Finite Group Databasebeta

← #33969090

Subgroups — #33969090

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623965C211yesmaximal, characteristic, complemented
2#22622969C211yesmaximal, characteristic, complemented
3#22622870C211yesmaximal, characteristic, complemented
4#22622678C211yesmaximal, characteristic, complemented
5#22622660C211yesmaximal, characteristic, complemented
6#22622491C211yesmaximal, characteristic, complemented
7#22622431C211yesmaximal, characteristic, complemented
8#22622425C211yesmaximal, characteristic, complemented
9#22622184C211yesmaximal, characteristic, complemented
10#22622167C211yesmaximal, characteristic, complemented
11#22622117C211yesmaximal, characteristic, complemented
12#22622066C211yesmaximal, characteristic, complemented
13#22621946C211yesmaximal, characteristic, complemented
14#22621937C211yesmaximal, characteristic, complemented
15#22621551C211yesmaximal, characteristic, complemented
16#22621427C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22620608C211yesmaximal, characteristic, complemented
19#22620575C211yesmaximal, characteristic, complemented
20#22620527C211yesmaximal, characteristic, complemented
21#22620222C211yesmaximal, characteristic, complemented
22#22620169C211yesmaximal, characteristic, complemented
23#22620130C211yesmaximal, characteristic, complemented
24#22620109C211yesmaximal, characteristic, complemented
25#22620082C211yesmaximal, characteristic, complemented
26#22620065C211yesmaximal, characteristic, complemented
27#22618918C211yesmaximal, characteristic, complemented
28#22618790C211yesmaximal, characteristic, complemented
29#22618759C211yesmaximal, characteristic, complemented
30C4×#14556616C211yesmaximal, characteristic, complemented
31C73×#3524C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989302C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989290—21no—
38#17989283C2211yescharacteristic
39#17989283C2211yescharacteristic
40#17989259C2211yescharacteristic
41#17989230—21no—
42#17989229—21no—
43#17989229—21no—
44D4×D292C2211yescharacteristic
45D4×D292C2211yescharacteristic
46D4×D292C2211yescharacteristic
47#17989192C2211yescharacteristic
48#17989192C2211yescharacteristic
49#17989176—21no—
50#17989176—21no—
51#17989137C2211yescharacteristic
52#17989100—21no—
53#121×D73—21no—
54#17989061C2211yescharacteristic
55#17989061C2211yescharacteristic
56C2×C4×D292C2211yescharacteristic
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988977C2211yescharacteristic, complemented
61#17988977C2211yescharacteristic, complemented
62#17988963C2211yescharacteristic, complemented
63#17988953C2211yescharacteristic, complemented
64#17988953C2211yescharacteristic, complemented
65#17988951C2211yescharacteristic, complemented
66#17988946C2211yescharacteristic, complemented
67#17988941C2211yescharacteristic, complemented
68#17988935C2211yescharacteristic, complemented
69#17988925C2211yescharacteristic, complemented
70#17988915C2211yescharacteristic, complemented
71#17988911C2211yescharacteristic, complemented
72#17988911C2211yescharacteristic, complemented
73#17988911C2211yescharacteristic, complemented
74#17988911C2211yescharacteristic, complemented
75#17988908C2211yescharacteristic, complemented
76#17988908C2211yescharacteristic, complemented
77#17988908C2211yescharacteristic, complemented
78#17988905C2211yescharacteristic, complemented
79#17988900C2211yescharacteristic, complemented
80#17988898C2211yescharacteristic, complemented
81#17988894C2211yescharacteristic, complemented
82#17988894C2211yescharacteristic, complemented
83#17988894C2211yescharacteristic, complemented
84#17988887C2211yescharacteristic, complemented
85#17988884C2211yescharacteristic
86#17988884C2211yescharacteristic
87#17988884C2211yescharacteristic, complemented
88#17988884C2211yescharacteristic, complemented
89#17988874C2211yescharacteristic
90#17988872C2211yescharacteristic, complemented
91#17988867C2211yescharacteristic, complemented
92#17988864C2211yescharacteristic, complemented
93#17988838C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic, complemented
95#17988838C2211yescharacteristic, complemented
96#17988838C2211yescharacteristic, complemented
97#17988838C2211yescharacteristic, complemented
98#17988835C2211yescharacteristic, complemented
99#17988835C2211yescharacteristic, complemented
