Finite Group Databasebeta

← #30576119

Subgroups — #30576119

Order 15616.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2#21459420C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458776C211yesmaximal, characteristic, complemented
5#21458567C211yesmaximal, characteristic, complemented
6#21458565C211yesmaximal, characteristic, complemented
7#21458314C211yesmaximal, characteristic, complemented
8#21458312C211yesmaximal, characteristic, complemented
9#21458306C211yesmaximal, characteristic, complemented
10#21458304C211yesmaximal, characteristic, complemented
11#21458224C211yesmaximal, characteristic, complemented
12#21458219C211yesmaximal, characteristic, complemented
13#21457976C211yesmaximal, characteristic, complemented
14#21457968C211yesmaximal, characteristic, complemented
15#21457960C211yesmaximal, characteristic, complemented
16#21457673C211yesmaximal, characteristic, complemented
17#21457665C211yesmaximal, characteristic, complemented
18#21457174C211yesmaximal, characteristic, complemented
19#21457138C211yesmaximal, characteristic, complemented
20#21457127C211yesmaximal, characteristic, complemented
21#21457047C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455905C211yesmaximal, characteristic, complemented
26#21455814C211yesmaximal, characteristic, complemented
27#21455613C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29C2×#16840040C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic, complemented
37#16840469C2211yescharacteristic
38#16840469C2211yescharacteristic
39#16840468C2211yescharacteristic, complemented
40#16840464—21no—
41#16840464C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840464C2211yescharacteristic, complemented
44#16840460C2211yescharacteristic, complemented
45#16840458C2211yescharacteristic
46#16840443—21no—
47#16840443—21no—
48#16840421—21no—
49#16840418—21no—
50#16840410—21no—
51#16840406—21no—
52#16840406C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840310C2211yescharacteristic
60#16840309C2211yescharacteristic, complemented
61#16840307C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840293—21no—
65#16840293C2211yescharacteristic
66#16840293C2211yescharacteristic
67#16840268—21no—
68#16840268—21no—
69#16840241—21no—
70C4×#11758224C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61—21no—
73C2×D4×Dic61C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840104C2211yescharacteristic, complemented
87#16840103C2211yescharacteristic, complemented
88#16840098C2211yescharacteristic, complemented
89#16840097C2211yescharacteristic, complemented
90#16840088C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic, complemented
93#16840084C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic
97#16840081C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic
99#16840078C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840070C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic
106#16840064C2211yescharacteristic, complemented
107#16840064C2211yescharacteristic, complemented
108#16840062C2211yescharacteristic
109#16840061C2211yescharacteristic, complemented
110#16840060C2211yescharacteristic
111#16840060C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic, complemented
113#16840056C2211yescharacteristic, complemented
114#16840050C2211yescharacteristic
115#16840050C2211yescharacteristic, complemented
116#16840050C2211yescharacteristic, complemented
117#16840046C2211yescharacteristic, complemented
118#16840046C2211yescharacteristic, complemented
119#16840043C2211yescharacteristic, complemented
120#16840042C2211yescharacteristic, complemented
121#16840040C2211yescharacteristic
122#16840040C2211yescharacteristic
123#16840040C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840013C2211yescharacteristic
132#16840008C2211yescharacteristic, complemented
133#16840006C2211yescharacteristic, complemented
134#16839997C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839996C2211yescharacteristic
137#16839995C2211yescharacteristic, complemented
138#16839995C2211yescharacteristic, complemented
139#16839991C2211yescharacteristic, complemented
140#16839989C2211yescharacteristic, complemented
141#16839976C2211yescharacteristic, complemented
142#16839976C2211yescharacteristic, complemented
143#16839975C2211yescharacteristic, complemented
144#16839975C2211yescharacteristic, complemented
