Finite Group Databasebeta

← #33969121

Subgroups — #33969121

Order 18688.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623875C211yesmaximal, characteristic, complemented
2#22623015C211yesmaximal, characteristic, complemented
3#22622826C211yesmaximal, characteristic, complemented
4#22622723C211yesmaximal, characteristic, complemented
5#22622678C211yesmaximal, characteristic, complemented
6#22622520C211yesmaximal, characteristic, complemented
7#22622476C211yesmaximal, characteristic, complemented
8#22622446C211yesmaximal, characteristic, complemented
9#22622167C211yesmaximal, characteristic, complemented
10#22622147C211yesmaximal, characteristic, complemented
11#22622081C211yesmaximal, characteristic, complemented
12#22622072C211yesmaximal, characteristic, complemented
13#22621961C211yesmaximal, characteristic, complemented
14#22621892C211yesmaximal, characteristic, complemented
15#22621538C211yesmaximal, characteristic, complemented
16#22621412C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22620608C211yesmaximal, characteristic, complemented
19#22620542C211yesmaximal, characteristic, complemented
20#22620520C211yesmaximal, characteristic, complemented
21#22620202C211yesmaximal, characteristic, complemented
22#22620174C211yesmaximal, characteristic, complemented
23#22620115C211yesmaximal, characteristic, complemented
24#22620109C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22620018C211yesmaximal, characteristic, complemented
27#22618918C211yesmaximal, characteristic, complemented
28#22618781C211yesmaximal, characteristic, complemented
29#22618763C211yesmaximal, characteristic, complemented
30C4×#14556616C211yesmaximal, characteristic, complemented
31C73×#3514C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989297C2211yescharacteristic, complemented
37#17989288—21no—
38#17989283C2211yescharacteristic
39#17989277C2211yescharacteristic, complemented
40#17989264—21no—
41#17989262—21no—
42#17989241C2211yescharacteristic, complemented
43#17989233C2211yescharacteristic
44#17989233C2211yescharacteristic, complemented
45#17989226—21no—
46D4×D292C2211yescharacteristic, complemented
47#17989208C2211yescharacteristic, complemented
48#17989192C2211yescharacteristic, complemented
49#17989185—21no—
50#17989171—21no—
51#17989121C2211yescharacteristic, complemented
52#17989095—21no—
53#123×D73—21no—
54#17989067C2211yescharacteristic, complemented
55#17989061C2211yescharacteristic, complemented
56C2×C4×D292C2211yescharacteristic, complemented
57#17988993C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988983C2211yescharacteristic, complemented
60#17988977C2211yescharacteristic, complemented
61#17988974C2211yescharacteristic, complemented
62#17988969C2211yescharacteristic, complemented
63#17988951C2211yescharacteristic, complemented
64#17988949C2211yescharacteristic, complemented
65#17988949C2211yescharacteristic, complemented
66#17988946C2211yescharacteristic, complemented
67#17988941C2211yescharacteristic, complemented
68#17988935C2211yescharacteristic, complemented
69#17988928C2211yescharacteristic, complemented
70#17988928C2211yescharacteristic, complemented
71#17988925C2211yescharacteristic, complemented
72#17988915C2211yescharacteristic, complemented
73#17988911C2211yescharacteristic, complemented
74#17988911C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988911C2211yescharacteristic, complemented
77#17988908C2211yescharacteristic, complemented
78#17988903C2211yescharacteristic, complemented
79#17988903C2211yescharacteristic, complemented
80#17988903C2211yescharacteristic, complemented
81#17988894C2211yescharacteristic, complemented
82#17988887C2211yescharacteristic, complemented
83#17988887C2211yescharacteristic, complemented
84#17988887C2211yescharacteristic, complemented
85#17988877C2211yescharacteristic, complemented