100#17988835C2211yescharacteristic, complemented
101#17988821C2211yescharacteristic, complemented
102#17988821C2211yescharacteristic, complemented
103#17988821C2211yescharacteristic, complemented
104#17988818C2211yescharacteristic, complemented
105#17988799C2211yescharacteristic
106#17988799C2211yescharacteristic
107#17988799C2211yescharacteristic, complemented
108#17988799C2211yescharacteristic, complemented
109#17988787C2211yescharacteristic, complemented
110#17988787C2211yescharacteristic, complemented
111#17988787C2211yescharacteristic, complemented
112#17988787C2211yescharacteristic, complemented
113#17988782C2211yescharacteristic, complemented
114#17988782C2211yescharacteristic, complemented
115#17988779C2211yescharacteristic
116#17988779C2211yescharacteristic, complemented
117#17988737C2211yescharacteristic
118#17988737C2211yescharacteristic
119#17988732C2211yescharacteristic, complemented
120#17988732C2211yescharacteristic, complemented
121#17988732C2211yescharacteristic, complemented
122#17988732C2211yescharacteristic, complemented
123#17988726C2211yescharacteristic, complemented
124#17988726C2211yescharacteristic, complemented
125#17988720C2211yescharacteristic
126#17988720C2211yescharacteristic
127#17988720C2211yescharacteristic
128#17988720C2211yescharacteristic
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#17988685C2211yescharacteristic
139#17988685C2211yescharacteristic
140#17988685C2211yescharacteristic
141#17988685C2211yescharacteristic
142#17988685C2211yescharacteristic, complemented
143#17988685C2211yescharacteristic, complemented
144#17988685C2211yescharacteristic, complemented
145#17988685C2211yescharacteristic, complemented
146#17988685C2211yescharacteristic, complemented
147C4×#11924015C2211yescharacteristic
148C4×#11924015C2211yescharacteristic
149C4×#11924015C2211yescharacteristic, complemented
150C4×#11924015C2211yescharacteristic, complemented
151C4×#11924015C2211yescharacteristic, complemented
152C4×#11924015C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic, complemented
154C4×#11924013C2211yescharacteristic
155C4×#11924013C2211yescharacteristic
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#17988627C2211yescharacteristic, complemented
170#17988623C2211yescharacteristic, complemented
171#17988596C2211yescharacteristic, complemented
172#17988591C2211yescharacteristic
173#17988591C2211yescharacteristic
174#17988588C2211yescharacteristic, complemented
175#17988583C2211yescharacteristic, complemented
176C2×#14556511C2211yescharacteristic
177#17988543C2211yescharacteristic, complemented
178#17988543C2211yescharacteristic, complemented
179C4×#11924012C2211yescharacteristic, complemented
180#559×C73—21no—
181#559×C73C2211yescharacteristic, complemented
182#557×C73C2211yescharacteristic, complemented
183#555×C73—21no—
184#555×C73C2211yescharacteristic, complemented
185#553×C73—21no—
186#553×C73C2211yescharacteristic, complemented
187#552×C73—21no—
188#552×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191#548×C73C2211yescharacteristic, complemented
192#542×C73—21no—
193#542×C73C2211yescharacteristic, complemented
194#540×C73—21no—
195#540×C73C2211yescharacteristic, complemented
196#529×C73—21no—
197#529×C73—21no—
198#529×C73C2211yescharacteristic
199#529×C73C2211yescharacteristic, complemented
200#520×C73C2211yescharacteristic, complemented
201#519×C73C2211yescharacteristic, complemented
202C4×#41×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C22×C4×D73—21no—
212#14556616—24no—
213#14556616—24no—
214C2×#11924015—24no—
215C2×#11924015C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924012C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924012C2311yescharacteristic
235C22×#10596831C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556588C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556579—21no—
246#14556577—21no—
247#14556577—21no—
248#14556576—21no—
249#14556576—21no—
250#14556576—21no—
251#14556576—21no—
252#14556573—21no—
253#14556573—21no—
254#14556569—21no—
255#14556569—21no—
256#14556567—21no—
257#14556566—21no—
258#14556566—21no—
259#14556566—21no—
260#14556566—21no—
261#14556566—21no—
262#14556566—21no—
263#14556565—21no—
264#14556565C2311yescharacteristic
265#14556565C2311yescharacteristic
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556565C2311yescharacteristic
