Finite Group Databasebeta

← #17941642

Subgroups — #17941642

Order 4352.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543107C212yesmaximal, complemented
2#14543098C212yesmaximal, complemented
3#14543084C212yesmaximal, complemented
4#14543075C212yesmaximal, complemented
5#14543059C211yesmaximal, characteristic, complemented
6#14543040C212yesmaximal, complemented
7#14543027C211yesmaximal, characteristic, complemented
8#14543017C211yesmaximal, characteristic, complemented
9#14543009C212yesmaximal, complemented
10#14542986C214yesmaximal, complemented
11#14542973C214yesmaximal, complemented
12#14542958C212yesmaximal, complemented
13#14542949C212yesmaximal, complemented
14#14542941C212yesmaximal, complemented
15#14542937C212yesmaximal, complemented
16#14542924C212yesmaximal, complemented
17#14542919C212yesmaximal, complemented
18#14542393C212yesmaximal, complemented
19#14542387C212yesmaximal, complemented
20#14542345C212yesmaximal, complemented
21#14542341C212yesmaximal, complemented
22#14542273C212yesmaximal, complemented
23#14542268C212yesmaximal, complemented
24#14542204C214yesmaximal, complemented
25#14542195C214yesmaximal, complemented
26#14542171C212yesmaximal, complemented
27#14542116C211yesmaximal, characteristic, complemented
28#14542115C211yesmaximal, characteristic, complemented
29D17×#525C211yesmaximal, characteristic, complemented
30D17×#525C212yesmaximal, complemented
31C17×#3540C211yesmaximal, characteristic, complemented
32C22×#63256C2211yescharacteristic, complemented
33C22×#63254C2211yescharacteristic, complemented
34C2×#41×D17C2211yescharacteristic, complemented
35C2×#41×D17C2212yescomplemented
36C23×C4×D17C2211yescharacteristic, complemented
37#11763562C2212yescomplemented
38#11763561C2214yescomplemented
39#11763559C2212yescomplemented
40#11763559C2214yescomplemented
41#11763556C2214yescomplemented
42#11763554C2214yescomplemented
43#11763554C2214yescomplemented
44#11763553C2214yescomplemented
45#11763553C2214yescomplemented
46#11763553C2214yescomplemented
47#11763552C2212yescomplemented
48#11763548C2214yescomplemented
49#11763548C2214yescomplemented
50#11763548C2212yescomplemented
51#11763548C2212yescomplemented
52#11763548C2214yescomplemented
53#11763547C2214yescomplemented
54#11763546C2212yescomplemented
55#11763543C2212yescomplemented
56#11763529C2212yescomplemented
57#11763524C2212yescomplemented
58#11763520C2212yescomplemented
59#11763519C2212yescomplemented
60#11763519C2214yescomplemented
61#11763513C2214yescomplemented
62#11763510C2214yescomplemented
63#11763509C2214yescomplemented
64#11763509C2214yescomplemented
65#11763508C2214yescomplemented
66#11763506C2212yescomplemented
67#11763506C2212yescomplemented
68#11763503C2212yescomplemented
69#11763503C2212yescomplemented
70#11763500C2214yescomplemented
71#11763498C2212yescomplemented
72#11763498C2214yescomplemented
73#11763498C2212yescomplemented
74#11763493C2212yescomplemented
75#11763493C2212yescomplemented
76#11763489C2214yescomplemented
77#11763489C2212yescomplemented
78#11763489C2214yescomplemented
79#11763487C2212yescomplemented
80#11763487C2212yescomplemented
81#11763487C2214yescomplemented
82#11763484C2214yescomplemented
83#11763484C2214yescomplemented
84#11763483C2214yescomplemented
85#11763478C2212yescomplemented
86#11763477C2212yescomplemented
87Q8×C22⋊D17C2212yescomplemented
88#11763472C2212yescomplemented
89#11763471C2212yescomplemented
90#11763468C2212yescomplemented
91#11763467C2212yescomplemented
92#11763464C2212yescomplemented
93#11763462C2212yescomplemented
94#11763461C2212yescomplemented
95#11763461C2214yescomplemented
96#11763458C2212yescomplemented
97#11763457C2214yescomplemented
98#11763456C2214yescomplemented
99#11763455C2214yescomplemented
100#11763455C2212yescomplemented
101#11763454C2212yescomplemented
102#11763452C2214yescomplemented
103#11763452C2214yescomplemented
104#11763452C2214yescomplemented
105#11763452C2214yescomplemented
106#11763452C2212yescomplemented
107#11763451C2214yescomplemented
108#11763449C2214yescomplemented
109#11763449C2214yescomplemented
110#11763448C2214yescomplemented
111#11763444C2212yescomplemented
112#11763443C2214yescomplemented
113#11763443C2212yescomplemented
114D4×C22⋊D17C2212yescomplemented
115#11763441C2212yescomplemented
116#11763441C2214yescomplemented
117#11763436C2214yescomplemented
118#11763434C2214yescomplemented
119#11763433C2212yescomplemented
120#11763431C2214yescomplemented
121#11763430C2212yescomplemented
122#11763429C2214yescomplemented
123#11763429C2214yescomplemented
124#11763428C2212yescomplemented
125#11763419C2212yescomplemented
126#11763417C2212yescomplemented
127#11763414C2214yescomplemented
128#11763412C2212yescomplemented
129#11763411C2214yescomplemented
130#11763411C2214yescomplemented
131#11763410C2212yescomplemented
132#11763410C2214yescomplemented
133#11763405C2214yescomplemented
134#11763402C2214yescomplemented
135#11763402C2214yescomplemented
136#11763401C2214yescomplemented
137#11763401C2214yescomplemented
138#11763400C2214yescomplemented
139#11763400C2214yescomplemented
140#11763400C2214yescomplemented
141#11763398C2214yescomplemented
142#11763398C2214yescomplemented
143#11763397C2214yescomplemented
144#11763395C2214yescomplemented
145#11763393C2214yescomplemented
146#11763393C2214yescomplemented
147#11763393C2214yescomplemented
148#11763393C2214yescomplemented
149#11763393C2214yescomplemented
150#11763391C2214yescomplemented
151#11763391C2214yescomplemented
152#11763389C2212yescomplemented
153#11763389C2214yescomplemented
154#11763389C2212yescomplemented
155#11763388C2212yescomplemented
156#11763388C2212yescomplemented
157#11763385C2211yescharacteristic, complemented
158#11763384C2212yescomplemented
159#11763383C2211yescharacteristic, complemented
160#11763380C2211yescharacteristic, complemented
161#11763379C2212yescomplemented
162#11763378C2211yescharacteristic, complemented
163#11763377C2214yescomplemented
164#11763377C2212yescomplemented
165#11763376C2211yescharacteristic, complemented
166#11763375C2214yescomplemented
167#11763373C2211yescharacteristic, complemented
168#11763372C2212yescomplemented
169#11763370C2212yescomplemented
170#11763370C2212yescomplemented
171#11763369C2212yescomplemented
172#11763369C2214yescomplemented
173#11763369C2212yescomplemented
174#11763369C2214yescomplemented
175#11763367C2214yescomplemented
176#11763364C2212yescomplemented
177#11763360C2212yescomplemented
178#11763358C2212yescomplemented
179#11763358C2214yescomplemented
180#11763358C2212yescomplemented
181#11763358C2212yescomplemented
182#11763357C2212yescomplemented
183#11763354C2214yescomplemented
184#11763345C2214yescomplemented
185#11763342C2214yescomplemented
186#11763342C2214yescomplemented
187#11763342C2214yescomplemented
188#11763340C2214yescomplemented
189#11763338C2214yescomplemented
190#11763338C2214yescomplemented
191#11763338C2214yescomplemented
192#11763338C2214yescomplemented
193#11763336C2214yescomplemented
194#11763322C2212yescomplemented
195#11763322C2212yescomplemented
196#11763322C2212yescomplemented
197#11763322C2212yescomplemented
198#11763322C2214yescomplemented
199#11763321C2212yescomplemented
200#11763321C2211yescharacteristic, complemented
201#11763320C2211yescharacteristic, complemented
202#11763320C2212yescomplemented
203#11763319C2212yescomplemented
204#11763319C2212yescomplemented
205#11763319C2212yescomplemented
206#11763319C2212yescomplemented
207#11763319C2214yescomplemented
208#11763318C2212yescomplemented
209#11763318C2214yescomplemented
210#11763318C2214yescomplemented
211#11763318C2212yescomplemented
212#11763317C2211yescharacteristic, complemented
213#11763317C2211yescharacteristic, complemented
214#11763317C2214yescomplemented
215#11763317C2212yescomplemented
216#11763317C2214yescomplemented
217#11763317C2212yescomplemented
218#11763316C2211yescharacteristic
219#11763316C2212yescomplemented
220#11763315C2211yescharacteristic, complemented
221#11763315C2214yescomplemented
222#11763315C2211yescharacteristic, complemented
223#11763315C2212yescomplemented
224#11763315C2212yescomplemented
225#11763315C2214yescomplemented
226#123×D17C2211yescharacteristic, complemented
227#123×D17C2211yescharacteristic, complemented
228#123×D17C2214yescomplemented
229C22⋊Q8×D17C2212yescomplemented
230C22⋊Q8×D17C2212yescomplemented
231C22⋊Q8×D17C2212yescomplemented
232#121×D17C2212yescomplemented
233#121×D17C2212yescomplemented
234#121×D17C2212yescomplemented
235#120×D17C2211yescharacteristic, complemented
236#120×D17C2214yescomplemented
237#120×D17C2211yescharacteristic, complemented
238C4×#63256C2214yescomplemented
239C4×#63256C2212yescomplemented
240#11763277C2214yescomplemented
241C4×#63254C2212yescomplemented
242C2×#10587567C2214yescomplemented