86#17988874C2211yescharacteristic, complemented
87#17988874C2211yescharacteristic, complemented
88#17988874C2211yescharacteristic, complemented
89#17988874C2211yescharacteristic, complemented
90#17988869C2211yescharacteristic, complemented
91#17988867C2211yescharacteristic, complemented
92#17988864C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic
95#17988838C2211yescharacteristic, complemented
96#17988838C2211yescharacteristic, complemented
97#17988838C2211yescharacteristic, complemented
98#17988835C2211yescharacteristic, complemented
99#17988831C2211yescharacteristic, complemented
100#17988831C2211yescharacteristic, complemented
101#17988821C2211yescharacteristic, complemented
102#17988818C2211yescharacteristic, complemented
103#17988818C2211yescharacteristic, complemented
104#17988814C2211yescharacteristic, complemented
105#17988809C2211yescharacteristic, complemented
106#17988806C2211yescharacteristic, complemented
107#17988802C2211yescharacteristic, complemented
108#17988802C2211yescharacteristic, complemented
109#17988802C2211yescharacteristic, complemented
110#17988799C2211yescharacteristic, complemented
111#17988799C2211yescharacteristic, complemented
112#17988799C2211yescharacteristic, complemented
113#17988782C2211yescharacteristic
114#17988782C2211yescharacteristic, complemented
115#17988779C2211yescharacteristic
116#17988779C2211yescharacteristic, complemented
117#17988749C2211yescharacteristic, complemented
118#17988747C2211yescharacteristic, complemented
119#17988738C2211yescharacteristic, complemented
120#17988737C2211yescharacteristic, complemented
121#17988732C2211yescharacteristic
122#17988730C2211yescharacteristic
123#17988721C2211yescharacteristic
124#17988721C2211yescharacteristic, complemented
125#17988721C2211yescharacteristic, complemented
126#17988720C2211yescharacteristic
127#17988720C2211yescharacteristic, complemented
128#17988720C2211yescharacteristic, complemented
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic, complemented
134#17988697C2211yescharacteristic, complemented
135#17988697C2211yescharacteristic, complemented
136#17988697C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988697C2211yescharacteristic, complemented
139#17988697C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988692C2211yescharacteristic, complemented
142#17988687C2211yescharacteristic, complemented
143#17988687C2211yescharacteristic, complemented
144#17988685C2211yescharacteristic, complemented
145#17988685C2211yescharacteristic, complemented
146#17988685C2211yescharacteristic, complemented
147C4×#11924015C2211yescharacteristic, complemented
148C4×#11924015C2211yescharacteristic, complemented
149C4×#11924016C2211yescharacteristic, complemented
150C4×#11924016C2211yescharacteristic, complemented
151C4×#11924016C2211yescharacteristic, complemented
152C4×#11924013C2211yescharacteristic
153C4×#11924013C2211yescharacteristic
154C4×#11924013C2211yescharacteristic, complemented
155C4×#11924013C2211yescharacteristic, complemented
156C4×#11924013C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158C4×#11924013C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988665C2211yescharacteristic, complemented
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163#17988659C2211yescharacteristic, complemented
164#17988659C2211yescharacteristic, complemented
165#17988648C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988630C2211yescharacteristic, complemented
169#17988630C2211yescharacteristic, complemented
170#17988623C2211yescharacteristic, complemented
171#17988592C2211yescharacteristic, complemented
172#17988591C2211yescharacteristic, complemented
173#17988591C2211yescharacteristic, complemented
174#17988588C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176C2×#14556512C2211yescharacteristic, complemented