270#14556564—21no—
271#14556564—21no—
272#14556564—21no—
273#14556564—21no—
274#14556563—21no—
275#14556563—21no—
276#14556562—21no—
277#14556561—21no—
278#14556561—21no—
279#14556561—21no—
280#14556561—21no—
281#14556561—21no—
282#14556561—21no—
283C4×D292—21no—
284C4×D292—21no—
285C4×D292—21no—
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289C4×D292C2311yescharacteristic
290C4×D292C2311yescharacteristic
291C4×D292C2311yescharacteristic
292C4×D292C2311yescharacteristic
293C4×D292C2311yescharacteristic
294C4×D292C2311yescharacteristic
295C4×D292C2311yescharacteristic
296#14556553—21no—
297#14556553—21no—
298#14556553—21no—
299#14556553—21no—
300#14556551—21no—
301#14556551—21no—
302#14556550C2311yescharacteristic
303#14556550C2311yescharacteristic
304#14556549—21no—
305C2×C4⋊Dic73C2311yescharacteristic
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#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#14556512C2311yescharacteristic
343#14556512C2311yescharacteristic
344#14556512C2311yescharacteristic
345#14556512C2311yescharacteristic
346#14556512C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
350#14556511C2311yescharacteristic
351#14556511C2311yescharacteristic
352#14556511C2311yescharacteristic
353#14556511C2311yescharacteristic
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×C73C2311yescharacteristic
383C2×#41×C73C2311yescharacteristic
384C22×Q8×C73C2311yescharacteristic
385C4⋊Q8×C73—21no—
386C4⋊Q8×C73C2311yescharacteristic
387#127×C73—21no—
388#127×C73C2311yescharacteristic
389#126×C73—21no—
390#126×C73—21no—
391#126×C73—21no—
392#126×C73—21no—
393#126×C73D411yescharacteristic
394#126×C73D411yescharacteristic
395#125×C73—21no—
396#125×C73—21no—
397#125×C73—21no—
398#125×C73D411yescharacteristic
399#125×C73C2311yescharacteristic
400#125×C73C2311yescharacteristic
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×C73D411yescharacteristic
408#124×C73C2311yescharacteristic
409#124×C73C2311yescharacteristic
410#123×C73—21no—
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×C73—21no—
418#123×C73D411yescharacteristic
419#123×C73D411yescharacteristic
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73—21no—
422C22⋊Q8×C73—21no—
423C22⋊Q8×C73D411yescharacteristic
424C22⋊Q8×C73C2311yescharacteristic
425C22⋊Q8×C73C2311yescharacteristic
426#121×C73—21no—
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×C73—21no—
434#121×C73D411yescharacteristic
435#121×C73C2311yescharacteristic
436#121×C73C2311yescharacteristic
437#121×C73C2311yescharacteristic
438#121×C73C2311yescharacteristic
439C4×Q8×C73—21no—
440C4×Q8×C73—21no—
441C4×Q8×C73—21no—
442C4×Q8×C73C2311yescharacteristic
443C4×Q8×C73C2311yescharacteristic
444C4×Q8×C73C2311yescharacteristic
445C4×Q8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73—21no—
468#117×C73—21no—
469#117×C73—21no—
470#117×C73—21no—
471#117×C73—21no—
472#117×C73—21no—
473#117×C73C2311yescharacteristic
474#117×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476#117×C73C2311yescharacteristic
477C2×C4⋊C4×C73—21no—
478C2×C4⋊C4×C73C2311yescharacteristic
479C2×C42×C73—21no—
480C2×C42×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—82no—
485#11924028—82no—
486C2×Dic146—21no—
487C2×D292—22no—
488C2×D292—22no—
489C2×D292—22no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292—41no—
501C2×D292—41no—
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512D4×D73—82no—
513D4×D73—82no—
514D4×D73—82no—
515C22×Dic73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—82no—
527#11924015—22no—
528#11924015—22no—
529#11924015—22no—
530#11924015—22no—
531#11924015—22no—
532#11924015—41no—
533#11924015—41no—
534#11924015#4114yescomplemented
535#11924013—22no—
536#11924013—22no—
537#11924013—22no—
538#11924013—22no—
539#11924013—41no—
540#11924013—41no—
541#11924013—41no—
542#11924013—41no—
543#11924012—22no—
544#11924012—22no—
545#11924012—41no—
546#11924012—41no—
547C2×#10596831—22no—
548C2×#10596831—41no—
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567C22⋊Dic73—21no—
568C22⋊Dic73—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—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585C4×Dic73—21no—
586C4×Dic73—21no—
587#41×C73—22no—
588#41×C73—22no—
589#41×C73—41no—
590#41×C73—41no—
591C2×Q8×C73—21no—
592C2×Q8×C73—21no—
593C2×Q8×C73—22no—
594C2×Q8×C73—41no—
