Finite Group Databasebeta

← #33972532

Subgroups — #33972532

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623592C211yesmaximal, characteristic, complemented
2#22622263C211yesmaximal, characteristic, complemented
3#22622193C211yesmaximal, characteristic, complemented
4#22622156C211yesmaximal, characteristic, complemented
5#22622126C211yesmaximal, characteristic, complemented
6#22622006C211yesmaximal, characteristic, complemented
7#22621991C211yesmaximal, characteristic, complemented
8#22621946C211yesmaximal, characteristic, complemented
9#22621931C211yesmaximal, characteristic, complemented
10#22621593C211yesmaximal, characteristic, complemented
11#22621584C211yesmaximal, characteristic, complemented
12#22621563C211yesmaximal, characteristic, complemented
13#22621531C211yesmaximal, characteristic, complemented
14#22621517C211yesmaximal, characteristic, complemented
15#22621482C211yesmaximal, characteristic, complemented
16#22621442C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22621019C211yesmaximal, characteristic, complemented
19#22620997C211yesmaximal, characteristic, complemented
20#22620828C211yesmaximal, characteristic, complemented
21#22620813C211yesmaximal, characteristic, complemented
22#22620741C211yesmaximal, characteristic, complemented
23#22620733C211yesmaximal, characteristic, complemented
24#22620187C211yesmaximal, characteristic, complemented
25#22620139C211yesmaximal, characteristic, complemented
26#22619232C211yesmaximal, characteristic, complemented
27#22619206C211yesmaximal, characteristic, complemented
28#22619189C211yesmaximal, characteristic, complemented
29#22619171C211yesmaximal, characteristic, complemented
30#22618993C211yesmaximal, characteristic, complemented
31C73×#3541C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×#11924028C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556622C2211yescharacteristic, complemented
36C2×#14556622C2211yescharacteristic, complemented
37C2×#14556621C2211yescharacteristic, complemented
38C2×#14556616C2211yescharacteristic, complemented
39C2×#14556616C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C22×#11924015C2211yescharacteristic, complemented
42#17989258C2211yescharacteristic
43#17989258C2211yescharacteristic
44#17989246C2211yescharacteristic
45#17989246C2211yescharacteristic
46#17989233C2211yescharacteristic
47#17989233C2211yescharacteristic
48#17989229—21no—
49#17989229—21no—
50D4×D292C2211yescharacteristic
51D4×D292C2211yescharacteristic
52#17989219—21no—
53#17989219—21no—
54#17989167—21no—
55#17989165C2211yescharacteristic
56#17989156C2211yescharacteristic
57#17989153—21no—
58#17989100—21no—
59C2×#14556565C2211yescharacteristic
60#121×D73—21no—
61#17989067C2211yescharacteristic
62#17988979C2211yescharacteristic, complemented
63#17988977C2211yescharacteristic, complemented
64#17988969C2211yescharacteristic, complemented
65#17988961C2211yescharacteristic, complemented
66#17988953C2211yescharacteristic, complemented
67#17988949C2211yescharacteristic, complemented
68#17988944C2211yescharacteristic, complemented
69#17988935C2211yescharacteristic, complemented
70#17988928C2211yescharacteristic, complemented
71#17988922C2211yescharacteristic, complemented
72#17988920C2211yescharacteristic, complemented
73#17988920C2211yescharacteristic, complemented
74#17988915C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988911C2211yescharacteristic, complemented
77#17988911C2211yescharacteristic, complemented
78#17988900C2211yescharacteristic, complemented
79#17988900C2211yescharacteristic, complemented
80#17988900C2211yescharacteristic, complemented
81#17988898C2211yescharacteristic, complemented
82#17988891C2211yescharacteristic, complemented
83#17988884C2211yescharacteristic, complemented
84#17988879C2211yescharacteristic, complemented
85#17988864C2211yescharacteristic, complemented
86#17988843C2211yescharacteristic, complemented
87#17988838C2211yescharacteristic, complemented
88#17988838C2211yescharacteristic, complemented
89#17988835C2211yescharacteristic, complemented
90#17988835C2211yescharacteristic, complemented
