Finite Group Databasebeta

← #33983075

Subgroups — #33983075

Order 18688.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624322C211yesmaximal, characteristic, complemented
2#22622885C211yesmaximal, characteristic, complemented
3#22622830C211yesmaximal, characteristic, complemented
4#22622752C211yesmaximal, characteristic, complemented
5#22622645C211yesmaximal, characteristic, complemented
6#22622476C211yesmaximal, characteristic, complemented
7#22622440C211yesmaximal, characteristic, complemented
8#22622425C211yesmaximal, characteristic, complemented
9#22622371C211yesmaximal, characteristic, complemented
10#22622338C211yesmaximal, characteristic, complemented
11#22622327C211yesmaximal, characteristic, complemented
12#22622087C211yesmaximal, characteristic, complemented
13#22622087C211yesmaximal, characteristic, complemented
14#22621907C211yesmaximal, characteristic, complemented
15#22621892C211yesmaximal, characteristic, complemented
16#22621859C211yesmaximal, characteristic, complemented
17#22621781C211yesmaximal, characteristic, complemented
18#22621372C211yesmaximal, characteristic, complemented
19#22621342C211yesmaximal, characteristic, complemented
20#22621257C211yesmaximal, characteristic, complemented
21#22621223C211yesmaximal, characteristic, complemented
22#22621193C211yesmaximal, characteristic, complemented
23#22621167C211yesmaximal, characteristic, complemented
24#22620174C211yesmaximal, characteristic, complemented
25#22620130C211yesmaximal, characteristic, complemented
26#22620082C211yesmaximal, characteristic, complemented
27#22619782C211yesmaximal, characteristic, complemented
28#22619762C211yesmaximal, characteristic, complemented
29#22619719C211yesmaximal, characteristic, complemented
30#22619070C211yesmaximal, characteristic, complemented
31C73×#3521C211yesmaximal, characteristic, complemented
32#17989334—21no—
33#17989334—21no—
34#17989302C2211yescharacteristic
35#17989302C2211yescharacteristic
36#17989302C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic, complemented
38#17989283C2211yescharacteristic
39#17989283C2211yescharacteristic, complemented
40#17989275—21no—
41Q8×D292C2211yescharacteristic, complemented
42#17989245—21no—
43#17989241C2211yescharacteristic
44#17989215C2211yescharacteristic
45#17989215C2211yescharacteristic, complemented
46#17989203—21no—
47#17989203—21no—
48#17989192C2211yescharacteristic
49#17989192C2211yescharacteristic, complemented
50#17989166—21no—
51#17989160—21no—
52#17989144C2211yescharacteristic, complemented
53#17989137C2211yescharacteristic, complemented
54#17988997C2211yescharacteristic, complemented
55#17988997C2211yescharacteristic, complemented
56#17988997C2211yescharacteristic, complemented
57#17988993C2211yescharacteristic, complemented
58#17988986C2211yescharacteristic, complemented
59#17988983C2211yescharacteristic, complemented
60#17988955C2211yescharacteristic, complemented
61#17988946C2211yescharacteristic
62#17988946C2211yescharacteristic
63#17988946C2211yescharacteristic
64#17988941C2211yescharacteristic
65#17988937C2211yescharacteristic, complemented
66#17988925C2211yescharacteristic
67#17988925C2211yescharacteristic
68#17988925C2211yescharacteristic, complemented
69#17988925C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988920C2211yescharacteristic
72#17988915C2211yescharacteristic
73#17988915C2211yescharacteristic, complemented
74#17988911C2211yescharacteristic
75#17988911C2211yescharacteristic
76#17988911C2211yescharacteristic, complemented
77#17988911C2211yescharacteristic, complemented
78#17988908C2211yescharacteristic
79#17988908C2211yescharacteristic
80#17988908C2211yescharacteristic
81#17988905C2211yescharacteristic, complemented
82#17988903C2211yescharacteristic
83#17988900C2211yescharacteristic, complemented
84#17988894C2211yescharacteristic, complemented
85#17988894C2211yescharacteristic, complemented
86#17988894C2211yescharacteristic, complemented
