Finite Group Databasebeta

← #33967995

Subgroups — #33967995

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623495C211yesmaximal, characteristic, complemented
2#22623006C211yesmaximal, characteristic, complemented
3#22622870C211yesmaximal, characteristic, complemented
4#22622773C211yesmaximal, characteristic, complemented
5#22622752C211yesmaximal, characteristic, complemented
6#22622440C211yesmaximal, characteristic, complemented
7#22622365C211yesmaximal, characteristic, complemented
8#22622293C211yesmaximal, characteristic, complemented
9#22622117C211yesmaximal, characteristic, complemented
10#22622021C211yesmaximal, characteristic, complemented
11#22621982C211yesmaximal, characteristic, complemented
12#22621886C211yesmaximal, characteristic, complemented
13#22621818C211yesmaximal, characteristic, complemented
14#22621760C211yesmaximal, characteristic, complemented
15#22621639C211yesmaximal, characteristic, complemented
16#22621487C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22620654C211yesmaximal, characteristic, complemented
19#22620641C211yesmaximal, characteristic, complemented
20#22620634C211yesmaximal, characteristic, complemented
21#22620102C211yesmaximal, characteristic, complemented
22#22620087C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620061C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22620034C211yesmaximal, characteristic, complemented
27#22618945C211yesmaximal, characteristic, complemented
28C4×#14556622C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30C2×#17988685C211yesmaximal, characteristic, complemented
31C73×#3482C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989310C2211yescharacteristic
36#17989302C2211yescharacteristic
37#17989297C2211yescharacteristic
38#17989287—21no—
39#17989278—21no—
40#17989277C2211yescharacteristic
41#17989277C2211yescharacteristic
42#17989266—21no—
43#17989266—21no—
44#17989242C2211yescharacteristic
45#17989233C2211yescharacteristic
46#17989233C2211yescharacteristic
47#17989144C2211yescharacteristic
48#17989121C2211yescharacteristic
49#17989121C2211yescharacteristic
50#17989115—21no—
51#17989115—21no—
52#17989094—21no—
53C4×#11924028C2211yescharacteristic
54C4×#11924028C2211yescharacteristic
55C2×C4×D292C2211yescharacteristic
56#117×D73—21no—
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988982C2211yescharacteristic, complemented
61#17988979C2211yescharacteristic
62#17988969C2211yescharacteristic
63#17988957C2211yescharacteristic, complemented
64#17988955C2211yescharacteristic, complemented
65#17988949C2211yescharacteristic
66#17988946C2211yescharacteristic, complemented
67#17988944C2211yescharacteristic
68#17988941C2211yescharacteristic, complemented
69#17988928C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988925C2211yescharacteristic, complemented
72#17988925C2211yescharacteristic, complemented
73#17988922C2211yescharacteristic, complemented
74#17988917C2211yescharacteristic
75#17988917C2211yescharacteristic
76#17988915C2211yescharacteristic
77#17988911C2211yescharacteristic
78#17988908C2211yescharacteristic, complemented
79#17988905C2211yescharacteristic
80#17988898C2211yescharacteristic
81#17988894C2211yescharacteristic, complemented
82#17988894C2211yescharacteristic, complemented
83#17988894C2211yescharacteristic, complemented
84#17988891C2211yescharacteristic, complemented
85#17988887C2211yescharacteristic, complemented
86#17988884C2211yescharacteristic
87#17988884C2211yescharacteristic
88#17988884C2211yescharacteristic
89#17988879C2211yescharacteristic, complemented
90#17988874C2211yescharacteristic
91#17988872C2211yescharacteristic, complemented
92#17988872C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic
95#17988835C2211yescharacteristic
96#17988831C2211yescharacteristic, complemented
97#17988826C2211yescharacteristic
98#17988826C2211yescharacteristic
99#17988826C2211yescharacteristic, complemented
100#17988826C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic
102#17988818C2211yescharacteristic
103#17988814C2211yescharacteristic
104#17988814C2211yescharacteristic
105#17988809C2211yescharacteristic
106#17988809C2211yescharacteristic
107#17988809C2211yescharacteristic
108#17988806C2211yescharacteristic, complemented
109#17988802C2211yescharacteristic
110#17988799C2211yescharacteristic
