Finite Group Databasebeta

← #33968756

Subgroups — #33968756

Order 18688.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623875C211yesmaximal, characteristic, complemented
2#22622997C211yesmaximal, characteristic, complemented
3#22622870C211yesmaximal, characteristic, complemented
4#22622627C211yesmaximal, characteristic, complemented
5#22622576C211yesmaximal, characteristic, complemented
6#22622491C211yesmaximal, characteristic, complemented
7#22622395C211yesmaximal, characteristic, complemented
8#22622380C211yesmaximal, characteristic, complemented
9#22621833C211yesmaximal, characteristic, complemented
10#22621818C211yesmaximal, characteristic, complemented
11#22621796C211yesmaximal, characteristic, complemented
12#22621775C211yesmaximal, characteristic, complemented
13#22621760C211yesmaximal, characteristic, complemented
14#22621749C211yesmaximal, characteristic, complemented
15#22621563C211yesmaximal, characteristic, complemented
16#22621442C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22620608C211yesmaximal, characteristic, complemented
19#22620601C211yesmaximal, characteristic, complemented
20#22620495C211yesmaximal, characteristic, complemented
21#22620222C211yesmaximal, characteristic, complemented
22#22620208C211yesmaximal, characteristic, complemented
23#22620202C211yesmaximal, characteristic, complemented
24#22620178C211yesmaximal, characteristic, complemented
25#22620102C211yesmaximal, characteristic, complemented
26#22620065C211yesmaximal, characteristic, complemented
27#22618907C211yesmaximal, characteristic, complemented
28#22618774C211yesmaximal, characteristic, complemented
29#22618759C211yesmaximal, characteristic, complemented
30C2×C4×#11924015C211yesmaximal, characteristic, complemented
31C73×#3516C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989288—21no—
38#17989283C2211yescharacteristic
39#17989277C2211yescharacteristic
40#17989264—21no—
41#17989262—21no—
42#17989241C2211yescharacteristic
43#17989233C2211yescharacteristic
44#17989233C2211yescharacteristic
45#17989226—21no—
46D4×D292C2211yescharacteristic
47#17989208C2211yescharacteristic
48#17989192C2211yescharacteristic
49#17989185—21no—
50#17989171—21no—
51#17989121C2211yescharacteristic
52#17989095—21no—
53#123×D73—21no—
54#17989067C2211yescharacteristic
55#17989061C2211yescharacteristic
56C2×C4×D292C2211yescharacteristic
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988979C2211yescharacteristic, complemented
61#17988977C2211yescharacteristic
62#17988969C2211yescharacteristic, complemented
63#17988944C2211yescharacteristic, complemented
64#17988944C2211yescharacteristic, complemented
65#17988941C2211yescharacteristic, complemented
66#17988941C2211yescharacteristic, complemented
67#17988937C2211yescharacteristic, complemented
68#17988935C2211yescharacteristic
69#17988925C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988922C2211yescharacteristic, complemented
72#17988917C2211yescharacteristic, complemented
73#17988915C2211yescharacteristic, complemented
74#17988915C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988911C2211yescharacteristic, complemented
77#17988905C2211yescharacteristic
78#17988905C2211yescharacteristic
79#17988903C2211yescharacteristic, complemented
80#17988898C2211yescharacteristic, complemented
81#17988894C2211yescharacteristic, complemented
82#17988894C2211yescharacteristic, complemented
83#17988894C2211yescharacteristic, complemented
84#17988894C2211yescharacteristic, complemented
85#17988884C2211yescharacteristic
86#17988884C2211yescharacteristic
87#17988884C2211yescharacteristic, complemented
88#17988884C2211yescharacteristic, complemented
89#17988877C2211yescharacteristic, complemented
90#17988874C2211yescharacteristic
91#17988872C2211yescharacteristic, complemented
92#17988869C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic, complemented
