Finite Group Databasebeta

← #33966778

Subgroups — #33966778

Order 18688.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623742C211yesmaximal, characteristic, complemented
2#22623730C211yesmaximal, characteristic, complemented
3#22622878C211yesmaximal, characteristic, complemented
4#22622876C211yesmaximal, characteristic, complemented
5#22622871C211yesmaximal, characteristic, complemented
6#22622869C211yesmaximal, characteristic, complemented
7#22622838C211yesmaximal, characteristic, complemented
8#22622836C211yesmaximal, characteristic, complemented
9#22622833C211yesmaximal, characteristic, complemented
10#22622831C211yesmaximal, characteristic, complemented
11#22622831C211yesmaximal, characteristic, complemented
12#22622826C211yesmaximal, characteristic, complemented
13#22622825C211yesmaximal, characteristic, complemented
14#22622798C211yesmaximal, characteristic, complemented
15#22622793C211yesmaximal, characteristic, complemented
16#22622788C211yesmaximal, characteristic, complemented
17#22622786C211yesmaximal, characteristic, complemented
18#22620476C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620456C211yesmaximal, characteristic, complemented
21#22619794C211yesmaximal, characteristic, complemented
22#22619788C211yesmaximal, characteristic, complemented
23#22619757C211yesmaximal, characteristic, complemented
24#22619755C211yesmaximal, characteristic, complemented
25#22619716C211yesmaximal, characteristic, complemented
26#476×D73C211yesmaximal, characteristic, complemented
27#22618876C211yesmaximal, characteristic, complemented
28#22618760C211yesmaximal, characteristic
29#22618756C211yesmaximal, characteristic
30#22618742C211yesmaximal, characteristic
31C73×#3384C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33#17989317C2211yescharacteristic, complemented
34#17989317C2211yescharacteristic, complemented
35#17989315C2211yescharacteristic, complemented
36#17989312C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic
38#17989296C2211yescharacteristic
39#17989296C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic
43#17989293C2211yescharacteristic
44#17989292—21no—
45#17989291—21no—
46#17989291—21no—
47#17989291—21no—
48#17989291—21no—
49D4×Dic146C2211yescharacteristic
50D4×Dic146C2211yescharacteristic, complemented
51#17989252C2211yescharacteristic
52Q8×C22⋊D73—21no—
53#17989250—21no—
54#17989250—21no—
55#17989217C2211yescharacteristic
56#17989216—21no—
57#17989216—21no—
58#17989214C2211yescharacteristic
59#17989214C2211yescharacteristic
60#17989214C2211yescharacteristic
61#17989212—21no—
62#17989212—21no—
63#17989143C2211yescharacteristic
64#17989141C2211yescharacteristic
65#17989139—21no—
66C2×#14556589—21no—
67C4⋊Q8×D73C2211yescharacteristic
68C2×#14556569—21no—
69C22⋊Q8×D73—21no—
70#17989066C2211yescharacteristic
71#17989066C2211yescharacteristic
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic
76#17988997C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988996C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988994C2211yescharacteristic, complemented
81#17988994C2211yescharacteristic, complemented
82#17988994C2211yescharacteristic, complemented
83#17988993C2211yescharacteristic, complemented
84#17988993C2211yescharacteristic, complemented
85#17988993C2211yescharacteristic, complemented
86#17988991C2211yescharacteristic, complemented
87#17988991C2211yescharacteristic, complemented
88#17988989C2211yescharacteristic, complemented