87#17988894C2211yescharacteristic, complemented
88#17988894C2211yescharacteristic, complemented
89#17988887C2211yescharacteristic
90#17988887C2211yescharacteristic
91#17988887C2211yescharacteristic
92#17988887C2211yescharacteristic
93#17988887C2211yescharacteristic
94#17988887C2211yescharacteristic
95#17988887C2211yescharacteristic
96#17988884C2211yescharacteristic, complemented
97#17988884C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988882C2211yescharacteristic, complemented
102#17988882C2211yescharacteristic, complemented
103#17988877C2211yescharacteristic
104#17988877C2211yescharacteristic
105#17988877C2211yescharacteristic
106#17988874C2211yescharacteristic, complemented
107#17988872C2211yescharacteristic, complemented
108#17988872C2211yescharacteristic, complemented
109#17988867C2211yescharacteristic
110#17988867C2211yescharacteristic
111#17988867C2211yescharacteristic
112#17988867C2211yescharacteristic
113#17988864C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic
115#17988835C2211yescharacteristic
116#17988835C2211yescharacteristic
117#17988835C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic
119#17988821C2211yescharacteristic
120#17988821C2211yescharacteristic
121#17988818C2211yescharacteristic
122#17988818C2211yescharacteristic
123#17988818C2211yescharacteristic, complemented
124#17988818C2211yescharacteristic, complemented
125#17988818C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic
127#17988799C2211yescharacteristic
128#17988799C2211yescharacteristic
129#17988799C2211yescharacteristic
130#17988789C2211yescharacteristic, complemented
131#17988789C2211yescharacteristic, complemented
132#17988787C2211yescharacteristic, complemented
133#17988787C2211yescharacteristic, complemented
134#17988782C2211yescharacteristic
135#17988782C2211yescharacteristic
136#17988732C2211yescharacteristic
137#17988732C2211yescharacteristic
138#17988732C2211yescharacteristic
139#17988732C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988721C2211yescharacteristic
142#17988718C2211yescharacteristic, complemented
143#17988718C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic
149#17988685C2211yescharacteristic, complemented
150#17988685C2211yescharacteristic, complemented
151#17988685C2211yescharacteristic, complemented
152C4×#11924015C2211yescharacteristic, complemented
153C4×#11924013C2211yescharacteristic
154C4×#11924013C2211yescharacteristic
155C4×#11924013C2211yescharacteristic
156#17988659C2211yescharacteristic
157#17988659C2211yescharacteristic
158#17988659C2211yescharacteristic
159#17988659C2211yescharacteristic, complemented
160D4×#10596831C2211yescharacteristic
161D4×#10596831C2211yescharacteristic, complemented
162#17988648C2211yescharacteristic
163#17988648C2211yescharacteristic, complemented
164#17988644C2211yescharacteristic, complemented
165#17988630C2211yescharacteristic
166#17988627C2211yescharacteristic, complemented
167#17988623C2211yescharacteristic
168#17988623C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170C2×#14556524C2211yescharacteristic, complemented
171#17988614C2211yescharacteristic
172#17988614C2211yescharacteristic, complemented
173C2×C4⋊#10596831C2211yescharacteristic, complemented
174#17988592C2211yescharacteristic
175#17988588C2211yescharacteristic
176#17988583C2211yescharacteristic
177#17988583C2211yescharacteristic
178#17988583C2211yescharacteristic
179C2×#14556512C2211yescharacteristic
180#556×C73C2211yescharacteristic
181#556×C73C2211yescharacteristic
182#554×C73C2211yescharacteristic
183#553×C73—21no—
184#553×C73C2211yescharacteristic
185#552×C73—21no—
186#552×C73C2211yescharacteristic
187#551×C73—21no—
188#551×C73—21no—
189#547×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#542×C73C2211yescharacteristic
193#541×C73C2211yescharacteristic
194#539×C73—21no—
195#538×C73—21no—
196#529×C73—21no—
197#529×C73C2211yescharacteristic
198#529×C73C2211yescharacteristic
199C2×#126×C73—21no—
200#520×C73C2211yescharacteristic
