Finite Group Databasebeta

← #30575881

Subgroups — #30575881

Order 15616.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459719C211yesmaximal, characteristic, complemented
2#21459370C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458645C211yesmaximal, characteristic, complemented
6#21458643C211yesmaximal, characteristic, complemented
7#21458385C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458336C211yesmaximal, characteristic, complemented
10#21458334C211yesmaximal, characteristic, complemented
11#21458325C211yesmaximal, characteristic, complemented
12#21458317C211yesmaximal, characteristic, complemented
13#21458024C211yesmaximal, characteristic, complemented
14#21458016C211yesmaximal, characteristic, complemented
15#21457975C211yesmaximal, characteristic, complemented
16#21457799C211yesmaximal, characteristic, complemented
17#21457791C211yesmaximal, characteristic, complemented
18#21457201C211yesmaximal, characteristic, complemented
19#21457178C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455905C211yesmaximal, characteristic, complemented
26#21455872C211yesmaximal, characteristic, complemented
27#21455627C211yesmaximal, characteristic, complemented
28#21455613C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3319C211yesmaximal, characteristic, complemented
32#16840481C2211yescharacteristic
33#16840480—21no—
34#16840477C2211yescharacteristic
35#16840476C2211yescharacteristic
36#16840473C2211yescharacteristic, complemented
37#16840471C2211yescharacteristic
38#16840469C2211yescharacteristic, complemented
39#16840459C2211yescharacteristic
40#16840459C2211yescharacteristic, complemented
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic, complemented
43#16840455—21no—
44#16840454C2211yescharacteristic
45#16840452C2211yescharacteristic
46#16840449—21no—
47#16840443—21no—
48#16840438—21no—
49#16840420—21no—
50#16840420—21no—
51#16840412—21no—
52#16840411C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840376—21no—
55#16840376—21no—
56#16840341—21no—
57#16840315C2211yescharacteristic
58#16840315C2211yescharacteristic, complemented
59#16840314C2211yescharacteristic
60#16840309C2211yescharacteristic, complemented
61#16840307C2211yescharacteristic
62#16840307C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840293—21no—
65#16840293C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840289—21no—
68#16840268—21no—
69#16840242—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×D4×Dic61C2211yescharacteristic
74C2×#14519733—21no—
75#16840171C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840129C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840104C2211yescharacteristic
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic
89#16840103C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic
91#16840091C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic
99#16840078C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840071C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic
106#16840064C2211yescharacteristic
107#16840064C2211yescharacteristic
108#16840064C2211yescharacteristic, complemented
109#16840063C2211yescharacteristic, complemented
110#16840062C2211yescharacteristic, complemented
111#16840060C2211yescharacteristic
112#16840060C2211yescharacteristic
113#16840060C2211yescharacteristic
114#16840056C2211yescharacteristic, complemented
115#16840056C2211yescharacteristic, complemented
116#16840055C2211yescharacteristic, complemented
117#16840055C2211yescharacteristic, complemented
118#16840050C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840048C2211yescharacteristic, complemented
123#16840046C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840044C2211yescharacteristic, complemented
126#16840042C2211yescharacteristic
127#16840041C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840014C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840011C2211yescharacteristic, complemented
134#16840010C2211yescharacteristic
135#16840008C2211yescharacteristic
136#16840006C2211yescharacteristic
137#16840005C2211yescharacteristic, complemented
138#16839996C2211yescharacteristic
139#16839991C2211yescharacteristic, complemented
140#16839989C2211yescharacteristic, complemented
141#16839976C2211yescharacteristic
142#16839975C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839966C2211yescharacteristic, complemented
145#16839965C2211yescharacteristic, complemented
146#16839961C2211yescharacteristic, complemented
147#16839960C2211yescharacteristic, complemented
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839904C2211yescharacteristic
153#16839896C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839874C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839864C2211yescharacteristic, complemented
162#16839862C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164#16839847C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839803C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic, complemented
