Finite Group Databasebeta

← #33966719

Subgroups — #33966719

Order 18688.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623730C211yesmaximal, characteristic, complemented
2#22623728C211yesmaximal, characteristic, complemented
3#22622892C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622889C211yesmaximal, characteristic, complemented
6#22622888C211yesmaximal, characteristic, complemented
7#22622886C211yesmaximal, characteristic, complemented
8#22622885C211yesmaximal, characteristic, complemented
9#22622884C211yesmaximal, characteristic, complemented
10#22622834C211yesmaximal, characteristic, complemented
11#22622833C211yesmaximal, characteristic, complemented
12#22622833C211yesmaximal, characteristic, complemented
13#22622832C211yesmaximal, characteristic, complemented
14#22622831C211yesmaximal, characteristic, complemented
15#22622830C211yesmaximal, characteristic, complemented
16#22622828C211yesmaximal, characteristic, complemented
17#22622827C211yesmaximal, characteristic, complemented
18#22620460C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620452C211yesmaximal, characteristic, complemented
21#22619761C211yesmaximal, characteristic, complemented
22#22619761C211yesmaximal, characteristic, complemented
23#22619759C211yesmaximal, characteristic, complemented
24#22619755C211yesmaximal, characteristic, complemented
25#22619726C211yesmaximal, characteristic, complemented
26#22619723C211yesmaximal, characteristic, complemented
27#22618867C211yesmaximal, characteristic, complemented
28#22618780C211yesmaximal, characteristic
29#22618778C211yesmaximal, characteristic
30#442×D73C211yesmaximal, characteristic
31C73×#3389C211yesmaximal, characteristic, complemented
32C2×D8×D73C2211yescharacteristic
33#17989298C2211yescharacteristic, complemented
34#17989297C2211yescharacteristic, complemented
35#17989296C2211yescharacteristic, complemented
36#17989296C2211yescharacteristic, complemented
37#17989295—21no—
38#17989295—21no—
39#17989294C2211yescharacteristic, complemented
40#17989294C2211yescharacteristic, complemented
41#17989293C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989293C2211yescharacteristic, complemented
45#17989292—21no—
46#17989292—21no—
47#17989291—21no—
48#17989291—21no—
49Q8×D292C2211yescharacteristic, complemented
50D4×Dic146C2211yescharacteristic, complemented
51D4×Dic146C2211yescharacteristic, complemented
52#17989252C2211yescharacteristic, complemented
53#17989250—21no—
54#17989250—21no—
55#17989217C2211yescharacteristic
56#17989217C2211yescharacteristic
57#17989217C2211yescharacteristic
58#17989214C2211yescharacteristic
59#17989212—21no—
60#17989212—21no—
61#17989212—21no—
62#17989212—21no—
63#17989143C2211yescharacteristic
64#17989142C2211yescharacteristic
65#17989141C2211yescharacteristic
66C2×#14556571—21no—
67C2×#14556569—21no—
68C22⋊Q8×D73—21no—
69C22⋊Q8×D73—21no—
70#17989059C2211yescharacteristic
71#17989059C2211yescharacteristic
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic
76#17988997C2211yescharacteristic, complemented
77#17988997C2211yescharacteristic, complemented
78#17988997C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988996C2211yescharacteristic, complemented
81#17988995C2211yescharacteristic, complemented
82#17988995C2211yescharacteristic, complemented
83#17988995C2211yescharacteristic, complemented
84#17988995C2211yescharacteristic, complemented
85#17988995C2211yescharacteristic, complemented
86#17988994C2211yescharacteristic, complemented
87#17988994C2211yescharacteristic, complemented
88#17988994C2211yescharacteristic, complemented
89#17988993C2211yescharacteristic, complemented
90#17988988C2211yescharacteristic, complemented