201#518×C73C2211yescharacteristic
202C4×#41×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×Q8×D73—21no—
206C2×#11924015C2311yescharacteristic
207C2×#11924015C2311yescharacteristic
208C2×#11924015C2311yescharacteristic
209C2×#11924015C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924013C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924012C2311yescharacteristic
215C2×#11924012C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C22×#10596831C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556591C2311yescharacteristic
225#14556590—21no—
226#14556590—21no—
227#14556588C2311yescharacteristic
228#14556586—21no—
229#14556586—21no—
230#14556583C2311yescharacteristic
231#14556583C2311yescharacteristic
232#14556583C2311yescharacteristic
233#14556583C2311yescharacteristic
234#14556582—21no—
235#14556582—21no—
236#14556579—21no—
237#14556577—21no—
238#14556577—21no—
239#14556577—21no—
240#14556577—21no—
241#14556577—21no—
242#14556577—21no—
243#14556576—21no—
244#14556576—21no—
245#14556576—21no—
246#14556576—21no—
247#14556575—21no—
248#14556575—21no—
249#14556573—21no—
250#14556573—21no—
251#14556571—21no—
252#14556571—21no—
253#14556571—21no—
254#14556571—21no—
255#14556570—21no—
256#14556570—21no—
257#14556569—21no—
258#14556569—21no—
259#14556568—21no—
260#14556568—21no—
261#14556568—21no—
262#14556568—21no—
263#14556567—21no—
264#14556565—21no—
265#14556565C2311yescharacteristic
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556565C2311yescharacteristic
270#14556565C2311yescharacteristic
271#14556564—21no—
272#14556564—21no—
273#14556564—21no—
274#14556564—21no—
275#14556563—21no—
276#14556563—21no—
277#14556562—21no—
278#14556562—21no—
279#14556562—21no—
280C4×Dic146—21no—
281C4×Dic146—21no—
282C4×D292—21no—
283C4×D292C2311yescharacteristic
284C4×D292C2311yescharacteristic
285C4×D292C2311yescharacteristic
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289#14556551—21no—
290#14556551—21no—
291#14556550C2311yescharacteristic
292#14556550C2311yescharacteristic
293#14556550C2311yescharacteristic
294#14556550C2311yescharacteristic
295#14556549—21no—
296#14556549—21no—
297#14556549—21no—
298C2×C4⋊Dic73C2311yescharacteristic
299C2×C4⋊Dic73C2311yescharacteristic
300C4⋊C4×D73—21no—
301#14556524C2311yescharacteristic
302#14556524C2311yescharacteristic
303#14556524C2311yescharacteristic
304#14556524C2311yescharacteristic
305#14556524C2311yescharacteristic
306#14556524C2311yescharacteristic
307#14556524C2311yescharacteristic
308#14556524C2311yescharacteristic
309#14556524C2311yescharacteristic
310#14556524C2311yescharacteristic
311#14556524C2311yescharacteristic
312#14556524C2311yescharacteristic
313#14556522C2311yescharacteristic
314#14556522C2311yescharacteristic
315#14556522C2311yescharacteristic
316#14556522C2311yescharacteristic
317#14556522C2311yescharacteristic
318#14556522C2311yescharacteristic
319#14556522C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325C4⋊#10596831C2311yescharacteristic
326C4⋊#10596831C2311yescharacteristic
327C4⋊#10596831C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334C4⋊#10596831C2311yescharacteristic
335#14556515C2311yescharacteristic
336#14556515C2311yescharacteristic
337#14556515C2311yescharacteristic
338#14556515C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556515C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
350#14556512C2311yescharacteristic
351#14556512C2311yescharacteristic
352#14556512C2311yescharacteristic
353#14556512C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366#14556511C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372C22⋊#10596831C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376#14556502C2311yescharacteristic
377C4×#10596831C2311yescharacteristic
378C4×#10596831C2311yescharacteristic
379C2×#41×C73C2311yescharacteristic
380C2×#41×C73C2311yescharacteristic
381C22×D4×C73C2311yescharacteristic
382C4⋊Q8×C73C2311yescharacteristic
