Finite Group Databasebeta

← D17×#3505 #17942239

Subgroups — D17×#3505 #17942239

Order 4352.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542625C211yesmaximal, characteristic, complemented
2#14542624C212yesmaximal, complemented
3#14542623C211yesmaximal, characteristic, complemented
4#14542622C212yesmaximal, complemented
5#14542621C212yesmaximal, complemented
6#14542620C212yesmaximal, complemented
7#14542619C212yesmaximal, complemented
8#14542618C211yesmaximal, characteristic, complemented
9#14542617C214yesmaximal, complemented
10#14542616C212yesmaximal, complemented
11#14542615C214yesmaximal, complemented
12#14542614C212yesmaximal, complemented
13#14542613C212yesmaximal, complemented
14#14542612C212yesmaximal, complemented
15#14542611C212yesmaximal, complemented
16D17×#553C214yesmaximal, complemented
17D17×#553C212yesmaximal, complemented
18D17×#552C212yesmaximal, complemented
19D17×#551C214yesmaximal, complemented
20D17×#548C212yesmaximal, complemented
21D17×#546C212yesmaximal, complemented
22D17×#539C212yesmaximal, complemented
23D17×#538C212yesmaximal, complemented
24D17×#534C212yesmaximal, complemented
25D17×#529C212yesmaximal, complemented
26D17×#525C212yesmaximal, complemented
27C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
28C2×#121×D17C211yesmaximal, characteristic, complemented
29D17×#518C212yesmaximal, complemented
30C2×C4×D4×D17C211yesmaximal, characteristic, complemented
31C17×#3505C211yesmaximal, characteristic, complemented
32C2×#41×D17C2212yescomplemented
33C22×Q8×D17C2211yescharacteristic, complemented
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2212yes—
36C22×D4×D17C2211yescharacteristic, complemented
37C23×C4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic, complemented
39#11763512C2214yescomplemented
40#11763512C2212yescomplemented
41#11763511C2214yescomplemented
42#11763511C2212yescomplemented
43#11763510C2214yescomplemented
44#11763510C2214yescomplemented
45#11763510C2214yescomplemented
46#11763509C2212yescomplemented
47#11763509C2214yescomplemented
48#11763508C2214yescomplemented
49#11763508C2214yescomplemented
50#11763508C2214yescomplemented
51#11763507C2212yescomplemented
52#11763507C2214yescomplemented
53#11763506C2212yescomplemented
54#11763506C2214yescomplemented
55#11763505C2214yescomplemented
56#11763505C2212yescomplemented
57#11763504C2214yescomplemented
58#11763504C2214yescomplemented
59#11763504C2214yescomplemented
60#11763503C2212yescomplemented
61#11763503C2214yescomplemented
62#11763502C2214yescomplemented
63#11763502C2214yescomplemented
64#11763502C2214yescomplemented
65#11763501C2212yescomplemented
66#11763500C2212yescomplemented
67#11763499C2212yescomplemented
68#11763498C2212yescomplemented
69#11763497C2212yescomplemented
70#11763496C2214yescomplemented
71#11763495C2214yescomplemented
72#11763494C2212yescomplemented
73#11763493C2212yescomplemented
74#11763492C2214yescomplemented
75#11763491C2214yescomplemented
76#11763490C2214yescomplemented
77#11763489C2214yescomplemented
78#11763488C2214yescomplemented
79#11763488C2214yescomplemented
80#11763487C2214yescomplemented
81#11763486C2214yescomplemented
82#11763486C2214yescomplemented
83#11763485C2214yescomplemented
84#11763485C2214yescomplemented
85#11763484C2214yescomplemented
86#11763484C2214yescomplemented
87#11763483C2214yescomplemented
88#11763483C2214yescomplemented
89#11763482C2214yescomplemented
90#11763482C2214yescomplemented
91#11763471C2212yescomplemented
92#11763470C2212yescomplemented
93#11763469C2212yescomplemented
94#11763469C2214yescomplemented
95#11763468C2212yescomplemented
96#11763468C2214yescomplemented
97#11763467C2212yescomplemented
98#11763467C2214yescomplemented
99#11763466C2212yescomplemented
100#11763465C2212yescomplemented
101#11763465C2214yescomplemented
102#11763456C2212yescomplemented
103#11763455C2212yescomplemented
104#11763454C2212yescomplemented
105#11763453C2212yescomplemented
106#11763452C2212yescomplemented
107#11763451C2214yescomplemented
108#11763450C2212yescomplemented
109#11763449C2214yescomplemented
110#11763448C2214yescomplemented
111#11763447C2212yescomplemented
112#11763446C2214yescomplemented
113#11763408C2212yescomplemented
114#11763407C2214yescomplemented
115#11763406C2212yescomplemented
116#11763405C2214yescomplemented
117#11763404C2212yescomplemented
118#11763403C2214yescomplemented
119#11763402C2214yescomplemented
120#11763401C2214yescomplemented
121#11763400C2214yescomplemented
122#11763399C2212yescomplemented
123#11763398C2214yescomplemented
124#11763397C2212yescomplemented
125#11763396C2212yescomplemented
126#11763395C2214yescomplemented
127#11763394C2214yescomplemented
128#11763393C2214yescomplemented
129#11763392C2214yescomplemented
130#11763391C2214yescomplemented
131#11763371C2212yescomplemented
132#11763370C2214yescomplemented
133#11763370C2214yescomplemented
134#11763369C2214yescomplemented
135#11763369C2214yescomplemented
136#11763368C2212yescomplemented
137#11763368C2212yescomplemented
138#11763367C2214yescomplemented
139#11763367C2214yescomplemented
140#11763346C2212yescomplemented
141#11763345C2212yescomplemented
142#11763344C2212yescomplemented
143#11763343C2212yescomplemented
144#11763342C2214yescomplemented
145#11763341C2212yescomplemented
146#11763340C2212yescomplemented
147#11763339C2214yescomplemented
148#11763338C2212yescomplemented
149#11763337C2214yescomplemented
150#11763336C2214yescomplemented
151#126×D17C2214yescomplemented
152#126×D17C2214yescomplemented
153#126×D17C2214yescomplemented
154#125×D17C2214yescomplemented
155#125×D17C2212yescomplemented
156#124×D17C2214yescomplemented
157#124×D17C2212yescomplemented
158#11763322C2212yescomplemented
159#11763322C2212yescomplemented
160#11763321C2212yescomplemented
161#11763320C2212yescomplemented
162#11763319C2212yescomplemented
163#11763319C2212yescomplemented
164#11763318C2214yescomplemented
165#11763318C2214yescomplemented
166#11763317C2214yescomplemented
167#11763316C2212yescomplemented
168#11763315C2214yescomplemented
169#123×D17C2214yes—
170#123×D17C2214yescomplemented
171#123×D17C2214yescomplemented
172#123×D17C2214yescomplemented
173#123×D17C2214yescomplemented
174C2×#10587583C2211yescharacteristic, complemented
175C2×#10587610C2211yescharacteristic, complemented
176C2×#10587582C2212yescomplemented
177C2×#10587564C2212yescomplemented
178C2×#10587632C2211yescharacteristic, complemented
179C22⋊Q8×D17C2212yescomplemented
180C22⋊Q8×D17C2214yescomplemented
181C22⋊Q8×D17C2212yescomplemented
182C22⋊Q8×D17C2212yescomplemented
183C22⋊Q8×D17C2212yescomplemented
184C22⋊Q8×D17C2212yescomplemented
185C22⋊Q8×D17C2212yescomplemented
186C22⋊Q8×D17C2212yescomplemented
187C22⋊Q8×D17C2212yescomplemented
188C22⋊Q8×D17C2212yescomplemented
189C2×#10587581C2211yescharacteristic, complemented
190C2×#10587616C2211yescharacteristic, complemented
191C2×#10587570C2212yescomplemented
192C2×#10587625C2212yescomplemented
193C2×#10587624C2211yescharacteristic, complemented
194#121×D17C2212yes—
195#121×D17C2212yes—
196#121×D17C2214yescomplemented
197#121×D17C2214yescomplemented
198#121×D17C2214yescomplemented
199#121×D17C2212yescomplemented
200#121×D17C2212yescomplemented
201#121×D17C2212yescomplemented
202#121×D17C2212yescomplemented
203#121×D17C2212yescomplemented
204#121×D17C2212yescomplemented
205#121×D17C2212yescomplemented
206#120×D17C2214yes—
207#120×D17C2214yescomplemented
208#11763284C2212yescomplemented
209#11763283C2214yescomplemented
210#11763282C2214yescomplemented
211#11763282C2212yescomplemented
212#11763282C2212yescomplemented
213#11763281C2214yescomplemented
214#11763281C2214yescomplemented
215#11763281C2214yescomplemented
216#11763281C2214yescomplemented
217C4×Q8×D17C2212yescomplemented
218C2×C4×D68C2211yescharacteristic, complemented
219C2×D4×Dic17C2211yescharacteristic, complemented
220C2×#10587579C2211yescharacteristic, complemented
221C2×C4×C22⋊D17C2211yescharacteristic, complemented
222C2×C4×C22⋊D17C2211yescharacteristic, complemented
223C2×#10587567C2211yescharacteristic, complemented
224C2×#10587567C2211yescharacteristic, complemented
225C4×D4×D17C2212yes—
226C4×D4×D17C2212yes—
227C4×D4×D17C2214yescomplemented
228C4×D4×D17C2214yescomplemented
229C4×D4×D17C2212yescomplemented
230C4×D4×D17C2212yescomplemented
231C4×D4×D17C2214yescomplemented
232C4×D4×D17C2214yescomplemented
233C4×D4×D17C2212yescomplemented
234C4×D4×D17C2214yescomplemented
235C4×D4×D17C2212yescomplemented
236C4×D4×D17C2212yescomplemented
237C4×D4×D17C2212yescomplemented
238C4×D4×D17C2212yescomplemented
239#117×D17C2214yescomplemented
240#117×D17C2212yescomplemented
241#117×D17C2214yescomplemented
242C2×C4⋊C4×D17C2211yescharacteristic, complemented
243C2×C4⋊C4×D17C2211yescharacteristic, complemented
244C2×C4⋊C4×D17C2211yescharacteristic, complemented
245C2×C4⋊C4×D17C2212yescomplemented
246C2×C22⋊C4×D17C2212yes—
247C2×C22⋊C4×D17C2211yescharacteristic
248C2×C22⋊C4×D17C2211yescharacteristic, complemented
249C2×C22⋊C4×D17C2214yescomplemented
250C2×C22⋊C4×D17C2212yescomplemented
251C2×C42×D17C2211yescharacteristic, complemented
252C17×#553C2212yescomplemented
253C17×#553C2214yescomplemented
254C17×#552C2212yescomplemented
255C17×#551C2214yescomplemented
256C17×#548C2212yescomplemented
257C17×#546C2212yescomplemented
258C17×#539C2212yescomplemented
259C17×#538C2212yescomplemented
260C17×#534C2212yescomplemented
261C17×#529C2212yescomplemented
262C17×#525C2212yescomplemented
263C2×C17×C22⋊Q8C2211yescharacteristic, complemented
264C2×C17×#121C2211yescharacteristic, complemented
265C17×#518C2212yescomplemented
266C2×C4×D4×C17C2211yescharacteristic, complemented
267C24×D17C2312yes—
268C24×D17C2311yescharacteristic
269C24×D17C2311yescharacteristic
270C2×#41×C17C2312yescomplemented
271C22×Q8×C17C2311yescharacteristic, complemented
272C22×D4×C17C2311yescharacteristic
273C22×D4×C17C2312yes—
274C22×D4×C17C2311yescharacteristic, complemented
275C23×C4×C17C2311yescharacteristic
276C23×C4×C17C2311yescharacteristic, complemented
277C22×C22⋊D17C2311yescharacteristic
278C22×C22⋊D17C2311yescharacteristic
279C22×C22⋊D17C2312yes—
280C22×C22⋊D17C2312yes—