89#17988988C2211yescharacteristic, complemented
90#17988987C2211yescharacteristic, complemented
91#17988986C2211yescharacteristic, complemented
92#17988984C2211yescharacteristic, complemented
93#17988984C2211yescharacteristic, complemented
94#17988984C2211yescharacteristic, complemented
95#17988984C2211yescharacteristic, complemented
96#17988983C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988889C2211yescharacteristic
105#17988889C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic
107#17988888C2211yescharacteristic
108#17988887C2211yescharacteristic
109#17988887C2211yescharacteristic
110#17988887C2211yescharacteristic, complemented
111#17988887C2211yescharacteristic, complemented
112#17988886C2211yescharacteristic
113#17988885C2211yescharacteristic
114#17988885C2211yescharacteristic, complemented
115#17988881C2211yescharacteristic, complemented
116#17988878C2211yescharacteristic
117#17988877C2211yescharacteristic
118#17988877C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic
120#17988876C2211yescharacteristic
121#17988876C2211yescharacteristic
122#17988875C2211yescharacteristic
123#17988875C2211yescharacteristic
124#17988875C2211yescharacteristic
125#17988875C2211yescharacteristic, complemented
126#17988875C2211yescharacteristic, complemented
127#17988875C2211yescharacteristic, complemented
128#17988874C2211yescharacteristic
129#17988874C2211yescharacteristic
130#17988873C2211yescharacteristic, complemented
131#17988871C2211yescharacteristic, complemented
132#17988871C2211yescharacteristic, complemented
133#17988871C2211yescharacteristic, complemented
134#17988869C2211yescharacteristic, complemented
135#17988866C2211yescharacteristic
136#17988865C2211yescharacteristic
137#17988865C2211yescharacteristic, complemented
138#17988864C2211yescharacteristic
139#17988718C2211yescharacteristic, complemented
140#17988716C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144C8×Dic146C2211yescharacteristic, complemented
145#17988711C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic
149#17988696C2211yescharacteristic
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988686C2211yescharacteristic
155#17988684C2211yescharacteristic
156#17988678C2211yescharacteristic
157#17988678C2211yescharacteristic
158C4×#11924017C2211yescharacteristic
159#17988674C2211yescharacteristic
160#17988674C2211yescharacteristic
161C4×#11924016C2211yescharacteristic
162D8×Dic73C2211yescharacteristic
163D8×Dic73C2211yescharacteristic
164C4×#11924013C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988628C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988626C2211yescharacteristic
171#17988626C2211yescharacteristic
172#17988624C2211yescharacteristic
173#17988622C2211yescharacteristic
174#106×D73C2211yescharacteristic
175#106×D73C2211yescharacteristic
176#17988612C2211yescharacteristic
177#17988612C2211yescharacteristic
178C4⋊C8×D73C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic
181#17988580C2211yescharacteristic
182#17988580C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic
186#17988541C2211yescharacteristic
187#17988539C2211yescharacteristic
188#554×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#498×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic
196#476×C73C2211yescharacteristic
197#476×C73C2211yescharacteristic, complemented
198#474×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic
202C4×D8×C73C2211yescharacteristic
