Finite Group Databasebeta

← #33978579

Subgroups — #33978579

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic, complemented
2#22623546C211yesmaximal, characteristic, complemented
3#22622985C211yesmaximal, characteristic, complemented
4#22622963C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622212C211yesmaximal, characteristic, complemented
8#22622160C211yesmaximal, characteristic, complemented
9#22622002C211yesmaximal, characteristic, complemented
10#22622000C211yesmaximal, characteristic, complemented
11#22621972C211yesmaximal, characteristic, complemented
12#22621970C211yesmaximal, characteristic, complemented
13#22621575C211yesmaximal, characteristic, complemented
14#22621524C211yesmaximal, characteristic, complemented
15#22621488C211yesmaximal, characteristic, complemented
16#22621484C211yesmaximal, characteristic, complemented
17#22621459C211yesmaximal, characteristic, complemented
18#22621458C211yesmaximal, characteristic, complemented
19#22621304C211yesmaximal, characteristic, complemented
20#22621303C211yesmaximal, characteristic, complemented
21#22621267C211yesmaximal, characteristic, complemented
22#22620936C211yesmaximal, characteristic, complemented
23#22620932C211yesmaximal, characteristic, complemented
24#22620886C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22619954C211yesmaximal, characteristic, complemented
27#22619425C211yesmaximal, characteristic, complemented
28#22619420C211yesmaximal, characteristic, complemented
29#22619383C211yesmaximal, characteristic, complemented
30#22619050C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic, complemented
33C2×#14556620C2211yescharacteristic, complemented
34C2×#14556616C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556610C2211yescharacteristic, complemented
38#17989320C2211yescharacteristic
39#17989315C2211yescharacteristic, complemented
40#17989310C2211yescharacteristic, complemented
41#17989309C2211yescharacteristic
42#17989305C2211yescharacteristic
43#17989305C2211yescharacteristic, complemented
44#17989300—21no—
45#17989277—21no—
46#17989270—21no—
47#17989270—21no—
48#17989261—21no—
49#17989260—21no—
50D4×Dic146C2211yescharacteristic, complemented
51#17989250C2211yescharacteristic
52#17989249C2211yescharacteristic
53#17989246—21no—
54#17989243C2211yescharacteristic
55#17989241C2211yescharacteristic, complemented
56#17989236C2211yescharacteristic
57#17989236C2211yescharacteristic, complemented
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989203—21no—
63#17989176—21no—
64#17989170—21no—
65#17989144C2211yescharacteristic, complemented
66#17989141C2211yescharacteristic, complemented
67#17989141C2211yescharacteristic, complemented
68#17989136C2211yescharacteristic
69#17989122C2211yescharacteristic
70#17989122C2211yescharacteristic
71#17989121—21no—
72#17989117—21no—
73#17989117—21no—
74C2×#14556579C2211yescharacteristic
75#124×D73C2211yescharacteristic
76#17989059—21no—
77C4×#11924028C2211yescharacteristic
78C4×#11924027C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic, complemented
80C2×C4×Dic146—21no—
81#17988981C2211yescharacteristic
82#17988981C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic
84#17988978C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic
87#17988948C2211yescharacteristic
88#17988947C2211yescharacteristic
89#17988947C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic
93#17988931C2211yescharacteristic, complemented
94#17988930C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic
96#17988913C2211yescharacteristic
97#17988891C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988882C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988877C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic
105#17988846C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988843C2211yescharacteristic, complemented
109#17988836C2211yescharacteristic
110#17988834C2211yescharacteristic
111#17988831C2211yescharacteristic
112#17988831C2211yescharacteristic
113#17988829C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic
116#17988817C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988810C2211yescharacteristic
119#17988810C2211yescharacteristic
120#17988810C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic
123#17988809C2211yescharacteristic
124#17988809C2211yescharacteristic, complemented
125#17988809C2211yescharacteristic, complemented
126#17988808C2211yescharacteristic, complemented
127#17988806C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic
130#17988802C2211yescharacteristic
131#17988802C2211yescharacteristic
132#17988802C2211yescharacteristic, complemented
133#17988802C2211yescharacteristic, complemented
134#17988800C2211yescharacteristic, complemented
135#17988797C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988796C2211yescharacteristic, complemented
138#17988796C2211yescharacteristic, complemented
139#17988792C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic
141#17988791C2211yescharacteristic, complemented
142#17988790C2211yescharacteristic, complemented
143#17988786C2211yescharacteristic
144#17988780C2211yescharacteristic
145#17988752C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988750C2211yescharacteristic, complemented
149#17988748C2211yescharacteristic, complemented
150#17988746C2211yescharacteristic, complemented
151#17988745C2211yescharacteristic, complemented