111#17988799C2211yescharacteristic
112#17988799C2211yescharacteristic
113#17988797C2211yescharacteristic, complemented
114#17988797C2211yescharacteristic, complemented
115#17988794C2211yescharacteristic, complemented
116#17988789C2211yescharacteristic
117#17988749C2211yescharacteristic, complemented
118#17988747C2211yescharacteristic
119#17988747C2211yescharacteristic
120#17988747C2211yescharacteristic
121#17988743C2211yescharacteristic
122#17988743C2211yescharacteristic
123#17988743C2211yescharacteristic, complemented
124#17988737C2211yescharacteristic
125#17988732C2211yescharacteristic
126#17988730C2211yescharacteristic
127#17988726C2211yescharacteristic
128#17988720C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic
134#17988692C2211yescharacteristic, complemented
135#17988692C2211yescharacteristic, complemented
136#17988692C2211yescharacteristic, complemented
137#17988692C2211yescharacteristic, complemented
138#17988692C2211yescharacteristic, complemented
139#17988692C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988687C2211yescharacteristic, complemented
142#17988687C2211yescharacteristic, complemented
143#17988687C2211yescharacteristic, complemented
144#17988685C2211yescharacteristic
145#17988685C2211yescharacteristic
146#17988685C2211yescharacteristic
147#17988685C2211yescharacteristic
148#17988685C2211yescharacteristic
149#17988685C2211yescharacteristic
150#17988685C2211yescharacteristic
151#17988685C2211yescharacteristic
152#17988685C2211yescharacteristic
153#17988685C2211yescharacteristic
154#17988685C2211yescharacteristic
155C4×#11924018C2211yescharacteristic, complemented
156C4×#11924018C2211yescharacteristic, complemented
157C4×#11924015C2211yescharacteristic
158C4×#11924015C2211yescharacteristic
159#17988659C2211yescharacteristic
160#17988659C2211yescharacteristic
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163D4×#10596831C2211yescharacteristic
164D4×#10596831C2211yescharacteristic
165#17988644C2211yescharacteristic
166#17988644C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988627C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170C2×#14556524C2211yescharacteristic
171#17988596C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic
173#17988583C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic
175C2×#14556515C2211yescharacteristic
176C2×#14556511C2211yescharacteristic
177C4×#11924012C2211yescharacteristic, complemented
178C2×#14556502C2211yescharacteristic
179C2×#14556502C2211yescharacteristic, complemented
180#557×C73C2211yescharacteristic, complemented
181#556×C73—21no—
182#556×C73C2211yescharacteristic, complemented
183#552×C73—21no—
184#552×C73—21no—
185#552×C73C2211yescharacteristic
186#552×C73C2211yescharacteristic, complemented
187D4×Q8×C73C2211yescharacteristic
188#548×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic, complemented
190#547×C73—21no—
191#547×C73C2211yescharacteristic
192#533×C73—21no—
193#533×C73C2211yescharacteristic, complemented
194#529×C73—21no—
195#529×C73—21no—
196#529×C73C2211yescharacteristic
197#529×C73C2211yescharacteristic, complemented
198C4×#41×C73—21no—
199C4×#41×C73C2211yescharacteristic
200C4×#41×C73C2211yescharacteristic, complemented
201C2×C4×Q8×C73C2211yescharacteristic
202C2×C4×Q8×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C22×C4×D73—21no—
207#14556622—24no—
208#14556611—24no—
209C2×#11924018C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924018C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924015—24no—
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556585—21no—
237#14556585—21no—
238#14556584—21no—
239#14556584—21no—
240#14556583—21no—
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556581—21no—
244#14556581—21no—
245#14556579C2311yescharacteristic
246#14556579C2311yescharacteristic
247#14556577—21no—
248#14556577—21no—
249#14556576—21no—
250#14556576—21no—
251#14556574—21no—
252#14556574—21no—
253#14556573—21no—
254#14556573—21no—
255#14556572—21no—
256#14556572—21no—
257#14556570—21no—
258#14556570C2311yescharacteristic
259#14556570C2311yescharacteristic
260#14556570C2311yescharacteristic
261#14556570C2311yescharacteristic
262#14556569—21no—
263#14556569—21no—
264#14556567—21no—
265#14556567—21no—
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556564—21no—
269#14556564—21no—
270#14556562—21no—