95#17988835C2211yescharacteristic
96#17988835C2211yescharacteristic, complemented
97#17988826C2211yescharacteristic, complemented
98#17988826C2211yescharacteristic, complemented
99#17988821C2211yescharacteristic
100#17988821C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic
102#17988818C2211yescharacteristic
103#17988818C2211yescharacteristic, complemented
104#17988814C2211yescharacteristic, complemented
105#17988809C2211yescharacteristic, complemented
106#17988809C2211yescharacteristic, complemented
107#17988809C2211yescharacteristic, complemented
108#17988806C2211yescharacteristic, complemented
109#17988802C2211yescharacteristic, complemented
110#17988799C2211yescharacteristic
111#17988799C2211yescharacteristic
112#17988799C2211yescharacteristic, complemented
113#17988789C2211yescharacteristic
114#17988789C2211yescharacteristic, complemented
115#17988787C2211yescharacteristic
116#17988787C2211yescharacteristic
117#17988749C2211yescharacteristic, complemented
118#17988747C2211yescharacteristic
119#17988743C2211yescharacteristic, complemented
120#17988737C2211yescharacteristic
121#17988737C2211yescharacteristic
122#17988737C2211yescharacteristic
123#17988732C2211yescharacteristic
124#17988730C2211yescharacteristic
125#17988726C2211yescharacteristic
126#17988726C2211yescharacteristic, complemented
127#17988726C2211yescharacteristic, complemented
128#17988720C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130Q8×#10596831C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic, complemented
133#17988697C2211yescharacteristic, complemented
134#17988692C2211yescharacteristic, complemented
135#17988692C2211yescharacteristic, complemented
136#17988692C2211yescharacteristic, complemented
137#17988685C2211yescharacteristic
138#17988685C2211yescharacteristic
139#17988685C2211yescharacteristic
140#17988685C2211yescharacteristic, complemented
141#17988685C2211yescharacteristic, complemented
142#17988685C2211yescharacteristic, complemented
143C4×#11924018C2211yescharacteristic, complemented
144C4×#11924018C2211yescharacteristic, complemented
145C4×#11924015C2211yescharacteristic
146C4×#11924015C2211yescharacteristic
147C4×#11924015C2211yescharacteristic
148C4×#11924015C2211yescharacteristic
149C4×#11924015C2211yescharacteristic
150C4×#11924015C2211yescharacteristic, complemented
151C4×#11924015C2211yescharacteristic, complemented
152C4×#11924015C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic
158C4×#11924013C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988659C2211yescharacteristic
161#17988659C2211yescharacteristic, complemented
162D4×#10596831C2211yescharacteristic
163D4×#10596831C2211yescharacteristic, complemented
164D4×#10596831C2211yescharacteristic, complemented
165#17988648C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988630C2211yescharacteristic, complemented
169#17988627C2211yescharacteristic, complemented
170C2×#14556522C2211yescharacteristic, complemented
171#17988583C2211yescharacteristic, complemented
172#17988581C2211yescharacteristic
173C2×#14556515C2211yescharacteristic, complemented
174C2×#14556515C2211yescharacteristic, complemented
175C2×#14556511C2211yescharacteristic
176C2×#14556511C2211yescharacteristic
177#17988543C2211yescharacteristic, complemented
178#17988543C2211yescharacteristic, complemented
179C2×C4×#10596831C2211yescharacteristic, complemented
180#557×C73C2211yescharacteristic, complemented
181#556×C73—21no—
182#556×C73C2211yescharacteristic, complemented
183#554×C73—21no—
184#554×C73C2211yescharacteristic
185#553×C73—21no—
186#553×C73C2211yescharacteristic, complemented
187#552×C73—21no—
188#552×C73C2211yescharacteristic, complemented
189D4×Q8×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#548×C73C2211yescharacteristic, complemented
192#542×C73—21no—
