Finite Group Databasebeta

← #33956713

Subgroups — #33956713

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623264C211yesmaximal, characteristic, complemented
2#22623261C211yesmaximal, characteristic, complemented
3#22620844C211yesmaximal, characteristic, complemented
4#22620841C211yesmaximal, characteristic, complemented
5#22620835C211yesmaximal, characteristic, complemented
6#22620831C211yesmaximal, characteristic, complemented
7#22620825C211yesmaximal, characteristic, complemented
8#22620820C211yesmaximal, characteristic, complemented
9#22620819C211yesmaximal, characteristic, complemented
10#22620818C211yesmaximal, characteristic, complemented
11#22620811C211yesmaximal, characteristic, complemented
12#22620805C211yesmaximal, characteristic, complemented
13#22620802C211yesmaximal, characteristic, complemented
14#22620795C211yesmaximal, characteristic, complemented
15#22620790C211yesmaximal, characteristic, complemented
16#22620789C211yesmaximal, characteristic, complemented
17#22620788C211yesmaximal, characteristic, complemented
18#22620781C211yesmaximal, characteristic, complemented
19#22619848C211yesmaximal, characteristic, complemented
20#22619848C211yesmaximal, characteristic, complemented
21#22619844C211yesmaximal, characteristic, complemented
22#22619541C211yesmaximal, characteristic, complemented
23#22619539C211yesmaximal, characteristic, complemented
24#22619513C211yesmaximal, characteristic, complemented
25#22619511C211yesmaximal, characteristic, complemented
26#22619153C211yesmaximal, characteristic, complemented
27#22619151C211yesmaximal, characteristic, complemented
28#22619151C211yesmaximal, characteristic, complemented
29#22619147C211yesmaximal, characteristic, complemented
30C2×#17988552C211yesmaximal, characteristic, complemented
31C73×#3091C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C22×#11924028C2211yescharacteristic, complemented
34C2×#41×D73C2211yescharacteristic, complemented
35C2×#14556613C2211yescharacteristic
36C2×#14556613C2211yescharacteristic
37C2×#14556611C2211yescharacteristic
38C2×#14556611C2211yescharacteristic
39C22×#11924011C2211yescharacteristic, complemented
40C22×C8×D73C2211yescharacteristic, complemented
41#17989168C2211yescharacteristic
42#17989168C2211yescharacteristic
43#17989168C2211yescharacteristic, complemented
44#17989168C2211yescharacteristic, complemented
45#17989167C2211yescharacteristic
46#17989167C2211yescharacteristic, complemented
47#17989166C2211yescharacteristic
48#17989166C2211yescharacteristic, complemented
49#17989163—21no—
50#17989163C2211yescharacteristic
51#17989163C2211yescharacteristic, complemented
52#17989160C2211yescharacteristic
53#17989160C2211yescharacteristic, complemented
54#17989159—21no—
55#17989156—21no—
56#17989156C2211yescharacteristic
57#17989156C2211yescharacteristic, complemented
58#17989153C2211yescharacteristic
59#17989153C2211yescharacteristic, complemented
60#17989152—21no—
61#17989149—21no—
62#17989149—21no—
63#17989148—21no—
64#17989147—21no—
65#17989137—21no—
66#17989137—21no—
67#17989134—21no—
68#17989134—21no—
69#17989099—21no—
70#17989099—21no—
71#17989099C2211yescharacteristic
72#17989099C2211yescharacteristic
73#17989099C2211yescharacteristic, complemented
74#17989099C2211yescharacteristic, complemented
75#17989099C2211yescharacteristic, complemented
76#17989098C2211yescharacteristic
77#17989096—21no—
78#17989096—21no—
79#17989094C2211yescharacteristic, complemented
80#117×D73C2211yescharacteristic, complemented
81#17988931C2211yescharacteristic, complemented
82#17988931C2211yescharacteristic, complemented
83#17988930C2211yescharacteristic, complemented
84#17988930C2211yescharacteristic, complemented
85#17988928C2211yescharacteristic, complemented
86#17988928C2211yescharacteristic, complemented
87#17988924C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic, complemented
99#17988907C2211yescharacteristic, complemented
100#17988907C2211yescharacteristic, complemented
101#17988905C2211yescharacteristic, complemented
102#17988902C2211yescharacteristic, complemented
103#17988902C2211yescharacteristic, complemented
104#17988900C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988846C2211yescharacteristic, complemented
107#17988844C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic, complemented
114#17988836C2211yescharacteristic, complemented
115#17988834C2211yescharacteristic, complemented
116#17988834C2211yescharacteristic, complemented
117#17988834C2211yescharacteristic, complemented
118#17988834C2211yescharacteristic, complemented
119#17988832C2211yescharacteristic, complemented
120#17988832C2211yescharacteristic, complemented
121#17988829C2211yescharacteristic, complemented
122#17988829C2211yescharacteristic, complemented
123#17988827C2211yescharacteristic, complemented