177#17988543C2211yescharacteristic, complemented
178#17988543C2211yescharacteristic, complemented
179C4×#11924012C2211yescharacteristic, complemented
180#559×C73C2211yescharacteristic, complemented
181#556×C73C2211yescharacteristic, complemented
182#555×C73C2211yescharacteristic
183#555×C73C2211yescharacteristic, complemented
184#551×C73—21no—
185#551×C73—21no—
186D4×Q8×C73C2211yescharacteristic, complemented
187#548×C73—21no—
188#546×C73—21no—
189#546×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#542×C73C2211yescharacteristic, complemented
193#542×C73C2211yescharacteristic, complemented
194#538×C73—21no—
195#538×C73—21no—
196#532×C73C2211yescharacteristic, complemented
197#529×C73—21no—
198#529×C73C2211yescharacteristic
199C2×#124×C73—21no—
200#518×C73C2211yescharacteristic, complemented
201#518×C73C2211yescharacteristic, complemented
202C4×#41×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C22×C4×D73—21no—
209#14556617—24no—
210#14556616—24no—
211C2×#11924018C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924015C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924013—24no—
219C2×#11924013C2311yescharacteristic
220C2×#11924013C2311yescharacteristic
221C2×#11924013C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924012C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924012C2311yescharacteristic
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#14556514C2311yescharacteristic
339#14556514C2311yescharacteristic
340#14556514C2311yescharacteristic
341#14556514C2311yescharacteristic
342#14556512C2311yescharacteristic
343#14556512C2311yescharacteristic
344#14556512C2311yescharacteristic
345#14556512C2311yescharacteristic
346#14556512C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
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
376#14556502C2311yescharacteristic
377#14556502C2311yescharacteristic
378C4×#10596831C2311yescharacteristic
379C4×#10596831C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73—21no—
383C2×#41×C73C2311yescharacteristic
384C22×Q8×C73—21no—
385C22×D4×C73—21no—
386C22×D4×C73C2311yescharacteristic
387C22×D4×C73C2311yescharacteristic
388C4⋊Q8×C73C2311yescharacteristic
389C4⋊Q8×C73C2311yescharacteristic
390C4⋊Q8×C73C2311yescharacteristic
391#127×C73C2311yescharacteristic
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#126×C73—21no—
396#126×C73D411yescharacteristic
397#126×C73D411yescharacteristic
398#125×C73D411yescharacteristic
399#124×C73—21no—
400#124×C73—21no—
401#124×C73—21no—
402#124×C73—21no—
403#124×C73—21no—
404#124×C73—21no—
405#124×C73—21no—
406#124×C73—21no—
407#124×C73—21no—
408#124×C73D411yescharacteristic
409#124×C73C2311yescharacteristic
410#124×C73C2311yescharacteristic
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414#123×C73—21no—
415#123×C73—21no—
416#123×C73—21no—
417#123×C73D411yescharacteristic
418#123×C73D411yescharacteristic
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73—21no—
422C22⋊Q8×C73—21no—
423C22⋊Q8×C73—21no—
424C22⋊Q8×C73D411yescharacteristic
425C22⋊Q8×C73C2311yescharacteristic
426C22⋊Q8×C73C2311yescharacteristic
427#121×C73—21no—
428#121×C73—21no—
429#121×C73—21no—
430#121×C73—21no—
431#121×C73—21no—
432#121×C73—21no—
433#121×C73D411yescharacteristic
434#121×C73C2311yescharacteristic
435#121×C73C2311yescharacteristic
436#121×C73C2311yescharacteristic
437#121×C73C2311yescharacteristic
438#120×C73—21no—
439#120×C73—21no—
440#120×C73—21no—
441#120×C73—21no—
442C4×Q8×C73—21no—
443C4×Q8×C73C2311yescharacteristic
444C4×Q8×C73C2311yescharacteristic
445C4×Q8×C73C2311yescharacteristic
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73—21no—
466#117×C73—21no—
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470#117×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C22⋊C4×C73—21no—
476C2×C22⋊C4×C73—21no—
