Finite Group Databasebeta

← #33971645

Subgroups — #33971645

Order 18688.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623573C211yesmaximal, characteristic, complemented
2#22622241C211yesmaximal, characteristic, complemented
3#22622126C211yesmaximal, characteristic, complemented
4#22622021C211yesmaximal, characteristic, complemented
5#22622006C211yesmaximal, characteristic, complemented
6#22621961C211yesmaximal, characteristic, complemented
7#22621901C211yesmaximal, characteristic, complemented
8#22621842C211yesmaximal, characteristic, complemented
9#22621760C211yesmaximal, characteristic, complemented
10#22621649C211yesmaximal, characteristic, complemented
11#22621639C211yesmaximal, characteristic, complemented
12#22621577C211yesmaximal, characteristic, complemented
13#22621563C211yesmaximal, characteristic, complemented
14#22621487C211yesmaximal, characteristic, complemented
15#22621487C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22621034C211yesmaximal, characteristic, complemented
19#22621008C211yesmaximal, characteristic, complemented
20#22620822C211yesmaximal, characteristic, complemented
21#22620807C211yesmaximal, characteristic, complemented
22#22620768C211yesmaximal, characteristic, complemented
23#22620712C211yesmaximal, characteristic, complemented
24#22620178C211yesmaximal, characteristic, complemented
25#22620109C211yesmaximal, characteristic, complemented
26#22619232C211yesmaximal, characteristic, complemented
27#22619206C211yesmaximal, characteristic, complemented
28#22619189C211yesmaximal, characteristic, complemented
29#22619147C211yesmaximal, characteristic, complemented
30#22618979C211yesmaximal, characteristic, complemented
31C73×#3541C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×#11924028C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556622C2211yescharacteristic, complemented
36C2×#14556622C2211yescharacteristic, complemented
37C2×#14556616C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C2×#14556611C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C22×#11924015C2211yescharacteristic, complemented
42#17989242C2211yescharacteristic
43#17989242C2211yescharacteristic
44#17989242C2211yescharacteristic
45#17989242C2211yescharacteristic
46#17989239—21no—
47#17989239—21no—
48#17989234—21no—
49#17989234—21no—
50#17989233C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989233C2211yescharacteristic
54#17989163C2211yescharacteristic
55#17989158C2211yescharacteristic
56#17989147—21no—
57#17989147—21no—
58#17989098C2211yescharacteristic
59#123×D73—21no—
60#123×D73—21no—
61#17989061C2211yescharacteristic
62#17988982C2211yescharacteristic, complemented
63#17988979C2211yescharacteristic, complemented
64#17988969C2211yescharacteristic, complemented
65#17988966C2211yescharacteristic, complemented
66#17988957C2211yescharacteristic, complemented
67#17988949C2211yescharacteristic, complemented
68#17988944C2211yescharacteristic, complemented
69#17988939C2211yescharacteristic, complemented
70#17988928C2211yescharacteristic, complemented
71#17988928C2211yescharacteristic, complemented
72#17988928C2211yescharacteristic, complemented
73#17988925C2211yescharacteristic, complemented
74#17988925C2211yescharacteristic, complemented
75#17988925C2211yescharacteristic, complemented
76#17988922C2211yescharacteristic, complemented
77#17988917C2211yescharacteristic, complemented
78#17988917C2211yescharacteristic, complemented
79#17988911C2211yescharacteristic, complemented
80#17988908C2211yescharacteristic, complemented
81#17988900C2211yescharacteristic, complemented
82#17988884C2211yescharacteristic, complemented
83#17988884C2211yescharacteristic, complemented
84#17988874C2211yescharacteristic, complemented
85#17988864C2211yescharacteristic, complemented
86#17988843C2211yescharacteristic, complemented
87#17988843C2211yescharacteristic, complemented
88#17988843C2211yescharacteristic, complemented
89#17988843C2211yescharacteristic, complemented
90#17988838C2211yescharacteristic, complemented
91#17988835C2211yescharacteristic, complemented
92#17988831C2211yescharacteristic, complemented
93#17988831C2211yescharacteristic, complemented
94#17988826C2211yescharacteristic, complemented
95#17988826C2211yescharacteristic, complemented
96#17988826C2211yescharacteristic, complemented
97#17988826C2211yescharacteristic, complemented
98#17988826C2211yescharacteristic, complemented
99#17988818C2211yescharacteristic, complemented
100#17988818C2211yescharacteristic, complemented
101#17988814C2211yescharacteristic, complemented
102#17988809C2211yescharacteristic, complemented