203C2×#11924027C2311yescharacteristic
204C22×Dic146—21no—
205C22×Dic146—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210#14556615Q818yescomplemented
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556590—21no—
221#14556590—21no—
222#14556590—21no—
223#14556590—21no—
224#14556590D411yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556589—21no—
235#14556589—21no—
236#14556589—21no—
237#14556589—21no—
238#14556589—21no—
239#14556589—21no—
240#14556589—21no—
241#14556589—21no—
242#14556589—21no—
243#14556589D411yescharacteristic
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581D411yescharacteristic
261#14556581D411yescharacteristic
262#14556571—21no—
263#14556571—21no—
264#14556571—21no—
265#14556571D411yescharacteristic
266#14556570—21no—
267#14556570—21no—
268#14556570—21no—
269#14556570—21no—
270#14556570—21no—
271#14556570—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569D411yescharacteristic
287#14556569D411yescharacteristic
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567D411yescharacteristic
306Q8×Dic73—21no—
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556—21no—
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321C4×D292C2311yescharacteristic
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332#14556553C2311yescharacteristic
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556548C2311yescharacteristic
349#14556548C2311yescharacteristic
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353C2×#11924007—21no—
354C2×#11924007—21no—
355C2×#11924007—21no—
356C2×#11924007—21no—
357C2×#11924007—21no—
358C2×#11924007—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C2×#11924005—21no—
367C2×#11924005—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C2×C4×Dic73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556502C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C22×Q8×C73—21no—
437C2×D8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C2×C4⋊C4×C73—21no—
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C4×C8×C73C2311yescharacteristic
479C23×D73—21no—
480#11924027—22no—
481#11924027C2×Q814yescomplemented
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—82no—
493C2×Dic146—82no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—82no—
499Q8×D73—82no—
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503D4×D73—22no—
504D4×D73C2×Q814yescomplemented
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—82no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525#11924017C2×Q814yescomplemented
526#11924016C2×Q814yescomplemented
527#11924013C2×Q814yescomplemented
528#11924011—22no—
529#11924011C2×Q814yescomplemented
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—22no—
535C8×D73—22no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2×D411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
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#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
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#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C2×Q8×C73—21no—
624C2×Q8×C73—21no—
625C2×Q8×C73—21no—
626C2×Q8×C73—21no—
627C2×Q8×C73—82no—
628C2×Q8×C73C2×D411yescharacteristic
629C2×D4×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637D8×C73C2×Q814yescomplemented
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C42×C73C2411yescharacteristic
666C42×C73C2411yescharacteristic
667C42×C73C2411yescharacteristic
668C23×C73—21no—
669C23×C73—21no—