281C22×C22⋊D17C2312yescomplemented
282C23×Dic17C2311yescharacteristic
283C23×Dic17C2311yescharacteristic, complemented
284#41×D17—48no—
285C2×#63256C2312yescomplemented
286C2×Q8×D17—44no—
287C2×Q8×D17C2312yes—
288C2×Q8×D17C2312yes—
289C2×Q8×D17C2312yescomplemented
290C2×Q8×D17C2312yescomplemented
291C2×#63254C2314yescomplemented
292C2×#63254C2312yescomplemented
293C2×D4×D17—28no—
294C2×D4×D17—216no—
295C2×D4×D17—44no—
296C2×D4×D17C2312yes—
297C2×D4×D17C2314yes—
298C2×D4×D17C2312yes—
299C2×D4×D17C2314yes—
300C2×D4×D17C2312yes—
301C2×D4×D17C2312yes—
302C2×D4×D17C2312yes—
303C2×D4×D17C2314yes—
304C2×D4×D17C2314yes—
305C2×D4×D17C2314yes—
306C2×D4×D17C2314yes—
307C2×D4×D17C2312yes—
308C2×D4×D17C2312yescomplemented
309C2×D4×D17C2312yescomplemented
310C2×#63252C2312yescomplemented
311C2×#63252C2314yescomplemented
312C22×D68C2311yescharacteristic
313C22×D68C2312yes—
314C22×D68C2311yescharacteristic, complemented
315C22×C4×D17—44no—
316C22×C4×D17—44no—
317C22×C4×D17C2311yescharacteristic
318C22×C4×D17C2311yescharacteristic
319C22×C4×D17C2312yes—
320C22×C4×D17C2311yescharacteristic
321C22×C4×D17C2311yescharacteristic
322C22×C4×D17C2312yes—
323C22×C4×D17C2311yescharacteristic
324C22×C4×D17C2312yes—
325C22×C4×D17C2311yescharacteristic
326C22×C4×D17C2312yes—
327C22×C4×D17C2311yescharacteristic
328C22×C4×D17C2311yescharacteristic
329C22×C4×D17C2314yes—
330C22×C4×D17C2314yes—
331C22×C4×D17C2311yescharacteristic
332C22×C4×D17C2312yes—
333C22×C4×D17C2311yescharacteristic
334C22×C4×D17C2311yescharacteristic
335C22×C4×D17C2311yescharacteristic
336C22×C4×D17C2311yescharacteristic
337C22×C4×D17C2311yescharacteristic
338C22×C4×D17C2311yescharacteristic
339C22×C4×D17C2312yescomplemented
340C22×C4×D17C2312yescomplemented
341C22×C4×D17C2311yescharacteristic, complemented
342C22×C4×D17C2311yescharacteristic, complemented
343C22×Dic34C2312yescomplemented
344C22×Dic34C2311yescharacteristic, complemented
345C17×#126C2314yescomplemented
346C17×#126C2314yescomplemented
347C17×#126C2314yescomplemented
348C17×#125C2314yescomplemented
349C17×#125C2312yescomplemented
350C17×#124C2314yescomplemented
351C17×#124C2312yescomplemented
352C17×#123C2314yes—
353C17×#123C2314yescomplemented
354C17×#123C2314yescomplemented
355C17×#123C2314yescomplemented
356C17×#123C2314yescomplemented
357C17×C22⋊Q8C2314yescomplemented
358C17×C22⋊Q8C2312yescomplemented
359C17×C22⋊Q8C2312yescomplemented
360C17×C22⋊Q8C2312yescomplemented
361C17×C22⋊Q8C2312yescomplemented
362C17×C22⋊Q8C2312yescomplemented
363C17×#121C2312yes—
364C17×#121C2312yes—
365C17×#121C2312yescomplemented
366C17×#121C2312yescomplemented
367C17×#121C2314yescomplemented
368C17×#121C2312yescomplemented
369C17×#121C2314yescomplemented
370C17×#121C2314yescomplemented
371C17×#120C2314yes—
372C17×#120C2314yescomplemented
373C4×Q8×C17C2312yescomplemented
374C4×D4×C17C2312yes—
375C4×D4×C17C2312yes—
376C4×D4×C17C2312yescomplemented
377C4×D4×C17C2314yescomplemented
378C4×D4×C17C2312yescomplemented
379C4×D4×C17C2314yescomplemented
380C4×D4×C17C2314yescomplemented
381C4×D4×C17C2314yescomplemented
382C4×D4×C17C2314yescomplemented
383C4×D4×C17C2312yescomplemented
384C17×#117C2314yescomplemented
385C17×#117C2314yescomplemented
386C17×#117C2312yescomplemented
387C2×C4⋊C4×C17C2311yescharacteristic, complemented
388C2×C4⋊C4×C17C2311yescharacteristic, complemented
389C2×C4⋊C4×C17C2312yescomplemented
390C2×C4⋊C4×C17C2311yescharacteristic, complemented
391C2×C22⋊C4×C17C2311yescharacteristic
392C2×C22⋊C4×C17C2312yes—
393C2×C22⋊C4×C17C2311yescharacteristic, complemented
394C2×C22⋊C4×C17C2314yescomplemented
395C2×C22⋊C4×C17C2312yescomplemented
396C2×C42×C17C2311yescharacteristic, complemented
397#10587639C2314yes—
398#10587639C2314yescomplemented
399C2×C22⋊Dic17C2311yescharacteristic
400C2×C22⋊Dic17C2312yes—
401C2×C22⋊Dic17C2312yescomplemented
402C2×C22⋊Dic17C2314yescomplemented
403C2×C22⋊Dic17C2311yescharacteristic, complemented
404#10587633C2314yescomplemented
405#10587633C2312yescomplemented
406#10587632C2314yescomplemented
407#10587632C2312yescomplemented
408#10587632C2312yescomplemented
409#10587632C2312yescomplemented
410#10587632C2312yescomplemented
411#10587632C2312yescomplemented
412Q8×Dic17C2312yescomplemented
413#10587625C2314yes—
414#10587625C2314yes—
415#10587625C2314yescomplemented
416#10587625C2314yescomplemented
417#10587625C2314yescomplemented
418#10587625C2314yescomplemented
419#10587625C2314yescomplemented
420#10587625C2314yescomplemented
421#10587625C2314yescomplemented
422#10587625C2314yescomplemented
423#10587625C2314yescomplemented
424#10587624C2312yes—
425#10587624C2312yes—
426#10587624C2314yescomplemented
427#10587624C2314yescomplemented
428#10587624C2312yescomplemented
429#10587624C2312yescomplemented
430#10587624C2314yescomplemented
431#10587624C2312yescomplemented
432#10587623C2314yes—
433#10587623C2314yes—
434#10587623C2314yes—
435#10587623C2314yescomplemented
436#10587623C2314yescomplemented
437#10587623C2314yescomplemented
438#10587622C2312yescomplemented
439#10587622C2314yescomplemented
440#10587621C2314yes—
441#10587621C2314yescomplemented
442#10587621C2314yescomplemented
443#10587621C2314yescomplemented
444#10587621C2314yescomplemented
445D4×Dic17C2312yes—
446D4×Dic17C2312yes—
447D4×Dic17C2312yescomplemented
448D4×Dic17C2314yescomplemented
449D4×Dic17C2314yescomplemented
450D4×Dic17C2314yescomplemented
451D4×Dic17C2312yescomplemented
452D4×Dic17C2312yescomplemented
453D4×Dic17C2314yescomplemented
454D4×Dic17C2314yescomplemented
455#10587616C2312yes—
456#10587616C2312yes—
457#10587616C2312yescomplemented
458#10587616C2314yescomplemented
459#10587616C2312yescomplemented
460#10587616C2314yescomplemented
461#10587616C2314yescomplemented
462#10587616C2312yescomplemented
463#10587615C2314yes—
464#10587615C2314yescomplemented
465#10587615C2314yescomplemented
466#10587615C2314yescomplemented
467#10587615C2314yescomplemented
468C4×C22⋊D17C2312yes—
469C4×C22⋊D17C2312yes—
470C4×C22⋊D17C2312yes—
471C4×C22⋊D17C2312yes—
472C4×C22⋊D17C2314yescomplemented
473C4×C22⋊D17C2312yescomplemented
474C4×C22⋊D17C2312yescomplemented
475C4×C22⋊D17C2314yescomplemented
476C4×C22⋊D17C2314yescomplemented
477C4×C22⋊D17C2314yescomplemented
478C4×C22⋊D17C2312yescomplemented
479C4×C22⋊D17C2314yescomplemented
480C4×C22⋊D17C2314yescomplemented
481C4×C22⋊D17C2312yescomplemented
482C4×C22⋊D17C2314yescomplemented
483C4×C22⋊D17C2314yescomplemented
484C4×C22⋊D17C2314yescomplemented
485C4×C22⋊D17C2314yescomplemented
486C4×C22⋊D17C2314yescomplemented
487C2×#63227C2311yescharacteristic
488C2×#63227C2311yescharacteristic
489C2×#63227C2312yes—
490C2×#63227C2312yes—
491C2×#63227C2312yescomplemented
492C2×#63227C2314yescomplemented
493C2×#63227C2312yescomplemented
494C2×#63227C2314yescomplemented
495C2×#63227C2311yescharacteristic, complemented
496C2×#63227C2311yescharacteristic, complemented
497#10587612C2314yescomplemented
498#10587612C2314yescomplemented
499#10587612C2312yescomplemented
500C2×C4⋊Dic17C2311yescharacteristic, complemented
501C2×C4⋊Dic17C2311yescharacteristic, complemented
502C2×C4⋊Dic17C2312yescomplemented
503C2×C4⋊Dic17C2311yescharacteristic, complemented
504#10587610C2314yescomplemented
505#10587610C2312yescomplemented
506#10587610C2312yescomplemented
507#10587610C2312yescomplemented
508#10587610C2312yescomplemented
509#10587610C2312yescomplemented
510C2×#63225C2312yescomplemented
511C2×#63225C2312yescomplemented
512C2×#63225C2312yescomplemented
513C2×#63225C2312yescomplemented
514C2×#63225C2311yescharacteristic, complemented
515C2×#63225C2311yescharacteristic, complemented
516C2×C4×Dic17C2311yescharacteristic, complemented
517C2×C4×Dic17C2311yescharacteristic, complemented
518C2×C4×Dic17C2311yescharacteristic, complemented
519#10587584C2314yescomplemented
520#10587584C2314yescomplemented
521#10587584C2314yescomplemented
522#10587584C2314yescomplemented
523#10587584C2314yescomplemented
524#10587584C2314yescomplemented
525#10587584C2314yescomplemented
526#10587584C2314yescomplemented
527#10587584C2314yescomplemented
528#10587583C2312yescomplemented
529#10587583C2314yescomplemented
530#10587583C2312yescomplemented
531#10587583C2312yescomplemented
532#10587583C2312yescomplemented
533#10587583C2312yescomplemented
534#10587582C2314yescomplemented
535#10587582C2314yescomplemented
536#10587582C2314yescomplemented
537#10587582C2314yescomplemented
538#10587582C2314yescomplemented
539#10587582C2314yescomplemented
540#10587582C2314yescomplemented
541#10587581C2312yes—
542#10587581C2312yes—
543#10587581C2312yescomplemented
544#10587581C2314yescomplemented
545#10587581C2314yescomplemented
546#10587581C2312yescomplemented
547#10587581C2314yescomplemented
548#10587581C2312yescomplemented
549#10587580C2314yes—
550#10587580C2314yes—
551#10587580C2314yescomplemented
552#10587580C2314yescomplemented
553#10587580C2314yescomplemented
554#10587580C2314yescomplemented
555#10587580C2314yescomplemented
556#10587580C2314yescomplemented
557#10587580C2314yescomplemented
558#10587580C2314yescomplemented
559#10587579C2312yes—
560#10587579C2312yes—
561#10587579C2312yescomplemented
562#10587579C2314yescomplemented
563#10587579C2312yescomplemented
564#10587579C2314yescomplemented
565#10587579C2312yescomplemented
566#10587579C2314yescomplemented
567#10587579C2314yescomplemented
568#10587579C2314yescomplemented
569#10587578C2314yescomplemented
570#10587578C2314yescomplemented
571#10587578C2314yescomplemented
572#10587578C2314yescomplemented
573#10587578C2312yescomplemented
574#10587578C2312yescomplemented
575C4⋊C4×D17C2312yes—
576C4⋊C4×D17C2314yes—
577C4⋊C4×D17C2312yes—
578C4⋊C4×D17C2312yes—
579C4⋊C4×D17C2312yes—
580C4⋊C4×D17C2312yes—
581C4⋊C4×D17C2314yes—
582C4⋊C4×D17C2312yes—
583C4⋊C4×D17C2314yes—
584C4⋊C4×D17C2314yes—
585C4⋊C4×D17C2314yes—
586C4⋊C4×D17C2314yes—
587C4⋊C4×D17C2312yescomplemented
588C4⋊C4×D17C2312yescomplemented
589C4⋊C4×D17C2314yescomplemented
590C4⋊C4×D17C2312yescomplemented
591C4⋊C4×D17C2312yescomplemented
592C4⋊C4×D17C2314yescomplemented
593C4⋊C4×D17C2312yescomplemented
594C4⋊C4×D17C2312yescomplemented
595#10587576C2312yescomplemented
596#10587576C2314yescomplemented
597#10587576C2314yescomplemented