243C4×D4×D17C2212yescomplemented
244C4×D4×D17C2212yescomplemented
245C4×D4×D17C2214yescomplemented
246C4×D4×D17C2214yescomplemented
247C4×D4×D17C2214yescomplemented
248#117×D17C2212yescomplemented
249#117×D17C2211yescharacteristic, complemented
250#117×D17C2211yescharacteristic, complemented
251#117×D17C2211yescharacteristic, complemented
252C17×H(3,𝔽4)C2212yescomplemented
253C17×#560C2212yescomplemented
254C17×#559C2212yescomplemented
255C17×#556C2212yescomplemented
256C17×#555C2212yescomplemented
257C17×#551C2212yescomplemented
258C17×#548C2212yescomplemented
259C17×#546C2212yescomplemented
260C17×#542C2212yescomplemented
261C17×#542C2214yescomplemented
262C17×#538C2214yescomplemented
263C17×#536C2211yescharacteristic, complemented
264C17×#535C2211yescharacteristic, complemented
265C17×#525C2212yescomplemented
266C17×#525C2211yescharacteristic, complemented
267C24×D17C2311yescharacteristic
268C2×#41×C17C2312yes—
269C2×#41×C17C2311yescharacteristic
270C22×Q8×C17C2311yescharacteristic, complemented
271C22×D4×C17C2311yescharacteristic, complemented
272C23×C4×C17C2311yescharacteristic
273C22×C22⋊D17C2314yes—
274C22×C22⋊D17C2312yes—
275C23×Dic17C2311yescharacteristic
276C23×Dic17C2312yescomplemented
277#41×D17—44no—
278#41×D17—48no—
279C2×#63256—44no—
280C2×#63256C2312yes—
281C2×#63256C2312yes—
282C2×#63256C2314yes—
283C2×#63256C2311yescharacteristic
284C2×#63256C2312yescomplemented
285C2×#63256C2312yescomplemented
286C2×Q8×D17C2312yes—
287C2×Q8×D17C2311yescharacteristic
288C2×#63254—44no—
289C2×#63254C2312yes—
290C2×#63254C2312yes—
291C2×#63254C2311yescharacteristic
292C2×#63254C2311yescharacteristic
293C2×#63254C2314yes—
294C2×#63254C2311yescharacteristic
295C2×#63254C2312yescomplemented
296C2×#63254C2312yescomplemented
297C2×D4×D17C2312yes—
298C2×D4×D17C2314yes—
299C2×D4×D17C2312yes—
300C2×D4×D17C2314yes—
301C2×D4×D17C2314yes—
302C2×D4×D17C2311yescharacteristic
303C2×D4×D17C2311yescharacteristic
304C2×D4×D17C2314yes—
305C2×D4×D17C2311yescharacteristic
306C2×D4×D17C2312yes—
307C2×#63252C2314yes—
308C2×#63252C2314yes—
309C2×#63252C2312yes—
310C2×#63252C2311yescharacteristic
311C2×#63252C2311yescharacteristic
312C2×#63252C2311yescharacteristic
313C22×D68C2312yes—
314C22×D68C2311yescharacteristic, complemented
315C22×C4×D17—44no—
316C22×C4×D17C2311yescharacteristic
317C22×C4×D17C2312yes—
318C22×C4×D17C2311yescharacteristic
319C22×C4×D17C2311yescharacteristic
320C22×C4×D17C2311yescharacteristic
321C22×C4×D17C2314yes—
322C22×C4×D17C2312yes—
323C22×C4×D17C2311yescharacteristic
324C22×C4×D17C2312yes—
325C22×C4×D17C2312yes—
326C22×C4×D17C2311yescharacteristic
327C22×C4×D17C2312yescomplemented
328C22×Dic34C2311yescharacteristic, complemented
329C17×C4⋊Q8C2312yescomplemented
330C17×C4⋊Q8C2312yescomplemented
331C17×#127C2312yes—
332C17×#126C2314yes—
333C17×#126C2314yescomplemented
334C17×#126C2314yescomplemented
335C17×#124C2312yes—
336C17×#124C2314yes—
337C17×#124C2314yes—
338C17×#124C2314yes—
339C17×#124C2314yes—
340C17×#124C2312yescomplemented
341C17×#124C2314yescomplemented
342C17×#124C2312yescomplemented
343C17×#123C2311yescharacteristic
344C17×#123C2312yes—
345C17×#123C2314yes—
346C17×#123C2311yescharacteristic
347C17×#123C2314yes—
348C17×#123C2314yescomplemented
349C17×#123C2312yescomplemented
350C17×C22⋊Q8C2312yes—
351C17×C22⋊Q8C2312yes—
352C17×C22⋊Q8C2312yes—
353C17×C22⋊Q8C2314yescomplemented
354C17×C22⋊Q8C2312yescomplemented
355C17×C22⋊Q8C2314yescomplemented
356C17×#121C2314yes—
357C17×#121C2312yes—
358C17×#121C2312yes—
359C17×#121C2312yes—
360C17×#121C2314yes—
361C17×#121C2314yes—
362C17×#121C2312yescomplemented
363C17×#120C2311yescharacteristic
364C17×#120C2314yes—
365C17×#120C2311yescharacteristic
366C17×#120C2312yes—
367C17×#120C2314yes—
368C17×#120C2312yescomplemented
369C4×Q8×C17C2312yescomplemented
370C4×Q8×C17C2314yescomplemented
371C4×D4×C17C2312yes—
372C4×D4×C17C2314yes—
373C4×D4×C17C2314yes—
374C4×D4×C17C2312yes—
375C4×D4×C17C2312yescomplemented
376C4×D4×C17C2314yescomplemented
377C17×#117C2312yes—
378C17×#117C2311yescharacteristic
379C17×#117C2314yescomplemented
380C17×#117C2311yescharacteristic, complemented
381C17×#117C2311yescharacteristic, complemented
382C2×C22⋊C4×C17C2314yescomplemented
383#10587639C2311yescharacteristic
384#10587639C2311yescharacteristic
385#10587639C2314yes—
386#10587639C2312yes—
387#10587639C2312yescomplemented
388#10587639C2314yescomplemented
389#10587633C2314yes—
390#10587633C2312yes—
391#10587633C2312yescomplemented
392#10587632C2314yes—
393#10587632C2312yes—
394#10587632C2314yes—
395#10587632C2314yes—
396#10587632C2312yes—
397#10587632C2312yes—
398#10587632C2312yescomplemented
399#10587632C2314yescomplemented
400#10587632C2314yescomplemented
401#10587632C2314yescomplemented
402Q8×Dic17C2312yescomplemented
403Q8×Dic17C2314yescomplemented
404#10587630C2312yescomplemented
405#10587630C2314yescomplemented
406#10587630C2312yescomplemented
407#10587630C2312yescomplemented
408#10587626C2314yes—
409#10587626C2314yes—
410#10587626C2312yes—
411#10587626C2312yes—
412#10587626C2312yescomplemented
413#10587625C2314yes—
414#10587625C2314yes—
415#10587625C2314yes—
416#10587625C2314yes—
417#10587625C2314yes—
418#10587625C2314yes—
419#10587625C2312yes—
420#10587625C2314yes—
421#10587625C2312yes—
422#10587625C2314yes—
423#10587625C2314yescomplemented
424#10587624C2314yes—
425#10587624C2314yes—
426#10587624C2312yes—
427#10587624C2314yes—
428#10587624C2314yes—
429#10587624C2314yes—
430#10587624C2314yes—
431#10587624C2312yes—
432#10587624C2312yes—
433#10587624C2312yescomplemented
434#10587624C2314yescomplemented
435#10587623C2314yes—
436#10587623C2314yes—
437#10587623C2311yescharacteristic
438#10587623C2312yes—
439#10587623C2314yes—
440#10587623C2311yescharacteristic
441#10587623C2314yes—
442#10587623C2314yes—
443#10587623C2312yes—
444#10587623C2312yes—
445#10587623C2314yes—
446#10587623C2314yescomplemented
447#10587623C2312yescomplemented
448#10587622C2314yes—
449#10587622C2312yes—
450#10587622C2312yescomplemented
451#10587621C2314yes—
452#10587621C2314yes—
453#10587621C2312yes—
454#10587621C2311yescharacteristic
455#10587621C2311yescharacteristic
456#10587621C2314yes—
457#10587621C2314yescomplemented
458#10587621C2312yescomplemented
459D4×Dic17C2312yes—
460D4×Dic17C2314yes—
461D4×Dic17C2314yes—
462D4×Dic17C2312yes—
463D4×Dic17C2312yescomplemented
464D4×Dic17C2314yescomplemented
465#10587616C2312yes—
466#10587616C2312yes—
467#10587616C2312yes—
468#10587616C2314yes—
469#10587616C2312yescomplemented
470#10587616C2314yescomplemented
471#10587616C2314yescomplemented
472#10587615C2311yescharacteristic
473#10587615C2311yescharacteristic
474#10587615C2314yes—
475#10587615C2312yes—
476#10587615C2314yescomplemented
477#10587615C2314yescomplemented
478#10587615C2312yescomplemented
479C4×C22⋊D17C2314yes—
480C4×C22⋊D17C2312yes—
481C4×C22⋊D17C2312yes—
482C4×C22⋊D17C2312yes—
483C4×C22⋊D17C2314yes—
484C4×C22⋊D17C2312yes—
485C4×C22⋊D17C2314yes—
486C4×C22⋊D17C2314yes—
487C4×C22⋊D17C2314yes—
488C4×C22⋊D17C2314yes—
489C4×C22⋊D17C2314yescomplemented
490C2×#63227C2314yes—
491#10587612C2312yes—
492#10587612C2311yescharacteristic
493#10587612C2311yescharacteristic, complemented
494#10587612C2311yescharacteristic, complemented
495#10587610C2312yes—
496#10587610C2312yes—
497#10587610C2312yes—
498#10587610C2314yescomplemented
499#10587610C2312yescomplemented
500#10587610C2314yescomplemented
501C2×#63225C2314yescomplemented
502C2×C4×Dic17C2314yescomplemented
503#10587584C2314yes—
504#10587584C2314yescomplemented
505#10587584C2314yescomplemented
506#10587583C2314yes—
507#10587583C2312yes—
508#10587583C2312yes—
509#10587583C2312yes—
510#10587583C2312yescomplemented
511#10587583C2314yescomplemented
512#10587582C2314yes—
513#10587582C2312yes—
514#10587582C2314yes—
515#10587582C2312yes—
516#10587582C2314yes—
517#10587582C2314yes—
518#10587582C2314yescomplemented
519#10587582C2314yescomplemented
520#10587582C2314yescomplemented
521#10587582C2314yescomplemented
522#10587582C2314yescomplemented
523#10587581C2312yes—
524#10587581C2314yes—
525#10587581C2312yes—
526#10587581C2312yes—
527#10587581C2314yes—
528#10587581C2312yescomplemented
529#10587581C2314yescomplemented
530#10587580C2314yes—
531#10587580C2314yes—
532#10587580C2314yes—
533#10587580C2314yes—
534#10587580C2312yes—
535#10587580C2312yes—
536#10587580C2314yes—
537#10587580C2314yescomplemented
538#10587580C2314yescomplemented
539#10587580C2314yescomplemented
540#10587579C2314yes—
541#10587579C2314yes—
542#10587579C2314yes—
543#10587579C2312yes—
544#10587579C2312yes—
545#10587579C2314yes—
546#10587579C2312yescomplemented
547#10587579C2314yescomplemented
548#10587578C2314yes—
549#10587578C2312yes—
550#10587578C2312yes—
551#10587578C2312yes—
552#10587578C2314yescomplemented
