Finite Group Databasebeta

← #30575977

Subgroups — #30575977

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459794C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic, complemented
3#21458774C211yesmaximal, characteristic, complemented
4#21458771C211yesmaximal, characteristic, complemented
5#21458588C211yesmaximal, characteristic, complemented
6#21458575C211yesmaximal, characteristic, complemented
7#21458421C211yesmaximal, characteristic, complemented
8#21458382C211yesmaximal, characteristic, complemented
9#21458308C211yesmaximal, characteristic, complemented
10#21458298C211yesmaximal, characteristic, complemented
11#21458285C211yesmaximal, characteristic, complemented
12#21458041C211yesmaximal, characteristic, complemented
13#21458018C211yesmaximal, characteristic, complemented
14#21457962C211yesmaximal, characteristic, complemented
15#21457906C211yesmaximal, characteristic, complemented
16#21457834C211yesmaximal, characteristic, complemented
17#21457778C211yesmaximal, characteristic, complemented
18#21457221C211yesmaximal, characteristic, complemented
19#21457184C211yesmaximal, characteristic, complemented
20#21457172C211yesmaximal, characteristic, complemented
21#21457063C211yesmaximal, characteristic, complemented
22#21457010C211yesmaximal, characteristic, complemented
23#21456990C211yesmaximal, characteristic, complemented
24#21455960C211yesmaximal, characteristic, complemented
25#21455934C211yesmaximal, characteristic, complemented
26#21455869C211yesmaximal, characteristic, complemented
27#21455638C211yesmaximal, characteristic, complemented
28#21455615C211yesmaximal, characteristic, complemented
29C2×#16840061C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3344C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic
35#16840470C2211yescharacteristic, complemented
36#16840468C2211yescharacteristic, complemented
37#16840465—21no—
38#16840460C2211yescharacteristic
39#16840460C2211yescharacteristic
40#16840458C2211yescharacteristic
41#16840456C2211yescharacteristic, complemented
42#16840450—21no—
43#16840448—21no—
44#16840446C2211yescharacteristic, complemented
45#16840445—21no—
46#16840439—21no—
47#16840439—21no—
48#16840413C2211yescharacteristic, complemented
49#16840410—21no—
50#16840407—21no—
51#16840403C2211yescharacteristic
52#16840403C2211yescharacteristic
53D4×D244C2211yescharacteristic
54#16840371—21no—
55#16840356—21no—
56#16840353—21no—
57#16840315C2211yescharacteristic, complemented
58#16840313C2211yescharacteristic
59#16840299C2211yescharacteristic, complemented
60#16840298C2211yescharacteristic
61#16840298C2211yescharacteristic
62#16840298C2211yescharacteristic, complemented
63#16840298C2211yescharacteristic, complemented
64#16840297—21no—
65C2×#14519768C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840275—21no—
68#16840275—21no—
69#16840242—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74C4×D4×D61—21no—
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840123C2211yescharacteristic, complemented
83#16840123C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840101C2211yescharacteristic, complemented
87#16840100C2211yescharacteristic, complemented
88#16840095C2211yescharacteristic, complemented
89#16840088C2211yescharacteristic, complemented
90#16840087C2211yescharacteristic
91#16840086C2211yescharacteristic
92#16840082C2211yescharacteristic, complemented
93#16840082C2211yescharacteristic, complemented
94#16840081C2211yescharacteristic
95#16840080C2211yescharacteristic, complemented
96#16840077C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic
99#16840075C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840067C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic
107#16840065C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic, complemented
110#16840063C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840061C2211yescharacteristic
114#16840061C2211yescharacteristic
115#16840061C2211yescharacteristic, complemented
116#16840061C2211yescharacteristic, complemented
117#16840061C2211yescharacteristic, complemented
118#16840061C2211yescharacteristic, complemented
119#16840061C2211yescharacteristic, complemented
120#16840061C2211yescharacteristic, complemented
121#16840061C2211yescharacteristic, complemented
122#16840059C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840051C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic, complemented
127#16840039C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic, complemented
129#16840016C2211yescharacteristic, complemented
130#16840015C2211yescharacteristic
131#16840011C2211yescharacteristic, complemented
132#16840011C2211yescharacteristic, complemented
133#16840010C2211yescharacteristic
134#16840010C2211yescharacteristic, complemented
135#16839998C2211yescharacteristic
136#16839993C2211yescharacteristic
137#16839993C2211yescharacteristic, complemented
138#16839986C2211yescharacteristic, complemented
139#16839986C2211yescharacteristic, complemented
140#16839986C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic
142#16839980C2211yescharacteristic, complemented
143#16839980C2211yescharacteristic, complemented
144#16839980C2211yescharacteristic, complemented
145#16839980C2211yescharacteristic, complemented
146#16839962C2211yescharacteristic
147#16839958C2211yescharacteristic
148#16839923C2211yescharacteristic
149#16839912C2211yescharacteristic
150#16839912C2211yescharacteristic
151#16839910C2211yescharacteristic
152#16839898C2211yescharacteristic
153#16839898C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic, complemented
159#16839865C2211yescharacteristic
160#16839865C2211yescharacteristic, complemented
161#16839860C2211yescharacteristic
162#16839860C2211yescharacteristic, complemented
163#16839847C2211yescharacteristic
164#16839847C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic
166#16839844C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519710C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