103#17988809C2211yescharacteristic, complemented
104#17988809C2211yescharacteristic, complemented
105#17988802C2211yescharacteristic, complemented
106#17988799C2211yescharacteristic, complemented
107#17988799C2211yescharacteristic, complemented
108#17988797C2211yescharacteristic, complemented
109#17988797C2211yescharacteristic, complemented
110#17988797C2211yescharacteristic, complemented
111#17988792C2211yescharacteristic, complemented
112#17988789C2211yescharacteristic, complemented
113#17988789C2211yescharacteristic, complemented
114#17988749C2211yescharacteristic, complemented
115#17988749C2211yescharacteristic, complemented
116#17988749C2211yescharacteristic, complemented
117#17988747C2211yescharacteristic
118#17988747C2211yescharacteristic
119#17988747C2211yescharacteristic
120#17988747C2211yescharacteristic, complemented
121#17988747C2211yescharacteristic, complemented
122#17988747C2211yescharacteristic, complemented
123#17988747C2211yescharacteristic, complemented
124#17988747C2211yescharacteristic, complemented
125#17988747C2211yescharacteristic, complemented
126#17988747C2211yescharacteristic, complemented
127#17988747C2211yescharacteristic, complemented
128#17988747C2211yescharacteristic, complemented
129#17988743C2211yescharacteristic, complemented
130#17988743C2211yescharacteristic, complemented
131#17988743C2211yescharacteristic, complemented
132#17988742C2211yescharacteristic, complemented
133#17988742C2211yescharacteristic, complemented
134#17988742C2211yescharacteristic, complemented
135#17988737C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988737C2211yescharacteristic
138#17988737C2211yescharacteristic, complemented
139#17988737C2211yescharacteristic, complemented
140#17988737C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988730C2211yescharacteristic
143#17988730C2211yescharacteristic, complemented
144#17988730C2211yescharacteristic, complemented
145#17988730C2211yescharacteristic, complemented
146#17988726C2211yescharacteristic, complemented
147#17988725C2211yescharacteristic, complemented
148#17988720C2211yescharacteristic
149#17988720C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988685C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158#17988665C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988659C2211yescharacteristic, complemented
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163#17988659C2211yescharacteristic, complemented
164D4×#10596831C2211yescharacteristic, complemented
165D4×#10596831C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988591C2211yescharacteristic, complemented
169#17988586C2211yescharacteristic, complemented
170#17988586C2211yescharacteristic, complemented
171#17988586C2211yescharacteristic, complemented
172#17988581C2211yescharacteristic, complemented
173#17988581C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic, complemented
175C2×#14556511C2211yescharacteristic, complemented
176#17988554C2211yescharacteristic
177#17988554C2211yescharacteristic
178#17988551C2211yescharacteristic, complemented
179C2×C22⋊#10596831C2211yescharacteristic, complemented
180#563×C73—21no—
181#562×C73—21no—
182#556×C73C2211yescharacteristic, complemented
183#554×C73—21no—
184#554×C73C2211yescharacteristic, complemented
185#553×C73—21no—
186#553×C73C2211yescharacteristic, complemented
187#552×C73C2211yescharacteristic, complemented
188D4×Q8×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191#547×C73C2211yescharacteristic, complemented
192#542×C73—21no—
193#542×C73C2211yescharacteristic, complemented
194#541×C73C2211yescharacteristic, complemented
195#539×C73—21no—
196#538×C73—21no—
197#538×C73—21no—
198#537×C73C2211yescharacteristic
199#536×C73C2211yescharacteristic
200#525×C73C2211yescharacteristic
201#525×C73C2211yescharacteristic, complemented
202C2×C22⋊Q8×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—42no—
209C2×#11924028—42no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C22×Dic146C2311yescharacteristic
218C22×D292C2311yescharacteristic
219C22×D292C2311yescharacteristic
220C22×D292C2311yescharacteristic
221C22×C22⋊D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C22×C4×D73—21no—
226#14556622—42no—
227#14556622—42no—
228#14556622—42no—
229#14556616—42no—
230#14556611—42no—
231#14556611—42no—
232#14556611—42no—
233C2×#11924018C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924015—42no—
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924012C2311yescharacteristic
259C2×#11924012C2311yescharacteristic
260C2×#11924012C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C22×#10596831C2311yescharacteristic
