Finite Group Databasebeta

← #33968166

Subgroups — #33968166

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623543C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22622957C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622709C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622461C211yesmaximal, characteristic, complemented
8#22622454C211yesmaximal, characteristic, complemented
9#22622337C211yesmaximal, characteristic, complemented
10#22622028C211yesmaximal, characteristic, complemented
11#22621969C211yesmaximal, characteristic, complemented
12#22621962C211yesmaximal, characteristic, complemented
13#22621855C211yesmaximal, characteristic, complemented
14#22621843C211yesmaximal, characteristic, complemented
15#22621646C211yesmaximal, characteristic, complemented
16#22621459C211yesmaximal, characteristic, complemented
17#22621457C211yesmaximal, characteristic, complemented
18#22620671C211yesmaximal, characteristic, complemented
19#22620639C211yesmaximal, characteristic, complemented
20#22620635C211yesmaximal, characteristic, complemented
21#22620092C211yesmaximal, characteristic, complemented
22#22620088C211yesmaximal, characteristic, complemented
23#22620086C211yesmaximal, characteristic, complemented
24#22620045C211yesmaximal, characteristic, complemented
25#22620041C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618744C211yesmaximal, characteristic, complemented
29#22618727C211yesmaximal, characteristic, complemented
30#22618726C211yesmaximal, characteristic, complemented
31C73×#3315C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic
37#17989308C2211yescharacteristic
38#17989308C2211yescharacteristic, complemented
39#17989307C2211yescharacteristic
40#17989300C2211yescharacteristic
41#17989293C2211yescharacteristic
42#17989288—21no—
43#17989274—21no—
44#17989274—21no—
45#17989272—21no—
46#17989272C2211yescharacteristic
47#17989269—21no—
48#17989261—21no—
49#17989260—21no—
50D4×Dic146C2211yescharacteristic, complemented
51#17989243—21no—
52#17989239C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989236C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989139C2211yescharacteristic
59#17989139C2211yescharacteristic
60#17989139C2211yescharacteristic, complemented
61#17989123C2211yescharacteristic
62#17989122—21no—
63#17989122C2211yescharacteristic
64#17989120—21no—
65#17989118—21no—
66#17989114—21no—
67#17989114—21no—
68#17989095—21no—
69#41×Dic73C2211yescharacteristic
70#41×Dic73C2211yescharacteristic, complemented
71C4×#11924029C2211yescharacteristic
72#17989055C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×#11924027C2211yescharacteristic, complemented
75C2×#14556556—21no—
76C2×#14556553C2211yescharacteristic
77#117×D73—21no—
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic
82#17988979C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic
86#17988947C2211yescharacteristic
87#17988936C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic
91#17988928C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988926C2211yescharacteristic, complemented
94#17988925C2211yescharacteristic
95#17988925C2211yescharacteristic, complemented
96#17988922C2211yescharacteristic
97#17988913C2211yescharacteristic
98#17988912C2211yescharacteristic
99#17988896C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988882C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988878C2211yescharacteristic
106#17988876C2211yescharacteristic
107#17988875C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988866C2211yescharacteristic
110#17988845C2211yescharacteristic
111#17988843C2211yescharacteristic
112#17988843C2211yescharacteristic
113#17988827C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic
117#17988819C2211yescharacteristic
118#17988818C2211yescharacteristic
119#17988816C2211yescharacteristic
120#17988811C2211yescharacteristic
121#17988810C2211yescharacteristic
122#17988804C2211yescharacteristic
123#17988802C2211yescharacteristic
124#17988796C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic
127#17988791C2211yescharacteristic
128#17988791C2211yescharacteristic
129#17988790C2211yescharacteristic, complemented
130#17988789C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988750C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic
134#17988748C2211yescharacteristic
135#17988748C2211yescharacteristic
136#17988747C2211yescharacteristic
137#17988740C2211yescharacteristic
138#17988737C2211yescharacteristic
139#17988733C2211yescharacteristic
140#17988732C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988697C2211yescharacteristic
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988694C2211yescharacteristic, complemented
148#17988694C2211yescharacteristic, complemented
149#17988693C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988691C2211yescharacteristic, complemented
154#17988691C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic
