Finite Group Databasebeta

← #33966833

Subgroups — #33966833

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623751C211yesmaximal, characteristic, complemented
2#22623726C211yesmaximal, characteristic, complemented
3#22622890C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622885C211yesmaximal, characteristic, complemented
6#22622884C211yesmaximal, characteristic, complemented
7#22622878C211yesmaximal, characteristic, complemented
8#22622875C211yesmaximal, characteristic, complemented
9#22622873C211yesmaximal, characteristic, complemented
10#22622869C211yesmaximal, characteristic, complemented
11#22622852C211yesmaximal, characteristic, complemented
12#22622849C211yesmaximal, characteristic, complemented
13#22622825C211yesmaximal, characteristic, complemented
14#22622811C211yesmaximal, characteristic, complemented
15#22622801C211yesmaximal, characteristic, complemented
16#22622798C211yesmaximal, characteristic, complemented
17#22622797C211yesmaximal, characteristic, complemented
18#22620482C211yesmaximal, characteristic, complemented
19#22620466C211yesmaximal, characteristic, complemented
20#22620456C211yesmaximal, characteristic, complemented
21#22619788C211yesmaximal, characteristic, complemented
22#22619777C211yesmaximal, characteristic, complemented
23#22619761C211yesmaximal, characteristic, complemented
24#22619757C211yesmaximal, characteristic, complemented
25#22619720C211yesmaximal, characteristic, complemented
26#478×D73C211yesmaximal, characteristic, complemented
27#22618876C211yesmaximal, characteristic, complemented
28#22618760C211yesmaximal, characteristic
29#22618756C211yesmaximal, characteristic
30#22618742C211yesmaximal, characteristic
31C73×#3384C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33#17989315C2211yescharacteristic, complemented
34#17989314C2211yescharacteristic, complemented
35#17989314C2211yescharacteristic, complemented
36#17989312C2211yescharacteristic, complemented
37#17989298C2211yescharacteristic
38#17989298C2211yescharacteristic
39#17989297C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989296C2211yescharacteristic
42#17989296C2211yescharacteristic, complemented
43#17989296C2211yescharacteristic, complemented
44#17989295—21no—
45#17989295—21no—
46#17989294C2211yescharacteristic
47#17989294C2211yescharacteristic, complemented
48#17989292—21no—
49#17989291—21no—
50#17989291—21no—
51#17989291—21no—
52#17989291—21no—
53#17989252C2211yescharacteristic
54Q8×C22⋊D73—21no—
55#17989217C2211yescharacteristic
56#17989216—21no—
57#17989216—21no—
58#17989214C2211yescharacteristic
59#17989214C2211yescharacteristic
60#17989214C2211yescharacteristic
61#17989212—21no—
62#17989212—21no—
63#17989142C2211yescharacteristic
64#17989141C2211yescharacteristic
65#17989139—21no—
66C2×#14556581—21no—
67#125×D73C2211yescharacteristic
68C2×#14556567—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#17988990C2211yescharacteristic, complemented
88#17988989C2211yescharacteristic, complemented
89#17988988C2211yescharacteristic, complemented
90#17988988C2211yescharacteristic, complemented
91#17988987C2211yescharacteristic, complemented
92#17988987C2211yescharacteristic, complemented
93#17988987C2211yescharacteristic, complemented
94#17988987C2211yescharacteristic, complemented
95#17988986C2211yescharacteristic, complemented