91#17988835C2211yescharacteristic, complemented
92#17988835C2211yescharacteristic, complemented
93#17988835C2211yescharacteristic, complemented
94#17988835C2211yescharacteristic, complemented
95#17988835C2211yescharacteristic, complemented
96#17988835C2211yescharacteristic, complemented
97#17988831C2211yescharacteristic, complemented
98#17988826C2211yescharacteristic, complemented
99#17988826C2211yescharacteristic, complemented
100#17988821C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic, complemented
102#17988809C2211yescharacteristic, complemented
103#17988809C2211yescharacteristic, complemented
104#17988809C2211yescharacteristic, complemented
105#17988806C2211yescharacteristic, complemented
106#17988802C2211yescharacteristic, complemented
107#17988799C2211yescharacteristic, complemented
108#17988794C2211yescharacteristic, complemented
109#17988789C2211yescharacteristic, complemented
110#17988787C2211yescharacteristic, complemented
111#17988787C2211yescharacteristic, complemented
112#17988787C2211yescharacteristic, complemented
113#17988782C2211yescharacteristic, complemented
114#17988749C2211yescharacteristic, complemented
115#17988747C2211yescharacteristic
116#17988747C2211yescharacteristic
117#17988747C2211yescharacteristic
118#17988747C2211yescharacteristic, complemented
119#17988747C2211yescharacteristic, complemented
120#17988747C2211yescharacteristic, complemented
121#17988747C2211yescharacteristic, complemented
122#17988747C2211yescharacteristic, complemented
123#17988747C2211yescharacteristic, complemented
124#17988747C2211yescharacteristic, complemented
125#17988747C2211yescharacteristic, complemented
126#17988743C2211yescharacteristic, complemented
127#17988742C2211yescharacteristic, complemented
128#17988742C2211yescharacteristic, complemented
129#17988737C2211yescharacteristic, complemented
130#17988737C2211yescharacteristic, complemented
131#17988737C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic, complemented
135#17988737C2211yescharacteristic, complemented
136#17988737C2211yescharacteristic, complemented
137#17988732C2211yescharacteristic, complemented
138#17988732C2211yescharacteristic, complemented
139#17988732C2211yescharacteristic, complemented
140#17988730C2211yescharacteristic
141#17988730C2211yescharacteristic, complemented
142#17988730C2211yescharacteristic, complemented
143#17988730C2211yescharacteristic, complemented
144#17988730C2211yescharacteristic, complemented
145#17988726C2211yescharacteristic, complemented
146#17988726C2211yescharacteristic, complemented
147#17988726C2211yescharacteristic, complemented
148#17988720C2211yescharacteristic, complemented
149#17988720C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154C4×#11924018C2211yescharacteristic, complemented
155C4×#11924018C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158#17988665C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988665C2211yescharacteristic, complemented
161#17988665C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163#17988659C2211yescharacteristic, complemented
164#17988659C2211yescharacteristic, complemented
165#17988659C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988595C2211yescharacteristic, complemented
169#17988591C2211yescharacteristic, complemented
170#17988591C2211yescharacteristic, complemented
171#17988586C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic, complemented
173#17988586C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic, complemented
175C2×#14556511C2211yescharacteristic, complemented
176#17988554C2211yescharacteristic, complemented
177#17988554C2211yescharacteristic, complemented
178#17988551C2211yescharacteristic, complemented
179#17988551C2211yescharacteristic, 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, complemented
199#536×C73C2211yescharacteristic, complemented
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
216C22×Dic146C2311yescharacteristic
217C22×D292C2311yescharacteristic
218C22×D292C2311yescharacteristic
219C22×D292C2311yescharacteristic
220C22×D292C2311yescharacteristic
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C22×C4×D73—21no—