145#16839961C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic, complemented
148#16839955C2211yescharacteristic, complemented
149#16839954C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839896C2211yescharacteristic
153#16839896C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839874C2211yescharacteristic, complemented
158#16839872C2211yescharacteristic
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic, complemented
161#16839864C2211yescharacteristic, complemented
162#16839862C2211yescharacteristic, complemented
163D8×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, 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#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179C2×#14519711C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#553C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224D411yescharacteristic
208C2×#11758224C2311yescharacteristic
209C22×Dic122—21no—
210C23×Dic61—21no—
211C23×Dic61—21no—
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758194C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519769C2311yescharacteristic
238#14519768—21no—
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519765—21no—
244#14519764—21no—
245#14519764—21no—
246#14519764—21no—
247#14519764C2311yescharacteristic
248#14519764C2311yescharacteristic
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519762—21no—
255#14519761—21no—
256#14519761—21no—
257#14519761—21no—
258#14519759—21no—
259#14519758—21no—
260#14519758—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519757—21no—
266#14519756—21no—
267#14519756—21no—
268#14519756C2311yescharacteristic
269#14519756C2311yescharacteristic
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519752C2311yescharacteristic
283#14519751—21no—
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519750—21no—
287#14519750—21no—
288#14519749—21no—
289#14519749—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519748—21no—
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519746—21no—
302#14519746—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307#14519742—21no—
308#14519742—21no—
309#14519742D411yescharacteristic
310#14519742C2311yescharacteristic
311C4×D244C2311yescharacteristic
312D4×Dic61—21no—
313D4×Dic61—21no—
314D4×Dic61—21no—
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61D411yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737D411yescharacteristic
346#14519737D411yescharacteristic
347#14519736C2311yescharacteristic
348#14519735D411yescharacteristic
349#14519735C2311yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519734—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61C2311yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C2×C22⋊Dic61—21no—
367C2×C22⋊Dic61—21no—
368C2×C22⋊Dic61—21no—
369C2×C22⋊Dic61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61—21no—
436C22×D4×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454#120×C61—21no—
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C24×C61—21no—
480C2×D4×C61—22no—
481C2×D4×C61—22no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—41no—
491C2×D4×C61—41no—
492C2×D4×C61—44no—
493C2×D4×C61C2×D411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—82no—
527C22×Dic61—82no—
528C22×Dic61C2×D411yescharacteristic
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531C22×Dic61C2×D411yescharacteristic
532#11758224—22no—
533#11758224—41no—
534#11758224—42no—
535#11758224—44no—
536#11758224—82no—
537#11758224—82no—
538#11758222—82no—
539C2×D244—21no—
540C2×D244C2411yescharacteristic
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—82no—
554C2×Dic122C2×D411yescharacteristic
555C2×Dic122C2411yescharacteristic
556D8×C61—22no—
557D8×C61—41no—
558D8×C61—41no—
559M16×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61C2×D411yescharacteristic
581C22⋊C4×C61C2×D411yescharacteristic
582C42×C61—21no—
583C42×C61C2411yescharacteristic
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61C2×D411yescharacteristic
604C22⋊Dic61C2×D411yescharacteristic
605#11758200—41no—
606#11758199—22no—
607#11758199—41no—
608#11758199—41no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669#11758194—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675#11758190—41no—
676C8×D61—41no—
677C8×D61—41no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—42no—
683C23×C61—42no—
684C23×C61—42no—
685C23×C61—42no—
686C23×C61—81no—