96#17988984C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988889C2211yescharacteristic
105#17988889C2211yescharacteristic
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic, complemented
110#17988888C2211yescharacteristic
111#17988888C2211yescharacteristic
112#17988887C2211yescharacteristic
113#17988887C2211yescharacteristic
114#17988887C2211yescharacteristic, complemented
115#17988887C2211yescharacteristic, complemented
116#17988886C2211yescharacteristic
117#17988886C2211yescharacteristic
118#17988886C2211yescharacteristic
119#17988885C2211yescharacteristic
120#17988885C2211yescharacteristic, complemented
121#17988884C2211yescharacteristic
122#17988884C2211yescharacteristic
123#17988881C2211yescharacteristic, complemented
124#17988879C2211yescharacteristic, complemented
125#17988879C2211yescharacteristic, complemented
126#17988878C2211yescharacteristic
127#17988876C2211yescharacteristic
128#17988875C2211yescharacteristic
129#17988875C2211yescharacteristic, complemented
130#17988873C2211yescharacteristic, complemented
131#17988871C2211yescharacteristic, complemented
132#17988869C2211yescharacteristic, complemented
133#17988867C2211yescharacteristic
134#17988867C2211yescharacteristic, 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#17988622C2211yescharacteristic
173#17988622C2211yescharacteristic
174#107×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, complemented
189D4×Q8×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#498×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#478×C73C2211yescharacteristic
195#476×C73C2211yescharacteristic
196#476×C73C2211yescharacteristic, complemented
197#476×C73C2211yescharacteristic, complemented
198#474×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic
202C4×D8×C73C2211yescharacteristic
203C2×#11924027C2311yescharacteristic
204C2×Q8×D73—21no—
205C2×D4×D73C2311yescharacteristic
206C22×C4×D73—21no—
207#14556615Q818yescomplemented
208C2×#11924017C2311yescharacteristic
209C2×#11924016C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924011C2311yescharacteristic
212C2×#11924011C2311yescharacteristic
213C2×C8×D73C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556591C2311yescharacteristic
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590D411yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556589—21no—
226#14556589—21no—
227#14556589—21no—
228#14556589—21no—
229#14556589—21no—
230#14556589D411yescharacteristic
231#14556583C2311yescharacteristic
232#14556583C2311yescharacteristic
233#14556583C2311yescharacteristic
234#14556583C2311yescharacteristic
235#14556582C2311yescharacteristic
236#14556582C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556581D411yescharacteristic
259#14556571—21no—
260#14556571—21no—
261#14556571—21no—
262#14556571—21no—
263#14556571D411yescharacteristic
264#14556570—21no—
265#14556570—21no—
266#14556570—21no—
267#14556570—21no—
268#14556570—21no—
269#14556570—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569D411yescharacteristic
279#14556569D411yescharacteristic
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556567—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567D411yescharacteristic
303Q8×Dic73—21no—
304Q8×Dic73—21no—
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556548C2311yescharacteristic
346#14556548C2311yescharacteristic
347#14556547—21no—
348#14556547—21no—
