Finite Group Databasebeta

← D17×#2424 #17201786

Subgroups — D17×#2424 #17201786

Order 4352.

5898 conjugacy classes of subgroups.

The subgroup lattice has 2356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D17C211yesmaximal, characteristic, complemented
2C2×#121×D17C211yesmaximal, characteristic, complemented
3C2×#120×D17C211yesmaximal, characteristic, complemented
4C2×#120×D17C211yesmaximal, characteristic, complemented
5C2×C4×D4×D17C211yesmaximal, characteristic, complemented
6C22×C22⋊C4×D17C211yesmaximal, characteristic, complemented
7#14532327C211yesmaximal, characteristic, complemented
8#14532326C211yesmaximal, characteristic, complemented
9#14532325C211yesmaximal, characteristic, complemented
10#14532324C211yesmaximal, characteristic, complemented
11#14532323C211yesmaximal, characteristic, complemented
12#14532322C211yesmaximal, characteristic, complemented
13#14532321C211yesmaximal, characteristic, complemented
14#14532320C211yesmaximal, characteristic, complemented
15#14532319C211yesmaximal, characteristic, complemented
16#14532318C211yesmaximal, characteristic, complemented
17#14532317C211yesmaximal, characteristic, complemented
18#14532316C211yesmaximal, characteristic, complemented
19#14532315C211yesmaximal, characteristic, complemented
20#14532314C211yesmaximal, characteristic, complemented
21#14532313C211yesmaximal, characteristic, complemented
22D17×#396C211yesmaximal, characteristic, complemented
23D17×#394C211yesmaximal, characteristic, complemented
24D17×#394C211yesmaximal, characteristic, complemented
25D17×#392C211yesmaximal, characteristic, complemented
26D17×#390C211yesmaximal, characteristic, complemented
27D17×#388C211yesmaximal, characteristic, complemented
28D17×#386C211yesmaximal, characteristic, complemented
29D17×#386C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2424C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C22×D4×D17C2211yescharacteristic
37C22×D4×D17C2211yescharacteristic
38C22×D4×D17C2211yescharacteristic
39C22×D4×D17C2211yescharacteristic, complemented
40C23×C4×D17C2211yescharacteristic
41C23×C4×D17C2211yescharacteristic
42C23×C4×D17C2211yescharacteristic, complemented
43C2×#10587581C2211yescharacteristic, complemented
44C2×#10587581C2211yescharacteristic, complemented
45C2×#10587616C2211yescharacteristic, complemented
46C2×#10587616C2211yescharacteristic, complemented
47C2×#10587570C2211yescharacteristic, complemented
48C2×#10587570C2211yescharacteristic, complemented
49C2×#10587570C2211yescharacteristic, complemented
50C2×#10587570C2211yescharacteristic, complemented
51C2×#10587625C2211yescharacteristic, complemented
52C2×#10587625C2211yescharacteristic, complemented
53C2×#10587625C2211yescharacteristic, complemented
54C2×#10587625C2211yescharacteristic, complemented
55C2×#10587624C2211yescharacteristic, complemented
56C2×#10587624C2211yescharacteristic, complemented
57#121×D17—28no—
58#121×D17—28no—
59C2×#10587568C2211yescharacteristic, complemented
60C2×#10587568C2211yescharacteristic, complemented
61C2×#10587568C2211yescharacteristic, complemented
62C2×#10587568C2211yescharacteristic, complemented
63C2×#10587568C2211yescharacteristic, complemented
64C2×#10587568C2211yescharacteristic, complemented
65C2×#10587639C2211yescharacteristic, complemented
66C2×#10587639C2211yescharacteristic, complemented
67C2×#10587623C2211yescharacteristic, complemented
68C2×#10587623C2211yescharacteristic, complemented
69C2×#10587623C2211yescharacteristic, complemented
70C2×#10587623C2211yescharacteristic, complemented
71C2×#10587623C2211yescharacteristic, complemented
72C2×#10587623C2211yescharacteristic, complemented
73#120×D17—28no—
74#120×D17—28no—
75C2×C4×D68C2211yescharacteristic, complemented
76C2×D4×Dic17C2211yescharacteristic, complemented
77C2×#10587579C2211yescharacteristic, complemented
78C2×C4×C22⋊D17C2211yescharacteristic, complemented
79C2×C4×C22⋊D17C2211yescharacteristic, complemented
80C2×#10587567C2211yescharacteristic, complemented
81C2×#10587567C2211yescharacteristic, complemented
82C4×D4×D17—28no—
83C2×C4⋊C4×D17C2211yescharacteristic, complemented
84C2×C4⋊C4×D17C2211yescharacteristic, complemented
85C2×C4⋊C4×D17C2211yescharacteristic, complemented
86C2×C4⋊C4×D17C2211yescharacteristic, complemented
87C22×C22⋊Dic17C2211yescharacteristic, complemented
88C22×#63227C2211yescharacteristic, complemented
89C22×#63227C2211yescharacteristic, complemented
90C2×C22⋊C4×D17—28no—
91C2×C22⋊C4×D17C2211yescharacteristic
92C2×C22⋊C4×D17C2211yescharacteristic
93C2×C22⋊C4×D17C2211yescharacteristic
94C2×C22⋊C4×D17C2211yescharacteristic
95C2×C22⋊C4×D17C2211yescharacteristic
96C2×C22⋊C4×D17C2211yescharacteristic
97C2×C22⋊C4×D17C2211yescharacteristic
98C2×C22⋊C4×D17C2211yescharacteristic
99C2×C22⋊C4×D17C2211yescharacteristic
100C2×C22⋊C4×D17C2211yescharacteristic
101C2×C22⋊C4×D17C2211yescharacteristic, complemented
102C2×C22⋊C4×D17C2211yescharacteristic, complemented
103C2×C22⋊C4×D17C2211yescharacteristic, complemented
104C2×C22⋊C4×D17C2211yescharacteristic, complemented
105C2×C22⋊C4×D17C2211yescharacteristic, complemented
106C2×C22⋊C4×D17C2211yescharacteristic, complemented
107C2×C22⋊C4×D17C2211yescharacteristic, complemented
108C2×C22⋊C4×D17C2211yescharacteristic, complemented
109C2×C22⋊C4×D17C2211yescharacteristic, complemented
110C2×C42×D17C2211yescharacteristic, complemented
111#11762733C2211yescharacteristic, complemented
112#11762732C2211yescharacteristic, complemented
113#11762732C2211yescharacteristic, complemented
114#11762732C2211yescharacteristic, complemented
115#11762731C2211yescharacteristic, complemented
116#11762731C2211yescharacteristic, complemented
117#11762731C2211yescharacteristic, complemented
118#11762727C2211yescharacteristic, complemented
119#11762727C2211yescharacteristic, complemented
120#11762726C2211yescharacteristic, complemented
121#11762726C2211yescharacteristic, complemented
122#11762725C2211yescharacteristic, complemented
123#11762725C2211yescharacteristic, complemented
124#11762725C2211yescharacteristic, complemented
125#11762725C2211yescharacteristic, complemented
126#11762724C2211yescharacteristic, complemented
127#11762724C2211yescharacteristic, complemented
128#11762724C2211yescharacteristic, complemented
129#11762724C2211yescharacteristic, complemented
130#11762723C2211yescharacteristic, complemented
131#11762723C2211yescharacteristic, complemented
132#11762719C2211yescharacteristic, complemented
133#11762718C2211yescharacteristic, complemented
134#11762718C2211yescharacteristic, complemented
135#11762718C2211yescharacteristic, complemented
136#11762717C2211yescharacteristic, complemented
137#11762717C2211yescharacteristic, complemented
138#11762717C2211yescharacteristic, complemented
139#11762712C2211yescharacteristic, complemented
140#11762711C2211yescharacteristic, complemented
141#11762710C2211yescharacteristic, complemented
142#11762709C2211yescharacteristic, complemented
143#11762709C2211yescharacteristic, complemented
144#11762709C2211yescharacteristic, complemented
145#11762709C2211yescharacteristic, complemented
146#11762703C2211yescharacteristic, complemented
147#11762702C2211yescharacteristic, complemented
148#11762701C2211yescharacteristic, complemented
149#11762700C2211yescharacteristic, complemented
150#11762699C2211yescharacteristic, complemented
151#11762698C2211yescharacteristic, complemented
152#11762697C2211yescharacteristic, complemented
153#11762689C2211yescharacteristic, complemented