687C23×C61—81no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61C22×D411yescharacteristic
692D4×C61—22no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—42no—
704D4×C61—42no—
705D4×C61—42no—
706D4×C61—81no—
707D4×C61—81no—
708D4×C612−1+412yes—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—42no—
718C2×C4×C61—81no—
719C2×C4×C61—81no—
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C2511yescharacteristic
725C22⋊D61—22no—
726C22⋊D61—41no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C2×Dic61—22no—
736C2×Dic61—22no—
737C2×Dic61—22no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—41no—
746C2×Dic61—42no—
747C2×Dic61—42no—
748C2×Dic61—42no—
749C2×Dic61—42no—
750C2×Dic61—42no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61—81no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766D244—21no—
767D244—21no—
768D244—81no—
769C4×D61—21no—
770C4×D61—21no—
771C4×D61—22no—
772C4×D61—41no—
773C4×D61—42no—
774C4×D61—81no—
775C4×D61—81no—
776Dic122—21no—
777Dic122—21no—
778Dic122—41no—
779Dic122—42no—
780Dic122—42no—
781Dic122—42no—
782Dic122—81no—
783Dic122—81no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#92418—21no—
790#92418—21no—
791#92418—21no—
792#92418—21no—
793#62125—611nomaximal, Sylow
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—22no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—21no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—84no—
812C22×C61—84no—
813C22×C61#57512yes—
814C22×C61C23×D411yescharacteristic
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61C2×2−1+411yescharacteristic
830C4×C61#58511yescharacteristic
831Dic61—21no—
832Dic61—21no—
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389—611no—
849#3370—611no—
850#3370—611no—
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346—611no—
855#3339—611no—
856#3339—611no—
857#3319—611no—
858#3319—611no—
859#3318—611no—
860#3318D6111yescharacteristic, complemented
861#3297—611no—
862#3297—611no—
863#3251—611no—
864#3247—611no—
865#3245—611no—
866#3239—611no—
867#3235—611no—
868#3233—611no—
869#3115—611no—
870#3109—611no—
871#3100—611no—
872#3077—611no—
873#3076—611no—
874C2×#474—611no—
875#2990—611no—
876C2×C61—22no—
877C2×C61—41no—
878C2×C61—42no—
879C2×C61—81no—
880C2×C61—81no—
881C2×C61—81no—
882C2×C61#348911yescharacteristic
883C2×C61C2×#57511yescharacteristic
884C2×C61C2×#57611yescharacteristic
885D61—41no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555—611no—
891#554—611no—
892#554—611no—
893#554—611no—
894#554—611no—
895#553—611no—
896#553—611no—
897#553—611no—
898#553—611no—
899#553—611no—
900#553—1221no—
901#553C2×D6111yescharacteristic
902#551—1221no—
903#551—1221no—
904#548—1221no—
905#548—1221no—
906#547—1221no—
907#546—611no—
908#546—611no—
909#546—1221no—
910D42C2×D6111yescharacteristic
911#542—1221no—
912#542—1221no—
913#537—1221no—
914#533—611no—
915#533—611no—
916#532—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921#529—611no—
922#529—611no—
923#529—1221no—
924#525—1221no—
925#525—1221no—
926#520—1221no—
927C4×#41—611no—
928C4×#41—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—1221no—
932#501—611no—
933#501—611no—
934#501—611no—
935#501—611no—
936#499—611no—
937#499—611no—
938#490—611no—
939#490C2×D6111yescharacteristic
940#489—611no—
941#489—611no—
942#488—611no—
943#488—611no—
944#485—611no—
945#485—611no—
946#484—611no—
947#484—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482C2×D6111yescharacteristic
956#481—611no—
957#481—611no—
958#481—611no—
959#481C2×D6111yescharacteristic
960#480—611no—
961#480—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478C2×D6111yescharacteristic
974#477—611no—
975#476—611no—
976#476—611no—
977#476—611no—
978#475—611no—
979#475—611no—
980#474—611no—
981#474—611no—
982#474—611no—
983#474—611no—
984#474—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#469—611no—
993#469C2×D6111yescharacteristic
994#468—611no—
995#468—611no—
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466—611no—
1001#466C2×D6111yescharacteristic
1002#465—611no—
1003#465—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459C2×D6111yescharacteristic
1014#449—611no—
1015#449—611no—
1016#447—611no—
1017#447—611no—
1018#447C2×D6111yescharacteristic
1019#447C2×D6111yescharacteristic
1020#446—611no—
1021#446—611no—
1022#442—611no—
1023#442—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442C2×D6111yescharacteristic