156#17988690C2211yescharacteristic
157#17988690C2211yescharacteristic
158#17988690C2211yescharacteristic
159#17988690C2211yescharacteristic
160#17988689C2211yescharacteristic
161#17988688C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic
163#17988686C2211yescharacteristic
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic
167#17988672C2211yescharacteristic
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic
170#17988661C2211yescharacteristic
171#17988659C2211yescharacteristic
172#17988656C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic
179#17988624C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988584C2211yescharacteristic
183#17988582C2211yescharacteristic
184#17988580C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic
195#467×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146—21no—
208C22×D292C2311yescharacteristic
209C22×C4×D73—21no—
210#14556616—24no—
211#14556612—24no—
212#14556611—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C22×#10596831C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556573—21no—
273#14556572—21no—
274#14556572—21no—
275#14556571—21no—
276#14556571—21no—
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556563—21no—
300#14556561—21no—
301#14556559—21no—
302Q8×Dic73C2311yescharacteristic
303Q8×Dic73C2311yescharacteristic
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556D411yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321C4×D292—21no—
322C4×D292C2311yescharacteristic
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73D411yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73C2311yescharacteristic
342C4×C22⋊D73C2311yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551D411yescharacteristic
348#14556551D411yescharacteristic
349#14556550—21no—
350#14556550—21no—
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549D411yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C2×C4×Dic73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450#123×C73—21no—
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462C2×C4⋊C4×C73—21no—
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924028—22no—
485#11924028—41no—
486#11924027—22no—
487#11924027—41no—
488#11924027—42no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—44no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—41no—
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
516C22×Dic73C2×D411yescharacteristic
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—44no—
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529Dic292—41no—
530#11924018—22no—
531#11924018—22no—
532#11924018—41no—
533#11924017—22no—
534#11924017—41no—
535#11924016—22no—
536#11924015—22no—
537#11924015—22no—
538#11924015—22no—
539#11924015—41no—
540#11924013—22no—
541#11924013#4114yescomplemented
542#11924012—22no—
543C2×#10596831—22no—
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C8×D73—22no—
549C8×D73—41no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637#41×C73—22no—
638#41×C73—22no—
639#41×C73—41no—
640#41×C73—41no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73C2×D411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73C2411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—41no—
655Q16×C73—41no—
656SD16×C73—22no—
657M16×C73—41no—
658C2×C8×C73—41no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—81no—
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—21no—
703Q8×C73—21no—
704D4×C73—21no—
705D4×C73—41no—
706D4×C73—42no—
707D4×C73—42no—
708D4×C73C2×#4112yes—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—42no—
721C2×C4×C73—42no—
722C2×C4×C73—42no—
723C2×C4×C73—42no—
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C2511yescharacteristic
729C22⋊D73—22no—
730C22⋊D73—41no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—81no—
734C2×Dic73—22no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—41no—
742C2×Dic73—41no—
743C2×Dic73—41no—
744C2×Dic73—42no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755D292—21no—
756D292—21no—
757D292—21no—
758D292—42no—
759D292—42no—
760D292—81no—
761D292C2×#4112yes—
762C4×D73—21no—
763C4×D73—21no—
764C4×D73—41no—
765C4×D73—41no—
766C4×D73—42no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—81no—
773C4×D73—81no—
774Dic146—22no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—21no—
779Dic146—42no—
780Dic146—42no—
781Dic146—42no—
782Dic146—81no—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—22no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73C23×D411yescharacteristic
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—22no—
804C2×D73—21no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—21no—
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#57512yes—
837#61461—731nomaximal, Sylow
838C2×C73—41no—
839C2×C73—41no—
840C2×C73—42no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—41no—