193#542×C73C2211yescharacteristic, complemented
194#541×C73—21no—
195#541×C73C2211yescharacteristic, complemented
196#529×C73—21no—
197#529×C73—21no—
198#529×C73C2211yescharacteristic
199#529×C73C2211yescharacteristic, complemented
200#520×C73C2211yescharacteristic, complemented
201#519×C73C2211yescharacteristic, complemented
202C2×C4×Q8×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C22×C4×D73—21no—
209#14556622—24no—
210#14556616—24no—
211C2×#11924018C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924015—24no—
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924012C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556588C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556585—21no—
239#14556584—21no—
240#14556583C2311yescharacteristic
241#14556583C2311yescharacteristic
242#14556581—21no—
243#14556580—21no—
244#14556579C2311yescharacteristic
245#14556579C2311yescharacteristic
246#14556577—21no—
247#14556576—21no—
248#14556576—21no—
249#14556576—21no—
250#14556576—21no—
251#14556576—21no—
252#14556576—21no—
253#14556575—21no—
254#14556575—21no—
255#14556574—21no—
256#14556573—21no—
257#14556573—21no—
258#14556572—21no—
259#14556571—21no—
260#14556570C2311yescharacteristic
261#14556570C2311yescharacteristic
262#14556569—21no—
263#14556569—21no—
264#14556569—21no—
265#14556567—21no—
266#14556566—21no—
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556565C2311yescharacteristic
270#14556565C2311yescharacteristic
271#14556564—21no—
272#14556564—21no—
273#14556564—21no—
274#14556564—21no—
275#14556563—21no—
276#14556561—21no—
277#14556561—21no—
278#14556559—21no—
279#14556559—21no—
280C4×Dic146C2311yescharacteristic
281C4×Dic146C2311yescharacteristic
282C4×D292—21no—
283C4×D292—21no—
284C4×D292C2311yescharacteristic
285C4×D292C2311yescharacteristic
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289C4×D292C2311yescharacteristic
290C4×D292C2311yescharacteristic
291C4×D292C2311yescharacteristic
292#14556553—21no—
293#14556553—21no—
294#14556553—21no—
295C4×C22⋊D73—21no—
296#14556551—21no—
297#14556551—21no—
298#14556551—21no—
299#14556550C2311yescharacteristic
300#14556549—21no—
301#14556548—21no—
302#14556547—21no—
303C2×C4⋊Dic73C2311yescharacteristic
304C2×C4⋊Dic73C2311yescharacteristic
305C4⋊C4×D73—21no—
306C4⋊C4×D73—21no—
307C2×#11924005—21no—
308C22⋊C4×D73—21no—
309C22⋊C4×D73—21no—
310C22⋊C4×D73—21no—
311C22⋊C4×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556522C2311yescharacteristic
319#14556522C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325#14556522C2311yescharacteristic
326#14556522C2311yescharacteristic
327#14556522C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334#14556515C2311yescharacteristic
335#14556515C2311yescharacteristic
336#14556515C2311yescharacteristic
337#14556515C2311yescharacteristic
338#14556515C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556514C2311yescharacteristic
347#14556514C2311yescharacteristic
348#14556514C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556512C2311yescharacteristic
351#14556512C2311yescharacteristic
352#14556512C2311yescharacteristic
353#14556512C2311yescharacteristic
354#14556511C2311yescharacteristic
355#14556511C2311yescharacteristic
356#14556511C2311yescharacteristic
357#14556511C2311yescharacteristic
358#14556511C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372#14556502C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376C4×#10596831C2311yescharacteristic
377C4×#10596831C2311yescharacteristic
378C4×#10596831C2311yescharacteristic
379C4×#10596831C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73C2311yescharacteristic
383C22×Q8×C73C2311yescharacteristic
384C22×Q8×C73C2311yescharacteristic
385C4⋊Q8×C73—21no—
386C4⋊Q8×C73—21no—
387C4⋊Q8×C73C2311yescharacteristic
388C4⋊Q8×C73C2311yescharacteristic
389#126×C73—21no—