477C2×C22⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
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—41no—
518#11924016—22no—
519#11924016—22no—
520#11924016—41no—
521#11924015—22no—
522#11924015—22no—
523#11924015—41no—
524#11924013—22no—
525#11924013—22no—
526#11924013—22no—
527#11924013—22no—
528#11924013—22no—
529#11924013—41no—
530#11924013—41no—
531#11924013—41no—
532#11924013#4114yescomplemented
533#11924012—22no—
534#11924012—22no—
535#11924012—41no—
536#11924012—41no—
537C2×#10596831—22no—
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—
584C24×C73—21no—
585C24×C73—21no—
586#41×C73—22no—
587#41×C73—41no—
588#41×C73—82no—
589C2×Q8×C73—21no—
590C2×Q8×C73—21no—
591C2×Q8×C73—21no—
592C2×Q8×C73—82no—
593C2×Q8×C73C2×D411yescharacteristic
594C2×Q8×C73C2411yescharacteristic
595C2×D4×C73—22no—
596C2×D4×C73—22no—
597C2×D4×C73—21no—
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73—21no—
601C2×D4×C73—21no—
602C2×D4×C73—21no—
603C2×D4×C73—21no—
604C2×D4×C73—21no—
605C2×D4×C73—21no—
606C2×D4×C73—41no—
607C2×D4×C73—41no—
608C2×D4×C73—82no—
609C2×D4×C73C2×D411yescharacteristic
610C2×D4×C73C2×D411yescharacteristic
611C2×D4×C73C2×D411yescharacteristic
612C2×D4×C73C2411yescharacteristic
613C2×D4×C73C2411yescharacteristic
614C2×D4×C73C2411yescharacteristic
615C22×C4×C73—21no—
616C22×C4×C73—21no—
617C22×C4×C73—21no—
618C22×C4×C73—21no—
619C22×C4×C73—21no—
620C22×C4×C73—21no—
621C22×C4×C73—21no—
622C22×C4×C73—21no—
623C22×C4×C73—21no—
624C22×C4×C73C2×D411yescharacteristic
625C22×C4×C73C2×D411yescharacteristic
626C22×C4×C73C2411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C22×C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
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×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C22⋊C4×C73—21no—
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×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C22⋊C4×C73C2×D411yescharacteristic
675C22⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C22⋊C4×C73C2×D411yescharacteristic
679C22⋊C4×C73C2×D411yescharacteristic
680C22⋊C4×C73C2×D411yescharacteristic
681C42×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73—81no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C23×C73C22×D411yescharacteristic
703C23×C73C22×D411yescharacteristic
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—21no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—42no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—41no—
716Q8×C73—42no—
717Q8×C73—81no—
718Q8×C73—81no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—41no—
725D4×C73—41no—
726D4×C73—41no—
727D4×C73—42no—
728D4×C73—42no—
729D4×C73—42no—
730D4×C73—42no—
731D4×C73—81no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73C2×#4112yes—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—41no—
749C2×C4×C73—41no—
750C2×C4×C73—42no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C2511yescharacteristic
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—42no—
782C2×Dic73—81no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—42no—
789D292—42no—
790D292—81no—
791D292—81no—
792D292C2×#4112yes—
793C4×D73—42no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—21no—
803Dic146—21no—
804Dic146—81no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808#10596831—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—22no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—162no—
832C22×C73—162no—
833C22×C73C23×D411yescharacteristic
834C2×D73—22no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—84no—
844C2×D73—162no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C22×#4111yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#61505—731nomaximal, Sylow
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—41no—
872C2×C73—42no—
873C2×C73—81no—
874C2×C73—81no—
