Finite Group Databasebeta

← #30577210

Subgroups — #30577210

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460294C211yesmaximal, characteristic, complemented
2#21459925C211yesmaximal, characteristic
3#21458789C211yesmaximal, characteristic, complemented
4#21458754C211yesmaximal, characteristic, complemented
5#21458631C211yesmaximal, characteristic, complemented
6#21458590C211yesmaximal, characteristic, complemented
7#21458367C211yesmaximal, characteristic, complemented
8#21458349C211yesmaximal, characteristic, complemented
9#21458338C211yesmaximal, characteristic, complemented
10#21458300C211yesmaximal, characteristic, complemented
11#21458228C211yesmaximal, characteristic, complemented
12#21457939C211yesmaximal, characteristic, complemented
13#21457933C211yesmaximal, characteristic, complemented
14#21457891C211yesmaximal, characteristic, complemented
15#21457883C211yesmaximal, characteristic, complemented
16#21457759C211yesmaximal, characteristic, complemented
17#21457701C211yesmaximal, characteristic, complemented
18#21457264C211yesmaximal, characteristic, complemented
19#21457248C211yesmaximal, characteristic, complemented
20#21457151C211yesmaximal, characteristic, complemented
21#21457121C211yesmaximal, characteristic, complemented
22#21457075C211yesmaximal, characteristic, complemented
23#21457063C211yesmaximal, characteristic, complemented
24#21456116C211yesmaximal, characteristic, complemented
25#21456036C211yesmaximal, characteristic, complemented
26#21455976C211yesmaximal, characteristic, complemented
27#21455675C211yesmaximal, characteristic, complemented
28#21455658C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454952C211yesmaximal, characteristic, complemented
31C61×#3336C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840514—21no—
34#16840497C2211yescharacteristic
35#16840496—21no—
36Q8×Dic122C2211yescharacteristic
37#16840489—21no—
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840483C2211yescharacteristic
41#16840482C2211yescharacteristic
42#16840480—21no—
43#16840480C2211yescharacteristic
44#16840475—21no—
45#16840475C2211yescharacteristic
46#16840467C2211yescharacteristic
47#16840463—21no—
48#16840460C2211yescharacteristic
49#16840446C2211yescharacteristic
50#16840444—21no—
51#16840433C2211yescharacteristic
52#16840422C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840393C2211yescharacteristic
55#16840392C2211yescharacteristic
56#16840385C2211yescharacteristic
57#16840380—21no—
58#16840378—21no—
59#16840374—21no—
60#16840372C2211yescharacteristic
61#16840371—21no—
62#16840370C2211yescharacteristic
63#16840369—21no—
64#16840368C2211yescharacteristic
65#16840364—21no—
66#16840315C2211yescharacteristic
67#16840314C2211yescharacteristic
68#16840298C2211yescharacteristic
69#16840297—21no—
70#16840292C2211yescharacteristic
71#16840290—21no—
72#16840243C2211yescharacteristic
73#16840238C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840128C2211yescharacteristic
81#16840123C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840109C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840102C2211yescharacteristic
89#16840100C2211yescharacteristic
90#16840100C2211yescharacteristic
91#16840097C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840087C2211yescharacteristic
96#16840086C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840080C2211yescharacteristic
99#16840077C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840071C2211yescharacteristic
102#16840068C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840067C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840066C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840061C2211yescharacteristic
114#16840057C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840056C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840048C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840018C2211yescharacteristic
129#16840011C2211yescharacteristic
130#16840010C2211yescharacteristic
131#16840009C2211yescharacteristic
132#16840001C2211yescharacteristic
133#16839994C2211yescharacteristic
134#16839993C2211yescharacteristic
135#16839992C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839991C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839987C2211yescharacteristic
140#16839986C2211yescharacteristic
141#16839986C2211yescharacteristic
142#16839971C2211yescharacteristic
143#16839970C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839966C2211yescharacteristic
146#16839963C2211yescharacteristic
147#16839962C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839922C2211yescharacteristic
151#16839922C2211yescharacteristic
152#16839919C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839892C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839868C2211yescharacteristic
157#16839868C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839865C2211yescharacteristic
162#16839865C2211yescharacteristic
163#16839861C2211yescharacteristic
164C4×Dic244C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839833C2211yescharacteristic
170#16839830C2211yescharacteristic
171C8×C22⋊D61C2211yescharacteristic
172#16839821C2211yescharacteristic
173#16839820C2211yescharacteristic
174#16839816C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839802C2211yescharacteristic
177#16839798C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839788C2211yescharacteristic
180#16839787C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839759C2211yescharacteristic
186#16839756C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#552C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#499C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic
193C61×#483C2211yescharacteristic
194C61×#483C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#479C2211yescharacteristic
197C61×#467C2211yescharacteristic
198C61×#467C2211yescharacteristic
199C4×Q16×C61C2211yescharacteristic
200C8×D4×C61C2211yescharacteristic
201C61×#427C2211yescharacteristic
202C2×#107×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758194C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775C2311yescharacteristic
231#14519774C2311yescharacteristic