670C22×D73—21no—
671C22×D73—24no—
672C22×D73—81no—
673C22×D73—81no—
674C22×D73C22×D411yescharacteristic
675Q8×C73—41no—
676Q8×C73—42no—
677Q8×C73—81no—
678Q8×C73—81no—
679Q8×C73—81no—
680D4×C73—21no—
681D4×C73—21no—
682D4×C73C22×Q812yes—
683D4×C73C22×Q812yes—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—42no—
691C2×C4×C73—81no—
692C2×C4×C73—81no—
693C2×C4×C73—81no—
694C2×C4×C73—81no—
695C2×C4×C73—81no—
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C2511yescharacteristic
703C22⋊D73—24no—
704C22⋊D73—24no—
705C2×Dic73—21no—
706C2×Dic73—24no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—42no—
714C2×Dic73—42no—
715C2×Dic73—81no—
716C2×Dic73—81no—
717C2×Dic73—81no—
718C2×Dic73—81no—
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726D292—21no—
727D292C22×Q812yes—
728C4×D73—22no—
729C4×D73—41no—
730C4×D73—42no—
731C4×D73—81no—
732C4×D73—81no—
733C4×D73—81no—
734C4×D73—81no—
735C4×D73—81no—
736C4×D73—81no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73C22×Q812yes—
740C4×D732−1+412yes—
741Dic146—21no—
742Dic146—22no—
743Dic146—22no—
744Dic146—41no—
745Dic146—42no—
746Dic146—42no—
747Dic146—81no—
748Dic146—81no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754Dic146—81no—
755Dic146C22×Q812yes—
756C8×C73—21no—
757C8×C73—21no—
758C8×C73—21no—
759C8×C73C22×Q812yes—
760#10596831—21no—
761#10596831—21no—
762#10596831—21no—
763#10596831C22×Q812yes—
764C22×C73—22no—
765C22×C73—22no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73C23×D411yescharacteristic
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—22no—
774C2×D73—41no—
775C2×D73—41no—
776C2×D73—84no—
777C2×D73D4×Q812yes—
778C4×C73—21no—
779C4×C73—21no—
780C4×C73—21no—
781C4×C73—21no—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73C23×Q811yescharacteristic
791C4×C73C2×2−1+411yescharacteristic
792Dic73—21no—
793Dic73—21no—
794Dic73—21no—
795Dic73—22no—
796Dic73—21no—
797Dic73—21no—
798Dic73—41no—
799Dic73—41no—
800Dic73—41no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73D4×Q812yes—
805Dic73#57712yes—
806#61382—731nomaximal, Sylow
807C2×C73—42no—
808C2×C73—42no—
809C2×C73C2×D4×Q811yescharacteristic
810C2×C73C2×#57711yescharacteristic
811C2×C73#358511yescharacteristic
812D73—22no—
813D73—42no—
814#3503—731no—
815#3501—731no—
816#3388—731no—
817#3388—731no—
818#3388—731no—
819#3388—731no—
820#3385—731no—
821#3385—731no—
822#3384—731no—
823#3384—731no—
824#3384—731no—
825#3384—731no—
826#3384—731no—
827#3384D7311yescharacteristic, complemented
828#3380—731no—
829#3380—731no—
830Q8×SD16—731no—
831Q8×SD16—731no—
832#3165—731no—
833#3163—731no—
834#3163—731no—
835#3084—731no—
836#3084—731no—
837#3081—731no—
838#3081—731no—
839#3076—731no—
840C2×#476—731no—
841#2962—731no—
842#2946—731no—
843#2946—731no—
844C4×AGL(1,ℤ/8)—731no—
845C73#6138211yescharacteristic, complemented, Sylow
846C2×AGL(1,ℤ/8)—731no—
847Q82—731no—
848Q82—731no—
849#557—731no—
850#557—731no—
851#554—731no—
852#554—731no—
853#554—731no—
854#554—731no—
855#554—731no—
856#554—731no—
857#554—731no—
858#554—1461no—
859#554—1461no—
860#554—1461no—
861#554—1461no—
862#554—1461no—
863#554C2×D7311yescharacteristic
864D4×Q8—731no—
865D4×Q8—731no—
866D4×Q8—731no—
867D4×Q8—1461no—
868D4×Q8—1461no—
869D4×Q8—1461no—
870D4×Q8C2×D7311yescharacteristic, complemented
871#544—731no—
872#544—731no—
873#544—731no—
874#544—731no—
875#544—1461no—
876#544—1461no—
877#543—1461no—
878#543—1461no—
879#533—731no—
880#533—731no—
881#533—1461no—