390#126×C73—21no—
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#126×C73—21no—
396#126×C73—21no—
397#126×C73D411yescharacteristic
398#126×C73D411yescharacteristic
399#125×C73—21no—
400#125×C73—21no—
401#125×C73—21no—
402#125×C73—21no—
403#125×C73—21no—
404#125×C73—21no—
405#125×C73D411yescharacteristic
406#125×C73C2311yescharacteristic
407#125×C73C2311yescharacteristic
408#124×C73—21no—
409#124×C73—21no—
410#124×C73—21no—
411#124×C73D411yescharacteristic
412#124×C73C2311yescharacteristic
413#124×C73C2311yescharacteristic
414#123×C73—21no—
415#123×C73—21no—
416#123×C73—21no—
417#123×C73—21no—
418#123×C73D411yescharacteristic
419#123×C73D411yescharacteristic
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73—21no—
422C22⋊Q8×C73—21no—
423C22⋊Q8×C73—21no—
424C22⋊Q8×C73—21no—
425C22⋊Q8×C73—21no—
426C22⋊Q8×C73—21no—
427C22⋊Q8×C73—21no—
428C22⋊Q8×C73D411yescharacteristic
429C22⋊Q8×C73C2311yescharacteristic
430C22⋊Q8×C73C2311yescharacteristic
431C22⋊Q8×C73C2311yescharacteristic
432C22⋊Q8×C73C2311yescharacteristic
433#121×C73—21no—
434#121×C73—21no—
435#121×C73—21no—
436#121×C73D411yescharacteristic
437#121×C73C2311yescharacteristic
438#121×C73C2311yescharacteristic
439C4×Q8×C73—21no—
440C4×Q8×C73—21no—
441C4×Q8×C73—21no—
442C4×Q8×C73—21no—
443C4×Q8×C73—21no—
444C4×Q8×C73C2311yescharacteristic
445C4×Q8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73—21no—
468#117×C73—21no—
469#117×C73—21no—
470#117×C73—21no—
471#117×C73—21no—
472#117×C73C2311yescharacteristic
473#117×C73C2311yescharacteristic
474#117×C73C2311yescharacteristic
475C2×C4⋊C4×C73—21no—
476C2×C4⋊C4×C73—21no—
477C2×C4⋊C4×C73C2311yescharacteristic
478C2×C4⋊C4×C73C2311yescharacteristic
479C2×C42×C73—21no—
480C2×C42×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—82no—
486C2×Dic146—21no—
487C2×Dic146C2411yescharacteristic
488C2×D292—22no—
489C2×D292—22no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—41no—
495C2×D292—41no—
496C2×D292C2411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504D4×D73—82no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—82no—
517#11924018—22no—
518#11924018—22no—
519#11924018—41no—
520#11924016—41no—
521#11924015—22no—
522#11924015—22no—
523#11924015—22no—
524#11924015—22no—
525#11924015—22no—
526#11924015—41no—
527#11924015—41no—
528#11924015—41no—
529#11924015#4114yescomplemented
530#11924013—22no—
531#11924013—22no—
532#11924013—41no—
533#11924012—22no—
534#11924012—22no—
535C2×#10596831—22no—
536C2×#10596831—41no—
537C2×#10596831—41no—
538C2×#10596831—41no—
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562C22⋊Dic73—21no—
563C22⋊Dic73—21no—
564C22⋊Dic73—21no—
565#11924005—21no—
566#11924005—21no—
567#11924005—21no—
568#11924005—21no—
569#11924005—21no—
570#11924005—21no—
571#11924005—21no—
572#11924005—21no—
573#11924005—21no—
574#11924005—21no—
575#11924005—21no—
576#11924005—21no—
577#11924005—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—21no—
581C4×Dic73—21no—
582C4×Dic73—21no—
583C4×Dic73—21no—
584#41×C73—22no—
585#41×C73—41no—
586C2×Q8×C73—21no—
587C2×Q8×C73—21no—
588C2×Q8×C73—21no—
589C2×Q8×C73—22no—
590C2×Q8×C73—22no—
591C2×Q8×C73—41no—
592C2×Q8×C73—41no—
593C2×Q8×C73C2×D411yescharacteristic
594C2×Q8×C73C2411yescharacteristic
595C2×Q8×C73C2411yescharacteristic
596C2×Q8×C73C2411yescharacteristic
597C2×D4×C73—21no—
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73C2×D411yescharacteristic
601C2×D4×C73C2×D411yescharacteristic
602C2×D4×C73C2×D411yescharacteristic
603C2×D4×C73C2411yescharacteristic
604C22×C4×C73—21no—
605C22×C4×C73—21no—
606C22×C4×C73—21no—
607C22×C4×C73—21no—
608C22×C4×C73—21no—
609C22×C4×C73—21no—
610C22×C4×C73—21no—
611C22×C4×C73C2×D411yescharacteristic
612C22×C4×C73C2×D411yescharacteristic
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616C4⋊C4×C73—21no—
617C4⋊C4×C73—21no—
618C4⋊C4×C73—21no—