553#10587578C2314yescomplemented
554#10587578C2314yescomplemented
555C4⋊C4×D17C2312yes—
556C4⋊C4×D17C2312yes—
557C4⋊C4×D17C2312yes—
558C4⋊C4×D17C2312yes—
559C4⋊C4×D17C2314yes—
560C4⋊C4×D17C2312yes—
561C4⋊C4×D17C2314yes—
562C4⋊C4×D17C2314yescomplemented
563C4⋊C4×D17C2312yescomplemented
564C4⋊C4×D17C2312yescomplemented
565#10587576C2312yescomplemented
566#10587576C2312yescomplemented
567#10587576C2314yescomplemented
568#10587576C2314yescomplemented
569#10587575C2314yescomplemented
570#10587575C2314yescomplemented
571#10587575C2314yescomplemented
572#10587575C2314yescomplemented
573#10587574C2314yescomplemented
574#10587573C2312yescomplemented
575#10587573C2314yescomplemented
576#10587573C2314yescomplemented
577#10587572C2314yes—
578#10587572C2311yescharacteristic
579#10587572C2311yescharacteristic
580#10587572C2312yes—
581#10587572C2314yes—
582#10587572C2314yescomplemented
583#10587572C2312yescomplemented
584#10587572C2314yescomplemented
585#10587571C2314yes—
586#10587571C2314yes—
587#10587571C2314yes—
588#10587571C2314yes—
589#10587571C2314yescomplemented
590#10587571C2314yescomplemented
591#10587570C2314yes—
592#10587570C2314yes—
593#10587570C2314yes—
594#10587570C2314yes—
595#10587570C2314yes—
596#10587570C2314yes—
597#10587570C2314yes—
598#10587570C2312yes—
599#10587570C2314yes—
600#10587570C2312yes—
601#10587570C2314yes—
602#10587570C2314yes—
603#10587570C2314yes—
604#10587570C2314yes—
605#10587570C2314yes—
606#10587570C2314yes—
607#10587570C2314yescomplemented
608#10587570C2314yescomplemented
609#10587570C2314yescomplemented
610#10587570C2314yescomplemented
611#10587570C2314yescomplemented
612#10587569C2314yes—
613#10587569C2314yes—
614#10587569C2314yes—
615#10587569C2314yes—
616#10587569C2314yes—
617#10587569C2314yes—
618#10587569C2314yes—
619#10587569C2314yes—
620#10587569C2314yes—
621#10587569C2314yes—
622#10587569C2314yes—
623#10587569C2312yes—
624#10587569C2312yes—
625#10587569C2314yescomplemented
626#10587569C2314yescomplemented
627#10587569C2314yescomplemented
628#10587569C2314yescomplemented
629#10587569C2314yescomplemented
630#10587568C2314yes—
631#10587568C2314yes—
632#10587568C2314yes—
633#10587568C2314yes—
634#10587568C2311yescharacteristic
635#10587568C2311yescharacteristic
636#10587568C2314yes—
637#10587568C2312yes—
638#10587568C2312yes—
639#10587568C2312yes—
640#10587568C2314yes—
641#10587568C2314yes—
642#10587568C2312yescomplemented
643#10587567C2314yes—
644#10587567C2314yes—
645#10587567C2314yes—
646#10587567C2314yes—
647#10587567C2312yes—
648#10587567C2312yes—
649#10587567C2314yes—
650#10587567C2314yes—
651#10587567C2314yes—
652#10587567C2314yes—
653#10587567C2312yes—
654#10587567C2312yes—
655#10587567C2314yescomplemented
656#10587567C2314yescomplemented
657#10587567C2314yescomplemented
658#10587567C2314yescomplemented
659#10587567C2314yescomplemented
660#10587567C2314yescomplemented
661#10587567C2314yescomplemented
662C22⋊C4×D17C2312yes—
663C22⋊C4×D17C2314yes—
664C22⋊C4×D17C2314yes—
665C22⋊C4×D17C2312yes—
666C22⋊C4×D17C2312yes—
667C22⋊C4×D17C2312yes—
668C22⋊C4×D17C2314yes—
669C22⋊C4×D17C2314yes—
670C22⋊C4×D17C2312yes—
671C22⋊C4×D17C2312yes—
672C22⋊C4×D17C2311yescharacteristic
673C22⋊C4×D17C2311yescharacteristic
674C22⋊C4×D17C2314yes—
675C22⋊C4×D17C2314yes—
676C22⋊C4×D17C2314yescomplemented
677#10587565C2314yes—
678#10587565C2314yes—
679#10587565C2314yes—
680#10587565C2314yes—
681#10587565C2314yes—
682#10587565C2314yescomplemented
683#10587565C2314yescomplemented
684#10587565C2314yescomplemented
685#10587565C2314yescomplemented
686#10587565C2314yescomplemented
687#10587565C2314yescomplemented
688#10587564C2312yes—
689#10587564C2314yes—
690#10587564C2314yes—
691#10587564C2312yes—
692#10587564C2314yescomplemented
693#10587564C2314yescomplemented
694#10587564C2314yescomplemented
695#10587564C2314yescomplemented
696#10587564C2314yescomplemented
697#10587563C2311yescharacteristic
698#10587563C2311yescharacteristic
699#10587563C2314yes—
700#10587563C2312yescomplemented
701#10587563C2312yescomplemented
702#10587563C2314yescomplemented
703#10587562C2314yes—
704#10587562C2314yescomplemented
705#10587562C2314yescomplemented
706#10587561C2312yes—
707#10587561C2312yescomplemented
708#10587561C2314yescomplemented
709#10587561C2312yescomplemented
710#10587560C2312yes—
711C4×D68C2312yes—
712C4×D68C2312yes—
713C4×D68C2314yes—
714C4×D68C2314yes—
715C4×D68C2314yes—
716C4×D68C2314yes—
717C4×D68C2314yes—
718C4×D68C2314yes—
719C4×D68C2312yescomplemented
720C4×D68C2314yescomplemented
721#10587558C2314yes—
722#10587558C2312yes—
723#10587558C2314yes—
724#10587558C2312yes—
725#10587558C2312yes—
726#10587558C2314yescomplemented
727C42×D17C2312yes—
728C42×D17C2314yes—
729C42×D17C2312yescomplemented
730C42×D17C2312yescomplemented
731C42×D17C2314yescomplemented
732#10587556C2314yescomplemented
733#10587556C2314yescomplemented
734#10587556C2314yescomplemented
735#10587556C2314yescomplemented
736#10587555C2312yescomplemented
737#10587555C2312yescomplemented
738C4×Dic34C2312yescomplemented
739C24×C17C2411yescharacteristic
740C24×C17C2412yes—
741C23×D17—42no—
742C23×D17—44no—
743C23×D17C2412yes—
744C23×D17C2411yescharacteristic
745C23×D17C2411yescharacteristic
746C23×D17C2412yes—
747C23×D17C2411yescharacteristic
748C23×D17C2414yes—
749C23×D17C2411yescharacteristic
750C23×D17C2412yes—
751#41×C17—42no—
752#41×C17—44no—
753C2×Q8×C17—42no—
754C2×Q8×C17C2412yes—
755C2×Q8×C17C2411yescharacteristic
756C2×Q8×C17C2412yes—
757C2×Q8×C17C2414yes—
758C2×D4×C17—42no—
759C2×D4×C17C2412yes—
760C2×D4×C17C2411yescharacteristic
761C2×D4×C17C2411yescharacteristic
762C2×D4×C17C2414yes—
763C2×D4×C17C2414yes—
764C2×D4×C17C2412yes—
765C2×D4×C17C2411yescharacteristic
766C2×D4×C17C2412yes—
767C2×D4×C17C2414yes—
768C2×D4×C17C2414yes—
769C2×D4×C17C2412yes—
770C22×C4×C17—42no—
771C22×C4×C17C2411yescharacteristic
772C22×C4×C17C2412yes—
773C22×C4×C17C2411yescharacteristic
774C22×C4×C17C2411yescharacteristic
775C22×C4×C17C2412yes—
776C22×C4×C17C2414yes—
777C22×C4×C17C2414yes—
778C22×C4×C17C2411yescharacteristic
779C22×C4×C17C2412yes—
780C2×C22⋊D17—44no—
781C2×C22⋊D17—48no—
782C2×C22⋊D17C2414yes—
783C2×C22⋊D17C2414yes—
784C2×C22⋊D17C2412yes—
785C2×C22⋊D17C2412yes—
786C2×C22⋊D17C2411yescharacteristic
787C2×C22⋊D17C2414yes—
788C2×C22⋊D17C2411yescharacteristic
789C2×C22⋊D17C2411yescharacteristic
790C2×C22⋊D17C2411yescharacteristic
791C2×C22⋊D17C2411yescharacteristic
792C2×C22⋊D17C2414yes—
793C2×C22⋊D17C2411yescharacteristic
794C2×C22⋊D17C2414yes—
795C2×C22⋊D17C2412yes—
796C2×C22⋊D17C2412yes—
797C2×C22⋊D17C2414yes—
798C2×C22⋊D17C2414yes—
799C2×C22⋊D17C2414yes—
800C2×C22⋊D17C2414yes—
801C2×C22⋊D17C2414yes—
802C2×C22⋊D17C2414yes—
803C2×C22⋊D17C2414yes—
804C22×Dic17—42no—
805C22×Dic17—44no—
806C22×Dic17C2412yes—
807C22×Dic17C2411yescharacteristic
808C22×Dic17C2411yescharacteristic
809C22×Dic17C2414yes—
810C22×Dic17C2411yescharacteristic
811C22×Dic17C2412yes—
812C22×Dic17C2411yescharacteristic
813C22×Dic17C2412yes—
814C22×Dic17C2414yes—
815C22×Dic17C2414yes—
816#63256—28no—
817#63256—44no—
818#63256—42no—
819#63256—44no—
820#63256—48no—
821#63256—44no—
822Q8×D17—44no—
823Q8×D17—42no—
824#63254—28no—
825#63254—44no—
826#63254—44no—
827#63254—42no—
828#63254—42no—
829#63254—42no—
830#63254—48no—
831#63254—44no—
832D4×D17—44no—
833D4×D17—48no—
834D4×D17—42no—
835D4×D17—42no—
836D4×D17—42no—
837D4×D17—44no—
838D4×D17—48no—
839D4×D17—48no—
840D4×D17—44no—
841D4×D17—48no—
842#63252—44no—
843#63252—42no—
844#63252—42no—
845#63252—42no—
846#63252—48no—
847#63252—48no—
848C2×D68—42no—
849C2×D68—44no—
850C2×D68C2414yes—
851C2×D68C2412yes—
852C2×D68C2412yes—
853C2×D68C2414yes—
854C2×D68C2412yes—
855C2×D68C2414yes—
856C2×D68C2412yes—
857C2×D68C2411yescharacteristic
858C2×D68C2411yescharacteristic
859C2×D68C2411yescharacteristic
860C2×D68C2414yes—
861C2×D68C2414yes—
862C2×C4×D17—28no—
863C2×C4×D17—24no—
864C2×C4×D17—24no—
865C2×C4×D17—24no—
866C2×C4×D17—42no—
867C2×C4×D17—44no—
868C2×C4×D17—48no—
869C2×C4×D17—44no—
870C2×C4×D17—44no—
871C2×C4×D17—42no—
872C2×C4×D17—42no—
873C2×C4×D17—44no—
874C2×C4×D17C2412yes—
875C2×C4×D17C2412yes—
876C2×C4×D17C2411yescharacteristic
877C2×C4×D17C2412yes—
878C2×C4×D17C2411yescharacteristic
879C2×C4×D17C2411yescharacteristic
880C2×C4×D17C2414yes—
881C2×C4×D17C2411yescharacteristic
882C2×C4×D17C2411yescharacteristic
883C2×C4×D17C2411yescharacteristic
884C2×C4×D17C2411yescharacteristic
885C2×C4×D17C2411yescharacteristic
886C2×C4×D17C2411yescharacteristic
887C2×C4×D17C2414yes—
888C2×C4×D17C2412yes—
889C2×C4×D17C2412yes—
890C2×C4×D17C2412yes—
891C2×C4×D17C2414yes—
892C2×C4×D17C2414yes—
893C2×C4×D17C2414yes—
894C2×C4×D17C2414yes—
895C2×C4×D17C2412yes—
896C2×C4×D17C2414yes—
897C2×C4×D17C2412yes—
898C2×C4×D17C2414yes—
899C2×C4×D17C2414yes—
900C2×C4×D17C2414yes—