124#17988827C2211yescharacteristic, complemented
125#17988824C2211yescharacteristic, complemented
126#17988824C2211yescharacteristic, complemented
127#17988822C2211yescharacteristic, complemented
128#17988822C2211yescharacteristic, complemented
129#17988819C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988817C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic, complemented
133#17988817C2211yescharacteristic, complemented
134#17988817C2211yescharacteristic, complemented
135#17988815C2211yescharacteristic, complemented
136#17988815C2211yescharacteristic, complemented
137#17988752C2211yescharacteristic, complemented
138#17988752C2211yescharacteristic, complemented
139#17988751C2211yescharacteristic, complemented
140#17988751C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988747C2211yescharacteristic, complemented
144#17988747C2211yescharacteristic, complemented
145#17988745C2211yescharacteristic, complemented
146#17988744C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988742C2211yescharacteristic, complemented
149#17988740C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988739C2211yescharacteristic, complemented
152#17988737C2211yescharacteristic, complemented
153#17988735C2211yescharacteristic, complemented
154#17988735C2211yescharacteristic, complemented
155#17988734C2211yescharacteristic, complemented
156#17988734C2211yescharacteristic, complemented
157#17988733C2211yescharacteristic, complemented
158#17988733C2211yescharacteristic, complemented
159#17988730C2211yescharacteristic, complemented
160#17988730C2211yescharacteristic, complemented
161#17988728C2211yescharacteristic, complemented
162#17988727C2211yescharacteristic, complemented
163#17988727C2211yescharacteristic, complemented
164#17988725C2211yescharacteristic, complemented
165#17988723C2211yescharacteristic, complemented
166#17988722C2211yescharacteristic, complemented
167#17988722C2211yescharacteristic, complemented
168#17988720C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170#17988623C2211yescharacteristic, complemented
171#17988584C2211yescharacteristic, complemented
172#17988584C2211yescharacteristic, complemented
173#17988581C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176#17988581C2211yescharacteristic, complemented
177#17988552C2211yescharacteristic
178#17988552C2211yescharacteristic
179#17988552C2211yescharacteristic, complemented
180#17988552C2211yescharacteristic, complemented
181#17988552C2211yescharacteristic, complemented
182#17988552C2211yescharacteristic, complemented
183#17988552C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185C2×C22⋊#10596831C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189C2×#117×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic, complemented
197#480×C73C2211yescharacteristic, complemented
198#427×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—42no—
208C2×#11924028—42no—
209C2×#11924028—42no—
210C2×#11924028—42no—
211C2×#11924028D411yescharacteristic
212C2×#11924028D411yescharacteristic
213C2×#11924028D411yescharacteristic
214C2×#11924028D411yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C2×#11924028C2311yescharacteristic
218C2×#11924028C2311yescharacteristic
219C2×#11924028C2311yescharacteristic
220C2×#11924028C2311yescharacteristic
221C2×#11924028C2311yescharacteristic
222C2×#11924028C2311yescharacteristic
223C2×#11924028C2311yescharacteristic
224C2×#11924027—21no—
225C2×#11924027C2311yescharacteristic
226#41×D73—42no—
227#41×D73—42no—
228C22×Dic146D411yescharacteristic
229C22×Dic146C2311yescharacteristic
230C2×Q8×D73C2311yescharacteristic
231C22×D292D411yescharacteristic
232C22×D292C2311yescharacteristic
233C22×C22⋊D73—21no—
234C22×C22⋊D73D411yescharacteristic
235C22×C22⋊D73D411yescharacteristic
236C2×D4×D73—21no—
237C2×D4×D73C2311yescharacteristic
238C22×C4×D73—21no—
239C22×C4×D73—21no—
240C22×C4×D73C2311yescharacteristic
241C22×C4×D73C2311yescharacteristic
242#14556613—42no—
243#14556613—42no—
244#14556611—42no—
245#14556611—42no—
246C2×Dic292C2311yescharacteristic
247C2×Dic292C2311yescharacteristic
248C2×#11924018C2311yescharacteristic
249C2×#11924018C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924017C2311yescharacteristic
252C2×#11924017C2311yescharacteristic
253C2×#11924017C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924016C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258C2×D584C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924011—42no—
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C22×#10596831C2311yescharacteristic
268C22×#10596831C2311yescharacteristic
269C2×C8×D73—42no—
270C2×C8×D73C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272C2×C8×D73C2311yescharacteristic
273C2×C8×D73C2311yescharacteristic
274#14556591—21no—