619C4⋊C4×C73—21no—
620C4⋊C4×C73—21no—
621C4⋊C4×C73—21no—
622C4⋊C4×C73—21no—
623C4⋊C4×C73—21no—
624C4⋊C4×C73—21no—
625C4⋊C4×C73—21no—
626C4⋊C4×C73—21no—
627C4⋊C4×C73—21no—
628C4⋊C4×C73—21no—
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73C2×D411yescharacteristic
638C4⋊C4×C73C2×D411yescharacteristic
639C4⋊C4×C73C2×D411yescharacteristic
640C4⋊C4×C73C2×D411yescharacteristic
641C4⋊C4×C73C2×D411yescharacteristic
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
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—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73C2×D411yescharacteristic
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73—21no—
682C42×C73—21no—
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2411yescharacteristic
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73—81no—
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—41no—
708Q8×C73—42no—
709Q8×C73—42no—
710Q8×C73—81no—
711Q8×C73C2×#4112yes—
712D4×C73—22no—
713D4×C73—22no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—41no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720C2×C4×C73—22no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—41no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—81no—
739C2×C4×C73—81no—
740C2×C4×C73—81no—
741C2×C4×C73—81no—
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2511yescharacteristic
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—42no—
765C2×Dic73—81no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292C2×#4112yes—
776C4×D73—42no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782C4×D73—81no—
783C4×D73—81no—
784C4×D73—81no—
785Dic146—21no—
786Dic146—21no—
787Dic146—81no—
788#10596831—21no—
789#10596831—21no—
790#10596831—21no—
791#10596831—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73#57712yes—
808C22×C73C23×D411yescharacteristic
809C2×D73—22no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—22no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73—41no—
838C4×C73C22×#4111yescharacteristic
839C4×C73#58511yescharacteristic
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61490—731nomaximal, Sylow
846C2×C73—22no—
847C2×C73—41no—
848C2×C73—41no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73C2×#57711yescharacteristic
852C2×C73#358411yescharacteristic
853D73—42no—
854D73—81no—
855D73—81no—
856#3516D7311yescharacteristic, complemented
857#3513—731no—
858#3401—731no—
859#3388—731no—
860#3365—731no—
861#3360—731no—
862#3351—731no—
863#3345—731no—
864#3344—731no—
865#3301—731no—
866#3300—731no—
867#3298—731no—
868#3297—731no—
869#3296—731no—
870#3295—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3178—731no—
876#3168—731no—
877#3126—731no—
878#3125—731no—
879#3125—731no—
880#3123—731no—
881#3117—731no—
882#3114—731no—
883#2966—731no—
884#2947—731no—
885#2946—731no—
886C2×C4×SD16—731no—
887C73#6149011yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892#557C2×D7311yescharacteristic, complemented
893#556—21no—
894#556C2×D7311yescharacteristic, complemented
895#554—21no—
896#554—731no—
897#554C2×D7311yescharacteristic
898#553—21no—
899#553—731no—
900#553—1461no—
901#553C2×D7311yescharacteristic, complemented
902#552—21no—
903#552—731no—
904#552C2×D7311yescharacteristic, complemented
905#551—1461no—
906#551—1461no—
907D4×Q8C2×D7311yescharacteristic, complemented
908#548C2×D7311yescharacteristic
909#548C2×D7311yescharacteristic, complemented
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—21no—
916#542—731no—
917#542C2×D7311yescharacteristic, complemented
918#541—21no—
919#541C2×D7311yescharacteristic, complemented
920#540—731no—
921#539—1461no—
922#538—1461no—
923#529—21no—
924#529—21no—
925#529—731no—
926#529C2×D7311yescharacteristic
927#529C2×D7311yescharacteristic, complemented
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#520C2×D7311yescharacteristic, complemented