154#11762689C2211yescharacteristic, complemented
155#11762688C2211yescharacteristic, complemented
156#11762688C2211yescharacteristic, complemented
157#11762687C2211yescharacteristic, complemented
158#11762687C2211yescharacteristic, complemented
159#11762687C2211yescharacteristic, complemented
160#11762687C2211yescharacteristic, complemented
161#11762686C2211yescharacteristic, complemented
162#11762686C2211yescharacteristic, complemented
163#11762685C2211yescharacteristic, complemented
164#11762685C2211yescharacteristic, complemented
165#11762685C2211yescharacteristic, complemented
166#11762685C2211yescharacteristic, complemented
167#11762684C2211yescharacteristic, complemented
168#11762683C2211yescharacteristic, complemented
169#11762683C2211yescharacteristic, complemented
170#11762682C2211yescharacteristic, complemented
171#11762681C2211yescharacteristic, complemented
172#11762680C2211yescharacteristic, complemented
173#11762680C2211yescharacteristic, complemented
174#95×D17C2211yescharacteristic, complemented
175#95×D17C2211yescharacteristic, complemented
176#95×D17C2211yescharacteristic, complemented
177#95×D17C2211yescharacteristic, complemented
178C2×C17×#121C2211yescharacteristic, complemented
179C2×C17×#121C2211yescharacteristic, complemented
180C2×C17×#120C2211yescharacteristic, complemented
181C2×C17×#120C2211yescharacteristic, complemented
182C2×C4×D4×C17C2211yescharacteristic, complemented
183C22×C22⋊C4×C17C2211yescharacteristic, complemented
184C17×#396C2211yescharacteristic, complemented
185C17×#394C2211yescharacteristic, complemented
186C17×#394C2211yescharacteristic, complemented
187C17×#392C2211yescharacteristic, complemented
188C17×#390C2211yescharacteristic, complemented
189C17×#388C2211yescharacteristic, complemented
190C17×#386C2211yescharacteristic, complemented
191C17×#386C2211yescharacteristic, complemented
192C17×#385C2211yescharacteristic, complemented
193C25×C17C2311yescharacteristic
194C24×D17—24no—
195C24×D17—24no—
196C24×D17—24no—
197C24×D17—24no—
198C24×D17—24no—
199C24×D17—42no—
200C24×D17—42no—
201C24×D17C2311yescharacteristic
202C24×D17C2311yescharacteristic
203C24×D17C2311yescharacteristic
204C24×D17C2311yescharacteristic
205C24×D17C2311yescharacteristic
206C24×D17C2311yescharacteristic
207C24×D17C2311yescharacteristic
208C24×D17C2311yescharacteristic
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C22×D4×C17C2311yescharacteristic
215C22×D4×C17C2311yescharacteristic, complemented
216C23×C4×C17C2311yescharacteristic
217C23×C4×C17C2311yescharacteristic
218C23×C4×C17C2311yescharacteristic, complemented
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×C22⋊D17C2311yescharacteristic
224C22×C22⋊D17C2311yescharacteristic
225C22×C22⋊D17C2311yescharacteristic
226C22×C22⋊D17C2311yescharacteristic
227C22×C22⋊D17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic, complemented
232C22×C22⋊D17C2311yescharacteristic, complemented
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C23×Dic17C2311yescharacteristic, complemented
236C2×D4×D17—24no—
237C2×D4×D17—24no—
238C2×D4×D17—24no—
239C2×D4×D17—24no—
240C2×D4×D17—24no—
241C2×D4×D17—24no—
242C2×D4×D17—24no—
243C2×D4×D17—24no—
244C2×D4×D17—24no—
245C2×D4×D17—24no—
246C2×D4×D17—24no—
247C2×D4×D17—24no—
248C2×D4×D17—24no—
249C2×D4×D17—24no—
250C2×D4×D17—24no—
251C2×D4×D17—42no—
252C2×D4×D17—42no—
253C2×D4×D17—42no—
254C2×D4×D17—42no—
255C2×D4×D17—42no—
256C2×D4×D17D418yescomplemented
257C22×D68C2311yescharacteristic
258C22×D68C2311yescharacteristic
259C22×D68C2311yescharacteristic
260C22×D68C2311yescharacteristic
261C22×D68C2311yescharacteristic
262C22×D68C2311yescharacteristic
263C22×D68C2311yescharacteristic, complemented
264C22×C4×D17—24no—
265C22×C4×D17—24no—
266C22×C4×D17—24no—
267C22×C4×D17—24no—
268C22×C4×D17—24no—
269C22×C4×D17—24no—
270C22×C4×D17—42no—
271C22×C4×D17—42no—
272C22×C4×D17—42no—
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×C4×D17C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2311yescharacteristic
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2311yescharacteristic
286C22×C4×D17C2311yescharacteristic
287C22×C4×D17C2311yescharacteristic, complemented
288C22×C4×D17C2311yescharacteristic, complemented
289C17×#121—24no—
290C17×#121—24no—
291C17×#120—24no—
292C17×#120—24no—
293C4×D4×C17—24no—
294C2×C4⋊C4×C17C2311yescharacteristic, complemented
295C2×C4⋊C4×C17C2311yescharacteristic, complemented
296C2×C4⋊C4×C17C2311yescharacteristic, complemented
297C2×C4⋊C4×C17C2311yescharacteristic, complemented
298C2×C22⋊C4×C17—24no—
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic, complemented
310C2×C22⋊C4×C17C2311yescharacteristic, complemented
311C2×C22⋊C4×C17C2311yescharacteristic, complemented
312C2×C22⋊C4×C17C2311yescharacteristic, complemented
313C2×C22⋊C4×C17C2311yescharacteristic, complemented
314C2×C42×C17C2311yescharacteristic, complemented
315#10587639—24no—
316#10587639—24no—
317C2×C22⋊Dic17—24no—
318C2×C22⋊Dic17C2311yescharacteristic
319C2×C22⋊Dic17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328C2×C22⋊Dic17C2311yescharacteristic, complemented
329C2×C22⋊Dic17C2311yescharacteristic, complemented
330C2×C22⋊Dic17C2311yescharacteristic, complemented
331C2×C22⋊Dic17C2311yescharacteristic, complemented
332C2×C22⋊Dic17C2311yescharacteristic, complemented
333#10587625—24no—
334#10587625—24no—
335#10587625—24no—
336#10587625—24no—
337#10587624—24no—
338#10587624—24no—
339#10587623—24no—
340#10587623—24no—
341#10587623—24no—
342#10587623—24no—
343#10587623—24no—
344#10587623—24no—
345D4×Dic17—24no—
346#10587616—24no—
347#10587616—24no—
348C4×C22⋊D17—24no—
349C4×C22⋊D17—24no—
350C2×#63227—24no—
351C2×#63227—24no—
352C2×#63227C2311yescharacteristic
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic, complemented
373C2×#63227C2311yescharacteristic, complemented
374C2×#63227C2311yescharacteristic, complemented
375C2×#63227C2311yescharacteristic, complemented
376C2×#63227C2311yescharacteristic, complemented
377C2×#63227C2311yescharacteristic, complemented
378C2×#63227C2311yescharacteristic, complemented
379C2×#63227C2311yescharacteristic, complemented
380C2×#63227C2311yescharacteristic, complemented
381C2×#63227C2311yescharacteristic, complemented
382C2×C4⋊Dic17C2311yescharacteristic, complemented
383C2×C4⋊Dic17C2311yescharacteristic, complemented
384C2×C4⋊Dic17C2311yescharacteristic, complemented
385C2×C4⋊Dic17C2311yescharacteristic, complemented
386C2×#63225C2311yescharacteristic, complemented
387C2×#63225C2311yescharacteristic, complemented
388C2×#63225C2311yescharacteristic, complemented
389C2×#63225C2311yescharacteristic, complemented
390C2×#63225C2311yescharacteristic, complemented
391C2×#63225C2311yescharacteristic, complemented
392C2×#63225C2311yescharacteristic, complemented
393C2×#63225C2311yescharacteristic, complemented
394C2×C4×Dic17C2311yescharacteristic, complemented
395C2×C4×Dic17C2311yescharacteristic, complemented
396C2×C4×Dic17C2311yescharacteristic, complemented
397#10587581—24no—
398#10587581—24no—
399#10587579—24no—
400C4⋊C4×D17—24no—
401C4⋊C4×D17—24no—
402C4⋊C4×D17—24no—
403C4⋊C4×D17—42no—
404#10587570—24no—
405#10587570—24no—
406#10587570—24no—
407#10587570—24no—
408#10587568—24no—
409#10587568—24no—
410#10587568—24no—
411#10587568—24no—
412#10587568—24no—
413#10587568—24no—
414#10587567—24no—
415#10587567—24no—
416C22⋊C4×D17—24no—
417C22⋊C4×D17—24no—
418C22⋊C4×D17—24no—
419C22⋊C4×D17—24no—
420C22⋊C4×D17—24no—
421C22⋊C4×D17—24no—
422C22⋊C4×D17—24no—