179#16839800C2211yescharacteristic, complemented
180#16839798C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839760C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224D411yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61—21no—
209C23×Dic61—21no—
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519775C2311yescharacteristic
227#14519773C2311yescharacteristic
228#14519772—21no—
229#14519771—21no—
230#14519771—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519764—21no—
248#14519764C2311yescharacteristic
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519761—21no—
256#14519760—21no—
257#14519759—21no—
258#14519759—21no—
259#14519759—21no—
260#14519758—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519758—21no—
266#14519757—21no—
267#14519756—21no—
268#14519756—21no—
269#14519756C2311yescharacteristic
270#14519756C2311yescharacteristic
271#14519754—21no—
272#14519754—21no—
273#14519754—21no—
274#14519754—21no—
275#14519754—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519753—21no—
282#14519753—21no—
283#14519753C2311yescharacteristic
284#14519752C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519751C2311yescharacteristic
287#14519750—21no—
288#14519750—21no—
289#14519750—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748—21no—
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519746—21no—
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309#14519742—21no—
310#14519742D411yescharacteristic
311#14519742C2311yescharacteristic
312C4×D244—21no—
313C4×D244—21no—
314C4×D244C2311yescharacteristic
315D4×Dic61—21no—
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61—21no—
319D4×Dic61—21no—
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61C2311yescharacteristic
333C4×C22⋊D61C2311yescharacteristic
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737D411yescharacteristic
341#14519737D411yescharacteristic
342#14519736—21no—
343#14519736C2311yescharacteristic
344#14519736C2311yescharacteristic
345#14519736C2311yescharacteristic
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735C2311yescharacteristic
349#14519733—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—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×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C2×C22⋊Dic61—21no—
368C2×C22⋊Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
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
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61—21no—
445#124×C61C2311yescharacteristic
446#123×C61—21no—
447C22⋊Q8×C61C2311yescharacteristic
448#121×C61—21no—
449#121×C61—21no—
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×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—
479#41×C61—22no—
480#41×C61—41no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—22no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—44no—
518C22×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522Q8×D61—82no—
523#11758224—22no—
524#11758224—41no—
525#11758224—42no—
526#11758224—82no—
527#11758224—82no—
528#11758222—44no—
529C2×D244—21no—
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122C2×D411yescharacteristic
545C2×Dic122C2411yescharacteristic
546SD16×C61—41no—
547D8×C61—22no—
548D8×C61—41no—
549M16×C61—41no—
550C2×C8×C61—41no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61C2×D411yescharacteristic
573C22⋊C4×C61C2×D411yescharacteristic
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
594C22⋊Dic61C2×D411yescharacteristic
595#11758201—41no—
596#11758200—41no—
597#11758199—22no—
598#11758199—41no—
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#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—81no—
681C23×C61C22×D411yescharacteristic
682C23×C61C22×D411yescharacteristic
683C22×D61—21no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—81no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—41no—
694D4×C61—42no—
695D4×C61—42no—
696D4×C61—81no—
697D4×C61—81no—
698D4×C61—81no—
699D4×C612−1+412yes—
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—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—42no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—41no—
718C22⋊D61—41no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—22no—
727C2×Dic61—22no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—41no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753D244—21no—
754D244—21no—
755D244—42no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—22no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765Dic122—21no—
766Dic122—21no—
767Dic122—41no—
768Dic122—42no—
769Dic122—42no—
770Dic122—42no—
771Dic122—81no—
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#62115—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—22no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—84no—
798C22×C61C23×D411yescharacteristic
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#57512yes—
830#3511—611no—
831#3475—611no—
832#3389—611no—
833#3389—611no—
834#3376—611no—
835#3376—611no—
836#3351—611no—