383C4⋊Q8×C73C2311yescharacteristic
384#126×C73—21no—
385#126×C73—21no—
386#126×C73—21no—
387#126×C73—21no—
388#126×C73—21no—
389#126×C73—21no—
390#126×C73—21no—
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73D411yescharacteristic
395#126×C73D411yescharacteristic
396#125×C73—21no—
397#125×C73—21no—
398#125×C73—21no—
399#125×C73D411yescharacteristic
400#125×C73C2311yescharacteristic
401#125×C73C2311yescharacteristic
402#124×C73—21no—
403#124×C73—21no—
404#124×C73D411yescharacteristic
405#124×C73C2311yescharacteristic
406#124×C73C2311yescharacteristic
407#123×C73—21no—
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414#123×C73—21no—
415#123×C73D411yescharacteristic
416#123×C73D411yescharacteristic
417C22⋊Q8×C73—21no—
418C22⋊Q8×C73—21no—
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73—21no—
422C22⋊Q8×C73D411yescharacteristic
423C22⋊Q8×C73C2311yescharacteristic
424C22⋊Q8×C73C2311yescharacteristic
425C22⋊Q8×C73C2311yescharacteristic
426C22⋊Q8×C73C2311yescharacteristic
427#121×C73—21no—
428#121×C73—21no—
429#121×C73—21no—
430#121×C73—21no—
431#121×C73D411yescharacteristic
432#121×C73C2311yescharacteristic
433#121×C73C2311yescharacteristic
434#120×C73—21no—
435#120×C73—21no—
436C4×Q8×C73—21no—
437C4×Q8×C73C2311yescharacteristic
438C4×Q8×C73C2311yescharacteristic
439C4×Q8×C73C2311yescharacteristic
440C4×Q8×C73C2311yescharacteristic
441C4×Q8×C73C2311yescharacteristic
442C4×D4×C73—21no—
443C4×D4×C73—21no—
444C4×D4×C73—21no—
445C4×D4×C73—21no—
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466#117×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73—21no—
469C2×C4⋊C4×C73—21no—
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C22⋊C4×C73—21no—
476C2×C42×C73—21no—
477C2×C42×C73C2311yescharacteristic
478#11924028—82no—
479#11924027—82no—
480C2×Dic146—21no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485Q8×D73—82no—
486C2×D292—21no—
487C2×D292—21no—
488C2×D292C2411yescharacteristic
489C2×D292C2411yescharacteristic
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C22×Dic73—21no—
497C22×Dic73—21no—
498C2×C4×D73—21no—
499C2×C4×D73—21no—
500C2×C4×D73—21no—
501C2×C4×D73—21no—
502C2×C4×D73—21no—
503C2×C4×D73—21no—
504#11924015—41no—
505#11924015—41no—
506#11924015—41no—
507#11924015—41no—
508#11924013—22no—
509#11924013—22no—
510#11924013—41no—
511#11924013—41no—
512#11924012—41no—
513#11924012—41no—
514C2×#10596831—41no—
515C2×#10596831—41no—
516C2×#10596831—41no—
517C2×#10596831—41no—
518C2×#10596831C2411yescharacteristic
519C2×#10596831C2411yescharacteristic
520C2×#10596831C2411yescharacteristic
521C2×#10596831C2411yescharacteristic
522C2×#10596831C2411yescharacteristic
523C2×#10596831C2411yescharacteristic
524C2×#10596831C2411yescharacteristic
525C2×#10596831C2411yescharacteristic
526C4⋊Dic73—21no—
527C4⋊Dic73—21no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73C2411yescharacteristic
534C4⋊Dic73C2411yescharacteristic
535C4⋊Dic73C2411yescharacteristic
536C4⋊Dic73C2411yescharacteristic
537C4⋊Dic73C2411yescharacteristic
538C4⋊Dic73C2411yescharacteristic
539#11924007—21no—
540#11924007—21no—
541#11924007—21no—
542#11924007—21no—
543#11924007—21no—
544#11924007—21no—
545#11924007—21no—
546#11924007—21no—
547C22⋊Dic73—21no—
548C22⋊Dic73—21no—
549C22⋊Dic73—21no—
550C22⋊Dic73—21no—
551#11924005—21no—
552#11924005—21no—
553#11924005—21no—
554#11924005—21no—
555#11924005—21no—
556#11924005—21no—
557#11924005—21no—
558#11924005—21no—
559#11924005—21no—
560#11924005—21no—
561#11924005—21no—
562#11924005—21no—
563C4×Dic73—21no—
564C4×Dic73—21no—
565C4×Dic73—21no—
566C4×Dic73—21no—
567C24×C73—21no—
568#41×C73—22no—
569#41×C73—22no—
570#41×C73—41no—
571#41×C73—41no—
572C2×Q8×C73—21no—
573C2×Q8×C73C2×D411yescharacteristic
574C2×Q8×C73C2411yescharacteristic
575C2×Q8×C73C2411yescharacteristic
576C2×D4×C73—22no—
577C2×D4×C73—21no—
578C2×D4×C73—21no—
579C2×D4×C73—21no—
580C2×D4×C73—21no—
581C2×D4×C73—21no—
582C2×D4×C73—41no—
583C2×D4×C73C2×D411yescharacteristic