152#17988745C2211yescharacteristic, complemented
153#17988744C2211yescharacteristic, complemented
154#17988741C2211yescharacteristic, complemented
155#17988740C2211yescharacteristic
156#17988740C2211yescharacteristic
157#17988739C2211yescharacteristic
158#17988736C2211yescharacteristic
159#17988733C2211yescharacteristic
160#17988733C2211yescharacteristic
161#17988715C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988693C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988662C2211yescharacteristic
172#17988662C2211yescharacteristic
173#17988661C2211yescharacteristic, complemented
174#17988661C2211yescharacteristic, complemented
175#17988660C2211yescharacteristic, complemented
176#17988660C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988611C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988595C2211yescharacteristic, complemented
183#17988594C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C22×Dic146C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556621—42no—
215#14556620—42no—
216#14556616—42no—
217#14556615—42no—
218#14556612—42no—
219#14556610—42no—
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×Dic292C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924012C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556590—21no—
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556589C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556585—21no—
261#14556585—21no—
262#14556585—21no—
263#14556584—21no—
264#14556584—21no—
265#14556583—21no—
266#14556583—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556580C2311yescharacteristic
272#14556579—21no—
273#14556579—21no—
274#14556579—21no—
275#14556579—21no—
276#14556579C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556578C2311yescharacteristic
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556575—21no—
292#14556575—21no—
293#14556574—21no—
294#14556574—21no—
295#14556574—21no—
296#14556573—21no—
297#14556572—21no—
298#14556572—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556570—21no—
305#14556570—21no—
306#14556570C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556566—21no—
319#14556566—21no—
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556559—21no—
334C4×Dic146—21no—
335C4×Dic146—21no—
336C4×Dic146—21no—
337C4×Dic146—21no—
338C4×Dic146—21no—
339C4×Dic146—21no—
340C4×Dic146—21no—
341C4×Dic146D411yescharacteristic
342C4×Dic146C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345#14556556C2311yescharacteristic
346#14556556C2311yescharacteristic
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349C4×D292—21no—
350C4×D292D411yescharacteristic
351C4×D292C2311yescharacteristic
352D4×Dic73—21no—
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553—21no—
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73D411yescharacteristic
363C4×C22⋊D73D411yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550—21no—
372#14556550D411yescharacteristic
373#14556549—21no—
374#14556549—21no—
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556548—21no—
380#14556548D411yescharacteristic
381#14556548D411yescharacteristic
382#14556547—21no—
383#14556547—21no—
384C2×C4⋊Dic73—21no—
385C2×#11924007—21no—
386C2×#11924007—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C2×C4×Dic73—21no—
394C2×C4×Dic73—21no—
395C42×D73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—42no—
489#11924027—22no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—41no—
501C2×Dic146—41no—
502C2×Dic146—44no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507C2×Dic146C2411yescharacteristic
508Q8×D73—41no—
509Q8×D73—41no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—41no—
515C2×D292—41no—
516C2×D292C2×D411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—44no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546Dic292—41no—
547Dic292—41no—
548Dic292—41no—
549Dic292—41no—
550#11924018—41no—
551#11924018—41no—
552#11924018—41no—
553#11924018—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924017—41no—
558#11924016—22no—
559#11924016—22no—
560#11924016—41no—
561#11924016—41no—
562#11924015—41no—
563#11924015—41no—
564#11924013—22no—
565#11924013—22no—
566#11924012—41no—
567#11924012—41no—
568#11924011—41no—
569#11924011—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—41no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657#41×C73—22no—
658#41×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673SD16×C73—22no—
674SD16×C73—41no—
675D8×C73—22no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—42no—
727D4×C73—42no—
728D4×C73H(5,𝔽2)12yes—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—41no—
738C2×C4×C73—41no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—81no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—41no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—41no—
780D292—42no—
781D292—81no—
782D292—81no—
783D292—81no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—22no—
789C4×D73—41no—
790C4×D73—41no—
791C4×D73—41no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796Dic146—22no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—42no—
806Dic146—42no—
807Dic146—42no—
808Dic146—81no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—22no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73C23×D411yescharacteristic
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—162no—