263C22×#10596831C2311yescharacteristic
264C22×#10596831C2311yescharacteristic
265C22×#10596831C2311yescharacteristic
266#14556591C2311yescharacteristic
267#14556591C2311yescharacteristic
268#14556589—21no—
269#14556579C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556578—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556572—21no—
289#14556571—21no—
290#14556571—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556562—21no—
304#14556562—21no—
305#14556562—21no—
306#14556562—21no—
307#14556560—21no—
308#14556559—21no—
309#14556559—21no—
310#14556559—21no—
311#14556559—21no—
312C4×D292C2311yescharacteristic
313C4×D292C2311yescharacteristic
314C4×D292C2311yescharacteristic
315C4×D292C2311yescharacteristic
316#14556553—21no—
317#14556553—21no—
318C4×C22⋊D73—21no—
319C4×C22⋊D73—21no—
320#14556550C2311yescharacteristic
321C4⋊C4×D73—21no—
322C4⋊C4×D73—21no—
323C4⋊C4×D73—21no—
324C4⋊C4×D73—21no—
325C22⋊C4×D73—21no—
326C22⋊C4×D73—21no—
327C22⋊C4×D73—21no—
328C22⋊C4×D73—21no—
329C22⋊C4×D73—21no—
330C22⋊C4×D73—21no—
331#14556524C2311yescharacteristic
332#14556524C2311yescharacteristic
333#14556524C2311yescharacteristic
334#14556524C2311yescharacteristic
335#14556522C2311yescharacteristic
336#14556522C2311yescharacteristic
337#14556522C2311yescharacteristic
338#14556522C2311yescharacteristic
339C4⋊#10596831C2311yescharacteristic
340C4⋊#10596831C2311yescharacteristic
341C4⋊#10596831C2311yescharacteristic
342C4⋊#10596831C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556515C2311yescharacteristic
347#14556515C2311yescharacteristic
348#14556515C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556514C2311yescharacteristic
355#14556514C2311yescharacteristic
356#14556514C2311yescharacteristic
357#14556514C2311yescharacteristic
358#14556514C2311yescharacteristic
359#14556514C2311yescharacteristic
360#14556514C2311yescharacteristic
361#14556512C2311yescharacteristic
362#14556512C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366#14556511C2311yescharacteristic
367#14556511C2311yescharacteristic
368#14556511C2311yescharacteristic
369#14556511C2311yescharacteristic
370#14556511C2311yescharacteristic
371#14556511C2311yescharacteristic
372#14556511C2311yescharacteristic
373#14556511C2311yescharacteristic
374#14556511C2311yescharacteristic
375C22⋊#10596831C2311yescharacteristic
376C22⋊#10596831C2311yescharacteristic
377C22⋊#10596831C2311yescharacteristic
378C22⋊#10596831C2311yescharacteristic
379C22⋊#10596831C2311yescharacteristic
380C22⋊#10596831C2311yescharacteristic
381C22⋊#10596831C2311yescharacteristic
382C22⋊#10596831C2311yescharacteristic
383C22⋊#10596831C2311yescharacteristic
384C22⋊#10596831C2311yescharacteristic
385C22⋊#10596831C2311yescharacteristic
386C22⋊#10596831C2311yescharacteristic
387#14556502C2311yescharacteristic
388#14556502C2311yescharacteristic
389C4×#10596831C2311yescharacteristic
390C4×#10596831C2311yescharacteristic
391C2×#41×C73C2311yescharacteristic
392C2×#41×C73C2311yescharacteristic
393C2×#41×C73C2311yescharacteristic
394C22×Q8×C73C2311yescharacteristic
395C22×Q8×C73C2311yescharacteristic
396C23×C4×C73C2311yescharacteristic
397C4⋊Q8×C73—21no—
398C4⋊Q8×C73—21no—
399C4⋊Q8×C73C2311yescharacteristic
400C4⋊Q8×C73C2311yescharacteristic
401#126×C73—21no—
402#126×C73—21no—
403#126×C73—21no—
404#126×C73—21no—
405#126×C73—21no—
406#126×C73—21no—
407#126×C73—21no—
408#125×C73—21no—
409#125×C73—21no—
410#125×C73—21no—
411#125×C73—21no—
412#125×C73C2311yescharacteristic
413#124×C73—21no—
414#124×C73—21no—
415#124×C73—21no—
416#124×C73—21no—
417#124×C73—21no—
418#124×C73C2311yescharacteristic
419#123×C73—21no—
420#123×C73—21no—
421#123×C73—21no—
422#123×C73—21no—
423#123×C73—21no—
424#123×C73—21no—
425#123×C73—21no—
426#123×C73—21no—
427#123×C73D411yescharacteristic
428#123×C73D411yescharacteristic
429C22⋊Q8×C73—21no—
430C22⋊Q8×C73—21no—
431C22⋊Q8×C73—21no—
432C22⋊Q8×C73—21no—
433C22⋊Q8×C73—21no—
434C22⋊Q8×C73—21no—
435C22⋊Q8×C73—21no—
436C22⋊Q8×C73—21no—
437C22⋊Q8×C73—21no—
438C22⋊Q8×C73—21no—
439C22⋊Q8×C73D411yescharacteristic
440C22⋊Q8×C73D411yescharacteristic
441C22⋊Q8×C73C2311yescharacteristic
442C22⋊Q8×C73C2311yescharacteristic
443C22⋊Q8×C73C2311yescharacteristic
444C22⋊Q8×C73C2311yescharacteristic
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447C22⋊Q8×C73C2311yescharacteristic
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73—21no—
452#121×C73—21no—
453#121×C73—21no—
454#121×C73—21no—
455#121×C73—21no—
456#121×C73—21no—
457#121×C73D411yescharacteristic
458#121×C73D411yescharacteristic
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463#120×C73D411yescharacteristic
464#120×C73D411yescharacteristic