901C2×C4×D17C2411yescharacteristic
902C2×Dic34—42no—
903C2×Dic34C2412yes—
904C2×Dic34C2412yes—
905C2×Dic34C2411yescharacteristic
906C2×Dic34C2411yescharacteristic
907C2×Dic34C2414yes—
908C2×Dic34C2411yescharacteristic
909C2×Dic34C2414yes—
910C4⋊C4×C17C2412yes—
911C4⋊C4×C17C2412yes—
912C4⋊C4×C17C2414yes—
913C4⋊C4×C17C2414yes—
914C4⋊C4×C17C2412yes—
915C4⋊C4×C17C2412yes—
916C4⋊C4×C17C2412yes—
917C4⋊C4×C17C2414yes—
918C4⋊C4×C17C2414yes—
919C4⋊C4×C17C2414yes—
920C22⋊C4×C17C2414yes—
921C22⋊C4×C17C2412yes—
922C22⋊C4×C17C2414yes—
923C22⋊C4×C17C2412yes—
924C22⋊C4×C17C2414yes—
925C22⋊C4×C17C2414yes—
926C22⋊C4×C17C2414yes—
927C22⋊C4×C17C2414yes—
928C22⋊C4×C17C2414yes—
929C22⋊C4×C17C2411yescharacteristic
930C22⋊C4×C17C2412yes—
931C22⋊C4×C17C2414yes—
932C22⋊C4×C17C2411yescharacteristic
933C22⋊C4×C17C2414yes—
934C22⋊C4×C17C2412yes—
935C22⋊C4×C17C2412yes—
936C22⋊C4×C17C2414yes—
937C22⋊C4×C17C2412yes—
938C42×C17C2414yes—
939C42×C17C2412yes—
940C42×C17C2412yes—
941C42×C17C2414yes—
942C42×C17C2412yes—
943C22⋊Dic17C2411yescharacteristic
944C22⋊Dic17C2411yescharacteristic
945C22⋊Dic17C2414yes—
946C22⋊Dic17C2414yes—
947C22⋊Dic17C2412yes—
948C22⋊Dic17C2412yes—
949C22⋊Dic17C2412yes—
950C22⋊Dic17C2412yes—
951C22⋊Dic17C2414yes—
952C22⋊Dic17C2414yes—
953C22⋊Dic17C2412yes—
954C22⋊Dic17C2414yes—
955C22⋊Dic17C2414yes—
956C22⋊Dic17C2414yes—
957C22⋊Dic17C2412yes—
958C22⋊Dic17C2414yes—
959#63227C2414yes—
960#63227C2414yes—
961#63227C2412yes—
962#63227C2414yes—
963#63227C2412yes—
964#63227C2412yes—
965#63227C2412yes—
966#63227C2414yes—
967#63227C2412yes—
968#63227C2412yes—
969#63227C2414yes—
970#63227C2412yes—
971#63227C2414yes—
972#63227C2414yes—
973#63227C2414yes—
974#63227C2414yes—
975#63227C2414yes—
976#63227C2414yes—
977#63227C2412yes—
978#63227C2412yes—
979#63227C2414yes—
980#63227C2412yes—
981#63227C2414yes—
982#63227C2414yes—
983#63227C2414yes—
984#63227C2414yes—
985#63227C2414yes—
986#63227C2414yes—
987C4⋊Dic17C2412yes—
988C4⋊Dic17C2414yes—
989C4⋊Dic17C2414yes—
990C4⋊Dic17C2414yes—
991C4⋊Dic17C2412yes—
992C4⋊Dic17C2412yes—
993C4⋊Dic17C2414yes—
994C4⋊Dic17C2414yes—
995C4⋊Dic17C2414yes—
996C4⋊Dic17C2412yes—
997C4⋊Dic17C2414yes—
998C4⋊Dic17C2412yes—
999#63225C2414yes—
1000#63225C2412yes—
1001#63225C2414yes—
1002#63225C2412yes—
1003#63225C2412yes—
1004#63225C2414yes—
1005#63225C2414yes—
1006#63225C2414yes—
1007#63225C2414yes—
1008#63225C2414yes—
1009#63225C2414yes—
1010#63225C2414yes—
1011#63225C2414yes—
1012#63225C2414yes—
1013#63225C2414yes—
1014#63225C2414yes—
1015#63225C2412yes—
1016#63225C2414yes—
1017#63225C2414yes—
1018#63225C2412yes—
1019#63225C2412yes—
1020#63225C2414yes—
1021C4×Dic17C2414yes—
1022C4×Dic17C2412yes—
1023C4×Dic17C2414yes—
1024C4×Dic17C2414yes—
1025C4×Dic17C2414yes—
1026C4×Dic17C2412yes—
1027C4×Dic17C2412yes—
1028C4×Dic17C2412yes—
1029C4×Dic17C2412yes—
1030C4×Dic17C2414yes—
1031C4×Dic17C2414yes—
1032#62729—171nomaximal, Sylow
1033C23×C17—41no—
1034C23×C17—42no—
1035C23×C17—42no—
1036C23×C17—44no—
1037C23×C17C2511yescharacteristic
1038C23×C17C2511yescharacteristic
1039C23×C17C2512yes—
1040C23×C17C2511yescharacteristic
1041C23×C17C2514yes—
1042C22×D17—24no—
1043C22×D17—22no—
1044C22×D17—24no—
1045C22×D17—24no—
1046C22×D17—24no—
1047C22×D17—22no—
1048C22×D17—22no—
1049C22×D17—28no—
1050C22×D17—41no—
1051C22×D17—42no—
1052C22×D17—42no—
1053C22×D17—42no—
1054C22×D17—42no—
1055C22×D17—42no—
1056C22×D17—44no—
1057C22×D17—42no—
1058C22×D17—42no—
1059C22×D17—44no—
1060C22×D17—44no—
1061C22×D17—416no—
1062C22×D17C2511yescharacteristic
1063C22×D17C2511yescharacteristic
1064C22×D17C2514yes—
1065C22×D17C2511yescharacteristic
1066C22×D17C2511yescharacteristic
1067C22×D17C2512yes—
1068Q8×C17—24no—
1069Q8×C17—41no—
1070Q8×C17—42no—
1071Q8×C17—44no—
1072D4×C17—24no—
1073D4×C17—41no—
1074D4×C17—41no—
1075D4×C17—41no—
1076D4×C17—44no—
1077D4×C17—42no—
1078D4×C17—44no—
1079D4×C17—44no—
1080D4×C17—44no—
1081D4×C17—42no—
1082D4×C17—42no—
1083C2×C4×C17—22no—
1084C2×C4×C17—22no—
1085C2×C4×C17—24no—
1086C2×C4×C17—22no—
1087C2×C4×C17—42no—
1088C2×C4×C17—41no—
1089C2×C4×C17—42no—
1090C2×C4×C17—44no—
1091C2×C4×C17—44no—
1092C2×C4×C17C2512yes—
1093C2×C4×C17C2514yes—
1094C2×C4×C17C2514yes—
1095C2×C4×C17C2511yescharacteristic
1096C2×C4×C17C2512yes—
1097C2×C4×C17C2511yescharacteristic
1098C2×C4×C17C2512yes—
1099C2×C4×C17C2514yes—
1100C2×C4×C17C2511yescharacteristic
1101C2×C4×C17C2511yescharacteristic
1102C22⋊D17—28no—
1103C22⋊D17—28no—
1104C22⋊D17—24no—
1105C22⋊D17—24no—
1106C22⋊D17—44no—
1107C22⋊D17—41no—
1108C22⋊D17—41no—
1109C22⋊D17—41no—
1110C22⋊D17—41no—
1111C22⋊D17—44no—
1112C22⋊D17—41no—
1113C22⋊D17—41no—
1114C22⋊D17—44no—
1115C22⋊D17—44no—
1116C22⋊D17—44no—
1117C22⋊D17—44no—
1118C22⋊D17—42no—
1119C22⋊D17—44no—
1120C22⋊D17—42no—
1121C22⋊D17—44no—
1122C22⋊D17—44no—
1123C22⋊D17—44no—
1124C2×Dic17—22no—
1125C2×Dic17—24no—
1126C2×Dic17—22no—
1127C2×Dic17—22no—
1128C2×Dic17—28no—
1129C2×Dic17—42no—
1130C2×Dic17—41no—
1131C2×Dic17—42no—
1132C2×Dic17—44no—
1133C2×Dic17—44no—
1134C2×Dic17C2511yescharacteristic
1135C2×Dic17C2514yes—
1136C2×Dic17C2514yes—
1137C2×Dic17C2512yes—
1138C2×Dic17C2512yes—
1139C2×Dic17C2511yescharacteristic
1140C2×Dic17C2514yes—
1141C2×Dic17C2512yes—
1142C2×Dic17C2511yescharacteristic
1143C2×Dic17C2511yescharacteristic
1144D68—28no—
1145D68—24no—
1146D68—28no—
1147D68—24no—
1148D68—24no—
1149D68—42no—
1150D68—44no—
1151D68—41no—
1152D68—41no—
1153D68—41no—
1154D68—44no—
1155D68—44no—
1156C4×D17—24no—
1157C4×D17—22no—
1158C4×D17—22no—
1159C4×D17—22no—
1160C4×D17—28no—
1161C4×D17—22no—
1162C4×D17—24no—
1163C4×D17—22no—
1164C4×D17—22no—
1165C4×D17—24no—
1166C4×D17—22no—
1167C4×D17—22no—
1168C4×D17—22no—
1169C4×D17—28no—
1170C4×D17—42no—
1171C4×D17—42no—
1172C4×D17—42no—
1173C4×D17—44no—
1174C4×D17—44no—
1175C4×D17—44no—
1176C4×D17—44no—
1177C4×D17—44no—
1178C4×D17—42no—
1179C4×D17—44no—
1180C4×D17—42no—
1181C4×D17—44no—
1182C4×D17—44no—
1183C4×D17H(5,𝔽2)14yes—
1184Dic34—24no—
1185Dic34—42no—
1186Dic34—44no—
1187Dic34—44no—
1188Dic34—41no—
1189Dic34—41no—
1190Dic34—41no—
1191#3542—172no—
1192#3542—172no—
1193#3541—172no—
1194#3541—172no—
1195#3540—171no—
1196#3540D1711yescharacteristic, complemented
1197#3539—172no—
1198#3538—171no—
1199#3537—171no—
1200#3536—172no—
1201#3535—174no—
1202#3534—174no—
1203#3533—172no—
1204#3533—172no—
1205#3532—172no—
1206#3532—172no—
1207#3529—172no—
1208#3529—172no—
1209#3481—172no—
1210#3481—172no—
1211#3475—172no—
1212#3475—172no—
1213D4×#41—172no—
1214D4×#41—172no—
1215#3460—174no—
1216#3459—174no—
1217#3455—172no—
1218#3449—171no—
1219#3449—171no—
1220C2×#525—171no—
1221C2×#525—172no—
1222C22×C17—21no—
1223C22×C17—24no—
1224C22×C17—22no—
1225C22×C17—21no—
1226C22×C17—21no—
1227C22×C17—24no—
1228C22×C17—24no—
1229C22×C17—22no—
1230C22×C17—22no—
1231C22×C17—22no—
1232C22×C17—22no—
1233C22×C17—22no—
1234C22×C17—44no—
1235C22×C17—84no—
1236C22×C17C2611yescharacteristic
1237C2×D17—22no—
1238C2×D17—22no—
1239C2×D17—22no—
1240C2×D17—21no—
1241C2×D17—21no—
1242C2×D17—21no—
1243C2×D17—24no—
1244C2×D17—22no—
1245C2×D17—22no—
1246C2×D17—24no—
1247C2×D17—24no—
1248C2×D17—22no—
1249C2×D17—48no—
1250C2×D17—44no—
1251C2×D17—44no—
1252C2×D17—48no—
1253C2×D17—82no—
1254C2×D17—82no—
1255C2×D17—88no—
1256C2×D17—84no—
1257C2×D17C2×H(5,𝔽2)12yes—
1258C2×D17#58514yes—
1259C4×C17—21no—
1260C4×C17—21no—
1261C4×C17—21no—
1262C4×C17—24no—
1263C4×C17—22no—
1264C4×C17—22no—
1265C4×C17—24no—
1266C4×C17—24no—
1267C4×C17—22no—
1268C4×C17C2×H(5,𝔽2)12yes—
1269Dic17—24no—
1270Dic17—21no—
1271Dic17—22no—
1272Dic17—21no—
1273Dic17—21no—
1274Dic17—24no—
1275Dic17—24no—
1276Dic17—22no—
1277Dic17—22no—
1278Dic17C2×H(5,𝔽2)12yes—
1279C22×#41—171no—
1280C22×#41—172no—
1281C22×#41—171no—
1282C22×#41—171no—
1283C24×C4—171no—
1284#563—174no—
1285#563—172no—
1286#563—174no—
1287#563—172no—
1288#562—174no—
1289#562—174no—
1290#562—174no—
1291#562—174no—
1292#562—174no—
1293#562—174no—
1294H(3,𝔽4)—172no—
1295H(3,𝔽4)C2×D1712yescomplemented
1296#560—172no—
1297#560—174no—
1298#560—174no—
1299#560—174no—
1300#560—172no—
1301#560—172no—
1302#560—174no—
1303#560C2×D1712yescomplemented
1304#559—172no—
1305#559C2×D1712yescomplemented
1306#556—172no—
1307#556C2×D1712yescomplemented
1308#555—172no—
1309#555C2×D1712yescomplemented
1310#554—172no—
1311#554—174no—
1312#554—172no—
1313#554—174no—
1314#553—174no—
1315#553—172no—
1316#553—172no—
1317#553—174no—
1318#553—174no—
1319#553—174no—
1320#553—172no—
1321#553—172no—
1322#552—172no—
1323#552—172no—
1324#552—174no—
1325#552—172no—
1326#552—174no—
1327#552—172no—
1328#551—174no—
1329#551—174no—
1330#551—174no—
1331#551—172no—
1332#551—174no—
1333#551—172no—
1334#551—172no—
1335#551—174no—
1336#551—174no—
1337#551C2×D1712yescomplemented
1338#550—172no—
1339#550—172no—
1340D4×Q8—172no—
1341D4×Q8—172no—
1342#548—172no—