584C2×D4×C73C2×D411yescharacteristic
585C2×D4×C73C2×D411yescharacteristic
586C2×D4×C73C2411yescharacteristic
587C2×D4×C73C2411yescharacteristic
588C22×C4×C73—21no—
589C22×C4×C73—21no—
590C22×C4×C73—21no—
591C22×C4×C73—21no—
592C22×C4×C73—21no—
593C22×C4×C73—21no—
594C22×C4×C73—21no—
595C22×C4×C73—21no—
596C22×C4×C73—21no—
597C22×C4×C73C2×D411yescharacteristic
598C22×C4×C73C2×D411yescharacteristic
599C22×C4×C73C2411yescharacteristic
600C22×C4×C73C2411yescharacteristic
601C22×C4×C73C2411yescharacteristic
602C4⋊C4×C73—21no—
603C4⋊C4×C73—21no—
604C4⋊C4×C73—21no—
605C4⋊C4×C73—21no—
606C4⋊C4×C73—21no—
607C4⋊C4×C73—21no—
608C4⋊C4×C73—21no—
609C4⋊C4×C73—21no—
610C4⋊C4×C73—21no—
611C4⋊C4×C73—21no—
612C4⋊C4×C73—21no—
613C4⋊C4×C73—21no—
614C4⋊C4×C73—21no—
615C4⋊C4×C73—21no—
616C4⋊C4×C73—21no—
617C4⋊C4×C73—21no—
618C4⋊C4×C73C2×D411yescharacteristic
619C4⋊C4×C73C2×D411yescharacteristic
620C4⋊C4×C73C2×D411yescharacteristic
621C4⋊C4×C73C2×D411yescharacteristic
622C4⋊C4×C73C2×D411yescharacteristic
623C4⋊C4×C73C2×D411yescharacteristic
624C4⋊C4×C73C2×D411yescharacteristic
625C4⋊C4×C73C2×D411yescharacteristic
626C4⋊C4×C73C2×D411yescharacteristic
627C4⋊C4×C73C2×D411yescharacteristic
628C4⋊C4×C73C2411yescharacteristic
629C4⋊C4×C73C2411yescharacteristic
630C4⋊C4×C73C2411yescharacteristic
631C4⋊C4×C73C2411yescharacteristic
632C22⋊C4×C73—21no—
633C22⋊C4×C73—21no—
634C22⋊C4×C73—21no—
635C22⋊C4×C73—21no—
636C22⋊C4×C73—21no—
637C22⋊C4×C73—21no—
638C22⋊C4×C73—21no—
639C22⋊C4×C73—21no—
640C22⋊C4×C73—21no—
641C22⋊C4×C73—21no—
642C22⋊C4×C73—21no—
643C22⋊C4×C73—21no—
644C22⋊C4×C73—21no—
645C22⋊C4×C73—21no—
646C22⋊C4×C73—21no—
647C22⋊C4×C73—21no—
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73C2×D411yescharacteristic
651C22⋊C4×C73C2×D411yescharacteristic
652C22⋊C4×C73C2×D411yescharacteristic
653C22⋊C4×C73C2×D411yescharacteristic
654C22⋊C4×C73C2×D411yescharacteristic
655C22⋊C4×C73C2×D411yescharacteristic
656C22⋊C4×C73C2×D411yescharacteristic
657C22⋊C4×C73C2×D411yescharacteristic
658C22⋊C4×C73C2×D411yescharacteristic
659C22⋊C4×C73C2×D411yescharacteristic
660C42×C73—21no—
661C42×C73—21no—
662C42×C73—21no—
663C42×C73—21no—
664C42×C73—21no—
665C42×C73—21no—
666C42×C73C2×D411yescharacteristic
667C42×C73C2×D411yescharacteristic
668C42×C73C2411yescharacteristic
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—81no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C23×C73C22×D411yescharacteristic
680C22×D73—21no—
681C22×D73—21no—
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—21no—
685Q8×C73—21no—
686Q8×C73—41no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—41no—
692D4×C73—41no—
693D4×C73—41no—
694D4×C73—42no—
695D4×C73—42no—
696D4×C73—42no—
697D4×C73—81no—
698D4×C73—81no—
699D4×C732−1+412yes—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—41no—
713C2×C4×C73—41no—
714C2×C4×C73—42no—
715C2×C4×C73—42no—
716C2×C4×C73—81no—
717C2×C4×C73—81no—
718C2×C4×C73—81no—
719C2×C4×C73—81no—
720C2×C4×C73—81no—
721C2×C4×C73—81no—
722C2×C4×C73—81no—
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—81no—
736C22⋊D73—81no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—81no—
748C2×Dic73—81no—
749D292—21no—
750D292—21no—
751D292—21no—
752D292—21no—
753D292—81no—
754D292—81no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761Dic146—42no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766#10596831—21no—
767#10596831—21no—
768#10596831—21no—
769#10596831—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—21no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—22no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—162no—
790C22×C73C23×D411yescharacteristic
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—21no—
804C4×C73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73C2×2−1+411yescharacteristic
815C4×C73#58511yescharacteristic
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—41no—