423C22⋊C4×D17—24no—
424C22⋊C4×D17—24no—
425C22⋊C4×D17—24no—
426C22⋊C4×D17—24no—
427C22⋊C4×D17—24no—
428C22⋊C4×D17—24no—
429C22⋊C4×D17—24no—
430C22⋊C4×D17—24no—
431C22⋊C4×D17—24no—
432C22⋊C4×D17—42no—
433C22⋊C4×D17D418yescomplemented
434C22⋊C4×D17D418yescomplemented
435C4×D68—24no—
436C42×D17—24no—
437C17×#95C2311yescharacteristic, complemented
438C17×#95C2311yescharacteristic, complemented
439C17×#95C2311yescharacteristic, complemented
440C17×#95C2311yescharacteristic, complemented
441#10587502C2311yescharacteristic, complemented
442#10587502C2311yescharacteristic, complemented
443#10587502C2311yescharacteristic, complemented
444#10587502C2311yescharacteristic, complemented
445#10587502C2311yescharacteristic, complemented
446#10587502C2311yescharacteristic, complemented
447#10587502C2311yescharacteristic, complemented
448#10587502C2311yescharacteristic, complemented
449#10587502C2311yescharacteristic, complemented
450#10587502C2311yescharacteristic, complemented
451#10587502C2311yescharacteristic, complemented
452#10587502C2311yescharacteristic, complemented
453C24×C17—22no—
454C24×C17—22no—
455C24×C17—22no—
456C24×C17—22no—
457C24×C17—22no—
458C24×C17—41no—
459C24×C17—41no—
460C24×C17C2411yescharacteristic
461C24×C17C2411yescharacteristic
462C24×C17C2411yescharacteristic
463C24×C17C2411yescharacteristic
464C24×C17C2411yescharacteristic
465C23×D17—22no—
466C23×D17—22no—
467C23×D17—22no—
468C23×D17—22no—
469C23×D17—232no—
470C23×D17—22no—
471C23×D17—22no—
472C23×D17—22no—
473C23×D17—22no—
474C23×D17—22no—
475C23×D17—22no—
476C23×D17—22no—
477C23×D17—22no—
478C23×D17—22no—
479C23×D17—22no—
480C23×D17—22no—
481C23×D17—22no—
482C23×D17—22no—
483C23×D17—22no—
484C23×D17—22no—
485C23×D17—22no—
486C23×D17—22no—
487C23×D17—22no—
488C23×D17—22no—
489C23×D17—22no—
490C23×D17—22no—
491C23×D17—22no—
492C23×D17—22no—
493C23×D17—22no—
494C23×D17—22no—
495C23×D17—22no—
496C23×D17—22no—
497C23×D17—22no—
498C23×D17—22no—
499C23×D17—22no—
500C23×D17—22no—
501C23×D17—22no—
502C23×D17—22no—
503C23×D17—22no—
504C23×D17—22no—
505C23×D17—22no—
506C23×D17—22no—
507C23×D17—22no—
508C23×D17—22no—
509C23×D17—22no—
510C23×D17—41no—
511C23×D17—41no—
512C23×D17—41no—
513C23×D17—41no—
514C23×D17—41no—
515C23×D17—41no—
516C23×D17—416no—
517C23×D17—416no—
518C23×D17—416no—
519C23×D17—416no—
520C23×D17—416no—
521C23×D17—416no—
522C23×D17C2×D414yes—
523C23×D17C2×D414yes—
524C23×D17C2×D414yes—
525C23×D17C2×D414yes—
526C23×D17#4114yes—
527C23×D17#4114yes—
528C23×D17C2411yescharacteristic
529C23×D17C2411yescharacteristic
530C23×D17C2411yescharacteristic
531C23×D17C2411yescharacteristic
532C23×D17C2411yescharacteristic
533C23×D17C2411yescharacteristic
534C2×D4×C17—22no—
535C2×D4×C17—22no—
536C2×D4×C17—22no—
537C2×D4×C17—22no—
538C2×D4×C17—22no—
539C2×D4×C17—22no—
540C2×D4×C17—22no—
541C2×D4×C17—22no—
542C2×D4×C17—22no—
543C2×D4×C17—22no—
544C2×D4×C17—22no—
545C2×D4×C17—22no—
546C2×D4×C17—22no—
547C2×D4×C17—22no—
548C2×D4×C17—22no—
549C2×D4×C17—41no—
550C2×D4×C17—41no—
551C2×D4×C17—41no—
552C2×D4×C17—41no—
553C2×D4×C17—41no—
554C2×D4×C17C2×D414yescomplemented
555C22×C4×C17—22no—
556C22×C4×C17—22no—
557C22×C4×C17—22no—
558C22×C4×C17—22no—
559C22×C4×C17—22no—
560C22×C4×C17—22no—
561C22×C4×C17—41no—
562C22×C4×C17—41no—
563C22×C4×C17—41no—
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C2×C22⋊D17—22no—
575C2×C22⋊D17—22no—
576C2×C22⋊D17—22no—
577C2×C22⋊D17—22no—
578C2×C22⋊D17—22no—
579C2×C22⋊D17—22no—
580C2×C22⋊D17—22no—
581C2×C22⋊D17—22no—
582C2×C22⋊D17—22no—
583C2×C22⋊D17—22no—
584C2×C22⋊D17—22no—
585C2×C22⋊D17—22no—
586C2×C22⋊D17—22no—
587C2×C22⋊D17—22no—
588C2×C22⋊D17—22no—
589C2×C22⋊D17—22no—
590C2×C22⋊D17—22no—
591C2×C22⋊D17—22no—
592C2×C22⋊D17—22no—
593C2×C22⋊D17—22no—
594C2×C22⋊D17—22no—
595C2×C22⋊D17—22no—
596C2×C22⋊D17—22no—
597C2×C22⋊D17—22no—
598C2×C22⋊D17—22no—
599C2×C22⋊D17—22no—
600C2×C22⋊D17—22no—
601C2×C22⋊D17—22no—
602C2×C22⋊D17—22no—
603C2×C22⋊D17—22no—
604C2×C22⋊D17—41no—
605C2×C22⋊D17—41no—
606C2×C22⋊D17—41no—
607C2×C22⋊D17—41no—
608C2×C22⋊D17—41no—
609C2×C22⋊D17—41no—
610C2×C22⋊D17—41no—
611C2×C22⋊D17—41no—
612C2×C22⋊D17—41no—
613C2×C22⋊D17—41no—
614C2×C22⋊D17C2×D414yescomplemented
615C2×C22⋊D17C2×D414yescomplemented
616C22×Dic17—22no—
617C22×Dic17—22no—
618C22×Dic17—22no—
619C22×Dic17—22no—
620C22×Dic17—22no—
621C22×Dic17—22no—
622C22×Dic17—41no—
623C22×Dic17—41no—
624C22×Dic17—41no—
625C22×Dic17C2411yescharacteristic
626C22×Dic17C2411yescharacteristic
627C22×Dic17C2411yescharacteristic
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2411yescharacteristic
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2411yescharacteristic
634C22×Dic17C2411yescharacteristic
635D4×D17—232no—
636D4×D17—416no—
637D4×D17—416no—
638D4×D17—416no—
639D4×D17—416no—
640D4×D17—416no—
641D4×D17—416no—
642C2×D68—22no—
643C2×D68—22no—
644C2×D68—22no—
645C2×D68—22no—
646C2×D68—22no—
647C2×D68—22no—
648C2×D68—22no—
649C2×D68—22no—
650C2×D68—22no—
651C2×D68—22no—
652C2×D68—22no—
653C2×D68—22no—
654C2×D68—22no—
655C2×D68—22no—
656C2×D68—22no—
657C2×D68—41no—
658C2×D68—41no—
659C2×D68—41no—
660C2×D68—41no—
661C2×D68—41no—
662C2×D68C2×D414yescomplemented
663C2×C4×D17—22no—
664C2×C4×D17—22no—
665C2×C4×D17—22no—
666C2×C4×D17—22no—
667C2×C4×D17—22no—
668C2×C4×D17—22no—
669C2×C4×D17—22no—
670C2×C4×D17—22no—
671C2×C4×D17—22no—
672C2×C4×D17—22no—
673C2×C4×D17—22no—
674C2×C4×D17—22no—
675C2×C4×D17—22no—
676C2×C4×D17—22no—
677C2×C4×D17—22no—
678C2×C4×D17—22no—
679C2×C4×D17—22no—
680C2×C4×D17—22no—
681C2×C4×D17—22no—
682C2×C4×D17—22no—
683C2×C4×D17—22no—
684C2×C4×D17—22no—
685C2×C4×D17—22no—
686C2×C4×D17—22no—
687C2×C4×D17—22no—
688C2×C4×D17—22no—
689C2×C4×D17—22no—
690C2×C4×D17—22no—
691C2×C4×D17—22no—
692C2×C4×D17—22no—
693C2×C4×D17—22no—
694C2×C4×D17—22no—
695C2×C4×D17—22no—
696C2×C4×D17—22no—
697C2×C4×D17—22no—
698C2×C4×D17—22no—
699C2×C4×D17—22no—
700C2×C4×D17—416no—
701C2×C4×D17—416no—
702C2×C4×D17—416no—
703C2×C4×D17—41no—
704C2×C4×D17—41no—
705C2×C4×D17—41no—
706C2×C4×D17—41no—
707C2×C4×D17—41no—
708C2×C4×D17—41no—
709C2×C4×D17C2×D414yes—
710C2×C4×D17C2×D414yes—
711C2×C4×D17C2×D414yes—
712C2×C4×D17C2×D414yes—
713C2×C4×D17C2×D414yes—
714C4⋊C4×C17—22no—
715C4⋊C4×C17—22no—
716C4⋊C4×C17—22no—
717C4⋊C4×C17—41no—
718C22⋊C4×C17—22no—
719C22⋊C4×C17—22no—
720C22⋊C4×C17—22no—
721C22⋊C4×C17—22no—
722C22⋊C4×C17—22no—
723C22⋊C4×C17—22no—
724C22⋊C4×C17—22no—
725C22⋊C4×C17—22no—
726C22⋊C4×C17—22no—
727C22⋊C4×C17—22no—
728C22⋊C4×C17—22no—
729C22⋊C4×C17—22no—
730C22⋊C4×C17—41no—
731C22⋊C4×C17C2×D414yescomplemented
732C22⋊C4×C17C2×D414yescomplemented
733C42×C17—22no—
734C22⋊Dic17—22no—
735C22⋊Dic17—22no—
736C22⋊Dic17—22no—
737C22⋊Dic17—22no—
738C22⋊Dic17—22no—
739C22⋊Dic17—22no—
740C22⋊Dic17—22no—
741C22⋊Dic17—22no—
742C22⋊Dic17—22no—
743C22⋊Dic17—22no—
744C22⋊Dic17—22no—
745C22⋊Dic17—22no—
746C22⋊Dic17—41no—
747C22⋊Dic17C2×D414yescomplemented
748C22⋊Dic17C2×D414yescomplemented
749#63227—22no—
750#63227—22no—
751#63227—22no—
752#63227—22no—
753#63227—22no—
754#63227—22no—
755#63227—22no—
756#63227—22no—
757#63227—22no—
758#63227—22no—
759#63227—22no—
760#63227—22no—
761#63227—22no—
762#63227—22no—
763#63227—22no—
764#63227—22no—
765#63227—22no—
766#63227—22no—
767#63227—22no—
768#63227—22no—
769#63227—22no—
770#63227—22no—
771#63227—22no—
772#63227—22no—
773#63227—41no—
774#63227—41no—
775#63227C2×D414yescomplemented
776#63227C2×D414yescomplemented
777#63227C2×D414yescomplemented
778#63227C2×D414yescomplemented
779C4⋊Dic17—22no—
780C4⋊Dic17—22no—
781C4⋊Dic17—22no—