465C4×Q8×C73—21no—
466C4×Q8×C73C2311yescharacteristic
467C4×Q8×C73C2311yescharacteristic
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472C4×D4×C73—21no—
473C4×D4×C73—21no—
474C4×D4×C73—21no—
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479C4×D4×C73C2311yescharacteristic
480C4×D4×C73C2311yescharacteristic
481#117×C73—21no—
482#117×C73C2311yescharacteristic
483#117×C73C2311yescharacteristic
484#117×C73C2311yescharacteristic
485C2×C4⋊C4×C73—21no—
486C2×C4⋊C4×C73—21no—
487C2×C4⋊C4×C73C2311yescharacteristic
488C2×C4⋊C4×C73C2311yescharacteristic
489C2×C22⋊C4×C73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493#11924029—44no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—44no—
509#11924028—44no—
510C2×Dic146—21no—
511C2×Dic146—41no—
512C2×Dic146—41no—
513C2×Dic146C2411yescharacteristic
514C2×Dic146C2411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×D292—21no—
517C2×D292—22no—
518C2×D292—22no—
519C2×D292—22no—
520C2×D292—22no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—41no—
524C2×D292—41no—
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—44no—
538D4×D73—44no—
539D4×D73—44no—
540D4×D73—44no—
541C22×Dic73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—44no—
554#11924018—41no—
555#11924018—41no—
556#11924018—41no—
557#11924018—41no—
558#11924018—41no—
559#11924018—41no—
560#11924018—41no—
561#11924018—41no—
562#11924018—41no—
563#11924016—41no—
564#11924016—41no—
565#11924016—41no—
566#11924015—22no—
567#11924015—22no—
568#11924015—22no—
569#11924015—22no—
570#11924015—22no—
571#11924015—22no—
572#11924015—41no—
573#11924015—41no—
574#11924015—41no—
575#11924013—22no—
576#11924013—22no—
577#11924013—41no—
578#11924012—41no—
579#11924012—41no—
580#11924012—41no—
581#11924012—41no—
582C2×#10596831—41no—
583C2×#10596831—41no—
584C2×#10596831—41no—
585C2×#10596831—41no—
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—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—
623C4×Dic73—21no—
624C24×C73C2×D411yescharacteristic
625#41×C73—41no—
626#41×C73—41no—
627#41×C73—41no—
628#41×C73—41no—
629#41×C73—41no—
630#41×C73—41no—
631C2×Q8×C73—21no—
632C2×Q8×C73—21no—
633C2×Q8×C73—21no—
634C2×Q8×C73—41no—
635C2×Q8×C73—41no—
636C2×Q8×C73—41no—
637C2×Q8×C73—41no—
638C2×Q8×C73C2×D411yescharacteristic
639C2×Q8×C73C2411yescharacteristic
640C2×Q8×C73C2411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2×D411yescharacteristic
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—41no—
663C22×C4×C73—41no—
664C22×C4×C73C2×D411yescharacteristic
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73C2×D411yescharacteristic
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73C2×D411yescharacteristic
719C22⋊C4×C73C2×D411yescharacteristic
720C22⋊C4×C73C2×D411yescharacteristic
721C22⋊C4×C73C2×D411yescharacteristic
722C22⋊C4×C73C2×D411yescharacteristic
723C22⋊C4×C73C2×D411yescharacteristic
724C22⋊C4×C73C2×D411yescharacteristic
725C22⋊C4×C73C2×D411yescharacteristic
726C22⋊C4×C73C2×D411yescharacteristic
727C22⋊C4×C73C2×D411yescharacteristic
728C42×C73—21no—
729C42×C73—21no—
730C42×C73—21no—
731C42×C73—21no—
732C42×C73—21no—
733C42×C73C2411yescharacteristic
734C42×C73C2411yescharacteristic
735C23×C73—21no—
736C23×C73—41no—
737C23×C73—41no—
738C23×C73—41no—
739C23×C73C22×D411yescharacteristic
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C23×C73C22×D411yescharacteristic
743C23×C73C22×D411yescharacteristic
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—24no—
747C22×D73—21no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—41no—
763Q8×C73—81no—
764Q8×C73—81no—
765Q8×C73—81no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—41no—
769D4×C73—41no—
770D4×C73—41no—
771D4×C73—41no—
772D4×C73—41no—
773D4×C73—41no—
774D4×C73—41no—
775D4×C73—42no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779D4×C73—81no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—41no—
798C2×C4×C73—41no—
799C2×C4×C73—41no—
800C2×C4×C73—81no—
801C2×C4×C73—81no—
802C2×C4×C73—81no—
803C2×C4×C73—81no—
804C2×C4×C73—81no—
805C2×C4×C73—81no—
806C2×C4×C73—81no—
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C22×D411yescharacteristic
811C2×C4×C73C22×D411yescharacteristic
812C2×C4×C73C22×D411yescharacteristic
813C2×C4×C73C22×D411yescharacteristic
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C2511yescharacteristic
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—42no—
832D292—24no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—21no—
837D292—42no—
838D292—42no—
839D292H(5,𝔽2)12yes—
840D292H(5,𝔽2)12yes—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—42no—