845D73—42no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3398—731no—
850#3384—731no—
851#3372—731no—
852#3367—731no—
853#3349—731no—
854#3349—731no—
855#3340—731no—
856#3315—731no—
857#3315D7311yescharacteristic, complemented
858#3311—731no—
859#3311—731no—
860#3303—731no—
861#3302—731no—
862#3283—731no—
863#3267—731no—
864#3267—731no—
865#3185—731no—
866#3181—731no—
867#3181—731no—
868#3116—731no—
869#3116—731no—
870#3116—731no—
871#3111—731no—
872#3111—731no—
873#3110—731no—
874#2970—731no—
875C4×AGL(1,ℤ/8)—731no—
876#2943—731no—
877#2943—731no—
878C73#6146111yescharacteristic, complemented, Sylow
879C2×AGL(1,ℤ/8)—731no—
880C2×#135—731no—
881C2×#135—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—731no—
886#556—731no—
887#555—731no—
888#554—731no—
889#553—1461no—
890#552—731no—
891#552—1461no—
892#552—1461no—
893#552—1461no—
894#552—1461no—
895#552C2×D7311yescharacteristic
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—1461no—
900#547—731no—
901#547—731no—
902#547—731no—
903#547C2×D7311yescharacteristic
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—731no—
909#533—731no—
910#529—731no—
911#529—731no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—731no—
923C4×#41—731no—
924C2×C4×Q8—1461no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#498—731no—
930#497—731no—
931#497—731no—
932#494—731no—
933#491—731no—
934#491C2×D7311yescharacteristic, complemented
935#489—731no—
936#489—731no—
937#487—731no—
938#487—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#485—731no—
944#485—731no—
945#485—731no—
946#485C2×D7311yescharacteristic, complemented
947#484—731no—
948#484C2×D7311yescharacteristic
949#482—731no—
950#482—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478C2×D7311yescharacteristic, complemented
955#477—731no—
956#477—731no—
957#477—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#470—731no—
964#470—731no—
965#470—731no—
966#470C2×D7311yescharacteristic
967#467—731no—
968#467—731no—
969#467—731no—
970#467C2×D7311yescharacteristic, complemented
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#463—731no—
978#463—731no—
979#462—731no—
980#462—731no—
981#462C2×D7311yescharacteristic, complemented
982#461—731no—
983#461—731no—
984#461—731no—
985#461—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#452—731no—
992#452—731no—
993#452C2×D7311yescharacteristic
994#452C2×D7311yescharacteristic, complemented
995#450—731no—
996#450—731no—
997#449—731no—
998#449—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#441—731no—
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440C2×D7311yescharacteristic, complemented
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×D8—731no—
1028C4×D8—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435C2×D7311yescharacteristic
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040#427—731no—
1041#418—731no—
1042#417C2×D7311yescharacteristic
1043#416—731no—
1044#416—731no—
1045#416—731no—
1046#416C2×D7311yescharacteristic, complemented
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41C22×D7311yescharacteristic
1055C2×#41C22×D7311yescharacteristic
1056C22×Q8—1461no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059AGL(1,ℤ/8)—1464no—
1060#135—1464no—
1061#135—1464no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16C22×D7311yescharacteristic
1067C2×Q16C22×D7311yescharacteristic
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16C22×D7311yescharacteristic
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—731no—
1089C4⋊Q8—731no—
1090C4⋊Q8—731no—
1091C4⋊Q8C22×D7311yescharacteristic
1092#126—21no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#126—1461no—
1103#126—1461no—
1104#125—21no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125C22×D7311yescharacteristic
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156C22⋊Q8C22×D7311yescharacteristic
1157#121—21no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8C22×D7311yescharacteristic
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—731no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240#117C22×D7311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42—1461no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103C22×D7311yescharacteristic
1294#103C22×D7311yescharacteristic
1295#103C22×D7311yescharacteristic
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—22no—
1331#41—41no—
1332#41—41no—
1333#41—2921no—
1334#41—2921no—
1335#41—2922no—
1336#41—2921no—
1337#41—1462no—
1338#41—1462no—
1339#41—1462no—
1340C2×Q8—2924no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1461no—
1348C2×Q8C23×D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—2921no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1462no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4D4×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—2924no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—41no—