782C4⋊Dic17—41no—
783#63225—22no—
784#63225—22no—
785#63225—22no—
786#63225—22no—
787#63225—22no—
788#63225—22no—
789#63225—41no—
790#63225—41no—
791C4×Dic17—22no—
792C4×Dic17—22no—
793C4×Dic17—22no—
794C2×#2424—171nomaximal, Sylow
795C23×C17—21no—
796C23×C17—21no—
797C23×C17—21no—
798C23×C17—21no—
799C23×C17—28no—
800C23×C17—21no—
801C23×C17—21no—
802C23×C17—21no—
803C23×C17—21no—
804C23×C17—21no—
805C23×C17—21no—
806C23×C17—21no—
807C23×C17—21no—
808C23×C17—21no—
809C23×C17—21no—
810C23×C17—21no—
811C23×C17—21no—
812C23×C17—21no—
813C23×C17—21no—
814C23×C17—21no—
815C23×C17—21no—
816C23×C17—21no—
817C23×C17—21no—
818C23×C17—21no—
819C23×C17—21no—
820C23×C17—21no—
821C23×C17—21no—
822C23×C17—21no—
823C23×C17—21no—
824C23×C17—21no—
825C23×C17—44no—
826C23×C17—44no—
827C23×C17—44no—
828C23×C17—44no—
829C23×C17—44no—
830C23×C17—44no—
831C23×C17C22×D412yes—
832C23×C17C22×D412yes—
833C23×C17C22×D412yes—
834C23×C17C22×D412yes—
835C23×C17C2×#4112yes—
836C23×C17C2×#4112yes—
837C23×C17C2511yescharacteristic
838C22×D17—21no—
839C22×D17—21no—
840C22×D17—21no—
841C22×D17—21no—
842C22×D17—28no—
843C22×D17—28no—
844C22×D17—28no—
845C22×D17—28no—
846C22×D17—28no—
847C22×D17—28no—
848C22×D17—28no—
849C22×D17—28no—
850C22×D17—28no—
851C22×D17—21no—
852C22×D17—21no—
853C22×D17—21no—
854C22×D17—21no—
855C22×D17—21no—
856C22×D17—21no—
857C22×D17—21no—
858C22×D17—21no—
859C22×D17—21no—
860C22×D17—21no—
861C22×D17—21no—
862C22×D17—21no—
863C22×D17—21no—
864C22×D17—21no—
865C22×D17—21no—
866C22×D17—21no—
867C22×D17—21no—
868C22×D17—21no—
869C22×D17—28no—
870C22×D17—28no—
871C22×D17—28no—
872C22×D17—28no—
873C22×D17—28no—
874C22×D17—28no—
875C22×D17—28no—
876C22×D17—28no—
877C22×D17—28no—
878C22×D17—21no—
879C22×D17—21no—
880C22×D17—21no—
881C22×D17—21no—
882C22×D17—21no—
883C22×D17—21no—
884C22×D17—21no—
885C22×D17—44no—
886C22×D17—44no—
887C22×D17—44no—
888C22×D17—44no—
889C22×D17—44no—
890C22×D17—44no—
891C22×D17—44no—
892C22×D17—44no—
893C22×D17—44no—
894C22×D17—44no—
895C22×D17—44no—
896C22×D17—44no—
897C22×D17—44no—
898C22×D17—44no—
899C22×D17—4128no—
900C22×D17—44no—
901C22×D17—44no—
902C22×D17—44no—
903C22×D17—44no—
904C22×D17—44no—
905C22×D17—44no—
906C22×D17—44no—
907C22×D17—44no—
908C22×D17—44no—
909C22×D17—44no—
910C22×D17—44no—
911C22×D17—44no—
912C22×D17—44no—
913C22×D17—44no—
914C22×D17—44no—
915C22×D17—44no—
916C22×D17—44no—
917C22×D17—44no—
918C22×D17—44no—
919C22×D17—44no—
920C22×D17—44no—
921C22×D17—44no—
922C22×D17—44no—
923C22×D17#121116yescomplemented
924C22×D17C22×D412yes—
925C22×D17C22×D412yes—
926C22×D17C22×D412yes—
927C22×D17C22×D412yes—
928C22×D17C22×D412yes—
929C22×D17C22×D412yes—
930C22×D17C22×D412yes—
931C22×D17C2×#4112yes—
932C22×D17C2×#4112yes—
933C22×D17C2×#4112yes—
934C22×D17C2×#4112yes—
935C22×D17H(5,𝔽2)12yes—
936C22×D17H(5,𝔽2)12yes—
937D4×C17—28no—
938D4×C17—44no—
939D4×C17—44no—
940D4×C17—44no—
941D4×C17—44no—
942D4×C17—44no—
943D4×C17—44no—
944C2×C4×C17—21no—
945C2×C4×C17—21no—
946C2×C4×C17—21no—
947C2×C4×C17—21no—
948C2×C4×C17—21no—
949C2×C4×C17—21no—
950C2×C4×C17—21no—
951C2×C4×C17—21no—
952C2×C4×C17—21no—
953C2×C4×C17—21no—
954C2×C4×C17—21no—
955C2×C4×C17—21no—
956C2×C4×C17—21no—
957C2×C4×C17—21no—
958C2×C4×C17—21no—
959C2×C4×C17—21no—
960C2×C4×C17—21no—
961C2×C4×C17—21no—
962C2×C4×C17—21no—
963C2×C4×C17—21no—
964C2×C4×C17—21no—
965C2×C4×C17—21no—
966C2×C4×C17—21no—
967C2×C4×C17—21no—
968C2×C4×C17—21no—
969C2×C4×C17—44no—
970C2×C4×C17—44no—
971C2×C4×C17—44no—
972C2×C4×C17C22×D412yes—
973C2×C4×C17C22×D412yes—
974C2×C4×C17C22×D412yes—
975C2×C4×C17C22×D412yes—
976C2×C4×C17C22×D412yes—
977C22⋊D17—28no—
978C22⋊D17—28no—
979C22⋊D17—44no—
980C22⋊D17—44no—
981C22⋊D17—44no—
982C22⋊D17—44no—
983C22⋊D17—44no—
984C22⋊D17—44no—
985C22⋊D17—44no—
986C22⋊D17—44no—
987C22⋊D17—44no—
988C22⋊D17—44no—
989C22⋊D17—44no—
990C22⋊D17—44no—
991C2×Dic17—21no—
992C2×Dic17—21no—
993C2×Dic17—21no—
994C2×Dic17—21no—
995C2×Dic17—21no—
996C2×Dic17—21no—
997C2×Dic17—21no—
998C2×Dic17—21no—
999C2×Dic17—21no—
1000C2×Dic17—21no—
1001C2×Dic17—21no—
1002C2×Dic17—21no—
1003C2×Dic17—21no—
1004C2×Dic17—21no—
1005C2×Dic17—21no—
1006C2×Dic17—21no—
1007C2×Dic17—21no—
1008C2×Dic17—21no—
1009C2×Dic17—21no—
1010C2×Dic17—21no—
1011C2×Dic17—21no—
1012C2×Dic17—21no—
1013C2×Dic17—21no—
1014C2×Dic17—21no—
1015C2×Dic17—21no—
1016C2×Dic17—44no—
1017C2×Dic17—44no—
1018C2×Dic17—44no—
1019C2×Dic17C22×D412yes—
1020C2×Dic17C22×D412yes—
1021C2×Dic17C22×D412yes—
1022C2×Dic17C22×D412yes—
1023C2×Dic17C22×D412yes—
1024D68—28no—
1025D68—44no—
1026D68—44no—
1027D68—44no—
1028D68—44no—
1029D68—44no—
1030D68—44no—
1031C4×D17—28no—
1032C4×D17—28no—
1033C4×D17—28no—
1034C4×D17—28no—
1035C4×D17—28no—
1036C4×D17—44no—
1037C4×D17—44no—
1038C4×D17—44no—
1039C4×D17—44no—
1040C4×D17—44no—
1041C4×D17—44no—
1042C4×D17—44no—
1043C4×D17—44no—
1044C4×D17—44no—
1045C4×D17—44no—
1046C4×D17—44no—
1047C22×#121—171no—
1048C22×#121—171no—
1049C22×#120—171no—
1050C22×#120—171no—
1051C22×C4×D4—171no—
1052C23×C22⋊C4—171no—
1053#2424—171no—
1054#2424—171no—
1055#2424—171no—
1056#2424—171no—
1057#2424—171no—
1058#2424—171no—
1059#2424—171no—
1060#2424—171no—
1061#2424—171no—
1062#2424—171no—
1063#2424—171no—
1064#2424—171no—
1065#2424—171no—
1066#2424—171no—
1067#2424—171no—
1068#2424D1711yescharacteristic, direct product factor
1069C2×#396—171no—
1070C2×#394—171no—
1071C2×#394—171no—
1072C2×#392—171no—
1073C2×#390—171no—
1074C2×#388—171no—
1075C2×#386—171no—
1076C2×#386—171no—
1077C2×#385—171no—
1078C22×C17—22no—
1079C22×C17—22no—
1080C22×C17—22no—
1081C22×C17—22no—
1082C22×C17—22no—
1083C22×C17—22no—
1084C22×C17—22no—
1085C22×C17—22no—
1086C22×C17—22no—
1087C22×C17—22no—
1088C22×C17—22no—
1089C22×C17—22no—
1090C22×C17—22no—
1091C22×C17—22no—
1092C22×C17—22no—
1093C22×C17—416no—
1094C22×C17—41no—
1095C22×C17—41no—
1096C22×C17—41no—
1097C22×C17—41no—
1098C22×C17—41no—
1099C22×C17—41no—
1100C22×C17—41no—
1101C22×C17—41no—
1102C22×C17—41no—
1103C22×C17—41no—
1104C22×C17—41no—
1105C22×C17—41no—
1106C22×C17—41no—
1107C22×C17—41no—
1108C22×C17—41no—
1109C22×C17—41no—
1110C22×C17—41no—
1111C22×C17—41no—
1112C22×C17—41no—
1113C22×C17C2×#12114yescomplemented
1114C22×C17C23×D411yescharacteristic
1115C22×C17C23×D411yescharacteristic
1116C22×C17C23×D411yescharacteristic
1117C22×C17C22×#4111yescharacteristic
1118C22×C17C22×#4111yescharacteristic
1119C22×C17C2×H(5,𝔽2)11yescharacteristic
1120C22×C17C2×H(5,𝔽2)11yescharacteristic
1121C2×D17—22no—
1122C2×D17—22no—
1123C2×D17—22no—
1124C2×D17—22no—
1125C2×D17—22no—
1126C2×D17—22no—
1127C2×D17—232no—
1128C2×D17—22no—
1129C2×D17—22no—
1130C2×D17—22no—
1131C2×D17—22no—
1132C2×D17—22no—
1133C2×D17—22no—
1134C2×D17—22no—
1135C2×D17—22no—
1136C2×D17—22no—
1137C2×D17—416no—
1138C2×D17—416no—
1139C2×D17—416no—
1140C2×D17—41no—
1141C2×D17—41no—
1142C2×D17—41no—
1143C2×D17—41no—
1144C2×D17—41no—
1145C2×D17—41no—
1146C2×D17—41no—
1147C2×D17—41no—
1148C2×D17—41no—
1149C2×D17—41no—
1150C2×D17—41no—
1151C2×D17—41no—
1152C2×D17—416no—
1153C2×D17—416no—
1154C2×D17—416no—
1155C2×D17—41no—
1156C2×D17—41no—
1157C2×D17—41no—
1158C2×D17—41no—
1159C2×D17—41no—
1160C2×D17—41no—
1161C2×D17—41no—
1162C2×D17—88no—
1163C2×D17C2×#12114yes—
1164C2×D17C2×#12114yescomplemented
1165C2×D17#52514yes—
1166C2×D17#53814yes—
1167C2×D17D4214yes—
1168C2×D17D4214yes—
1169C2×D17#54614yes—
1170C2×D17#54614yes—
1171C4×C17—22no—
1172C4×C17—22no—
1173C4×C17—22no—
1174C4×C17—22no—
1175C4×C17—22no—
1176C4×C17—41no—
1177C4×C17—41no—
1178C4×C17—41no—
1179C4×C17—41no—
1180C4×C17—41no—