1343#548—172no—
1344#548—172no—
1345#548C2×D1712yescomplemented
1346#547—172no—
1347#547—172no—
1348#547—174no—
1349#547—172no—
1350#547—174no—
1351#547—172no—
1352#546—174no—
1353#546—174no—
1354#546—174no—
1355#546—172no—
1356#546—174no—
1357#546—174no—
1358#546—174no—
1359#546—174no—
1360#546—172no—
1361#546—174no—
1362#546—172no—
1363#546—174no—
1364#546—174no—
1365#546C2×D1712yescomplemented
1366D42—172no—
1367D42—172no—
1368D42—174no—
1369D42—172no—
1370D42—174no—
1371D42—172no—
1372#544—174no—
1373#543—174no—
1374#542—172no—
1375#542—172no—
1376#542—174no—
1377#542—174no—
1378#542—174no—
1379#542—172no—
1380#542C2×D1712yescomplemented
1381#542C2×D1714yescomplemented
1382#541—172no—
1383#541—172no—
1384#540—174no—
1385#540—174no—
1386#540—172no—
1387#540—174no—
1388#540—172no—
1389#540—174no—
1390#539—174no—
1391#539—174no—
1392#539—174no—
1393#539—174no—
1394#539—174no—
1395#539—174no—
1396#539—174no—
1397#539—174no—
1398#538—174no—
1399#538—174no—
1400#538—174no—
1401#538—174no—
1402#538—174no—
1403#538—174no—
1404#538—174no—
1405#538—174no—
1406#538—174no—
1407#538—174no—
1408#538—174no—
1409#538C2×D1714yescomplemented
1410#537—172no—
1411#537—172no—
1412#537—174no—
1413#537—172no—
1414#537—172no—
1415#536—171no—
1416#536—171no—
1417#536—172no—
1418#536—172no—
1419#536—171no—
1420#536C2×D1711yescharacteristic, complemented
1421#535—171no—
1422#535—171no—
1423#535—172no—
1424#535—172no—
1425#535—174no—
1426#535—174no—
1427#535—171no—
1428#535C2×D1711yescharacteristic, complemented
1429#534—172no—
1430#534—172no—
1431#534—174no—
1432#534—172no—
1433#534—174no—
1434#534—172no—
1435#534—174no—
1436#533—172no—
1437#532—172no—
1438#532—172no—
1439#532—172no—
1440#532—174no—
1441#532—172no—
1442#532—172no—
1443#532—174no—
1444#529—174no—
1445#529—174no—
1446#529—174no—
1447#529—174no—
1448#529—174no—
1449#529—174no—
1450#529—174no—
1451#529—174no—
1452#529—174no—
1453#529—174no—
1454#525—171no—
1455#525—172no—
1456#525—171no—
1457#525—172no—
1458#525—174no—
1459#525—171no—
1460#525—171no—
1461#525—172no—
1462#525—172no—
1463#525—174no—
1464#525—172no—
1465#525—172no—
1466#525—172no—
1467#525—172no—
1468#525—174no—
1469#525—172no—
1470#525—172no—
1471#525—172no—
1472#525—174no—
1473#525—172no—
1474#525—171no—
1475#525—171no—
1476#525—174no—
1477#525—172no—
1478#525—174no—
1479#525—172no—
1480#525—174no—
1481#525—174no—
1482#525—172no—
1483#525—172no—
1484#525—171no—
1485#525—172no—
1486#525C2×D1712yescomplemented
1487#525C2×D1711yescharacteristic, complemented
1488C2×#123—171no—
1489C2×#123—171no—
1490C2×#123—174no—
1491C2×C22⋊Q8—172no—
1492C2×C22⋊Q8—172no—
1493C2×C22⋊Q8—172no—
1494C2×#121—172no—
1495C2×#121—172no—
1496C2×#121—172no—
1497C2×#120—171no—
1498C2×#120—171no—
1499C2×#120—174no—
1500C4×#41—172no—
1501C4×#41—174no—
1502C4×#41—172no—
1503C4×#41—174no—
1504C2×C4×D4—174no—
1505C2×C4×D4—172no—
1506C2×C4×D4—172no—
1507C2×C4×D4—174no—
1508C2×C4×D4—174no—
1509C2×C4×D4—174no—
1510C2×#117—171no—
1511C2×#117—172no—
1512C2×#117—171no—
1513C2×#117—171no—
1514C2×C17—42no—
1515C2×C17—41no—
1516C2×C17—41no—
1517C2×C17—44no—
1518C2×C17—41no—
1519C2×C17C22×H(5,𝔽2)11yescharacteristic
1520C2×C17C2×#58512yes—
1521D17—22no—
1522D17—24no—
1523D17—41no—
1524D17—41no—
1525D17—41no—
1526D17—44no—
1527C25—171no—
1528C2×#41—172no—
1529C2×#41—174no—
1530C2×#41—171no—
1531C2×#41—172no—
1532C2×#41—172no—
1533C2×#41—172no—
1534C2×#41—172no—
1535C2×#41—171no—
1536C2×#41—174no—
1537C2×#41—171no—
1538C2×#41—171no—
1539C2×#41—172no—
1540C2×#41—172no—
1541C2×#41—172no—
1542C2×#41—174no—
1543C2×#41—171no—
1544C2×#41—171no—
1545C2×#41—171no—
1546C2×#41—174no—
1547C2×#41—172no—
1548C2×#41—684no—
1549C2×#41—684no—
1550C2×#41—684no—
1551C2×#41—688no—
1552C2×#41C22×D1711yescharacteristic
1553C2×#41C22×D1712yes—
1554C22×Q8—171no—
1555C22×Q8—172no—
1556C22×Q8—171no—
1557C22×Q8C22×D1711yescharacteristic, complemented
1558C22×D4—174no—
1559C22×D4—172no—
1560C22×D4—174no—
1561C22×D4—174no—
1562C22×D4—172no—
1563C22×D4—172no—
1564C22×D4—174no—
1565C22×D4—171no—
1566C22×D4—171no—
1567C22×D4—174no—
1568C22×D4—171no—
1569C22×D4—172no—
1570C22×D4—172no—
1571C22×D4—171no—
1572C22×D4C22×D1711yescharacteristic, complemented
1573C23×C4—172no—
1574C23×C4—171no—
1575C23×C4—172no—
1576C23×C4—171no—
1577C23×C4—171no—
1578C23×C4—171no—
1579C23×C4—171no—
1580C23×C4—174no—
1581C23×C4—172no—
1582C23×C4—172no—
1583C23×C4—171no—
1584C23×C4—172no—
1585C23×C4—172no—
1586C23×C4—171no—
1587C23×C4—684no—
1588C23×C4C22×D1711yescharacteristic
1589C4⋊Q8—172no—
1590C4⋊Q8—172no—
1591C4⋊Q8—172no—
1592C4⋊Q8—174no—
1593C4⋊Q8—174no—
1594C4⋊Q8—172no—
1595C4⋊Q8—172no—
1596C4⋊Q8C22×D1712yescomplemented
1597C4⋊Q8C22×D1712yescomplemented
1598#127—172no—
1599#127—172no—
1600#127—174no—
1601#127—174no—
1602#127—172no—
1603#127—172no—
1604#127C22×D1712yes—
1605#126—174no—
1606#126—174no—
1607#126—174no—
1608#126—174no—
1609#126—174no—
1610#126—174no—
1611#126—174no—
1612#126—174no—
1613#126—174no—
1614#126—174no—
1615#126—174no—
1616#126—174no—
1617#126—174no—
1618#126—174no—
1619#126—174no—
1620#126—174no—
1621#126—174no—
1622#126C22×D1714yes—
1623#126C22×D1714yescomplemented
1624#126C22×D1714yescomplemented
1625#125—174no—
1626#125—174no—
1627#125—174no—
1628#125—174no—
1629#125—174no—
1630#125—174no—
1631#125—172no—
1632#125—172no—
1633#125—174no—
1634#125—174no—
1635#125—174no—
1636#125—174no—
1637#124—174no—
1638#124—172no—
1639#124—172no—
1640#124—174no—
1641#124—172no—
1642#124—172no—
1643#124—174no—
1644#124—174no—
1645#124—174no—
1646#124—174no—
1647#124—174no—
1648#124—174no—
1649#124—172no—
1650#124—172no—
1651#124—174no—
1652#124—172no—
1653#124C22×D1714yes—
1654#124C22×D1714yes—
1655#124C22×D1714yes—
1656#124C22×D1712yes—
1657#124C22×D1714yes—
1658#124C22×D1714yescomplemented
1659#124C22×D1712yescomplemented
1660#124C22×D1712yescomplemented
1661#123—171no—
1662#123—171no—
1663#123—174no—
1664#123—172no—
1665#123—172no—
1666#123—174no—
1667#123—174no—
1668#123—174no—
1669#123—174no—
1670#123—171no—
1671#123—171no—
1672#123—172no—
1673#123—172no—
1674#123—174no—
1675#123—174no—
1676#123—174no—
1677#123—172no—
1678#123—172no—
1679#123—174no—
1680#123—174no—
1681#123—174no—
1682#123—174no—
1683#123—174no—
1684#123—174no—
1685#123—174no—
1686#123—174no—
1687#123—172no—
1688#123—172no—
1689#123—174no—
1690#123—174no—
1691#123—171no—
1692#123—171no—
1693#123—172no—
1694#123—174no—
1695#123—172no—
1696#123—174no—
1697#123—174no—
1698#123—174no—
1699#123—174no—
1700#123—174no—
1701#123—174no—
1702#123—174no—
1703#123—174no—
1704#123—174no—
1705#123—174no—
1706#123—174no—
1707#123—174no—
1708#123—174no—
1709#123—174no—
1710#123—174no—
1711#123—174no—
1712#123C22×D1714yes—
1713#123C22×D1711yescharacteristic
1714#123C22×D1711yescharacteristic
1715#123C22×D1712yes—
1716#123C22×D1714yes—
1717#123C22×D1712yescomplemented
1718#123C22×D1714yescomplemented
1719C22⋊Q8—172no—
1720C22⋊Q8—172no—
1721C22⋊Q8—172no—
1722C22⋊Q8—172no—
1723C22⋊Q8—174no—
1724C22⋊Q8—174no—
1725C22⋊Q8—174no—
1726C22⋊Q8—174no—
1727C22⋊Q8—174no—
1728C22⋊Q8—174no—
1729C22⋊Q8—172no—
1730C22⋊Q8—172no—
1731C22⋊Q8—172no—
1732C22⋊Q8—172no—
1733C22⋊Q8—174no—
1734C22⋊Q8—174no—
1735C22⋊Q8—172no—
1736C22⋊Q8—174no—
1737C22⋊Q8—174no—
1738C22⋊Q8—172no—
1739C22⋊Q8—172no—
1740C22⋊Q8—172no—
1741C22⋊Q8—172no—
1742C22⋊Q8—174no—
1743C22⋊Q8—172no—
1744C22⋊Q8—174no—
1745C22⋊Q8—174no—
1746C22⋊Q8—174no—
1747C22⋊Q8—174no—
1748C22⋊Q8—174no—
1749C22⋊Q8—174no—
1750C22⋊Q8—174no—
1751C22⋊Q8—174no—
1752C22⋊Q8—172no—
1753C22⋊Q8—172no—
1754C22⋊Q8—174no—
1755C22⋊Q8—174no—
1756C22⋊Q8—174no—
1757C22⋊Q8—174no—
1758C22⋊Q8—174no—
1759C22⋊Q8—174no—
1760C22⋊Q8—174no—
1761C22⋊Q8C22×D1712yes—
1762C22⋊Q8C22×D1712yes—
1763C22⋊Q8C22×D1712yes—
1764C22⋊Q8C22×D1712yescomplemented
1765C22⋊Q8C22×D1714yescomplemented
1766C22⋊Q8C22×D1714yescomplemented
1767#121—172no—
1768#121—172no—
1769#121—172no—
1770#121—172no—
1771#121—172no—
1772#121—174no—
1773#121—174no—
1774#121—174no—
1775#121—174no—
1776#121—174no—
1777#121—172no—
1778#121—174no—
1779#121—174no—
1780#121—174no—
1781#121—174no—
1782#121—174no—
1783#121—174no—
1784#121—174no—
1785#121—174no—
1786#121—174no—
1787#121—174no—
1788#121—174no—
1789#121—172no—
1790#121—172no—
1791#121—172no—
1792#121—172no—
1793#121—174no—
1794#121—174no—
1795#121—174no—
1796#121—172no—
1797#121—172no—
1798#121—172no—
1799#121—172no—
1800#121—174no—
1801#121—174no—
1802#121—174no—
1803#121—174no—
1804#121—174no—
1805#121—172no—
1806#121—172no—
1807#121—174no—
1808#121—174no—
1809#121—174no—
1810#121—174no—
1811#121—174no—
1812#121—174no—
1813#121—174no—
1814#121—174no—
1815#121—174no—
1816#121—174no—
1817#121—174no—
1818#121—174no—
1819#121—174no—
1820#121—174no—
1821#121—174no—
1822#121—174no—
1823#121—174no—
1824#121C22×D1712yes—
1825#121C22×D1712yes—