232#14519773—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772D411yescharacteristic
239#14519771—21no—
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765—21no—
271#14519764—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763D411yescharacteristic
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519761D411yescharacteristic
286#14519759—21no—
287#14519759—21no—
288#14519758D411yescharacteristic
289#14519757—21no—
290#14519757—21no—
291#14519757C2311yescharacteristic
292#14519756—21no—
293#14519756—21no—
294#14519756—21no—
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754D411yescharacteristic
305#14519753C2311yescharacteristic
306#14519752—21no—
307#14519752—21no—
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519749D411yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341C4×D244—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61C2311yescharacteristic
354C4×C22⋊D61C2311yescharacteristic
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519736C2311yescharacteristic
359#14519736C2311yescharacteristic
360#14519736C2311yescharacteristic
361#14519735—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734C2311yescharacteristic
371#14519733—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61C2311yescharacteristic
374C2×C4×Dic61C2311yescharacteristic
375C42×D61—21no—
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
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
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C22×C8×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438#126×C61—21no—
439#126×C61—21no—
440#125×C61—21no—
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#123×C61—21no—
445#123×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61—21no—
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×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
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61C2411yescharacteristic
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61C2×D411yescharacteristic
481C22×C4×C61—21no—
482C22×C4×C61—21no—
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C2×C22⋊D61—21no—
486C2×C22⋊D61—21no—
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61C2×D411yescharacteristic
490C2×C22⋊D61C2×D411yescharacteristic
491C22×Dic61C2×D411yescharacteristic
492C22×Dic61C2×D411yescharacteristic
493Q8×D61—22no—
494Q8×D61—41no—
495#11758222—22no—
496#11758222—22no—
497#11758222—41no—
498#11758222—41no—
499C2×D244—21no—
500C2×D244—21no—
501C2×D244—21no—
502C2×D244—21no—
503C2×D244C2411yescharacteristic
504C2×D244C2411yescharacteristic
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61C2411yescharacteristic
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—41no—
525C2×C8×C61—41no—
526C2×C8×C61—41no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61C2×D411yescharacteristic
557C22⋊C4×C61C2×D411yescharacteristic
558C42×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61—21no—
562C42×C61C2411yescharacteristic
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61C2×D411yescharacteristic
568C22⋊Dic61C2×D411yescharacteristic
569C22⋊Dic61C2×D411yescharacteristic
570C22⋊Dic61C2×D411yescharacteristic
571#11758202—22no—
572#11758202—41no—
573#11758201—41no—
574#11758201—41no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594#11758198C2×D411yescharacteristic
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
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#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658#11758194—41no—
659C2×#92418—41no—
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—22no—
665#11758190—41no—
666#11758190—41no—
667#11758189—41no—
668C8×D61—41no—
669C23×C61C22×D411yescharacteristic
670C23×C61C22×D411yescharacteristic
671C22×D61—21no—
672C22×D61—21no—
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678D4×C61—41no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—81no—
692C2×C4×C61—81no—
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C2511yescharacteristic
698C22⋊D61—41no—
699C22⋊D61—41no—
700C22⋊D61—42no—
701C22⋊D61—42no—
702C22⋊D61—81no—
703C22⋊D61—81no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—41no—
711C2×Dic61—41no—
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719D244—21no—
720D244—21no—
721D244—21no—
722D244—21no—
723D244—81no—
724D244—81no—
725D244—81no—
726D244—81no—
727C4×D61—21no—
728C4×D61—21no—
729C4×D61—42no—
730C4×D61—42no—
731C4×D61—42no—
732C4×D61—81no—
733C4×D61—81no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737Dic122—21no—
738Dic122—21no—
739Dic122—21no—
740Dic122—41no—
741Dic122—42no—
742Dic122—42no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62174—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—21no—
764C22×C61C23×D411yescharacteristic
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61C2×2−1+411yescharacteristic
787C4×C61#58511yescharacteristic
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—21no—
794Dic61—22no—
795Dic61—21no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3555—611no—
802#3524—611no—
803#3390—611no—
804#3387—611no—
805#3375—611no—
806#3371—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3346—611no—
811#3340—611no—
812#3336D6111yescharacteristic, complemented
813#3317—611no—
814#3316—611no—
815#3313—611no—
816#3313—611no—
817#3304—611no—
818#3300—611no—
819#3260—611no—
820#3258—611no—
821#3248—611no—
822#3244—611no—
823#3241—611no—
824#3240—611no—
825#3127—611no—
826#3120—611no—
827#3116—611no—
828#3083—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61—41no—
834C2×C61#348911yescharacteristic
835C2×C61#358411yescharacteristic
836C2×C61#358611yescharacteristic
837D61—41no—
838D61—81no—
839D61—81no—
840#563—1221no—
841#563—1221no—
842#559—611no—
843#559—1221no—
844Q82—611no—
845#557—611no—
846#557—611no—
847#557—1221no—
848#556—611no—
849#556—611no—
850#556—611no—
851#556—1221no—
852#555—611no—
853#555—1221no—
854#554—611no—
855#553—611no—
856#553—1221no—
857#552—611no—
858#552—1221no—
859#552C2×D6111yescharacteristic
860#552C2×D6111yescharacteristic
861#550—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—1221no—
868#542—1221no—
869#541—611no—
870#541—611no—
871#541—1221no—