91#17988987C2211yescharacteristic, complemented
92#17988986C2211yescharacteristic, complemented
93#17988985C2211yescharacteristic, complemented
94#17988984C2211yescharacteristic, complemented
95#17988984C2211yescharacteristic, complemented
96#17988983C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic, complemented
107#17988887C2211yescharacteristic, complemented
108#17988887C2211yescharacteristic, complemented
109#17988886C2211yescharacteristic, complemented
110#17988886C2211yescharacteristic, complemented
111#17988885C2211yescharacteristic, complemented
112#17988885C2211yescharacteristic, complemented
113#17988884C2211yescharacteristic, complemented
114#17988884C2211yescharacteristic, complemented
115#17988884C2211yescharacteristic, complemented
116#17988884C2211yescharacteristic, complemented
117#17988878C2211yescharacteristic, complemented
118#17988878C2211yescharacteristic, complemented
119#17988878C2211yescharacteristic, complemented
120#17988877C2211yescharacteristic, complemented
121#17988877C2211yescharacteristic, complemented
122#17988876C2211yescharacteristic, complemented
123#17988876C2211yescharacteristic, complemented
124#17988875C2211yescharacteristic, complemented
125#17988875C2211yescharacteristic, complemented
126#17988875C2211yescharacteristic, complemented
127#17988875C2211yescharacteristic, complemented
128#17988874C2211yescharacteristic, complemented
129#17988868C2211yescharacteristic, complemented
130#17988867C2211yescharacteristic, complemented
131#17988867C2211yescharacteristic, complemented
132#17988866C2211yescharacteristic, complemented
133#17988866C2211yescharacteristic, complemented
134#17988866C2211yescharacteristic, complemented
135#17988866C2211yescharacteristic, complemented
136#17988865C2211yescharacteristic, complemented
137#17988865C2211yescharacteristic, complemented
138#17988864C2211yescharacteristic, complemented
139#17988718C2211yescharacteristic, complemented
140#17988717C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988715C2211yescharacteristic, complemented
145#17988714C2211yescharacteristic, complemented
146#17988700C2211yescharacteristic
147#17988700C2211yescharacteristic
148#17988699C2211yescharacteristic
149#17988699C2211yescharacteristic
150#17988698C2211yescharacteristic
151#17988698C2211yescharacteristic
152#17988697C2211yescharacteristic
153#17988697C2211yescharacteristic
154#17988697C2211yescharacteristic
155#17988697C2211yescharacteristic
156#17988696C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic
160C4×D584C2211yescharacteristic
161D8×Dic73C2211yescharacteristic
162#17988669C2211yescharacteristic
163C4×#11924013C2211yescharacteristic
164C4×#11924013C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988628C2211yescharacteristic
169#17988628C2211yescharacteristic
170#17988626C2211yescharacteristic
171#17988624C2211yescharacteristic
172#17988624C2211yescharacteristic
173#17988622C2211yescharacteristic
174#17988622C2211yescharacteristic
175#106×D73C2211yescharacteristic
176#17988612C2211yescharacteristic
177#17988612C2211yescharacteristic
178#17988609C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988590C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic
186#17988541C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#474×C73C2211yescharacteristic, complemented
198#474×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic
201#442×C73C2211yescharacteristic
202C4×D8×C73C2211yescharacteristic
203C22×Dic146—21no—
204C22×Dic146—21no—
205C2×Q8×D73—21no—
206C2×Q8×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210C22×C4×D73—21no—
211C2×D584C2311yescharacteristic