598#10587576C2312yescomplemented
599#10587575C2314yescomplemented
600#10587575C2314yescomplemented
601#10587575C2314yescomplemented
602#10587575C2314yescomplemented
603#10587575C2314yescomplemented
604#10587575C2314yescomplemented
605#10587573C2314yescomplemented
606#10587573C2312yescomplemented
607#10587572C2314yes—
608#10587572C2314yescomplemented
609#10587572C2314yescomplemented
610#10587572C2314yescomplemented
611#10587572C2314yescomplemented
612#10587571C2314yescomplemented
613#10587571C2314yescomplemented
614#10587571C2314yescomplemented
615#10587571C2314yescomplemented
616#10587571C2314yescomplemented
617#10587571C2314yescomplemented
618#10587570C2314yes—
619#10587570C2314yes—
620#10587570C2314yescomplemented
621#10587570C2314yescomplemented
622#10587570C2314yescomplemented
623#10587570C2314yescomplemented
624#10587570C2314yescomplemented
625#10587570C2314yescomplemented
626#10587570C2314yescomplemented
627#10587570C2314yescomplemented
628#10587570C2314yescomplemented
629#10587569C2314yes—
630#10587569C2314yes—
631#10587569C2314yescomplemented
632#10587569C2314yescomplemented
633#10587569C2314yescomplemented
634#10587569C2314yescomplemented
635#10587569C2314yescomplemented
636#10587569C2314yescomplemented
637#10587569C2314yescomplemented
638#10587569C2314yescomplemented
639#10587568C2314yes—
640#10587568C2314yes—
641#10587568C2314yes—
642#10587568C2314yescomplemented
643#10587568C2314yescomplemented
644#10587568C2314yescomplemented
645#10587567C2312yes—
646#10587567C2312yes—
647#10587567C2312yes—
648#10587567C2312yes—
649#10587567C2312yescomplemented
650#10587567C2314yescomplemented
651#10587567C2314yescomplemented
652#10587567C2312yescomplemented
653#10587567C2314yescomplemented
654#10587567C2314yescomplemented
655#10587567C2314yescomplemented
656#10587567C2314yescomplemented
657#10587567C2312yescomplemented
658#10587567C2314yescomplemented
659#10587567C2312yescomplemented
660#10587567C2314yescomplemented
661#10587567C2314yescomplemented
662#10587567C2314yescomplemented
663#10587567C2314yescomplemented
664C22⋊C4×D17C2312yes—
665C22⋊C4×D17C2314yes—
666C22⋊C4×D17C2312yes—
667C22⋊C4×D17C2312yes—
668C22⋊C4×D17C2312yes—
669C22⋊C4×D17C2314yes—
670C22⋊C4×D17C2314yes—
671C22⋊C4×D17C2314yes—
672C22⋊C4×D17C2314yes—
673C22⋊C4×D17C2312yes—
674C22⋊C4×D17C2312yes—
675C22⋊C4×D17C2314yes—
676C22⋊C4×D17C2314yes—
677C22⋊C4×D17C2314yes—
678C22⋊C4×D17C2314yes—
679C22⋊C4×D17C2314yes—
680C22⋊C4×D17C2314yes—
681C22⋊C4×D17C2314yes—
682C22⋊C4×D17C2314yescomplemented
683C22⋊C4×D17C2314yescomplemented
684C22⋊C4×D17C2314yescomplemented
685C22⋊C4×D17C2314yescomplemented
686C22⋊C4×D17C2314yescomplemented
687C22⋊C4×D17C2314yescomplemented
688C22⋊C4×D17C2312yescomplemented
689C22⋊C4×D17C2312yescomplemented
690#10587565C2314yescomplemented
691#10587565C2314yescomplemented
692#10587565C2314yescomplemented
693#10587565C2314yescomplemented
694#10587565C2314yescomplemented
695#10587565C2314yescomplemented
696#10587565C2314yescomplemented
697#10587565C2314yescomplemented
698#10587565C2314yescomplemented
699#10587564C2314yescomplemented
700#10587564C2314yescomplemented
701#10587564C2314yescomplemented
702#10587564C2314yescomplemented
703#10587564C2314yescomplemented
704#10587564C2314yescomplemented
705#10587564C2314yescomplemented
706#10587563C2314yescomplemented
707#10587563C2314yescomplemented
708#10587563C2314yescomplemented
709#10587563C2314yescomplemented
710#10587563C2314yescomplemented
711#10587562C2314yescomplemented
712#10587562C2314yescomplemented
713#10587562C2314yescomplemented
714#10587561C2314yescomplemented
715#10587561C2312yescomplemented
716C4×D68C2312yes—
717C4×D68C2312yes—
718C4×D68C2314yescomplemented
719C4×D68C2312yescomplemented
720C4×D68C2314yescomplemented
721C4×D68C2312yescomplemented
722C4×D68C2314yescomplemented
723C4×D68C2312yescomplemented
724C4×D68C2314yescomplemented
725C4×D68C2314yescomplemented
726#10587558C2314yescomplemented
727#10587558C2314yescomplemented
728#10587558C2314yescomplemented
729#10587558C2314yescomplemented
730#10587558C2314yescomplemented
731C42×D17C2312yes—
732C42×D17C2312yes—
733C42×D17C2314yes—
734C42×D17C2314yes—
735C42×D17C2312yescomplemented
736C42×D17C2312yescomplemented
737#10587556C2314yescomplemented
738#10587556C2312yescomplemented
739C4×Dic34C2314yescomplemented
740C4×Dic34C2312yescomplemented
741C24×C17C2411yescharacteristic
742C24×C17C2412yes—
743C24×C17C2411yescharacteristic
744C23×D17—24no—
745C23×D17—28no—
746C23×D17—42no—
747C23×D17—42no—
748C23×D17—42no—
749C23×D17—42no—
750C23×D17—44no—
751C23×D17—44no—
752C23×D17#4118yescomplemented
753C23×D17C2412yes—
754C23×D17C2414yes—
755C23×D17C2411yescharacteristic
756C23×D17C2411yescharacteristic
757C23×D17C2411yescharacteristic
758C23×D17C2411yescharacteristic
759C23×D17C2412yes—
760C23×D17C2412yes—
761C23×D17C2414yes—
762C23×D17C2411yescharacteristic
763C23×D17C2411yescharacteristic
764C23×D17C2411yescharacteristic
765#41×C17—44no—
766C2×Q8×C17—42no—
767C2×Q8×C17C2412yes—
768C2×Q8×C17C2412yes—
769C2×D4×C17—24no—
770C2×D4×C17—28no—
771C2×D4×C17—42no—
772C2×D4×C17C2412yes—
773C2×D4×C17C2414yes—
774C2×D4×C17C2412yes—
775C2×D4×C17C2412yes—
776C2×D4×C17C2414yes—
777C2×D4×C17C2412yes—
778C2×D4×C17C2414yes—
779C2×D4×C17C2414yes—
780C22×C4×C17—42no—
781C22×C4×C17—42no—
782C22×C4×C17C2411yescharacteristic
783C22×C4×C17C2411yescharacteristic
784C22×C4×C17C2412yes—
785C22×C4×C17C2412yes—
786C22×C4×C17C2411yescharacteristic
787C22×C4×C17C2411yescharacteristic
788C22×C4×C17C2411yescharacteristic
789C22×C4×C17C2411yescharacteristic
790C22×C4×C17C2414yes—
791C22×C4×C17C2412yes—
792C22×C4×C17C2414yes—
793C22×C4×C17C2412yes—
794C22×C4×C17C2411yescharacteristic
795C22×C4×C17C2411yescharacteristic
796C22×C4×C17C2411yescharacteristic
797C22×C4×C17C2412yes—
798C2×C22⋊D17—24no—
799C2×C22⋊D17—28no—
800C2×C22⋊D17—28no—
801C2×C22⋊D17—24no—
802C2×C22⋊D17—44no—
803C2×C22⋊D17C2414yes—
804C2×C22⋊D17C2412yes—
805C2×C22⋊D17C2412yes—
806C2×C22⋊D17C2414yes—
807C2×C22⋊D17C2414yes—
808C2×C22⋊D17C2412yes—
809C2×C22⋊D17C2414yes—
810C2×C22⋊D17C2412yes—
811C2×C22⋊D17C2414yes—
812C2×C22⋊D17C2414yes—
813C2×C22⋊D17C2414yes—
814C2×C22⋊D17C2414yes—
815C2×C22⋊D17C2414yes—
816C2×C22⋊D17C2414yes—
817C22×Dic17—42no—
818C22×Dic17—42no—
819C22×Dic17C2411yescharacteristic
820C22×Dic17C2411yescharacteristic
821C22×Dic17C2411yescharacteristic
822C22×Dic17C2412yes—
823C22×Dic17C2412yes—
824C22×Dic17C2411yescharacteristic
825C22×Dic17C2412yes—
826C22×Dic17C2411yescharacteristic
827C22×Dic17C2411yescharacteristic
828C22×Dic17C2411yescharacteristic
829C22×Dic17C2412yes—
830C22×Dic17C2411yescharacteristic
831C22×Dic17C2414yes—
832C22×Dic17C2414yes—
833C22×Dic17C2411yescharacteristic
834C22×Dic17C2412yes—
835#63256—44no—
836Q8×D17—28no—
837Q8×D17—44no—
838Q8×D17—44no—
839Q8×D17—44no—
840#63254—44no—
841#63254—48no—
842D4×D17—28no—
843D4×D17—216no—
844D4×D17—28no—
845D4×D17—216no—
846D4×D17—28no—
847D4×D17—28no—
848D4×D17—216no—
849D4×D17—216no—
850D4×D17—28no—
851D4×D17—44no—
852D4×D17—44no—
853D4×D17—44no—
854D4×D17—48no—
855D4×D17—48no—
856#63252—48no—
857#63252—44no—
858C2×D68—24no—
859C2×D68—28no—
860C2×D68—42no—
861C2×D68C2412yes—
862C2×D68C2414yes—
863C2×D68C2412yes—
864C2×D68C2414yes—
865C2×D68C2412yes—
866C2×D68C2412yes—
867C2×D68C2414yes—
868C2×D68C2414yes—
869C2×C4×D17—28no—
870C2×C4×D17—24no—
871C2×C4×D17—24no—
872C2×C4×D17—24no—
873C2×C4×D17—24no—
874C2×C4×D17—28no—
875C2×C4×D17—42no—
876C2×C4×D17—42no—
877C2×C4×D17—42no—
878C2×C4×D17—44no—
879C2×C4×D17—42no—
880C2×C4×D17—42no—
881C2×C4×D17—42no—
882C2×C4×D17—42no—
883C2×C4×D17—44no—
884C2×C4×D17—42no—
885C2×C4×D17—42no—
886C2×C4×D17—44no—
887C2×C4×D17—42no—
888C2×C4×D17—42no—
889C2×C4×D17—42no—
890C2×C4×D17—42no—
891C2×C4×D17—48no—
892C2×C4×D17—44no—
893C2×C4×D17—44no—
894C2×C4×D17—48no—
895C2×C4×D17C2411yescharacteristic
896C2×C4×D17C2412yes—
897C2×C4×D17C2411yescharacteristic
898C2×C4×D17C2411yescharacteristic
899C2×C4×D17C2411yescharacteristic
900C2×C4×D17C2411yescharacteristic
901C2×C4×D17C2411yescharacteristic
902C2×C4×D17C2411yescharacteristic
903C2×C4×D17C2411yescharacteristic
904C2×C4×D17C2411yescharacteristic
905C2×C4×D17C2412yes—
906C2×C4×D17C2414yes—
907C2×C4×D17C2414yes—
908C2×C4×D17C2412yes—
909C2×C4×D17C2412yes—
910C2×C4×D17C2412yes—
911C2×C4×D17C2414yes—
912C2×C4×D17C2412yes—
913C2×C4×D17C2414yes—
914C2×C4×D17C2411yescharacteristic
915C2×C4×D17C2411yescharacteristic
916C2×C4×D17C2411yescharacteristic
917C2×C4×D17C2411yescharacteristic
918C2×C4×D17C2411yescharacteristic
919C2×C4×D17C2411yescharacteristic
920C2×C4×D17C2412yes—
921C2×C4×D17C2412yes—
922C2×C4×D17C2412yes—
923C2×C4×D17C2414yes—
924C2×C4×D17C2414yes—
925C2×C4×D17C2414yes—
926C2×C4×D17C2412yes—
927C2×C4×D17C2414yes—
928C2×C4×D17C2414yes—
929C2×C4×D17C2414yes—
930C2×C4×D17C2411yescharacteristic
931C2×Dic34—44no—
932C2×Dic34—42no—
933C2×Dic34C2412yes—
934C2×Dic34C2414yes—
935C2×Dic34C2414yes—
936C2×Dic34C2412yes—
937C4⋊C4×C17C2412yes—
938C4⋊C4×C17C2414yes—
939C4⋊C4×C17C2414yes—
940C4⋊C4×C17C2414yes—
941C4⋊C4×C17C2412yes—
942C4⋊C4×C17C2412yes—
943C4⋊C4×C17C2414yes—
944C4⋊C4×C17C2412yes—
945C4⋊C4×C17C2414yes—
946C4⋊C4×C17C2412yes—
947C4⋊C4×C17C2414yes—
948C4⋊C4×C17C2412yes—
949C22⋊C4×C17C2414yes—
950C22⋊C4×C17C2414yes—
951C22⋊C4×C17C2414yes—
952C22⋊C4×C17C2414yes—
953C22⋊C4×C17C2414yes—
954C22⋊C4×C17C2414yes—
955C22⋊C4×C17C2412yes—
956C22⋊C4×C17C2414yes—
957C22⋊C4×C17C2414yes—
958C22⋊C4×C17C2414yes—
959C22⋊C4×C17C2414yes—
960C22⋊C4×C17C2412yes—
961C22⋊C4×C17C2412yes—
962C22⋊C4×C17C2412yes—
963C42×C17C2412yes—
964C42×C17C2414yes—
965C42×C17C2414yes—
966C42×C17C2412yes—
967C22⋊Dic17C2412yes—
968C22⋊Dic17C2414yes—
969C22⋊Dic17C2414yes—
970C22⋊Dic17C2414yes—
971C22⋊Dic17C2414yes—
972C22⋊Dic17C2414yes—
973C22⋊Dic17C2414yes—
974C22⋊Dic17C2414yes—
975C22⋊Dic17C2412yes—
976C22⋊Dic17C2414yes—
977C22⋊Dic17C2414yes—
978C22⋊Dic17C2414yes—
979C22⋊Dic17C2412yes—
980C22⋊Dic17C2412yes—
981#63227C2412yes—
982#63227C2412yes—
983#63227C2414yes—
984#63227C2414yes—
985#63227C2414yes—
986#63227C2414yes—
987#63227C2414yes—
988#63227C2414yes—
989#63227C2414yes—
990#63227C2414yes—
991#63227C2412yes—