275#14556591—21no—
276#14556590—21no—
277#14556590—21no—
278#14556588—21no—
279#14556588—21no—
280#14556587—21no—
281#14556587—21no—
282#14556579—21no—
283#14556579—21no—
284#14556579—21no—
285#14556579—21no—
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556576—21no—
291#14556576—21no—
292#14556575—21no—
293#14556575—21no—
294#14556575—21no—
295#14556575—21no—
296#14556575—21no—
297#14556575—21no—
298#14556575—21no—
299#14556575—21no—
300#14556575—21no—
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556572—21no—
305#14556571—21no—
306#14556571—21no—
307#14556571—21no—
308#14556571—21no—
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556571C2311yescharacteristic
317#14556571C2311yescharacteristic
318#14556571C2311yescharacteristic
319#14556570C2311yescharacteristic
320#14556570C2311yescharacteristic
321#14556569—21no—
322#14556569—21no—
323#14556568—21no—
324#14556568—21no—
325#14556567C2311yescharacteristic
326#14556567C2311yescharacteristic
327#14556566—21no—
328#14556566—21no—
329#14556566—21no—
330#14556566—21no—
331#14556566—21no—
332#14556566—21no—
333#14556566C2311yescharacteristic
334#14556566C2311yescharacteristic
335#14556566C2311yescharacteristic
336#14556566C2311yescharacteristic
337#14556566C2311yescharacteristic
338#14556566C2311yescharacteristic
339#14556566C2311yescharacteristic
340#14556566C2311yescharacteristic
341#14556566C2311yescharacteristic
342#14556566C2311yescharacteristic
343#14556565—21no—
344#14556565—21no—
345#14556565—21no—
346#14556565—21no—
347#14556565—21no—
348#14556565—21no—
349#14556565—21no—
350#14556565—21no—
351#14556565C2311yescharacteristic
352#14556565C2311yescharacteristic
353#14556564—21no—
354#14556564—21no—
355#14556564—21no—
356#14556564—21no—
357#14556564—21no—
358#14556564—21no—
359#14556563—21no—
360#14556563—21no—
361#14556562—21no—
362#14556562—21no—
363#14556562C2311yescharacteristic
364#14556562C2311yescharacteristic
365#14556561—21no—
366#14556561—21no—
367#14556561—21no—
368#14556561—21no—
369#14556561—21no—
370#14556561—21no—
371#14556561—21no—
372#14556561—21no—
373#14556561—21no—
374#14556561—21no—
375#14556561—21no—
376#14556560—21no—
377#14556559—21no—
378#14556559—21no—
379#14556559—21no—
380C4×D292—21no—
381C4×D292—21no—
382C4×D292—21no—
383C4×D292—21no—
384C4×D292—21no—
385C4×D292—21no—
386C4×D292—21no—
387C4×D292—21no—
388C4×D292—21no—
389C4×D292—21no—
390C4×C22⋊D73—21no—
391C4×C22⋊D73—21no—
392C4×C22⋊D73—21no—
393C4×C22⋊D73—21no—
394#14556550C2311yescharacteristic
395#14556549C2311yescharacteristic
396#14556549C2311yescharacteristic
397#14556548—21no—
398#14556547—21no—
399C4⋊C4×D73C2311yescharacteristic
400C4⋊C4×D73C2311yescharacteristic
401C22⋊C4×D73—21no—
402C42×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409#14556522C2311yescharacteristic
410#14556522C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
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#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556503C2311yescharacteristic
446#14556503C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C23×C4×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73—21no—
459#117×C73—21no—
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468C2×C22⋊C4×C73—21no—
469C2×C42×C73—21no—
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#107×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493C23×D73C2×D411yescharacteristic
494#11924029—41no—
495#11924029—41no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—42no—
507#11924028—42no—
508#11924028—42no—
509#11924028—42no—
510#11924028—41no—
511#11924028—41no—
512#11924028—41no—
513#11924028—41no—
514#11924028—41no—
515#11924028—41no—
516#11924028—41no—
517#11924028—41no—
518#11924028—44no—
519#11924028—44no—
520#11924028—44no—
521#11924027—41no—
522#11924027—41no—
523#11924027—44no—
524C2×Dic146—21no—
525C2×Dic146—21no—
526C2×Dic146—41no—
527C2×Dic146—41no—
528C2×Dic146—42no—
529C2×Dic146C2×D411yescharacteristic
530C2×Dic146C2×D411yescharacteristic
531C2×Dic146C2×D411yescharacteristic
532C2×Dic146C2×D411yescharacteristic
533C2×Dic146C2411yescharacteristic
534C2×Dic146C2411yescharacteristic
535C2×Dic146C2411yescharacteristic
536Q8×D73—41no—
537Q8×D73—41no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—21no—
544C2×D292—21no—
545C2×D292—21no—
546C2×D292—21no—
547C2×D292—21no—
548C2×D292—21no—
549C2×D292—21no—
550C2×D292—41no—
551C2×D292—41no—
552C2×D292—42no—
553C2×D292C2×D411yescharacteristic
554C2×D292C2×D411yescharacteristic
555C2×D292C2×D411yescharacteristic
556C2×D292C2×D411yescharacteristic
557C2×D292C2411yescharacteristic
558C2×D292C2411yescharacteristic
559C2×D292C2411yescharacteristic
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73—21no—
563C2×C22⋊D73—21no—
564C2×C22⋊D73—21no—
565C2×C22⋊D73—21no—