212C2×#11924013C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214D8×D73Q818yescomplemented
215C2×#11924011C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590D411yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556589D411yescharacteristic
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
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#14556581D411yescharacteristic
248#14556581D411yescharacteristic
249#14556571—21no—
250#14556571—21no—
251#14556571—21no—
252#14556571—21no—
253#14556571—21no—
254#14556571—21no—
255#14556571—21no—
256#14556571—21no—
257#14556571—21no—
258#14556571—21no—
259#14556571—21no—
260#14556571—21no—
261#14556571D411yescharacteristic
262#14556570—21no—
263#14556570—21no—
264#14556570—21no—
265#14556570—21no—
266#14556570—21no—
267#14556570—21no—
268#14556569—21no—
269#14556569—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#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#14556567—21no—
306#14556567D411yescharacteristic
307Q8×Dic73—21no—
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314C4×D292C2311yescharacteristic
315C4×D292C2311yescharacteristic
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326#14556553C2311yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556548C2311yescharacteristic
349#14556548C2311yescharacteristic
350C2×C4⋊Dic73—21no—
351C2×C4⋊Dic73—21no—
352C2×#11924007—21no—
353C2×#11924007—21no—
354C4⋊C4×D73—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C2×#11924005—21no—
363C2×#11924005—21no—
364C2×#11924005—21no—
365C2×#11924005—21no—
366C22⋊C4×D73—21no—
367C22⋊C4×D73—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556524C2311yescharacteristic
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#14556523C2311yescharacteristic
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#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556502C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×D8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#125×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C2×C4⋊C4×C73—21no—
457C2×C4⋊C4×C73—21no—
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×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—
480C23×D73—21no—
481C2×Dic146—21no—
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—82no—
492C2×Dic146—82no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2×D411yescharacteristic
496Q8×D73—82no—
497Q8×D73—82no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502D4×D73—22no—
503D4×D73—22no—
504D4×D73C2×Q814yescomplemented
505D4×D73C2×Q814yescomplemented
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—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—82no—
527C2×C4×D73—82no—
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531D584C2×Q814yescomplemented
532#11924013C2×Q814yescomplemented
533#11924013C2×Q814yescomplemented
534#11924011—22no—
535#11924011—22no—
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C8×D73—22no—
541C8×D73C2×Q814yescomplemented
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
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
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595#11924005—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#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C2×Q8×C73—21no—
625C2×Q8×C73—21no—
626C2×Q8×C73C2×D411yescharacteristic
627C2×D4×C73C2411yescharacteristic
628C2×D4×C73C2411yescharacteristic
629C22×C4×C73—21no—
630C22×C4×C73—21no—
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635D8×C73C2×Q814yescomplemented
636C2×C8×C73C2411yescharacteristic
637C2×C8×C73C2411yescharacteristic
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