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×#11758222—21no—
206C2×#11758224D411yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C2×D4×D61—21no—
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519774C2311yescharacteristic
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519771—21no—
236#14519770—21no—
237#14519769—21no—
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519766—21no—
254#14519766C2311yescharacteristic
255#14519766C2311yescharacteristic
256#14519766C2311yescharacteristic
257#14519765—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519757—21no—
275#14519757—21no—
276#14519757—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519753—21no—
284#14519753—21no—
285#14519753C2311yescharacteristic
286#14519752—21no—
287#14519752—21no—
288#14519752—21no—
289#14519752—21no—
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519751—21no—
294#14519751—21no—
295#14519751C2311yescharacteristic
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519749—21no—
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×Dic122C2311yescharacteristic
312#14519742D411yescharacteristic
313C4×D244—21no—
314C4×D244—21no—
315C4×D244—21no—
316C4×D244—21no—
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319D4×Dic61D411yescharacteristic
320#14519739—21no—
321#14519739—21no—
322#14519739—21no—
323#14519739—21no—
324#14519739—21no—
325#14519739—21no—
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61C2311yescharacteristic
338C4×C22⋊D61C2311yescharacteristic
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737D411yescharacteristic
346#14519737D411yescharacteristic
347#14519736C2311yescharacteristic
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735D411yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
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#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
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#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
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⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61C2×D411yescharacteristic
494C2×C22⋊D61C2×D411yescharacteristic
495C22×Dic61—21no—
496C22×Dic61C2×D411yescharacteristic
497C22×Dic61C2×D411yescharacteristic
498C22×Dic61C2×D411yescharacteristic
499C22×Dic61C2×D411yescharacteristic
500#11758226—22no—
501#11758226—41no—
502#11758226—82no—
503#11758224—42no—
504D4×D61—44no—
505#11758222—44no—
506C2×D244—22no—
507C2×D244—22no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—41no—
517C2×D244—41no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—82no—
537C2×C4×D61—82no—
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2×D411yescharacteristic
544Q16×C61—41no—
545M16×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
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×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758201—22no—
585#11758201—41no—
586#11758201—41no—
587#11758201—41no—
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#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
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
670D488—22no—
671D488—41no—
672D488—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61—81no—
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—21no—
692Q8×C61—81no—
693D4×C61—22no—
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—21no—
706C2×C4×C61—42no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—22no—
715C22⋊D61—41no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C2×Dic61—22no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—41no—
726C2×Dic61—41no—
727C2×Dic61—41no—
728C2×Dic61—81no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736D244—21no—
737D244—21no—
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—21no—
743D244—42no—
744D244—42no—
745D244—42no—
746D244—42no—
747D244—42no—
748D244—81no—
749D244—81no—
750D244—81no—
751D2442−1+412yes—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770Dic122—41no—
771Dic122—42no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61#57512yes—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—22no—
792C2×D61—21no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344D6111yescharacteristic, complemented
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—41no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—42no—
869D61—81no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554C2×D6111yescharacteristic
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—1221no—
885#552—1221no—
886#552—1221no—
887#552C2×D6111yescharacteristic
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485C2×D6111yescharacteristic, complemented
932#484—611no—
933#484C2×D6111yescharacteristic, complemented
934#483C2×D6111yescharacteristic, complemented
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#476—611no—
972#476—611no—
973#475C2×D6111yescharacteristic, complemented
974#474—611no—
975#474—611no—
976#474—611no—
977#470C2×D6111yescharacteristic, complemented
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467C2×D6111yescharacteristic, complemented
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441C2×D6111yescharacteristic, complemented
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428C2×D6111yescharacteristic, complemented
1032C2×#107—611no—
1033C2×#106C2×D6111yescharacteristic, complemented
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16C22×D6111yescharacteristic
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—21no—
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—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
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—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—611no—
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⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8C22×D6111yescharacteristic
1139C22⋊Q8C22×D6111yescharacteristic