566C2×C22⋊D73—21no—
567C2×C22⋊D73—21no—
568C2×C22⋊D73—21no—
569C2×C22⋊D73—21no—
570C2×C22⋊D73—21no—
571C2×C22⋊D73—42no—
572C2×C22⋊D73—42no—
573C2×C22⋊D73—44no—
574C2×C22⋊D73C2×D411yescharacteristic
575C2×C22⋊D73C2×D411yescharacteristic
576C2×C22⋊D73C2×D411yescharacteristic
577C2×C22⋊D73C2×D411yescharacteristic
578C2×C22⋊D73C2×D411yescharacteristic
579C2×C22⋊D73C2×D411yescharacteristic
580C2×C22⋊D73C2×D411yescharacteristic
581C2×C22⋊D73C2×D411yescharacteristic
582D4×D73—41no—
583D4×D73—41no—
584D4×D73—44no—
585C22×Dic73—21no—
586C22×Dic73—21no—
587C22×Dic73C2×D411yescharacteristic
588C22×Dic73C2×D411yescharacteristic
589C2×C4×D73—22no—
590C2×C4×D73—22no—
591C2×C4×D73—22no—
592C2×C4×D73—22no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—21no—
599C2×C4×D73—21no—
600C2×C4×D73—21no—
601C2×C4×D73—21no—
602C2×C4×D73—44no—
603C2×C4×D73—44no—
604C2×C4×D73C2×D411yescharacteristic
605C2×C4×D73C2×D411yescharacteristic
606C2×C4×D73C2×D411yescharacteristic
607C2×C4×D73C2×D411yescharacteristic
608C2×C4×D73C2411yescharacteristic
609C2×C4×D73C2411yescharacteristic
610C2×C4×D73C2411yescharacteristic
611C2×C4×D73C2411yescharacteristic
612Dic292—41no—
613Dic292—41no—
614#11924018—41no—
615#11924018—41no—
616#11924017—41no—
617#11924017—41no—
618#11924017—41no—
619#11924017—41no—
620#11924016—41no—
621#11924016—41no—
622#11924015—41no—
623#11924015—41no—
624D584—41no—
625D584—41no—
626#11924013—41no—
627#11924013—41no—
628#11924011—41no—
629#11924011—41no—
630#11924011—41no—
631#11924011—41no—
632C2×#10596831—22no—
633C2×#10596831—22no—
634C2×#10596831C2411yescharacteristic
635C2×#10596831C2411yescharacteristic
636C2×#10596831C2411yescharacteristic
637C2×#10596831C2411yescharacteristic
638C8×D73—41no—
639C8×D73—41no—
640C8×D73—41no—
641C8×D73—41no—
642C4⋊Dic73—21no—
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⋊Dic73—21no—
652C4⋊Dic73C2411yescharacteristic
653C4⋊Dic73C2411yescharacteristic
654#11924007—21no—
655#11924007—21no—
656#11924007—21no—
657#11924007—21no—
658#11924007—21no—
659#11924007—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663C22⋊Dic73—21no—
664C22⋊Dic73—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005—21no—
683#11924005—21no—
684#11924005—21no—
685#11924005—21no—
686#11924005—21no—
687#11924005—21no—
688#11924005—21no—
689#11924005—21no—
690#11924005—21no—
691C4×Dic73—21no—
692C4×Dic73—21no—
693C4×Dic73—21no—
694C24×C73C2×D411yescharacteristic
695#41×C73—22no—
696#41×C73—22no—
697C2×Q8×C73C2411yescharacteristic
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73C2411yescharacteristic
702C22×C4×C73—22no—
703C22×C4×C73—22no—
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73C2×D411yescharacteristic
708C22×C4×C73C2×D411yescharacteristic
709C22×C4×C73C2×D411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2411yescharacteristic
713C2×C8×C73—22no—
714C2×C8×C73—22no—
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C42×C73—21no—
739C42×C73—21no—
740C42×C73—21no—
741C42×C73—21no—
742C42×C73—21no—
743C23×C73—22no—
744C23×C73—21no—
745C23×C73—41no—
746C23×C73—41no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—22no—
751C22×D73—22no—
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—41no—
756C22×D73—41no—
757C22×D73—41no—
758C22×D73—41no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769Q8×C73—21no—
770Q8×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73—81no—
776C2×C4×C73—22no—
777C2×C4×C73—22no—
778C2×C4×C73—22no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—42no—
791C2×C4×C73—81no—
792C2×C4×C73—81no—
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73H(5,𝔽2)12yes—
797C2×C4×C73H(5,𝔽2)12yes—
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—41no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C2×Dic73—22no—
819C2×Dic73—22no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—42no—
826C2×Dic73—42no—
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831D292—21no—
832D292—21no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—21no—
837D292—41no—
838D292—41no—
839D292—41no—
840D292—41no—
841D292—42no—
842D292—42no—
843D292—81no—
844D292—81no—
845D292—81no—
846D292—81no—
847D292—81no—
848D292—81no—
849D292—81no—
850D292—81no—
851D292—81no—
852D292—81no—
853C4×D73—22no—
854C4×D73—22no—
855C4×D73—22no—
856C4×D73—22no—
857C4×D73—21no—
858C4×D73—21no—
859C4×D73—21no—
860C4×D73—21no—
861C4×D73—21no—
862C4×D73—21no—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—42no—
866C4×D73—42no—
867C4×D73—42no—
868C4×D73—42no—
869C4×D73—42no—
870C4×D73—42no—
871C4×D73—42no—
872C4×D73—81no—
873C4×D73—81no—
874Dic146—21no—
875Dic146—21no—
876Dic146—21no—
877Dic146—21no—
878Dic146—21no—
879Dic146—21no—
880Dic146—41no—
881Dic146—41no—
882Dic146—41no—
883Dic146—41no—
884Dic146—42no—
885Dic146—42no—
886C8×C73—21no—