1181Dic17—22no—
1182Dic17—22no—
1183Dic17—22no—
1184Dic17—22no—
1185Dic17—22no—
1186Dic17—41no—
1187Dic17—41no—
1188Dic17—41no—
1189Dic17—41no—
1190Dic17—41no—
1191C26—171no—
1192C23×D4—171no—
1193C23×D4—171no—
1194C23×D4—171no—
1195C23×D4—171no—
1196C23×D4—171no—
1197C23×D4—171no—
1198C23×D4—171no—
1199C24×C4—171no—
1200C24×C4—171no—
1201C24×C4—171no—
1202C2×#121—171no—
1203C2×#121—171no—
1204C2×#121—171no—
1205C2×#121—171no—
1206C2×#121—171no—
1207C2×#121—171no—
1208C2×#121—171no—
1209C2×#121—171no—
1210C2×#121—171no—
1211C2×#121—171no—
1212C2×#121—171no—
1213C2×#121—171no—
1214C2×#121—171no—
1215C2×#121—171no—
1216C2×#121—348no—
1217C2×#121—348no—
1218C2×#121C2×D1711yescharacteristic, complemented
1219C2×#121C2×D1711yescharacteristic, complemented
1220C2×#120—171no—
1221C2×#120—171no—
1222C2×#120—171no—
1223C2×#120—171no—
1224C2×#120—171no—
1225C2×#120—171no—
1226C2×#120—171no—
1227C2×#120—171no—
1228C2×#120—171no—
1229C2×#120—171no—
1230C2×#120—171no—
1231C2×#120—171no—
1232C2×#120—171no—
1233C2×#120—171no—
1234C2×#120—348no—
1235C2×#120—348no—
1236C2×#120C2×D1711yescharacteristic, complemented
1237C2×#120C2×D1711yescharacteristic, complemented
1238C2×C4×D4—171no—
1239C2×C4×D4—171no—
1240C2×C4×D4—171no—
1241C2×C4×D4—171no—
1242C2×C4×D4—171no—
1243C2×C4×D4—171no—
1244C2×C4×D4—171no—
1245C2×C4×D4—348no—
1246C2×C4×D4C2×D1711yescharacteristic, complemented
1247C22×C4⋊C4—171no—
1248C22×C4⋊C4—171no—
1249C22×C4⋊C4—171no—
1250C22×C4⋊C4—171no—
1251C22×C22⋊C4—171no—
1252C22×C22⋊C4—171no—
1253C22×C22⋊C4—171no—
1254C22×C22⋊C4—171no—
1255C22×C22⋊C4—171no—
1256C22×C22⋊C4—171no—
1257C22×C22⋊C4—171no—
1258C22×C22⋊C4—171no—
1259C22×C22⋊C4—171no—
1260C22×C22⋊C4—171no—
1261C22×C22⋊C4—171no—
1262C22×C22⋊C4—171no—
1263C22×C22⋊C4—171no—
1264C22×C22⋊C4—171no—
1265C22×C22⋊C4—171no—
1266C22×C22⋊C4—171no—
1267C22×C22⋊C4—171no—
1268C22×C22⋊C4—171no—
1269C22×C22⋊C4—171no—
1270C22×C22⋊C4—171no—
1271C22×C22⋊C4—171no—
1272C22×C22⋊C4—171no—
1273C22×C22⋊C4—348no—
1274C22×C22⋊C4C2×D1711yescharacteristic, complemented
1275C22×C42—171no—
1276#396—171no—
1277#396—171no—
1278#396—171no—
1279#396—171no—
1280#396—171no—
1281#396—171no—
1282#396—171no—
1283#396C2×D1711yescharacteristic, complemented
1284#394—171no—
1285#394—171no—
1286#394—171no—
1287#394—171no—
1288#394—171no—
1289#394—171no—
1290#394—171no—
1291#394—171no—
1292#394—171no—
1293#394—171no—
1294#394—171no—
1295#394—171no—
1296#394—171no—
1297#394—171no—
1298#394C2×D1711yescharacteristic, complemented
1299#394C2×D1711yescharacteristic, complemented
1300#392—171no—
1301#392—171no—
1302#392—171no—
1303#392—171no—
1304#392—171no—
1305#392—171no—
1306#392—171no—
1307#392C2×D1711yescharacteristic, complemented
1308#390—171no—
1309#390—171no—
1310#390—171no—
1311#390—171no—
1312#390—171no—
1313#390—171no—
1314#390—171no—
1315#390C2×D1711yescharacteristic, complemented
1316#388—171no—
1317#388—171no—
1318#388—171no—
1319#388—171no—
1320#388—171no—
1321#388—171no—
1322#388—171no—
1323#388C2×D1711yescharacteristic, complemented
1324#386—171no—
1325#386—171no—
1326#386—171no—
1327#386—171no—
1328#386—171no—
1329#386—171no—
1330#386—171no—
1331#386—171no—
1332#386—171no—
1333#386—171no—
1334#386—171no—
1335#386—171no—
1336#386—171no—
1337#386—171no—
1338#386C2×D1711yescharacteristic, complemented
1339#386C2×D1711yescharacteristic, complemented
1340#385—171no—
1341#385—171no—
1342#385—171no—
1343#385—171no—
1344#385—171no—
1345#385—171no—
1346#385—171no—
1347#385C2×D1711yescharacteristic, complemented
1348C2×#95—171no—
1349C2×#95—171no—
1350C2×#95—171no—
1351C2×#95—171no—
1352C2×C17—24no—
1353C2×C17—42no—
1354C2×C17—42no—
1355C2×C17—42no—
1356C2×C17—81no—
1357C2×C17C22×#12111yescharacteristic
1358C2×C17C2×#52511yescharacteristic
1359C2×C17C2×#53811yescharacteristic
1360C2×C17C2×D4211yescharacteristic
1361C2×C17C2×D4211yescharacteristic
1362C2×C17C2×#54611yescharacteristic
1363C2×C17C2×#54611yescharacteristic
1364D17—24no—
1365D17—42no—
1366D17—42no—
1367D17—42no—
1368D17—81no—
1369D17#242418yesdirect product factor
1370C25—171no—
1371C25—171no—
1372C25—171no—
1373C25—171no—
1374C25—171no—
1375C25—171no—
1376C25—171no—
1377C25—171no—
1378C25—344no—
1379C25—344no—
1380C25—344no—
1381C25—344no—
1382C25—344no—
1383C25—682no—
1384C25—682no—
1385C25C22×D1711yescharacteristic
1386C22×D4—171no—
1387C22×D4—171no—
1388C22×D4—178no—
1389C22×D4—171no—
1390C22×D4—171no—
1391C22×D4—171no—
1392C22×D4—171no—
1393C22×D4—171no—
1394C22×D4—171no—
1395C22×D4—171no—
1396C22×D4—171no—
1397C22×D4—171no—
1398C22×D4—171no—
1399C22×D4—171no—
1400C22×D4—171no—
1401C22×D4—171no—
1402C22×D4—171no—
1403C22×D4—171no—
1404C22×D4—171no—
1405C22×D4—171no—
1406C22×D4—171no—
1407C22×D4—171no—
1408C22×D4—344no—
1409C22×D4—344no—
1410C22×D4—344no—
1411C22×D4—344no—
1412C22×D4—344no—
1413C22×D4—344no—
1414C22×D4—344no—
1415C22×D4—344no—
1416C22×D4—344no—
1417C22×D4—344no—
1418C22×D4—344no—
1419C22×D4—344no—
1420C22×D4—344no—
1421C22×D4—344no—
1422C22×D4—344no—
1423C22×D4—682no—
1424C22×D4—682no—
1425C22×D4—682no—
1426C22×D4—682no—
1427C22×D4—682no—
1428C22×D4C22×D1711yescharacteristic
1429C22×D4C22×D1711yescharacteristic
1430C22×D4C22×D1711yescharacteristic
1431C22×D4C22×D1711yescharacteristic
1432C22×D4C22×D1711yescharacteristic
1433C22×D4C22×D1711yescharacteristic
1434C22×D4C22×D1711yescharacteristic, complemented
1435C23×C4—171no—
1436C23×C4—171no—
1437C23×C4—171no—
1438C23×C4—171no—
1439C23×C4—171no—
1440C23×C4—171no—
1441C23×C4—171no—
1442C23×C4—171no—
1443C23×C4—171no—
1444C23×C4—171no—
1445C23×C4—171no—
1446C23×C4—171no—
1447C23×C4—171no—
1448C23×C4—171no—
1449C23×C4—171no—
1450C23×C4—171no—
1451C23×C4—171no—
1452C23×C4—171no—
1453C23×C4—171no—
1454C23×C4—344no—
1455C23×C4—344no—
1456C23×C4—344no—
1457C23×C4—344no—
1458C23×C4—344no—
1459C23×C4—344no—
1460C23×C4—682no—
1461C23×C4—682no—
1462C23×C4—682no—
1463C23×C4C22×D1711yescharacteristic
1464C23×C4C22×D1711yescharacteristic
1465C23×C4C22×D1711yescharacteristic, complemented
1466#121—24no—
1467#121—24no—
1468#121—344no—
1469#121—344no—
1470#121—344no—
1471#121—344no—
1472#121—344no—
1473#121—344no—
1474#121—344no—
1475#121—344no—
1476#121—344no—
1477#121—344no—
1478#121—344no—
1479#121—344no—
1480#121—344no—
1481#121—344no—
1482#120—24no—
1483#120—24no—
1484#120—344no—
1485#120—344no—
1486#120—344no—
1487#120—344no—
1488#120—344no—
1489#120—344no—
1490#120—344no—
1491#120—344no—
1492#120—344no—
1493#120—344no—
1494#120—344no—
1495#120—344no—
1496#120—344no—
1497#120—344no—
1498C4×D4—24no—
1499C4×D4—344no—
1500C4×D4—344no—
1501C4×D4—344no—
1502C4×D4—344no—
1503C4×D4—344no—
1504C4×D4—344no—
1505C4×D4—344no—
1506C2×C4⋊C4—171no—
1507C2×C4⋊C4—171no—
1508C2×C4⋊C4—171no—
1509C2×C4⋊C4—171no—
1510C2×C4⋊C4—171no—
1511C2×C4⋊C4—171no—
1512C2×C4⋊C4—171no—
1513C2×C4⋊C4—171no—
1514C2×C4⋊C4—171no—
1515C2×C4⋊C4—171no—
1516C2×C4⋊C4—171no—
1517C2×C4⋊C4—171no—
1518C2×C4⋊C4—344no—
1519C2×C4⋊C4—344no—
1520C2×C4⋊C4—344no—
1521C2×C4⋊C4—682no—
1522C2×C4⋊C4C22×D1711yescharacteristic, complemented
1523C2×C4⋊C4C22×D1711yescharacteristic, complemented
1524C2×C4⋊C4C22×D1711yescharacteristic, complemented
1525C2×C4⋊C4C22×D1711yescharacteristic, complemented
1526C2×C22⋊C4—24no—
1527C2×C22⋊C4—171no—
1528C2×C22⋊C4—171no—
1529C2×C22⋊C4—171no—
1530C2×C22⋊C4—171no—
1531C2×C22⋊C4—171no—
1532C2×C22⋊C4—171no—
1533C2×C22⋊C4—178no—
1534C2×C22⋊C4—178no—
1535C2×C22⋊C4—171no—
1536C2×C22⋊C4—171no—
1537C2×C22⋊C4—171no—
1538C2×C22⋊C4—171no—
1539C2×C22⋊C4—171no—
1540C2×C22⋊C4—171no—
1541C2×C22⋊C4—171no—
