Finite Group Databasebeta

← #30576146

Subgroups — #30576146

Order 15616.

1776 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic
3#21458771C211yesmaximal, characteristic, complemented
4#21458763C211yesmaximal, characteristic, complemented
5#21458590C211yesmaximal, characteristic, complemented
6#21458588C211yesmaximal, characteristic, complemented
7#21458367C211yesmaximal, characteristic, complemented
8#21458365C211yesmaximal, characteristic, complemented
9#21458268C211yesmaximal, characteristic, complemented
10#21458196C211yesmaximal, characteristic, complemented
11#21458194C211yesmaximal, characteristic, complemented
12#21457858C211yesmaximal, characteristic, complemented
13#21457850C211yesmaximal, characteristic, complemented
14#21457842C211yesmaximal, characteristic, complemented
15#21457834C211yesmaximal, characteristic, complemented
16#21457660C211yesmaximal, characteristic, complemented
17#21457652C211yesmaximal, characteristic, complemented
18#21457187C211yesmaximal, characteristic, complemented
19#21457151C211yesmaximal, characteristic, complemented
20#21457134C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457018C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455979C211yesmaximal, characteristic, complemented
25#21455915C211yesmaximal, characteristic, complemented
26#21455824C211yesmaximal, characteristic, complemented
27#21455615C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29C2×#16840051C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3344C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840489—21no—
34#16840489C2211yescharacteristic, complemented
35#16840488C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic, complemented
37#16840480C2211yescharacteristic, complemented
38#16840479—21no—
39#16840473C2211yescharacteristic
40#16840465—21no—
41#16840460C2211yescharacteristic
42#16840460C2211yescharacteristic
43#16840454C2211yescharacteristic, complemented
44#16840452C2211yescharacteristic
45#16840449—21no—
46#16840447C2211yescharacteristic, complemented
47#16840445—21no—
48#16840439—21no—
49#16840439—21no—
50#16840407—21no—
51#16840403C2211yescharacteristic
52#16840403C2211yescharacteristic
53D4×D244C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic, complemented
58#16840316C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840314C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840313C2211yescharacteristic
63C2×#14519776C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840297—21no—
67#16840275—21no—
68#16840275—21no—
69#16840239—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74C4×D4×D61—21no—
75#16840169C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840123C2211yescharacteristic, complemented
83#16840123C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840097C2211yescharacteristic, complemented
90#16840092C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840087C2211yescharacteristic
97#16840086C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840067C2211yescharacteristic, complemented
105#16840065C2211yescharacteristic
106#16840065C2211yescharacteristic, complemented
107#16840063C2211yescharacteristic
108#16840061C2211yescharacteristic
109#16840061C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840055C2211yescharacteristic, complemented
112#16840055C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic
114#16840051C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic, complemented
118#16840051C2211yescharacteristic, complemented
119#16840051C2211yescharacteristic, complemented
120#16840051C2211yescharacteristic, complemented
121#16840051C2211yescharacteristic, complemented
122#16840051C2211yescharacteristic, complemented
123#16840045C2211yescharacteristic, complemented
124#16840044C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic, complemented
127#16840041C2211yescharacteristic, complemented
128#16840018C2211yescharacteristic, complemented
129#16840010C2211yescharacteristic
130#16840008C2211yescharacteristic
131#16840001C2211yescharacteristic, complemented
132#16839994C2211yescharacteristic, complemented
133#16839994C2211yescharacteristic, complemented
134#16839993C2211yescharacteristic
135#16839992C2211yescharacteristic, complemented
136#16839992C2211yescharacteristic, complemented
137#16839991C2211yescharacteristic
138#16839987C2211yescharacteristic, complemented
139#16839987C2211yescharacteristic, complemented
140#16839986C2211yescharacteristic, complemented
141#16839986C2211yescharacteristic, complemented
142#16839970C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic
144#16839966C2211yescharacteristic, complemented
145#16839966C2211yescharacteristic, complemented
146#16839963C2211yescharacteristic
147#16839962C2211yescharacteristic
148#16839927C2211yescharacteristic
149#16839923C2211yescharacteristic
150#16839915C2211yescharacteristic
151#16839915C2211yescharacteristic
152#16839912C2211yescharacteristic
153#16839912C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839867C2211yescharacteristic, complemented
157#16839865C2211yescharacteristic
158#16839865C2211yescharacteristic, complemented