887C8×C73—21no—
888C8×C73—21no—
889C8×C73—21no—
890#10596831—21no—
891#10596831—21no—
892#10596831—21no—
893#10596831—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—82no—
906C22×C73#53412yes—
907C22×C73C23×D411yescharacteristic
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—44no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—82no—
931C2×D73—84no—
932C2×D73—84no—
933C4×C73—21no—
934C4×C73—21no—
935C4×C73—41no—
936C4×C73—41no—
937C4×C73—41no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73—41no—
941C4×C73—41no—
942C4×C73#53412yes—
943C4×C73C2×H(5,𝔽2)11yescharacteristic
944C4×C73C2×H(5,𝔽2)11yescharacteristic
945Dic73—21no—
946Dic73—21no—
947Dic73—21no—
948Dic73—21no—
949Dic73—41no—
950Dic73—41no—
951Dic73—41no—
952Dic73—41no—
953Dic73—41no—
954#60749—731nomaximal, Sylow
955C2×C73—22no—
956C2×C73—41no—
957C2×C73—41no—
958C2×C73—81no—
959C2×C73C2×#53411yescharacteristic
960C2×C73#358411yescharacteristic
961C2×C73#358411yescharacteristic
962D73—41no—
963D73—41no—
964D73—41no—
965D73—41no—
966D73—81no—
967D73—81no—
968D73—81no—
969#3449—731no—
970#3449—731no—
971#3204—731no—
972#3204—731no—
973#3203—731no—
974#3203—731no—
975#3202—731no—
976#3201—731no—
977#3201—731no—
978#3201—731no—
979#3201—731no—
980#3200—731no—
981#3200—731no—
982#3199—731no—
983#3198—731no—
984#3198—731no—
985#3198—731no—
986#3198—731no—
987#3091—731no—
988#3091—731no—
989#3091—731no—
990#3091D7311yescharacteristic, complemented
991#3054—731no—
992#3054—731no—
993#3050—731no—
994#3050—731no—
995#3002—731no—
996#3002—731no—
997#3002—731no—
998#3002—731no—
999C2×#408—731no—
1000C73#6074911yescharacteristic, complemented, Sylow
1001C22×#41—731no—
1002C22×#41—731no—
1003C22×#41—731no—
1004C2×#135—731no—
1005C2×#135—731no—
1006C2×#135—731no—
1007C2×#135—731no—
1008C22×M16—731no—
1009C23×C8—731no—
1010#537—731no—
1011#537—731no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—731no—
1016#537—731no—
1017#537—731no—
1018#536—731no—
1019#536—731no—
1020#536—731no—
1021#536—731no—
1022#536—1461no—
1023#536—1461no—
1024#535—731no—
1025#535—731no—
1026#535—731no—
1027#535—731no—
1028#535—1461no—
1029#535—1461no—
1030#534—1461no—
1031#534—1461no—
1032#534—1461no—
1033#534—1461no—
1034#532—1461no—
1035#532—1461no—
1036#532—1461no—
1037#532—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—731no—
1042#525—731no—
1043#525—731no—
1044#525—731no—
1045#525—1461no—
1046#525—1461no—
1047#525—1461no—
1048#525—1461no—
1049#525C2×D7311yescharacteristic
1050C2×#117—731no—
1051C2×#117C2×D7311yescharacteristic, complemented
1052#485—731no—
1053#485—731no—
1054#485—731no—
1055#485—731no—
1056#485—731no—
1057#485—731no—
1058#485C2×D7311yescharacteristic, complemented
1059#485C2×D7311yescharacteristic, complemented
1060#484—731no—
1061#484—731no—
1062#484—731no—
1063#484C2×D7311yescharacteristic, complemented
1064#483—731no—
1065#483—731no—
1066#483—731no—
1067#483C2×D7311yescharacteristic, complemented
1068#482—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#482—731no—
1074#482C2×D7311yescharacteristic, complemented
1075#482C2×D7311yescharacteristic, complemented
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481C2×D7311yescharacteristic, complemented
1080#480—731no—
1081#480—731no—
1082#480—731no—
1083#480C2×D7311yescharacteristic, complemented
1084#470—731no—
1085#470—731no—
1086#470—731no—
1087#470—731no—
1088#469—731no—
1089#469—731no—
1090#469—731no—
1091#469—731no—
1092#468—731no—
1093#468—731no—
1094#468—731no—
1095#468—731no—
1096#468—731no—
1097#468—731no—
1098#468—731no—
1099#468—731no—
1100#467—731no—
1101#467—731no—
1102#467—731no—
1103#467—731no—
1104#466—731no—
1105#466—731no—
1106#466—731no—
1107#466—731no—
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#465—731no—
1113#465—731no—
1114#465—731no—
1115#465—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#452—731no—
1120#452—731no—
1121#452—731no—
1122#452—731no—
1123#452—731no—
1124#451—731no—
1125#451—731no—
1126#451—731no—
1127#451—731no—
1128#450—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449—731no—
1139#449—731no—
1140#448—731no—
1141#448—731no—
1142#448—731no—
1143#448—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#427—731no—
1149#427—731no—
1150#427C2×D7311yescharacteristic, complemented
1151#427C2×D7311yescharacteristic, complemented
1152#416—731no—
1153#416—731no—
1154#416—731no—
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416C2×D7311yescharacteristic, complemented
1159#416C2×D7311yescharacteristic, complemented
1160#408—731no—
1161#408—731no—
1162#408—731no—
1163#408—731no—
1164#408—731no—
1165#408—731no—
1166#408—731no—
1167#408—731no—
1168C2×C22⋊C8—731no—
1169C2×C22⋊C8—731no—
1170C2×C22⋊C8—731no—
1171C2×C22⋊C8C2×D7311yescharacteristic, complemented
1172C2×#41—2922no—