875C2×C73D4×#4111yescharacteristic
876C2×C73#358511yescharacteristic
877C2×C73#358511yescharacteristic
878D73—42no—
879D73—81no—
880D73—81no—
881#3514D7311yescharacteristic, complemented
882#3513—731no—
883#3403—731no—
884#3384—731no—
885#3373—731no—
886#3370—731no—
887#3354—731no—
888#3350—731no—
889#3348—731no—
890#3325—731no—
891#3323—731no—
892#3319—731no—
893#3318—731no—
894#3311—731no—
895#3306—731no—
896#3273—731no—
897#3264—731no—
898#3264—731no—
899#3179—731no—
900#3173—731no—
901#3171—731no—
902#3125—731no—
903#3122—731no—
904#3118—731no—
905#3118—731no—
906#3111—731no—
907#3109—731no—
908#2967—731no—
909#2948—731no—
910#2946—731no—
911C4×AGL(1,ℤ/8)—731no—
912C73#6150511yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—731no—
914C2×AGL(1,ℤ/8)—731no—
915C22×D8—731no—
916#559—731no—
917#559C2×D7311yescharacteristic, complemented
918#556C2×D7311yescharacteristic, complemented
919#555C2×D7311yescharacteristic
920#555C2×D7311yescharacteristic, complemented
921#554—731no—
922#553—731no—
923#553—1461no—
924#552—731no—
925#551—21no—
926#551—21no—
927#551—1461no—
928#551—1461no—
929D4×Q8C2×D7311yescharacteristic, complemented
930#548—21no—
931#547—731no—
932#546—21no—
933#546—731no—
934#546—731no—
935#546—1461no—
936#546C2×D7311yescharacteristic
937#546C2×D7311yescharacteristic, complemented
938D42—731no—
939D42C2×D7311yescharacteristic, complemented
940#542—731no—
941#542C2×D7311yescharacteristic, complemented
942#542C2×D7311yescharacteristic, complemented
943#540—731no—
944#539—1461no—
945#538—21no—
946#538—21no—
947#538—1461no—
948#532C2×D7311yescharacteristic, complemented
949#529—21no—
950#529—731no—
951#529C2×D7311yescharacteristic
952C2×#124—21no—
953#525—1461no—
954C2×#123—1461no—
955#520—731no—
956#518—731no—
957#518C2×D7311yescharacteristic, complemented
958#518C2×D7311yescharacteristic, complemented
959C4×#41C2×D7311yescharacteristic, complemented
960C2×C4×D4—731no—
961#501—731no—
962#501—731no—
963#498—731no—
964#496—731no—
965#496—731no—
966#495—731no—
967#490—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485—731no—
976#483—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#482—731no—
982#481—731no—
983#481—731no—
984#481—731no—
985#479—731no—
986#478—731no—
987#478—731no—
988#478—731no—
989#476—731no—
990#476—731no—
991#476—731no—
992#476—731no—
993#476—731no—
994#475—731no—
995#474—731no—
996#474—731no—
997#470—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#469—731no—
1002#468—731no—
1003#468—731no—
1004#468—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#459—731no—
1021#452—731no—
1022#452—731no—
1023#450—731no—
1024#450—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#447—731no—
1033#446—731no—
1034#446—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#441—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050#440—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#433—731no—
1070#433—731no—
1071#432—731no—
1072#428—731no—
1073#428—731no—
1074#427—731no—
1075#418—731no—
1076#418—731no—
1077#418—731no—
1078#417—731no—
1079#416—731no—
1080C2×#102—731no—
1081#405—731no—
1082#405—731no—
1083C4×M16—731no—
1084C2×#41—21no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41C22×D7311yescharacteristic
1088C22×Q8—21no—
1089C22×D4—21no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094C22×D4C22×D7311yescharacteristic
1095C23×C4—1461no—
1096AGL(1,ℤ/8)—1464no—
1097AGL(1,ℤ/8)—1464no—
1098C2×Q16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×D8—1464no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8C22×D7311yescharacteristic
1123C4⋊Q8C22×D7311yescharacteristic
1124C4⋊Q8C22×D7311yescharacteristic
1125#127—731no—
1126#127C22×D7311yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126C22⋊D7311yescharacteristic
1136#126C22⋊D7311yescharacteristic
1137#125—731no—
1138#125—731no—