1028#440—611no—
1029#440—611no—
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8—611no—
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435C2×D6111yescharacteristic
1038C8×D4—611no—
1039C8×D4—611no—
1040#432—611no—
1041#432—611no—
1042#431—611no—
1043#428—611no—
1044#428—611no—
1045#427—611no—
1046#427—611no—
1047C2×#107—611no—
1048C2×#107—611no—
1049#423—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052#418—611no—
1053#418C2×D6111yescharacteristic
1054#416—611no—
1055#416—611no—
1056C2×#102—611no—
1057C2×#102C2×D6111yescharacteristic
1058C61#6212511yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41—1221no—
1064C2×#41—1221no—
1065C22×Q8—1221no—
1066C22×D4—21no—
1067C22×D4C22×D6111yescharacteristic
1068C22×D4C22×D6111yescharacteristic
1069C23×C4—1221no—
1070C23×C4—1221no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8C22×D6111yescharacteristic
1077C2×D8C22×D6111yescharacteristic
1078C2×D8C22×D6111yescharacteristic
1079C2×M16—611no—
1080C2×M16C22×D6111yescharacteristic
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8—611no—
1084C22×C8C22×D6111yescharacteristic
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093#127—611no—
1094#127C22×D6111yescharacteristic
1095#126—21no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—611no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—1221no—
1109#125C22×D6111yescharacteristic
1110#124—611no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#123—21no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150#121—21no—
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121C22×D6111yescharacteristic
1172#121C22×D6111yescharacteristic
1173#121C22×D6111yescharacteristic
1174#121C22×D6111yescharacteristic
1175#120—21no—
1176#120—21no—
1177#120—1221no—
1178#120—1221no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×D4—21no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117C22×D6111yescharacteristic
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4—1221no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C22⋊C4—1221no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107C22×D6111yescharacteristic
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—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—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102C22×D6111yescharacteristic
1313#102C22×D6111yescharacteristic
1314#102C22×D6111yescharacteristic
1315#102C22×D6111yescharacteristic
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8C22×D6111yescharacteristic
1327C22⋊C8C22×D6111yescharacteristic
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331#97C22×D6111yescharacteristic
1332C4×C8—611no—
1333C4×C8—611no—
1334C24—21no—
1335C24—21no—
1336#41—1222no—
1337#41—4882no—
1338#41—4882no—
1339#41—4882no—
1340#41—2442no—
1341#41—2441no—
1342#41—2444no—
1343C2×Q8—611no—
1344C2×Q8—611no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—1221no—
1351C2×Q8—4882no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—44no—
1365C2×D4—611no—
1366C2×D4—611no—
1367C2×D4—611no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4D4×D6111yescharacteristic
1378C2×D4C23×D6111yescharacteristic
1379C2×D4C23×D6111yescharacteristic
1380C2×D4C23×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—4882no—
1409C22×C4—4882no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412SD16—2441no—
1413SD16—2441no—
1414D8—22no—
1415D8—41no—
1416D8—41no—
1417D8—1222no—
1418D8—2441no—
1419D8—2441no—
1420M16—41no—
1421M16—2441no—
1422C2×C8—41no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—2441no—
1428C2×C8—2441no—
1429C2×C8—2441no—
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
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⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4D4×D6111yescharacteristic
1516C22⋊C4D4×D6111yescharacteristic
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—42no—
1541C23—42no—
1542C23—81no—
1543C23—81no—
1544C23—611no—
1545C23—1221no—
1546C23C2×D4×D6111yescharacteristic
1547C23C2×D4×D6111yescharacteristic
1548Q8—1221no—
1549Q8—1221no—
1550Q8—4881no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—22no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—81no—
1572D4—81no—
1573D4—1222no—
1574D4—1221no—
1575D4—1221no—
1576D4—4881no—
1577D4—4881no—
1578D4—4881no—
1579D4—4881no—
1580D4—4881no—
1581D4—2442no—
