Finite Group Databasebeta

← #33967987

Subgroups — #33967987

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623542C211yesmaximal, characteristic, complemented
2#22623497C211yesmaximal, characteristic, complemented
3#22622999C211yesmaximal, characteristic, complemented
4#22622758C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622430C211yesmaximal, characteristic, complemented
7#22622385C211yesmaximal, characteristic, complemented
8#22622309C211yesmaximal, characteristic, complemented
9#22622084C211yesmaximal, characteristic, complemented
10#22622009C211yesmaximal, characteristic, complemented
11#22621949C211yesmaximal, characteristic, complemented
12#22621904C211yesmaximal, characteristic, complemented
13#22621778C211yesmaximal, characteristic, complemented
14#22621763C211yesmaximal, characteristic, complemented
15#22621617C211yesmaximal, characteristic, complemented
16#22621458C211yesmaximal, characteristic, complemented
17#22621413C211yesmaximal, characteristic, complemented
18#22620662C211yesmaximal, characteristic, complemented
19#22620642C211yesmaximal, characteristic, complemented
20#22620631C211yesmaximal, characteristic, complemented
21#22620084C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620074C211yesmaximal, characteristic, complemented
24#22620045C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22620032C211yesmaximal, characteristic, complemented
27#22618944C211yesmaximal, characteristic, complemented
28C4×#14556615C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3389C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic, complemented
37#17989303C2211yescharacteristic, complemented
38#17989298C2211yescharacteristic
39#17989290C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989285—21no—
42#17989285—21no—
43#17989279—21no—
44#17989275C2211yescharacteristic
45#17989275C2211yescharacteristic, complemented
46#17989264—21no—
47#17989264—21no—
48#17989264—21no—
49#17989264—21no—
50#17989241C2211yescharacteristic, complemented
51#17989232C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989232C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic, complemented
55#17989228—21no—
56D4×D292C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989138C2211yescharacteristic, complemented
59#17989123—21no—
60#17989123—21no—
61#17989123—21no—
62#17989122C2211yescharacteristic
63#17989122C2211yescharacteristic, complemented
64#17989122C2211yescharacteristic, complemented
65#17989122C2211yescharacteristic, complemented
66#17989100—21no—
67#17989100—21no—
68#17989100—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924027C2211yescharacteristic, complemented
71C4×#11924027C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic, complemented
73C2×#14556553—21no—
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77C2×#14556549—21no—
78#17988981C2211yescharacteristic, complemented
79#17988976C2211yescharacteristic
80#17988971C2211yescharacteristic, complemented
81#17988957C2211yescharacteristic, complemented
82#17988953C2211yescharacteristic, complemented
83#17988949C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988944C2211yescharacteristic, complemented
86#17988944C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988869C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988834C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic
114#17988817C2211yescharacteristic
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic
122#17988802C2211yescharacteristic
123#17988802C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988793C2211yescharacteristic, complemented
126#17988792C2211yescharacteristic, complemented
127#17988788C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988750C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988739C2211yescharacteristic
132#17988739C2211yescharacteristic
133#17988739C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988733C2211yescharacteristic
136#17988733C2211yescharacteristic
137#17988733C2211yescharacteristic, complemented
138#17988733C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988700C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic
149#17988696C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic, complemented
151#17988695C2211yescharacteristic, complemented
152#17988693C2211yescharacteristic, complemented
153#17988693C2211yescharacteristic, complemented
154#17988687C2211yescharacteristic, complemented
155#17988687C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988686C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988684C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185C4×#11924011C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
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
203C2×#11924029—21no—
204C2×#11924029D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×D292—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556615—24no—
216#14556610—24no—
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232D8×D73—24no—
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556591C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556582—21no—
252#14556582—21no—
253#14556582—21no—
254#14556582—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580—21no—
258#14556580—21no—
259#14556579C2311yescharacteristic
260#14556579C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556567—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556565—21no—
300#14556565—21no—
301#14556565—21no—
302#14556565—21no—
303#14556565—21no—
304#14556565—21no—
305#14556561—21no—
306#14556561—21no—