349#14556547—21no—
350C2×C4⋊Dic73—21no—
351C2×C4⋊Dic73—21no—
352C2×#11924007—21no—
353C2×#11924007—21no—
354C2×#11924007—21no—
355C2×#11924007—21no—
356C2×#11924007—21no—
357C2×#11924007—21no—
358C4⋊C4×D73—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#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
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×Dic146C2×D411yescharacteristic
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492Q8×D73—82no—
493C2×D292C2411yescharacteristic
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496D4×D73—22no—
497D4×D73C2×Q814yes—
498C22×Dic73—21no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—82no—
515C2×C4×D73C2×D411yescharacteristic
516C2×C4×D73C2×D411yescharacteristic
517C2×C4×D73C2411yescharacteristic
518#11924017C2×Q814yescomplemented
519#11924016C2×Q814yescomplemented
520#11924013C2×Q814yescomplemented
521#11924011—22no—
522#11924011C2×Q814yescomplemented
523C2×#10596831C2411yescharacteristic
524C2×#10596831C2411yescharacteristic
525C2×#10596831C2411yescharacteristic
526C2×#10596831C2411yescharacteristic
527C8×D73—22no—
528C8×D73—22no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73C2×D411yescharacteristic
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
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#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C2×Q8×C73—21no—
621C2×Q8×C73—21no—
622C2×Q8×C73—21no—
623C2×Q8×C73—21no—
624C2×Q8×C73—82no—
625C2×Q8×C73C2×D411yescharacteristic
626C2×D4×C73C2411yescharacteristic
627C2×D4×C73C2411yescharacteristic
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73—21no—
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634D8×C73C2×Q814yescomplemented
635C2×C8×C73C2411yescharacteristic
636C2×C8×C73C2411yescharacteristic
637C2×C8×C73C2411yescharacteristic
638C2×C8×C73C2411yescharacteristic
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2×D411yescharacteristic
649C4⋊C4×C73C2×D411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C42×C73C2411yescharacteristic
663C42×C73C2411yescharacteristic
664C42×C73C2411yescharacteristic
665C23×C73—21no—
666C23×C73—21no—
667C22×D73—21no—
668C22×D73—24no—
669C22×D73—81no—
670C22×D73—81no—
671C22×D73C22×D411yescharacteristic
672Q8×C73—41no—
673Q8×C73—42no—
674Q8×C73—81no—
675Q8×C73—81no—
676Q8×C73—81no—
677D4×C73—21no—
678D4×C73—21no—
679D4×C73C22×Q812yes—
680D4×C73C22×Q812yes—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—42no—
688C2×C4×C73—81no—
689C2×C4×C73—81no—
690C2×C4×C73—81no—
691C2×C4×C73—81no—
692C2×C4×C73—81no—
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C2511yescharacteristic
700C22⋊D73—24no—
701C22⋊D73—24no—
702C2×Dic73—21no—
703C2×Dic73—24no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—81no—
711C2×Dic73—81no—
712C2×Dic73—81no—
713C2×Dic73—81no—
714C2×Dic73—81no—
715C2×Dic73—81no—
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723D292—21no—
724D292C22×Q812yes—
725C4×D73—41no—
726C4×D73—41no—
727C4×D73—42no—
728C4×D73—81no—
729C4×D73—81no—
730C4×D73—81no—
731C4×D73—81no—
732C4×D73—81no—
733C4×D73—81no—
734C4×D73—81no—
735C4×D73—81no—
736C4×D73C22×Q812yes—
737C4×D732−1+412yes—
738Dic146—21no—
739Dic146—41no—
740Dic146—41no—
741Dic146—41no—
742Dic146—81no—
743Dic146—81no—
744Dic146—81no—
745Dic146—81no—
746Dic146—81no—
747Dic146—81no—
748Dic146C22×Q812yes—
749C8×C73—21no—