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×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—21no—
672C22×D73—24no—
673C22×D73—24no—
674C22×D73—81no—
675C22×D73—81no—
676C22×D73—81no—
677C22×D73—81no—
678C22×D73C22×D411yescharacteristic
679Q8×C73—41no—
680Q8×C73—81no—
681Q8×C73—81no—
682D4×C73—21no—
683D4×C73—21no—
684D4×C73C22×Q812yes—
685D4×C73C22×Q812yes—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—42no—
693C2×C4×C73—81no—
694C2×C4×C73—81no—
695C2×C4×C73—81no—
696C2×C4×C73—81no—
697C2×C4×C73—81no—
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C2511yescharacteristic
705C22⋊D73—24no—
706C22⋊D73—24no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—42no—
714C2×Dic73—81no—
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—
727D292—21no—
728D292C22×Q812yes—
729D292C22×Q812yes—
730C4×D73—41no—
731C4×D73—41no—
732C4×D73—42no—
733C4×D73—42no—
734C4×D73—81no—
735C4×D73—81no—
736C4×D73—81no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D73—81no—
745C4×D73—81no—
746C4×D73C22×Q812yes—
747C4×D732−1+412yes—
748Dic146—41no—
749Dic146—41no—
750Dic146—41no—
751Dic146—42no—
752Dic146—42no—
753Dic146—81no—
754Dic146—81no—
755Dic146—81no—
756Dic146—81no—
757Dic146—81no—
758Dic146—81no—
759Dic146—81no—
760Dic146—81no—
761C8×C73—21no—
762C8×C73—21no—
763C8×C73—21no—
764C8×C73C22×Q812yes—
765#10596831—21no—
766#10596831—21no—
767#10596831—21no—
768#10596831C22×Q812yes—
769C22×C73—22no—
770C22×C73—22no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73C23×D411yescharacteristic
776C2×D73—21no—
777C2×D73—21no—
778C2×D73—22no—
779C2×D73—22no—
780C2×D73—41no—
781C2×D73—41no—
782C2×D73—41no—
783C2×D73—41no—
784C2×D73—84no—
785C2×D73—84no—
786C2×D73D4×Q812yes—
787C4×C73—21no—
788C4×C73—21no—
789C4×C73—21no—
790C4×C73—21no—
791C4×C73—21no—
792C4×C73—21no—
793C4×C73—41no—
794C4×C73—41no—
795C4×C73—41no—
796C4×C73—41no—
797C4×C73—41no—
798C4×C73—41no—
799C4×C73C23×Q811yescharacteristic
800C4×C73C2×2−1+411yescharacteristic
801Dic73—21no—
802Dic73—21no—
803Dic73—21no—
804Dic73—21no—
805Dic73—21no—
806Dic73—21no—
807Dic73—41no—
808Dic73—41no—
809Dic73—41no—
810Dic73—41no—
811Dic73—41no—
812Dic73—41no—
813Dic73D4×Q812yes—
814#61378—731nomaximal, Sylow
815C2×C73—42no—
816C2×C73—42no—
817C2×C73C2×D4×Q811yescharacteristic
818C2×C73#358511yescharacteristic
819C2×C73#358511yescharacteristic
820D73—22no—
821D73—42no—
822D73—42no—
823#3501—731no—
824#3501—731no—
825#3389—731no—
826#3389—731no—
827#3389—731no—
828#3389—731no—
829#3389—731no—
830#3389—731no—
831#3389—731no—
832#3389D7311yescharacteristic, complemented
833#3384—731no—
834#3384—731no—
835#3384—731no—
836#3384—731no—
837#3384—731no—
838#3384—731no—
839#3384—731no—
840#3384—731no—
841#3163—731no—
842#3163—731no—
843#3162—731no—
844#3081—731no—
845#3081—731no—
846#3081—731no—
847#3081—731no—
848#3077—731no—
849#3077—731no—
850#2961—731no—
851#2948—731no—
852#2948—731no—
853C2×#442—731no—
854C73#6137811yescharacteristic, complemented, Sylow
855C22×D8—731no—
856#554—731no—
857#554—731no—
858#554—731no—
859#554—731no—
860#554—731no—
861#554—731no—
862#554—731no—
863#554—731no—
864#554—731no—
865#554—731no—
866#554—1461no—
867#554—1461no—
868#554—1461no—
869#554—1461no—
870#554—1461no—
871#554—1461no—
872#554C2×D7311yescharacteristic, complemented
873#554C2×D7311yescharacteristic, complemented
874D4×Q8—731no—
875D4×Q8—731no—
876D4×Q8—731no—
877D4×Q8—731no—
878D4×Q8—1461no—
879D4×Q8—1461no—
880#544—731no—
881#544—731no—
882#544—731no—
883#544—731no—
884#543—1461no—
885#543—1461no—
886#543—1461no—
887#543—1461no—
888#533—731no—
889#533—731no—
890#533—731no—
891C2×C22⋊Q8—1461no—
892C2×C22⋊Q8—1461no—
893C2×C22⋊Q8—1461no—
894C2×C22⋊Q8—1461no—
895#518—731no—
896#518—731no—
897#518—731no—