837#3351—611no—
838#3348—611no—
839#3348—611no—
840#3347—611no—
841#3347—611no—
842#3322—611no—
843#3322—611no—
844#3319—611no—
845#3319D6111yescharacteristic, complemented
846#3307—611no—
847#3307—611no—
848#3254—611no—
849#3251—611no—
850#3247—611no—
851#3238—611no—
852#3237—611no—
853#3233—611no—
854#3115—611no—
855#3109—611no—
856#3106—611no—
857#3079—611no—
858#3077—611no—
859#3076—611no—
860#2989—611no—
861C2×C61—41no—
862C2×C61—41no—
863C2×C61—42no—
864C2×C61—81no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—41no—
870D61—81no—
871#556—611no—
872#556—1221no—
873#555—611no—
874#555—611no—
875#555C2×D6111yescharacteristic
876#554—611no—
877#554—611no—
878#554—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—1221no—
884#552—611no—
885#552—611no—
886#552—1221no—
887#551—1221no—
888#551—1221no—
889#548—1221no—
890#548—1221no—
891#547—611no—
892#547—1221no—
893#546—611no—
894#546C2×D6111yescharacteristic
895#542—1221no—
896#542—1221no—
897#537—1221no—
898#533—611no—
899#533—611no—
900#533—611no—
901#532—611no—
902#532—611no—
903#532—611no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#525—1221no—
910#520—1221no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×#117—1221no—
916#501—611no—
917#501—611no—
918#501—611no—
919#501—611no—
920#499—611no—
921#499—611no—
922#491—611no—
923#491—611no—
924#489—611no—
925#489C2×D6111yescharacteristic
926#488—611no—
927#488—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485C2×D6111yescharacteristic
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482C2×D6111yescharacteristic
942#481—611no—
943#481—611no—
944#480—611no—
945#480—611no—
946#479—611no—
947#479—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#477—611no—
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474C2×D6111yescharacteristic
976#469—611no—
977#469—611no—
978#468—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#468C2×D6111yescharacteristic
984#466—611no—
985#466C2×D6111yescharacteristic
986#465—611no—
987#465—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#463C2×D6111yescharacteristic
992#461—611no—
993#461—611no—
994#460—611no—
995#460—611no—
996#459—611no—
997#459—611no—
998#449—611no—
999#449—611no—
1000#449—611no—
1001#449C2×D6111yescharacteristic
1002#447—611no—
1003#447C2×D6111yescharacteristic
1004#446—611no—
1005#446—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#442C2×D6111yescharacteristic
1012#440—611no—
1013#440—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018#436—611no—
1019#436—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435C2×D6111yescharacteristic
1024#432—611no—
1025#432—611no—
1026#431—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#427—611no—
1032#427—611no—
1033#423—611no—
1034#423—611no—
1035C2×C4⋊C8—611no—
1036#418—611no—
1037#418C2×D6111yescharacteristic
1038#417—611no—
1039#417—611no—
1040#416—611no—
1041#416C2×D6111yescharacteristic
1042C61#6211511yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41C22×D6111yescharacteristic
1049C22×Q8—1221no—
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—1221no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8C22×D6111yescharacteristic
1059C2×D8C22×D6111yescharacteristic
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C22×C8—611no—
1065C22×C8C22×D6111yescharacteristic
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#124—21no—
1096#124—21no—
1097#124—611no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124C22×D6111yescharacteristic
1106#123—21no—
1107#123—1221no—
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—
1118C22⋊Q8—611no—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8C22×D6111yescharacteristic
1137#121—21no—
1138#121—21no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#120—21no—
1159#120—1221no—
1160C4×Q8—611no—
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×Q8—1221no—
1170C4×Q8—1221no—
1171C4×D4—611no—
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—1221no—
1187C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—21no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—1221no—
1239C2×C42—1221no—
1240#107—611no—
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#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264C4⋊C8—611no—
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⋊C8C22×D6111yescharacteristic
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8C22×D6111yescharacteristic
1311C22⋊C8C22×D6111yescharacteristic
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316C4×C8—611no—
1317C4×C8—611no—
1318C24—21no—
1319#41—22no—
1320#41—41no—
1321#41—1222no—
1322#41—4882no—
1323#41—4882no—
1324#41—2444no—
1325#41—2442no—
1326#41—2441no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—4882no—
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—22no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—41no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4D4×D6111yescharacteristic
1356C2×D4C23×D6111yescharacteristic
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