1826#121C22×D1712yes—
1827#121C22×D1714yes—
1828#121C22×D1714yes—
1829#121C22×D1714yes—
1830#121C22×D1712yescomplemented
1831#120—171no—
1832#120—171no—
1833#120—174no—
1834#120—172no—
1835#120—172no—
1836#120—174no—
1837#120—172no—
1838#120—172no—
1839#120—174no—
1840#120—174no—
1841#120—171no—
1842#120—171no—
1843#120—174no—
1844#120—172no—
1845#120—174no—
1846#120—172no—
1847#120—174no—
1848#120—174no—
1849#120—174no—
1850#120—174no—
1851#120—174no—
1852#120—172no—
1853#120—172no—
1854#120—174no—
1855#120—171no—
1856#120—171no—
1857#120—172no—
1858#120—174no—
1859#120—172no—
1860#120—174no—
1861#120—174no—
1862#120—174no—
1863#120C22×D1714yes—
1864#120C22×D1711yescharacteristic
1865#120C22×D1711yescharacteristic
1866#120C22×D1712yes—
1867#120C22×D1714yes—
1868#120C22×D1712yescomplemented
1869C4×Q8—174no—
1870C4×Q8—172no—
1871C4×Q8—174no—
1872C4×Q8—172no—
1873C4×Q8—174no—
1874C4×Q8—172no—
1875C4×Q8C22×D1712yescomplemented
1876C4×Q8C22×D1714yescomplemented
1877C4×D4—172no—
1878C4×D4—172no—
1879C4×D4—174no—
1880C4×D4—174no—
1881C4×D4—174no—
1882C4×D4—172no—
1883C4×D4—174no—
1884C4×D4—174no—
1885C4×D4—172no—
1886C4×D4—172no—
1887C4×D4—174no—
1888C4×D4—172no—
1889C4×D4—172no—
1890C4×D4—174no—
1891C4×D4—174no—
1892C4×D4—174no—
1893C4×D4—174no—
1894C4×D4—174no—
1895C4×D4—172no—
1896C4×D4—172no—
1897C4×D4—174no—
1898C4×D4—174no—
1899C4×D4—174no—
1900C4×D4—174no—
1901C4×D4—172no—
1902C4×D4—172no—
1903C4×D4—172no—
1904C4×D4—174no—
1905C4×D4—174no—
1906C4×D4—174no—
1907C4×D4—174no—
1908C4×D4—174no—
1909C4×D4—172no—
1910C4×D4—172no—
1911C4×D4—174no—
1912C4×D4—174no—
1913C4×D4—174no—
1914C4×D4—174no—
1915C4×D4—174no—
1916C4×D4—174no—
1917C4×D4—174no—
1918C4×D4—174no—
1919C4×D4—174no—
1920C4×D4—174no—
1921C4×D4—174no—
1922C4×D4—172no—
1923C4×D4—172no—
1924C4×D4—174no—
1925C4×D4—174no—
1926C4×D4—174no—
1927C4×D4—174no—
1928C4×D4—174no—
1929C4×D4—174no—
1930C4×D4—172no—
1931C4×D4C22×D1714yes—
1932C4×D4C22×D1712yes—
1933C4×D4C22×D1712yes—
1934C4×D4C22×D1714yes—
1935C4×D4C22×D1714yescomplemented
1936C4×D4C22×D1712yescomplemented
1937#117—171no—
1938#117—172no—
1939#117—171no—
1940#117—171no—
1941#117—172no—
1942#117—172no—
1943#117—172no—
1944#117—174no—
1945#117—174no—
1946#117—174no—
1947#117—174no—
1948#117—171no—
1949#117—171no—
1950#117—174no—
1951#117—172no—
1952#117—172no—
1953#117—174no—
1954#117—172no—
1955#117—174no—
1956#117—172no—
1957#117—172no—
1958#117—174no—
1959#117—174no—
1960#117C22×D1711yescharacteristic
1961#117C22×D1712yes—
1962#117C22×D1711yescharacteristic, complemented
1963#117C22×D1711yescharacteristic, complemented
1964#117C22×D1714yescomplemented
1965C2×C4⋊C4—174no—
1966C2×C4⋊C4—172no—
1967C2×C4⋊C4—172no—
1968C2×C4⋊C4—172no—
1969C2×C4⋊C4—172no—
1970C2×C4⋊C4—172no—
1971C2×C4⋊C4—174no—
1972C2×C4⋊C4—172no—
1973C2×C4⋊C4—172no—
1974C2×C4⋊C4—174no—
1975C2×C4⋊C4—174no—
1976C2×C22⋊C4—174no—
1977C2×C22⋊C4—171no—
1978C2×C22⋊C4—171no—
1979C2×C22⋊C4—174no—
1980C2×C22⋊C4—172no—
1981C2×C22⋊C4—172no—
1982C2×C22⋊C4—174no—
1983C2×C22⋊C4—172no—
1984C2×C22⋊C4—172no—
1985C2×C22⋊C4—174no—
1986C2×C22⋊C4—174no—
1987C2×C22⋊C4—172no—
1988C2×C22⋊C4—172no—
1989C2×C22⋊C4—174no—
1990C2×C22⋊C4—174no—
1991C2×C22⋊C4—174no—
1992C2×C22⋊C4C22×D1714yescomplemented
1993C2×C42—174no—
1994C2×C42—174no—
1995C2×C42—172no—
1996C2×C42—172no—
1997C2×C42—172no—
1998C2×C42—174no—
1999C17#6272911yescharacteristic, complemented, Sylow
2000C24—172no—
2001C24—171no—
2002C24—174no—
2003C24—171no—
2004C24—171no—
2005C24—171no—
2006C24—172no—
2007C24—172no—
2008C24—682no—
2009C24—684no—
2010C24C23×D1712yes—
2011C24C23×D1711yescharacteristic
2012#41—42no—
2013#41—44no—
2014#41—348no—
2015#41—348no—
2016#41—682no—
2017#41—682no—
2018#41—682no—
2019#41—684no—
2020#41—688no—
2021#41—688no—
2022#41—682no—
2023#41—682no—
2024#41—682no—
2025#41—684no—
2026#41—688no—
2027#41—682no—
2028#41—684no—
2029#41—684no—
2030#41—684no—
2031#41—688no—
2032#41—684no—
2033#41—684no—
2034C2×Q8—42no—
2035C2×Q8—172no—
2036C2×Q8—174no—
2037C2×Q8—171no—
2038C2×Q8—174no—
2039C2×Q8—171no—
2040C2×Q8—171no—
2041C2×Q8—172no—
2042C2×Q8—682no—
2043C2×Q8—682no—
2044C2×Q8—684no—
2045C2×Q8C23×D1712yes—
2046C2×Q8C23×D1714yes—
2047C2×Q8C23×D1711yescharacteristic
2048C2×Q8C23×D1712yes—
2049C2×D4—42no—
2050C2×D4—174no—
2051C2×D4—172no—
2052C2×D4—172no—
2053C2×D4—174no—
2054C2×D4—174no—
2055C2×D4—174no—
2056C2×D4—174no—
2057C2×D4—174no—
2058C2×D4—174no—
2059C2×D4—174no—
2060C2×D4—174no—
2061C2×D4—172no—
2062C2×D4—172no—
2063C2×D4—171no—
2064C2×D4—171no—
2065C2×D4—174no—
2066C2×D4—174no—
2067C2×D4—171no—
2068C2×D4—171no—
2069C2×D4—171no—
2070C2×D4—171no—
2071C2×D4—174no—
2072C2×D4—172no—
2073C2×D4—172no—
2074C2×D4—174no—
2075C2×D4—174no—
2076C2×D4—172no—
2077C2×D4—174no—
2078C2×D4—174no—
2079C2×D4—171no—
2080C2×D4—171no—
2081C2×D4—172no—
2082C2×D4—174no—
2083C2×D4—171no—
2084C2×D4—682no—
2085C2×D4—684no—
2086C2×D4—684no—
2087C2×D4—688no—
2088C2×D4—682no—
2089C2×D4—682no—
2090C2×D4—682no—
2091C2×D4—688no—
2092C2×D4—688no—
2093C2×D4—684no—
2094C2×D4—684no—
2095C2×D4—688no—
2096C2×D4—688no—
2097C2×D4—684no—
2098C2×D4C23×D1712yes—
2099C2×D4C23×D1712yes—
2100C2×D4C23×D1712yes—
2101C2×D4C23×D1714yes—
2102C2×D4C23×D1714yes—
2103C2×D4C23×D1714yes—
2104C2×D4C23×D1711yescharacteristic
2105C2×D4C23×D1711yescharacteristic
2106C2×D4C23×D1712yes—
2107C2×D4C23×D1711yescharacteristic
2108C2×D4C23×D1714yes—
2109C22×C4—42no—
2110C22×C4—171no—
2111C22×C4—174no—
2112C22×C4—171no—
2113C22×C4—172no—
2114C22×C4—171no—
2115C22×C4—171no—
2116C22×C4—174no—
2117C22×C4—174no—
2118C22×C4—172no—
2119C22×C4—171no—
2120C22×C4—172no—
2121C22×C4—172no—
2122C22×C4—171no—
2123C22×C4—171no—
2124C22×C4—174no—
2125C22×C4—174no—
2126C22×C4—172no—
2127C22×C4—171no—
2128C22×C4—171no—
2129C22×C4—172no—
2130C22×C4—171no—
2131C22×C4—171no—
2132C22×C4—171no—
2133C22×C4—171no—
2134C22×C4—171no—
2135C22×C4—174no—
2136C22×C4—172no—
2137C22×C4—172no—
2138C22×C4—174no—
2139C22×C4—174no—
2140C22×C4—174no—
2141C22×C4—174no—
2142C22×C4—172no—
2143C22×C4—174no—
2144C22×C4—172no—
2145C22×C4—174no—
2146C22×C4—174no—
2147C22×C4—172no—
2148C22×C4—348no—
2149C22×C4—344no—
2150C22×C4—344no—
2151C22×C4—344no—
2152C22×C4—682no—
2153C22×C4—684no—
2154C22×C4—682no—
2155C22×C4—684no—
2156C22×C4—684no—
2157C22×C4—688no—
2158C22×C4—684no—
2159C22×C4—682no—
2160C22×C4—682no—
2161C22×C4—684no—
2162C22×C4C23×D1712yes—
2163C22×C4C23×D1711yescharacteristic
2164C22×C4C23×D1711yescharacteristic
2165C22×C4C23×D1711yescharacteristic
2166C22×C4C23×D1714yes—
2167C22×C4C23×D1714yes—
2168C22×C4C23×D1711yescharacteristic
2169C22×C4C23×D1712yes—
2170C22×C4C23×D1712yes—
2171C4⋊C4—172no—
2172C4⋊C4—172no—
2173C4⋊C4—172no—
2174C4⋊C4—172no—
2175C4⋊C4—174no—
2176C4⋊C4—174no—
2177C4⋊C4—174no—
2178C4⋊C4—174no—
2179C4⋊C4—174no—
2180C4⋊C4—172no—
2181C4⋊C4—172no—
2182C4⋊C4—172no—
2183C4⋊C4—174no—
2184C4⋊C4—174no—
2185C4⋊C4—172no—
2186C4⋊C4—172no—
2187C4⋊C4—174no—
2188C4⋊C4—174no—
2189C4⋊C4—174no—
2190C4⋊C4—174no—
2191C4⋊C4—174no—
2192C4⋊C4—174no—
2193C4⋊C4—174no—
2194C4⋊C4—172no—
2195C4⋊C4—172no—
2196C4⋊C4—174no—
2197C4⋊C4—174no—
2198C4⋊C4—174no—
2199C4⋊C4—174no—
2200C4⋊C4—174no—
2201C4⋊C4—174no—
2202C4⋊C4—174no—
2203C4⋊C4—174no—
2204C4⋊C4—174no—
2205C4⋊C4C23×D1712yes—
2206C4⋊C4C23×D1712yes—
2207C4⋊C4C23×D1714yes—
2208C4⋊C4C23×D1712yes—
2209C4⋊C4C23×D1712yes—
2210C4⋊C4C23×D1712yes—
2211C4⋊C4C23×D1714yes—
2212C4⋊C4C23×D1714yes—
2213C4⋊C4C23×D1714yes—
2214C4⋊C4C23×D1714yes—
2215C22⋊C4—171no—
2216C22⋊C4—171no—
2217C22⋊C4—172no—
2218C22⋊C4—174no—
2219C22⋊C4—172no—
2220C22⋊C4—172no—
2221C22⋊C4—172no—
2222C22⋊C4—172no—
2223C22⋊C4—172no—
2224C22⋊C4—174no—
2225C22⋊C4—174no—
2226C22⋊C4—174no—
2227C22⋊C4—174no—
2228C22⋊C4—174no—
2229C22⋊C4—174no—
2230C22⋊C4—174no—
2231C22⋊C4—172no—
2232C22⋊C4—172no—
2233C22⋊C4—174no—
2234C22⋊C4—174no—
2235C22⋊C4—174no—
2236C22⋊C4—174no—
2237C22⋊C4—174no—
2238C22⋊C4—172no—
2239C22⋊C4—172no—
2240C22⋊C4—172no—
2241C22⋊C4—172no—
2242C22⋊C4—172no—
2243C22⋊C4—172no—
2244C22⋊C4—174no—
2245C22⋊C4—174no—
2246C22⋊C4—174no—
2247C22⋊C4—174no—
2248C22⋊C4—174no—
2249C22⋊C4—174no—
2250C22⋊C4—174no—
2251C22⋊C4—174no—
2252C22⋊C4—172no—
2253C22⋊C4—172no—
2254C22⋊C4—174no—
2255C22⋊C4—174no—
2256C22⋊C4—174no—
2257C22⋊C4—174no—
2258C22⋊C4—174no—
2259C22⋊C4C23×D1712yes—
2260C22⋊C4C23×D1712yes—
2261C22⋊C4C23×D1714yes—
2262C22⋊C4C23×D1714yes—
2263C22⋊C4C23×D1711yescharacteristic
2264C22⋊C4C23×D1711yescharacteristic
2265C22⋊C4C23×D1712yes—
2266C22⋊C4C23×D1712yes—
2267C22⋊C4C23×D1714yes—
2268C22⋊C4C23×D1712yes—
2269C22⋊C4C23×D1714yes—
2270C22⋊C4C23×D1712yes—
2271C22⋊C4C23×D1714yes—
2272C22⋊C4C23×D1714yes—
2273C22⋊C4C23×D1714yes—
2274C22⋊C4C23×D1714yes—
2275C22⋊C4C23×D1714yes—
2276C22⋊C4C23×D1714yes—
2277C42—174no—
2278C42—174no—
2279C42—172no—
2280C42—172no—
2281C42—172no—
2282C42—174no—
2283C42—172no—