932#519C2×D7311yescharacteristic, complemented
933#518—731no—
934C2×C4×Q8C2×D7311yescharacteristic, complemented
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#499—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#488—731no—
943#488—731no—
944#488—731no—
945#488—731no—
946#487—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#484—731no—
951#483—731no—
952#483—731no—
953#483—731no—
954#482—731no—
955#482—731no—
956#481—731no—
957#481—731no—
958#481—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#476—731no—
969#476—731no—
970#475—731no—
971#475—731no—
972#470—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#467—731no—
978#466—731no—
979#466—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#460—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022C4×Q16—731no—
1023C4×Q16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049C2×#106—731no—
1050#416—731no—
1051#416—731no—
1052C2×#103—731no—
1053C2×#103—731no—
1054C2×#102—731no—
1055C2×#102—731no—
1056#405—731no—
1057#405—731no—
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—1461no—
1061C2×#41C22×D7311yescharacteristic
1062C22×Q8C22×D7311yescharacteristic
1063C22×Q8C22×D7311yescharacteristic
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—1464no—
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8—731no—
1096C4⋊Q8C22×D7311yescharacteristic
1097C4⋊Q8C22×D7311yescharacteristic
1098#127—731no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126C22⋊D7311yescharacteristic
1112#126C22⋊D7311yescharacteristic
1113#125—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125—21no—
1119#125—731no—
1120#125—731no—
1121#125—1461no—
1122#125C22⋊D7311yescharacteristic
1123#125C22×D7311yescharacteristic
1124#125C22×D7311yescharacteristic
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—731no—
1129#124—731no—
1130#124—1461no—
1131#124—1461no—
1132#124C22⋊D7311yescharacteristic
1133#124C22×D7311yescharacteristic
1134#124C22×D7311yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123C22⋊D7311yescharacteristic
1152#123C22⋊D7311yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8C22⋊D7311yescharacteristic
1169C22⋊Q8C22×D7311yescharacteristic
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121C22⋊D7311yescharacteristic
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8C22×D7311yescharacteristic
1201C4×Q8C22×D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4C22×D7311yescharacteristic
1235C4×D4C22×D7311yescharacteristic
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—731no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117C22×D7311yescharacteristic
1250#117C22×D7311yescharacteristic
1251#117C22×D7311yescharacteristic
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—731no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4C22×D7311yescharacteristic
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—21no—
1266C2×C42C22×D7311yescharacteristic
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106—731no—
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C24—1461no—
1338C24—1461no—
1339#41—22no—
1340#41—41no—
1341#41—2921no—
1342#41—5842no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—41no—
1351C2×Q8—731no—
1352C2×Q8—1461no—
1353C2×Q8C2×C22⋊D7311yescharacteristic
1354C2×Q8C23×D7311yescharacteristic
1355C2×Q8C23×D7311yescharacteristic
1356C2×Q8C23×D7311yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—2921no—
1361C2×D4—2921no—
1362C2×D4—5842no—
1363C2×D4—731no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—1462no—
1367C2×D4—1462no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4C2×C22⋊D7311yescharacteristic
1378C2×D4C2×C22⋊D7311yescharacteristic
1379C2×D4C2×C22⋊D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—5842no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4C2×C22⋊D7311yescharacteristic