992#63227C2412yes—
993#63227C2412yes—
994#63227C2412yes—
995#63227C2414yes—
996#63227C2414yes—
997#63227C2414yes—
998#63227C2414yes—
999#63227C2414yes—
1000#63227C2414yes—
1001#63227C2414yes—
1002#63227C2414yes—
1003#63227C2414yes—
1004#63227C2414yes—
1005#63227C2414yes—
1006#63227C2414yes—
1007#63227C2412yes—
1008#63227C2412yes—
1009C4⋊Dic17C2412yes—
1010C4⋊Dic17C2414yes—
1011C4⋊Dic17C2412yes—
1012C4⋊Dic17C2414yes—
1013C4⋊Dic17C2414yes—
1014C4⋊Dic17C2412yes—
1015C4⋊Dic17C2412yes—
1016C4⋊Dic17C2414yes—
1017C4⋊Dic17C2414yes—
1018C4⋊Dic17C2414yes—
1019C4⋊Dic17C2412yes—
1020C4⋊Dic17C2412yes—
1021#63225C2414yes—
1022#63225C2414yes—
1023#63225C2414yes—
1024#63225C2412yes—
1025#63225C2414yes—
1026#63225C2414yes—
1027#63225C2414yes—
1028#63225C2414yes—
1029#63225C2414yes—
1030#63225C2414yes—
1031#63225C2414yes—
1032#63225C2414yes—
1033#63225C2414yes—
1034#63225C2414yes—
1035#63225C2412yes—
1036#63225C2414yes—
1037#63225C2414yes—
1038#63225C2412yes—
1039#63225C2414yes—
1040#63225C2412yes—
1041C4×Dic17C2412yes—
1042C4×Dic17C2414yes—
1043C4×Dic17C2412yes—
1044C4×Dic17C2412yes—
1045C4×Dic17C2412yes—
1046C4×Dic17C2412yes—
1047C4×Dic17C2412yes—
1048C4×Dic17C2414yes—
1049C4×Dic17C2414yes—
1050C4×Dic17C2414yes—
1051C4×Dic17C2414yes—
1052C4×Dic17C2414yes—
1053C2×#3505—171nomaximal, Sylow
1054C23×C17—22no—
1055C23×C17—24no—
1056C23×C17—41no—
1057C23×C17—41no—
1058C23×C17—41no—
1059C23×C17—41no—
1060C23×C17—42no—
1061C23×C17—42no—
1062C23×C17C2×#4114yescomplemented
1063C23×C17C2512yes—
1064C23×C17C2514yes—
1065C23×C17C2511yescharacteristic
1066C23×C17C2511yescharacteristic
1067C23×C17C2511yescharacteristic
1068C22×D17—22no—
1069C22×D17—22no—
1070C22×D17—22no—
1071C22×D17—22no—
1072C22×D17—22no—
1073C22×D17—22no—
1074C22×D17—22no—
1075C22×D17—24no—
1076C22×D17—24no—
1077C22×D17—24no—
1078C22×D17—28no—
1079C22×D17—24no—
1080C22×D17—28no—
1081C22×D17—28no—
1082C22×D17—24no—
1083C22×D17—28no—
1084C22×D17—416no—
1085C22×D17—41no—
1086C22×D17—41no—
1087C22×D17—41no—
1088C22×D17—42no—
1089C22×D17—41no—
1090C22×D17—41no—
1091C22×D17—41no—
1092C22×D17—41no—
1093C22×D17—42no—
1094C22×D17—41no—
1095C22×D17—42no—
1096C22×D17—44no—
1097C22×D17—44no—
1098C22×D17—42no—
1099C22×D17—416no—
1100C22×D17—816no—
1101C22×D17C2×#4114yes—
1102C22×D17C2×#4114yes—
1103C22×D17C2×#4114yes—
1104C22×D17C2×#4114yescomplemented
1105C22×D17C2×#4114yescomplemented
1106C22×D17C2×#4114yescomplemented
1107C22×D17C2512yes—
1108C22×D17C2514yes—
1109C22×D17C2511yescharacteristic
1110C22×D17C2511yescharacteristic
1111C22×D17C2511yescharacteristic
1112C22×D17C2511yescharacteristic
1113Q8×C17—24no—
1114Q8×C17—42no—
1115D4×C17—24no—
1116D4×C17—28no—
1117D4×C17—24no—
1118D4×C17—28no—
1119D4×C17—24no—
1120D4×C17—42no—
1121D4×C17—44no—
1122D4×C17—44no—
1123C2×C4×C17—24no—
1124C2×C4×C17—22no—
1125C2×C4×C17—22no—
1126C2×C4×C17—22no—
1127C2×C4×C17—22no—
1128C2×C4×C17—24no—
1129C2×C4×C17—42no—
1130C2×C4×C17—41no—
1131C2×C4×C17—41no—
1132C2×C4×C17—41no—
1133C2×C4×C17—42no—
1134C2×C4×C17—41no—
1135C2×C4×C17—44no—
1136C2×C4×C17—41no—
1137C2×C4×C17—44no—
1138C2×C4×C17—42no—
1139C2×C4×C17C2512yes—
1140C2×C4×C17C2512yes—
1141C2×C4×C17C2514yes—
1142C2×C4×C17C2512yes—
1143C2×C4×C17C2511yescharacteristic
1144C2×C4×C17C2514yes—
1145C2×C4×C17C2514yes—
1146C2×C4×C17C2511yescharacteristic
1147C2×C4×C17C2511yescharacteristic
1148C2×C4×C17C2511yescharacteristic
1149C22⋊D17—24no—
1150C22⋊D17—28no—
1151C22⋊D17—24no—
1152C22⋊D17—28no—
1153C22⋊D17—24no—
1154C22⋊D17—28no—
1155C22⋊D17—24no—
1156C22⋊D17—28no—
1157C22⋊D17—28no—
1158C22⋊D17—44no—
1159C22⋊D17—44no—
1160C22⋊D17—44no—
1161C22⋊D17—44no—
1162C22⋊D17—44no—
1163C2×Dic17—24no—
1164C2×Dic17—22no—
1165C2×Dic17—22no—
1166C2×Dic17—22no—
1167C2×Dic17—24no—
1168C2×Dic17—22no—
1169C2×Dic17—42no—
1170C2×Dic17—41no—
1171C2×Dic17—41no—
1172C2×Dic17—41no—
1173C2×Dic17—42no—
1174C2×Dic17—41no—
1175C2×Dic17—44no—
1176C2×Dic17—41no—
1177C2×Dic17—44no—
1178C2×Dic17—42no—
1179C2×Dic17C2511yescharacteristic
1180C2×Dic17C2512yes—
1181C2×Dic17C2514yes—
1182C2×Dic17C2514yes—
1183C2×Dic17C2512yes—
1184C2×Dic17C2511yescharacteristic
1185C2×Dic17C2512yes—
1186C2×Dic17C2514yes—
1187C2×Dic17C2511yescharacteristic
1188C2×Dic17C2511yescharacteristic
1189D68—24no—
1190D68—28no—
1191D68—24no—
1192D68—28no—
1193D68—24no—
1194D68—42no—
1195D68—44no—
1196D68—44no—
1197C4×D17—28no—
1198C4×D17—24no—
1199C4×D17—28no—
1200C4×D17—24no—
1201C4×D17—22no—
1202C4×D17—24no—
1203C4×D17—22no—
1204C4×D17—22no—
1205C4×D17—28no—
1206C4×D17—24no—
1207C4×D17—28no—
1208C4×D17—22no—
1209C4×D17—22no—
1210C4×D17—24no—
1211C4×D17—22no—
1212C4×D17—22no—
1213C4×D17—24no—
1214C4×D17—22no—
1215C4×D17—22no—
1216C4×D17—41no—
1217C4×D17—41no—
1218C4×D17—41no—
1219C4×D17—42no—
1220C4×D17—42no—
1221C4×D17—42no—
1222C4×D17—41no—
1223C4×D17—41no—
1224C4×D17—41no—
1225C4×D17—42no—
1226C4×D17—44no—
1227C4×D17—44no—
1228C4×D17—44no—
1229C4×D17—44no—
1230C4×D17—44no—
1231C4×D17—44no—
1232C4×D17H(5,𝔽2)14yes—
1233Dic34—24no—
1234Dic34—28no—
1235Dic34—42no—
1236Dic34—44no—
1237#3505—172no—
1238#3505—174no—
1239#3505—172no—
1240#3505—174no—
1241#3505—172no—
1242#3505—172no—
1243#3505—172no—
1244#3505—172no—
1245#3505—172no—
1246#3505—172no—
1247#3505—172no—
1248#3505—171no—
1249#3505—171no—
1250#3505—172no—
1251#3505—171no—
1252#3505D1711yescharacteristic, direct product factor
1253C2×#553—172no—
1254C2×#553—174no—
1255C2×#552—172no—
1256C2×#551—174no—
1257C2×#548—172no—
1258C2×#546—172no—
1259C2×#539—172no—
1260C2×#538—172no—
1261C2×#534—172no—
1262C2×#529—172no—
1263C2×#525—172no—
1264C22×C22⋊Q8—171no—
1265C22×#121—171no—
1266C2×#518—172no—
1267C22×C4×D4—171no—
1268C22×C17—21no—
1269C22×C17—21no—
1270C22×C17—21no—
1271C22×C17—21no—
1272C22×C17—21no—
1273C22×C17—21no—
1274C22×C17—22no—
1275C22×C17—24no—
1276C22×C17—22no—
1277C22×C17—24no—
1278C22×C17—24no—
1279C22×C17—22no—
1280C22×C17—44no—
1281C22×C17—44no—
1282C22×C17—84no—
1283C22×C17C22×#4112yes—
1284C22×C17C22×#4112yes—
1285C22×C17C22×#4112yes—
1286C22×C17C2611yescharacteristic
1287C2×D17—21no—
1288C2×D17—21no—
1289C2×D17—21no—
1290C2×D17—21no—
1291C2×D17—21no—
1292C2×D17—21no—
1293C2×D17—28no—
1294C2×D17—28no—
1295C2×D17—28no—
1296C2×D17—22no—
1297C2×D17—24no—
1298C2×D17—22no—
1299C2×D17—24no—
1300C2×D17—24no—
1301C2×D17—22no—
1302C2×D17—44no—
1303C2×D17—44no—
1304C2×D17—44no—
1305C2×D17—48no—
1306C2×D17—44no—
1307C2×D17—48no—
1308C2×D17—416no—
1309C2×D17—88no—
1310C2×D17—84no—
1311C2×D17C22×#4112yes—
1312C2×D17C22×#4112yes—
1313C2×D17C22×#4112yes—
1314C2×D17C22×#4112yes—
1315C2×D17C2×H(5,𝔽2)12yes—
1316C2×D17#58512yes—
1317C4×C17—24no—
1318C4×C17—22no—
1319C4×C17—24no—
1320C4×C17—21no—
1321C4×C17—21no—
1322C4×C17—22no—
1323C4×C17—21no—
1324C4×C17—22no—
1325C4×C17—24no—
1326C4×C17C2×H(5,𝔽2)12yes—
1327Dic17—24no—
1328Dic17—22no—
1329Dic17—24no—
1330Dic17—21no—
1331Dic17—21no—
1332Dic17—22no—
1333Dic17—21no—
1334Dic17—22no—
1335Dic17—24no—
1336Dic17C2×H(5,𝔽2)12yes—
1337C22×#41—172no—
1338C23×Q8—171no—
1339C23×D4—171no—
1340C23×D4—172no—
1341C23×D4—171no—
1342C24×C4—171no—
1343C24×C4—171no—
1344#553—174no—
1345#553—174no—
1346#553—174no—
1347#553—172no—
1348#553—174no—
1349#553—174no—
1350#553—174no—
1351#553—174no—
1352#553—174no—
1353#553—174no—
1354#553—174no—
1355#553—172no—
1356#553—174no—
1357#553—172no—
1358#553—174no—
1359#553—172no—
1360#553—174no—
1361#553—174no—
1362#553—174no—
1363#553—174no—
1364#553—172no—
1365#553—174no—
1366#553—172no—
1367#553—174no—
1368#553—172no—
1369#553—174no—
1370#553C2×D1712yescomplemented
1371#553C2×D1714yescomplemented
1372#552—174no—
1373#552—174no—
1374#552—172no—
1375#552—174no—
1376#552—172no—
1377#552—172no—
1378#552—172no—
1379#552—172no—
1380#552—174no—
1381#552—172no—
1382#552—172no—
1383#552C2×D1712yescomplemented
1384#551—174no—
1385#551—174no—
1386#551—174no—
1387#551—174no—
1388#551—174no—
1389#551—174no—
1390#551—174no—
1391#551—174no—
1392#551—174no—
1393#551—174no—
1394#551—174no—
1395#551—174no—
1396#551—174no—
1397#551—174no—
1398#551—174no—
1399#551C2×D1714yescomplemented
1400#548—172no—
1401#548—172no—
1402#548—174no—
1403#548—172no—
1404#548—172no—
1405#548—174no—
1406#548—174no—
1407#548—172no—
1408#548—172no—
1409#548—174no—
1410#548—172no—
1411#548C2×D1712yescomplemented
1412#546—172no—
1413#546—172no—
1414#546—172no—
1415#546—174no—
1416#546—172no—
1417#546—172no—
1418#546—174no—
1419#546—174no—
1420#546—172no—
1421#546—172no—
1422#546—174no—
1423#546C2×D1712yescomplemented
1424#539—174no—
1425#539—174no—
1426#539—174no—
1427#539—174no—
1428#539—174no—
1429#539—172no—
1430#539—172no—
1431#539—174no—
1432#539—172no—
1433#539C2×D1712yescomplemented
1434#538—174no—
1435#538—174no—
1436#538—174no—
1437#538—172no—
1438#538—172no—
1439#538—174no—
1440#538—174no—
1441#538—174no—
1442#538—172no—
1443#538C2×D1712yescomplemented
1444#534—172no—
1445#534—172no—
1446#534—174no—
1447#534—174no—
1448#534—174no—
1449#534—174no—
1450#534—174no—
1451#534—174no—
1452#534—172no—
1453#534C2×D1712yescomplemented
1454#529—174no—
1455#529—172no—
1456#529—172no—
1457#529—174no—
1458#529—172no—
1459#529—172no—
1460#529—172no—
1461#529—174no—
1462#529—172no—
1463#529—174no—
1464#529—172no—
1465#529C2×D1712yescomplemented
1466C2×#126—174no—
1467C2×#126—174no—
1468C2×#126—174no—
1469C2×#125—172no—
1470C2×#125—174no—
1471C2×#124—172no—
1472C2×#124—174no—
1473#525—172no—
1474#525—172no—
1475#525—174no—
1476#525—172no—
1477#525—172no—
1478#525—172no—
1479#525—172no—
1480#525—174no—
1481#525—174no—
1482#525—174no—
1483#525—172no—
1484#525C2×D1712yescomplemented
1485C2×#123—174no—
1486C2×#123—174no—
1487C2×#123—174no—
1488C2×#123—174no—
1489C2×#123—174no—
1490C2×C22⋊Q8—171no—
1491C2×C22⋊Q8—171no—
1492C2×C22⋊Q8—172no—
1493C2×C22⋊Q8—172no—
1494C2×C22⋊Q8—172no—
1495C2×C22⋊Q8—172no—
1496C2×C22⋊Q8—172no—
1497C2×C22⋊Q8—172no—
1498C2×C22⋊Q8—172no—
1499C2×C22⋊Q8—172no—
1500C2×C22⋊Q8—172no—
1501C2×C22⋊Q8—174no—
1502C2×C22⋊Q8—172no—
1503C2×C22⋊Q8—171no—
1504C2×C22⋊Q8—172no—
1505C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1506C2×#121—172no—
1507C2×#121—171no—
1508C2×#121—171no—
1509C2×#121—172no—
1510C2×#121—172no—
1511C2×#121—172no—
1512C2×#121—172no—
1513C2×#121—172no—