2284C42—174no—
2285C42—174no—
2286C42—172no—
2287C42—174no—
2288C42C23×D1712yes—
2289C42C23×D1714yes—
2290C42C23×D1712yes—
2291C42C23×D1712yes—
2292C42C23×D1714yes—
2293C23—41no—
2294C23—42no—
2295C23—42no—
2296C23—44no—
2297C23—171no—
2298C23—172no—
2299C23—171no—
2300C23—174no—
2301C23—171no—
2302C23—171no—
2303C23—344no—
2304C23—342no—
2305C23—344no—
2306C23—344no—
2307C23—344no—
2308C23—342no—
2309C23—342no—
2310C23—348no—
2311C23—681no—
2312C23—682no—
2313C23—682no—
2314C23—682no—
2315C23—682no—
2316C23—682no—
2317C23—684no—
2318C23—684no—
2319C23—682no—
2320C23—684no—
2321C23—682no—
2322C23—6816no—
2323C23C24×D1711yescharacteristic
2324C23C24×D1711yescharacteristic
2325C23C24×D1712yes—
2326C23C24×D1711yescharacteristic
2327C23C24×D1714yes—
2328Q8—24no—
2329Q8—42no—
2330Q8—41no—
2331Q8—44no—
2332Q8—344no—
2333Q8—681no—
2334Q8—681no—
2335Q8—682no—
2336Q8—681no—
2337Q8—684no—
2338Q8—684no—
2339D4—24no—
2340D4—42no—
2341D4—41no—
2342D4—41no—
2343D4—41no—
2344D4—44no—
2345D4—42no—
2346D4—44no—
2347D4—44no—
2348D4—44no—
2349D4—42no—
2350D4—348no—
2351D4—348no—
2352D4—344no—
2353D4—344no—
2354D4—344no—
2355D4—344no—
2356D4—348no—
2357D4—348no—
2358D4—344no—
2359D4—681no—
2360D4—681no—
2361D4—681no—
2362D4—682no—
2363D4—684no—
2364D4—684no—
2365D4—684no—
2366D4—681no—
2367D4—681no—
2368D4—681no—
2369D4—681no—
2370D4—681no—
2371D4—681no—
2372D4—684no—
2373D4—684no—
2374D4—684no—
2375D4—684no—
2376D4—684no—
2377D4—684no—
2378D4—684no—
2379D4—682no—
2380D4—682no—
2381D4—684no—
2382D4—684no—
2383D4—684no—
2384C2×C4—24no—
2385C2×C4—22no—
2386C2×C4—22no—
2387C2×C4—22no—
2388C2×C4—41no—
2389C2×C4—42no—
2390C2×C4—42no—
2391C2×C4—44no—
2392C2×C4—44no—
2393C2×C4—171no—
2394C2×C4—174no—
2395C2×C4—174no—
2396C2×C4—174no—
2397C2×C4—172no—
2398C2×C4—172no—
2399C2×C4—174no—
2400C2×C4—171no—
2401C2×C4—172no—
2402C2×C4—171no—
2403C2×C4—171no—
2404C2×C4—344no—
2405C2×C4—342no—
2406C2×C4—342no—
2407C2×C4—342no—
2408C2×C4—348no—
2409C2×C4—342no—
2410C2×C4—344no—
2411C2×C4—342no—
2412C2×C4—342no—
2413C2×C4—348no—
2414C2×C4—342no—
2415C2×C4—342no—
2416C2×C4—344no—
2417C2×C4—342no—
2418C2×C4—348no—
2419C2×C4—344no—
2420C2×C4—342no—
2421C2×C4—342no—
2422C2×C4—342no—
2423C2×C4—682no—
2424C2×C4—682no—
2425C2×C4—682no—
2426C2×C4—684no—
2427C2×C4—684no—
2428C2×C4—684no—
2429C2×C4—682no—
2430C2×C4—684no—
2431C2×C4—684no—
2432C2×C4—682no—
2433C2×C4—684no—
2434C2×C4—684no—
2435C2×C4—684no—
2436C2×C4—682no—
2437C2×C4—681no—
2438C2×C4—682no—
2439C2×C4—684no—
2440C2×C4—684no—
2441C2×C4C24×D1712yes—
2442C2×C4C24×D1711yescharacteristic
2443C2×C4C24×D1714yes—
2444C2×C4C24×D1712yes—
2445C2×C4C24×D1711yescharacteristic
2446C2×C4C24×D1712yes—
2447C2×C4C24×D1714yes—
2448C2×C4C24×D1714yes—
2449C2×C4C24×D1711yescharacteristic
2450C2×C4C24×D1711yescharacteristic
2451C22—21no—
2452C22—22no—
2453C22—21no—
2454C22—21no—
2455C22—24no—
2456C22—24no—
2457C22—24no—
2458C22—22no—
2459C22—22no—
2460C22—22no—
2461C22—22no—
2462C22—22no—
2463C22—44no—
2464C22—84no—
2465C22—172no—
2466C22—174no—
2467C22—342no—
2468C22—342no—
2469C22—342no—
2470C22—341no—
2471C22—341no—
2472C22—341no—
2473C22—344no—
2474C22—342no—
2475C22—342no—
2476C22—344no—
2477C22—344no—
2478C22—342no—
2479C22—688no—
2480C22—684no—
2481C22—684no—
2482C22—688no—
2483C22—1362no—
2484C22—1368no—
2485C22—1362no—
2486C22—1364no—
2487C22C25×D1711yescharacteristic
2488C4—22no—
2489C4—21no—
2490C4—21no—
2491C4—21no—
2492C4—24no—
2493C4—22no—
2494C4—24no—
2495C4—24no—
2496C4—22no—
2497C4—172no—
2498C4—341no—
2499C4—342no—
2500C4—341no—
2501C4—341no—
2502C4—344no—
2503C4—344no—
2504C4—342no—
2505C4—342no—
2506C4—344no—
2507C4H(5,𝔽2)×D1712yes—
2508C2—42no—
2509C2—41no—
2510C2—41no—
2511C2—44no—
2512C2—41no—
2513C2—342no—
2514C2—344no—
2515C2—681no—
2516C2—684no—
2517C2—681no—
2518C2—681no—
2519C2C2×H(5,𝔽2)×D1711yescharacteristic
2520C2D17×#58512yes—
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3540C2
hypercenter#3540D17
hypocenterC17#62729
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3540

Complements

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

NH ≅ G/Ntype
1. #14543107C2semidirect
2. #14543098C2semidirect
3. #14543084C2semidirect
4. #14543075C2semidirect
5. #14543059C2semidirect
6. #14543040C2semidirect
7. #14543027C2semidirect
8. #14543017C2semidirect
9. #14543009C2semidirect
10. #14542986C2semidirect
11. #14542973C2semidirect
12. #14542958C2semidirect
13. #14542949C2semidirect
14. #14542941C2semidirect
15. #14542937C2semidirect
16. #14542924C2semidirect
17. #14542919C2semidirect
18. #14542393C2semidirect
19. #14542387C2semidirect
20. #14542345C2semidirect
21. #14542341C2semidirect
22. #14542273C2semidirect
23. #14542268C2semidirect
24. #14542204C2semidirect
25. #14542195C2semidirect
26. #14542171C2semidirect
27. #14542116C2semidirect
28. #14542115C2semidirect
29. D17×#525C2semidirect
30. D17×#525C2semidirect
31. C17×#3540C2semidirect
32. C22×#63256C22semidirect
33. C22×#63254C22semidirect
34. C2×#41×D17C22semidirect
35. C2×#41×D17C22semidirect
36. C23×C4×D17C22semidirect
37. #11763562C22semidirect
38. #11763561C22semidirect
39. #11763559C22semidirect
40. #11763559C22semidirect
41. #11763556C22semidirect
42. #11763554C22semidirect
43. #11763554C22semidirect
44. #11763553C22semidirect
45. #11763553C22semidirect
46. #11763553C22semidirect
47. #11763552C22semidirect
48. #11763548C22semidirect
49. #11763548C22semidirect
50. #11763548C22semidirect
51. #11763548C22semidirect
52. #11763548C22semidirect
53. #11763547C22semidirect
54. #11763546C22semidirect
55. #11763543C22semidirect
56. #11763529C22semidirect
57. #11763524C22semidirect
58. #11763520C22semidirect
59. #11763519C22semidirect
60. #11763519C22semidirect
61. #11763513C22semidirect
62. #11763510C22semidirect
63. #11763509C22semidirect
64. #11763509C22semidirect
65. #11763508C22semidirect
66. #11763506C22semidirect
67. #11763506C22semidirect
68. #11763503C22semidirect
69. #11763503C22semidirect
70. #11763500C22semidirect
71. #11763498C22semidirect
72. #11763498C22semidirect
73. #11763498C22semidirect
74. #11763493C22semidirect
75. #11763493C22semidirect
76. #11763489C22semidirect
77. #11763489C22semidirect
78. #11763489C22semidirect
79. #11763487C22semidirect
80. #11763487C22semidirect
81. #11763487C22semidirect
82. #11763484C22semidirect
83. #11763484C22semidirect
84. #11763483C22semidirect
85. #11763478C22semidirect
86. #11763477C22semidirect
87. Q8×C22⋊D17C22semidirect
88. #11763472C22semidirect
89. #11763471C22semidirect
90. #11763468C22semidirect
91. #11763467C22semidirect
92. #11763464C22semidirect
93. #11763462C22semidirect
94. #11763461C22semidirect
95. #11763461C22semidirect
96. #11763458C22semidirect
97. #11763457C22semidirect
98. #11763456C22semidirect
99. #11763455C22semidirect
100. #11763455C22semidirect
101. #11763454C22semidirect
102. #11763452C22semidirect
103. #11763452C22semidirect
104. #11763452C22semidirect
105. #11763452C22semidirect
106. #11763452C22semidirect
107. #11763451C22semidirect
108. #11763449C22semidirect
109. #11763449C22semidirect
110. #11763448C22semidirect
111. #11763444C22semidirect
112. #11763443C22semidirect
113. #11763443C22semidirect
114. D4×C22⋊D17C22semidirect
115. #11763441C22semidirect
116. #11763441C22semidirect
117. #11763436C22semidirect
118. #11763434C22semidirect
119. #11763433C22semidirect
120. #11763431C22semidirect
121. #11763430C22semidirect
122. #11763429C22semidirect
123. #11763429C22semidirect
124. #11763428C22semidirect
125. #11763419C22semidirect
126. #11763417C22semidirect
127. #11763414C22semidirect
128. #11763412C22semidirect
129. #11763411C22semidirect
130. #11763411C22semidirect
131. #11763410C22semidirect
132. #11763410C22semidirect
133. #11763405C22semidirect
134. #11763402C22semidirect
135. #11763402C22semidirect
136. #11763401C22semidirect
137. #11763401C22semidirect
138. #11763400C22semidirect
139. #11763400C22semidirect
140. #11763400C22semidirect
141. #11763398C22semidirect
142. #11763398C22semidirect
143. #11763397C22semidirect
144. #11763395C22semidirect
145. #11763393C22semidirect
146. #11763393C22semidirect
147. #11763393C22semidirect
148. #11763393C22semidirect
149. #11763393C22semidirect
150. #11763391C22semidirect
151. #11763391C22semidirect
152. #11763389C22semidirect
153. #11763389C22semidirect
154. #11763389C22semidirect
155. #11763388C22semidirect
156. #11763388C22semidirect
157. #11763385C22semidirect
158. #11763384C22semidirect
159. #11763383C22semidirect
160. #11763380C22semidirect
161. #11763379C22semidirect
162. #11763378C22semidirect
163. #11763377C22semidirect
164. #11763377C22semidirect
165. #11763376C22semidirect
166. #11763375C22semidirect
167. #11763373C22semidirect
168. #11763372C22semidirect
169. #11763370C22semidirect
170. #11763370C22semidirect