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—42no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—81no—
832D73—81no—
833#3547—731no—
834#3521D7311yescharacteristic, complemented
835#3389—731no—
836#3384—731no—
837#3376—731no—
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347—731no—
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306—731no—
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083—731no—
861#3081—731no—
862#3076—731no—
863#2992—731no—
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556C2×D7311yescharacteristic
868#556C2×D7311yescharacteristic
869#555—731no—
870#555—731no—
871#555—731no—
872#554—731no—
873#554C2×D7311yescharacteristic
874#553—21no—
875#553—731no—
876#553—731no—
877#553C2×D7311yescharacteristic
878#552—21no—
879#552—1461no—
880#552C2×D7311yescharacteristic
881#551—21no—
882#551—21no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547C2×D7311yescharacteristic
887#546C2×D7311yescharacteristic
888#546C2×D7311yescharacteristic
889#544—731no—
890#544—731no—
891#542—1461no—
892#542—1461no—
893#542C2×D7311yescharacteristic
894#541C2×D7311yescharacteristic
895#540—731no—
896#540—731no—
897#539—21no—
898#538—21no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—21no—
904#529C2×D7311yescharacteristic
905#529C2×D7311yescharacteristic
906C2×#126—21no—
907#520C2×D7311yescharacteristic
908#518C2×D7311yescharacteristic
909C4×#41C2×D7311yescharacteristic
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#499—731no—
915#498—731no—
916#491—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#488—731no—
921#487—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#481—731no—
938#481—731no—
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#477—731no—
957#477—731no—
958#477—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466—731no—
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#463—731no—
983#463—731no—
984#463—731no—
985#463—731no—
986#461—731no—
987#461—731no—
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449—731no—
996#447—731no—
997#447—731no—
998#446—731no—
999#446—731no—
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008C4×SD16—731no—
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016C8×D4—731no—
1017C8×D4—731no—
1018#433—731no—
1019#433—731no—
1020#432—731no—
1021#428—731no—
1022#428—731no—
1023#427—731no—
1024#427—731no—
1025#427—731no—
1026C2×#107—731no—
1027#424—731no—
1028#424—731no—
1029C2×C4⋊C8—731no—
1030#418—731no—
1031#417—731no—
1032#416—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#41—1461no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C2×#41C22×D7311yescharacteristic
1040C22×Q8—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×M16—731no—
1051C2×M16—731no—
1052C22×C8—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C4⋊Q8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—1461no—
1077#126—1461no—
1078#126C22⋊D7311yescharacteristic
1079#126C22⋊D7311yescharacteristic
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—1461no—
1088#125—1461no—
1089#125C22⋊D7311yescharacteristic
1090#125C22×D7311yescharacteristic
1091#125C22×D7311yescharacteristic
1092#124—21no—
1093#124—21no—
1094#124—1461no—
1095#124—1461no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124C22⋊D7311yescharacteristic
1102#124C22×D7311yescharacteristic
1103#124C22×D7311yescharacteristic
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123C22⋊D7311yescharacteristic
1121#123C22⋊D7311yescharacteristic
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8C22⋊D7311yescharacteristic
1141C22⋊Q8C22×D7311yescharacteristic
1142C22⋊Q8C22×D7311yescharacteristic
1143C22⋊Q8C22×D7311yescharacteristic
1144C22⋊Q8C22×D7311yescharacteristic
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22⋊D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#121C22×D7311yescharacteristic
1168#120—21no—
1169#120—21no—
1170C4×Q8—21no—
1171C4×Q8—1461no—
1172C4×Q8—1461no—
1173C4×Q8C22×D7311yescharacteristic
1174C4×Q8C22×D7311yescharacteristic