159#16839864C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839861C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839799C2211yescharacteristic, complemented
177#16839797C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#483C2211yescharacteristic, complemented
194C61×#483C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#475C2211yescharacteristic, complemented
197C61×#470C2211yescharacteristic, complemented
198C61×#467C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C2×D4×D61—21no—
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775C2311yescharacteristic
233#14519774C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519771—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519766—21no—
261#14519766C2311yescharacteristic
262#14519766C2311yescharacteristic
263#14519765—21no—
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519761—21no—
273#14519761—21no—
274#14519761—21no—
275#14519760—21no—
276#14519758—21no—
277#14519757—21no—
278#14519757C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753C2311yescharacteristic
291#14519752—21no—
292#14519752—21no—
293#14519752—21no—
294#14519752—21no—
295#14519752C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751—21no—
298#14519751—21no—
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519747—21no—
302#14519747—21no—
303#14519747—21no—
304#14519747—21no—
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742D411yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327D4×Dic61D411yescharacteristic
328#14519739—21no—
329#14519739—21no—
330#14519739—21no—
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737D411yescharacteristic
348#14519737D411yescharacteristic
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735D411yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733D411yescharacteristic
364#14519733D411yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C2×#11758198—21no—
369C2×#11758198—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2×D411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61C2×D411yescharacteristic
492C2×C22⋊D61C2×D411yescharacteristic
493C22×Dic61—21no—
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496C22×Dic61C2×D411yescharacteristic
497C22×Dic61C2×D411yescharacteristic
498#11758226—22no—
499#11758226—41no—
500#11758226—82no—
501#11758224—42no—
502D4×D61—44no—
503C2×D244—22no—
504C2×D244—22no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244C2411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—82no—
527C2×C4×D61—82no—
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—44no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539Q16×C61—41no—
540M16×C61—41no—
541C2×C8×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61C2×D411yescharacteristic
580C22⋊Dic61C2×D411yescharacteristic
581#11758202—41no—
582#11758201—22no—
583#11758201—41no—
584#11758201—41no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670#11758190—22no—
671#11758190—41no—
672#11758190—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—81no—
692D4×C61—22no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—42no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—22no—
714C22⋊D61—41no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C2×Dic61—22no—
718C2×Dic61—22no—
719C2×Dic61—22no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—41no—
726C2×Dic61—42no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734D244—21no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—42no—
740D244—42no—
741D244—42no—
742D244—42no—
743D244—81no—
744D244—81no—
745D244—81no—
746D2442−1+412yes—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—22no—
750C4×D61—41no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—21no—
761Dic122—21no—
762Dic122—41no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—42no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#62126—611nomaximal, Sylow
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61#57512yes—
783C22×C61C23×D411yescharacteristic
784C2×D61—21no—
785C2×D61—22no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—84no—
797C2×D61—84no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#57712yes—
824#3509—611no—
825#3481—611no—
826#3388—611no—
827#3388—611no—
828#3371—611no—
829#3371—611no—
830#3350—611no—
831#3350—611no—
832#3344—611no—
833#3344D6111yescharacteristic, complemented
834#3337—611no—
835#3337—611no—
836#3311—611no—
837#3311—611no—
838#3310—611no—
839#3310—611no—
840#3296—611no—
841#3296—611no—
842#3252—611no—
843#3248—611no—
844#3246—611no—
845#3238—611no—
846#3235—611no—
847#3233—611no—
848#3116—611no—
849#3110—611no—
850#3101—611no—
851#3077—611no—
852#3076—611no—
853C2×#476—611no—
854#2990—611no—
855C2×C61—22no—
856C2×C61—41no—
857C2×C61#348911yescharacteristic
858C2×C61C2×#57511yescharacteristic
859C2×C61C2×#57711yescharacteristic
860D61—41no—
861D61—42no—
862D61—81no—
863D61—81no—
864#559—611no—
865#557—611no—
866#557—611no—
867#557—1221no—
868#556—611no—
869#556—611no—
870#556—1221no—
871#554—611no—
872#554C2×D6111yescharacteristic
873#553—611no—
874#553—611no—
875#553—1221no—
876#552—611no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#552—1221no—
881#552C2×D6111yescharacteristic
882#551—1221no—
883#551—1221no—
884#546—611no—