1173C2×#41—2922no—
1174C2×#41—2922no—
1175C2×#41—2922no—
1176C2×#41—2922no—
1177C2×#41—2922no—
1178C2×#41—731no—
1179C2×#41—731no—
1180C2×#41—731no—
1181C2×#41—731no—
1182C2×#41—731no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—731no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
1196C2×#41—1461no—
1197C2×#41C22×D7311yescharacteristic
1198C22×Q8—731no—
1199C22×Q8—731no—
1200C22×Q8—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—731no—
1204C22×D4—731no—
1205C22×D4—731no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—1461no—
1211C23×C4—1461no—
1212C23×C4C22×D7311yescharacteristic
1213#135—2922no—
1214#135—2922no—
1215#135—2922no—
1216#135—2922no—
1217C2×Q16—731no—
1218C2×Q16—731no—
1219C2×Q16—731no—
1220C2×Q16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8—731no—
1232C2×D8—731no—
1233C2×M16—2922no—
1234C2×M16—731no—
1235C2×M16—731no—
1236C2×M16—731no—
1237C2×M16—731no—
1238C22×C8—2922no—
1239C22×C8—731no—
1240C22×C8—731no—
1241C22×C8—731no—
1242C22×C8—731no—
1243C22×C8—731no—
1244C22×C8—731no—
1245C22×C8C22×D7311yescharacteristic
1246C22×C8C22×D7311yescharacteristic
1247C4⋊Q8—1461no—
1248C4⋊Q8—1461no—
1249C4⋊Q8—1461no—
1250C4⋊Q8—1461no—
1251#127—1461no—
1252#127—1461no—
1253#127—1461no—
1254#127—1461no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#123—21no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—731no—
1289C22⋊Q8—731no—
1290C22⋊Q8—731no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8C22×D7311yescharacteristic
1302C22⋊Q8C22×D7311yescharacteristic
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121C22×D7311yescharacteristic
1342#121C22×D7311yescharacteristic
1343#120—21no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349#120—1461no—
1350#120—1461no—
1351#120—1461no—
1352#120—1461no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375#117—21no—
1376#117—21no—
1377#117—731no—
1378#117—731no—
1379#117—731no—
1380#117—1461no—
1381#117—1461no—
1382#117C22×D7311yescharacteristic
1383#117C22×D7311yescharacteristic
1384#117C22×D7311yescharacteristic
1385#117C22×D7311yescharacteristic
1386#117C22×D7311yescharacteristic
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4C22×D7311yescharacteristic
1390C2×C4⋊C4C22×D7311yescharacteristic
1391C2×C22⋊C4—21no—
1392C2×C22⋊C4—1461no—
1393C2×C42—21no—
1394C2×C42—1461no—
1395#107—731no—
1396#107—731no—
1397#107—731no—
1398#107—731no—
1399#107C22×D7311yescharacteristic
1400#107C22×D7311yescharacteristic
1401#107C22×D7311yescharacteristic
1402#107C22×D7311yescharacteristic
1403#106—731no—
1404#106—731no—
1405#106—731no—
1406#106—731no—
1407#106C22×D7311yescharacteristic
1408#106C22×D7311yescharacteristic
1409#106C22×D7311yescharacteristic
1410#106C22×D7311yescharacteristic
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103C22×D7311yescharacteristic
1424#103C22×D7311yescharacteristic
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441#102C22×D7311yescharacteristic
1442#102C22×D7311yescharacteristic
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8C22×D7311yescharacteristic
1456C22⋊C8C22×D7311yescharacteristic
1457C22⋊C8C22×D7311yescharacteristic
1458C22⋊C8C22×D7311yescharacteristic
1459C24—731no—
1460C24—731no—
1461C24—1461no—
1462C24—1461no—
1463C24D4×D7311yescharacteristic
1464#41—22no—
1465#41—22no—
1466#41—2924no—
1467#41—2924no—
1468#41—2921no—
1469#41—2921no—
1470#41—2921no—
1471#41—2921no—
1472#41—2922no—
1473#41—2922no—
1474#41—2922no—
1475#41—2922no—
1476#41—2921no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2924no—
1485#41—2921no—
1486#41—2921no—
1487#41—2924no—
1488#41—2921no—
1489#41—2921no—
1490#41—1462no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495#41—1462no—
1496C2×Q8—2921no—
1497C2×Q8—2921no—
1498C2×Q8—2922no—
1499C2×Q8—2921no—
1500C2×Q8—2921no—
1501C2×Q8—731no—
1502C2×Q8—731no—
1503C2×Q8—731no—
1504C2×Q8—731no—
1505C2×Q8—731no—
1506C2×Q8—731no—
1507C2×Q8—731no—
1508C2×Q8—1461no—
1509C2×Q8—1461no—
1510C2×Q8C23×D7311yescharacteristic
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—2922no—
1515C2×D4—2921no—
1516C2×D4—2921no—
1517C2×D4—2924no—
1518C2×D4—2924no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2922no—
1522C2×D4—2922no—
1523C2×D4—731no—
1524C2×D4—731no—
1525C2×D4—731no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4C23×D7311yescharacteristic
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—2924no—
1568C22×C4—2924no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—1461no—
1580C22×C4—1461no—
1581C22×C4—1461no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1462no—
1591C22×C4—1462no—
1592C22×C4—1462no—
1593C22×C4—1462no—
1594C22×C4D4×D7311yescharacteristic
1595C22×C4D4×D7311yescharacteristic
1596C22×C4D4×D7311yescharacteristic
1597C22×C4C23×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600Q16—2921no—