898#518—731no—
899C2×C4×D4—731no—
900C2×C4×D4—731no—
901#501—731no—
902#501—731no—
903#501—731no—
904#501—731no—
905#501—731no—
906#501—731no—
907#501—731no—
908#501—731no—
909#501—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#501C2×D7311yescharacteristic, complemented
916#501C2×D7311yescharacteristic, complemented
917#499—731no—
918#499—731no—
919#499—731no—
920#499C2×D7311yescharacteristic, complemented
921#498—731no—
922#498—731no—
923#498—731no—
924#498—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#478—731no—
936#478—731no—
937#478—731no—
938#478—731no—
939#478—731no—
940#478—731no—
941#478—731no—
942#478—731no—
943#478—731no—
944#478—731no—
945#478C2×D7311yescharacteristic, complemented
946#478C2×D7311yescharacteristic, complemented
947#478C2×D7311yescharacteristic, complemented
948#478C2×D7311yescharacteristic, complemented
949#476—731no—
950#476—731no—
951#476—731no—
952#476—731no—
953#476—731no—
954#476—731no—
955#476—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#474—731no—
964#474—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474C2×D7311yescharacteristic, complemented
972#474C2×D7311yescharacteristic, complemented
973#446—731no—
974#446—731no—
975#446—731no—
976#446—731no—
977#446—731no—
978#446—731no—
979#446—731no—
980#446C2×D7311yescharacteristic, complemented
981#442—731no—
982#442—731no—
983#442—731no—
984#442—731no—
985#442—731no—
986#442—731no—
987#442—731no—
988#442—731no—
989#442—731no—
990#442—731no—
991#442—731no—
992#442—731no—
993#442—731no—
994#442—731no—
995#442C2×D7311yescharacteristic
996#442C2×D7311yescharacteristic
997C4×D8—731no—
998C4×D8—731no—
999C4×D8—731no—
1000C4×D8—731no—
1001C4×D8—731no—
1002C4×D8—731no—
1003C4×D8—731no—
1004C4×D8C2×D7311yescharacteristic
1005#428—731no—
1006#428—731no—
1007#428—731no—
1008#428—731no—
1009#427—731no—
1010#427—731no—
1011#427—731no—
1012#427—731no—
1013C2×#106—731no—
1014#424—731no—
1015#424—731no—
1016#423—731no—
1017#418—731no—
1018#418—731no—
1019#418—731no—
1020#418—731no—
1021C2×#102—731no—
1022C2×#102—731no—
1023#405—731no—
1024#405—731no—
1025C2×#97—731no—
1026C22×Q8—1461no—
1027C22×Q8—1461no—
1028C22×Q8—1461no—
1029C22×Q8—1461no—
1030C22×D4—731no—
1031C22×D4—731no—
1032C23×C4—1461no—
1033C23×C4—1461no—
1034C2×D8—731no—
1035C2×D8—731no—
1036C2×D8—738no—
1037C2×D8—731no—
1038C2×D8C22×D7311yescharacteristic
1039C2×M16—731no—
1040C2×M16—731no—
1041C22×C8—731no—
1042C22×C8—731no—
1043C4⋊Q8—731no—
1044C4⋊Q8—731no—
1045C4⋊Q8—731no—
1046C4⋊Q8—731no—
1047C4⋊Q8—731no—
1048C4⋊Q8—731no—
1049C4⋊Q8—731no—
1050C4⋊Q8—731no—
1051C4⋊Q8—731no—
1052C4⋊Q8—731no—
1053C4⋊Q8—731no—
1054C4⋊Q8—731no—
1055C4⋊Q8—1461no—
1056C4⋊Q8—1461no—
1057C4⋊Q8—1461no—
1058C4⋊Q8—1461no—
1059C4⋊Q8C22×D7311yescharacteristic
1060C4⋊Q8C22×D7311yescharacteristic
1061#125—731no—
1062#125—731no—
1063#125—731no—
1064#125—731no—
1065#125—731no—
1066#125—731no—
1067#125—731no—
1068#125—731no—
1069#125—731no—
1070#125—731no—
1071#125—1461no—
1072#125—1461no—
1073#125—1461no—
1074#125—1461no—
1075#125C22×D7311yescharacteristic
1076#125C22×D7311yescharacteristic
1077#125C22×D7311yescharacteristic
1078#125C22×D7311yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—731no—
1086C22⋊Q8—731no—
1087C22⋊Q8—731no—
1088C22⋊Q8—731no—
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—
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—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C4×Q8—731no—
1144C4×Q8—731no—
1145C4×Q8—731no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×Q8C22×D7311yescharacteristic
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—731no—
1163C4×D4—731no—
1164C4×D4—731no—
1165C4×D4—731no—
1166C4×D4—731no—
1167C4×D4—731no—