882C2×C4⋊Q8—731no—
883C2×C4⋊Q8—1461no—
884C2×C22⋊Q8—1461no—
885C2×C22⋊Q8—1461no—
886#520—731no—
887#520—731no—
888#518—731no—
889#518—731no—
890C4×#41—731no—
891C2×C4×D4—731no—
892#501—731no—
893#501—731no—
894#501—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501C2×D7311yescharacteristic, complemented
903#501C2×D7311yescharacteristic, complemented
904#500—731no—
905#500—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#499—731no—
910#498—731no—
911#498—731no—
912#498—731no—
913#498—731no—
914#498—731no—
915#498C2×D7311yescharacteristic, complemented
916#479—731no—
917#479—731no—
918#479—731no—
919#479—731no—
920#479—731no—
921#479—731no—
922#478—731no—
923#478—731no—
924#478—731no—
925#478—731no—
926#478—731no—
927#478—731no—
928#478—731no—
929#478—731no—
930#478—731no—
931#478—731no—
932#478—731no—
933#478—731no—
934#478C2×D7311yescharacteristic, complemented
935#478C2×D7311yescharacteristic, complemented
936#477—731no—
937#476—731no—
938#476—731no—
939#476—731no—
940#476—731no—
941#476—731no—
942#476—731no—
943#476—731no—
944#476—731no—
945#476—731no—
946#476—731no—
947#476—731no—
948#476—731no—
949#476—731no—
950#476—731no—
951#476C2×D7311yescharacteristic
952#476C2×D7311yescharacteristic
953#476C2×D7311yescharacteristic, complemented
954#475—731no—
955#475—731no—
956#475—731no—
957#475—731no—
958#475—731no—
959#474—731no—
960#474—731no—
961#474—731no—
962#474—731no—
963#474C2×D7311yescharacteristic
964#446—731no—
965#446—731no—
966#446—731no—
967#446—731no—
968#446—731no—
969#446C2×D7311yescharacteristic, complemented
970C8×Q8—731no—
971C8×Q8—731no—
972#442—731no—
973#442—731no—
974#442—731no—
975#442—731no—
976#442C2×D7311yescharacteristic
977#442C2×D7311yescharacteristic
978#440—731no—
979#440—731no—
980#440—731no—
981#440—731no—
982#440—731no—
983#440—731no—
984C4×SD16—731no—
985C4×SD16—731no—
986C4×SD16—731no—
987C4×SD16—731no—
988C4×SD16—731no—
989C4×SD16—731no—
990C4×D8—731no—
991C4×D8—731no—
992C4×D8—731no—
993C4×D8—731no—
994C4×D8—731no—
995C4×D8C2×D7311yescharacteristic
996#428—731no—
997#428—731no—
998#428—731no—
999#428—731no—
1000#428—731no—
1001#427—731no—
1002#427—731no—
1003C2×#106—731no—
1004C2×#106—731no—
1005#424—731no—
1006#424—731no—
1007C2×C4⋊C8—731no—
1008#418—731no—
1009#417—731no—
1010#416—731no—
1011#416—731no—
1012C2×#102—731no—
1013C2×#102—731no—
1014#405—731no—
1015#405—731no—
1016C4×M16—731no—
1017C2×#41—731no—
1018C22×Q8—21no—
1019C22×Q8—1461no—
1020C22×Q8—1461no—
1021C22×Q8—1461no—
1022C22×Q8—1461no—
1023C22×D4—731no—
1024C23×C4—1461no—
1025AGL(1,ℤ/8)—738no—
1026C2×SD16—731no—
1027C2×SD16—731no—
1028C2×D8—731no—
1029C2×D8C22×D7311yescharacteristic
1030C2×M16—731no—
1031C2×M16—731no—
1032C22×C8—731no—
1033C22×C8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—731no—
1038C4⋊Q8—731no—
1039C4⋊Q8—731no—
1040C4⋊Q8—731no—
1041C4⋊Q8—731no—
1042C4⋊Q8—731no—
1043C4⋊Q8—731no—
1044C4⋊Q8—731no—
1045C4⋊Q8—731no—
1046C4⋊Q8—1461no—
1047C4⋊Q8—1461no—
1048C4⋊Q8—1461no—
1049C4⋊Q8—1461no—
1050C4⋊Q8—1461no—
1051C4⋊Q8—1461no—
1052C4⋊Q8—1461no—
1053C4⋊Q8—1461no—
1054C4⋊Q8—1461no—
1055C4⋊Q8—1461no—
1056C4⋊Q8—1461no—
1057C4⋊Q8—1461no—
1058C4⋊Q8—1461no—
1059C4⋊Q8—1461no—
1060C4⋊Q8C22×D7311yescharacteristic
1061C4⋊Q8C22×D7311yescharacteristic
1062C4⋊Q8C22×D7311yescharacteristic
1063C4⋊Q8C22×D7311yescharacteristic
1064#125—731no—
1065#125—731no—
1066#125—731no—
1067#125—731no—
1068#125—731no—
1069#125—731no—
1070#125—731no—
1071#125—731no—