1601Q16—2921no—
1602Q16—2921no—
1603Q16—2921no—
1604SD16—2921no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—2921no—
1612D8—2921no—
1613D8—2921no—
1614D8—2921no—
1615D8—2921no—
1616M16—2921no—
1617M16—2921no—
1618M16—2921no—
1619M16—2921no—
1620C2×C8—22no—
1621C2×C8—22no—
1622C2×C8—2921no—
1623C2×C8—2921no—
1624C2×C8—2921no—
1625C2×C8—2921no—
1626C2×C8—731no—
1627C2×C8—731no—
1628C2×C8—731no—
1629C2×C8—731no—
1630C2×C8—1462no—
1631C2×C8—1462no—
1632C2×C8C23×D7311yescharacteristic
1633C2×C8C23×D7311yescharacteristic
1634C2×C8C23×D7311yescharacteristic
1635C2×C8C23×D7311yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—731no—
1641C4⋊C4—731no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4C23×D7311yescharacteristic
1659C4⋊C4C23×D7311yescharacteristic
1660C4⋊C4C23×D7311yescharacteristic
1661C4⋊C4C23×D7311yescharacteristic
1662C4⋊C4C23×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—1461no—
1710C42—1461no—
1711C42—1461no—
1712C23—22no—
1713C23—21no—
1714C23—41no—
1715C23—41no—
1716C23—2921no—
1717C23—2921no—
1718C23—2922no—
1719C23—2921no—
1720C23—2921no—
1721C23—2922no—
1722C23—5841no—
1723C23—5841no—
1724C23—5841no—
1725C23—5841no—
1726C23—731no—
1727C23—731no—
1728C23—731no—
1729C23—731no—
1730C23—1461no—
1731C23—1461no—
1732C23—1461no—
1733C23—1462no—
1734C23—1462no—
1735C23C2×D4×D7311yescharacteristic
1736C23C2×D4×D7311yescharacteristic
1737C23C2×D4×D7311yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—2922no—
1741Q8—2921no—
1742Q8—2921no—
1743Q8—2921no—
1744Q8—2921no—
1745Q8—2922no—
1746Q8—1461no—
1747Q8—1461no—
1748Q8—1461no—
1749Q8—1461no—
1750Q8—1461no—
1751Q8—1461no—
1752D4—21no—
1753D4—21no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—2922no—
1758D4—2921no—
1759D4—2921no—
1760D4—2921no—
1761D4—2921no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2922no—
1769D4—2921no—
1770D4—2921no—
1771D4—2921no—
1772D4—2921no—
1773D4—2921no—
1774D4—2921no—
1775D4—2921no—
1776D4—2921no—
1777D4—2922no—
1778D4—5841no—
1779D4—5841no—
1780D4—5841no—
1781D4—5841no—
1782D4—5841no—
1783D4—5841no—
1784D4—5841no—
1785D4—5841no—
1786D4—5841no—
1787D4—5841no—
1788D4—5841no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—1461no—
1793D4—1461no—
1794D4—1461no—
1795D4—1461no—
1796D4—1461no—
1797D4—1461no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—42no—
1813C2×C4—81no—
1814C2×C4—81no—
1815C2×C4—2922no—
1816C2×C4—2922no—
1817C2×C4—2922no—
1818C2×C4—2922no—
1819C2×C4—2922no—
1820C2×C4—2922no—
1821C2×C4—2922no—
1822C2×C4—2922no—
1823C2×C4—2922no—
1824C2×C4—5841no—
1825C2×C4—5841no—
1826C2×C4—731no—
1827C2×C4—731no—
1828C2×C4—731no—
1829C2×C4—731no—
1830C2×C4—1461no—
1831C2×C4—1461no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4—1461no—
1835C2×C4—1462no—
1836C2×C4—1462no—
1837C2×C4—1462no—
1838C2×C4—1462no—
1839C2×C4—1462no—
1840C2×C4—1462no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4C2×D4×D7311yescharacteristic
1850C2×C4C2×D4×D7311yescharacteristic
1851C2×C4C2×D4×D7311yescharacteristic
1852C2×C4#1455663712yes—
1853C2×C4#1455663712yes—
1854C2×C4C24×D7311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1461no—
1860C8—1461no—
1861C8—1461no—
1862C8—1461no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—82no—
1875C22—2924no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—2921no—
1882C22—2921no—
1883C22—2921no—
1884C22—2921no—
1885C22—5842no—
1886C22—5844no—
1887C22—5844no—
1888C22—1461no—
1889C22—1461no—
1890C22—1461no—
1891C22—1461no—
1892C22—1461no—
1893C22—1461no—
1894C22—1461no—
1895C22—1461no—
1896C22—1461no—
1897C22—1461no—
1898C22—1461no—
1899C22—1461no—
1900C22#1798914812yes—
1901C22C22×D4×D7311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—2921no—
1912C4—2921no—
1913C4—2921no—
1914C4—2921no—
1915C4—2921no—
1916C4—1461no—
1917C4—1461no—
1918C4—1461no—
1919C4—1461no—
1920C4#1798914812yes—
1921C4C2×#1455663711yescharacteristic
1922C4C2×#1455663711yescharacteristic
1923C2—22no—
1924C2—41no—
1925C2—41no—
1926C2—81no—
1927C2—2921no—
1928C2—2921no—
1929C2—2921no—
1930C2—2921no—
1931C2—5841no—
1932C2—5841no—
1933C2—5841no—
1934C2C2×#1798914811yescharacteristic
1935C2#2262470011yescharacteristic
1936C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3091C2
socleC22×C73C23×D4
hypercenter#3091D73
hypocenterC73#60749
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
1. #22623264C2semidirect
2. #22623261C2semidirect
3. #22620844C2semidirect
4. #22620841C2semidirect
5. #22620835C2semidirect
6. #22620831C2semidirect
7. #22620825C2semidirect
8. #22620820C2semidirect
9. #22620819C2semidirect
10. #22620818C2semidirect
11. #22620811C2semidirect
12. #22620805C2semidirect
13. #22620802C2semidirect
14. #22620795C2semidirect
15. #22620790C2semidirect
16. #22620789C2semidirect
17. #22620788C2semidirect