1175C4×Q8C22×D7311yescharacteristic
1176C4×Q8C22×D7311yescharacteristic
1177C4×Q8C22×D7311yescharacteristic
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4C22×D7311yescharacteristic
1196C4×D4C22×D7311yescharacteristic
1197C4×D4C22×D7311yescharacteristic
1198C4×D4C22×D7311yescharacteristic
1199C4×D4C22×D7311yescharacteristic
1200C4×D4C22×D7311yescharacteristic
1201C4×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117C22×D7311yescharacteristic
1217#117C22×D7311yescharacteristic
1218#117C22×D7311yescharacteristic
1219#117C22×D7311yescharacteristic
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C42—21no—
1232C2×C42C22×D7311yescharacteristic
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257C4⋊C8—731no—
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267#103—731no—
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299C22⋊C8—731no—
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305#97—731no—
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C24—21no—
1312#41—22no—
1313#41—22no—
1314#41—41no—
1315#41—41no—
1316#41—5842no—
1317#41—5842no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8C2×C22⋊D7311yescharacteristic
1326C2×Q8C23×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—22no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—41no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4C2×C22⋊D7311yescharacteristic
1346C2×D4C2×C22⋊D7311yescharacteristic
1347C2×D4C2×C22⋊D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C2×D4C23×D7311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4C2×C22⋊D7311yescharacteristic
1368C22×C4C2×C22⋊D7311yescharacteristic
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379D8—1462no—
1380M16—2921no—
1381M16—2921no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—2921no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8—731no—
1391C2×C8—731no—
1392C2×C8—731no—
1393C2×C8—731no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4C2×C22⋊D7311yescharacteristic
1432C4⋊C4C2×C22⋊D7311yescharacteristic
1433C4⋊C4C2×C22⋊D7311yescharacteristic
1434C4⋊C4C2×C22⋊D7311yescharacteristic
1435C4⋊C4C2×C22⋊D7311yescharacteristic
1436C4⋊C4C2×C22⋊D7311yescharacteristic
1437C4⋊C4C2×C22⋊D7311yescharacteristic
1438C4⋊C4C2×C22⋊D7311yescharacteristic
1439C4⋊C4C2×C22⋊D7311yescharacteristic
1440C4⋊C4C2×C22⋊D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4C2×C22⋊D7311yescharacteristic
1480C22⋊C4C2×C22⋊D7311yescharacteristic
1481C22⋊C4C2×C22⋊D7311yescharacteristic
1482C22⋊C4C2×C22⋊D7311yescharacteristic
1483C22⋊C4C2×C22⋊D7311yescharacteristic
1484C22⋊C4C2×C22⋊D7311yescharacteristic
1485C22⋊C4C2×C22⋊D7311yescharacteristic
1486C22⋊C4C2×C22⋊D7311yescharacteristic
1487C22⋊C4C2×C22⋊D7311yescharacteristic
1488C22⋊C4C2×C22⋊D7311yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42C2×C22⋊D7311yescharacteristic
1500C42C2×C22⋊D7311yescharacteristic
1501C42C23×D7311yescharacteristic
1502C42C23×D7311yescharacteristic
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—42no—
1508C23—81no—
1509C23—81no—
1510C23—1461no—
1511C23—1461no—
1512C23C22×C22⋊D7311yescharacteristic
1513C23C22×C22⋊D7311yescharacteristic
1514C23C22×C22⋊D7311yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—81no—
1521Q8—2922no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—42no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—81no—
1537D4—5841no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—1461no—
1546D4—1461no—
1547D4—1461no—
1548D4—1461no—
1549D4#1455663812yes—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—42no—
1565C2×C4—42no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—2922no—
1574C2×C4—2922no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4C22×C22⋊D7311yescharacteristic
1588C2×C4C22×C22⋊D7311yescharacteristic
1589C2×C4C22×C22⋊D7311yescharacteristic
1590C2×C4C22×C22⋊D7311yescharacteristic
1591C2×C4C22×C22⋊D7311yescharacteristic
1592C2×C4C22×C22⋊D7311yescharacteristic