307#14556561—21no—
308#14556561—21no—
309#14556561—21no—
310#14556561—21no—
311Q8×Dic73—21no—
312Q8×Dic73D411yescharacteristic
313C4×Dic146C2311yescharacteristic
314C4×Dic146C2311yescharacteristic
315C4×Dic146C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553D411yescharacteristic
337#14556553D411yescharacteristic
338#14556553D411yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549D411yescharacteristic
364#14556549D411yescharacteristic
365#14556549D411yescharacteristic
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372C2×C4⋊Dic73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73—21no—
386C42×D73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73—21no—
459C2×C4⋊C4×C73—21no—
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—42no—
485#11924029—82no—
486#11924027—22no—
487#11924027—22no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—44no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2×D411yescharacteristic
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516D4×D73—22no—
517D4×D73—22no—
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—41no—
521D4×D73—41no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—44no—
537C2×C4×D73—82no—
538C2×C4×D73—82no—
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548Dic292—22no—
549Dic292—41no—
550#11924017—22no—
551#11924017—41no—
552#11924017—41no—
553#11924017—41no—
554#11924017—41no—
555#11924016—22no—
556#11924016—22no—
557#11924016—22no—
558D584—22no—
559D584—41no—
560#11924013—22no—
561#11924013—22no—
562#11924013—22no—
563#11924011—22no—
564#11924011—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—22no—
570C8×D73—22no—
571C8×D73—41no—
572C8×D73—41no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C2×Q8×C73—21no—
649C2×Q8×C73—21no—
650C2×Q8×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659D8×C73#4114yescomplemented
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73C22×D411yescharacteristic
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—41no—
710Q8×C73—81no—
711Q8×C73—81no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73C2×#4112yes—
715D4×C73C2×#4112yes—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—42no—
723C2×C4×C73—42no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73—81no—
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756D292—22no—
757D292—22no—
758D292—21no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—41no—
765D292—42no—
766D292—42no—
767D292—42no—
768D292—81no—
769D292—81no—
770D292—81no—
771D292—81no—
772D292—81no—
773C4×D73—22no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—41no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—22no—
809C22×C73—22no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—21no—
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73C22×#4111yescharacteristic
849C4×C73#58511yescharacteristic
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—42no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—22no—
867D73—41no—
868D73—41no—
869D73—81no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389D7311yescharacteristic, complemented
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554C2×D7311yescharacteristic, complemented
912#554C2×D7311yescharacteristic, complemented
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501C2×D7311yescharacteristic, complemented
953#501C2×D7311yescharacteristic, complemented
954#499C2×D7311yescharacteristic, complemented
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478C2×D7311yescharacteristic, complemented
981#478C2×D7311yescharacteristic, complemented
982#478C2×D7311yescharacteristic, complemented
983#478C2×D7311yescharacteristic, complemented
984#475—731no—
985#474—731no—
986#474C2×D7311yescharacteristic, complemented
987#474C2×D7311yescharacteristic, complemented
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446C2×D7311yescharacteristic, complemented
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442C2×D7311yescharacteristic
1036#442C2×D7311yescharacteristic
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8C2×D7311yescharacteristic
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—1464no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—1461no—
1127#125—1461no—
1128#125—1461no—
1129#125—1461no—
1130#125C22×D7311yescharacteristic
1131#125C22×D7311yescharacteristic
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—731no—
1165C22⋊Q8—731no—
1166C22⋊Q8—731no—
1167C22⋊Q8—731no—
1168C22⋊Q8—731no—
1169C22⋊Q8—731no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4C22×D7311yescharacteristic
1241C4×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107C22×D7311yescharacteristic
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8C22×D7311yescharacteristic
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—2922no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—731no—
1369C2×Q8D4×D7311yescharacteristic
1370C2×D4—2924no—
1371C2×D4—2921no—
1372C2×D4—2921no—
1373C2×D4—2921no—
1374C2×D4—731no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1462no—
1393C2×D4—1462no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—2924no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431Q16—2921no—
1432Q16—1462no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—1462no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8#1192402914yescomplemented
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4D4×D7311yescharacteristic
1494C4⋊C4D4×D7311yescharacteristic
1495C4⋊C4D4×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—5841no—
1573C23—5841no—