271#14556562—21no—
272#14556559—21no—
273#14556559—21no—
274C4×Dic146—21no—
275C4×Dic146C2311yescharacteristic
276C4×Dic146C2311yescharacteristic
277C4×Dic146C2311yescharacteristic
278C4×Dic146C2311yescharacteristic
279C4×D292—21no—
280C4×D292—21no—
281C4×D292C2311yescharacteristic
282C4×D292C2311yescharacteristic
283C4×D292C2311yescharacteristic
284C4×D292C2311yescharacteristic
285C4×D292C2311yescharacteristic
286C4×D292C2311yescharacteristic
287C4×C22⋊D73—21no—
288C4×C22⋊D73—21no—
289C4×C22⋊D73—21no—
290C4×C22⋊D73—21no—
291C4×C22⋊D73—21no—
292C4×C22⋊D73—21no—
293#14556550—21no—
294#14556550C2311yescharacteristic
295#14556550C2311yescharacteristic
296#14556549—21no—
297#14556549—21no—
298#14556548—21no—
299#14556548—21no—
300#14556548—21no—
301#14556548—21no—
302#14556547—21no—
303#14556547—21no—
304C2×C4⋊Dic73C2311yescharacteristic
305C4⋊C4×D73—21no—
306C4⋊C4×D73—21no—
307C2×#11924005—21no—
308C22⋊C4×D73—21no—
309C22⋊C4×D73—21no—
310C42×D73—21no—
311C42×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556524C2311yescharacteristic
319#14556524C2311yescharacteristic
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#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
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
378#14556502C2311yescharacteristic
379#14556502C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73—21no—
383C2×#41×C73D411yescharacteristic
384C2×#41×C73C2311yescharacteristic
385C22×Q8×C73C2311yescharacteristic
386C22×Q8×C73C2311yescharacteristic
387C4⋊Q8×C73—21no—
388C4⋊Q8×C73—21no—
389C4⋊Q8×C73C2311yescharacteristic
390C4⋊Q8×C73C2311yescharacteristic
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#125×C73—21no—
398#125×C73—21no—
399#125×C73—21no—
400#125×C73—21no—
401#125×C73—21no—
402#125×C73C2311yescharacteristic
403#125×C73C2311yescharacteristic
404#124×C73—21no—
405#124×C73—21no—
406#124×C73C2311yescharacteristic
407#124×C73C2311yescharacteristic
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73—21no—
418C22⋊Q8×C73—21no—
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73C2311yescharacteristic
422C22⋊Q8×C73C2311yescharacteristic
423C22⋊Q8×C73C2311yescharacteristic
424C22⋊Q8×C73C2311yescharacteristic
425#121×C73—21no—
426#121×C73—21no—
427#121×C73C2311yescharacteristic
428#121×C73C2311yescharacteristic
429C4×Q8×C73—21no—
430C4×Q8×C73—21no—
431C4×Q8×C73—21no—
432C4×Q8×C73—21no—
433C4×Q8×C73—21no—
434C4×Q8×C73—21no—
435C4×Q8×C73D411yescharacteristic
436C4×Q8×C73C2311yescharacteristic
437C4×Q8×C73C2311yescharacteristic
438C4×Q8×C73C2311yescharacteristic
439C4×Q8×C73C2311yescharacteristic
440C4×Q8×C73C2311yescharacteristic
441C4×Q8×C73C2311yescharacteristic
442C4×Q8×C73C2311yescharacteristic
443C4×Q8×C73C2311yescharacteristic
444C4×Q8×C73C2311yescharacteristic
445C4×D4×C73—21no—
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×C73D411yescharacteristic
453C4×D4×C73D411yescharacteristic
454C4×D4×C73D411yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73—21no—
465#117×C73—21no—
466#117×C73—21no—
467#117×C73D411yescharacteristic
468#117×C73D411yescharacteristic
469#117×C73D411yescharacteristic
470#117×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
472C2×C4⋊C4×C73—21no—
473C2×C4⋊C4×C73C2311yescharacteristic
474C2×C4⋊C4×C73C2311yescharacteristic
475C2×C42×C73—21no—
476C2×C42×C73—21no—
477C2×C42×C73—21no—
478C2×C42×C73C2311yescharacteristic
479C2×C42×C73C2311yescharacteristic
480C2×C42×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—22no—
484#11924028—41no—
485#11924028—41no—
486C2×Dic146—21no—
487C2×Dic146C2411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×D292—22no—
490C2×D292—21no—
491C2×D292—41no—
492C2×D292C2411yescharacteristic
493C2×D292C2411yescharacteristic
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C22×Dic73—21no—
499C2×C4×D73—21no—
500C2×C4×D73—21no—
501C2×C4×D73—21no—
502C2×C4×D73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—44no—
508#11924018—22no—
509#11924018—22no—
510#11924018—22no—
511#11924018—41no—
512#11924018—41no—
513#11924018—41no—
514#11924016—22no—
515#11924016—41no—
516#11924015—22no—
517#11924015—22no—
518#11924015—22no—
519#11924015—22no—
520#11924015—41no—
521#11924015#4114yescomplemented
522#11924013—22no—
523#11924013—41no—
524#11924012—22no—
525#11924012—41no—
526C2×#10596831—22no—
527C2×#10596831—22no—