841C2×D73—162no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C2×H(5,𝔽2)11yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73#57512yes—
867#61973—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—42no—
870C2×C73—81no—
871C2×C73#348811yescharacteristic
872C2×C73C2×#57511yescharacteristic
873C2×C73#358611yescharacteristic
874D73—41no—
875D73—41no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3400—731no—
881#3398—731no—
882#3373—731no—
883#3367—731no—
884#3328—731no—
885#3324—731no—
886#3313—731no—
887#3313—731no—
888#3311—731no—
889#3311—731no—
890#3276—731no—
891#3272—731no—
892#3269—731no—
893#3269—731no—
894#3267—731no—
895#3267—731no—
896#3252—731no—
897#3252—731no—
898#3248—731no—
899#3215—731no—
900#3215—731no—
901#3210—731no—
902#3111—731no—
903#3111D7311yescharacteristic, complemented
904#3102—731no—
905#3040—731no—
906#3040—731no—
907#3035—731no—
908#2989—731no—
909C73#6197311yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C2×#135—731no—
915C2×#135—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—731no—
921#556—731no—
922#555—1461no—
923#552—1461no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—1461no—
933#547—731no—
934#547—731no—
935#547—731no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—731no—
945#533—731no—
946#532—731no—
947#529—731no—
948#529—731no—
949#529—1461no—
950#529—1461no—
951#529—1461no—
952#529C2×D7311yescharacteristic
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41C2×D7311yescharacteristic, complemented
960C2×C4×Q8—1461no—
961#497—731no—
962#497—731no—
963#497—731no—
964#497—731no—
965#494—731no—
966#492—731no—
967#489—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#487—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485C2×D7311yescharacteristic, complemented
976#482—731no—
977#482—731no—
978#482C2×D7311yescharacteristic
979#479—731no—
980#479—731no—
981#479C2×D7311yescharacteristic, complemented
982#478C2×D7311yescharacteristic, complemented
983#477—731no—
984#477—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#470—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#467—731no—
998#467—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464C2×D7311yescharacteristic, complemented
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463C2×D7311yescharacteristic, complemented
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452—731no—
1037#452C2×D7311yescharacteristic, complemented
1038#451—731no—
1039#451—731no—
1040#451—731no—
1041#451—731no—
1042#450—731no—
1043#450—731no—
1044#450—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449C2×D7311yescharacteristic
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#442C2×D7311yescharacteristic, complemented
1053#441—731no—
1054#441C2×D7311yescharacteristic, complemented
1055#440—731no—
1056#440—731no—
1057#440C2×D7311yescharacteristic, complemented
1058#440C2×D7311yescharacteristic, complemented
1059C4×Q16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#432—731no—
1070#432C2×D7311yescharacteristic, complemented
1071#431—731no—
1072#423—731no—
1073#423—731no—
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#419—731no—
1077#418—731no—
1078#418—731no—
1079#416—731no—
1080#416—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—1461no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#137—2922no—
1094#137—2922no—
1095AGL(1,ℤ/8)—2922no—
1096AGL(1,ℤ/8)—2922no—
1097#135—2922no—
1098#135—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16—731no—
1105C2×Q16—731no—
1106C2×Q16—731no—
1107C2×Q16C22×D7311yescharacteristic
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136C4⋊Q8—1461no—
1137#127—731no—
1138#126—21no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125C22×D7311yescharacteristic
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—731no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—731no—
1207#121—731no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—1461no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4C22×D7311yescharacteristic
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117C22×D7311yescharacteristic
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—21no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42C22×D7311yescharacteristic
1300#107—731no—
1301#107—731no—
1302#107C22×D7311yescharacteristic
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356#97—731no—
1357#97—731no—
1358#97C22×D7311yescharacteristic
1359#97C22×D7311yescharacteristic
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—41no—
1366#41—2922no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—2921no—
1371#41—2921no—
1372#41—2921no—
1373#41—1462no—
1374#41—1462no—
1375C2×Q8—2921no—
1376C2×Q8—2921no—
1377C2×Q8—2924no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—731no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—731no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—2924no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
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×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4D4×D7311yescharacteristic
1437C22×C4D4×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—2921no—
1448SD16—22no—
1449SD16—41no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—22no—
1461D8—1462no—
1462D8—1462no—
1463M16—2921no—