750C8×C73—21no—
751C8×C73—21no—
752C8×C73C22×Q812yes—
753#10596831—21no—
754#10596831—21no—
755#10596831—21no—
756#10596831C22×Q812yes—
757C22×C73—22no—
758C22×C73—22no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73C23×D411yescharacteristic
764C2×D73—21no—
765C2×D73—21no—
766C2×D73—22no—
767C2×D73—41no—
768C2×D73—41no—
769C2×D73—84no—
770C2×D73D4×Q812yes—
771C4×C73—21no—
772C4×C73—21no—
773C4×C73—21no—
774C4×C73—21no—
775C4×C73—21no—
776C4×C73—21no—
777C4×C73—41no—
778C4×C73—41no—
779C4×C73—41no—
780C4×C73—41no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73C23×Q811yescharacteristic
784C4×C73C2×2−1+411yescharacteristic
785Dic73—21no—
786Dic73—21no—
787Dic73—21no—
788Dic73—21no—
789Dic73—21no—
790Dic73—21no—
791Dic73—22no—
792Dic73—41no—
793Dic73—41no—
794Dic73—41no—
795Dic73—41no—
796Dic73—41no—
797Dic73—41no—
798Dic73D4×Q812yes—
799#61385—731nomaximal, Sylow
800C2×C73—42no—
801C2×C73—42no—
802C2×C73C2×D4×Q811yescharacteristic
803C2×C73#358411yescharacteristic
804C2×C73#358511yescharacteristic
805D73—22no—
806D73—42no—
807#3504—731no—
808#3501—731no—
809#3389—731no—
810#3389—731no—
811#3389—731no—
812#3389—731no—
813#3388—731no—
814#3388—731no—
815#3388—731no—
816#3388—731no—
817#3386—731no—
818#3386—731no—
819#3384—731no—
820#3384D7311yescharacteristic, complemented
821#3381—731no—
822#3381—731no—
823#3380—731no—
824#3380—731no—
825#3166—731no—
826#3164—731no—
827#3163—731no—
828#3084—731no—
829#3083—731no—
830#3081—731no—
831#3081—731no—
832#3076—731no—
833C2×#478—731no—
834#2962—731no—
835#2946—731no—
836#2946—731no—
837C4×AGL(1,ℤ/8)—731no—
838C73#6138511yescharacteristic, complemented, Sylow
839C2×AGL(1,ℤ/8)—731no—
840#557—731no—
841#557—731no—
842#557—731no—
843#557—731no—
844#554—731no—
845#554—731no—
846#554—731no—
847#554—731no—
848#554—731no—
849#554—731no—
850#554—731no—
851#554—731no—
852#554—731no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#554—1461no—
859#554—1461no—
860#554C2×D7311yescharacteristic, complemented
861D4×Q8—731no—
862D4×Q8—1461no—
863D4×Q8C2×D7311yescharacteristic
864#544—731no—
865#544—731no—
866#544—731no—
867#544—731no—
868#544—1461no—
869#544—1461no—
870#543—1461no—
871#543—1461no—
872#533—731no—
873#533—731no—
874#533—1461no—
875C2×#125—731no—
876C2×#125—1461no—
877C2×C22⋊Q8—1461no—
878C2×C22⋊Q8—1461no—
879#520—731no—
880#520—731no—
881#518—731no—
882#518—731no—
883C4×#41—731no—
884C2×C4×D4—731no—
885#501—731no—
886#501—731no—
887#501—731no—
888#501—731no—
889#501—731no—
890#501—731no—
891#501—731no—
892#501—731no—
893#501—731no—
894#501—731no—
895#501C2×D7311yescharacteristic, complemented
896#501C2×D7311yescharacteristic, complemented
897#500—731no—
898#500—731no—
899#499—731no—
900#499—731no—
901#499—731no—
902#499—731no—
903#499—731no—
904#499—731no—
905#499—731no—
906#499—731no—
907#498—731no—
908#498C2×D7311yescharacteristic, complemented
909#479—731no—
910#479—731no—
911#479—731no—
912#479—731no—
913#479—731no—
914#479—731no—
915#478—731no—
916#478—731no—
917#478—731no—
918#478—731no—
919#478—731no—
920#478—731no—
921#478—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#478—731no—
935#478C2×D7311yescharacteristic
936#478C2×D7311yescharacteristic
937#477—731no—
938#477—731no—
939#477—731no—
940#476—731no—
941#476—731no—
942#476—731no—
943#476—731no—
944#476C2×D7311yescharacteristic
945#476C2×D7311yescharacteristic, complemented