1542C2×C22⋊C4—171no—
1543C2×C22⋊C4—171no—
1544C2×C22⋊C4—171no—
1545C2×C22⋊C4—171no—
1546C2×C22⋊C4—171no—
1547C2×C22⋊C4—171no—
1548C2×C22⋊C4—171no—
1549C2×C22⋊C4—171no—
1550C2×C22⋊C4—171no—
1551C2×C22⋊C4—171no—
1552C2×C22⋊C4—171no—
1553C2×C22⋊C4—171no—
1554C2×C22⋊C4—171no—
1555C2×C22⋊C4—171no—
1556C2×C22⋊C4—171no—
1557C2×C22⋊C4—171no—
1558C2×C22⋊C4—171no—
1559C2×C22⋊C4—171no—
1560C2×C22⋊C4—171no—
1561C2×C22⋊C4—171no—
1562C2×C22⋊C4—171no—
1563C2×C22⋊C4—171no—
1564C2×C22⋊C4—171no—
1565C2×C22⋊C4—171no—
1566C2×C22⋊C4—171no—
1567C2×C22⋊C4—171no—
1568C2×C22⋊C4—171no—
1569C2×C22⋊C4—171no—
1570C2×C22⋊C4—171no—
1571C2×C22⋊C4—171no—
1572C2×C22⋊C4—171no—
1573C2×C22⋊C4—171no—
1574C2×C22⋊C4—344no—
1575C2×C22⋊C4—344no—
1576C2×C22⋊C4—344no—
1577C2×C22⋊C4—344no—
1578C2×C22⋊C4—344no—
1579C2×C22⋊C4—344no—
1580C2×C22⋊C4—344no—
1581C2×C22⋊C4—344no—
1582C2×C22⋊C4—344no—
1583C2×C22⋊C4—344no—
1584C2×C22⋊C4—344no—
1585C2×C22⋊C4—344no—
1586C2×C22⋊C4—344no—
1587C2×C22⋊C4—344no—
1588C2×C22⋊C4—344no—
1589C2×C22⋊C4—344no—
1590C2×C22⋊C4—344no—
1591C2×C22⋊C4—344no—
1592C2×C22⋊C4—344no—
1593C2×C22⋊C4—682no—
1594C2×C22⋊C4C22×D1711yescharacteristic
1595C2×C22⋊C4C22×D1711yescharacteristic
1596C2×C22⋊C4C22×D1711yescharacteristic
1597C2×C22⋊C4C22×D1711yescharacteristic
1598C2×C22⋊C4C22×D1711yescharacteristic
1599C2×C22⋊C4C22×D1711yescharacteristic
1600C2×C22⋊C4C22×D1711yescharacteristic
1601C2×C22⋊C4C22×D1711yescharacteristic
1602C2×C22⋊C4C22×D1711yescharacteristic
1603C2×C22⋊C4C22×D1711yescharacteristic
1604C2×C22⋊C4C22×D1711yescharacteristic, complemented
1605C2×C22⋊C4C22×D1711yescharacteristic, complemented
1606C2×C22⋊C4C22×D1711yescharacteristic, complemented
1607C2×C22⋊C4C22×D1711yescharacteristic, complemented
1608C2×C22⋊C4C22×D1711yescharacteristic, complemented
1609C2×C42—171no—
1610C2×C42—171no—
1611C2×C42—171no—
1612C2×C42—344no—
1613C2×C42C22×D1711yescharacteristic, complemented
1614#95—171no—
1615#95—171no—
1616#95—171no—
1617#95—171no—
1618#95—171no—
1619#95—171no—
1620#95—171no—
1621#95—171no—
1622#95—171no—
1623#95—171no—
1624#95—171no—
1625#95—171no—
1626#95C22×D1711yescharacteristic, complemented
1627#95C22×D1711yescharacteristic, complemented
1628#95C22×D1711yescharacteristic, complemented
1629#95C22×D1711yescharacteristic, complemented
1630C17C2×#242411yescharacteristic, complemented, Sylow
1631C24—22no—
1632C24—22no—
1633C24—22no—
1634C24—22no—
1635C24—22no—
1636C24—41no—
1637C24—41no—
1638C24—171no—
1639C24—174no—
1640C24—174no—
1641C24—174no—
1642C24—171no—
1643C24—174no—
1644C24—174no—
1645C24—174no—
1646C24—171no—
1647C24—171no—
1648C24—171no—
1649C24—171no—
1650C24—342no—
1651C24—342no—
1652C24—342no—
1653C24—342no—
1654C24—342no—
1655C24—342no—
1656C24—342no—
1657C24—342no—
1658C24—342no—
1659C24—342no—
1660C24—342no—
1661C24—342no—
1662C24—342no—
1663C24—342no—
1664C24—342no—
1665C24—342no—
1666C24—342no—
1667C24—342no—
1668C24—342no—
1669C24—342no—
1670C24—342no—
1671C24—342no—
1672C24—342no—
1673C24—342no—
1674C24—342no—
1675C24—342no—
1676C24—342no—
1677C24—342no—
1678C24—342no—
1679C24—342no—
1680C24—342no—
1681C24—342no—
1682C24—342no—
1683C24—342no—
1684C24—342no—
1685C24—342no—
1686C24—342no—
1687C24—342no—
1688C24—342no—
1689C24—3432no—
1690C24—342no—
1691C24—342no—
1692C24—342no—
1693C24—342no—
1694C24—342no—
1695C24—681no—
1696C24—681no—
1697C24—681no—
1698C24—681no—
1699C24—681no—
1700C24—681no—
1701C24—6816no—
1702C24—6816no—
1703C24—6816no—
1704C24—6816no—
1705C24—6816no—
1706C24—6816no—
1707C24C23×D1711yescharacteristic
1708C24C23×D1711yescharacteristic
1709C24C23×D1711yescharacteristic
1710C24C23×D1711yescharacteristic
1711C24C23×D1711yescharacteristic
1712C2×D4—22no—
1713C2×D4—22no—
1714C2×D4—22no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—22no—
1718C2×D4—22no—
1719C2×D4—22no—
1720C2×D4—22no—
1721C2×D4—22no—
1722C2×D4—22no—
1723C2×D4—22no—
1724C2×D4—22no—
1725C2×D4—22no—
1726C2×D4—22no—
1727C2×D4—41no—
1728C2×D4—41no—
1729C2×D4—41no—
1730C2×D4—41no—
1731C2×D4—41no—
1732C2×D4—174no—
1733C2×D4—174no—
1734C2×D4—174no—
1735C2×D4—342no—
1736C2×D4—342no—
1737C2×D4—342no—
1738C2×D4—342no—
1739C2×D4—342no—
1740C2×D4—342no—
1741C2×D4—342no—
1742C2×D4—342no—
1743C2×D4—342no—
1744C2×D4—342no—
1745C2×D4—342no—
1746C2×D4—342no—
1747C2×D4—342no—
1748C2×D4—342no—
1749C2×D4—342no—
1750C2×D4—342no—
1751C2×D4—342no—
1752C2×D4—342no—
1753C2×D4—3432no—
1754C2×D4—342no—
1755C2×D4—342no—
1756C2×D4—342no—
1757C2×D4—342no—
1758C2×D4—342no—
1759C2×D4—342no—
1760C2×D4—342no—
1761C2×D4—342no—
1762C2×D4—342no—
1763C2×D4—342no—
1764C2×D4—342no—
1765C2×D4—342no—
1766C2×D4—342no—
1767C2×D4—342no—
1768C2×D4—342no—
1769C2×D4—342no—
1770C2×D4—342no—
1771C2×D4—342no—
1772C2×D4—342no—
1773C2×D4—342no—
1774C2×D4—342no—
1775C2×D4—342no—
1776C2×D4—342no—
1777C2×D4—342no—
1778C2×D4—342no—
1779C2×D4—342no—
1780C2×D4—342no—
1781C2×D4—681no—
1782C2×D4—681no—
1783C2×D4—681no—
1784C2×D4—681no—
1785C2×D4—681no—
1786C2×D4—6816no—
1787C2×D4—6816no—
1788C2×D4—6816no—
1789C2×D4—681no—
1790C2×D4—681no—
1791C2×D4—681no—
1792C2×D4—681no—
1793C2×D4—681no—
1794C2×D4—681no—
1795C2×D4—681no—
1796C2×D4—681no—
1797C2×D4—681no—
1798C2×D4—681no—
1799C2×D4—6816no—
1800C2×D4—6816no—
1801C2×D4—6816no—
1802C2×D4D4×D1714yescomplemented
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—41no—
1810C22×C4—41no—
1811C22×C4—41no—
1812C22×C4—171no—
1813C22×C4—171no—
1814C22×C4—171no—
1815C22×C4—171no—
1816C22×C4—171no—
1817C22×C4—174no—
1818C22×C4—174no—
1819C22×C4—174no—
1820C22×C4—174no—
1821C22×C4—174no—
1822C22×C4—171no—
1823C22×C4—171no—
1824C22×C4—171no—
1825C22×C4—171no—
1826C22×C4—171no—
1827C22×C4—342no—
1828C22×C4—342no—
1829C22×C4—342no—
1830C22×C4—342no—
1831C22×C4—342no—
1832C22×C4—342no—
1833C22×C4—342no—
1834C22×C4—342no—
1835C22×C4—342no—
1836C22×C4—342no—
1837C22×C4—342no—
1838C22×C4—342no—
1839C22×C4—342no—
1840C22×C4—342no—
1841C22×C4—342no—
1842C22×C4—342no—
1843C22×C4—342no—
1844C22×C4—342no—
1845C22×C4—342no—
1846C22×C4—342no—
1847C22×C4—342no—
1848C22×C4—342no—
1849C22×C4—342no—
1850C22×C4—342no—
1851C22×C4—342no—
1852C22×C4—342no—
1853C22×C4—342no—
1854C22×C4—342no—
1855C22×C4—342no—
1856C22×C4—342no—
1857C22×C4—342no—
1858C22×C4—342no—
1859C22×C4—342no—
1860C22×C4—342no—
1861C22×C4—342no—
1862C22×C4—342no—
1863C22×C4—342no—
1864C22×C4—342no—
1865C22×C4—342no—
1866C22×C4—342no—
1867C22×C4—342no—
1868C22×C4—342no—
1869C22×C4—342no—
1870C22×C4—681no—
1871C22×C4—681no—
1872C22×C4—681no—
1873C22×C4—681no—
1874C22×C4—681no—
1875C22×C4—681no—
1876C22×C4—6816no—
1877C22×C4—6816no—
1878C22×C4—6816no—
1879C22×C4—681no—
1880C22×C4—681no—
1881C22×C4—681no—
1882C22×C4C23×D1711yescharacteristic
1883C22×C4C23×D1711yescharacteristic
1884C22×C4C23×D1711yescharacteristic
1885C22×C4C23×D1711yescharacteristic
1886C22×C4C23×D1711yescharacteristic
1887C22×C4C23×D1711yescharacteristic
1888C22×C4C23×D1711yescharacteristic
1889C22×C4C23×D1711yescharacteristic
1890C22×C4C23×D1711yescharacteristic
1891C22×C4C23×D1711yescharacteristic
1892C4⋊C4—22no—
1893C4⋊C4—22no—
1894C4⋊C4—22no—
1895C4⋊C4—41no—
1896C4⋊C4—342no—
1897C4⋊C4—342no—
1898C4⋊C4—342no—
1899C4⋊C4—342no—
1900C4⋊C4—342no—
1901C4⋊C4—342no—
1902C4⋊C4—342no—
1903C4⋊C4—342no—
1904C4⋊C4—342no—
1905C4⋊C4—681no—
1906C4⋊C4—681no—
1907C4⋊C4—681no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—41no—
1921C22⋊C4—174no—
1922C22⋊C4—174no—
1923C22⋊C4—174no—
1924C22⋊C4—174no—
1925C22⋊C4—174no—
1926C22⋊C4—174no—
1927C22⋊C4—342no—
1928C22⋊C4—342no—
1929C22⋊C4—342no—
1930C22⋊C4—342no—
1931C22⋊C4—342no—