18. #22620781C2semidirect
19. #22619848C2semidirect
20. #22619848C2semidirect
21. #22619844C2semidirect
22. #22619541C2semidirect
23. #22619539C2semidirect
24. #22619513C2semidirect
25. #22619511C2semidirect
26. #22619153C2semidirect
27. #22619151C2semidirect
28. #22619151C2semidirect
29. #22619147C2semidirect
30. C2×#17988552C2semidirect
31. C73×#3091C2semidirect
33. C22×#11924028C22semidirect
34. C2×#41×D73C22semidirect
39. C22×#11924011C22semidirect
40. C22×C8×D73C22semidirect
43. #17989168C22semidirect
44. #17989168C22semidirect
46. #17989167C22semidirect
48. #17989166C22semidirect
51. #17989163C22semidirect
53. #17989160C22semidirect
57. #17989156C22semidirect
59. #17989153C22semidirect
73. #17989099C22semidirect
74. #17989099C22semidirect
75. #17989099C22semidirect
79. #17989094C22semidirect
80. #117×D73C22semidirect
81. #17988931C22semidirect
82. #17988931C22semidirect
83. #17988930C22semidirect
84. #17988930C22semidirect
85. #17988928C22semidirect
86. #17988928C22semidirect
87. #17988924C22semidirect
88. #17988924C22semidirect
89. #17988922C22semidirect
90. #17988919C22semidirect
91. #17988919C22semidirect
92. #17988917C22semidirect
93. #17988914C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
97. #17988911C22semidirect
98. #17988911C22semidirect
99. #17988907C22semidirect
100. #17988907C22semidirect
101. #17988905C22semidirect
102. #17988902C22semidirect
103. #17988902C22semidirect
104. #17988900C22semidirect
105. #17988846C22semidirect
106. #17988846C22semidirect
107. #17988844C22semidirect
108. #17988844C22semidirect
109. #17988841C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988836C22semidirect
114. #17988836C22semidirect
115. #17988834C22semidirect
116. #17988834C22semidirect
117. #17988834C22semidirect
118. #17988834C22semidirect
119. #17988832C22semidirect
120. #17988832C22semidirect
121. #17988829C22semidirect
122. #17988829C22semidirect
123. #17988827C22semidirect
124. #17988827C22semidirect
125. #17988824C22semidirect
126. #17988824C22semidirect
127. #17988822C22semidirect
128. #17988822C22semidirect
129. #17988819C22semidirect
130. #17988819C22semidirect
131. #17988817C22semidirect
132. #17988817C22semidirect
133. #17988817C22semidirect
134. #17988817C22semidirect
135. #17988815C22semidirect
136. #17988815C22semidirect
137. #17988752C22semidirect
138. #17988752C22semidirect
139. #17988751C22semidirect
140. #17988751C22semidirect
141. #17988750C22semidirect
142. #17988750C22semidirect
143. #17988747C22semidirect
144. #17988747C22semidirect
145. #17988745C22semidirect
146. #17988744C22semidirect
147. #17988744C22semidirect
148. #17988742C22semidirect
149. #17988740C22semidirect
150. #17988739C22semidirect
151. #17988739C22semidirect
152. #17988737C22semidirect
153. #17988735C22semidirect
154. #17988735C22semidirect
155. #17988734C22semidirect
156. #17988734C22semidirect
157. #17988733C22semidirect
158. #17988733C22semidirect
159. #17988730C22semidirect
160. #17988730C22semidirect
161. #17988728C22semidirect
162. #17988727C22semidirect
163. #17988727C22semidirect
164. #17988725C22semidirect
165. #17988723C22semidirect
166. #17988722C22semidirect
167. #17988722C22semidirect
168. #17988720C22semidirect
169. #17988623C22semidirect
170. #17988623C22semidirect
171. #17988584C22semidirect
172. #17988584C22semidirect
173. #17988581C22semidirect
174. #17988581C22semidirect
175. #17988581C22semidirect
176. #17988581C22semidirect
179. #17988552C22semidirect
180. #17988552C22semidirect
181. #17988552C22semidirect
182. #17988552C22semidirect
183. #17988552C22semidirect
184. #17988552C22semidirect
185. C2×C22⋊#10596831C22semidirect
186. C2×#14556503C22semidirect
187. C2×#14556503C22semidirect
189. C2×#117×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #482×C73C22semidirect
195. #482×C73C22semidirect
196. #481×C73C22semidirect
197. #480×C73C22semidirect
198. #427×C73C22semidirect
199. #427×C73C22semidirect
200. #416×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
990. #3091D73semidirect
1000. C73#60749semidirect
1051. C2×#117C2×D73semidirect
1058. #485C2×D73semidirect
1059. #485C2×D73semidirect
1063. #484C2×D73semidirect
1067. #483C2×D73semidirect
1074. #482C2×D73semidirect
1075. #482C2×D73semidirect
1079. #481C2×D73semidirect
1083. #480C2×D73semidirect
1150. #427C2×D73semidirect
1151. #427C2×D73semidirect
1158. #416C2×D73semidirect
1159. #416C2×D73semidirect
1171. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226232642
#226232612
#226208442
#226208412
#226208352
#226208312
#226208252
#226208202
#226208192
#226208182
#226208112
#226208052
#226208022
#226207952
#226207902
#226207892
#226207882
#226207812
#226198482
#226198442
#226195412
#226195392
#226195132
#226195112
#226191532
#226191512
#226191472
C2×#179885522
C73×#30912
#6074973