1168C4×D4—731no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4—1461no—
1176C4×D4—1461no—
1177C4×D4—1461no—
1178C4×D4—1461no—
1179C4×D4—1461no—
1180C4×D4—1461no—
1181C4×D4C22×D7311yescharacteristic
1182C4×D4C22×D7311yescharacteristic
1183C4×D4C22×D7311yescharacteristic
1184C4×D4C22×D7311yescharacteristic
1185C4×D4C22×D7311yescharacteristic
1186C4×D4C22×D7311yescharacteristic
1187#117—731no—
1188#117—731no—
1189#117—731no—
1190#117—731no—
1191#117—731no—
1192#117—731no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C4⋊C4—1461no—
1203C2×C4⋊C4—1461no—
1204C2×C4⋊C4—1461no—
1205C2×C4⋊C4—1461no—
1206C2×C4⋊C4—1461no—
1207C2×C22⋊C4—1461no—
1208C2×C22⋊C4—1461no—
1209C2×C22⋊C4—1461no—
1210C2×C22⋊C4—1461no—
1211C2×C22⋊C4—1461no—
1212C2×C22⋊C4—1461no—
1213C2×C22⋊C4—1461no—
1214C2×C22⋊C4—1461no—
1215C2×C22⋊C4—1461no—
1216C2×C22⋊C4—1461no—
1217C2×C42—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107—731no—
1222#107—731no—
1223#107—731no—
1224#107—731no—
1225#107—731no—
1226#107—731no—
1227#107—731no—
1228#107—731no—
1229#107C22×D7311yescharacteristic
1230#107C22×D7311yescharacteristic
1231#107C22×D7311yescharacteristic
1232#107C22×D7311yescharacteristic
1233#107C22×D7311yescharacteristic
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106—731no—
1238#106—731no—
1239#106—731no—
1240#106—731no—
1241#106—731no—
1242#106—731no—
1243#106—731no—
1244#106—731no—
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106C22×D7311yescharacteristic
1251#106C22×D7311yescharacteristic
1252#106C22×D7311yescharacteristic
1253#106C22×D7311yescharacteristic
1254C4⋊C8—731no—
1255C4⋊C8—731no—
1256C4⋊C8—731no—
1257C4⋊C8—731no—
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8C22×D7311yescharacteristic
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
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#102—731no—
1276#102—731no—
1277#102—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102C22×D7311yescharacteristic
1285#102C22×D7311yescharacteristic
1286#102C22×D7311yescharacteristic
1287#102C22×D7311yescharacteristic
1288#102C22×D7311yescharacteristic
1289#102C22×D7311yescharacteristic
1290#97—731no—
1291#97—731no—
1292#97—731no—
1293#97—731no—
1294#97—731no—
1295#97—731no—
1296#97C22×D7311yescharacteristic
1297#97C22×D7311yescharacteristic
1298C4×C8—731no—
1299C4×C8—731no—
1300C4×C8—731no—
1301C4×C8C22×D7311yescharacteristic
1302C24—1461no—
1303C24—1461no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—5842no—
1307C2×Q8—5842no—
1308C2×Q8—5842no—
1309C2×Q8—5842no—
1310C2×Q8—731no—
1311C2×Q8—731no—
1312C2×Q8—731no—
1313C2×Q8—1461no—
1314C2×Q8—1461no—
1315C2×Q8—1461no—
1316C2×Q8—1461no—
1317C2×Q8—1461no—
1318C2×Q8—1461no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8D4×D7311yescharacteristic
1324C2×D4—734no—
1325C2×D4—734no—
1326C2×D4—731no—
1327C2×D4—731no—
1328C2×D4—1462no—
1329C2×D4—1462no—
1330C2×D4—1461no—
1331C2×D4—1461no—
1332C2×D4C23×D7311yescharacteristic
1333C2×D4C23×D7311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—5842no—
1341C22×C4—5842no—
1342C22×C4—731no—
1343C22×C4—731no—
1344C22×C4—731no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4—1461no—
1355C22×C4—1461no—
1356C22×C4—1461no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365D8—734no—
1366D8—734no—
1367D8—734no—
1368D8Q8×D7314yescomplemented
1369M16—1462no—
1370M16—1462no—
1371C2×C8—731no—
1372C2×C8—734no—
1373C2×C8—731no—
1374C2×C8—731no—
1375C2×C8—731no—
1376C2×C8—1462no—
1377C2×C8C23×D7311yescharacteristic
1378C2×C8C23×D7311yescharacteristic
1379C2×C8C23×D7311yescharacteristic
1380C2×C8C23×D7311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—731no—
1392C4⋊C4—731no—
1393C4⋊C4—731no—