946#476C2×D7311yescharacteristic, complemented
947#475—731no—
948#475—731no—
949#475—731no—
950#474—731no—
951#474—731no—
952#474—731no—
953#474—731no—
954#474—731no—
955#474—731no—
956#474C2×D7311yescharacteristic, complemented
957#446—731no—
958#446—731no—
959#446—731no—
960#446—731no—
961#446—731no—
962#446C2×D7311yescharacteristic, complemented
963C8×Q8—731no—
964C8×Q8—731no—
965#442—731no—
966#442—731no—
967#442—731no—
968#442—731no—
969#442C2×D7311yescharacteristic
970#442C2×D7311yescharacteristic
971#440—731no—
972#440—731no—
973#440—731no—
974#440—731no—
975#440—731no—
976#440—731no—
977C4×SD16—731no—
978C4×SD16—731no—
979C4×SD16—731no—
980C4×SD16—731no—
981C4×SD16—731no—
982C4×SD16—731no—
983C4×D8—731no—
984C4×D8—731no—
985C4×D8—731no—
986C4×D8—731no—
987C4×D8—731no—
988C4×D8C2×D7311yescharacteristic
989#428—731no—
990#428—731no—
991#428—731no—
992#428—731no—
993#428—731no—
994#427—731no—
995#427—731no—
996C2×#107—731no—
997C2×#106—731no—
998#424—731no—
999#424—731no—
1000C2×C4⋊C8—731no—
1001#418—731no—
1002#417—731no—
1003#416—731no—
1004#416—731no—
1005C2×#102—731no—
1006C2×#102—731no—
1007#405—731no—
1008#405—731no—
1009C4×M16—731no—
1010C2×#41—731no—
1011C22×Q8—21no—
1012C22×Q8—1461no—
1013C22×D4—731no—
1014C23×C4—1461no—
1015AGL(1,ℤ/8)—738no—
1016C2×SD16—731no—
1017C2×SD16—731no—
1018C2×D8—731no—
1019C2×D8C22×D7311yescharacteristic
1020C2×M16—731no—
1021C2×M16—731no—
1022C22×C8—731no—
1023C22×C8—731no—
1024C4⋊Q8—731no—
1025C4⋊Q8—731no—
1026C4⋊Q8—731no—
1027C4⋊Q8—731no—
1028C4⋊Q8—731no—
1029C4⋊Q8—731no—
1030C4⋊Q8—731no—
1031C4⋊Q8—731no—
1032C4⋊Q8—1461no—
1033C4⋊Q8—1461no—
1034C4⋊Q8—1461no—
1035C4⋊Q8—1461no—
1036C4⋊Q8—1461no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8C22×D7311yescharacteristic
1041C4⋊Q8C22×D7311yescharacteristic
1042C4⋊Q8C22×D7311yescharacteristic
1043C4⋊Q8C22×D7311yescharacteristic
1044#125—731no—
1045#125—731no—
1046#125—731no—
1047#125—731no—
1048#125—731no—
1049#125—731no—
1050#125—731no—
1051#125—731no—
1052#125—731no—
1053#125—731no—
1054#125—731no—
1055#125—731no—
1056#125—731no—
1057#125—731no—
1058#125—1461no—
1059#125—1461no—
1060#125—1461no—
1061#125—1461no—
1062#125—1461no—
1063#125—1461no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125C22×D7311yescharacteristic
1073#125C22×D7311yescharacteristic
1074C22⋊Q8—21no—
1075C22⋊Q8—21no—
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—731no—
1081C22⋊Q8—731no—
1082C22⋊Q8—731no—
1083C22⋊Q8—731no—
1084C22⋊Q8—1461no—
1085C22⋊Q8—1461no—
1086C22⋊Q8—1461no—
1087C22⋊Q8—1461no—
1088C22⋊Q8—1461no—
1089C22⋊Q8—1461no—
1090C22⋊Q8—1461no—
1091C22⋊Q8—1461no—
1092C22⋊Q8—1461no—
1093C22⋊Q8—1461no—
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—
1124C4×Q8—731no—
1125C4×Q8—731no—
1126C4×Q8—731no—
1127C4×Q8—731no—
1128C4×Q8—731no—
1129C4×Q8—731no—
1130C4×Q8—731no—
1131C4×Q8—731no—
1132C4×Q8—731no—
1133C4×Q8—1461no—
1134C4×Q8—1461no—
1135C4×Q8—1461no—
1136C4×Q8—1461no—
1137C4×Q8—1461no—
1138C4×Q8—1461no—
1139C4×Q8C22×D7311yescharacteristic
1140C4×D4—731no—
1141C4×D4—731no—
1142C4×D4—731no—
1143C4×D4—731no—
1144C4×D4—731no—
1145C4×D4—731no—
1146C4×D4—731no—
1147C4×D4—731no—
1148C4×D4—731no—
1149C4×D4—731no—
1150C4×D4—731no—
1151C4×D4—731no—
1152C4×D4—1461no—
1153C4×D4—1461no—
1154C4×D4—1461no—
1155C4×D4—1461no—
1156C4×D4—1461no—
1157C4×D4—1461no—
1158C4×D4—1461no—
1159C4×D4—1461no—