229#14556622—42no—
230#14556622—42no—
231#14556622—42no—
232#14556621—42no—
233#14556616—42no—
234#14556616—42no—
235#14556611—42no—
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924015—42no—
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C2×#11924012C2311yescharacteristic
263C2×#11924012C2311yescharacteristic
264C2×#11924012C2311yescharacteristic
265C2×#11924012C2311yescharacteristic
266C2×#11924012C2311yescharacteristic
267C22×#10596831C2311yescharacteristic
268C22×#10596831C2311yescharacteristic
269#14556588C2311yescharacteristic
270#14556588C2311yescharacteristic
271#14556587—21no—
272#14556587—21no—
273#14556579C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556570C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556569—21no—
282#14556569—21no—
283#14556567—21no—
284#14556566—21no—
285#14556566—21no—
286#14556566—21no—
287#14556566—21no—
288#14556565—21no—
289#14556565—21no—
290#14556565C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556565C2311yescharacteristic
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556562—21no—
307#14556561—21no—
308#14556561—21no—
309#14556561—21no—
310#14556561—21no—
311#14556561—21no—
312#14556561—21no—
313#14556559—21no—
314#14556559—21no—
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×D292C2311yescharacteristic
318C4×D292C2311yescharacteristic
319#14556553—21no—
320#14556553—21no—
321#14556551—21no—
322#14556551—21no—
323#14556551—21no—
324#14556551—21no—
325#14556549—21no—
326C2×C4⋊Dic73C2311yescharacteristic
327C4⋊C4×D73—21no—
328C2×#11924005—21no—
329C22⋊C4×D73—21no—
330C22⋊C4×D73—21no—
331#14556524C2311yescharacteristic
332#14556524C2311yescharacteristic
333#14556524C2311yescharacteristic
334#14556524C2311yescharacteristic
335#14556524C2311yescharacteristic
336#14556524C2311yescharacteristic
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#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
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—
493C23×D73—21no—
494#11924029—44no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924028—44no—
509C2×Dic146—22no—
510C2×Dic146—21no—
511C2×Dic146—41no—
512C2×Dic146C2411yescharacteristic
513C2×Dic146C2411yescharacteristic
514C2×D292—22no—
515C2×D292—22no—
516C2×D292—22no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—41no—
526C2×D292—41no—
527C2×D292—41no—
528C2×D292—41no—
529C2×D292—41no—
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—44no—
547C2×C22⋊D73—82no—
548D4×D73—44no—
549D4×D73—44no—
550D4×D73—44no—
551D4×D73—82no—
552D4×D73—82no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—44no—
564#11924018—22no—
565#11924018—22no—
566#11924018—22no—
567#11924018—41no—
568#11924018—41no—
569#11924018—41no—
570#11924016—22no—
571#11924016—41no—
572#11924015—22no—
573#11924015—22no—
574#11924015—22no—
575#11924015—41no—
576#11924015—41no—
577#11924015—41no—
578#11924015—41no—
579#11924015—41no—
580#11924015—41no—
581#11924015—41no—
582#11924015—41no—
583#11924015—41no—
584#11924013—22no—
585#11924013—41no—
586#11924013—41no—
587#11924013—41no—
588#11924012—41no—
589#11924012—41no—
590#11924012—41no—
591#11924012—41no—
592#11924012—41no—
593#11924012—41no—
594C2×#10596831—41no—
595C2×#10596831—41no—
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C4⋊Dic73—21no—
605C4⋊Dic73C2411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—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—
623#11924005—21no—
624#11924005—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C24×C73C2×D411yescharacteristic
628#41×C73—41no—
629#41×C73—41no—
630#41×C73—41no—
631#41×C73—41no—
632#41×C73—41no—
633#41×C73—41no—
634C2×Q8×C73—21no—
635C2×Q8×C73—21no—
636C2×Q8×C73—21no—
637C2×Q8×C73—41no—
638C2×Q8×C73—41no—
639C2×Q8×C73—41no—
640C2×Q8×C73—41no—
641C2×Q8×C73C2×D411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2×D411yescharacteristic
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2×D411yescharacteristic
655C2×D4×C73C2×D411yescharacteristic
656C2×D4×C73C2×D411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—41no—
666C22×C4×C73—41no—