1072#125—731no—
1073#125—731no—
1074#125—1461no—
1075#125—1461no—
1076#125—1461no—
1077#125—1461no—
1078#125—1461no—
1079#125—1461no—
1080#125—1461no—
1081#125—1461no—
1082#125C22×D7311yescharacteristic
1083#125C22×D7311yescharacteristic
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—731no—
1091C22⋊Q8—731no—
1092C22⋊Q8—731no—
1093C22⋊Q8—731no—
1094C22⋊Q8—1461no—
1095C22⋊Q8—1461no—
1096C22⋊Q8—1461no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118C22⋊Q8—1461no—
1119C22⋊Q8—1461no—
1120C22⋊Q8—1461no—
1121C22⋊Q8—1461no—
1122C22⋊Q8—1461no—
1123C22⋊Q8—1461no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C4×Q8—731no—
1135C4×Q8—731no—
1136C4×Q8—731no—
1137C4×Q8—731no—
1138C4×Q8—731no—
1139C4×Q8—731no—
1140C4×Q8—731no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—1461no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8C22×D7311yescharacteristic
1150C4×D4—731no—
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—731no—
1157C4×D4—731no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—731no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4—1461no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4C22×D7311yescharacteristic
1175C4×D4C22×D7311yescharacteristic
1176C4×D4C22×D7311yescharacteristic
1177C4×D4C22×D7311yescharacteristic
1178C4×D4C22×D7311yescharacteristic
1179C4×D4C22×D7311yescharacteristic
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—731no—
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—1461no—
1193C2×C4⋊C4—1461no—
1194C2×C4⋊C4—1461no—
1195C2×C4⋊C4—1461no—
1196C2×C4⋊C4—1461no—
1197C2×C4⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C22⋊C4—1461no—
1203C2×C22⋊C4—1461no—
1204C2×C22⋊C4—1461no—
1205C2×C22⋊C4—1461no—
1206C2×C22⋊C4—1461no—
1207C2×C42—731no—
1208C2×C42—1461no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107C22×D7311yescharacteristic
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#106—731no—
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106—731no—
1238#106—731no—
1239#106C22×D7311yescharacteristic
1240#106C22×D7311yescharacteristic
1241#106C22×D7311yescharacteristic
1242#106C22×D7311yescharacteristic
1243#106C22×D7311yescharacteristic
1244#106C22×D7311yescharacteristic
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8—731no—
1248C4⋊C8—731no—
1249C4⋊C8—731no—
1250C4⋊C8—731no—
1251C4⋊C8—731no—
1252C4⋊C8—731no—
1253C4⋊C8—731no—
1254C4⋊C8C22×D7311yescharacteristic
1255C4⋊C8C22×D7311yescharacteristic
1256C4⋊C8C22×D7311yescharacteristic
1257#103—731no—
1258#103—731no—
1259#103—731no—
1260#103—731no—
1261#103—731no—
1262#103—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102C22×D7311yescharacteristic
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280#102C22×D7311yescharacteristic
1281#97—731no—
1282#97—731no—
1283#97—731no—
1284#97—731no—
1285#97C22×D7311yescharacteristic
1286#97C22×D7311yescharacteristic
1287C4×C8—731no—
1288C4×C8—731no—
1289C4×C8—731no—
1290C4×C8—731no—
1291C4×C8—731no—
1292C4×C8C22×D7311yescharacteristic
1293C24—1461no—
1294#41—734no—
1295#41—1462no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—21no—
1299C2×Q8—21no—
1300C2×Q8—82no—
1301C2×Q8—5842no—
1302C2×Q8—5842no—
1303C2×Q8—5842no—
1304C2×Q8—5842no—
1305C2×Q8—731no—
1306C2×Q8—731no—
1307C2×Q8—731no—
1308C2×Q8—731no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8—1461no—
1313C2×Q8—1461no—
1314C2×Q8—1461no—
1315C2×Q8—1461no—
1316C2×Q8—1461no—
1317C2×Q8—1461no—
1318C2×Q8—1461no—