1139#125—1461no—
1140#125C22⋊D7311yescharacteristic
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124—21no—
1149#124—21no—
1150#124—731no—
1151#124—731no—
1152#124—1461no—
1153#124—1461no—
1154#124C22⋊D7311yescharacteristic
1155#124C22×D7311yescharacteristic
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123C22⋊D7311yescharacteristic
1176#123C22⋊D7311yescharacteristic
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—731no—
1183C22⋊Q8—731no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8C22⋊D7311yescharacteristic
1190C22⋊Q8C22×D7311yescharacteristic
1191C22⋊Q8C22×D7311yescharacteristic
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121C22⋊D7311yescharacteristic
1209#121C22×D7311yescharacteristic
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220#120—1461no—
1221C4×Q8—21no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8C22×D7311yescharacteristic
1225C4×Q8C22×D7311yescharacteristic
1226C4×Q8C22×D7311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4C22×D7311yescharacteristic
1253C4×D4C22×D7311yescharacteristic
1254C4×D4C22×D7311yescharacteristic
1255C4×D4C22×D7311yescharacteristic
1256C4×D4C22×D7311yescharacteristic
1257C4×D4C22×D7311yescharacteristic
1258C4×D4C22×D7311yescharacteristic
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—731no—
1267#117—1461no—
1268#117—1461no—
1269#117—1461no—
1270#117C22×D7311yescharacteristic
1271#117C22×D7311yescharacteristic
1272#117C22×D7311yescharacteristic
1273#117C22×D7311yescharacteristic
1274#117C22×D7311yescharacteristic
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—1461no—
1278C2×C4⋊C4—1461no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—21no—
1291C2×C42C22×D7311yescharacteristic
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357#97—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—21no—
1363C24—21no—
1364C24—1461no—
1365C24—1461no—
1366#41—22no—
1367#41—41no—
1368#41—82no—
1369#41—2921no—
1370#41—5842no—
1371#41—1462no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—82no—
1376C2×Q8—731no—
1377C2×Q8—1461no—
1378C2×Q8C2×C22⋊D7311yescharacteristic
1379C2×Q8C23×D7311yescharacteristic
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—82no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—5842no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4C2×C22⋊D7311yescharacteristic
1412C2×D4C2×C22⋊D7311yescharacteristic
1413C2×D4C2×C22⋊D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—5842no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4C2×C22⋊D7311yescharacteristic
1439C22×C4C2×C22⋊D7311yescharacteristic
1440C22×C4C23×D7311yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443Q16—2921no—
1444SD16—2921no—
1445SD16—2921no—
1446SD16—1462no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450D8—2921no—
1451D8—2921no—
1452D8—2921no—
1453D8—734no—
1454D8—1462no—
1455D8—1462no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459M16—2921no—
1460M16—2921no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—2921no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—1462no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4C2×C22⋊D7311yescharacteristic
1496C4⋊C4C2×C22⋊D7311yescharacteristic
1497C4⋊C4C2×C22⋊D7311yescharacteristic
1498C4⋊C4C2×C22⋊D7311yescharacteristic
1499C4⋊C4C2×C22⋊D7311yescharacteristic
1500C4⋊C4C2×C22⋊D7311yescharacteristic
1501C4⋊C4C2×C22⋊D7311yescharacteristic
1502C4⋊C4C2×C22⋊D7311yescharacteristic
1503C4⋊C4C2×C22⋊D7311yescharacteristic
1504C4⋊C4C2×C22⋊D7311yescharacteristic
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4C2×C22⋊D7311yescharacteristic
1550C22⋊C4C2×C22⋊D7311yescharacteristic
1551C22⋊C4C2×C22⋊D7311yescharacteristic
1552C22⋊C4C2×C22⋊D7311yescharacteristic
1553C22⋊C4C2×C22⋊D7311yescharacteristic
1554C22⋊C4C2×C22⋊D7311yescharacteristic
1555C22⋊C4C2×C22⋊D7311yescharacteristic