885#546—611no—
886#546—1221no—
887D42—611no—
888#541—1221no—
889#541—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#533—611no—
894#533—611no—
895#533—611no—
896#532—611no—
897C2×C4⋊Q8—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#525—1221no—
902#525—1221no—
903#519—1221no—
904C4×#41—611no—
905C4×#41—611no—
906C2×C4×D4—611no—
907C2×C4×D4—611no—
908C2×C4×D4—1221no—
909#501—611no—
910#501—611no—
911#501—611no—
912#501C2×D6111yescharacteristic, complemented
913#499—611no—
914#499—611no—
915#490—611no—
916#490—611no—
917#489—611no—
918#489—611no—
919#488—611no—
920#488—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485C2×D6111yescharacteristic, complemented
925#484—611no—
926#484C2×D6111yescharacteristic, complemented
927#483—611no—
928#483—611no—
929#483C2×D6111yescharacteristic, complemented
930#483C2×D6111yescharacteristic, complemented
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482—611no—
937#480—611no—
938#480—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479C2×D6111yescharacteristic, complemented
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#477—611no—
952#477—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#475—611no—
965#475C2×D6111yescharacteristic, complemented
966#474—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470C2×D6111yescharacteristic, complemented
971#468—611no—
972#468—611no—
973#467—611no—
974#467C2×D6111yescharacteristic, complemented
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#464—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460—611no—
991#452—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#450—611no—
996#450—611no—
997#446—611no—
998#446—611no—
999#441—611no—
1000#441C2×D6111yescharacteristic, complemented
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435C2×D6111yescharacteristic
1015C8×D4—611no—
1016C8×D4—611no—
1017#432—611no—
1018#432—611no—
1019#431—611no—
1020#428—611no—
1021#428C2×D6111yescharacteristic, complemented
1022#427—611no—
1023#427—611no—
1024C2×#106—611no—
1025C2×#106C2×D6111yescharacteristic, complemented
1026#423—611no—
1027C2×C4⋊C8—611no—
1028C2×C4⋊C8—611no—
1029#418—611no—
1030#418—611no—
1031#416—611no—
1032#416—611no—
1033C2×#102—611no—
1034C2×#102—611no—
1035C61#6212611yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×Q8—1221no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—1221no—
1043C23×C4—1221no—
1044C23×C4—1221no—
1045C2×Q16—611no—
1046C2×Q16C22×D6111yescharacteristic
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16—611no—
1052C2×SD16—611no—
1053C2×M16—611no—
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C22×C8—611no—
1058C22×C8C22×D6111yescharacteristic
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070#127—611no—
1071#126—21no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125C22×D6111yescharacteristic
1101#124—611no—
1102#124—611no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8C22×D6111yescharacteristic
1136C22⋊Q8C22×D6111yescharacteristic
1137C22⋊Q8C22×D6111yescharacteristic
1138C22⋊Q8C22×D6111yescharacteristic
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#120—1221no—
1150#120—1221no—
1151#120—1221no—
1152#120—1221no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8C22×D6111yescharacteristic
1173C4×Q8C22×D6111yescharacteristic
1174C4×D4—21no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4C22×D6111yescharacteristic
1201#117—21no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117C22×D6111yescharacteristic
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4C22×D6111yescharacteristic
1223C2×C4⋊C4C22×D6111yescharacteristic
1224C2×C4⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4—1221no—
1226C2×C22⋊C4—1221no—
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C42—611no—
1230C2×C42—611no—
1231C2×C42—611no—
1232C2×C42—1221no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8C22×D6111yescharacteristic
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8C22×D6111yescharacteristic
1304C22⋊C8C22×D6111yescharacteristic
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308#97C22×D6111yescharacteristic
1309C4×C8—611no—
1310C4×C8—611no—
1311C24—1221no—
1312C24—1221no—
1313#41—1222no—
1314#41—4882no—
1315#41—2442no—
1316#41—2441no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—2444no—
1326C2×Q8C23×D6111yescharacteristic
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2444no—
1347C2×D4D4×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—4882no—
1369C22×C4—4882no—
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372Q16—41no—
1373Q16—2441no—
1374SD16—1222no—
1375SD16—1222no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380M16—41no—
1381M16—2441no—
1382C2×C8—41no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4D4×D6111yescharacteristic
1484C22⋊C4D4×D6111yescharacteristic
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42C23×D6111yescharacteristic
1508C23—611no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—4881no—
1513C23—4881no—
1514C23—2442no—
1515C23—2442no—
1516C23—2442no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519C23C2×D4×D6111yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—81no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—2441no—