1160C4×D4—1461no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4C22×D7311yescharacteristic
1165C4×D4C22×D7311yescharacteristic
1166C4×D4C22×D7311yescharacteristic
1167C4×D4C22×D7311yescharacteristic
1168C4×D4C22×D7311yescharacteristic
1169C4×D4C22×D7311yescharacteristic
1170#117—731no—
1171#117—731no—
1172#117—731no—
1173#117—731no—
1174#117—731no—
1175#117—1461no—
1176#117—1461no—
1177#117—1461no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—731no—
1180C2×C4⋊C4—731no—
1181C2×C4⋊C4—731no—
1182C2×C4⋊C4—1461no—
1183C2×C4⋊C4—1461no—
1184C2×C4⋊C4—1461no—
1185C2×C4⋊C4—1461no—
1186C2×C4⋊C4—1461no—
1187C2×C4⋊C4—1461no—
1188C2×C4⋊C4—1461no—
1189C2×C4⋊C4—1461no—
1190C2×C4⋊C4—1461no—
1191C2×C4⋊C4—1461no—
1192C2×C4⋊C4—1461no—
1193C2×C4⋊C4—1461no—
1194C2×C4⋊C4—1461no—
1195C2×C22⋊C4—1461no—
1196C2×C22⋊C4—1461no—
1197C2×C22⋊C4—1461no—
1198C2×C22⋊C4—1461no—
1199C2×C22⋊C4—1461no—
1200C2×C42—731no—
1201C2×C42—1461no—
1202#107—731no—
1203#107—731no—
1204#107—731no—
1205#107—731no—
1206#107—731no—
1207#107—731no—
1208#107—731no—
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#107C22×D7311yescharacteristic
1218#107C22×D7311yescharacteristic
1219#107C22×D7311yescharacteristic
1220#106—731no—
1221#106—731no—
1222#106—731no—
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#106C22×D7311yescharacteristic
1233#106C22×D7311yescharacteristic
1234#106C22×D7311yescharacteristic
1235#106C22×D7311yescharacteristic
1236#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238C4⋊C8—731no—
1239C4⋊C8—731no—
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8C22×D7311yescharacteristic
1248C4⋊C8C22×D7311yescharacteristic
1249C4⋊C8C22×D7311yescharacteristic
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102C22×D7311yescharacteristic
1269#102C22×D7311yescharacteristic
1270#102C22×D7311yescharacteristic
1271#102C22×D7311yescharacteristic
1272#102C22×D7311yescharacteristic
1273#102C22×D7311yescharacteristic
1274#97—731no—
1275#97—731no—
1276#97—731no—
1277#97—731no—
1278#97C22×D7311yescharacteristic
1279#97C22×D7311yescharacteristic
1280C4×C8—731no—
1281C4×C8—731no—
1282C4×C8—731no—
1283C4×C8—731no—
1284C4×C8—731no—
1285C4×C8C22×D7311yescharacteristic
1286C24—1461no—
1287#41—734no—
1288#41—1462no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—82no—
1294C2×Q8—5842no—
1295C2×Q8—731no—
1296C2×Q8—731no—
1297C2×Q8—731no—
1298C2×Q8—731no—
1299C2×Q8—1461no—
1300C2×Q8—1461no—
1301C2×Q8—1461no—
1302C2×Q8—1461no—
1303C2×Q8—1461no—
1304C2×Q8—1461no—
1305C2×Q8D4×D7311yescharacteristic
1306C2×D4—734no—
1307C2×D4—731no—
1308C2×D4—1462no—
1309C2×D4—1461no—
1310C2×D4—1461no—
1311C2×D4C23×D7311yescharacteristic
1312C2×D4C23×D7311yescharacteristic
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—5842no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—731no—
1323C22×C4—1461no—
1324C22×C4—1461no—
1325C22×C4—1461no—
1326C22×C4—1461no—
1327C22×C4—1461no—
1328C22×C4—1461no—
1329C22×C4—1461no—
1330C22×C4—1461no—
1331C22×C4—1461no—
1332C22×C4—1461no—
1333C22×C4—1461no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339SD16—734no—
1340SD16—734no—
1341D8—734no—
1342D8Q8×D7314yescomplemented
1343M16—734no—
1344M16—1462no—
1345C2×C8—731no—
1346C2×C8—731no—
1347C2×C8—731no—
1348C2×C8—731no—
1349C2×C8—1462no—
1350C2×C8—1462no—
1351C2×C8C23×D7311yescharacteristic
1352C2×C8C23×D7311yescharacteristic