1394C4⋊C4—731no—
1395C4⋊C4—731no—
1396C4⋊C4—731no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
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⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4D4×D7311yescharacteristic
1439C4⋊C4D4×D7311yescharacteristic
1440C4⋊C4D4×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C4⋊C4C23×D7311yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C42—731no—
1480C42—731no—
1481C42—731no—
1482C42—731no—
1483C42—731no—
1484C42—1461no—
1485C42—1461no—
1486C42—1461no—
1487C42—1461no—
1488C42C23×D7311yescharacteristic
1489C42C23×D7311yescharacteristic
1490C42C23×D7311yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—5841no—
1494C23—5841no—
1495C23—5841no—
1496C23—5841no—
1497C23—731no—
1498C23—1464no—
1499C23—1464no—
1500C23—1461no—
1501C23—1461no—
1502Q8—41no—
1503Q8—81no—
1504Q8—81no—
1505Q8—2922no—
1506Q8—2921no—
1507Q8—2921no—
1508Q8—2921no—
1509Q8—2922no—
1510Q8—5841no—
1511Q8—5841no—
1512Q8—5841no—
1513Q8—5841no—
1514Q8—5841no—
1515Q8—5841no—
1516Q8—5841no—
1517Q8—5841no—
1518D4—21no—
1519D4—21no—
1520D4—732no—
1521D4—732no—
1522D4—1464no—
1523D4—1464no—
1524D4—1461no—
1525D4—1461no—
1526D4C2×Q8×D7312yes—
1527D4C2×Q8×D7312yes—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—2922no—
1541C2×C4—2921no—
1542C2×C4—2921no—
1543C2×C4—2922no—
1544C2×C4—2922no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—5841no—
1550C2×C4—5841no—
1551C2×C4—5841no—
1552C2×C4—5841no—
1553C2×C4—5841no—
1554C2×C4—5841no—
1555C2×C4—5841no—
1556C2×C4—5841no—
1557C2×C4—5841no—
1558C2×C4—5841no—
1559C2×C4—5841no—
1560C2×C4—5841no—
1561C2×C4—5841no—
1562C2×C4—731no—
1563C2×C4—732no—
1564C2×C4—732no—
1565C2×C4—731no—
1566C2×C4—731no—
1567C2×C4—731no—
1568C2×C4—731no—
1569C2×C4—731no—
1570C2×C4—731no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4C2×D4×D7311yescharacteristic
1578C2×C4C2×D4×D7311yescharacteristic
1579C2×C4C2×D4×D7311yescharacteristic
1580C2×C4C2×D4×D7311yescharacteristic
1581C2×C4C2×D4×D7311yescharacteristic
1582C2×C4C2×D4×D7311yescharacteristic
1583C2×C4C24×D7311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—732no—
1588C8—1461no—
1589C8—1461no—
1590C8—1461no—
1591C8C2×Q8×D7312yes—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—2921no—
1599C22—2921no—
1600C22—2921no—
1601C22—2921no—
1602C22—5844no—
1603C22—5844no—
1604C22—732no—
1605C22—1462no—
1606C22—1462no—
1607C22—1461no—
1608C22—1461no—
1609C22C22×D4×D7311yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—2921no—
1623C4—2921no—
1624C4—2921no—
1625C4—2921no—
1626C4—2921no—
1627C4—2921no—
1628C4—732no—
1629C4—1461no—
1630C4—1461no—
1631C4—1461no—
1632C4—1461no—
1633C4—1461no—
1634C4—1461no—
1635C4C22×Q8×D7311yescharacteristic
1636C42−1+4×D7311yescharacteristic
1637C2—42no—
1638C2—42no—
1639C2—2922no—
1640C2—2922no—
1641C2—1462no—
1642C2D4×Q8×D7311yescharacteristic
1643C2#2262470611yescharacteristic
1644C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3389C2
socleC22×C73C23×D4
prime radicalC2×D8×D73C22
hypercenter#3389D73
hypocenterC73#61378
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #22623730C2semidirect
2. #22623728C2semidirect
3. #22622892C2semidirect
4. #22622890C2semidirect
5. #22622889C2semidirect
6. #22622888C2semidirect
7. #22622886C2semidirect
8. #22622885C2semidirect
9. #22622884C2semidirect
10. #22622834C2semidirect
11. #22622833C2semidirect
12. #22622833C2semidirect
13. #22622832C2semidirect
14. #22622831C2semidirect
15. #22622830C2semidirect
16. #22622828C2semidirect
17. #22622827C2semidirect
18. #22620460C2semidirect
19. #22620458C2semidirect
20. #22620452C2semidirect
21. #22619761C2semidirect
22. #22619761C2semidirect
23. #22619759C2semidirect