528C2×#10596831—41no—
529C2×#10596831—41no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558C22⋊Dic73—21no—
559C22⋊Dic73—21no—
560C22⋊Dic73—21no—
561C22⋊Dic73—21no—
562C22⋊Dic73—21no—
563C22⋊Dic73—21no—
564#11924005—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—
576C4×Dic73—21no—
577C4×Dic73—21no—
578C4×Dic73—21no—
579C4×Dic73—21no—
580C4×Dic73—21no—
581C4×Dic73—21no—
582#41×C73—22no—
583#41×C73—42no—
584#41×C73—41no—
585#41×C73—44no—
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×C73C2×D411yescharacteristic
614C22×C4×C73C2×D411yescharacteristic
615C22×C4×C73C2×D411yescharacteristic
616C22×C4×C73C2×D411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
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×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
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
670C42×C73—21no—
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73C2×D411yescharacteristic
680C42×C73C2×D411yescharacteristic
681C42×C73C2×D411yescharacteristic
682C42×C73C2×D411yescharacteristic
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—42no—
696C22×D73—42no—
697C22×D73—81no—
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—21no—
703Q8×C73—41no—
704Q8×C73—42no—
705Q8×C73—42no—
706Q8×C73—42no—
707Q8×C73C2×#4112yes—
708D4×C73—22no—
709D4×C73—22no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—41no—
713D4×C73—42no—
714D4×C73—42no—
715D4×C73—42no—
716C2×C4×C73—22no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
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—41no—
731C2×C4×C73—41no—
732C2×C4×C73—41no—
733C2×C4×C73—41no—
734C2×C4×C73—41no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
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—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—42no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—42no—
769D292C2×#4112yes—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—81no—
777C4×D73—81no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—81no—
783#10596831—21no—
784#10596831—21no—
785#10596831—21no—
786#10596831—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73#57512yes—
803C22×C73C23×D411yescharacteristic
804C2×D73—22no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—21no—
818C4×C73—22no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73C22×#4111yescharacteristic
830C4×C73#58511yescharacteristic
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—41no—
841C2×C73—81no—
842C2×C73D4×#4111yescharacteristic
843C2×C73C2×#57511yescharacteristic
844C2×C73#358611yescharacteristic
845D73—42no—
846D73—81no—
847#3482D7311yescharacteristic, complemented
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557C2×D7311yescharacteristic, complemented
883#556—21no—
884#556—731no—
885#556C2×D7311yescharacteristic, complemented
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—21no—
890#552—21no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552C2×D7311yescharacteristic
895#552C2×D7311yescharacteristic, complemented
896#551—1461no—
897#551—1461no—
898D4×Q8C2×D7311yescharacteristic
899#548C2×D7311yescharacteristic
900#548C2×D7311yescharacteristic, complemented
901#547—21no—
902#547—731no—
903#547C2×D7311yescharacteristic
904#546—731no—
905#546—731no—
906#533—21no—
907#533—731no—
908#533C2×D7311yescharacteristic, complemented
909#529—21no—
910#529—21no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529C2×D7311yescharacteristic
916#529C2×D7311yescharacteristic, complemented
917#525—1461no—
918C4×#41—21no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41C2×D7311yescharacteristic
922C4×#41C2×D7311yescharacteristic, complemented
923C2×C4×Q8C2×D7311yescharacteristic
924C2×C4×Q8C2×D7311yescharacteristic, complemented
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—21no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41C22⋊D7311yescharacteristic
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8C22×D7311yescharacteristic
1056C22×Q8C22×D7311yescharacteristic
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—1464no—
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8—731no—
1084C4⋊Q8—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8C22×D7311yescharacteristic
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—731no—