1932C22⋊C4—342no—
1933C22⋊C4—342no—
1934C22⋊C4—342no—
1935C22⋊C4—342no—
1936C22⋊C4—342no—
1937C22⋊C4—342no—
1938C22⋊C4—342no—
1939C22⋊C4—342no—
1940C22⋊C4—342no—
1941C22⋊C4—342no—
1942C22⋊C4—342no—
1943C22⋊C4—342no—
1944C22⋊C4—342no—
1945C22⋊C4—342no—
1946C22⋊C4—342no—
1947C22⋊C4—342no—
1948C22⋊C4—342no—
1949C22⋊C4—342no—
1950C22⋊C4—342no—
1951C22⋊C4—342no—
1952C22⋊C4—342no—
1953C22⋊C4—342no—
1954C22⋊C4—342no—
1955C22⋊C4—342no—
1956C22⋊C4—342no—
1957C22⋊C4—342no—
1958C22⋊C4—342no—
1959C22⋊C4—342no—
1960C22⋊C4—342no—
1961C22⋊C4—342no—
1962C22⋊C4—342no—
1963C22⋊C4—681no—
1964C22⋊C4—681no—
1965C22⋊C4—681no—
1966C22⋊C4D4×D1714yescomplemented
1967C22⋊C4D4×D1714yescomplemented
1968C42—22no—
1969C42—342no—
1970C42—342no—
1971C42—342no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—21no—
1976C23—28no—
1977C23—21no—
1978C23—21no—
1979C23—21no—
1980C23—21no—
1981C23—21no—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—44no—
2003C23—44no—
2004C23—44no—
2005C23—44no—
2006C23—44no—
2007C23—44no—
2008C23—172no—
2009C23—172no—
2010C23—172no—
2011C23—172no—
2012C23—172no—
2013C23—172no—
2014C23—172no—
2015C23—1716no—
2016C23—172no—
2017C23—172no—
2018C23—172no—
2019C23—172no—
2020C23—172no—
2021C23—172no—
2022C23—348no—
2023C23—348no—
2024C23—348no—
2025C23—348no—
2026C23—348no—
2027C23—348no—
2028C23—348no—
2029C23—348no—
2030C23—348no—
2031C23—348no—
2032C23—348no—
2033C23—348no—
2034C23—348no—
2035C23—348no—
2036C23—348no—
2037C23—348no—
2038C23—348no—
2039C23—348no—
2040C23—341no—
2041C23—341no—
2042C23—341no—
2043C23—341no—
2044C23—341no—
2045C23—341no—
2046C23—341no—
2047C23—341no—
2048C23—341no—
2049C23—341no—
2050C23—341no—
2051C23—341no—
2052C23—341no—
2053C23—341no—
2054C23—341no—
2055C23—341no—
2056C23—341no—
2057C23—341no—
2058C23—341no—
2059C23—341no—
2060C23—341no—
2061C23—341no—
2062C23—341no—
2063C23—341no—
2064C23—341no—
2065C23—341no—
2066C23—341no—
2067C23—341no—
2068C23—341no—
2069C23—684no—
2070C23—684no—
2071C23—684no—
2072C23—684no—
2073C23—684no—
2074C23—684no—
2075C23—684no—
2076C23—684no—
2077C23—684no—
2078C23—684no—
2079C23—684no—
2080C23—684no—
2081C23—684no—
2082C23—684no—
2083C23—684no—
2084C23—684no—
2085C23—684no—
2086C23—684no—
2087C23—684no—
2088C23—684no—
2089C23—684no—
2090C23—684no—
2091C23—684no—
2092C23—684no—
2093C23—684no—
2094C23—684no—
2095C23—684no—
2096C23—684no—
2097C23—684no—
2098C23—684no—
2099C23—684no—
2100C23—684no—
2101C23—684no—
2102C23—684no—
2103C23—68128no—
2104C23—684no—
2105C23—684no—
2106C23—684no—
2107C23C2×D4×D1712yes—
2108C23C2×D4×D1712yes—
2109C23C2×D4×D1712yes—
2110C23C2×D4×D1712yes—
2111C23#41×D1712yes—
2112C23#41×D1712yes—
2113C23C24×D1711yescharacteristic
2114D4—28no—
2115D4—44no—
2116D4—44no—
2117D4—44no—
2118D4—44no—
2119D4—44no—
2120D4—44no—
2121D4—348no—
2122D4—348no—
2123D4—348no—
2124D4—684no—
2125D4—684no—
2126D4—684no—
2127D4—684no—
2128D4—684no—
2129D4—684no—
2130D4—684no—
2131D4—684no—
2132D4—684no—
2133D4—684no—
2134D4—684no—
2135D4—684no—
2136D4—684no—
2137D4—684no—
2138D4—684no—
2139D4—684no—
2140D4—684no—
2141D4—684no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—172no—
2171C2×C4—172no—
2172C2×C4—172no—
2173C2×C4—172no—
2174C2×C4—172no—
2175C2×C4—348no—
2176C2×C4—348no—
2177C2×C4—348no—
2178C2×C4—348no—
2179C2×C4—348no—
2180C2×C4—341no—
2181C2×C4—341no—
2182C2×C4—341no—
2183C2×C4—341no—
2184C2×C4—341no—
2185C2×C4—341no—
2186C2×C4—341no—
2187C2×C4—341no—
2188C2×C4—341no—
2189C2×C4—341no—
2190C2×C4—341no—
2191C2×C4—341no—
2192C2×C4—341no—
2193C2×C4—341no—
2194C2×C4—341no—
2195C2×C4—341no—
2196C2×C4—341no—
2197C2×C4—341no—
2198C2×C4—341no—
2199C2×C4—341no—
2200C2×C4—341no—
2201C2×C4—341no—
2202C2×C4—341no—
2203C2×C4—341no—
2204C2×C4—341no—
2205C2×C4—684no—
2206C2×C4—684no—
2207C2×C4—684no—
2208C2×C4—684no—
2209C2×C4—684no—
2210C2×C4—684no—
2211C2×C4—684no—
2212C2×C4—684no—
2213C2×C4—684no—
2214C2×C4—684no—
2215C2×C4—684no—
2216C2×C4—684no—
2217C2×C4—684no—
2218C2×C4—684no—
2219C2×C4C2×D4×D1712yes—
2220C2×C4C2×D4×D1712yes—
2221C2×C4C2×D4×D1712yes—
2222C2×C4C2×D4×D1712yes—
2223C2×C4C2×D4×D1712yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—22no—
2233C22—22no—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—22no—
2238C22—22no—
2239C22—416no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—41no—
2244C22—41no—
2245C22—41no—
2246C22—41no—
2247C22—41no—
2248C22—41no—
2249C22—41no—
2250C22—41no—
2251C22—41no—
2252C22—41no—
2253C22—41no—
2254C22—41no—
2255C22—41no—
2256C22—41no—
2257C22—41no—
2258C22—41no—
2259C22—174no—
2260C22—174no—
2261C22—174no—
2262C22—174no—
2263C22—174no—
2264C22—174no—
2265C22—174no—
2266C22—174no—
2267C22—3432no—
2268C22—342no—
2269C22—342no—
2270C22—342no—
2271C22—342no—
2272C22—342no—
2273C22—342no—
2274C22—342no—
2275C22—342no—
2276C22—342no—
2277C22—342no—
2278C22—342no—
2279C22—342no—
2280C22—342no—
2281C22—342no—
2282C22—342no—
2283C22—6816no—
2284C22—6816no—
2285C22—6816no—
2286C22—6816no—
2287C22—6816no—
2288C22—6816no—
2289C22—681no—
2290C22—681no—
2291C22—681no—
2292C22—681no—
2293C22—681no—
2294C22—681no—
2295C22—681no—
2296C22—681no—
2297C22—681no—
2298C22—681no—
2299C22—681no—
2300C22—681no—
2301C22—681no—
2302C22—681no—
2303C22—681no—
2304C22—681no—
2305C22—681no—
2306C22—681no—
2307C22—681no—
2308C22—1368no—
2309C22#121×D1714yescomplemented
2310C22C22×D4×D1711yescharacteristic
2311C22C22×D4×D1711yescharacteristic
2312C22C22×D4×D1711yescharacteristic
2313C22C2×#41×D1711yescharacteristic
2314C22C2×#41×D1711yescharacteristic
2315C22H(5,𝔽2)×D1711yescharacteristic
2316C22H(5,𝔽2)×D1711yescharacteristic
2317C4—22no—
2318C4—22no—
2319C4—22no—
2320C4—22no—
2321C4—22no—
2322C4—41no—
2323C4—41no—
2324C4—41no—
2325C4—41no—
2326C4—41no—
2327C4—342no—
2328C4—342no—
2329C4—342no—
2330C4—342no—
2331C4—342no—
2332C4—681no—
2333C4—681no—
2334C4—681no—
2335C4—681no—
2336C4—681no—
2337C2—24no—
2338C2—42no—
2339C2—42no—
2340C2—42no—
2341C2—81no—
2342C2—178no—
2343C2—344no—
2344C2—682no—
2345C2—682no—
2346C2—682no—
2347C2—1361no—
2348C2C2×#121×D1711yescharacteristic
2349C2D17×#52511yescharacteristic
2350C2D17×#53811yescharacteristic
2351C2D42×D1711yescharacteristic
2352C2D42×D1711yescharacteristic
2353C2D17×#54611yescharacteristic
2354C2D17×#54611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2424C2
hypercenter#2424D17
hypocenterC17C2×#2424
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#121×D17C2semidirect
2. C2×#121×D17C2semidirect
3. C2×#120×D17C2semidirect
4. C2×#120×D17C2semidirect
5. C2×C4×D4×D17C2semidirect
6. C22×C22⋊C4×D17C2semidirect
7. #14532327C2semidirect
8. #14532326C2semidirect
9. #14532325C2semidirect
10. #14532324C2semidirect
11. #14532323C2semidirect
12. #14532322C2semidirect
13. #14532321C2semidirect
14. #14532320C2semidirect
15. #14532319C2semidirect
16. #14532318C2semidirect
17. #14532317C2semidirect
18. #14532316C2semidirect
19. #14532315C2semidirect
20. #14532314C2semidirect
21. #14532313C2semidirect
22. D17×#396C2semidirect
23. D17×#394C2semidirect
24. D17×#394C2semidirect
25. D17×#392C2semidirect
26. D17×#390C2semidirect
27. D17×#388C2semidirect
28. D17×#386C2semidirect
29. D17×#386C2semidirect
30. D17×#385C2semidirect
31. C17×#2424C2semidirect
39. C22×D4×D17C22semidirect
42. C23×C4×D17C22semidirect
43. C2×#10587581C22semidirect
44. C2×#10587581C22semidirect
45. C2×#10587616C22semidirect
46. C2×#10587616C22semidirect
47. C2×#10587570C22semidirect
48. C2×#10587570C22semidirect
49. C2×#10587570C22semidirect
50. C2×#10587570C22semidirect
51. C2×#10587625C22semidirect