1514C2×#121—172no—
1515C2×#121—172no—
1516C2×#121—172no—
1517C2×#121—172no—
1518C2×#121—174no—
1519C2×#121—174no—
1520C2×#121—174no—
1521C2×#121—171no—
1522C2×#121—172no—
1523C2×#121C2×D1711yescharacteristic, complemented
1524C2×#120—174no—
1525C2×#120—174no—
1526#518—172no—
1527#518—174no—
1528#518—174no—
1529#518—174no—
1530#518—174no—
1531#518—174no—
1532#518—172no—
1533#518—172no—
1534#518—174no—
1535#518C2×D1712yescomplemented
1536C2×C4×Q8—172no—
1537C2×C4×D4—171no—
1538C2×C4×D4—171no—
1539C2×C4×D4—171no—
1540C2×C4×D4—172no—
1541C2×C4×D4—172no—
1542C2×C4×D4—172no—
1543C2×C4×D4—172no—
1544C2×C4×D4—172no—
1545C2×C4×D4—172no—
1546C2×C4×D4—172no—
1547C2×C4×D4—172no—
1548C2×C4×D4—174no—
1549C2×C4×D4—174no—
1550C2×C4×D4—174no—
1551C2×C4×D4—174no—
1552C2×C4×D4—174no—
1553C2×C4×D4—172no—
1554C2×C4×D4—171no—
1555C2×C4×D4—171no—
1556C2×C4×D4—171no—
1557C2×C4×D4—171no—
1558C2×C4×D4C2×D1711yescharacteristic, complemented
1559C2×#117—174no—
1560C2×#117—172no—
1561C2×#117—174no—
1562C22×C4⋊C4—171no—
1563C22×C4⋊C4—171no—
1564C22×C4⋊C4—171no—
1565C22×C4⋊C4—172no—
1566C22×C22⋊C4—171no—
1567C22×C22⋊C4—172no—
1568C22×C22⋊C4—171no—
1569C22×C22⋊C4—174no—
1570C22×C22⋊C4—172no—
1571C22×C42—171no—
1572C2×C17—22no—
1573C2×C17—22no—
1574C2×C17—22no—
1575C2×C17—42no—
1576C2×C17—44no—
1577C2×C17C23×#4111yescharacteristic
1578C2×C17C22×H(5,𝔽2)11yescharacteristic
1579C2×C17C2×#58511yescharacteristic
1580D17—22no—
1581D17—22no—
1582D17—22no—
1583D17—42no—
1584D17—44no—
1585D17#350514yesdirect product factor
1586C25—171no—
1587C25—172no—
1588C25—171no—
1589C2×#41—172no—
1590C2×#41—174no—
1591C2×#41—172no—
1592C2×#41—174no—
1593C2×#41—172no—
1594C2×#41—688no—
1595C2×#41C22×D1712yescomplemented
1596C22×Q8—172no—
1597C22×Q8—172no—
1598C22×Q8—172no—
1599C22×Q8—172no—
1600C22×Q8—172no—
1601C22×Q8—171no—
1602C22×Q8—684no—
1603C22×Q8C22×D1711yescharacteristic, complemented
1604C22×D4—171no—
1605C22×D4—171no—
1606C22×D4—172no—
1607C22×D4—172no—
1608C22×D4—172no—
1609C22×D4—172no—
1610C22×D4—174no—
1611C22×D4—172no—
1612C22×D4—174no—
1613C22×D4—172no—
1614C22×D4—172no—
1615C22×D4—172no—
1616C22×D4—174no—
1617C22×D4—174no—
1618C22×D4—174no—
1619C22×D4—174no—
1620C22×D4—172no—
1621C22×D4—172no—
1622C22×D4—172no—
1623C22×D4—171no—
1624C22×D4—172no—
1625C22×D4—171no—
1626C22×D4—348no—
1627C22×D4—3416no—
1628C22×D4—684no—
1629C22×D4C22×D1711yescharacteristic
1630C22×D4C22×D1712yes—
1631C22×D4C22×D1711yescharacteristic, complemented
1632C23×C4—171no—
1633C23×C4—171no—
1634C23×C4—172no—
1635C23×C4—171no—
1636C23×C4—171no—
1637C23×C4—171no—
1638C23×C4—172no—
1639C23×C4—171no—
1640C23×C4—171no—
1641C23×C4—171no—
1642C23×C4—172no—
1643C23×C4—171no—
1644C23×C4—172no—
1645C23×C4—171no—
1646C23×C4—174no—
1647C23×C4—174no—
1648C23×C4—171no—
1649C23×C4—172no—
1650C23×C4—171no—
1651C23×C4—171no—
1652C23×C4—171no—
1653C23×C4—171no—
1654C23×C4—171no—
1655C23×C4—171no—
1656C23×C4—171no—
1657C23×C4—172no—
1658C23×C4—171no—
1659C23×C4—172no—
1660C23×C4—684no—
1661C23×C4—684no—
1662C23×C4C22×D1711yescharacteristic
1663C23×C4C22×D1711yescharacteristic, complemented
1664#126—174no—
1665#126—174no—
1666#126—174no—
1667#126—174no—
1668#126—174no—
1669#126—174no—
1670#126—174no—
1671#126—174no—
1672#126—174no—
1673#126—174no—
1674#126—174no—
1675#126—174no—
1676#126—174no—
1677#126—174no—
1678#126—174no—
1679#126—174no—
1680#126—174no—
1681#126—174no—
1682#126—174no—
1683#126—174no—
1684#126—174no—
1685#126C22×D1714yescomplemented
1686#126C22×D1714yescomplemented
1687#126C22×D1714yescomplemented
1688#125—174no—
1689#125—174no—
1690#125—172no—
1691#125—172no—
1692#125—174no—
1693#125—174no—
1694#125—174no—
1695#125—174no—
1696#125—174no—
1697#125—174no—
1698#125—172no—
1699#125—174no—
1700#125C22×D1712yescomplemented
1701#125C22×D1714yescomplemented
1702#124—172no—
1703#124—174no—
1704#124—172no—
1705#124—174no—
1706#124—174no—
1707#124—174no—
1708#124—174no—
1709#124—174no—
1710#124—174no—
1711#124—174no—
1712#124—172no—
1713#124—174no—
1714#124C22×D1712yescomplemented
1715#124C22×D1714yescomplemented
1716#123—174no—
1717#123—174no—
1718#123—174no—
1719#123—174no—
1720#123—174no—
1721#123—174no—
1722#123—174no—
1723#123—174no—
1724#123—174no—
1725#123—174no—
1726#123—174no—
1727#123—174no—
1728#123—174no—
1729#123—174no—
1730#123—174no—
1731#123—174no—
1732#123—174no—
1733#123—174no—
1734#123—174no—
1735#123—174no—
1736#123—174no—
1737#123—174no—
1738#123—174no—
1739#123—174no—
1740#123—174no—
1741#123—174no—
1742#123—174no—
1743#123—174no—
1744#123—174no—
1745#123—174no—
1746#123—174no—
1747#123—174no—
1748#123—174no—
1749#123—174no—
1750#123—174no—
1751#123C22×D1714yes—
1752#123C22×D1714yescomplemented
1753#123C22×D1714yescomplemented
1754#123C22×D1714yescomplemented
1755#123C22×D1714yescomplemented
1756C22⋊Q8—172no—
1757C22⋊Q8—172no—
1758C22⋊Q8—172no—
1759C22⋊Q8—172no—
1760C22⋊Q8—172no—
1761C22⋊Q8—174no—
1762C22⋊Q8—172no—
1763C22⋊Q8—172no—
1764C22⋊Q8—172no—
1765C22⋊Q8—172no—
1766C22⋊Q8—172no—
1767C22⋊Q8—174no—
1768C22⋊Q8—174no—
1769C22⋊Q8—172no—
1770C22⋊Q8—174no—
1771C22⋊Q8—172no—
1772C22⋊Q8—174no—
1773C22⋊Q8—172no—
1774C22⋊Q8—174no—
1775C22⋊Q8—172no—
1776C22⋊Q8—174no—
1777C22⋊Q8—172no—
1778C22⋊Q8—174no—
1779C22⋊Q8—174no—
1780C22⋊Q8—174no—
1781C22⋊Q8—174no—
1782C22⋊Q8—174no—
1783C22⋊Q8—174no—
1784C22⋊Q8—174no—
1785C22⋊Q8—174no—
1786C22⋊Q8—174no—
1787C22⋊Q8—174no—
1788C22⋊Q8C22×D1712yescomplemented
1789C22⋊Q8C22×D1712yescomplemented
1790C22⋊Q8C22×D1712yescomplemented
1791C22⋊Q8C22×D1712yescomplemented
1792C22⋊Q8C22×D1712yescomplemented
1793C22⋊Q8C22×D1714yescomplemented
1794#121—172no—
1795#121—174no—
1796#121—172no—
1797#121—174no—
1798#121—172no—
1799#121—174no—
1800#121—172no—
1801#121—174no—
1802#121—172no—
1803#121—174no—
1804#121—174no—
1805#121—174no—
1806#121—174no—
1807#121—174no—
1808#121—174no—
1809#121—174no—
1810#121—174no—
1811#121—174no—
1812#121—174no—
1813#121—172no—
1814#121—172no—
1815#121—172no—
1816#121—172no—
1817#121—172no—
1818#121—174no—
1819#121—174no—
1820#121—174no—
1821#121—172no—
1822#121—172no—
1823#121—172no—
1824#121—172no—
1825#121—172no—
1826#121—174no—
1827#121—174no—
1828#121—174no—
1829#121—174no—
1830#121—174no—
1831#121—174no—
1832#121—174no—
1833#121—174no—
1834#121—174no—
1835#121—174no—
1836#121—174no—
1837#121—174no—
1838#121—174no—
1839#121—174no—
1840#121C22×D1712yes—
1841#121C22×D1712yes—
1842#121C22×D1712yescomplemented
1843#121C22×D1712yescomplemented
1844#121C22×D1712yescomplemented
1845#121C22×D1714yescomplemented
1846#121C22×D1714yescomplemented
1847#121C22×D1714yescomplemented
1848#120—174no—
1849#120—174no—
1850#120—174no—
1851#120—174no—
1852#120—174no—
1853#120—174no—
1854#120—174no—
1855#120—174no—
1856#120—174no—
1857#120—174no—
1858#120—174no—
1859#120—174no—
1860#120—174no—
1861#120—174no—
1862#120C22×D1714yes—
1863#120C22×D1714yescomplemented
1864C4×Q8—172no—
1865C4×Q8—174no—
1866C4×Q8—172no—
1867C4×Q8—174no—
1868C4×Q8—172no—
1869C4×Q8C22×D1712yescomplemented
1870C4×D4—172no—
1871C4×D4—172no—
1872C4×D4—172no—
1873C4×D4—172no—
1874C4×D4—174no—
1875C4×D4—174no—
1876C4×D4—174no—
1877C4×D4—174no—
1878C4×D4—174no—
1879C4×D4—172no—
1880C4×D4—172no—
1881C4×D4—172no—
1882C4×D4—172no—
1883C4×D4—172no—
1884C4×D4—172no—
1885C4×D4—172no—
1886C4×D4—172no—
1887C4×D4—172no—
1888C4×D4—174no—
1889C4×D4—174no—
1890C4×D4—174no—
1891C4×D4—174no—
1892C4×D4—174no—
1893C4×D4—174no—
1894C4×D4—174no—
1895C4×D4—174no—
1896C4×D4—174no—
1897C4×D4—174no—
1898C4×D4—174no—
1899C4×D4—172no—
1900C4×D4—172no—
1901C4×D4—172no—
1902C4×D4—172no—
1903C4×D4—174no—
1904C4×D4—174no—
1905C4×D4—174no—
1906C4×D4—174no—
1907C4×D4—174no—
1908C4×D4—172no—
1909C4×D4—172no—
1910C4×D4—172no—
1911C4×D4—172no—
1912C4×D4—172no—
1913C4×D4—172no—
1914C4×D4—172no—
1915C4×D4—172no—
1916C4×D4—172no—
1917C4×D4—174no—
1918C4×D4—174no—
1919C4×D4—174no—
1920C4×D4—174no—
1921C4×D4—174no—
1922C4×D4—174no—
1923C4×D4—174no—
1924C4×D4—174no—
1925C4×D4—174no—
1926C4×D4—174no—
1927C4×D4—174no—
1928C4×D4—172no—
1929C4×D4—172no—
1930C4×D4—172no—
1931C4×D4—172no—
1932C4×D4—174no—
1933C4×D4—174no—
1934C4×D4—174no—
1935C4×D4—174no—
1936C4×D4—174no—
1937C4×D4—172no—
1938C4×D4C22×D1712yes—
1939C4×D4C22×D1712yes—
1940C4×D4C22×D1712yescomplemented
1941C4×D4C22×D1712yescomplemented
1942C4×D4C22×D1714yescomplemented
1943C4×D4C22×D1714yescomplemented
1944C4×D4C22×D1714yescomplemented
1945C4×D4C22×D1714yescomplemented
1946C4×D4C22×D1714yescomplemented
1947C4×D4C22×D1712yescomplemented
1948#117—174no—
1949#117—172no—
1950#117—174no—
1951#117—174no—
1952#117—174no—
1953#117—172no—
1954#117—172no—
1955#117—174no—
1956#117—174no—
1957#117—174no—
1958#117—174no—
1959#117—174no—
1960#117—174no—
1961#117—174no—
1962#117—174no—
1963#117—174no—
1964#117—174no—
1965#117—174no—
1966#117—174no—
1967#117C22×D1714yescomplemented
1968#117C22×D1712yescomplemented
1969#117C22×D1714yescomplemented
1970C2×C4⋊C4—171no—
1971C2×C4⋊C4—171no—
1972C2×C4⋊C4—171no—
1973C2×C4⋊C4—172no—
1974C2×C4⋊C4—171no—
1975C2×C4⋊C4—172no—
1976C2×C4⋊C4—172no—
1977C2×C4⋊C4—172no—
1978C2×C4⋊C4—171no—
1979C2×C4⋊C4—172no—
1980C2×C4⋊C4—172no—
1981C2×C4⋊C4—174no—
1982C2×C4⋊C4—172no—
1983C2×C4⋊C4—172no—
1984C2×C4⋊C4—172no—
1985C2×C4⋊C4—172no—
1986C2×C4⋊C4—172no—
1987C2×C4⋊C4—172no—
1988C2×C4⋊C4—172no—
1989C2×C4⋊C4—172no—
1990C2×C4⋊C4—174no—
1991C2×C4⋊C4—172no—
1992C2×C4⋊C4—172no—
1993C2×C4⋊C4—172no—
1994C2×C4⋊C4—174no—
1995C2×C4⋊C4—174no—
1996C2×C4⋊C4—174no—
1997C2×C4⋊C4—174no—
1998C2×C4⋊C4—174no—
1999C2×C4⋊C4—174no—
2000C2×C4⋊C4C22×D1711yescharacteristic, complemented
2001C2×C4⋊C4C22×D1711yescharacteristic, complemented
2002C2×C4⋊C4C22×D1711yescharacteristic, complemented
2003C2×C4⋊C4C22×D1712yescomplemented
2004C2×C22⋊C4—171no—
2005C2×C22⋊C4—171no—
2006C2×C22⋊C4—172no—
2007C2×C22⋊C4—174no—
2008C2×C22⋊C4—172no—
2009C2×C22⋊C4—171no—
2010C2×C22⋊C4—171no—
2011C2×C22⋊C4—171no—
2012C2×C22⋊C4—171no—
2013C2×C22⋊C4—172no—
2014C2×C22⋊C4—172no—
2015C2×C22⋊C4—174no—
2016C2×C22⋊C4—174no—
2017C2×C22⋊C4—172no—
2018C2×C22⋊C4—172no—
2019C2×C22⋊C4—172no—
2020C2×C22⋊C4—174no—
2021C2×C22⋊C4—174no—
2022C2×C22⋊C4—172no—
2023C2×C22⋊C4—172no—
2024C2×C22⋊C4—172no—
2025C2×C22⋊C4—174no—