1108#125—731no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125C22×D7311yescharacteristic
1113#125C22×D7311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124C22×D7311yescharacteristic
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—731no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8C22×D7311yescharacteristic
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—1461no—
1179C4×Q8C22⋊D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
1182C4×Q8C22×D7311yescharacteristic
1183C4×Q8C22×D7311yescharacteristic
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4C22⋊D7311yescharacteristic
1211C4×D4C22⋊D7311yescharacteristic
1212C4×D4C22⋊D7311yescharacteristic
1213C4×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—731no—
1226#117—731no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117C22⋊D7311yescharacteristic
1237#117C22⋊D7311yescharacteristic
1238#117C22⋊D7311yescharacteristic
1239#117C22×D7311yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4C22×D7311yescharacteristic
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—21no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42C22×D7311yescharacteristic
1256C2×C42C22×D7311yescharacteristic
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—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#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317C22⋊C8—731no—
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97—731no—
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—42no—
1331#41—41no—
1332#41—44no—
1333#41—2921no—
1334#41—2921no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—731no—
1345C2×Q8—731no—
1346C2×Q8—1461no—
1347C2×Q8C2×C22⋊D7311yescharacteristic
1348C2×Q8C23×D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—2921no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—1462no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4C2×C22⋊D7311yescharacteristic
1364C2×D4C2×C22⋊D7311yescharacteristic
1365C2×D4C2×C22⋊D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—2924no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4C2×C22⋊D7311yescharacteristic
1385C22×C4C2×C22⋊D7311yescharacteristic
1386C22×C4C2×C22⋊D7311yescharacteristic
1387C22×C4C2×C22⋊D7311yescharacteristic
1388C22×C4C2×C22⋊D7311yescharacteristic
1389C22×C4C2×C22⋊D7311yescharacteristic
1390C22×C4C23×D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—2921no—
1400SD16—2921no—
1401SD16—734no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—2921no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—731no—
1419C2×C8—731no—
1420C2×C8—731no—
1421C2×C8—1462no—
1422C2×C8—1462no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
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—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4C2×C22⋊D7311yescharacteristic
1465C4⋊C4C2×C22⋊D7311yescharacteristic
1466C4⋊C4C2×C22⋊D7311yescharacteristic
1467C4⋊C4C2×C22⋊D7311yescharacteristic
1468C4⋊C4C2×C22⋊D7311yescharacteristic
1469C4⋊C4C2×C22⋊D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4C2×C22⋊D7311yescharacteristic
1506C22⋊C4C2×C22⋊D7311yescharacteristic
1507C22⋊C4C2×C22⋊D7311yescharacteristic
1508C22⋊C4C2×C22⋊D7311yescharacteristic
1509C22⋊C4C2×C22⋊D7311yescharacteristic
1510C22⋊C4C2×C22⋊D7311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42C2×C22⋊D7311yescharacteristic
1527C42C2×C22⋊D7311yescharacteristic
1528C42C2×C22⋊D7311yescharacteristic
1529C42C2×C22⋊D7311yescharacteristic
1530C42C2×C22⋊D7311yescharacteristic
1531C42C2×C22⋊D7311yescharacteristic
1532C42C23×D7311yescharacteristic
1533C42C23×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—2922no—
1538C23—2922no—
1539C23—5841no—
1540C23—1461no—
1541C23—1461no—
1542C23C22×C22⋊D7311yescharacteristic
1543C23C22×C22⋊D7311yescharacteristic
1544C23C22×C22⋊D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—42no—
1552Q8—42no—
1553Q8—42no—
1554Q8—5841no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8#41×D7312yes—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—2922no—
1569D4—2922no—
1570D4—2922no—
1571D4—5841no—
1572D4—5841no—
1573D4—732no—
1574D4—1461no—
1575D4—1461no—
1576D4—1461no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—2922no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—5841no—
1611C2×C4—5841no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4C22×C22⋊D7311yescharacteristic