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
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×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2×D411yescharacteristic
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2×D411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
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
728C22⋊C4×C73C2×D411yescharacteristic
729C22⋊C4×C73C2×D411yescharacteristic
730C22⋊C4×C73C2×D411yescharacteristic
731C42×C73—21no—
732C42×C73—21no—
733C42×C73—21no—
734C42×C73—21no—
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—41no—
740C23×C73—41no—
741C23×C73—41no—
742C23×C73C22×D411yescharacteristic
743C23×C73C22×D411yescharacteristic
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C23×C73C22×D411yescharacteristic
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—41no—
770Q8×C73—81no—
771Q8×C73—81no—
772Q8×C73—81no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—41no—
776D4×C73—41no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—41no—
780D4×C73—41no—
781D4×C73—41no—
782D4×C73—42no—
783D4×C73—81no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
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—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—41no—
805C2×C4×C73—41no—
806C2×C4×C73—41no—
807C2×C4×C73—81no—
808C2×C4×C73—81no—
809C2×C4×C73—81no—
810C2×C4×C73—81no—
811C2×C4×C73—81no—
812C2×C4×C73—81no—
813C2×C4×C73—81no—
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C22×D411yescharacteristic
818C2×C4×C73C22×D411yescharacteristic
819C2×C4×C73C22×D411yescharacteristic
820C2×C4×C73C22×D411yescharacteristic
821C2×C4×C73C22×D411yescharacteristic
822C2×C4×C73C22×D411yescharacteristic
823C2×C4×C73C2511yescharacteristic
824C22⋊D73—24no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C2×Dic73—21no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—42no—
841C2×Dic73—81no—
842D292—21no—
843D292—21no—
844D292—21no—
845D292—21no—
846D292—21no—
847D292—21no—
848D292—21no—
849D292—42no—
850D292—42no—
851D292—42no—
852D292—42no—
853D292—81no—
854D292—81no—
855D292—81no—
856D292—81no—
857D292H(5,𝔽2)12yes—
858C4×D73—24no—
859C4×D73—42no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—81no—
865C4×D73—81no—
866Dic146—21no—
867Dic146—21no—
868Dic146—21no—
869Dic146—42no—
870Dic146H(5,𝔽2)12yes—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—82no—
898C22×C73C23×D411yescharacteristic
899C2×D73—22no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—84no—
912C2×D73—162no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—21no—
920C4×C73—21no—
921C4×C73—21no—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—41no—
925C4×C73—41no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73C2×H(5,𝔽2)11yescharacteristic
932C4×C73C2×H(5,𝔽2)11yescharacteristic
933Dic73—22no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—41no—
942C2×C73—41no—
943C2×C73—81no—
944C2×C73#348411yescharacteristic
945C2×C73#358511yescharacteristic
946C2×C73#358611yescharacteristic
947D73—42no—
948D73—81no—
949D73—81no—
950D73—81no—
951#3541D7311yescharacteristic, complemented
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135—731no—
992C22×SD16—731no—
993#563—21no—
994#562—21no—
995#556C2×D7311yescharacteristic, complemented
996#554—21no—
997#554C2×D7311yescharacteristic, complemented
998#553—21no—
999#553C2×D7311yescharacteristic, complemented
1000#552C2×D7311yescharacteristic, complemented
1001#550—731no—
1002#550—731no—
1003D4×Q8C2×D7311yescharacteristic, complemented
1004#548—731no—
1005#548—731no—
1006#548C2×D7311yescharacteristic, complemented
1007#548C2×D7311yescharacteristic, complemented
1008#547C2×D7311yescharacteristic, complemented
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—21no—
1018#542C2×D7311yescharacteristic, complemented
1019#541C2×D7311yescharacteristic, complemented
1020#539—21no—
1021#538—21no—
1022#538—21no—
1023#537—731no—
1024#537—1461no—
1025#537C2×D7311yescharacteristic, complemented
1026#536C2×D7311yescharacteristic, complemented
1027#535—731no—
1028#535—1461no—
1029#525—1461no—
1030#525C2×D7311yescharacteristic
1031#525C2×D7311yescharacteristic, complemented