2026C2×C22⋊C4—172no—
2027C2×C22⋊C4—174no—
2028C2×C22⋊C4—174no—
2029C2×C22⋊C4—172no—
2030C2×C22⋊C4—172no—
2031C2×C22⋊C4—172no—
2032C2×C22⋊C4—174no—
2033C2×C22⋊C4—174no—
2034C2×C22⋊C4—174no—
2035C2×C22⋊C4—174no—
2036C2×C22⋊C4—174no—
2037C2×C22⋊C4—174no—
2038C2×C22⋊C4—174no—
2039C2×C22⋊C4—174no—
2040C2×C22⋊C4—174no—
2041C2×C22⋊C4—174no—
2042C2×C22⋊C4—174no—
2043C2×C22⋊C4—174no—
2044C2×C22⋊C4—174no—
2045C2×C22⋊C4C22×D1711yescharacteristic
2046C2×C22⋊C4C22×D1712yes—
2047C2×C22⋊C4C22×D1711yescharacteristic, complemented
2048C2×C22⋊C4C22×D1714yescomplemented
2049C2×C22⋊C4C22×D1712yescomplemented
2050C2×C42—171no—
2051C2×C42—171no—
2052C2×C42—171no—
2053C2×C42—174no—
2054C2×C42—174no—
2055C2×C42—172no—
2056C2×C42—172no—
2057C2×C42—172no—
2058C2×C42—172no—
2059C2×C42C22×D1711yescharacteristic, complemented
2060C17C2×#350511yescharacteristic, complemented, Sylow
2061C24—171no—
2062C24—171no—
2063C24—171no—
2064C24—178no—
2065C24—171no—
2066C24—171no—
2067C24—171no—
2068C24—172no—
2069C24—174no—
2070C24—174no—
2071C24—172no—
2072C24—172no—
2073C24—171no—
2074C24—344no—
2075C24—348no—
2076C24—682no—
2077C24—682no—
2078C24—682no—
2079C24—682no—
2080C24—684no—
2081C24—684no—
2082C24C23×D1712yes—
2083C24C23×D1711yescharacteristic
2084C24C23×D1711yescharacteristic
2085#41—44no—
2086#41—684no—
2087#41—688no—
2088#41—684no—
2089#41—688no—
2090#41—684no—
2091C2×Q8—42no—
2092C2×Q8—174no—
2093C2×Q8—172no—
2094C2×Q8—172no—
2095C2×Q8—174no—
2096C2×Q8—348no—
2097C2×Q8—682no—
2098C2×Q8—684no—
2099C2×Q8—684no—
2100C2×Q8—684no—
2101C2×Q8—684no—
2102C2×Q8C23×D1712yes—
2103C2×Q8C23×D1712yes—
2104C2×D4—24no—
2105C2×D4—28no—
2106C2×D4—42no—
2107C2×D4—172no—
2108C2×D4—172no—
2109C2×D4—174no—
2110C2×D4—174no—
2111C2×D4—172no—
2112C2×D4—174no—
2113C2×D4—172no—
2114C2×D4—174no—
2115C2×D4—174no—
2116C2×D4—174no—
2117C2×D4—174no—
2118C2×D4—174no—
2119C2×D4—174no—
2120C2×D4—174no—
2121C2×D4—172no—
2122C2×D4—174no—
2123C2×D4—172no—
2124C2×D4—174no—
2125C2×D4—172no—
2126C2×D4—174no—
2127C2×D4—174no—
2128C2×D4—172no—
2129C2×D4—344no—
2130C2×D4—348no—
2131C2×D4—348no—
2132C2×D4—348no—
2133C2×D4—3416no—
2134C2×D4—348no—
2135C2×D4—3416no—
2136C2×D4—348no—
2137C2×D4—348no—
2138C2×D4—3416no—
2139C2×D4—3416no—
2140C2×D4—344no—
2141C2×D4—348no—
2142C2×D4—344no—
2143C2×D4—348no—
2144C2×D4—682no—
2145C2×D4—684no—
2146C2×D4—684no—
2147C2×D4—688no—
2148C2×D4—684no—
2149C2×D4—688no—
2150C2×D4—684no—
2151C2×D4C23×D1712yes—
2152C2×D4C23×D1714yes—
2153C2×D4C23×D1712yes—
2154C2×D4C23×D1714yes—
2155C2×D4C23×D1712yes—
2156C2×D4C23×D1714yes—
2157C2×D4C23×D1714yes—
2158C2×D4C23×D1712yes—
2159C22×C4—42no—
2160C22×C4—42no—
2161C22×C4—171no—
2162C22×C4—171no—
2163C22×C4—171no—
2164C22×C4—172no—
2165C22×C4—171no—
2166C22×C4—171no—
2167C22×C4—172no—
2168C22×C4—171no—
2169C22×C4—171no—
2170C22×C4—172no—
2171C22×C4—171no—
2172C22×C4—172no—
2173C22×C4—171no—
2174C22×C4—174no—
2175C22×C4—174no—
2176C22×C4—171no—
2177C22×C4—172no—
2178C22×C4—172no—
2179C22×C4—174no—
2180C22×C4—172no—
2181C22×C4—172no—
2182C22×C4—171no—
2183C22×C4—172no—
2184C22×C4—171no—
2185C22×C4—171no—
2186C22×C4—174no—
2187C22×C4—174no—
2188C22×C4—171no—
2189C22×C4—171no—
2190C22×C4—174no—
2191C22×C4—171no—
2192C22×C4—171no—
2193C22×C4—171no—
2194C22×C4—171no—
2195C22×C4—172no—
2196C22×C4—172no—
2197C22×C4—172no—
2198C22×C4—171no—
2199C22×C4—171no—
2200C22×C4—174no—
2201C22×C4—172no—
2202C22×C4—174no—
2203C22×C4—171no—
2204C22×C4—171no—
2205C22×C4—174no—
2206C22×C4—174no—
2207C22×C4—174no—
2208C22×C4—174no—
2209C22×C4—171no—
2210C22×C4—171no—
2211C22×C4—172no—
2212C22×C4—172no—
2213C22×C4—344no—
2214C22×C4—344no—
2215C22×C4—344no—
2216C22×C4—348no—
2217C22×C4—348no—
2218C22×C4—344no—
2219C22×C4—682no—
2220C22×C4—682no—
2221C22×C4—682no—
2222C22×C4—682no—
2223C22×C4—684no—
2224C22×C4—682no—
2225C22×C4—682no—
2226C22×C4—684no—
2227C22×C4—682no—
2228C22×C4—682no—
2229C22×C4—682no—
2230C22×C4—688no—
2231C22×C4—684no—
2232C22×C4—682no—
2233C22×C4—684no—
2234C22×C4—682no—
2235C22×C4—682no—
2236C22×C4—682no—
2237C22×C4—684no—
2238C22×C4—688no—
2239C22×C4—682no—
2240C22×C4—682no—
2241C22×C4C23×D1711yescharacteristic
2242C22×C4C23×D1711yescharacteristic
2243C22×C4C23×D1712yes—
2244C22×C4C23×D1711yescharacteristic
2245C22×C4C23×D1711yescharacteristic
2246C22×C4C23×D1712yes—
2247C22×C4C23×D1711yescharacteristic
2248C22×C4C23×D1711yescharacteristic
2249C22×C4C23×D1712yes—
2250C22×C4C23×D1711yescharacteristic
2251C22×C4C23×D1712yes—
2252C22×C4C23×D1711yescharacteristic
2253C22×C4C23×D1714yes—
2254C22×C4C23×D1714yes—
2255C22×C4C23×D1711yescharacteristic
2256C22×C4C23×D1712yes—
2257C4⋊C4—174no—
2258C4⋊C4—172no—
2259C4⋊C4—174no—
2260C4⋊C4—174no—
2261C4⋊C4—174no—
2262C4⋊C4—174no—
2263C4⋊C4—172no—
2264C4⋊C4—172no—
2265C4⋊C4—172no—
2266C4⋊C4—172no—
2267C4⋊C4—172no—
2268C4⋊C4—172no—
2269C4⋊C4—172no—
2270C4⋊C4—174no—
2271C4⋊C4—172no—
2272C4⋊C4—174no—
2273C4⋊C4—174no—
2274C4⋊C4—174no—
2275C4⋊C4—174no—
2276C4⋊C4—172no—
2277C4⋊C4—174no—
2278C4⋊C4—174no—
2279C4⋊C4—174no—
2280C4⋊C4—174no—
2281C4⋊C4—174no—
2282C4⋊C4—174no—
2283C4⋊C4—174no—
2284C4⋊C4—174no—
2285C4⋊C4—174no—
2286C4⋊C4—174no—
2287C4⋊C4—174no—
2288C4⋊C4—174no—
2289C4⋊C4C23×D1712yes—
2290C4⋊C4C23×D1714yes—
2291C4⋊C4C23×D1712yes—
2292C4⋊C4C23×D1712yes—
2293C4⋊C4C23×D1712yes—
2294C4⋊C4C23×D1712yes—
2295C4⋊C4C23×D1714yes—
2296C4⋊C4C23×D1712yes—
2297C4⋊C4C23×D1714yes—
2298C4⋊C4C23×D1714yes—
2299C4⋊C4C23×D1714yes—
2300C4⋊C4C23×D1714yes—
2301C22⋊C4—172no—
2302C22⋊C4—174no—
2303C22⋊C4—174no—
2304C22⋊C4—172no—
2305C22⋊C4—174no—
2306C22⋊C4—172no—
2307C22⋊C4—174no—
2308C22⋊C4—174no—
2309C22⋊C4—172no—
2310C22⋊C4—174no—
2311C22⋊C4—174no—
2312C22⋊C4—174no—
2313C22⋊C4—174no—
2314C22⋊C4—174no—
2315C22⋊C4—172no—
2316C22⋊C4—172no—
2317C22⋊C4—174no—
2318C22⋊C4—174no—
2319C22⋊C4—174no—
2320C22⋊C4—174no—
2321C22⋊C4—172no—
2322C22⋊C4—172no—
2323C22⋊C4—174no—
2324C22⋊C4—174no—
2325C22⋊C4—172no—
2326C22⋊C4—172no—
2327C22⋊C4—174no—
2328C22⋊C4—174no—
2329C22⋊C4—174no—
2330C22⋊C4—174no—
2331C22⋊C4—172no—
2332C22⋊C4—172no—
2333C22⋊C4—174no—
2334C22⋊C4—174no—
2335C22⋊C4—174no—
2336C22⋊C4—174no—
2337C22⋊C4—174no—
2338C22⋊C4—174no—
2339C22⋊C4—174no—
2340C22⋊C4—174no—
2341C22⋊C4—174no—
2342C22⋊C4—174no—
2343C22⋊C4C23×D1712yes—
2344C22⋊C4C23×D1714yes—
2345C22⋊C4C23×D1712yes—
2346C22⋊C4C23×D1714yes—
2347C22⋊C4C23×D1714yes—
2348C22⋊C4C23×D1712yes—
2349C22⋊C4C23×D1712yes—
2350C22⋊C4C23×D1714yes—
2351C22⋊C4C23×D1714yes—
2352C22⋊C4C23×D1714yes—
2353C22⋊C4C23×D1714yes—
2354C22⋊C4C23×D1714yes—
2355C22⋊C4C23×D1714yes—
2356C22⋊C4C23×D1714yes—
2357C42—172no—
2358C42—172no—
2359C42—172no—
2360C42—172no—
2361C42—172no—
2362C42—172no—
2363C42—174no—
2364C42—174no—
2365C42—174no—
2366C42—174no—
2367C42—174no—
2368C42—174no—
2369C42C23×D1712yes—
2370C42C23×D1712yes—
2371C42C23×D1714yes—
2372C42C23×D1714yes—
2373C23—22no—
2374C23—24no—
2375C23—41no—
2376C23—41no—
2377C23—41no—
2378C23—41no—
2379C23—42no—
2380C23—42no—
2381C23—171no—
2382C23—174no—
2383C23—174no—
2384C23—174no—
2385C23—171no—
2386C23—171no—
2387C23—171no—
2388C23—174no—
2389C23—174no—
2390C23—174no—
2391C23—172no—
2392C23—174no—
2393C23—342no—
2394C23—342no—
2395C23—342no—
2396C23—342no—
2397C23—342no—
2398C23—342no—
2399C23—344no—
2400C23—348no—
2401C23—348no—
2402C23—344no—
2403C23—348no—
2404C23—344no—
2405C23—344no—
2406C23—348no—
2407C23—342no—
2408C23—344no—
2409C23—681no—
2410C23—681no—
2411C23—681no—
2412C23—681no—
2413C23—682no—
2414C23—681no—
2415C23—681no—
2416C23—681no—
2417C23—681no—
2418C23—682no—
2419C23—682no—
2420C23—684no—
2421C23—682no—
2422C23—684no—
2423C23—6816no—
2424C23—6816no—
2425C23—13616no—
2426C23#41×D1714yescomplemented
2427C23C24×D1712yes—
2428C23C24×D1714yes—
2429C23C24×D1711yescharacteristic
2430C23C24×D1711yescharacteristic
2431C23C24×D1711yescharacteristic
2432Q8—24no—
2433Q8—42no—
2434Q8—348no—
2435Q8—344no—
2436Q8—682no—
2437Q8—684no—
2438D4—24no—
2439D4—28no—
2440D4—24no—
2441D4—28no—
2442D4—24no—
2443D4—42no—
2444D4—44no—
2445D4—44no—
2446D4—344no—
2447D4—348no—
2448D4—344no—
2449D4—348no—
2450D4—348no—
2451D4—344no—
2452D4—348no—
2453D4—344no—
2454D4—348no—
2455D4—344no—
2456D4—348no—
2457D4—344no—
2458D4—348no—
2459D4—344no—
2460D4—682no—
2461D4—684no—
2462D4—684no—
2463D4—684no—
2464D4—684no—
2465D4—684no—
2466D4—684no—
2467D4—684no—
2468C2×C4—24no—
2469C2×C4—22no—
2470C2×C4—22no—
2471C2×C4—22no—
2472C2×C4—22no—
2473C2×C4—24no—
2474C2×C4—41no—
2475C2×C4—42no—
2476C2×C4—41no—
2477C2×C4—41no—
2478C2×C4—41no—
2479C2×C4—42no—
2480C2×C4—44no—
2481C2×C4—41no—
2482C2×C4—44no—
2483C2×C4—42no—
2484C2×C4—171no—
2485C2×C4—174no—
2486C2×C4—172no—
2487C2×C4—172no—
2488C2×C4—174no—
2489C2×C4—171no—
2490C2×C4—172no—
2491C2×C4—174no—
2492C2×C4—174no—
2493C2×C4—171no—
2494C2×C4—171no—
2495C2×C4—342no—
2496C2×C4—342no—
2497C2×C4—342no—
2498C2×C4—344no—
2499C2×C4—342no—
2500C2×C4—344no—
2501C2×C4—342no—
2502C2×C4—342no—
2503C2×C4—348no—
2504C2×C4—344no—
2505C2×C4—348no—
2506C2×C4—344no—
2507C2×C4—344no—
2508C2×C4—348no—
2509C2×C4—348no—
2510C2×C4—342no—
2511C2×C4—342no—
2512C2×C4—342no—
2513C2×C4—344no—
2514C2×C4—344no—
2515C2×C4—342no—
2516C2×C4—342no—
2517C2×C4—342no—
2518C2×C4—342no—
2519C2×C4—344no—
2520C2×C4—682no—
2521C2×C4—682no—
2522C2×C4—682no—
2523C2×C4—681no—
2524C2×C4—681no—
2525C2×C4—681no—
2526C2×C4—681no—
2527C2×C4—681no—
2528C2×C4—681no—
2529C2×C4—684no—
2530C2×C4—684no—
2531C2×C4—684no—
2532C2×C4—682no—
2533C2×C4—684no—
2534C2×C4—684no—
2535C2×C4—684no—
2536C2×C4—681no—
2537C2×C4—682no—
2538C2×C4—681no—
2539C2×C4—681no—
2540C2×C4—681no—
2541C2×C4—682no—
2542C2×C4—684no—
2543C2×C4—681no—
2544C2×C4—684no—
2545C2×C4—682no—
2546C2×C4C24×D1712yes—
2547C2×C4C24×D1712yes—
2548C2×C4C24×D1714yes—
2549C2×C4C24×D1711yescharacteristic
2550C2×C4C24×D1712yes—
2551C2×C4C24×D1714yes—
2552C2×C4C24×D1714yes—
2553C2×C4C24×D1711yescharacteristic
2554C2×C4C24×D1711yescharacteristic
2555C2×C4C24×D1711yescharacteristic
2556C22—21no—
2557C22—21no—
2558C22—21no—
2559C22—21no—
2560C22—21no—
2561C22—21no—
2562C22—22no—
2563C22—24no—
2564C22—22no—
2565C22—24no—
2566C22—24no—
2567C22—22no—
2568C22—44no—
2569C22—44no—
2570C22—84no—
2571C22—172no—
2572C22—172no—
2573C22—172no—
2574C22—172no—