52. C2×#10587625C22semidirect
53. C2×#10587625C22semidirect
54. C2×#10587625C22semidirect
55. C2×#10587624C22semidirect
56. C2×#10587624C22semidirect
59. C2×#10587568C22semidirect
60. C2×#10587568C22semidirect
61. C2×#10587568C22semidirect
62. C2×#10587568C22semidirect
63. C2×#10587568C22semidirect
64. C2×#10587568C22semidirect
65. C2×#10587639C22semidirect
66. C2×#10587639C22semidirect
67. C2×#10587623C22semidirect
68. C2×#10587623C22semidirect
69. C2×#10587623C22semidirect
70. C2×#10587623C22semidirect
71. C2×#10587623C22semidirect
72. C2×#10587623C22semidirect
75. C2×C4×D68C22semidirect
76. C2×D4×Dic17C22semidirect
77. C2×#10587579C22semidirect
78. C2×C4×C22⋊D17C22semidirect
79. C2×C4×C22⋊D17C22semidirect
80. C2×#10587567C22semidirect
81. C2×#10587567C22semidirect
83. C2×C4⋊C4×D17C22semidirect
84. C2×C4⋊C4×D17C22semidirect
85. C2×C4⋊C4×D17C22semidirect
86. C2×C4⋊C4×D17C22semidirect
87. C22×C22⋊Dic17C22semidirect
88. C22×#63227C22semidirect
89. C22×#63227C22semidirect
101. C2×C22⋊C4×D17C22semidirect
102. C2×C22⋊C4×D17C22semidirect
103. C2×C22⋊C4×D17C22semidirect
104. C2×C22⋊C4×D17C22semidirect
105. C2×C22⋊C4×D17C22semidirect
106. C2×C22⋊C4×D17C22semidirect
107. C2×C22⋊C4×D17C22semidirect
108. C2×C22⋊C4×D17C22semidirect
109. C2×C22⋊C4×D17C22semidirect
110. C2×C42×D17C22semidirect
111. #11762733C22semidirect
112. #11762732C22semidirect
113. #11762732C22semidirect
114. #11762732C22semidirect
115. #11762731C22semidirect
116. #11762731C22semidirect
117. #11762731C22semidirect
118. #11762727C22semidirect
119. #11762727C22semidirect
120. #11762726C22semidirect
121. #11762726C22semidirect
122. #11762725C22semidirect
123. #11762725C22semidirect
124. #11762725C22semidirect
125. #11762725C22semidirect
126. #11762724C22semidirect
127. #11762724C22semidirect
128. #11762724C22semidirect
129. #11762724C22semidirect
130. #11762723C22semidirect
131. #11762723C22semidirect
132. #11762719C22semidirect
133. #11762718C22semidirect
134. #11762718C22semidirect
135. #11762718C22semidirect
136. #11762717C22semidirect
137. #11762717C22semidirect
138. #11762717C22semidirect
139. #11762712C22semidirect
140. #11762711C22semidirect
141. #11762710C22semidirect
142. #11762709C22semidirect
143. #11762709C22semidirect
144. #11762709C22semidirect
145. #11762709C22semidirect
146. #11762703C22semidirect
147. #11762702C22semidirect
148. #11762701C22semidirect
149. #11762700C22semidirect
150. #11762699C22semidirect
151. #11762698C22semidirect
152. #11762697C22semidirect
153. #11762689C22semidirect
154. #11762689C22semidirect
155. #11762688C22semidirect
156. #11762688C22semidirect
157. #11762687C22semidirect
158. #11762687C22semidirect
159. #11762687C22semidirect
160. #11762687C22semidirect
161. #11762686C22semidirect
162. #11762686C22semidirect
163. #11762685C22semidirect
164. #11762685C22semidirect
165. #11762685C22semidirect
166. #11762685C22semidirect
167. #11762684C22semidirect
168. #11762683C22semidirect
169. #11762683C22semidirect
170. #11762682C22semidirect
171. #11762681C22semidirect
172. #11762680C22semidirect
173. #11762680C22semidirect
174. #95×D17C22semidirect
175. #95×D17C22semidirect
176. #95×D17C22semidirect
177. #95×D17C22semidirect
178. C2×C17×#121C22semidirect
179. C2×C17×#121C22semidirect
180. C2×C17×#120C22semidirect
181. C2×C17×#120C22semidirect
182. C2×C4×D4×C17C22semidirect
183. C22×C22⋊C4×C17C22semidirect
184. C17×#396C22semidirect
185. C17×#394C22semidirect
186. C17×#394C22semidirect
187. C17×#392C22semidirect
188. C17×#390C22semidirect
189. C17×#388C22semidirect
190. C17×#386C22semidirect
191. C17×#386C22semidirect
192. C17×#385C22semidirect
215. C22×D4×C17C23semidirect
218. C23×C4×C17C23semidirect
231. C22×C22⋊D17C23semidirect
232. C22×C22⋊D17C23semidirect
235. C23×Dic17C23semidirect
256. C2×D4×D17D4semidirect
263. C22×D68C23semidirect
287. C22×C4×D17C23semidirect
288. C22×C4×D17C23semidirect
294. C2×C4⋊C4×C17C23semidirect
295. C2×C4⋊C4×C17C23semidirect
296. C2×C4⋊C4×C17C23semidirect
297. C2×C4⋊C4×C17C23semidirect
309. C2×C22⋊C4×C17C23semidirect
310. C2×C22⋊C4×C17C23semidirect
311. C2×C22⋊C4×C17C23semidirect
312. C2×C22⋊C4×C17C23semidirect
313. C2×C22⋊C4×C17C23semidirect
314. C2×C42×C17C23semidirect
328. C2×C22⋊Dic17C23semidirect
329. C2×C22⋊Dic17C23semidirect
330. C2×C22⋊Dic17C23semidirect
331. C2×C22⋊Dic17C23semidirect
332. C2×C22⋊Dic17C23semidirect
372. C2×#63227C23semidirect
373. C2×#63227C23semidirect
374. C2×#63227C23semidirect
375. C2×#63227C23semidirect
376. C2×#63227C23semidirect
377. C2×#63227C23semidirect
378. C2×#63227C23semidirect
379. C2×#63227C23semidirect
380. C2×#63227C23semidirect
381. C2×#63227C23semidirect
382. C2×C4⋊Dic17C23semidirect
383. C2×C4⋊Dic17C23semidirect
384. C2×C4⋊Dic17C23semidirect
385. C2×C4⋊Dic17C23semidirect
386. C2×#63225C23semidirect
387. C2×#63225C23semidirect
388. C2×#63225C23semidirect
389. C2×#63225C23semidirect
390. C2×#63225C23semidirect
391. C2×#63225C23semidirect
392. C2×#63225C23semidirect
393. C2×#63225C23semidirect
394. C2×C4×Dic17C23semidirect
395. C2×C4×Dic17C23semidirect
396. C2×C4×Dic17C23semidirect
433. C22⋊C4×D17D4semidirect
434. C22⋊C4×D17D4semidirect
437. C17×#95C23semidirect
438. C17×#95C23semidirect
439. C17×#95C23semidirect
440. C17×#95C23semidirect
441. #10587502C23semidirect
442. #10587502C23semidirect
443. #10587502C23semidirect
444. #10587502C23semidirect
445. #10587502C23semidirect
446. #10587502C23semidirect
447. #10587502C23semidirect
448. #10587502C23semidirect
449. #10587502C23semidirect
450. #10587502C23semidirect
451. #10587502C23semidirect
452. #10587502C23semidirect
554. C2×D4×C17C2×D4semidirect
614. C2×C22⋊D17C2×D4semidirect
615. C2×C22⋊D17C2×D4semidirect
662. C2×D68C2×D4semidirect
731. C22⋊C4×C17C2×D4semidirect
732. C22⋊C4×C17C2×D4semidirect
747. C22⋊Dic17C2×D4semidirect
748. C22⋊Dic17C2×D4semidirect
775. #63227C2×D4semidirect
776. #63227C2×D4semidirect
777. #63227C2×D4semidirect
778. #63227C2×D4semidirect
923. C22×D17#121semidirect
1068. #2424D17direct (N × H)
1113. C22×C17C2×#121semidirect
1164. C2×D17C2×#121semidirect
1218. C2×#121C2×D17semidirect
1219. C2×#121C2×D17semidirect
1236. C2×#120C2×D17semidirect
1237. C2×#120C2×D17semidirect
1246. C2×C4×D4C2×D17semidirect
1274. C22×C22⋊C4C2×D17semidirect
1283. #396C2×D17semidirect
1298. #394C2×D17semidirect
1299. #394C2×D17semidirect
1307. #392C2×D17semidirect
1315. #390C2×D17semidirect
1323. #388C2×D17semidirect
1338. #386C2×D17semidirect
1339. #386C2×D17semidirect
1347. #385C2×D17semidirect
1369. D17#2424direct (N × H)
1434. C22×D4C22×D17semidirect
1465. C23×C4C22×D17semidirect
1522. C2×C4⋊C4C22×D17semidirect
1523. C2×C4⋊C4C22×D17semidirect
1524. C2×C4⋊C4C22×D17semidirect
1525. C2×C4⋊C4C22×D17semidirect
1604. C2×C22⋊C4C22×D17semidirect
1605. C2×C22⋊C4C22×D17semidirect
1606. C2×C22⋊C4C22×D17semidirect
1607. C2×C22⋊C4C22×D17semidirect
1608. C2×C22⋊C4C22×D17semidirect
1613. C2×C42C22×D17semidirect
1626. #95C22×D17semidirect
1627. #95C22×D17semidirect
1628. #95C22×D17semidirect
1629. #95C22×D17semidirect
1630. C17C2×#2424semidirect
1802. C2×D4D4×D17semidirect
1966. C22⋊C4D4×D17semidirect
1967. C22⋊C4D4×D17semidirect
2309. C22#121×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D172
C2×#120×D172
C2×C4×D4×D172
C22×C22⋊C4×D172
#145323272
#145323262
#145323252
#145323242
#145323232
#145323222
#145323212
#145323202
#145323192
#145323182
#145323172
#145323162
#145323152
#145323142
#145323132
D17×#3962
D17×#3942
D17×#3922
D17×#3902
D17×#3882
D17×#3862
D17×#3852
C17×#24242
C2×#242417