872#541—1221no—
873#541—1221no—
874#540—611no—
875#540—1221no—
876#533—611no—
877#533—611no—
878#529—611no—
879#529—611no—
880#529—1221no—
881#529—1221no—
882#520—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501—611no—
889#499C2×D6111yescharacteristic
890#498—611no—
891#490—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#488—611no—
896#486—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485C2×D6111yescharacteristic
903#485C2×D6111yescharacteristic
904#484—611no—
905#483C2×D6111yescharacteristic
906#483C2×D6111yescharacteristic
907#482—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#481—611no—
913#481—611no—
914#480—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#479C2×D6111yescharacteristic
925#479C2×D6111yescharacteristic
926#478—611no—
927#478—611no—
928#478—611no—
929#478—611no—
930#478—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474—611no—
945#470—611no—
946#468—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467C2×D6111yescharacteristic
951#467C2×D6111yescharacteristic
952#465—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#462—611no—
962#462—611no—
963#461—611no—
964#461—611no—
965#460—611no—
966#460—611no—
967#452—611no—
968#452—611no—
969#452—611no—
970#452—611no—
971#451—611no—
972#451—611no—
973#446—611no—
974#446—611no—
975#441—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×Q16C2×D6111yescharacteristic
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991C8×D4—611no—
992C8×D4C2×D6111yescharacteristic
993#433—611no—
994#433—611no—
995#432—611no—
996#428—611no—
997#428—611no—
998#427—611no—
999#427—611no—
1000#427C2×D6111yescharacteristic
1001C2×#107C2×D6111yescharacteristic
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#417—611no—
1007#416—611no—
1008#416—611no—
1009#416—611no—
1010C2×#103—611no—
1011C61#6217411yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C2×#41—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×Q16C22×D6111yescharacteristic
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×SD16—611no—
1023C2×M16—611no—
1024C2×M16—611no—
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8C22×D6111yescharacteristic
1028C22×C8C22×D6111yescharacteristic
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043#127—611no—
1044#127—1221no—
1045#126—21no—
1046#126—21no—
1047#126—611no—
1048#126—611no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#125—21no—
1064#125—21no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125C22×D6111yescharacteristic
1084#125C22×D6111yescharacteristic
1085#124—611no—
1086#124—611no—
1087#124—611no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#124—1221no—
1096#124—1221no—
1097#123—21no—
1098#123—21no—
1099#123—611no—
1100#123—611no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8C22×D6111yescharacteristic
1127C22⋊Q8C22×D6111yescharacteristic
1128C22⋊Q8C22×D6111yescharacteristic
1129C22⋊Q8C22×D6111yescharacteristic
1130#121—611no—
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4C22×D6111yescharacteristic
1185#117—21no—
1186#117—21no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4C22×D6111yescharacteristic
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107C22×D6111yescharacteristic
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106C22×D6111yescharacteristic
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103C22×D6111yescharacteristic
1258#103C22×D6111yescharacteristic
1259#103C22×D6111yescharacteristic
1260#103C22×D6111yescharacteristic
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8C22×D6111yescharacteristic
1280C22⋊C8C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97—611no—
1285C4×C8—611no—
1286C4×C8C22×D6111yescharacteristic
1287#41—1222no—
1288#41—1222no—
1289#41—2441no—
1290#41—2441no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1222no—
1302C2×Q8—2441no—
1303C2×Q8C23×D6111yescharacteristic
1304C2×Q8C23×D6111yescharacteristic
1305C2×D4—611no—
1306C2×D4—611no—
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—1221no—
1310C2×D4—1221no—
1311C2×D4—1221no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4—1221no—
1317C2×D4D4×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333Q16—41no—
1334Q16—1222no—
1335Q16—1222no—
1336Q16—2441no—
1337SD16—2441no—
1338SD16—2441no—
1339SD16—2441no—
1340SD16—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—41no—
1344C2×C8—41no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—611no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4D4×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C4⋊C4C23×D6111yescharacteristic
1415C4⋊C4C23×D6111yescharacteristic
1416C4⋊C4C23×D6111yescharacteristic
1417C4⋊C4C23×D6111yescharacteristic
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—611no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4D4×D6111yescharacteristic
1453C22⋊C4D4×D6111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42C23×D6111yescharacteristic
1478C23—611no—
1479C23—1221no—
1480C23—1221no—
1481C23C2×D4×D6111yescharacteristic
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—612no—
1488Q8—1221no—
1489Q8—1221no—
1490Q8—1221no—
1491Q8—4881no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—2441no—
1497Q8—2442no—
1498Q8—2442no—
1499D4—41no—
1500D4—1221no—
1501D4—1221no—
1502D4—1221no—
1503D4—1221no—
1504D4—4881no—
1505D4—4881no—
1506D4—4881no—
1507D4—4881no—
1508D4—4881no—
1509D4—4881no—
1510D4—2441no—
1511D4—2441no—
1512D4—2442no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—611no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—4881no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4—2441no—
1552C2×C4—2441no—
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1221no—
1595C4—1222no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—1221no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059811yescharacteristic
1609C2—41no—
1610C2—41no—
1611C2—4881no—
1612C2—4881no—
1613C2—2441no—
1614C2#2145949311yescharacteristic
1615C2#2146058811yescharacteristic
1616C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3336C2
socleC22×C61C23×D4
prime radical#21459925C2
hypercenter#3336D61
hypocenterC61#62174
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3336