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—1221no—
1382C22×C4—1221no—
1383C22×C4—2444no—
1384C22×C4C23×D6111yescharacteristic
1385C22×C4C23×D6111yescharacteristic
1386SD16—41no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—41no—
1392D8—1222no—
1393D8—2441no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397M16—2441no—
1398C2×C8—41no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—2441no—
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4D4×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
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⋊C4D4×D6111yescharacteristic
1494C22⋊C4D4×D6111yescharacteristic
1495C42—21no—
1496C42—21no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—42no—
1519C23—42no—
1520C23—81no—
1521C23—611no—
1522C23—1221no—
1523C23C2×D4×D6111yescharacteristic
1524C23C2×D4×D6111yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—81no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—4881no—
1531Q8—4881no—
1532Q8—2441no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—42no—
1543D4—42no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2441no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
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—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—1222no—
1580C2×C4—1222no—
1581C2×C4—1222no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—2441no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2441no—
1603C2×C4—2441no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C24×D6111yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C22—21no—
1622C22—21no—
1623C22—22no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—84no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22C22×D4×D6111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—612no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4C2×#1451982411yescharacteristic
1668C4#1684059711yescharacteristic
1669C2—41no—
1670C2—41no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—4881no—
1675C2—2441no—
1676C2#2145949011yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3319C2
socleC22×C61C23×D4
hypercenter#3319D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21459719C2semidirect
2. #21459370C2semidirect
3. #21458778C2semidirect
4. #21458772C2semidirect
5. #21458645C2semidirect
6. #21458643C2semidirect
7. #21458385C2semidirect
8. #21458377C2semidirect
9. #21458336C2semidirect
10. #21458334C2semidirect
11. #21458325C2semidirect
12. #21458317C2semidirect
13. #21458024C2semidirect
14. #21458016C2semidirect
15. #21457975C2semidirect
16. #21457799C2semidirect
17. #21457791C2semidirect
18. #21457201C2semidirect
19. #21457178C2semidirect
20. #21457138C2semidirect
21. #21457036C2semidirect
22. #21457030C2semidirect
23. #21456995C2semidirect
24. #21455966C2semidirect
25. #21455905C2semidirect
26. #21455872C2semidirect
27. #21455627C2semidirect
28. #21455613C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3319C2semidirect
36. #16840473C22semidirect
38. #16840469C22semidirect
40. #16840459C22semidirect
42. #16840456C22semidirect
58. #16840315C22semidirect
60. #16840309C22semidirect
62. #16840307C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840171C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
81. #16840129C22semidirect
82. #16840129C22semidirect
87. #16840104C22semidirect
89. #16840103C22semidirect
91. #16840091C22semidirect
92. #16840091C22semidirect
93. #16840088C22semidirect
94. #16840087C22semidirect
95. #16840084C22semidirect
97. #16840083C22semidirect
102. #16840071C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
108. #16840064C22semidirect
109. #16840063C22semidirect
110. #16840062C22semidirect
114. #16840056C22semidirect
115. #16840056C22semidirect
116. #16840055C22semidirect
117. #16840055C22semidirect
122. #16840048C22semidirect
123. #16840046C22semidirect
124. #16840045C22semidirect
125. #16840044C22semidirect
127. #16840041C22semidirect
130. #16840040C22semidirect
133. #16840011C22semidirect
137. #16840005C22semidirect
139. #16839991C22semidirect
140. #16839989C22semidirect
144. #16839966C22semidirect
145. #16839965C22semidirect
146. #16839961C22semidirect
147. #16839960C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
161. #16839864C22semidirect
162. #16839862C22semidirect
163. SD16×Dic61C22semidirect
164. #16839847C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
174. #16839812C22semidirect
177. #16839803C22semidirect
178. #16839803C22semidirect
179. #16839800C22semidirect
180. #16839798C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
845. #3319D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597192
#214593702
#214587782
#214587722
#214586452
#214586432
#214583852
#214583772
#214583362
#214583342
#214583252
#214583172
#214580242
#214580162
#214579752
#214577992
#214577912
#214572012
#214571782
#214571382
#214570362
#214570302
#214569952
#214559662
#214559052
#214558722
#214556272
#214556132
#214556032
#214549312
C61×#33192
#6211561