1582D4—2441no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4#1451982412yes—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—42no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—1222no—
1606C2×C4—1222no—
1607C2×C4—1222no—
1608C2×C4—1222no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—4881no—
1628C2×C4—2441no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2441no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C24×D6111yescharacteristic
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—22no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—84no—
1668C22—1221no—
1669C22—1221no—
1670C22—1221no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22#1684055812yes—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—612no—
1685C4—1221no—
1686C4—1221no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—2441no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4C2×#1451982411yescharacteristic
1699C4#1684059711yescharacteristic
1700C2—22no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—81no—
1706C2—4881no—
1707C2—2441no—
1708C2#2145949011yescharacteristic
1709C2C2×#1684055811yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. #21459420C2semidirect
3. #21458778C2semidirect
4. #21458776C2semidirect
5. #21458567C2semidirect
6. #21458565C2semidirect
7. #21458314C2semidirect
8. #21458312C2semidirect
9. #21458306C2semidirect
10. #21458304C2semidirect
11. #21458224C2semidirect
12. #21458219C2semidirect
13. #21457976C2semidirect
14. #21457968C2semidirect
15. #21457960C2semidirect
16. #21457673C2semidirect
17. #21457665C2semidirect
18. #21457174C2semidirect
19. #21457138C2semidirect
20. #21457127C2semidirect
21. #21457047C2semidirect
22. #21457012C2semidirect
23. #21456995C2semidirect
24. #21455966C2semidirect
25. #21455905C2semidirect
26. #21455814C2semidirect
27. #21455613C2semidirect
28. #21455604C2semidirect
29. C2×#16840040C2semidirect
30. #21454939C2semidirect
31. C61×#3318C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
36. #16840471C22semidirect
39. #16840468C22semidirect
43. #16840464C22semidirect
44. #16840460C22semidirect
57. #16840318C22semidirect
58. #16840315C22semidirect
60. #16840309C22semidirect
61. #16840307C22semidirect
62. #16840307C22semidirect
63. C2×#14519776C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840104C22semidirect
87. #16840103C22semidirect
88. #16840098C22semidirect
89. #16840097C22semidirect
90. #16840088C22semidirect
91. #16840085C22semidirect
92. #16840085C22semidirect
93. #16840084C22semidirect
94. #16840084C22semidirect
95. #16840084C22semidirect
97. #16840081C22semidirect
99. #16840078C22semidirect
100. #16840076C22semidirect
101. #16840073C22semidirect
102. #16840070C22semidirect
103. #16840066C22semidirect
104. #16840065C22semidirect
106. #16840064C22semidirect
107. #16840064C22semidirect
109. #16840061C22semidirect
111. #16840060C22semidirect
112. #16840060C22semidirect
113. #16840056C22semidirect
115. #16840050C22semidirect
116. #16840050C22semidirect
117. #16840046C22semidirect
118. #16840046C22semidirect
119. #16840043C22semidirect
120. #16840042C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
132. #16840008C22semidirect
133. #16840006C22semidirect
134. #16839997C22semidirect
135. #16839997C22semidirect
137. #16839995C22semidirect
138. #16839995C22semidirect
139. #16839991C22semidirect
140. #16839989C22semidirect
141. #16839976C22semidirect
142. #16839976C22semidirect
143. #16839975C22semidirect
144. #16839975C22semidirect
145. #16839961C22semidirect
147. #16839955C22semidirect
148. #16839955C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
157. #16839874C22semidirect
160. #16839871C22semidirect
161. #16839864C22semidirect
162. #16839862C22semidirect
164. D8×Dic61C22semidirect
166. #16839842C22semidirect
167. #16839836C22semidirect
169. #16839831C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
179. C2×#14519711C22semidirect
180. C2×#14519710C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
860. #3318D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214594202
#214587782
#214587762
#214585672
#214585652
#214583142
#214583122
#214583062
#214583042
#214582242
#214582192
#214579762
#214579682
#214579602
#214576732
#214576652
#214571742
#214571382
#214571272
#214570472
#214570122
#214569952
#214559662
#214559052
#214558142
#214556132
#214556042
C2×#168400402
#214549392
C61×#33182
#6212561