1394Q16—41no—
1395Q16—2921no—
1396Q16—2921no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—2921no—
1401SD16—2921no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—734no—
1408D8—1462no—
1409M16—41no—
1410M16—1462no—
1411C2×C8—41no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4D4×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4D4×D7311yescharacteristic
1510C22⋊C4D4×D7311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—2922no—
1538C23—2922no—
1539C23—5841no—
1540C23—731no—
1541C23—1461no—
1542C23—1461no—
1543C23C2×D4×D7311yescharacteristic
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—2922no—
1552Q8—2922no—
1553Q8—2922no—
1554Q8—5841no—
1555Q8—1462no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—41no—
1562D4—42no—
1563D4—42no—
1564D4—2922no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2921no—
1569D4—5841no—
1570D4—5841no—
1571D4—732no—
1572D4—1462no—
1573D4—1461no—
1574D4—1461no—
1575D4—1461no—
1576D4#41×D7312yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—2922no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2921no—
1605C2×C4—2921no—
1606C2×C4—2921no—
1607C2×C4—5841no—
1608C2×C4—5841no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—731no—
1614C2×C4—731no—
1615C2×C4—731no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1462no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—5844no—
1653C22—1461no—
1654C22—1462no—
1655C22—1461no—
1656C22—1461no—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—732no—
1676C4—1461no—
1677C4—1461no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942211yescharacteristic
1684C2—41no—
1685C2—41no—
1686C2—42no—
1687C2—2922no—
1688C2—2921no—
1689C2—5841no—
1690C2#2262341511yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3315C2
socleC22×C73C23×D4
hypercenter#3315D73
hypocenterC73#61461
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #22623543C2semidirect
2. #22623496C2semidirect
3. #22622957C2semidirect
4. #22622833C2semidirect
5. #22622709C2semidirect
6. #22622650C2semidirect
7. #22622461C2semidirect
8. #22622454C2semidirect
9. #22622337C2semidirect
10. #22622028C2semidirect
11. #22621969C2semidirect
12. #22621962C2semidirect
13. #22621855C2semidirect
14. #22621843C2semidirect
15. #22621646C2semidirect
16. #22621459C2semidirect
17. #22621457C2semidirect
18. #22620671C2semidirect
19. #22620639C2semidirect
20. #22620635C2semidirect
21. #22620092C2semidirect
22. #22620088C2semidirect
23. #22620086C2semidirect
24. #22620045C2semidirect
25. #22620041C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618744C2semidirect
29. #22618727C2semidirect
30. #22618726C2semidirect
31. C73×#3315C2semidirect
35. #17989312C22semidirect
38. #17989308C22semidirect
50. D4×Dic146C22semidirect
54. #17989236C22semidirect
57. #17989142C22semidirect
60. #17989139C22semidirect
70. #41×Dic73C22semidirect
74. C4×#11924027C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988984C22semidirect
83. #17988965C22semidirect
84. #17988954C22semidirect
87. #17988936C22semidirect
88. #17988936C22semidirect
89. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988926C22semidirect
93. #17988926C22semidirect
95. #17988925C22semidirect
99. #17988896C22semidirect
100. #17988891C22semidirect
101. #17988889C22semidirect
102. #17988882C22semidirect
103. #17988881C22semidirect
104. #17988880C22semidirect
107. #17988875C22semidirect
113. #17988827C22semidirect
114. #17988827C22semidirect
115. #17988826C22semidirect
124. #17988796C22semidirect
125. #17988795C22semidirect
129. #17988790C22semidirect
132. #17988750C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
147. #17988694C22semidirect
148. #17988694C22semidirect
149. #17988693C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
153. #17988691C22semidirect
154. #17988691C22semidirect
161. #17988688C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
177. #17988641C22semidirect
179. #17988624C22semidirect
180. #17988623C22semidirect
184. #17988580C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
193. #478×C73C22semidirect
195. #467×C73C22semidirect
196. #462×C73C22semidirect
198. #452×C73C22semidirect
199. #440×C73C22semidirect
202. #416×C73C22semidirect
541. #11924013#41semidirect
857. #3315D73semidirect
878. C73#61461semidirect
934. #491C2×D73semidirect
946. #485C2×D73semidirect
954. #478C2×D73semidirect
970. #467C2×D73semidirect
981. #462C2×D73semidirect
994. #452C2×D73semidirect
1024. #440C2×D73semidirect
1046. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235432
#226234962
#226229572
#226228332
#226227092
#226226502
#226224612
#226224542
#226223372
#226220282
#226219692
#226219622
#226218552
#226218432
#226216462
#226214592
#226214572
#226206712
#226206392
#226206352
#226200922
#226200882
#226200862
#226200452
#226200412
#226200272
#226189412
#226187442
#226187272
#226187262
C73×#33152
#6146173