1464M16—2921no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
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—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42D4×D7311yescharacteristic
1581C42D4×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—2922no—
1587C23—2922no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—731no—
1594C23—1461no—
1595C23—1461no—
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—2922no—
1602Q8—2922no—
1603Q8—2922no—
1604Q8—5841no—
1605Q8—5841no—
1606Q8—1462no—
1607Q8—1461no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—2921no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2921no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—1462no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4#1455663712yes—
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—41no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—2921no—
1653C2×C4—2921no—
1654C2×C4—2921no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1462no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—11682no—
1712C22—11682no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—732no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663711yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—2921no—
1749C2—2921no—
1750C2—5841no—
1751C2—5841no—
1752C2#2262359211yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#61973
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. #22623546C2semidirect
3. #22622985C2semidirect
4. #22622963C2semidirect
5. #22622724C2semidirect
6. #22622650C2semidirect
7. #22622212C2semidirect
8. #22622160C2semidirect
9. #22622002C2semidirect
10. #22622000C2semidirect
11. #22621972C2semidirect
12. #22621970C2semidirect
13. #22621575C2semidirect
14. #22621524C2semidirect
15. #22621488C2semidirect
16. #22621484C2semidirect
17. #22621459C2semidirect
18. #22621458C2semidirect
19. #22621304C2semidirect
20. #22621303C2semidirect
21. #22621267C2semidirect
22. #22620936C2semidirect
23. #22620932C2semidirect
24. #22620886C2semidirect
25. #22620045C2semidirect
26. #22619954C2semidirect
27. #22619425C2semidirect
28. #22619420C2semidirect
29. #22619383C2semidirect
30. #22619050C2semidirect
31. C73×#3111C2semidirect
32. C2×#14556621C22semidirect
33. C2×#14556620C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556610C22semidirect
39. #17989315C22semidirect
40. #17989310C22semidirect
43. #17989305C22semidirect
50. D4×Dic146C22semidirect
55. #17989241C22semidirect
57. #17989236C22semidirect
65. #17989144C22semidirect
66. #17989141C22semidirect
67. #17989141C22semidirect
78. C4×#11924027C22semidirect
79. C4×#11924027C22semidirect
82. #17988981C22semidirect
84. #17988978C22semidirect
85. #17988965C22semidirect
89. #17988947C22semidirect
90. #17988945C22semidirect
91. #17988936C22semidirect
93. #17988931C22semidirect
94. #17988930C22semidirect
97. #17988891C22semidirect
98. #17988891C22semidirect
99. #17988882C22semidirect
100. #17988881C22semidirect
101. #17988877C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
105. #17988846C22semidirect
106. #17988844C22semidirect
107. #17988843C22semidirect
108. #17988843C22semidirect
113. #17988829C22semidirect
114. #17988827C22semidirect
120. #17988810C22semidirect
121. #17988810C22semidirect
124. #17988809C22semidirect
125. #17988809C22semidirect
126. #17988808C22semidirect
127. #17988806C22semidirect
128. #17988806C22semidirect
132. #17988802C22semidirect
133. #17988802C22semidirect
134. #17988800C22semidirect
135. #17988797C22semidirect
136. #17988796C22semidirect
137. #17988796C22semidirect
138. #17988796C22semidirect
139. #17988792C22semidirect
141. #17988791C22semidirect
142. #17988790C22semidirect
145. #17988752C22semidirect
146. #17988750C22semidirect
147. #17988750C22semidirect
148. #17988750C22semidirect
149. #17988748C22semidirect
150. #17988746C22semidirect
151. #17988745C22semidirect
152. #17988745C22semidirect
153. #17988744C22semidirect
154. #17988741C22semidirect
161. #17988715C22semidirect
162. #17988715C22semidirect
163. #17988696C22semidirect
164. #17988693C22semidirect
165. #17988686C22semidirect
166. #17988684C22semidirect
167. #17988681C22semidirect
168. #17988678C22semidirect
173. #17988661C22semidirect
174. #17988661C22semidirect
175. #17988660C22semidirect
176. #17988660C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988611C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988595C22semidirect
183. #17988594C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
189. C4×#41×C73C22semidirect
190. #485×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. #442×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
903. #3111D73semidirect
909. C73#61973semidirect
959. C4×#41C2×D73semidirect
975. #485C2×D73semidirect
981. #479C2×D73semidirect
982. #478C2×D73semidirect
1013. #464C2×D73semidirect
1020. #463C2×D73semidirect
1037. #452C2×D73semidirect
1052. #442C2×D73semidirect
1054. #441C2×D73semidirect
1057. #440C2×D73semidirect
1058. #440C2×D73semidirect
1070. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
#226235462
#226229852
#226229632
#226227242
#226226502
#226222122
#226221602
#226220022
#226220002
#226219722
#226219702
#226215752
#226215242
#226214882
#226214842
#226214592
#226214582
#226213042
#226213032
#226212672
#226209362
#226209322
#226208862
#226200452
#226199542
#226194252
#226194202
#226193832
#226190502
C73×#31112
#6197373