1319C2×Q8D4×D7311yescharacteristic
1320C2×D4—734no—
1321C2×D4—731no—
1322C2×D4—1462no—
1323C2×D4—1461no—
1324C2×D4—1461no—
1325C2×D4C23×D7311yescharacteristic
1326C2×D4C23×D7311yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—5842no—
1334C22×C4—731no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339C22×C4—1461no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353SD16—734no—
1354SD16—734no—
1355D8—734no—
1356D8Q8×D7314yescomplemented
1357M16—734no—
1358M16—1462no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—1462no—
1364C2×C8—1462no—
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C2×C8C23×D7311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—731no—
1390C4⋊C4—731no—
1391C4⋊C4—731no—
1392C4⋊C4—731no—
1393C4⋊C4—731no—
1394C4⋊C4—731no—
1395C4⋊C4—731no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4D4×D7311yescharacteristic
1432C4⋊C4D4×D7311yescharacteristic
1433C4⋊C4D4×D7311yescharacteristic
1434C4⋊C4C23×D7311yescharacteristic
1435C4⋊C4C23×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—731no—
1447C22⋊C4—731no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—731no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42—1461no—
1478C42—1461no—
1479C42C23×D7311yescharacteristic
1480C42C23×D7311yescharacteristic
1481C42C23×D7311yescharacteristic
1482C23—21no—
1483C23—21no—
1484C23—5841no—
1485C23—5841no—
1486C23—731no—
1487C23—1464no—
1488C23—1461no—
1489Q8—41no—
1490Q8—42no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—2922no—
1495Q8—2921no—
1496Q8—2922no—
1497Q8—5841no—
1498Q8—5841no—
1499Q8—5841no—
1500Q8—5841no—
1501Q8—5841no—
1502Q8—5841no—
1503Q8—5841no—
1504Q8—5841no—
1505Q8—732no—
1506Q8—1462no—
1507Q8—1462no—
1508Q8—1461no—
1509D4—21no—
1510D4—21no—
1511D4—732no—
1512D4—1464no—
1513D4—1464no—
1514D4—1461no—
1515D4C2×Q8×D7312yes—
1516D4C2×Q8×D7312yes—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—42no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4—2921no—
1530C2×C4—2922no—
1531C2×C4—2922no—
1532C2×C4—2922no—
1533C2×C4—5841no—
1534C2×C4—5841no—
1535C2×C4—5841no—
1536C2×C4—5841no—
1537C2×C4—5841no—
1538C2×C4—5841no—
1539C2×C4—5841no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—731no—
1546C2×C4—731no—
1547C2×C4—732no—
1548C2×C4—732no—
1549C2×C4—731no—
1550C2×C4—731no—
1551C2×C4—731no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—1462no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1464no—
1562C2×C4—1461no—
1563C2×C4C2×D4×D7311yescharacteristic
1564C2×C4C2×D4×D7311yescharacteristic
1565C2×C4C2×D4×D7311yescharacteristic
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C24×D7311yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—732no—
1574C8—1461no—
1575C8—1461no—
1576C8—1461no—
1577C8C2×Q8×D7312yes—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—2921no—
1585C22—2921no—
1586C22—5844no—
1587C22—732no—
1588C22—1462no—
1589C22—1461no—
1590C22—1461no—
1591C22C22×D4×D7311yescharacteristic
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—2921no—
1605C4—2921no—
1606C4—2921no—
1607C4—2921no—
1608C4—2921no—
1609C4—2921no—
1610C4—732no—
1611C4—732no—
1612C4—1462no—
1613C4—1461no—
1614C4—1461no—
1615C4—1461no—
1616C4—1461no—
1617C4—1461no—
1618C4C22×Q8×D7311yescharacteristic
1619C42−1+4×D7311yescharacteristic
1620C2—42no—
1621C2—42no—
1622C2—2922no—
1623C2—1462no—
1624C2D4×Q8×D7311yescharacteristic
1625C2#577×D7311yescharacteristic
1626C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3384C2