859#10596831—21no—
860#10596831—21no—
861#10596831—21no—
862#10596831—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866#10596831—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—82no—
886C22×C73C23×D411yescharacteristic
887C2×D73—22no—
888C2×D73—22no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—84no—
897C2×D73—162no—
898C2×D73—162no—
899C4×C73—21no—
900C4×C73—21no—
901C4×C73—21no—
902C4×C73—21no—
903C4×C73—21no—
904C4×C73—21no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920Dic73—41no—
921Dic73—41no—
922#61613—731nomaximal, Sylow
923C2×C73—41no—
924C2×C73—41no—
925C2×C73—41no—
926C2×C73—41no—
927C2×C73—41no—
928C2×C73—81no—
929C2×C73#348411yescharacteristic
930C2×C73#358411yescharacteristic
931C2×C73#358611yescharacteristic
932D73—42no—
933D73—42no—
934D73—81no—
935#3541D7311yescharacteristic, complemented
936#3485—731no—
937#3331—731no—
938#3322—731no—
939#3315—731no—
940#3314—731no—
941#3311—731no—
942#3307—731no—
943#3302—731no—
944#3296—731no—
945#3283—731no—
946#3282—731no—
947#3276—731no—
948#3275—731no—
949#3269—731no—
950#3269—731no—
951#3267—731no—
952#3266—731no—
953#3225—731no—
954#3223—731no—
955#3202—731no—
956#3201—731no—
957#3197—731no—
958#3190—731no—
959#3123—731no—
960#3118—731no—
961#3012—731no—
962#3009—731no—
963#3007—731no—
964#3002—731no—
965#2976—731no—
966C73#6161311yescharacteristic, complemented, Sylow
967C2×H(5,𝔽2)—731no—
968C22×#41—731no—
969C2×#137—731no—
970C2×#137—731no—
971C2×#137—731no—
972C2×AGL(1,ℤ/8)—731no—
973C2×#135—731no—
974C2×#135—731no—
975C2×#135—731no—
976C22×SD16—731no—
977#563—21no—
978#562—21no—
979#556C2×D7311yescharacteristic, complemented
980#554—21no—
981#554C2×D7311yescharacteristic, complemented
982#553—21no—
983#553C2×D7311yescharacteristic, complemented
984#552C2×D7311yescharacteristic, complemented
985D4×Q8C2×D7311yescharacteristic, complemented
986#548C2×D7311yescharacteristic, complemented
987#548C2×D7311yescharacteristic, complemented
988#547—731no—
989#547—731no—
990#547—731no—
991#547—731no—
992#547—1461no—
993#547—1461no—
994#547C2×D7311yescharacteristic, complemented
995#546—731no—
996#546—731no—
997#546—731no—
998#546—731no—
999#546—1461no—
1000#546—1461no—
1001#542—21no—
1002#542C2×D7311yescharacteristic, complemented
1003#541C2×D7311yescharacteristic, complemented
1004#539—21no—
1005#538—21no—
1006#538—21no—
1007#537C2×D7311yescharacteristic
1008#536—731no—
1009#536—731no—
1010#536C2×D7311yescharacteristic
1011#534—1461no—
1012#534—1461no—
1013#525—731no—
1014#525C2×D7311yescharacteristic
1015#525C2×D7311yescharacteristic, complemented
1016C2×#123—1461no—
1017C2×#123—1461no—
1018C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1019#518—731no—
1020#497—731no—
1021#497—731no—
1022#495—731no—
1023#494—731no—
1024#491—731no—
1025#489—731no—
1026#488—731no—
1027#487—731no—
1028#485—731no—
1029#485—731no—
1030#485—731no—
1031#485—731no—
1032#485—731no—
1033#485—731no—
1034#484—731no—
1035#483—731no—
1036#483—731no—
1037#482—731no—
1038#482—731no—
1039#480—731no—
1040#478—731no—
1041#478—731no—
1042#476—731no—
1043#474—731no—
1044#470—731no—
1045#470—731no—
1046#470—731no—
1047#470—731no—
1048#469—731no—
1049#468—731no—
1050#468—731no—
1051#468—731no—
1052#467—731no—
1053#467—731no—
1054#467—731no—
1055#467—731no—
1056#467—731no—
1057#465—731no—
1058#465—731no—
1059#465—731no—
1060#464—731no—
1061#464—731no—
1062#464—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#462—731no—
1067#462—731no—
1068#462—731no—
1069#461—731no—
1070#461—731no—
1071#461—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#450—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#448—731no—
1105#448—731no—
1106#447—731no—
1107#447—731no—
1108#442—731no—
1109#440—731no—
1110#440—731no—
1111#440—731no—
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×SD16—731no—
1115C4×D8—731no—
1116#436—731no—
1117#436—731no—
1118#435—731no—
1119#435—731no—
1120#435—731no—
1121#435—731no—
1122C8×D4—731no—
1123C8×D4—731no—
1124#433—731no—
1125#433—731no—
1126#418—731no—
1127#417—731no—
1128#417—731no—
1129#417—731no—
1130#416—731no—
1131#416—731no—
1132#416—731no—
1133C2×#102—731no—
1134#408—731no—
1135#408—731no—
1136#407—731no—
1137C2×C22⋊C8—731no—
1138H(5,𝔽2)—2922no—
1139H(5,𝔽2)—2922no—
1140C2×#41—2922no—
1141C2×#41—2922no—
1142C2×#41—731no—
1143C2×#41—731no—
1144C2×#41—731no—
1145C2×#41—731no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—1461no—
1150C2×#41—1461no—
1151C2×#41—1461no—
1152C2×#41C22×D7311yescharacteristic
1153C2×#41C22×D7311yescharacteristic
1154C2×#41C22×D7311yescharacteristic
1155C22×Q8—731no—
1156C22×Q8C22×D7311yescharacteristic