1619C2×C4C22×C22⋊D7311yescharacteristic
1620C2×C4C22×C22⋊D7311yescharacteristic
1621C2×C4C22×C22⋊D7311yescharacteristic
1622C2×C4C22×C22⋊D7311yescharacteristic
1623C2×C4C22×C22⋊D7311yescharacteristic
1624C2×C4C22×C22⋊D7311yescharacteristic
1625C2×C4C22×C22⋊D7311yescharacteristic
1626C2×C4C22×C22⋊D7311yescharacteristic
1627C2×C4C22×C22⋊D7311yescharacteristic
1628C2×C4C22×C22⋊D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—732no—
1631C8—1461no—
1632C8—1461no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22—5844no—
1655C22—1462no—
1656C22#1798938512yes—
1657C22C23×C22⋊D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—22no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—2921no—
1677C4—2921no—
1678C4—2921no—
1679C4—2921no—
1680C4—2921no—
1681C4—2921no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—2922no—
1689C2—5841no—
1690C2#41×C22⋊D7311yescharacteristic
1691C2C2×#1798938511yescharacteristic
1692C2#2262471811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3482C2
socleC22×C73C23×D4
hypercenter#3482D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #22623495C2semidirect
2. #22623006C2semidirect
3. #22622870C2semidirect
4. #22622773C2semidirect
5. #22622752C2semidirect
6. #22622440C2semidirect
7. #22622365C2semidirect
8. #22622293C2semidirect
9. #22622117C2semidirect
10. #22622021C2semidirect
11. #22621982C2semidirect
12. #22621886C2semidirect
13. #22621818C2semidirect
14. #22621760C2semidirect
15. #22621639C2semidirect
16. #22621487C2semidirect
17. #22621442C2semidirect
18. #22620654C2semidirect
19. #22620641C2semidirect
20. #22620634C2semidirect
21. #22620102C2semidirect
22. #22620087C2semidirect
23. #22620065C2semidirect
24. #22620061C2semidirect
25. #22620040C2semidirect
26. #22620034C2semidirect
27. #22618945C2semidirect
28. C4×#14556622C2semidirect
29. #22618729C2semidirect
30. C2×#17988685C2semidirect
31. C73×#3482C2semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
60. #17988982C22semidirect
63. #17988957C22semidirect
64. #17988955C22semidirect
66. #17988946C22semidirect
68. #17988941C22semidirect
69. #17988928C22semidirect
70. #17988925C22semidirect
71. #17988925C22semidirect
72. #17988925C22semidirect
73. #17988922C22semidirect
78. #17988908C22semidirect
81. #17988894C22semidirect
82. #17988894C22semidirect
83. #17988894C22semidirect
84. #17988891C22semidirect
85. #17988887C22semidirect
89. #17988879C22semidirect
91. #17988872C22semidirect
92. #17988872C22semidirect
93. #17988843C22semidirect
96. #17988831C22semidirect
99. #17988826C22semidirect
100. #17988826C22semidirect
108. #17988806C22semidirect
113. #17988797C22semidirect
114. #17988797C22semidirect
115. #17988794C22semidirect
117. #17988749C22semidirect
123. #17988743C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
134. #17988692C22semidirect
135. #17988692C22semidirect
136. #17988692C22semidirect
137. #17988692C22semidirect
138. #17988692C22semidirect
139. #17988692C22semidirect
140. #17988692C22semidirect
141. #17988687C22semidirect
142. #17988687C22semidirect
143. #17988687C22semidirect
155. C4×#11924018C22semidirect
156. C4×#11924018C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
166. #17988644C22semidirect
167. #17988644C22semidirect
168. #17988627C22semidirect
169. #17988623C22semidirect
171. #17988596C22semidirect
173. #17988583C22semidirect
177. C4×#11924012C22semidirect
179. C2×#14556502C22semidirect
180. #557×C73C22semidirect
182. #556×C73C22semidirect
186. #552×C73C22semidirect
189. #548×C73C22semidirect
193. #533×C73C22semidirect
197. #529×C73C22semidirect
200. C4×#41×C73C22semidirect
202. C2×C4×Q8×C73C22semidirect
521. #11924015#41semidirect
847. #3482D73semidirect
878. C73#61455semidirect
882. #557C2×D73semidirect
885. #556C2×D73semidirect
895. #552C2×D73semidirect
900. #548C2×D73semidirect
908. #533C2×D73semidirect
916. #529C2×D73semidirect
922. C4×#41C2×D73semidirect
924. C2×C4×Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226234952
#226230062
#226228702
#226227732
#226227522
#226224402
#226223652
#226222932
#226221172
#226220212
#226219822
#226218862
#226218182
#226217602
#226216392
#226214872
#226214422
#226206542
#226206412
#226206342
#226201022
#226200872
#226200652
#226200612
#226200402
#226200342
#226189452
C4×#145566222
#226187292
C2×#179886852
C73×#34822
#6145573