595C2×Q8×C73C2×D411yescharacteristic
596C2×Q8×C73C2411yescharacteristic
597C2×Q8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
607C2×D4×C73C2×D411yescharacteristic
608C2×D4×C73C2×D411yescharacteristic
609C2×D4×C73C2411yescharacteristic
610C2×D4×C73C2411yescharacteristic
611C22×C4×C73—21no—
612C22×C4×C73—21no—
613C22×C4×C73—21no—
614C22×C4×C73—21no—
615C22×C4×C73—21no—
616C22×C4×C73—21no—
617C22×C4×C73—21no—
618C22×C4×C73—21no—
619C22×C4×C73C2×D411yescharacteristic
620C22×C4×C73C2×D411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C22×C4×C73C2411yescharacteristic
623C22×C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
639C4⋊C4×C73C2×D411yescharacteristic
640C4⋊C4×C73C2×D411yescharacteristic
641C4⋊C4×C73C2×D411yescharacteristic
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
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
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
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×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—41no—
714Q8×C73—42no—
715Q8×C73—81no—
716Q8×C73C2×#4112yes—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—41no—
722D4×C73—41no—
723D4×C73—41no—
724D4×C73—42no—
725D4×C73—42no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
731D4×C73—81no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
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—41no—
745C2×C4×C73—41no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
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×C73C2511yescharacteristic
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—81no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—42no—
785D292—42no—
786D292—42no—
787D292—42no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292C2×#4112yes—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
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—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73C23×D411yescharacteristic
829C2×D73—22no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
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—22no—
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—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—42no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524D7311yescharacteristic, complemented
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—21no—
916#559C2×D7311yescharacteristic, complemented
917#557C2×D7311yescharacteristic, complemented
918#555—21no—
919#555—731no—
920#555C2×D7311yescharacteristic, complemented
921#554—731no—
922#553—21no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553C2×D7311yescharacteristic, complemented
927#552—21no—
928#552C2×D7311yescharacteristic, complemented
929#550—731no—
930#550C2×D7311yescharacteristic, complemented
931#548C2×D7311yescharacteristic, complemented
932#548C2×D7311yescharacteristic, complemented
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—21no—
940#542C2×D7311yescharacteristic, complemented
941#540—21no—
942#540—731no—
943#540—731no—
944#540C2×D7311yescharacteristic, complemented
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—21no—
949#529—21no—
950#529C2×D7311yescharacteristic
951#529C2×D7311yescharacteristic, complemented
952#525—1461no—
953C2×#121—1461no—
954#520C2×D7311yescharacteristic, complemented
955#519C2×D7311yescharacteristic, complemented
956#518—731no—
957#518—731no—
958C4×#41C2×D7311yescharacteristic, complemented
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—1461no—
1084C2×#41—1461no—
1085C2×#41C22×D7311yescharacteristic
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8C22×D7311yescharacteristic
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—1464no—
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×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—21no—
1121C4⋊Q8—731no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—21no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127C22×D7311yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—1461no—
1133#126—1461no—
1134#126C22⋊D7311yescharacteristic
1135#126C22⋊D7311yescharacteristic
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125—731no—
1140#125—731no—
1141#125C22⋊D7311yescharacteristic
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—21no—
1148#124—21no—
1149#124—21no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124C22⋊D7311yescharacteristic