1157C22×Q8C22×D7311yescharacteristic
1158C22×D4—731no—
1159C22×D4—731no—
1160C22×D4—731no—
1161C22×D4—1461no—
1162C22×D4—1461no—
1163C22×D4—1461no—
1164C22×D4—1461no—
1165C23×C4—1461no—
1166C23×C4C22×D7311yescharacteristic
1167#137—2922no—
1168#137—2922no—
1169#137—2922no—
1170AGL(1,ℤ/8)—2922no—
1171#135—2922no—
1172#135—2922no—
1173#135—2922no—
1174C2×Q16—731no—
1175C2×Q16—731no—
1176C2×Q16—731no—
1177C2×Q16—731no—
1178C2×Q16—731no—
1179C2×Q16—731no—
1180C2×Q16—731no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×SD16—2922no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8—731no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16—731no—
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8—731no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—731no—
1210C4⋊Q8—731no—
1211C4⋊Q8—1461no—
1212C4⋊Q8C22×D7311yescharacteristic
1213C4⋊Q8C22×D7311yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#125—21no—
1222#125—21no—
1223#125—21no—
1224#125—21no—
1225#125C22×D7311yescharacteristic
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—731no—
1232#124—731no—
1233#124—1461no—
1234#124C22×D7311yescharacteristic
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123C22⋊D7311yescharacteristic
1261#123C22⋊D7311yescharacteristic
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8C22⋊D7311yescharacteristic
1281C22⋊Q8C22⋊D7311yescharacteristic
1282C22⋊Q8C22×D7311yescharacteristic
1283C22⋊Q8C22×D7311yescharacteristic
1284C22⋊Q8C22×D7311yescharacteristic
1285C22⋊Q8C22×D7311yescharacteristic
1286C22⋊Q8C22×D7311yescharacteristic
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—731no—
1299#121—731no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121C22⋊D7311yescharacteristic
1309#121C22⋊D7311yescharacteristic
1310#121C22×D7311yescharacteristic
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#120—21no—
1314#120—1461no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120C22⋊D7311yescharacteristic
1320#120C22⋊D7311yescharacteristic
1321C4×Q8—21no—
1322C4×Q8C22×D7311yescharacteristic
1323C4×Q8C22×D7311yescharacteristic
1324C4×Q8C22×D7311yescharacteristic
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—731no—
1333C4×D4—731no—
1334C4×D4—731no—
1335C4×D4—731no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4C22×D7311yescharacteristic
1341C4×D4C22×D7311yescharacteristic
1342C4×D4C22×D7311yescharacteristic
1343C4×D4C22×D7311yescharacteristic
1344C4×D4C22×D7311yescharacteristic
1345#117—21no—
1346#117—731no—
1347#117C22×D7311yescharacteristic
1348#117C22×D7311yescharacteristic
1349#117C22×D7311yescharacteristic
1350C2×C4⋊C4—21no—
1351C2×C4⋊C4—21no—
1352C2×C4⋊C4—1461no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4C22×D7311yescharacteristic
1357C2×C4⋊C4C22×D7311yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365#107—731no—
1366#107—731no—
1367#107—731no—
1368#107—731no—
1369#106—731no—
1370#106—731no—
1371#106—731no—
1372#106—731no—
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375C4⋊C8—731no—
1376C4⋊C8—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409C22⋊C8—731no—
1410C22⋊C8—731no—
1411C22⋊C8—731no—
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421#97—731no—
1422#97—731no—
1423C4×C8—731no—
1424C4×C8—731no—
1425C24—1461no—
1426C24—1461no—
1427C24—1461no—
1428C24C2×C22⋊D7311yescharacteristic
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—2921no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2921no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2924no—
1445#41—2924no—
1446#41—1462no—
1447#41—1462no—
1448#41—1462no—
1449#41—1462no—
1450#41—1462no—
1451#41—1462no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—2921no—
1460C2×Q8—2921no—
1461C2×Q8—731no—
1462C2×Q8—731no—
1463C2×Q8—731no—
1464C2×Q8—1461no—
1465C2×Q8C2×C22⋊D7311yescharacteristic
1466C2×Q8C23×D7311yescharacteristic
1467C2×Q8C23×D7311yescharacteristic
1468C2×Q8C23×D7311yescharacteristic
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—2921no—
1475C2×D4—2921no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—2924no—
1479C2×D4—2924no—
1480C2×D4—731no—
1481C2×D4—731no—
1482C2×D4—731no—
1483C2×D4—1462no—
1484C2×D4—1462no—
1485C2×D4—1462no—
1486C2×D4—1462no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4C2×C22⋊D7311yescharacteristic
1500C2×D4C2×C22⋊D7311yescharacteristic
1501C2×D4C2×C22⋊D7311yescharacteristic
1502C2×D4C2×C22⋊D7311yescharacteristic
1503C2×D4C2×C22⋊D7311yescharacteristic
1504C2×D4C2×C22⋊D7311yescharacteristic
1505C2×D4C2×C22⋊D7311yescharacteristic
1506C2×D4C23×D7311yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—2924no—