1528Q8—2442no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—22no—
1534D4—612no—
1535D4—1222no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—1221no—
1540D4—1221no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547D4—2442no—
1548D4—2441no—
1549D4—2442no—
1550D4—2442no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—1222no—
1574C2×C4—1222no—
1575C2×C4—1222no—
1576C2×C4—1222no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—2441no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4—2441no—
1595C2×C4—2442no—
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—1221no—
1615C22—1222no—
1616C22—1221no—
1617C22—1221no—
1618C22—4884no—
1619C22—4884no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22#1684056112yes—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—612no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—1221no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C42−1+4×D6111yescharacteristic
1655C4#1684059811yescharacteristic
1656C2—22no—
1657C2—41no—
1658C2—4881no—
1659C2—4881no—
1660C2—2441no—
1661C2—2442no—
1662C2#2145949311yescharacteristic
1663C2C2×#1684056111yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3344C2
socleC22×C61C23×D4
prime radical#21459430C2
hypercenter#3344D61
hypocenterC61#62126
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458771C2semidirect
4. #21458763C2semidirect
5. #21458590C2semidirect
6. #21458588C2semidirect
7. #21458367C2semidirect
8. #21458365C2semidirect
9. #21458268C2semidirect
10. #21458196C2semidirect
11. #21458194C2semidirect
12. #21457858C2semidirect
13. #21457850C2semidirect
14. #21457842C2semidirect
15. #21457834C2semidirect
16. #21457660C2semidirect
17. #21457652C2semidirect
18. #21457187C2semidirect
19. #21457151C2semidirect
20. #21457134C2semidirect
21. #21457043C2semidirect
22. #21457018C2semidirect
23. #21457001C2semidirect
24. #21455979C2semidirect
25. #21455915C2semidirect
26. #21455824C2semidirect
27. #21455615C2semidirect
28. #21455606C2semidirect
29. C2×#16840051C2semidirect
30. #21454939C2semidirect
31. C61×#3344C2semidirect
34. #16840489C22semidirect
35. #16840488C22semidirect
36. #16840483C22semidirect
37. #16840480C22semidirect
43. #16840454C22semidirect
46. #16840447C22semidirect
57. #16840318C22semidirect
58. #16840316C22semidirect
59. #16840315C22semidirect
60. #16840314C22semidirect
61. #16840314C22semidirect
63. C2×#14519776C22semidirect
75. #16840169C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
82. #16840123C22semidirect
83. #16840123C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840106C22semidirect
87. #16840102C22semidirect
88. #16840100C22semidirect
89. #16840097C22semidirect
90. #16840092C22semidirect
91. #16840090C22semidirect
92. #16840089C22semidirect
93. #16840089C22semidirect
94. #16840088C22semidirect
95. #16840088C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840069C22semidirect
103. #16840068C22semidirect
104. #16840067C22semidirect
106. #16840065C22semidirect
109. #16840061C22semidirect
111. #16840055C22semidirect
112. #16840055C22semidirect
117. #16840051C22semidirect
118. #16840051C22semidirect
119. #16840051C22semidirect
120. #16840051C22semidirect
121. #16840051C22semidirect
122. #16840051C22semidirect
123. #16840045C22semidirect
124. #16840044C22semidirect
126. #16840041C22semidirect
127. #16840041C22semidirect
128. #16840018C22semidirect
131. #16840001C22semidirect
132. #16839994C22semidirect
133. #16839994C22semidirect
135. #16839992C22semidirect
136. #16839992C22semidirect
138. #16839987C22semidirect
139. #16839987C22semidirect
140. #16839986C22semidirect
141. #16839986C22semidirect
142. #16839970C22semidirect
144. #16839966C22semidirect
145. #16839966C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839867C22semidirect
158. #16839865C22semidirect
161. #16839861C22semidirect
164. #16839849C22semidirect
166. #16839847C22semidirect
167. #16839836C22semidirect
169. #16839831C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839802C22semidirect
176. #16839799C22semidirect
177. #16839797C22semidirect
178. C2×#14519708C22semidirect
179. #16839785C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#483C22semidirect
194. C61×#483C22semidirect
195. C61×#479C22semidirect
196. C61×#475C22semidirect
197. C61×#470C22semidirect
198. C61×#467C22semidirect
199. C61×#441C22semidirect
201. C61×#428C22semidirect
202. C2×#106×C61C22semidirect
833. #3344D61semidirect
912. #501C2×D61semidirect
924. #485C2×D61semidirect
926. #484C2×D61semidirect
929. #483C2×D61semidirect
930. #483C2×D61semidirect
944. #479C2×D61semidirect
965. #475C2×D61semidirect
970. #470C2×D61semidirect
974. #467C2×D61semidirect
1000. #441C2×D61semidirect
1021. #428C2×D61semidirect
1025. C2×#106C2×D61semidirect
1035. C61#62126semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214594302
#214587712
#214587632
#214585902
#214585882
#214583672
#214583652
#214582682
#214581962
#214581942
#214578582
#214578502
#214578422
#214578342
#214576602
#214576522
#214571872
#214571512
#214571342
#214570432
#214570182
#214570012
#214559792
#214559152
#214558242
#214556152
#214556062
C2×#168400512
#214549392
C61×#33442
#6212661