24. #22619755C2semidirect
25. #22619726C2semidirect
26. #22619723C2semidirect
27. #22618867C2semidirect
31. C73×#3389C2semidirect
33. #17989298C22semidirect
34. #17989297C22semidirect
35. #17989296C22semidirect
36. #17989296C22semidirect
39. #17989294C22semidirect
40. #17989294C22semidirect
41. #17989293C22semidirect
42. #17989293C22semidirect
43. #17989293C22semidirect
44. #17989293C22semidirect
49. Q8×D292C22semidirect
50. D4×Dic146C22semidirect
51. D4×Dic146C22semidirect
52. #17989252C22semidirect
76. #17988997C22semidirect
77. #17988997C22semidirect
78. #17988997C22semidirect
79. #17988996C22semidirect
80. #17988996C22semidirect
81. #17988995C22semidirect
82. #17988995C22semidirect
83. #17988995C22semidirect
84. #17988995C22semidirect
85. #17988995C22semidirect
86. #17988994C22semidirect
87. #17988994C22semidirect
88. #17988994C22semidirect
89. #17988993C22semidirect
90. #17988988C22semidirect
91. #17988987C22semidirect
92. #17988986C22semidirect
93. #17988985C22semidirect
94. #17988984C22semidirect
95. #17988984C22semidirect
96. #17988983C22semidirect
97. #17988890C22semidirect
98. #17988890C22semidirect
99. #17988890C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988888C22semidirect
106. #17988888C22semidirect
107. #17988887C22semidirect
108. #17988887C22semidirect
109. #17988886C22semidirect
110. #17988886C22semidirect
111. #17988885C22semidirect
112. #17988885C22semidirect
113. #17988884C22semidirect
114. #17988884C22semidirect
115. #17988884C22semidirect
116. #17988884C22semidirect
117. #17988878C22semidirect
118. #17988878C22semidirect
119. #17988878C22semidirect
120. #17988877C22semidirect
121. #17988877C22semidirect
122. #17988876C22semidirect
123. #17988876C22semidirect
124. #17988875C22semidirect
125. #17988875C22semidirect
126. #17988875C22semidirect
127. #17988875C22semidirect
128. #17988874C22semidirect
129. #17988868C22semidirect
130. #17988867C22semidirect
131. #17988867C22semidirect
132. #17988866C22semidirect
133. #17988866C22semidirect
134. #17988866C22semidirect
135. #17988866C22semidirect
136. #17988865C22semidirect
137. #17988865C22semidirect
138. #17988864C22semidirect
139. #17988718C22semidirect
140. #17988717C22semidirect
141. #17988716C22semidirect
142. #17988716C22semidirect
143. #17988715C22semidirect
144. #17988715C22semidirect
145. #17988714C22semidirect
188. #554×C73C22semidirect
189. #554×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #499×C73C22semidirect
193. #478×C73C22semidirect
194. #478×C73C22semidirect
195. #478×C73C22semidirect
196. #478×C73C22semidirect
197. #474×C73C22semidirect
198. #474×C73C22semidirect
199. #446×C73C22semidirect
214. D8×D73Q8semidirect
504. D4×D73C2×Q8semidirect
505. D4×D73C2×Q8semidirect
531. D584C2×Q8semidirect
532. #11924013C2×Q8semidirect
533. #11924013C2×Q8semidirect
541. C8×D73C2×Q8semidirect
635. D8×C73C2×Q8semidirect
832. #3389D73semidirect
854. C73#61378semidirect
872. #554C2×D73semidirect
873. #554C2×D73semidirect
915. #501C2×D73semidirect
916. #501C2×D73semidirect
920. #499C2×D73semidirect
945. #478C2×D73semidirect
946. #478C2×D73semidirect
947. #478C2×D73semidirect
948. #478C2×D73semidirect
971. #474C2×D73semidirect
972. #474C2×D73semidirect
980. #446C2×D73semidirect
1368. D8Q8×D73semidirect

Maximal subgroups

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

subgroupindex
#226237302
#226237282
#226228922
#226228902
#226228892
#226228882
#226228862
#226228852
#226228842
#226228342
#226228332
#226228322
#226228312
#226228302
#226228282
#226228272
#226204602
#226204582
#226204522
#226197612
#226197592
#226197552
#226197262
#226197232
#226188672
#226187802
#226187782
#442×D732
C73×#33892
#6137873