1401C22×C4C2×C22⋊D7311yescharacteristic
1402C22×C4C23×D7311yescharacteristic
1403C22×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—2921no—
1409SD16—2921no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—734no—
1413SD16—1462no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—1462no—
1422M16—1462no—
1423C2×C8—2921no—
1424C2×C8—2921no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—731no—
1431C2×C8—731no—
1432C2×C8—731no—
1433C2×C8—731no—
1434C2×C8—1462no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4C2×C22⋊D7311yescharacteristic
1472C4⋊C4C2×C22⋊D7311yescharacteristic
1473C4⋊C4C2×C22⋊D7311yescharacteristic
1474C4⋊C4C2×C22⋊D7311yescharacteristic
1475C4⋊C4C2×C22⋊D7311yescharacteristic
1476C4⋊C4C2×C22⋊D7311yescharacteristic
1477C4⋊C4C2×C22⋊D7311yescharacteristic
1478C4⋊C4C2×C22⋊D7311yescharacteristic
1479C4⋊C4C2×C22⋊D7311yescharacteristic
1480C4⋊C4C2×C22⋊D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4C2×C22⋊D7311yescharacteristic
1518C22⋊C4C2×C22⋊D7311yescharacteristic
1519C22⋊C4C2×C22⋊D7311yescharacteristic
1520C22⋊C4C2×C22⋊D7311yescharacteristic
1521C22⋊C4C2×C22⋊D7311yescharacteristic
1522C22⋊C4C2×C22⋊D7311yescharacteristic
1523C22⋊C4C2×C22⋊D7311yescharacteristic
1524C22⋊C4C2×C22⋊D7311yescharacteristic
1525C22⋊C4C2×C22⋊D7311yescharacteristic
1526C22⋊C4C2×C22⋊D7311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42C2×C22⋊D7311yescharacteristic
1540C42C2×C22⋊D7311yescharacteristic
1541C42C23×D7311yescharacteristic
1542C42C23×D7311yescharacteristic
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—2922no—
1547C23—2922no—
1548C23—2922no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—1461no—
1553C23—1461no—
1554C23—1461no—
1555C23C22×C22⋊D7311yescharacteristic
1556C23C22×C22⋊D7311yescharacteristic
1557C23C22×C22⋊D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—42no—
1565Q8—42no—
1566Q8—81no—
1567Q8—5841no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8#41×D7312yes—
1571D4—22no—
1572D4—22no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—5841no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—732no—
1589D4—1461no—
1590D4—1461no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—41no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—1461no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4C22×C22⋊D7311yescharacteristic
1633C2×C4C22×C22⋊D7311yescharacteristic
1634C2×C4C22×C22⋊D7311yescharacteristic
1635C2×C4C22×C22⋊D7311yescharacteristic
1636C2×C4C22×C22⋊D7311yescharacteristic
1637C2×C4C22×C22⋊D7311yescharacteristic
1638C2×C4C22×C22⋊D7311yescharacteristic
1639C2×C4C22×C22⋊D7311yescharacteristic
1640C2×C4C22×C22⋊D7311yescharacteristic
1641C2×C4C22×C22⋊D7311yescharacteristic
1642C2×C4C22×C22⋊D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—732no—
1645C8—1461no—
1646C8—1461no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—5844no—
1672C22—11682no—
1673C22—1462no—
1674C22#1798939512yes—
1675C22C23×C22⋊D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—2921no—
1698C4—2921no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—2922no—
1706C2—5841no—
1707C2—5841no—
1708C2#41×C22⋊D7311yescharacteristic
1709C2C2×#1798939511yescharacteristic
1710C2#2262470211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3516C2
socleC22×C73C23×D4
hypercenter#3516D73
hypocenterC73#61490
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #22623875C2semidirect
2. #22622997C2semidirect
3. #22622870C2semidirect
4. #22622627C2semidirect
5. #22622576C2semidirect
6. #22622491C2semidirect
7. #22622395C2semidirect
8. #22622380C2semidirect
9. #22621833C2semidirect
10. #22621818C2semidirect
11. #22621796C2semidirect
12. #22621775C2semidirect
13. #22621760C2semidirect
14. #22621749C2semidirect
15. #22621563C2semidirect
16. #22621442C2semidirect
17. #22621427C2semidirect