1556C22⋊C4C2×C22⋊D7311yescharacteristic
1557C22⋊C4C2×C22⋊D7311yescharacteristic
1558C22⋊C4C2×C22⋊D7311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42C2×C22⋊D7311yescharacteristic
1568C42C2×C22⋊D7311yescharacteristic
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C42C23×D7311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—81no—
1582C23—2922no—
1583C23—2922no—
1584C23—2922no—
1585C23—5841no—
1586C23—5841no—
1587C23—5841no—
1588C23—1461no—
1589C23—1461no—
1590C23—1461no—
1591C23C22×C22⋊D7311yescharacteristic
1592C23C22×C22⋊D7311yescharacteristic
1593C23C22×C22⋊D7311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—41no—
1597Q8—42no—
1598Q8—81no—
1599Q8—81no—
1600Q8—5841no—
1601Q8—1461no—
1602Q8—1461no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—41no—
1610D4—41no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—42no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—732no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—5841no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4C22×C22⋊D7311yescharacteristic
1675C2×C4C22×C22⋊D7311yescharacteristic
1676C2×C4C22×C22⋊D7311yescharacteristic
1677C2×C4C22×C22⋊D7311yescharacteristic
1678C2×C4C22×C22⋊D7311yescharacteristic
1679C2×C4C22×C22⋊D7311yescharacteristic
1680C2×C4C22×C22⋊D7311yescharacteristic
1681C2×C4C22×C22⋊D7311yescharacteristic
1682C2×C4C22×C22⋊D7311yescharacteristic
1683C2×C4C22×C22⋊D7311yescharacteristic
1684C2×C4C22×C22⋊D7311yescharacteristic
1685C2×C4C24×D7311yescharacteristic
1686C8—732no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C8—1461no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—162no—
1713C22—162no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—5844no—
1723C22—11682no—
1724C22—1462no—
1725C22C23×C22⋊D7311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—2921no—
1743C4—2921no—
1744C4—2921no—
1745C4—2921no—
1746C4—2921no—
1747C4C2×#41×D7311yescharacteristic
1748C4#1798942311yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—81no—
1754C2—81no—
1755C2—2922no—
1756C2—5841no—
1757C2—5841no—
1758C2#41×C22⋊D7311yescharacteristic
1759C2#2262471011yescharacteristic
1760C2#2262471111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3514C2
socleC22×C73C23×D4
hypercenter#3514D73
hypocenterC73#61505
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #22623875C2semidirect
2. #22623015C2semidirect
3. #22622826C2semidirect
4. #22622723C2semidirect
5. #22622678C2semidirect
6. #22622520C2semidirect
7. #22622476C2semidirect
8. #22622446C2semidirect
9. #22622167C2semidirect
10. #22622147C2semidirect
11. #22622081C2semidirect
12. #22622072C2semidirect
13. #22621961C2semidirect
14. #22621892C2semidirect
15. #22621538C2semidirect
16. #22621412C2semidirect
17. #22621407C2semidirect
18. #22620608C2semidirect
19. #22620542C2semidirect
20. #22620520C2semidirect
21. #22620202C2semidirect
22. #22620174C2semidirect
23. #22620115C2semidirect
24. #22620109C2semidirect
25. #22620040C2semidirect
26. #22620018C2semidirect
27. #22618918C2semidirect
28. #22618781C2semidirect
29. #22618763C2semidirect
30. C4×#14556616C2semidirect
31. C73×#3514C2semidirect
35. #17989322C22semidirect
36. #17989297C22semidirect
39. #17989277C22semidirect
42. #17989241C22semidirect
44. #17989233C22semidirect
46. D4×D292C22semidirect
47. #17989208C22semidirect
48. #17989192C22semidirect
51. #17989121C22semidirect
54. #17989067C22semidirect
55. #17989061C22semidirect
56. C2×C4×D292C22semidirect
57. #17988993C22semidirect
58. #17988993C22semidirect
59. #17988983C22semidirect
60. #17988977C22semidirect
61. #17988974C22semidirect
62. #17988969C22semidirect
63. #17988951C22semidirect
64. #17988949C22semidirect
65. #17988949C22semidirect
66. #17988946C22semidirect
67. #17988941C22semidirect
68. #17988935C22semidirect
69. #17988928C22semidirect
70. #17988928C22semidirect