1140C22⋊Q8C22×D6111yescharacteristic
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
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×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106C22×D6111yescharacteristic
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
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—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2444no—
1324#41—2442no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8C23×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2444no—
1355C2×D4D4×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—4882no—
1382C22×C4—4882no—
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—41no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—41no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—41no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
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⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
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⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4D4×D6111yescharacteristic
1497C22⋊C4D4×D6111yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—611no—
1509C42—611no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—4881no—
1522C23—4881no—
1523C23—2442no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23C2×D4×D6111yescharacteristic
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—81no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—22no—
1538D4—612no—
1539D4—1222no—
1540D4—1221no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2441no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2441no—
1607C2×C4—2441no—
1608C2×C4—2441no—
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—1221no—
1628C22—1222no—
1629C22—1221no—
1630C22—1221no—
1631C22—4884no—
1632C22—4884no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684056112yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—1221no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—4881no—
1674C2—4881no—
1675C2—4881no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949311yescharacteristic
1679C2C2×#1684056111yescharacteristic
1680C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3344C2
socleC22×C61C23×D4
hypercenter#3344D61
hypocenterC61#62119
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. #21459794C2semidirect
2. #21459430C2semidirect
3. #21458774C2semidirect
4. #21458771C2semidirect
5. #21458588C2semidirect
6. #21458575C2semidirect
7. #21458421C2semidirect
8. #21458382C2semidirect
9. #21458308C2semidirect
10. #21458298C2semidirect
11. #21458285C2semidirect
12. #21458041C2semidirect
13. #21458018C2semidirect
14. #21457962C2semidirect
15. #21457906C2semidirect
16. #21457834C2semidirect
17. #21457778C2semidirect
18. #21457221C2semidirect
19. #21457184C2semidirect
20. #21457172C2semidirect
21. #21457063C2semidirect
22. #21457010C2semidirect
23. #21456990C2semidirect
24. #21455960C2semidirect
25. #21455934C2semidirect
26. #21455869C2semidirect
27. #21455638C2semidirect
28. #21455615C2semidirect
29. C2×#16840061C2semidirect
30. #21454931C2semidirect
31. C61×#3344C2semidirect
33. #16840488C22semidirect
35. #16840470C22semidirect
36. #16840468C22semidirect
41. #16840456C22semidirect
44. #16840446C22semidirect
48. #16840413C22semidirect
57. #16840315C22semidirect
59. #16840299C22semidirect
62. #16840298C22semidirect
63. #16840298C22semidirect
65. C2×#14519768C22semidirect
66. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840162C22semidirect
79. #16840162C22semidirect
82. #16840123C22semidirect
83. #16840123C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840101C22semidirect
87. #16840100C22semidirect
88. #16840095C22semidirect
89. #16840088C22semidirect
92. #16840082C22semidirect
93. #16840082C22semidirect
95. #16840080C22semidirect
96. #16840077C22semidirect
97. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840071C22semidirect
101. #16840071C22semidirect
102. #16840069C22semidirect
103. #16840067C22semidirect
104. #16840067C22semidirect
105. #16840067C22semidirect
107. #16840065C22semidirect
108. #16840065C22semidirect
109. #16840065C22semidirect
115. #16840061C22semidirect
116. #16840061C22semidirect
117. #16840061C22semidirect
118. #16840061C22semidirect
119. #16840061C22semidirect
120. #16840061C22semidirect
121. #16840061C22semidirect
124. #16840051C22semidirect
126. #16840041C22semidirect
127. #16840039C22semidirect
128. #16840016C22semidirect
129. #16840016C22semidirect
131. #16840011C22semidirect
132. #16840011C22semidirect
134. #16840010C22semidirect
137. #16839993C22semidirect
138. #16839986C22semidirect
139. #16839986C22semidirect
140. #16839986C22semidirect
142. #16839980C22semidirect
143. #16839980C22semidirect
144. #16839980C22semidirect
145. #16839980C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839873C22semidirect
160. #16839865C22semidirect
162. #16839860C22semidirect
164. #16839847C22semidirect
166. #16839844C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839803C22semidirect
176. #16839802C22semidirect
177. #16839801C22semidirect
178. C2×#14519710C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
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
842. #3344D61semidirect
920. #501C2×D61semidirect
931. #485C2×D61semidirect
933. #484C2×D61semidirect
934. #483C2×D61semidirect
935. #483C2×D61semidirect
953. #479C2×D61semidirect
973. #475C2×D61semidirect
977. #470C2×D61semidirect
985. #467C2×D61semidirect
1010. #441C2×D61semidirect
1031. #428C2×D61semidirect
1033. C2×#106C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597942
#214594302
#214587742
#214587712
#214585882
#214585752
#214584212
#214583822
#214583082
#214582982
#214582852
#214580412
#214580182
#214579622
#214579062
#214578342
#214577782
#214572212
#214571842
#214571722
#214570632
#214570102
#214569902
#214559602
#214559342
#214558692
#214556382
#214556152
C2×#168400612
#214549312
C61×#33442
#6211961