1154#124C22×D7311yescharacteristic
1155#124C22×D7311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123C22⋊D7311yescharacteristic
1171#123C22⋊D7311yescharacteristic
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8C22⋊D7311yescharacteristic
1179C22⋊Q8C22×D7311yescharacteristic
1180C22⋊Q8C22×D7311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121C22⋊D7311yescharacteristic
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—21no—
1223C4×Q8C22×D7311yescharacteristic
1224C4×Q8C22×D7311yescharacteristic
1225C4×Q8C22×D7311yescharacteristic
1226C4×Q8C22×D7311yescharacteristic
1227C4×Q8C22×D7311yescharacteristic
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117C22×D7311yescharacteristic
1277#117C22×D7311yescharacteristic
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—21no—
1290C2×C42C22×D7311yescharacteristic
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—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—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#102—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—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—5842no—
1369#41—5842no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—1461no—
1375C2×Q8C2×C22⋊D7311yescharacteristic
1376C2×Q8C23×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—5842no—
1390C2×D4—5842no—
1391C2×D4—5842no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1462no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
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×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C2×C22⋊D7311yescharacteristic
1415C2×D4C2×C22⋊D7311yescharacteristic
1416C2×D4C2×C22⋊D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—5842no—
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×C4—1461no—
1439C22×C4C2×C22⋊D7311yescharacteristic
1440C22×C4C2×C22⋊D7311yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—2921no—
1445SD16—2921no—
1446SD16—734no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8—1462no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
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⋊C4C2×C22⋊D7311yescharacteristic
1506C4⋊C4C2×C22⋊D7311yescharacteristic
1507C4⋊C4C2×C22⋊D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
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—1461no—
1529C22⋊C4—1461no—
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⋊C4C2×C22⋊D7311yescharacteristic
1547C22⋊C4C2×C22⋊D7311yescharacteristic
1548C22⋊C4C2×C22⋊D7311yescharacteristic
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
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—1461no—
1565C42—1461no—
1566C42C2×C22⋊D7311yescharacteristic
1567C42C2×C22⋊D7311yescharacteristic
1568C42C23×D7311yescharacteristic
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—5841no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—1461no—
1584C23—1461no—
1585C23—1461no—
1586C23—1461no—
1587C23C22×C22⋊D7311yescharacteristic
1588C23C22×C22⋊D7311yescharacteristic
1589C23C22×C22⋊D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—41no—
1594Q8—42no—
1595Q8—81no—
1596Q8—5841no—
1597Q8#41×D7312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—42no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—732no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
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—21no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
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×C4C22×C22⋊D7311yescharacteristic
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×C4C24×D7311yescharacteristic
1685C8—732no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—5844no—
1720C22—11682no—
1721C22—11682no—
1722C22—1462no—
1723C22C23×C22⋊D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—22no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—2921no—
1742C4—2921no—
1743C4—2921no—
1744C4—2921no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—81no—
1751C2—81no—
1752C2—2922no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2#41×C22⋊D7311yescharacteristic
1757C2#2262471011yescharacteristic
1758C2#2262471011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3524C2
socleC22×C73C23×D4
hypercenter#3524D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #22623965C2semidirect