Complements

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

NH ≅ G/Ntype
1. #21460294C2semidirect
3. #21458789C2semidirect
4. #21458754C2semidirect
5. #21458631C2semidirect
6. #21458590C2semidirect
7. #21458367C2semidirect
8. #21458349C2semidirect
9. #21458338C2semidirect
10. #21458300C2semidirect
11. #21458228C2semidirect
12. #21457939C2semidirect
13. #21457933C2semidirect
14. #21457891C2semidirect
15. #21457883C2semidirect
16. #21457759C2semidirect
17. #21457701C2semidirect
18. #21457264C2semidirect
19. #21457248C2semidirect
20. #21457151C2semidirect
21. #21457121C2semidirect
22. #21457075C2semidirect
23. #21457063C2semidirect
24. #21456116C2semidirect
25. #21456036C2semidirect
26. #21455976C2semidirect
27. #21455675C2semidirect
28. #21455658C2semidirect
29. #21455605C2semidirect
30. #21454952C2semidirect
31. C61×#3336C2semidirect
812. #3336D61semidirect
1011. C61#62174semidirect

Maximal subgroups

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

subgroupindex
#214602942
#214599252
#214587892
#214587542
#214586312
#214585902
#214583672
#214583492
#214583382
#214583002
#214582282
#214579392
#214579332
#214578912
#214578832
#214577592
#214577012
#214572642
#214572482
#214571512
#214571212
#214570752
#214570632
#214561162
#214560362
#214559762
#214556752
#214556582
#214556052
#214549522
C61×#33362
#6217461