1353C2×C8C23×D7311yescharacteristic
1354C2×C8C23×D7311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—731no—
1364C4⋊C4—731no—
1365C4⋊C4—731no—
1366C4⋊C4—731no—
1367C4⋊C4—731no—
1368C4⋊C4—731no—
1369C4⋊C4—731no—
1370C4⋊C4—731no—
1371C4⋊C4—731no—
1372C4⋊C4—731no—
1373C4⋊C4—731no—
1374C4⋊C4—731no—
1375C4⋊C4—731no—
1376C4⋊C4—731no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—1461no—
1383C4⋊C4—1461no—
1384C4⋊C4—1461no—
1385C4⋊C4—1461no—
1386C4⋊C4—1461no—
1387C4⋊C4—1461no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1422C4⋊C4D4×D7311yescharacteristic
1423C4⋊C4D4×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—1461no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C42—731no—
1456C42—731no—
1457C42—731no—
1458C42—731no—
1459C42—731no—
1460C42—1461no—
1461C42—1461no—
1462C42—1461no—
1463C42—1461no—
1464C42—1461no—
1465C42—1461no—
1466C42—1461no—
1467C42—1461no—
1468C42—1461no—
1469C42C23×D7311yescharacteristic
1470C42C23×D7311yescharacteristic
1471C42C23×D7311yescharacteristic
1472C23—21no—
1473C23—21no—
1474C23—5841no—
1475C23—5841no—
1476C23—731no—
1477C23—1464no—
1478C23—1461no—
1479Q8—41no—
1480Q8—42no—
1481Q8—81no—
1482Q8—81no—
1483Q8—81no—
1484Q8—2921no—
1485Q8—2921no—
1486Q8—2921no—
1487Q8—5841no—
1488Q8—5841no—
1489Q8—5841no—
1490Q8—5841no—
1491Q8—5841no—
1492Q8—5841no—
1493Q8—732no—
1494Q8—1461no—
1495D4—21no—
1496D4—21no—
1497D4—732no—
1498D4—1464no—
1499D4—1464no—
1500D4—1461no—
1501D4C2×Q8×D7312yes—
1502D4C2×Q8×D7312yes—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—42no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—2922no—
1516C2×C4—2921no—
1517C2×C4—2921no—
1518C2×C4—5841no—
1519C2×C4—5841no—
1520C2×C4—5841no—
1521C2×C4—5841no—
1522C2×C4—5841no—
1523C2×C4—5841no—
1524C2×C4—5841no—
1525C2×C4—5841no—
1526C2×C4—5841no—
1527C2×C4—5841no—
1528C2×C4—5841no—
1529C2×C4—5841no—
1530C2×C4—5841no—
1531C2×C4—5841no—
1532C2×C4—731no—
1533C2×C4—732no—
1534C2×C4—732no—
1535C2×C4—731no—
1536C2×C4—731no—
1537C2×C4—731no—
1538C2×C4—731no—
1539C2×C4—731no—
1540C2×C4—731no—
1541C2×C4—1461no—
1542C2×C4—1461no—
1543C2×C4—1461no—
1544C2×C4—1461no—
1545C2×C4—1461no—
1546C2×C4—1461no—
1547C2×C4—1464no—
1548C2×C4—1461no—
1549C2×C4C2×D4×D7311yescharacteristic
1550C2×C4C2×D4×D7311yescharacteristic
1551C2×C4C2×D4×D7311yescharacteristic
1552C2×C4C2×D4×D7311yescharacteristic
1553C2×C4C2×D4×D7311yescharacteristic
1554C2×C4C2×D4×D7311yescharacteristic
1555C2×C4C24×D7311yescharacteristic
1556C8—21no—
1557C8—21no—
1558C8—21no—
1559C8—732no—
1560C8—1461no—
1561C8—1461no—
1562C8—1461no—
1563C8C2×Q8×D7312yes—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—2921no—
1571C22—2921no—
1572C22—5844no—
1573C22—732no—
1574C22—1462no—
1575C22—1461no—
1576C22—1461no—
1577C22C22×D4×D7311yescharacteristic
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—2921no—
1591C4—2921no—
1592C4—2921no—
1593C4—2921no—
1594C4—2921no—
1595C4—2921no—
1596C4—732no—
1597C4—1462no—
1598C4—1461no—
1599C4—1461no—
1600C4—1461no—
1601C4—1461no—
1602C4—1461no—
1603C4—1461no—
1604C4C22×Q8×D7311yescharacteristic
1605C42−1+4×D7311yescharacteristic
1606C2—42no—
1607C2—42no—
1608C2—2922no—
1609C2—1462no—
1610C2D4×Q8×D7311yescharacteristic
1611C2#2262470311yescharacteristic
1612C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3384C2
socleC22×C73C23×D4
prime radicalC2×#14556615C22
hypercenter#3384D73