socleC22×C73C23×D4
prime radicalC2×#14556615C22
hypercenter#3384D73
hypocenterC73#61382
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #22623742C2semidirect
2. #22623730C2semidirect
3. #22622878C2semidirect
4. #22622876C2semidirect
5. #22622871C2semidirect
6. #22622869C2semidirect
7. #22622838C2semidirect
8. #22622836C2semidirect
9. #22622833C2semidirect
10. #22622831C2semidirect
11. #22622831C2semidirect
12. #22622826C2semidirect
13. #22622825C2semidirect
14. #22622798C2semidirect
15. #22622793C2semidirect
16. #22622788C2semidirect
17. #22622786C2semidirect
18. #22620476C2semidirect
19. #22620458C2semidirect
20. #22620456C2semidirect
21. #22619794C2semidirect
22. #22619788C2semidirect
23. #22619757C2semidirect
24. #22619755C2semidirect
25. #22619716C2semidirect
26. #476×D73C2semidirect
27. #22618876C2semidirect
31. C73×#3384C2semidirect
33. #17989317C22semidirect
34. #17989317C22semidirect
35. #17989315C22semidirect
36. #17989312C22semidirect
40. #17989296C22semidirect
41. #17989296C22semidirect
50. D4×Dic146C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988995C22semidirect
80. #17988994C22semidirect
81. #17988994C22semidirect
82. #17988994C22semidirect
83. #17988993C22semidirect
84. #17988993C22semidirect
85. #17988993C22semidirect
86. #17988991C22semidirect
87. #17988991C22semidirect
88. #17988989C22semidirect
89. #17988988C22semidirect
90. #17988987C22semidirect
91. #17988986C22semidirect
92. #17988984C22semidirect
93. #17988984C22semidirect
94. #17988984C22semidirect
95. #17988984C22semidirect
96. #17988983C22semidirect
97. #17988897C22semidirect
98. #17988895C22semidirect
99. #17988895C22semidirect
100. #17988893C22semidirect
101. #17988891C22semidirect
102. #17988891C22semidirect
105. #17988889C22semidirect
110. #17988887C22semidirect
111. #17988887C22semidirect
114. #17988885C22semidirect
115. #17988881C22semidirect
118. #17988877C22semidirect
125. #17988875C22semidirect
126. #17988875C22semidirect
127. #17988875C22semidirect
130. #17988873C22semidirect
131. #17988871C22semidirect
132. #17988871C22semidirect
133. #17988871C22semidirect
134. #17988869C22semidirect
137. #17988865C22semidirect
139. #17988718C22semidirect
140. #17988716C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
144. C8×Dic146C22semidirect
145. #17988711C22semidirect
189. D4×Q8×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #498×C73C22semidirect
193. #478×C73C22semidirect
194. #478×C73C22semidirect
197. #476×C73C22semidirect
199. #446×C73C22semidirect
210. #14556615Q8semidirect
481. #11924027C2×Q8semidirect
504. D4×D73C2×Q8semidirect
525. #11924017C2×Q8semidirect
526. #11924016C2×Q8semidirect
527. #11924013C2×Q8semidirect
529. #11924011C2×Q8semidirect
637. D8×C73C2×Q8semidirect
827. #3384D73semidirect
845. C73#61382semidirect
870. D4×Q8C2×D73semidirect
902. #501C2×D73semidirect
903. #501C2×D73semidirect
915. #498C2×D73semidirect
934. #478C2×D73semidirect
935. #478C2×D73semidirect
953. #476C2×D73semidirect
969. #446C2×D73semidirect
1356. D8Q8×D73semidirect

Maximal subgroups

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

subgroupindex
#226237422
#226237302
#226228782
#226228762
#226228712
#226228692
#226228382
#226228362
#226228332
#226228312
#226228262
#226228252
#226227982
#226227932
#226227882
#226227862
#226204762
#226204582
#226204562
#226197942
#226197882
#226197572
#226197552
#226197162
#476×D732
#226188762
#226187602
#226187562
#226187422
C73×#33842
#6138273