1593C2×C4C22×C22⋊D7311yescharacteristic
1594C2×C4C22×C22⋊D7311yescharacteristic
1595C2×C4C22×C22⋊D7311yescharacteristic
1596C2×C4C22×C22⋊D7311yescharacteristic
1597C2×C4C22×C22⋊D7311yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—1461no—
1600C8—1461no—
1601C8—1461no—
1602C8—1461no—
1603C8—1461no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—162no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—2921no—
1629C22C23×C22⋊D7311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—2921no—
1651C4—2921no—
1652C4—2921no—
1653C4C2×#1455663811yescharacteristic
1654C4#1798942311yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—5841no—
1661C2—5841no—
1662C2#2262361111yescharacteristic
1663C2#2262470211yescharacteristic
1664C2#2262471011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3521C2
socleC22×C73C23×D4
hypercenter#3521D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #22624322C2semidirect
2. #22622885C2semidirect
3. #22622830C2semidirect
4. #22622752C2semidirect
5. #22622645C2semidirect
6. #22622476C2semidirect
7. #22622440C2semidirect
8. #22622425C2semidirect
9. #22622371C2semidirect
10. #22622338C2semidirect
11. #22622327C2semidirect
12. #22622087C2semidirect
13. #22622087C2semidirect
14. #22621907C2semidirect
15. #22621892C2semidirect
16. #22621859C2semidirect
17. #22621781C2semidirect
18. #22621372C2semidirect
19. #22621342C2semidirect
20. #22621257C2semidirect
21. #22621223C2semidirect
22. #22621193C2semidirect
23. #22621167C2semidirect
24. #22620174C2semidirect
25. #22620130C2semidirect
26. #22620082C2semidirect
27. #22619782C2semidirect
28. #22619762C2semidirect
29. #22619719C2semidirect
30. #22619070C2semidirect
31. C73×#3521C2semidirect
36. #17989302C22semidirect
37. #17989297C22semidirect
39. #17989283C22semidirect
41. Q8×D292C22semidirect
45. #17989215C22semidirect
49. #17989192C22semidirect
52. #17989144C22semidirect
53. #17989137C22semidirect
54. #17988997C22semidirect
55. #17988997C22semidirect
56. #17988997C22semidirect
57. #17988993C22semidirect
58. #17988986C22semidirect
59. #17988983C22semidirect
60. #17988955C22semidirect
65. #17988937C22semidirect
68. #17988925C22semidirect
69. #17988925C22semidirect
70. #17988925C22semidirect
73. #17988915C22semidirect
76. #17988911C22semidirect
77. #17988911C22semidirect
81. #17988905C22semidirect
83. #17988900C22semidirect
84. #17988894C22semidirect
85. #17988894C22semidirect
86. #17988894C22semidirect
87. #17988894C22semidirect
88. #17988894C22semidirect
96. #17988884C22semidirect
97. #17988884C22semidirect
98. #17988884C22semidirect
99. #17988884C22semidirect
100. #17988882C22semidirect
101. #17988882C22semidirect
102. #17988882C22semidirect
106. #17988874C22semidirect
107. #17988872C22semidirect
108. #17988872C22semidirect
113. #17988864C22semidirect
117. #17988835C22semidirect
123. #17988818C22semidirect
124. #17988818C22semidirect
125. #17988818C22semidirect
130. #17988789C22semidirect
131. #17988789C22semidirect
132. #17988787C22semidirect
133. #17988787C22semidirect
142. #17988718C22semidirect
143. #17988718C22semidirect
149. #17988685C22semidirect
150. #17988685C22semidirect
151. #17988685C22semidirect
152. C4×#11924015C22semidirect
159. #17988659C22semidirect
161. D4×#10596831C22semidirect
163. #17988648C22semidirect
164. #17988644C22semidirect
166. #17988627C22semidirect
168. #17988623C22semidirect
169. #17988623C22semidirect
170. C2×#14556524C22semidirect
172. #17988614C22semidirect
173. C2×C4⋊#10596831C22semidirect
834. #3521D73semidirect
864. C73#62171semidirect

Maximal subgroups

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

subgroupindex
#226243222
#226228852
#226228302
#226227522
#226226452
#226224762
#226224402
#226224252
#226223712
#226223382
#226223272
#226220872
#226219072
#226218922
#226218592
#226217812
#226213722
#226213422
#226212572
#226212232
#226211932
#226211672
#226201742
#226201302
#226200822
#226197822
#226197622
#226197192
#226190702
C73×#35212
#6217173