1574C23—5841no—
1575C23—731no—
1576C23—731no—
1577C23—731no—
1578C23—1461no—
1579C23—1461no—
1580C23—1461no—
1581Q8—41no—
1582Q8—81no—
1583Q8—81no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—2922no—
1593D4—2921no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—1462no—
1608D4—1462no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4C2×#1192402912yes—
1616D4C2×#1192402912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—2922no—
1630C2×C4—2921no—
1631C2×C4—2921no—
1632C2×C4—2921no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—1462no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402912yes—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—5844no—
1696C22—5844no—
1697C22—5844no—
1698C22—732no—
1699C22—1461no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402911yescharacteristic
1731C4#1798942411yescharacteristic
1732C2—42no—
1733C2—42no—
1734C2—2921no—
1735C2—2921no—
1736C2—5841no—
1737C2—5841no—
1738C2—5841no—
1739C2—1462no—
1740C2D4×#1192402911yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3389C2
socleC22×C73C23×D4
hypercenter#3389D73
hypocenterC73#61454
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. #22623542C2semidirect
2. #22623497C2semidirect
3. #22622999C2semidirect
4. #22622758C2semidirect
5. #22622684C2semidirect
6. #22622430C2semidirect
7. #22622385C2semidirect
8. #22622309C2semidirect
9. #22622084C2semidirect
10. #22622009C2semidirect
11. #22621949C2semidirect
12. #22621904C2semidirect
13. #22621778C2semidirect
14. #22621763C2semidirect
15. #22621617C2semidirect
16. #22621458C2semidirect
17. #22621413C2semidirect
18. #22620662C2semidirect
19. #22620642C2semidirect
20. #22620631C2semidirect
21. #22620084C2semidirect
22. #22620074C2semidirect
23. #22620074C2semidirect
24. #22620045C2semidirect
25. #22620045C2semidirect
26. #22620032C2semidirect
27. #22618944C2semidirect
28. C4×#14556615C2semidirect
29. #22618728C2semidirect
30. #442×D73C2semidirect
31. C73×#3389C2semidirect
35. #17989322C22semidirect
36. #17989310C22semidirect
37. #17989303C22semidirect
40. #17989290C22semidirect
45. #17989275C22semidirect
50. #17989241C22semidirect
53. #17989232C22semidirect
54. #17989232C22semidirect
57. #17989142C22semidirect
58. #17989138C22semidirect
63. #17989122C22semidirect
64. #17989122C22semidirect
65. #17989122C22semidirect
70. C4×#11924027C22semidirect
71. C4×#11924027C22semidirect
72. C4×#11924027C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
78. #17988981C22semidirect
80. #17988971C22semidirect
81. #17988957C22semidirect
82. #17988953C22semidirect
83. #17988949C22semidirect
84. #17988949C22semidirect
85. #17988944C22semidirect
86. #17988944C22semidirect
87. #17988930C22semidirect
88. #17988930C22semidirect
89. #17988924C22semidirect
90. #17988924C22semidirect
91. #17988919C22semidirect
92. #17988919C22semidirect
93. #17988914C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
98. #17988902C22semidirect
99. #17988891C22semidirect
100. #17988891C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988869C22semidirect
104. #17988864C22semidirect
105. #17988846C22semidirect
107. #17988834C22semidirect
108. #17988834C22semidirect
109. #17988829C22semidirect
110. #17988829C22semidirect
111. #17988824C22semidirect
112. #17988824C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988802C22semidirect
125. #17988793C22semidirect
126. #17988792C22semidirect
127. #17988788C22semidirect
129. #17988750C22semidirect
130. #17988750C22semidirect
133. #17988739C22semidirect
134. #17988739C22semidirect
137. #17988733C22semidirect
138. #17988733C22semidirect
141. #17988718C22semidirect
142. #17988700C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
147. #17988697C22semidirect
149. #17988696C22semidirect
150. #17988696C22semidirect
151. #17988695C22semidirect
152. #17988693C22semidirect
153. #17988693C22semidirect
154. #17988687C22semidirect
155. #17988687C22semidirect
156. #17988686C22semidirect
157. #17988686C22semidirect
158. #17988686C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988684C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
164. C4×#11924017C22semidirect
165. C4×#11924016C22semidirect
166. C4×#11924013C22semidirect
168. #17988660C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. #17988652C22semidirect
173. #17988643C22semidirect
174. #17988643C22semidirect
175. #17988643C22semidirect
176. #17988628C22semidirect
177. #17988622C22semidirect
178. #106×D73C22semidirect
179. #17988590C22semidirect
180. #17988585C22semidirect
181. #17988580C22semidirect
182. #17988580C22semidirect
184. #102×D73C22semidirect
185. C4×#11924011C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
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
659. D8×C73#41semidirect
875. #3389D73semidirect
903. C73#61454semidirect
911. #554C2×D73semidirect
912. #554C2×D73semidirect
952. #501C2×D73semidirect
953. #501C2×D73semidirect
954. #499C2×D73semidirect
980. #478C2×D73semidirect
981. #478C2×D73semidirect
982. #478C2×D73semidirect
983. #478C2×D73semidirect
986. #474C2×D73semidirect
987. #474C2×D73semidirect
1025. #446C2×D73semidirect
1446. D8#11924029semidirect

Maximal subgroups

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

subgroupindex
#226235422
#226234972
#226229992
#226227582
#226226842
#226224302
#226223852
#226223092
#226220842
#226220092
#226219492
#226219042
#226217782
#226217632
#226216172
#226214582
#226214132
#226206622
#226206422
#226206312
#226200842
#226200742
#226200452
#226200322
#226189442
C4×#145566152
#226187282
#442×D732
C73×#33892
#6145473