1032C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—1461no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8C22×D7311yescharacteristic
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C23×C4—1461no—
1185C23×C4C22×D7311yescharacteristic
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16—731no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16—731no—
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—21no—
1227C4⋊Q8—21no—
1228C4⋊Q8C22×D7311yescharacteristic
1229C4⋊Q8C22×D7311yescharacteristic
1230#127—731no—
1231#127—731no—
1232#127—1461no—
1233#127—1461no—
1234#126—21no—
1235#126—21no—
1236#126—21no—
1237#126—21no—
1238#126—21no—
1239#126—21no—
1240#126—21no—
1241#125—21no—
1242#125—21no—
1243#125—21no—
1244#125—21no—
1245#125C22×D7311yescharacteristic
1246#124—21no—
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—731no—
1252#124—731no—
1253#124—1461no—
1254#124—1461no—
1255#124C22×D7311yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—1461no—
1265#123—1461no—
1266#123C22⋊D7311yescharacteristic
1267#123C22⋊D7311yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8C22⋊D7311yescharacteristic
1284C22⋊Q8C22⋊D7311yescharacteristic
1285C22⋊Q8C22×D7311yescharacteristic
1286C22⋊Q8C22×D7311yescharacteristic
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121C22⋊D7311yescharacteristic
1325#121C22⋊D7311yescharacteristic
1326#121C22×D7311yescharacteristic
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—21no—
1330#120—1461no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120C22⋊D7311yescharacteristic
1339#120C22⋊D7311yescharacteristic
1340C4×Q8—21no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8C22×D7311yescharacteristic
1344C4×Q8C22×D7311yescharacteristic
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—731no—
1354C4×D4—731no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4C22×D7311yescharacteristic
1362C4×D4C22×D7311yescharacteristic
1363C4×D4C22×D7311yescharacteristic
1364C4×D4C22×D7311yescharacteristic
1365C4×D4C22×D7311yescharacteristic
1366#117—21no—
1367#117—1461no—
1368#117C22×D7311yescharacteristic
1369#117C22×D7311yescharacteristic
1370#117C22×D7311yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—21no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4C22×D7311yescharacteristic
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107—731no—
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437#97—731no—
1438#97—731no—
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—1461no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24C2×C22⋊D7311yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2921no—
1456#41—2921no—
1457#41—2921no—
1458#41—2924no—
1459#41—2924no—
1460#41—2924no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—2921no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8C2×C22⋊D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—2921no—
1493C2×D4—2924no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2924no—
1497C2×D4—5842no—
1498C2×D4—5842no—
1499C2×D4—5842no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1462no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4C2×C22⋊D7311yescharacteristic
1528C2×D4C2×C22⋊D7311yescharacteristic
1529C2×D4C2×C22⋊D7311yescharacteristic
1530C2×D4C2×C22⋊D7311yescharacteristic
1531C2×D4C2×C22⋊D7311yescharacteristic
1532C2×D4C2×C22⋊D7311yescharacteristic
1533C2×D4C2×C22⋊D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—41no—
1543C22×C4—41no—
1544C22×C4—2924no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4C2×C22⋊D7311yescharacteristic
1556C22×C4C2×C22⋊D7311yescharacteristic
1557C22×C4C2×C22⋊D7311yescharacteristic
1558C22×C4C23×D7311yescharacteristic
1559C22×C4C23×D7311yescharacteristic
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—2921no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—2921no—
1570SD16—2921no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—2921no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8—731no—
1600C2×C8—731no—
1601C2×C8—731no—
1602C2×C8—731no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4C2×C22⋊D7311yescharacteristic