2. #22622969C2semidirect
3. #22622870C2semidirect
4. #22622678C2semidirect
5. #22622660C2semidirect
6. #22622491C2semidirect
7. #22622431C2semidirect
8. #22622425C2semidirect
9. #22622184C2semidirect
10. #22622167C2semidirect
11. #22622117C2semidirect
12. #22622066C2semidirect
13. #22621946C2semidirect
14. #22621937C2semidirect
15. #22621551C2semidirect
16. #22621427C2semidirect
17. #22621427C2semidirect
18. #22620608C2semidirect
19. #22620575C2semidirect
20. #22620527C2semidirect
21. #22620222C2semidirect
22. #22620169C2semidirect
23. #22620130C2semidirect
24. #22620109C2semidirect
25. #22620082C2semidirect
26. #22620065C2semidirect
27. #22618918C2semidirect
28. #22618790C2semidirect
29. #22618759C2semidirect
30. C4×#14556616C2semidirect
31. C73×#3524C2semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
60. #17988977C22semidirect
61. #17988977C22semidirect
62. #17988963C22semidirect
63. #17988953C22semidirect
64. #17988953C22semidirect
65. #17988951C22semidirect
66. #17988946C22semidirect
67. #17988941C22semidirect
68. #17988935C22semidirect
69. #17988925C22semidirect
70. #17988915C22semidirect
71. #17988911C22semidirect
72. #17988911C22semidirect
73. #17988911C22semidirect
74. #17988911C22semidirect
75. #17988908C22semidirect
76. #17988908C22semidirect
77. #17988908C22semidirect
78. #17988905C22semidirect
79. #17988900C22semidirect
80. #17988898C22semidirect
81. #17988894C22semidirect
82. #17988894C22semidirect
83. #17988894C22semidirect
84. #17988887C22semidirect
87. #17988884C22semidirect
88. #17988884C22semidirect
90. #17988872C22semidirect
91. #17988867C22semidirect
92. #17988864C22semidirect
93. #17988838C22semidirect
94. #17988838C22semidirect
95. #17988838C22semidirect
96. #17988838C22semidirect
97. #17988838C22semidirect
98. #17988835C22semidirect
99. #17988835C22semidirect
100. #17988835C22semidirect
101. #17988821C22semidirect
102. #17988821C22semidirect
103. #17988821C22semidirect
104. #17988818C22semidirect
107. #17988799C22semidirect
108. #17988799C22semidirect
109. #17988787C22semidirect
110. #17988787C22semidirect
111. #17988787C22semidirect
112. #17988787C22semidirect
113. #17988782C22semidirect
114. #17988782C22semidirect
116. #17988779C22semidirect
119. #17988732C22semidirect
120. #17988732C22semidirect
121. #17988732C22semidirect
122. #17988732C22semidirect
123. #17988726C22semidirect
124. #17988726C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
133. #17988697C22semidirect
134. #17988697C22semidirect
135. #17988697C22semidirect
136. #17988697C22semidirect
137. #17988697C22semidirect
142. #17988685C22semidirect
143. #17988685C22semidirect
144. #17988685C22semidirect
145. #17988685C22semidirect
146. #17988685C22semidirect
149. C4×#11924015C22semidirect
150. C4×#11924015C22semidirect
151. C4×#11924015C22semidirect
152. C4×#11924015C22semidirect
153. C4×#11924015C22semidirect
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. #17988627C22semidirect
170. #17988623C22semidirect
171. #17988596C22semidirect
174. #17988588C22semidirect
175. #17988583C22semidirect
177. #17988543C22semidirect
178. #17988543C22semidirect
179. C4×#11924012C22semidirect
181. #559×C73C22semidirect
182. #557×C73C22semidirect
184. #555×C73C22semidirect
186. #553×C73C22semidirect
188. #552×C73C22semidirect
189. #550×C73C22semidirect
190. #548×C73C22semidirect
191. #548×C73C22semidirect
193. #542×C73C22semidirect
195. #540×C73C22semidirect
199. #529×C73C22semidirect
200. #520×C73C22semidirect
201. #519×C73C22semidirect
202. C4×#41×C73C22semidirect
534. #11924015#41semidirect
880. #3524D73semidirect
911. C73#61504semidirect
916. #559C2×D73semidirect
917. #557C2×D73semidirect
920. #555C2×D73semidirect
926. #553C2×D73semidirect
928. #552C2×D73semidirect
930. #550C2×D73semidirect
931. #548C2×D73semidirect
932. #548C2×D73semidirect
940. #542C2×D73semidirect
944. #540C2×D73semidirect
951. #529C2×D73semidirect
954. #520C2×D73semidirect
955. #519C2×D73semidirect
958. C4×#41C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239652
#226229692
#226228702
#226226782
#226226602
#226224912
#226224312
#226224252
#226221842
#226221672
#226221172
#226220662
#226219462
#226219372
#226215512
#226214272
#226206082
#226205752
#226205272
#226202222
#226201692
#226201302
#226201092
#226200822
#226200652
#226189182
#226187902
#226187592
C4×#145566162
C73×#35242
#6150473