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×C4C2×C22⋊D7311yescharacteristic
1530C22×C4C2×C22⋊D7311yescharacteristic
1531C22×C4C2×C22⋊D7311yescharacteristic
1532C22×C4C23×D7311yescharacteristic
1533C22×C4C23×D7311yescharacteristic
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537Q16—2921no—
1538Q16—2921no—
1539Q16—2921no—
1540Q16—2921no—
1541Q16—2921no—
1542Q16—2921no—
1543Q16—2921no—
1544Q16—2921no—
1545Q16—2921no—
1546SD16—2921no—
1547SD16—2921no—
1548SD16—2921no—
1549SD16—2921no—
1550SD16—2921no—
1551SD16—2921no—
1552SD16—1462no—
1553SD16—1462no—
1554SD16—1462no—
1555SD16—1462no—
1556SD16—1462no—
1557SD16—1462no—
1558D8—2921no—
1559D8—1462no—
1560D8—1462no—
1561M16—2921no—
1562M16—2921no—
1563M16—2921no—
1564M16—2921no—
1565C2×C8—2921no—
1566C2×C8—2921no—
1567C2×C8—2921no—
1568C2×C8—2921no—
1569C2×C8—731no—
1570C2×C8—731no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8—731no—
1574C2×C8—731no—
1575C2×C8—731no—
1576C2×C8—731no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4C2×C22⋊D7311yescharacteristic
1609C4⋊C4C2×C22⋊D7311yescharacteristic
1610C4⋊C4C2×C22⋊D7311yescharacteristic
1611C4⋊C4C2×C22⋊D7311yescharacteristic
1612C4⋊C4C2×C22⋊D7311yescharacteristic
1613C4⋊C4C2×C22⋊D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4C2×C22⋊D7311yescharacteristic
1653C22⋊C4C2×C22⋊D7311yescharacteristic
1654C22⋊C4C2×C22⋊D7311yescharacteristic
1655C22⋊C4C2×C22⋊D7311yescharacteristic
1656C22⋊C4C2×C22⋊D7311yescharacteristic
1657C22⋊C4C2×C22⋊D7311yescharacteristic
1658C22⋊C4C2×C22⋊D7311yescharacteristic
1659C22⋊C4C2×C22⋊D7311yescharacteristic
1660C22⋊C4C2×C22⋊D7311yescharacteristic
1661C22⋊C4C2×C22⋊D7311yescharacteristic
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42—1461no—
1668C42C23×D7311yescharacteristic
1669C42C23×D7311yescharacteristic
1670C23—21no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—2922no—
1675C23—2922no—
1676C23—5841no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—1464no—
1683C23—1461no—
1684C23—1461no—
1685C23—1461no—
1686C23C22×C22⋊D7311yescharacteristic
1687C23C22×C22⋊D7311yescharacteristic
1688C23C22×C22⋊D7311yescharacteristic
1689C23C22×C22⋊D7311yescharacteristic
1690C23C22×C22⋊D7311yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—41no—
1698Q8—81no—
1699Q8—81no—
1700Q8—81no—
1701Q8—2922no—
1702Q8—1461no—
1703Q8—1461no—
1704Q8—1461no—
1705Q8—1461no—
1706Q8—1461no—
1707Q8—1461no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—5841no—
1732D4—5841no—
1733D4—732no—
1734D4—732no—
1735D4—1464no—
1736D4—1461no—
1737D4—1461no—
1738D4—1461no—
1739D4—1461no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—5841no—
1776C2×C4—5841no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—1461no—
1780C2×C4—1461no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4C22×C22⋊D7311yescharacteristic
1785C2×C4C22×C22⋊D7311yescharacteristic
1786C2×C4C22×C22⋊D7311yescharacteristic
1787C2×C4C22×C22⋊D7311yescharacteristic
1788C2×C4C22×C22⋊D7311yescharacteristic
1789C2×C4C22×C22⋊D7311yescharacteristic
1790C2×C4C22×C22⋊D7311yescharacteristic
1791C2×C4C22×C22⋊D7311yescharacteristic
1792C2×C4C22×C22⋊D7311yescharacteristic
1793C2×C4C24×D7311yescharacteristic
1794C8—1461no—
1795C8—1461no—
1796C8—1461no—
1797C8—1461no—
1798C8—1461no—
1799C8—1461no—
1800C8—1461no—
1801C8—1461no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—82no—
1821C22—2921no—
1822C22—2921no—
1823C22—2921no—
1824C22—2921no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—5844no—
1829C22—11682no—
1830C22—11682no—
1831C22—1462no—
1832C22—1462no—
1833C22C23×C22⋊D7311yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—2921no—
1851C4—2921no—
1852C4—2921no—
1853C4—2921no—
1854C4—2921no—
1855C4H(5,𝔽2)×D7311yescharacteristic
1856C4H(5,𝔽2)×D7311yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—41no—
1861C2—41no—
1862C2—81no—
1863C2—2922no—
1864C2—2922no—
1865C2—5841no—
1866C2#2262356211yescharacteristic
1867C2#2262470211yescharacteristic
1868C2#2262471811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3541C2
socleC22×C73C23×D4
hypercenter#3541D73
hypocenterC73#61613
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #22623573C2semidirect
2. #22622241C2semidirect
3. #22622126C2semidirect
4. #22622021C2semidirect
5. #22622006C2semidirect
6. #22621961C2semidirect
7. #22621901C2semidirect
8. #22621842C2semidirect
9. #22621760C2semidirect
10. #22621649C2semidirect
11. #22621639C2semidirect
12. #22621577C2semidirect
13. #22621563C2semidirect
14. #22621487C2semidirect
15. #22621487C2semidirect
16. #22621457C2semidirect
17. #22621442C2semidirect
18. #22621034C2semidirect
19. #22621008C2semidirect