18. #22620608C2semidirect
19. #22620601C2semidirect
20. #22620495C2semidirect
21. #22620222C2semidirect
22. #22620208C2semidirect
23. #22620202C2semidirect
24. #22620178C2semidirect
25. #22620102C2semidirect
26. #22620065C2semidirect
27. #22618907C2semidirect
28. #22618774C2semidirect
29. #22618759C2semidirect
30. C2×C4×#11924015C2semidirect
31. C73×#3516C2semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
60. #17988979C22semidirect
62. #17988969C22semidirect
63. #17988944C22semidirect
64. #17988944C22semidirect
65. #17988941C22semidirect
66. #17988941C22semidirect
67. #17988937C22semidirect
69. #17988925C22semidirect
70. #17988925C22semidirect
71. #17988922C22semidirect
72. #17988917C22semidirect
73. #17988915C22semidirect
74. #17988915C22semidirect
75. #17988911C22semidirect
76. #17988911C22semidirect
79. #17988903C22semidirect
80. #17988898C22semidirect
81. #17988894C22semidirect
82. #17988894C22semidirect
83. #17988894C22semidirect
84. #17988894C22semidirect
87. #17988884C22semidirect
88. #17988884C22semidirect
89. #17988877C22semidirect
91. #17988872C22semidirect
92. #17988869C22semidirect
93. #17988843C22semidirect
94. #17988838C22semidirect
96. #17988835C22semidirect
97. #17988826C22semidirect
98. #17988826C22semidirect
100. #17988821C22semidirect
103. #17988818C22semidirect
104. #17988814C22semidirect
105. #17988809C22semidirect
106. #17988809C22semidirect
107. #17988809C22semidirect
108. #17988806C22semidirect
109. #17988802C22semidirect
112. #17988799C22semidirect
114. #17988789C22semidirect
117. #17988749C22semidirect
119. #17988743C22semidirect
126. #17988726C22semidirect
127. #17988726C22semidirect
129. #17988718C22semidirect
130. Q8×#10596831C22semidirect
132. #17988697C22semidirect
133. #17988697C22semidirect
134. #17988692C22semidirect
135. #17988692C22semidirect
136. #17988692C22semidirect
140. #17988685C22semidirect
141. #17988685C22semidirect
142. #17988685C22semidirect
143. C4×#11924018C22semidirect
144. C4×#11924018C22semidirect
150. C4×#11924015C22semidirect
151. C4×#11924015C22semidirect
152. C4×#11924015C22semidirect
153. C4×#11924015C22semidirect
154. C4×#11924015C22semidirect
155. C4×#11924015C22semidirect
156. C4×#11924016C22semidirect
158. C4×#11924013C22semidirect
159. #17988665C22semidirect
161. #17988659C22semidirect
163. D4×#10596831C22semidirect
164. D4×#10596831C22semidirect
165. #17988648C22semidirect
166. #17988648C22semidirect
167. #17988644C22semidirect
168. #17988630C22semidirect
169. #17988627C22semidirect
170. C2×#14556522C22semidirect
171. #17988583C22semidirect
173. C2×#14556515C22semidirect
174. C2×#14556515C22semidirect
177. #17988543C22semidirect
178. #17988543C22semidirect
179. C2×C4×#10596831C22semidirect
180. #557×C73C22semidirect
182. #556×C73C22semidirect
186. #553×C73C22semidirect
188. #552×C73C22semidirect
189. D4×Q8×C73C22semidirect
191. #548×C73C22semidirect
193. #542×C73C22semidirect
195. #541×C73C22semidirect
199. #529×C73C22semidirect
200. #520×C73C22semidirect
201. #519×C73C22semidirect
202. C2×C4×Q8×C73C22semidirect
529. #11924015#41semidirect
856. #3516D73semidirect
887. C73#61490semidirect
892. #557C2×D73semidirect
894. #556C2×D73semidirect
901. #553C2×D73semidirect
904. #552C2×D73semidirect
907. D4×Q8C2×D73semidirect
909. #548C2×D73semidirect
917. #542C2×D73semidirect
919. #541C2×D73semidirect
927. #529C2×D73semidirect
931. #520C2×D73semidirect
932. #519C2×D73semidirect
934. C2×C4×Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238752
#226229972
#226228702
#226226272
#226225762
#226224912
#226223952
#226223802
#226218332
#226218182
#226217962
#226217752
#226217602
#226217492
#226215632
#226214422
#226214272
#226206082
#226206012
#226204952
#226202222
#226202082
#226202022
#226201782
#226201022
#226200652
#226189072
#226187742
#226187592
C2×C4×#119240152
C73×#35162
#6149073