171. #11763369C22semidirect
172. #11763369C22semidirect
173. #11763369C22semidirect
174. #11763369C22semidirect
175. #11763367C22semidirect
176. #11763364C22semidirect
177. #11763360C22semidirect
178. #11763358C22semidirect
179. #11763358C22semidirect
180. #11763358C22semidirect
181. #11763358C22semidirect
182. #11763357C22semidirect
183. #11763354C22semidirect
184. #11763345C22semidirect
185. #11763342C22semidirect
186. #11763342C22semidirect
187. #11763342C22semidirect
188. #11763340C22semidirect
189. #11763338C22semidirect
190. #11763338C22semidirect
191. #11763338C22semidirect
192. #11763338C22semidirect
193. #11763336C22semidirect
194. #11763322C22semidirect
195. #11763322C22semidirect
196. #11763322C22semidirect
197. #11763322C22semidirect
198. #11763322C22semidirect
199. #11763321C22semidirect
200. #11763321C22semidirect
201. #11763320C22semidirect
202. #11763320C22semidirect
203. #11763319C22semidirect
204. #11763319C22semidirect
205. #11763319C22semidirect
206. #11763319C22semidirect
207. #11763319C22semidirect
208. #11763318C22semidirect
209. #11763318C22semidirect
210. #11763318C22semidirect
211. #11763318C22semidirect
212. #11763317C22semidirect
213. #11763317C22semidirect
214. #11763317C22semidirect
215. #11763317C22semidirect
216. #11763317C22semidirect
217. #11763317C22semidirect
219. #11763316C22semidirect
220. #11763315C22semidirect
221. #11763315C22semidirect
222. #11763315C22semidirect
223. #11763315C22semidirect
224. #11763315C22semidirect
225. #11763315C22semidirect
226. #123×D17C22semidirect
227. #123×D17C22semidirect
228. #123×D17C22semidirect
229. C22⋊Q8×D17C22semidirect
230. C22⋊Q8×D17C22semidirect
231. C22⋊Q8×D17C22semidirect
232. #121×D17C22semidirect
233. #121×D17C22semidirect
234. #121×D17C22semidirect
235. #120×D17C22semidirect
236. #120×D17C22semidirect
237. #120×D17C22semidirect
238. C4×#63256C22semidirect
239. C4×#63256C22semidirect
240. #11763277C22semidirect
241. C4×#63254C22semidirect
242. C2×#10587567C22semidirect
243. C4×D4×D17C22semidirect
244. C4×D4×D17C22semidirect
245. C4×D4×D17C22semidirect
246. C4×D4×D17C22semidirect
247. C4×D4×D17C22semidirect
248. #117×D17C22semidirect
249. #117×D17C22semidirect
250. #117×D17C22semidirect
251. #117×D17C22semidirect
252. C17×H(3,𝔽4)C22semidirect
253. C17×#560C22semidirect
254. C17×#559C22semidirect
255. C17×#556C22semidirect
256. C17×#555C22semidirect
257. C17×#551C22semidirect
258. C17×#548C22semidirect
259. C17×#546C22semidirect
260. C17×#542C22semidirect
261. C17×#542C22semidirect
262. C17×#538C22semidirect
263. C17×#536C22semidirect
264. C17×#535C22semidirect
265. C17×#525C22semidirect
266. C17×#525C22semidirect
270. C22×Q8×C17C23semidirect
271. C22×D4×C17C23semidirect
276. C23×Dic17C23semidirect
284. C2×#63256C23semidirect
285. C2×#63256C23semidirect
295. C2×#63254C23semidirect
296. C2×#63254C23semidirect
314. C22×D68C23semidirect
327. C22×C4×D17C23semidirect
328. C22×Dic34C23semidirect
329. C17×C4⋊Q8C23semidirect
330. C17×C4⋊Q8C23semidirect
333. C17×#126C23semidirect
334. C17×#126C23semidirect
340. C17×#124C23semidirect
341. C17×#124C23semidirect
342. C17×#124C23semidirect
348. C17×#123C23semidirect
349. C17×#123C23semidirect
353. C17×C22⋊Q8C23semidirect
354. C17×C22⋊Q8C23semidirect
355. C17×C22⋊Q8C23semidirect
362. C17×#121C23semidirect
368. C17×#120C23semidirect
369. C4×Q8×C17C23semidirect
370. C4×Q8×C17C23semidirect
375. C4×D4×C17C23semidirect
376. C4×D4×C17C23semidirect
379. C17×#117C23semidirect
380. C17×#117C23semidirect
381. C17×#117C23semidirect
382. C2×C22⋊C4×C17C23semidirect
387. #10587639C23semidirect
388. #10587639C23semidirect
391. #10587633C23semidirect
398. #10587632C23semidirect
399. #10587632C23semidirect
400. #10587632C23semidirect
401. #10587632C23semidirect
402. Q8×Dic17C23semidirect
403. Q8×Dic17C23semidirect
404. #10587630C23semidirect
405. #10587630C23semidirect
406. #10587630C23semidirect
407. #10587630C23semidirect
412. #10587626C23semidirect
423. #10587625C23semidirect
433. #10587624C23semidirect
434. #10587624C23semidirect
446. #10587623C23semidirect
447. #10587623C23semidirect
450. #10587622C23semidirect
457. #10587621C23semidirect
458. #10587621C23semidirect
463. D4×Dic17C23semidirect
464. D4×Dic17C23semidirect
469. #10587616C23semidirect
470. #10587616C23semidirect
471. #10587616C23semidirect
476. #10587615C23semidirect
477. #10587615C23semidirect
478. #10587615C23semidirect
489. C4×C22⋊D17C23semidirect
493. #10587612C23semidirect
494. #10587612C23semidirect
498. #10587610C23semidirect
499. #10587610C23semidirect
500. #10587610C23semidirect
501. C2×#63225C23semidirect
502. C2×C4×Dic17C23semidirect
504. #10587584C23semidirect
505. #10587584C23semidirect
510. #10587583C23semidirect
511. #10587583C23semidirect
518. #10587582C23semidirect
519. #10587582C23semidirect
520. #10587582C23semidirect
521. #10587582C23semidirect
522. #10587582C23semidirect
528. #10587581C23semidirect
529. #10587581C23semidirect
537. #10587580C23semidirect
538. #10587580C23semidirect
539. #10587580C23semidirect
546. #10587579C23semidirect
547. #10587579C23semidirect
552. #10587578C23semidirect
553. #10587578C23semidirect
554. #10587578C23semidirect
562. C4⋊C4×D17C23semidirect
563. C4⋊C4×D17C23semidirect
564. C4⋊C4×D17C23semidirect
565. #10587576C23semidirect
566. #10587576C23semidirect
567. #10587576C23semidirect
568. #10587576C23semidirect
569. #10587575C23semidirect
570. #10587575C23semidirect
571. #10587575C23semidirect
572. #10587575C23semidirect
573. #10587574C23semidirect
574. #10587573C23semidirect
575. #10587573C23semidirect
576. #10587573C23semidirect
582. #10587572C23semidirect
583. #10587572C23semidirect
584. #10587572C23semidirect
589. #10587571C23semidirect
590. #10587571C23semidirect
607. #10587570C23semidirect
608. #10587570C23semidirect
609. #10587570C23semidirect
610. #10587570C23semidirect
611. #10587570C23semidirect
625. #10587569C23semidirect
626. #10587569C23semidirect
627. #10587569C23semidirect
628. #10587569C23semidirect
629. #10587569C23semidirect
642. #10587568C23semidirect
655. #10587567C23semidirect
656. #10587567C23semidirect
657. #10587567C23semidirect
658. #10587567C23semidirect
659. #10587567C23semidirect
660. #10587567C23semidirect
661. #10587567C23semidirect
676. C22⋊C4×D17C23semidirect
682. #10587565C23semidirect
683. #10587565C23semidirect
684. #10587565C23semidirect
685. #10587565C23semidirect
686. #10587565C23semidirect
687. #10587565C23semidirect
692. #10587564C23semidirect
693. #10587564C23semidirect
694. #10587564C23semidirect
695. #10587564C23semidirect
696. #10587564C23semidirect
700. #10587563C23semidirect
701. #10587563C23semidirect
702. #10587563C23semidirect
704. #10587562C23semidirect
705. #10587562C23semidirect
707. #10587561C23semidirect
708. #10587561C23semidirect
709. #10587561C23semidirect
719. C4×D68C23semidirect
720. C4×D68C23semidirect
726. #10587558C23semidirect
729. C42×D17C23semidirect
730. C42×D17C23semidirect
731. C42×D17C23semidirect
732. #10587556C23semidirect
733. #10587556C23semidirect
734. #10587556C23semidirect
735. #10587556C23semidirect
736. #10587555C23semidirect
737. #10587555C23semidirect
738. C4×Dic34C23semidirect
1196. #3540D17semidirect
1295. H(3,𝔽4)C2×D17semidirect
1303. #560C2×D17semidirect
1305. #559C2×D17semidirect
1307. #556C2×D17semidirect
1309. #555C2×D17semidirect
1337. #551C2×D17semidirect
1345. #548C2×D17semidirect
1365. #546C2×D17semidirect
1380. #542C2×D17semidirect
1381. #542C2×D17semidirect
1409. #538C2×D17semidirect
1420. #536C2×D17semidirect
1428. #535C2×D17semidirect
1486. #525C2×D17semidirect
1487. #525C2×D17semidirect
1557. C22×Q8C22×D17semidirect
1572. C22×D4C22×D17semidirect
1596. C4⋊Q8C22×D17semidirect
1597. C4⋊Q8C22×D17semidirect
1623. #126C22×D17semidirect
1624. #126C22×D17semidirect
1658. #124C22×D17semidirect
1659. #124C22×D17semidirect
1660. #124C22×D17semidirect
1717. #123C22×D17semidirect
1718. #123C22×D17semidirect
1764. C22⋊Q8C22×D17semidirect
1765. C22⋊Q8C22×D17semidirect
1766. C22⋊Q8C22×D17semidirect
1830. #121C22×D17semidirect
1868. #120C22×D17semidirect
1875. C4×Q8C22×D17semidirect
1876. C4×Q8C22×D17semidirect
1935. C4×D4C22×D17semidirect
1936. C4×D4C22×D17semidirect
1962. #117C22×D17semidirect
1963. #117C22×D17semidirect
1964. #117C22×D17semidirect
1992. C2×C22⋊C4C22×D17semidirect
1999. C17#62729semidirect

Maximal subgroups

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

subgroupindex
#145431072
#145430982
#145430842
#145430752
#145430592
#145430402
#145430272
#145430172
#145430092
#145429862
#145429732
#145429582
#145429492
#145429412
#145429372
#145429242
#145429192
#145423932
#145423872
#145423452
#145423412
#145422732
#145422682
#145422042
#145421952
#145421712
#145421162
#145421152
D17×#5252
C17×#35402
#6272917