1630C4⋊C4C2×C22⋊D7311yescharacteristic
1631C4⋊C4C2×C22⋊D7311yescharacteristic
1632C4⋊C4C2×C22⋊D7311yescharacteristic
1633C4⋊C4C2×C22⋊D7311yescharacteristic
1634C4⋊C4C2×C22⋊D7311yescharacteristic
1635C4⋊C4C23×D7311yescharacteristic
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4C2×C22⋊D7311yescharacteristic
1671C22⋊C4C2×C22⋊D7311yescharacteristic
1672C22⋊C4C2×C22⋊D7311yescharacteristic
1673C22⋊C4C2×C22⋊D7311yescharacteristic
1674C22⋊C4C2×C22⋊D7311yescharacteristic
1675C22⋊C4C2×C22⋊D7311yescharacteristic
1676C22⋊C4C2×C22⋊D7311yescharacteristic
1677C22⋊C4C2×C22⋊D7311yescharacteristic
1678C22⋊C4C2×C22⋊D7311yescharacteristic
1679C22⋊C4C2×C22⋊D7311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—21no—
1685C42—1461no—
1686C42—1461no—
1687C42C23×D7311yescharacteristic
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—2922no—
1694C23—2922no—
1695C23—2922no—
1696C23—2922no—
1697C23—2922no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—1461no—
1706C23—1461no—
1707C23—1461no—
1708C23—1461no—
1709C23C22×C22⋊D7311yescharacteristic
1710C23C22×C22⋊D7311yescharacteristic
1711C23C22×C22⋊D7311yescharacteristic
1712C23C22×C22⋊D7311yescharacteristic
1713C23C22×C22⋊D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—41no—
1721Q8—81no—
1722Q8—81no—
1723Q8—81no—
1724Q8—2922no—
1725Q8—732no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—41no—
1737D4—41no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2922no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—732no—
1763D4—1464no—
1764D4—1461no—
1765D4—1461no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—2922no—
1799C2×C4—2922no—
1800C2×C4—2922no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—5841no—
1805C2×C4—5841no—
1806C2×C4—5841no—
1807C2×C4—1464no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4C22×C22⋊D7311yescharacteristic
1813C2×C4C22×C22⋊D7311yescharacteristic
1814C2×C4C22×C22⋊D7311yescharacteristic
1815C2×C4C22×C22⋊D7311yescharacteristic
1816C2×C4C22×C22⋊D7311yescharacteristic
1817C2×C4C22×C22⋊D7311yescharacteristic
1818C2×C4C22×C22⋊D7311yescharacteristic
1819C2×C4C22×C22⋊D7311yescharacteristic
1820C2×C4C22×C22⋊D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—1461no—
1823C8—1461no—
1824C8—1461no—
1825C8—1461no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—82no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—5844no—
1861C22—11682no—
1862C22—11682no—
1863C22—11682no—
1864C22—1462no—
1865C22C23×C22⋊D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—2921no—
1883C4—2921no—
1884C4—2921no—
1885C4—1462no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4H(5,𝔽2)×D7311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—81no—
1894C2—2922no—
1895C2—5841no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262356211yescharacteristic
1899C2#2262471011yescharacteristic
1900C2#2262471811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3541C2
socleC22×C73C23×D4
hypercenter#3541D73
hypocenterC73#61654
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. #22623592C2semidirect
2. #22622263C2semidirect
3. #22622193C2semidirect
4. #22622156C2semidirect
5. #22622126C2semidirect
6. #22622006C2semidirect
7. #22621991C2semidirect
8. #22621946C2semidirect
9. #22621931C2semidirect
10. #22621593C2semidirect
11. #22621584C2semidirect
12. #22621563C2semidirect
13. #22621531C2semidirect
14. #22621517C2semidirect
15. #22621482C2semidirect
16. #22621442C2semidirect
17. #22621427C2semidirect
18. #22621019C2semidirect
19. #22620997C2semidirect
20. #22620828C2semidirect
21. #22620813C2semidirect
22. #22620741C2semidirect
23. #22620733C2semidirect
24. #22620187C2semidirect
25. #22620139C2semidirect
26. #22619232C2semidirect
27. #22619206C2semidirect
28. #22619189C2semidirect
29. #22619171C2semidirect
30. #22618993C2semidirect
31. C73×#3541C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556622C22semidirect
36. C2×#14556622C22semidirect
37. C2×#14556621C22semidirect
38. C2×#14556616C22semidirect
39. C2×#14556616C22semidirect
40. C2×#14556611C22semidirect
41. C22×#11924015C22semidirect
62. #17988979C22semidirect