hypocenterC73#61385
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. #22623751C2semidirect
2. #22623726C2semidirect
3. #22622890C2semidirect
4. #22622890C2semidirect
5. #22622885C2semidirect
6. #22622884C2semidirect
7. #22622878C2semidirect
8. #22622875C2semidirect
9. #22622873C2semidirect
10. #22622869C2semidirect
11. #22622852C2semidirect
12. #22622849C2semidirect
13. #22622825C2semidirect
14. #22622811C2semidirect
15. #22622801C2semidirect
16. #22622798C2semidirect
17. #22622797C2semidirect
18. #22620482C2semidirect
19. #22620466C2semidirect
20. #22620456C2semidirect
21. #22619788C2semidirect
22. #22619777C2semidirect
23. #22619761C2semidirect
24. #22619757C2semidirect
25. #22619720C2semidirect
26. #478×D73C2semidirect
27. #22618876C2semidirect
31. C73×#3384C2semidirect
33. #17989315C22semidirect
34. #17989314C22semidirect
35. #17989314C22semidirect
36. #17989312C22semidirect
42. #17989296C22semidirect
43. #17989296C22semidirect
47. #17989294C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988995C22semidirect
80. #17988994C22semidirect
81. #17988994C22semidirect
82. #17988994C22semidirect
83. #17988993C22semidirect
84. #17988993C22semidirect
85. #17988993C22semidirect
86. #17988991C22semidirect
87. #17988990C22semidirect
88. #17988989C22semidirect
89. #17988988C22semidirect
90. #17988988C22semidirect
91. #17988987C22semidirect
92. #17988987C22semidirect
93. #17988987C22semidirect
94. #17988987C22semidirect
95. #17988986C22semidirect
96. #17988984C22semidirect
97. #17988897C22semidirect
98. #17988897C22semidirect
99. #17988897C22semidirect
100. #17988895C22semidirect
101. #17988895C22semidirect
102. #17988893C22semidirect
107. #17988889C22semidirect
108. #17988889C22semidirect
109. #17988889C22semidirect
114. #17988887C22semidirect
115. #17988887C22semidirect
120. #17988885C22semidirect
123. #17988881C22semidirect
124. #17988879C22semidirect
125. #17988879C22semidirect
129. #17988875C22semidirect
130. #17988873C22semidirect
131. #17988871C22semidirect
132. #17988869C22semidirect
134. #17988867C22semidirect
137. #17988865C22semidirect
139. #17988718C22semidirect
140. #17988716C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
144. C8×Dic146C22semidirect
145. #17988711C22semidirect
188. #554×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #498×C73C22semidirect
196. #476×C73C22semidirect
197. #476×C73C22semidirect
198. #474×C73C22semidirect
199. #446×C73C22semidirect
207. #14556615Q8semidirect
481. #11924027C2×Q8semidirect
518. #11924017C2×Q8semidirect
519. #11924016C2×Q8semidirect
520. #11924013C2×Q8semidirect
522. #11924011C2×Q8semidirect
634. D8×C73C2×Q8semidirect
820. #3384D73semidirect
838. C73#61385semidirect
860. #554C2×D73semidirect
895. #501C2×D73semidirect
896. #501C2×D73semidirect
908. #498C2×D73semidirect
945. #476C2×D73semidirect
946. #476C2×D73semidirect
956. #474C2×D73semidirect
962. #446C2×D73semidirect
1342. D8Q8×D73semidirect

Maximal subgroups

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

subgroupindex
#226237512
#226237262
#226228902
#226228852
#226228842
#226228782
#226228752
#226228732
#226228692
#226228522
#226228492
#226228252
#226228112
#226228012
#226227982
#226227972
#226204822
#226204662
#226204562
#226197882
#226197772
#226197612
#226197572
#226197202
#478×D732
#226188762
#226187602
#226187562
#226187422
C73×#33842
#6138573