2575C22—172no—
2576C22—172no—
2577C22—348no—
2578C22—348no—
2579C22—348no—
2580C22—341no—
2581C22—341no—
2582C22—341no—
2583C22—341no—
2584C22—341no—
2585C22—341no—
2586C22—342no—
2587C22—344no—
2588C22—342no—
2589C22—344no—
2590C22—344no—
2591C22—342no—
2592C22—684no—
2593C22—684no—
2594C22—684no—
2595C22—684no—
2596C22—688no—
2597C22—6816no—
2598C22—688no—
2599C22—1364no—
2600C22—1368no—
2601C22C2×#41×D1712yes—
2602C22C2×#41×D1712yes—
2603C22C2×#41×D1712yes—
2604C22C25×D1711yescharacteristic
2605C4—24no—
2606C4—22no—
2607C4—21no—
2608C4—22no—
2609C4—21no—
2610C4—21no—
2611C4—24no—
2612C4—22no—
2613C4—24no—
2614C4—172no—
2615C4—342no—
2616C4—344no—
2617C4—341no—
2618C4—342no—
2619C4—341no—
2620C4—341no—
2621C4—344no—
2622C4—342no—
2623C4—344no—
2624C4H(5,𝔽2)×D1712yes—
2625C2—22no—
2626C2—22no—
2627C2—22no—
2628C2—42no—
2629C2—44no—
2630C2—174no—
2631C2—342no—
2632C2—342no—
2633C2—342no—
2634C2—682no—
2635C2—684no—
2636C2C22×#41×D1711yescharacteristic
2637C2C2×H(5,𝔽2)×D1711yescharacteristic
2638C2D17×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3505C2
hypercenter#3505D17
hypocenterC17C2×#3505
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3505

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #14542625C2semidirect
2. #14542624C2semidirect
3. #14542623C2semidirect
4. #14542622C2semidirect
5. #14542621C2semidirect
6. #14542620C2semidirect
7. #14542619C2semidirect
8. #14542618C2semidirect
9. #14542617C2semidirect
10. #14542616C2semidirect
11. #14542615C2semidirect
12. #14542614C2semidirect
13. #14542613C2semidirect
14. #14542612C2semidirect
15. #14542611C2semidirect
16. D17×#553C2semidirect
17. D17×#553C2semidirect
18. D17×#552C2semidirect
19. D17×#551C2semidirect
20. D17×#548C2semidirect
21. D17×#546C2semidirect
22. D17×#539C2semidirect
23. D17×#538C2semidirect
24. D17×#534C2semidirect
25. D17×#529C2semidirect
26. D17×#525C2semidirect
27. C2×C22⋊Q8×D17C2semidirect
28. C2×#121×D17C2semidirect
29. D17×#518C2semidirect
30. C2×C4×D4×D17C2semidirect
31. C17×#3505C2semidirect
32. C2×#41×D17C22semidirect
33. C22×Q8×D17C22semidirect
36. C22×D4×D17C22semidirect
38. C23×C4×D17C22semidirect
39. #11763512C22semidirect
40. #11763512C22semidirect
41. #11763511C22semidirect
42. #11763511C22semidirect
43. #11763510C22semidirect
44. #11763510C22semidirect
45. #11763510C22semidirect
46. #11763509C22semidirect
47. #11763509C22semidirect
48. #11763508C22semidirect
49. #11763508C22semidirect
50. #11763508C22semidirect
51. #11763507C22semidirect
52. #11763507C22semidirect
53. #11763506C22semidirect
54. #11763506C22semidirect
55. #11763505C22semidirect
56. #11763505C22semidirect
57. #11763504C22semidirect
58. #11763504C22semidirect
59. #11763504C22semidirect
60. #11763503C22semidirect
61. #11763503C22semidirect
62. #11763502C22semidirect
63. #11763502C22semidirect
64. #11763502C22semidirect
65. #11763501C22semidirect
66. #11763500C22semidirect
67. #11763499C22semidirect
68. #11763498C22semidirect
69. #11763497C22semidirect
70. #11763496C22semidirect
71. #11763495C22semidirect
72. #11763494C22semidirect
73. #11763493C22semidirect
74. #11763492C22semidirect
75. #11763491C22semidirect
76. #11763490C22semidirect
77. #11763489C22semidirect
78. #11763488C22semidirect
79. #11763488C22semidirect
80. #11763487C22semidirect
81. #11763486C22semidirect
82. #11763486C22semidirect
83. #11763485C22semidirect
84. #11763485C22semidirect
85. #11763484C22semidirect
86. #11763484C22semidirect
87. #11763483C22semidirect
88. #11763483C22semidirect
89. #11763482C22semidirect
90. #11763482C22semidirect
91. #11763471C22semidirect
92. #11763470C22semidirect
93. #11763469C22semidirect
94. #11763469C22semidirect
95. #11763468C22semidirect
96. #11763468C22semidirect
97. #11763467C22semidirect
98. #11763467C22semidirect
99. #11763466C22semidirect
100. #11763465C22semidirect
101. #11763465C22semidirect
102. #11763456C22semidirect
103. #11763455C22semidirect
104. #11763454C22semidirect
105. #11763453C22semidirect
106. #11763452C22semidirect
107. #11763451C22semidirect
108. #11763450C22semidirect
109. #11763449C22semidirect
110. #11763448C22semidirect
111. #11763447C22semidirect
112. #11763446C22semidirect
113. #11763408C22semidirect
114. #11763407C22semidirect
115. #11763406C22semidirect
116. #11763405C22semidirect
117. #11763404C22semidirect
118. #11763403C22semidirect
119. #11763402C22semidirect
120. #11763401C22semidirect
121. #11763400C22semidirect
122. #11763399C22semidirect
123. #11763398C22semidirect
124. #11763397C22semidirect
125. #11763396C22semidirect
126. #11763395C22semidirect
127. #11763394C22semidirect
128. #11763393C22semidirect
129. #11763392C22semidirect
130. #11763391C22semidirect
131. #11763371C22semidirect
132. #11763370C22semidirect
133. #11763370C22semidirect
134. #11763369C22semidirect
135. #11763369C22semidirect
136. #11763368C22semidirect
137. #11763368C22semidirect
138. #11763367C22semidirect
139. #11763367C22semidirect
140. #11763346C22semidirect
141. #11763345C22semidirect
142. #11763344C22semidirect
143. #11763343C22semidirect
144. #11763342C22semidirect
145. #11763341C22semidirect
146. #11763340C22semidirect
147. #11763339C22semidirect
148. #11763338C22semidirect
149. #11763337C22semidirect
150. #11763336C22semidirect
151. #126×D17C22semidirect
152. #126×D17C22semidirect
153. #126×D17C22semidirect
154. #125×D17C22semidirect
155. #125×D17C22semidirect
156. #124×D17C22semidirect
157. #124×D17C22semidirect
158. #11763322C22semidirect
159. #11763322C22semidirect
160. #11763321C22semidirect
161. #11763320C22semidirect
162. #11763319C22semidirect
163. #11763319C22semidirect
164. #11763318C22semidirect
165. #11763318C22semidirect
166. #11763317C22semidirect
167. #11763316C22semidirect
168. #11763315C22semidirect
170. #123×D17C22semidirect
171. #123×D17C22semidirect
172. #123×D17C22semidirect
173. #123×D17C22semidirect
174. C2×#10587583C22semidirect
175. C2×#10587610C22semidirect
176. C2×#10587582C22semidirect
177. C2×#10587564C22semidirect
178. C2×#10587632C22semidirect
179. C22⋊Q8×D17C22semidirect
180. C22⋊Q8×D17C22semidirect
181. C22⋊Q8×D17C22semidirect
182. C22⋊Q8×D17C22semidirect
183. C22⋊Q8×D17C22semidirect
184. C22⋊Q8×D17C22semidirect
185. C22⋊Q8×D17C22semidirect
186. C22⋊Q8×D17C22semidirect
187. C22⋊Q8×D17C22semidirect
188. C22⋊Q8×D17C22semidirect
189. C2×#10587581C22semidirect
190. C2×#10587616C22semidirect
191. C2×#10587570C22semidirect
192. C2×#10587625C22semidirect
193. C2×#10587624C22semidirect
196. #121×D17C22semidirect
197. #121×D17C22semidirect
198. #121×D17C22semidirect
199. #121×D17C22semidirect
200. #121×D17C22semidirect
201. #121×D17C22semidirect
202. #121×D17C22semidirect
203. #121×D17C22semidirect
204. #121×D17C22semidirect
205. #121×D17C22semidirect
207. #120×D17C22semidirect
208. #11763284C22semidirect
209. #11763283C22semidirect
210. #11763282C22semidirect
211. #11763282C22semidirect
212. #11763282C22semidirect
213. #11763281C22semidirect
214. #11763281C22semidirect
215. #11763281C22semidirect
216. #11763281C22semidirect
217. C4×Q8×D17C22semidirect
218. C2×C4×D68C22semidirect
219. C2×D4×Dic17C22semidirect
220. C2×#10587579C22semidirect
221. C2×C4×C22⋊D17C22semidirect
222. C2×C4×C22⋊D17C22semidirect
223. C2×#10587567C22semidirect
224. C2×#10587567C22semidirect
227. C4×D4×D17C22semidirect
228. C4×D4×D17C22semidirect
229. C4×D4×D17C22semidirect
230. C4×D4×D17C22semidirect
231. C4×D4×D17C22semidirect
232. C4×D4×D17C22semidirect
233. C4×D4×D17C22semidirect
234. C4×D4×D17C22semidirect
235. C4×D4×D17C22semidirect
236. C4×D4×D17C22semidirect
237. C4×D4×D17C22semidirect
238. C4×D4×D17C22semidirect
239. #117×D17C22semidirect
240. #117×D17C22semidirect
241. #117×D17C22semidirect
242. C2×C4⋊C4×D17C22semidirect
243. C2×C4⋊C4×D17C22semidirect
244. C2×C4⋊C4×D17C22semidirect
245. C2×C4⋊C4×D17C22semidirect
248. C2×C22⋊C4×D17C22semidirect
249. C2×C22⋊C4×D17C22semidirect
250. C2×C22⋊C4×D17C22semidirect
251. C2×C42×D17C22semidirect
252. C17×#553C22semidirect
253. C17×#553C22semidirect
254. C17×#552C22semidirect
255. C17×#551C22semidirect
256. C17×#548C22semidirect
257. C17×#546C22semidirect
258. C17×#539C22semidirect
259. C17×#538C22semidirect
260. C17×#534C22semidirect
261. C17×#529C22semidirect
262. C17×#525C22semidirect
263. C2×C17×C22⋊Q8C22semidirect
264. C2×C17×#121C22semidirect
265. C17×#518C22semidirect
266. C2×C4×D4×C17C22semidirect
270. C2×#41×C17C23semidirect
271. C22×Q8×C17C23semidirect
274. C22×D4×C17C23semidirect
276. C23×C4×C17C23semidirect
281. C22×C22⋊D17C23semidirect
283. C23×Dic17C23semidirect
285. C2×#63256C23semidirect
289. C2×Q8×D17C23semidirect
290. C2×Q8×D17C23semidirect
291. C2×#63254C23semidirect
292. C2×#63254C23semidirect
308. C2×D4×D17C23semidirect
309. C2×D4×D17C23semidirect
310. C2×#63252C23semidirect
311. C2×#63252C23semidirect
314. C22×D68C23semidirect
339. C22×C4×D17C23semidirect
340. C22×C4×D17C23semidirect
341. C22×C4×D17C23semidirect
342. C22×C4×D17C23semidirect
343. C22×Dic34C23semidirect
344. C22×Dic34C23semidirect
345. C17×#126C23semidirect
346. C17×#126C23semidirect
347. C17×#126C23semidirect
348. C17×#125C23semidirect
349. C17×#125C23semidirect
350. C17×#124C23semidirect
351. C17×#124C23semidirect
353. C17×#123C23semidirect
354. C17×#123C23semidirect
355. C17×#123C23semidirect
356. C17×#123C23semidirect
357. C17×C22⋊Q8C23semidirect
358. C17×C22⋊Q8C23semidirect
359. C17×C22⋊Q8C23semidirect
360. C17×C22⋊Q8C23semidirect
361. C17×C22⋊Q8C23semidirect
362. C17×C22⋊Q8C23semidirect
365. C17×#121C23semidirect
366. C17×#121C23semidirect
367. C17×#121C23semidirect
368. C17×#121C23semidirect
369. C17×#121C23semidirect
370. C17×#121C23semidirect
372. C17×#120C23semidirect
373. C4×Q8×C17C23semidirect
376. C4×D4×C17C23semidirect
377. C4×D4×C17C23semidirect
378. C4×D4×C17C23semidirect
379. C4×D4×C17C23semidirect
380. C4×D4×C17C23semidirect
381. C4×D4×C17C23semidirect
382. C4×D4×C17C23semidirect
383. C4×D4×C17C23semidirect
384. C17×#117C23semidirect
385. C17×#117C23semidirect
386. C17×#117C23semidirect
387. C2×C4⋊C4×C17C23semidirect
388. C2×C4⋊C4×C17C23semidirect
389. C2×C4⋊C4×C17C23semidirect
390. C2×C4⋊C4×C17C23semidirect