63. #17988977C22semidirect
64. #17988969C22semidirect
65. #17988961C22semidirect
66. #17988953C22semidirect
67. #17988949C22semidirect
68. #17988944C22semidirect
69. #17988935C22semidirect
70. #17988928C22semidirect
71. #17988922C22semidirect
72. #17988920C22semidirect
73. #17988920C22semidirect
74. #17988915C22semidirect
75. #17988911C22semidirect
76. #17988911C22semidirect
77. #17988911C22semidirect
78. #17988900C22semidirect
79. #17988900C22semidirect
80. #17988900C22semidirect
81. #17988898C22semidirect
82. #17988891C22semidirect
83. #17988884C22semidirect
84. #17988879C22semidirect
85. #17988864C22semidirect
86. #17988843C22semidirect
87. #17988838C22semidirect
88. #17988838C22semidirect
89. #17988835C22semidirect
90. #17988835C22semidirect
91. #17988835C22semidirect
92. #17988835C22semidirect
93. #17988835C22semidirect
94. #17988835C22semidirect
95. #17988835C22semidirect
96. #17988835C22semidirect
97. #17988831C22semidirect
98. #17988826C22semidirect
99. #17988826C22semidirect
100. #17988821C22semidirect
101. #17988818C22semidirect
102. #17988809C22semidirect
103. #17988809C22semidirect
104. #17988809C22semidirect
105. #17988806C22semidirect
106. #17988802C22semidirect
107. #17988799C22semidirect
108. #17988794C22semidirect
109. #17988789C22semidirect
110. #17988787C22semidirect
111. #17988787C22semidirect
112. #17988787C22semidirect
113. #17988782C22semidirect
114. #17988749C22semidirect
118. #17988747C22semidirect
119. #17988747C22semidirect
120. #17988747C22semidirect
121. #17988747C22semidirect
122. #17988747C22semidirect
123. #17988747C22semidirect
124. #17988747C22semidirect
125. #17988747C22semidirect
126. #17988743C22semidirect
127. #17988742C22semidirect
128. #17988742C22semidirect
129. #17988737C22semidirect
130. #17988737C22semidirect
131. #17988737C22semidirect
132. #17988737C22semidirect
133. #17988737C22semidirect
134. #17988737C22semidirect
135. #17988737C22semidirect
136. #17988737C22semidirect
137. #17988732C22semidirect
138. #17988732C22semidirect
139. #17988732C22semidirect
141. #17988730C22semidirect
142. #17988730C22semidirect
143. #17988730C22semidirect
144. #17988730C22semidirect
145. #17988726C22semidirect
146. #17988726C22semidirect
147. #17988726C22semidirect
148. #17988720C22semidirect
149. #17988720C22semidirect
150. #17988692C22semidirect
151. #17988687C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. C4×#11924018C22semidirect
155. C4×#11924018C22semidirect
156. C4×#11924015C22semidirect
157. C4×#11924013C22semidirect
158. #17988665C22semidirect
159. #17988665C22semidirect
160. #17988665C22semidirect
161. #17988665C22semidirect
162. #17988659C22semidirect
163. #17988659C22semidirect
164. #17988659C22semidirect
165. #17988659C22semidirect
166. #17988648C22semidirect
167. #17988648C22semidirect
168. #17988595C22semidirect
169. #17988591C22semidirect
170. #17988591C22semidirect
171. #17988586C22semidirect
172. #17988586C22semidirect
173. #17988586C22semidirect
174. #17988581C22semidirect
175. C2×#14556511C22semidirect
176. #17988554C22semidirect
177. #17988554C22semidirect
178. #17988551C22semidirect
179. #17988551C22semidirect
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
198. #537×C73C22semidirect
199. #536×C73C22semidirect
201. #525×C73C22semidirect
202. C2×C22⋊Q8×C73C22semidirect
951. #3541D73semidirect
982. C73#61654semidirect
995. #556C2×D73semidirect
997. #554C2×D73semidirect
999. #553C2×D73semidirect
1000. #552C2×D73semidirect
1003. D4×Q8C2×D73semidirect
1006. #548C2×D73semidirect
1007. #548C2×D73semidirect
1008. #547C2×D73semidirect
1018. #542C2×D73semidirect
1019. #541C2×D73semidirect
1025. #537C2×D73semidirect
1026. #536C2×D73semidirect
1031. #525C2×D73semidirect
1032. C2×C22⋊Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235922
#226222632
#226221932
#226221562
#226221262
#226220062
#226219912
#226219462
#226219312
#226215932
#226215842
#226215632
#226215312
#226215172
#226214822
#226214422
#226214272
#226210192
#226209972
#226208282
#226208132
#226207412
#226207332
#226201872
#226201392
#226192322
#226192062
#226191892
#226191712
#226189932
C73×#35412
#6165473