20. #22620822C2semidirect
21. #22620807C2semidirect
22. #22620768C2semidirect
23. #22620712C2semidirect
24. #22620178C2semidirect
25. #22620109C2semidirect
26. #22619232C2semidirect
27. #22619206C2semidirect
28. #22619189C2semidirect
29. #22619147C2semidirect
30. #22618979C2semidirect
31. C73×#3541C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556622C22semidirect
36. C2×#14556622C22semidirect
37. C2×#14556616C22semidirect
38. C2×#14556611C22semidirect
39. C2×#14556611C22semidirect
40. C2×#14556611C22semidirect
41. C22×#11924015C22semidirect
62. #17988982C22semidirect
63. #17988979C22semidirect
64. #17988969C22semidirect
65. #17988966C22semidirect
66. #17988957C22semidirect
67. #17988949C22semidirect
68. #17988944C22semidirect
69. #17988939C22semidirect
70. #17988928C22semidirect
71. #17988928C22semidirect
72. #17988928C22semidirect
73. #17988925C22semidirect
74. #17988925C22semidirect
75. #17988925C22semidirect
76. #17988922C22semidirect
77. #17988917C22semidirect
78. #17988917C22semidirect
79. #17988911C22semidirect
80. #17988908C22semidirect
81. #17988900C22semidirect
82. #17988884C22semidirect
83. #17988884C22semidirect
84. #17988874C22semidirect
85. #17988864C22semidirect
86. #17988843C22semidirect
87. #17988843C22semidirect
88. #17988843C22semidirect
89. #17988843C22semidirect
90. #17988838C22semidirect
91. #17988835C22semidirect
92. #17988831C22semidirect
93. #17988831C22semidirect
94. #17988826C22semidirect
95. #17988826C22semidirect
96. #17988826C22semidirect
97. #17988826C22semidirect
98. #17988826C22semidirect
99. #17988818C22semidirect
100. #17988818C22semidirect
101. #17988814C22semidirect
102. #17988809C22semidirect
103. #17988809C22semidirect
104. #17988809C22semidirect
105. #17988802C22semidirect
106. #17988799C22semidirect
107. #17988799C22semidirect
108. #17988797C22semidirect
109. #17988797C22semidirect
110. #17988797C22semidirect
111. #17988792C22semidirect
112. #17988789C22semidirect
113. #17988789C22semidirect
114. #17988749C22semidirect
115. #17988749C22semidirect
116. #17988749C22semidirect
120. #17988747C22semidirect
121. #17988747C22semidirect
122. #17988747C22semidirect
123. #17988747C22semidirect
124. #17988747C22semidirect
125. #17988747C22semidirect
126. #17988747C22semidirect
127. #17988747C22semidirect
128. #17988747C22semidirect
129. #17988743C22semidirect
130. #17988743C22semidirect
131. #17988743C22semidirect
132. #17988742C22semidirect
133. #17988742C22semidirect
134. #17988742C22semidirect
138. #17988737C22semidirect
139. #17988737C22semidirect
140. #17988737C22semidirect
141. #17988732C22semidirect
143. #17988730C22semidirect
144. #17988730C22semidirect
145. #17988730C22semidirect
146. #17988726C22semidirect
147. #17988725C22semidirect
149. #17988720C22semidirect
150. #17988697C22semidirect
151. #17988685C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. C4×#11924015C22semidirect
155. C4×#11924015C22semidirect
156. C4×#11924015C22semidirect
157. C4×#11924013C22semidirect
158. #17988665C22semidirect
159. #17988665C22semidirect
160. #17988659C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
163. #17988659C22semidirect
164. D4×#10596831C22semidirect
165. D4×#10596831C22semidirect
166. #17988648C22semidirect
167. #17988648C22semidirect
168. #17988591C22semidirect
169. #17988586C22semidirect
170. #17988586C22semidirect
171. #17988586C22semidirect
172. #17988581C22semidirect
173. #17988581C22semidirect
174. #17988581C22semidirect
175. C2×#14556511C22semidirect
178. #17988551C22semidirect
179. C2×C22⋊#10596831C22semidirect
182. #556×C73C22semidirect
184. #554×C73C22semidirect
186. #553×C73C22semidirect
187. #552×C73C22semidirect
188. D4×Q8×C73C22semidirect
189. #548×C73C22semidirect
190. #548×C73C22semidirect
191. #547×C73C22semidirect
193. #542×C73C22semidirect
194. #541×C73C22semidirect
201. #525×C73C22semidirect
202. C2×C22⋊Q8×C73C22semidirect
935. #3541D73semidirect
966. C73#61613semidirect
979. #556C2×D73semidirect
981. #554C2×D73semidirect
983. #553C2×D73semidirect
984. #552C2×D73semidirect
985. D4×Q8C2×D73semidirect
986. #548C2×D73semidirect
987. #548C2×D73semidirect
994. #547C2×D73semidirect
1002. #542C2×D73semidirect
1003. #541C2×D73semidirect
1015. #525C2×D73semidirect
1018. C2×C22⋊Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235732
#226222412
#226221262
#226220212
#226220062
#226219612
#226219012
#226218422
#226217602
#226216492
#226216392
#226215772
#226215632
#226214872
#226214572
#226214422
#226210342
#226210082
#226208222
#226208072
#226207682
#226207122
#226201782
#226201092
#226192322
#226192062
#226191892
#226191472
#226189792
C73×#35412
#6161373