393. C2×C22⋊C4×C17C23semidirect
394. C2×C22⋊C4×C17C23semidirect
395. C2×C22⋊C4×C17C23semidirect
396. C2×C42×C17C23semidirect
398. #10587639C23semidirect
401. C2×C22⋊Dic17C23semidirect
402. C2×C22⋊Dic17C23semidirect
403. C2×C22⋊Dic17C23semidirect
404. #10587633C23semidirect
405. #10587633C23semidirect
406. #10587632C23semidirect
407. #10587632C23semidirect
408. #10587632C23semidirect
409. #10587632C23semidirect
410. #10587632C23semidirect
411. #10587632C23semidirect
412. Q8×Dic17C23semidirect
415. #10587625C23semidirect
416. #10587625C23semidirect
417. #10587625C23semidirect
418. #10587625C23semidirect
419. #10587625C23semidirect
420. #10587625C23semidirect
421. #10587625C23semidirect
422. #10587625C23semidirect
423. #10587625C23semidirect
426. #10587624C23semidirect
427. #10587624C23semidirect
428. #10587624C23semidirect
429. #10587624C23semidirect
430. #10587624C23semidirect
431. #10587624C23semidirect
435. #10587623C23semidirect
436. #10587623C23semidirect
437. #10587623C23semidirect
438. #10587622C23semidirect
439. #10587622C23semidirect
441. #10587621C23semidirect
442. #10587621C23semidirect
443. #10587621C23semidirect
444. #10587621C23semidirect
447. D4×Dic17C23semidirect
448. D4×Dic17C23semidirect
449. D4×Dic17C23semidirect
450. D4×Dic17C23semidirect
451. D4×Dic17C23semidirect
452. D4×Dic17C23semidirect
453. D4×Dic17C23semidirect
454. D4×Dic17C23semidirect
457. #10587616C23semidirect
458. #10587616C23semidirect
459. #10587616C23semidirect
460. #10587616C23semidirect
461. #10587616C23semidirect
462. #10587616C23semidirect
464. #10587615C23semidirect
465. #10587615C23semidirect
466. #10587615C23semidirect
467. #10587615C23semidirect
472. C4×C22⋊D17C23semidirect
473. C4×C22⋊D17C23semidirect
474. C4×C22⋊D17C23semidirect
475. C4×C22⋊D17C23semidirect
476. C4×C22⋊D17C23semidirect
477. C4×C22⋊D17C23semidirect
478. C4×C22⋊D17C23semidirect
479. C4×C22⋊D17C23semidirect
480. C4×C22⋊D17C23semidirect
481. C4×C22⋊D17C23semidirect
482. C4×C22⋊D17C23semidirect
483. C4×C22⋊D17C23semidirect
484. C4×C22⋊D17C23semidirect
485. C4×C22⋊D17C23semidirect
486. C4×C22⋊D17C23semidirect
491. C2×#63227C23semidirect
492. C2×#63227C23semidirect
493. C2×#63227C23semidirect
494. C2×#63227C23semidirect
495. C2×#63227C23semidirect
496. C2×#63227C23semidirect
497. #10587612C23semidirect
498. #10587612C23semidirect
499. #10587612C23semidirect
500. C2×C4⋊Dic17C23semidirect
501. C2×C4⋊Dic17C23semidirect
502. C2×C4⋊Dic17C23semidirect
503. C2×C4⋊Dic17C23semidirect
504. #10587610C23semidirect
505. #10587610C23semidirect
506. #10587610C23semidirect
507. #10587610C23semidirect
508. #10587610C23semidirect
509. #10587610C23semidirect
510. C2×#63225C23semidirect
511. C2×#63225C23semidirect
512. C2×#63225C23semidirect
513. C2×#63225C23semidirect
514. C2×#63225C23semidirect
515. C2×#63225C23semidirect
516. C2×C4×Dic17C23semidirect
517. C2×C4×Dic17C23semidirect
518. C2×C4×Dic17C23semidirect
519. #10587584C23semidirect
520. #10587584C23semidirect
521. #10587584C23semidirect
522. #10587584C23semidirect
523. #10587584C23semidirect
524. #10587584C23semidirect
525. #10587584C23semidirect
526. #10587584C23semidirect
527. #10587584C23semidirect
528. #10587583C23semidirect
529. #10587583C23semidirect
530. #10587583C23semidirect
531. #10587583C23semidirect
532. #10587583C23semidirect
533. #10587583C23semidirect
534. #10587582C23semidirect
535. #10587582C23semidirect
536. #10587582C23semidirect
537. #10587582C23semidirect
538. #10587582C23semidirect
539. #10587582C23semidirect
540. #10587582C23semidirect
543. #10587581C23semidirect
544. #10587581C23semidirect
545. #10587581C23semidirect
546. #10587581C23semidirect
547. #10587581C23semidirect
548. #10587581C23semidirect
551. #10587580C23semidirect
552. #10587580C23semidirect
553. #10587580C23semidirect
554. #10587580C23semidirect
555. #10587580C23semidirect
556. #10587580C23semidirect
557. #10587580C23semidirect
558. #10587580C23semidirect
561. #10587579C23semidirect
562. #10587579C23semidirect
563. #10587579C23semidirect
564. #10587579C23semidirect
565. #10587579C23semidirect
566. #10587579C23semidirect
567. #10587579C23semidirect
568. #10587579C23semidirect
569. #10587578C23semidirect
570. #10587578C23semidirect
571. #10587578C23semidirect
572. #10587578C23semidirect
573. #10587578C23semidirect
574. #10587578C23semidirect
587. C4⋊C4×D17C23semidirect
588. C4⋊C4×D17C23semidirect
589. C4⋊C4×D17C23semidirect
590. C4⋊C4×D17C23semidirect
591. C4⋊C4×D17C23semidirect
592. C4⋊C4×D17C23semidirect
593. C4⋊C4×D17C23semidirect
594. C4⋊C4×D17C23semidirect
595. #10587576C23semidirect
596. #10587576C23semidirect
597. #10587576C23semidirect
598. #10587576C23semidirect
599. #10587575C23semidirect
600. #10587575C23semidirect
601. #10587575C23semidirect
602. #10587575C23semidirect
603. #10587575C23semidirect
604. #10587575C23semidirect
605. #10587573C23semidirect
606. #10587573C23semidirect
608. #10587572C23semidirect
609. #10587572C23semidirect
610. #10587572C23semidirect
611. #10587572C23semidirect
612. #10587571C23semidirect
613. #10587571C23semidirect
614. #10587571C23semidirect
615. #10587571C23semidirect
616. #10587571C23semidirect
617. #10587571C23semidirect
620. #10587570C23semidirect
621. #10587570C23semidirect
622. #10587570C23semidirect
623. #10587570C23semidirect
624. #10587570C23semidirect
625. #10587570C23semidirect
626. #10587570C23semidirect
627. #10587570C23semidirect
628. #10587570C23semidirect
631. #10587569C23semidirect
632. #10587569C23semidirect
633. #10587569C23semidirect
634. #10587569C23semidirect
635. #10587569C23semidirect
636. #10587569C23semidirect
637. #10587569C23semidirect
638. #10587569C23semidirect
642. #10587568C23semidirect
643. #10587568C23semidirect
644. #10587568C23semidirect
649. #10587567C23semidirect
650. #10587567C23semidirect
651. #10587567C23semidirect
652. #10587567C23semidirect
653. #10587567C23semidirect
654. #10587567C23semidirect
655. #10587567C23semidirect
656. #10587567C23semidirect
657. #10587567C23semidirect
658. #10587567C23semidirect
659. #10587567C23semidirect
660. #10587567C23semidirect
661. #10587567C23semidirect
662. #10587567C23semidirect
663. #10587567C23semidirect
682. C22⋊C4×D17C23semidirect
683. C22⋊C4×D17C23semidirect
684. C22⋊C4×D17C23semidirect
685. C22⋊C4×D17C23semidirect
686. C22⋊C4×D17C23semidirect
687. C22⋊C4×D17C23semidirect
688. C22⋊C4×D17C23semidirect
689. C22⋊C4×D17C23semidirect
690. #10587565C23semidirect
691. #10587565C23semidirect
692. #10587565C23semidirect
693. #10587565C23semidirect
694. #10587565C23semidirect
695. #10587565C23semidirect
696. #10587565C23semidirect
697. #10587565C23semidirect
698. #10587565C23semidirect
699. #10587564C23semidirect
700. #10587564C23semidirect
701. #10587564C23semidirect
702. #10587564C23semidirect
703. #10587564C23semidirect
704. #10587564C23semidirect
705. #10587564C23semidirect
706. #10587563C23semidirect
707. #10587563C23semidirect
708. #10587563C23semidirect
709. #10587563C23semidirect
710. #10587563C23semidirect
711. #10587562C23semidirect
712. #10587562C23semidirect
713. #10587562C23semidirect
714. #10587561C23semidirect
715. #10587561C23semidirect
718. C4×D68C23semidirect
719. C4×D68C23semidirect
720. C4×D68C23semidirect
721. C4×D68C23semidirect
722. C4×D68C23semidirect
723. C4×D68C23semidirect
724. C4×D68C23semidirect
725. C4×D68C23semidirect
726. #10587558C23semidirect
727. #10587558C23semidirect
728. #10587558C23semidirect
729. #10587558C23semidirect
730. #10587558C23semidirect
735. C42×D17C23semidirect
736. C42×D17C23semidirect
737. #10587556C23semidirect
738. #10587556C23semidirect
739. C4×Dic34C23semidirect
740. C4×Dic34C23semidirect
752. C23×D17#41semidirect
1062. C23×C17C2×#41semidirect
1104. C22×D17C2×#41semidirect
1105. C22×D17C2×#41semidirect
1106. C22×D17C2×#41semidirect
1252. #3505D17direct (N × H)
1370. #553C2×D17semidirect
1371. #553C2×D17semidirect
1383. #552C2×D17semidirect
1399. #551C2×D17semidirect
1411. #548C2×D17semidirect
1423. #546C2×D17semidirect
1433. #539C2×D17semidirect
1443. #538C2×D17semidirect
1453. #534C2×D17semidirect
1465. #529C2×D17semidirect
1484. #525C2×D17semidirect
1505. C2×C22⋊Q8C2×D17semidirect
1523. C2×#121C2×D17semidirect
1535. #518C2×D17semidirect
1558. C2×C4×D4C2×D17semidirect
1585. D17#3505direct (N × H)
1595. C2×#41C22×D17semidirect
1603. C22×Q8C22×D17semidirect
1631. C22×D4C22×D17semidirect
1663. C23×C4C22×D17semidirect
1685. #126C22×D17semidirect
1686. #126C22×D17semidirect
1687. #126C22×D17semidirect
1700. #125C22×D17semidirect
1701. #125C22×D17semidirect
1714. #124C22×D17semidirect
1715. #124C22×D17semidirect
1752. #123C22×D17semidirect
1753. #123C22×D17semidirect
1754. #123C22×D17semidirect
1755. #123C22×D17semidirect
1788. C22⋊Q8C22×D17semidirect
1789. C22⋊Q8C22×D17semidirect
1790. C22⋊Q8C22×D17semidirect
1791. C22⋊Q8C22×D17semidirect
1792. C22⋊Q8C22×D17semidirect
1793. C22⋊Q8C22×D17semidirect
1842. #121C22×D17semidirect
1843. #121C22×D17semidirect
1844. #121C22×D17semidirect
1845. #121C22×D17semidirect
1846. #121C22×D17semidirect
1847. #121C22×D17semidirect
1863. #120C22×D17semidirect
1869. C4×Q8C22×D17semidirect
1940. C4×D4C22×D17semidirect
1941. C4×D4C22×D17semidirect
1942. C4×D4C22×D17semidirect
1943. C4×D4C22×D17semidirect
1944. C4×D4C22×D17semidirect
1945. C4×D4C22×D17semidirect
1946. C4×D4C22×D17semidirect
1947. C4×D4C22×D17semidirect
1967. #117C22×D17semidirect
1968. #117C22×D17semidirect
1969. #117C22×D17semidirect
2000. C2×C4⋊C4C22×D17semidirect
2001. C2×C4⋊C4C22×D17semidirect
2002. C2×C4⋊C4C22×D17semidirect
2003. C2×C4⋊C4C22×D17semidirect
2047. C2×C22⋊C4C22×D17semidirect
2048. C2×C22⋊C4C22×D17semidirect
2049. C2×C22⋊C4C22×D17semidirect
2059. C2×C42C22×D17semidirect
2060. C17C2×#3505semidirect
2426. C23#41×D17semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#145426252
#145426242
#145426232
#145426222
#145426212
#145426202
#145426192
#145426182
#145426172
#145426162
#145426152
#145426142
#145426132
#145426122
#145426112
D17×#5532
D17×#5522
D17×#5512
D17×#5482
D17×#5462
D17×#5392
D17×#5382
D17×#5342
D17×#5292
D17×#5252
C2×C22⋊Q8×D172
C2×#121×D172
D17×#5182
C2×C4×D4×D172
C17×#35052
C2×#350517