71. #17988925C22semidirect
72. #17988915C22semidirect
73. #17988911C22semidirect
74. #17988911C22semidirect
75. #17988911C22semidirect
76. #17988911C22semidirect
77. #17988908C22semidirect
78. #17988903C22semidirect
79. #17988903C22semidirect
80. #17988903C22semidirect
81. #17988894C22semidirect
82. #17988887C22semidirect
83. #17988887C22semidirect
84. #17988887C22semidirect
85. #17988877C22semidirect
86. #17988874C22semidirect
87. #17988874C22semidirect
88. #17988874C22semidirect
89. #17988874C22semidirect
90. #17988869C22semidirect
91. #17988867C22semidirect
92. #17988864C22semidirect
93. #17988843C22semidirect
95. #17988838C22semidirect
96. #17988838C22semidirect
97. #17988838C22semidirect
98. #17988835C22semidirect
99. #17988831C22semidirect
100. #17988831C22semidirect
101. #17988821C22semidirect
102. #17988818C22semidirect
103. #17988818C22semidirect
104. #17988814C22semidirect
105. #17988809C22semidirect
106. #17988806C22semidirect
107. #17988802C22semidirect
108. #17988802C22semidirect
109. #17988802C22semidirect
110. #17988799C22semidirect
111. #17988799C22semidirect
112. #17988799C22semidirect
114. #17988782C22semidirect
116. #17988779C22semidirect
117. #17988749C22semidirect
118. #17988747C22semidirect
119. #17988738C22semidirect
120. #17988737C22semidirect
124. #17988721C22semidirect
125. #17988721C22semidirect
127. #17988720C22semidirect
128. #17988720C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
133. #17988697C22semidirect
134. #17988697C22semidirect
135. #17988697C22semidirect
136. #17988697C22semidirect
137. #17988697C22semidirect
138. #17988697C22semidirect
139. #17988697C22semidirect
140. #17988697C22semidirect
141. #17988692C22semidirect
142. #17988687C22semidirect
143. #17988687C22semidirect
144. #17988685C22semidirect
145. #17988685C22semidirect
146. #17988685C22semidirect
147. C4×#11924015C22semidirect
148. C4×#11924015C22semidirect
149. C4×#11924016C22semidirect
150. C4×#11924016C22semidirect
151. C4×#11924016C22semidirect
154. C4×#11924013C22semidirect
155. C4×#11924013C22semidirect
156. C4×#11924013C22semidirect
157. C4×#11924013C22semidirect
158. C4×#11924013C22semidirect
159. #17988665C22semidirect
160. #17988665C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
163. #17988659C22semidirect
164. #17988659C22semidirect
165. #17988648C22semidirect
166. #17988648C22semidirect
167. #17988644C22semidirect
168. #17988630C22semidirect
169. #17988630C22semidirect
170. #17988623C22semidirect
171. #17988592C22semidirect
172. #17988591C22semidirect
173. #17988591C22semidirect
174. #17988588C22semidirect
175. #17988581C22semidirect
176. C2×#14556512C22semidirect
177. #17988543C22semidirect
178. #17988543C22semidirect
179. C4×#11924012C22semidirect
180. #559×C73C22semidirect
181. #556×C73C22semidirect
183. #555×C73C22semidirect
186. D4×Q8×C73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #542×C73C22semidirect
193. #542×C73C22semidirect
196. #532×C73C22semidirect
200. #518×C73C22semidirect
201. #518×C73C22semidirect
202. C4×#41×C73C22semidirect
532. #11924013#41semidirect
881. #3514D73semidirect
912. C73#61505semidirect
917. #559C2×D73semidirect
918. #556C2×D73semidirect
920. #555C2×D73semidirect
929. D4×Q8C2×D73semidirect
937. #546C2×D73semidirect
939. D42C2×D73semidirect
941. #542C2×D73semidirect
942. #542C2×D73semidirect
948. #532C2×D73semidirect
957. #518C2×D73semidirect
958. #518C2×D73semidirect
959. C4×#41C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238752
#226230152
#226228262
#226227232
#226226782
#226225202
#226224762
#226224462
#226221672
#226221472
#226220812
#226220722
#226219612
#226218922
#226215382
#226214122
#226214072
#226206082
#226205422
#226205202
#226202022
#226201742
#226201152
#226201092
#226200402
#226200182
#226189182
#226187812
#226187632
C4×#145566162
C73×#35142
#6150573