Finite Group Databasebeta

← #30575885

Subgroups — #30575885

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#21459384C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458774C211yesmaximal, characteristic, complemented
5#21458653C211yesmaximal, characteristic, complemented
6#21458651C211yesmaximal, characteristic, complemented
7#21458383C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21458328C211yesmaximal, characteristic, complemented
10#21458323C211yesmaximal, characteristic, complemented
11#21458315C211yesmaximal, characteristic, complemented
12#21458026C211yesmaximal, characteristic, complemented
13#21458018C211yesmaximal, characteristic, complemented
14#21457977C211yesmaximal, characteristic, complemented
15#21457969C211yesmaximal, characteristic, complemented
16#21457801C211yesmaximal, characteristic, complemented
17#21457793C211yesmaximal, characteristic, complemented
18#21457201C211yesmaximal, characteristic, complemented
19#21457180C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455874C211yesmaximal, characteristic, complemented
27#21455629C211yesmaximal, characteristic, complemented
28#21455615C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3348C211yesmaximal, characteristic, complemented
32#16840484C2211yescharacteristic
33#16840480—21no—
34#16840477C2211yescharacteristic
35#16840475C2211yescharacteristic
36#16840473C2211yescharacteristic, complemented
37#16840469C2211yescharacteristic, complemented
38#16840468C2211yescharacteristic
39#16840463—21no—
40#16840459C2211yescharacteristic
41#16840459C2211yescharacteristic, complemented
42#16840456C2211yescharacteristic
43#16840456C2211yescharacteristic, complemented
44#16840447C2211yescharacteristic
45#16840444—21no—
46#16840436—21no—
47#16840435—21no—
48#16840420—21no—
49#16840420—21no—
50#16840414C2211yescharacteristic
51#16840412—21no—
52#16840408C2211yescharacteristic
53#16840403C2211yescharacteristic
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#16840298C2211yescharacteristic
65#16840297—21no—
66#16840297C2211yescharacteristic
67#16840295—21no—
68#16840270—21no—
69#16840242—21no—
70C4×#11758226C2211yescharacteristic
71#16840230C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74#117×D61—21no—
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840129C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840124C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840104C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840100C2211yescharacteristic
89#16840100C2211yescharacteristic, complemented
90#16840094C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840086C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840080C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840077C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840065C2211yescharacteristic
104#16840065C2211yescharacteristic
105#16840061C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840061C2211yescharacteristic
108#16840061C2211yescharacteristic, complemented
109#16840060C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840055C2211yescharacteristic, complemented
114#16840055C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840047C2211yescharacteristic, complemented
120#16840046C2211yescharacteristic, complemented
121#16840045C2211yescharacteristic, complemented
122#16840043C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840039C2211yescharacteristic
128#16840016C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840010C2211yescharacteristic
131#16840009C2211yescharacteristic, complemented
132#16840008C2211yescharacteristic
133#16840007C2211yescharacteristic, complemented
134#16840006C2211yescharacteristic
135#16839998C2211yescharacteristic
136#16839996C2211yescharacteristic
137#16839993C2211yescharacteristic, complemented
138#16839980C2211yescharacteristic
139#16839979C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839977C2211yescharacteristic
142#16839966C2211yescharacteristic, complemented
143#16839965C2211yescharacteristic, complemented
144#16839961C2211yescharacteristic, complemented
145#16839960C2211yescharacteristic, complemented
146#16839956C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839906C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839898C2211yescharacteristic
153#16839895C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic
159#16839872C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839871C2211yescharacteristic
162#16839860C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic
176#16839801C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#481C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#475C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C2×Q8×D61—21no—
210C22×D244C2311yescharacteristic
211C22×C4×D61—21no—
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×D488C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519771—21no—
238#14519771—21no—
239#14519770—21no—
240#14519770—21no—
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519766C2311yescharacteristic
249#14519765—21no—
250#14519765C2311yescharacteristic
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519761—21no—
262#14519760—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519758—21no—
267#14519758—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757C2311yescharacteristic
271#14519756—21no—
272#14519756C2311yescharacteristic
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519753—21no—
284#14519753—21no—
285#14519752—21no—
286#14519752C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519751C2311yescharacteristic
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519749—21no—
298#14519749—21no—
299#14519748—21no—
300#14519748—21no—
301#14519748—21no—
302#14519748C2311yescharacteristic
303#14519747—21no—
304#14519745—21no—
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742D411yescharacteristic
313#14519742C2311yescharacteristic
314#14519742C2311yescharacteristic
315C4×D244—21no—
316C4×D244—21no—
317C4×D244—21no—
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320D4×Dic61D411yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323#14519739—21no—
324#14519739—21no—
325#14519739—21no—
326#14519739—21no—
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61C2311yescharacteristic
336C4×C22⋊D61C2311yescharacteristic
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737D411yescharacteristic
345#14519737D411yescharacteristic
346#14519736—21no—
347#14519736C2311yescharacteristic
348#14519736C2311yescharacteristic
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
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#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61—21no—
443#124×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61—21no—
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61C2×D411yescharacteristic
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504#11758226—22no—
505#11758226—41no—
506Q8×D61—82no—
507#11758224—42no—
508#11758224—82no—
509#11758224—82no—
510#11758222—22no—
511#11758222—41no—
512#11758222—44no—
513C2×D244—22no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—41no—
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—44no—
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—
547M16×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61C2×D411yescharacteristic
576C22⋊C4×C61C2×D411yescharacteristic
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61—21no—
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758201—41no—
591#11758200—41no—
592#11758199—22no—
593#11758199—41no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670D488—22no—
671D488—41no—
672#11758190—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—81no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—41no—
691D4×C61—81no—
692D4×C61—81no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—42no—
705C2×C4×C61—42no—
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C2511yescharacteristic
711C22⋊D61—41no—
712C22⋊D61—41no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—22no—
721C2×Dic61—22no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—41no—
728C2×Dic61—41no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—21no—
743D244—42no—
744D244—42no—
745D244—42no—
746D244—81no—
747D2442−1+412yes—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—22no—
751C4×D61—41no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—81no—
760C4×D61—81no—
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—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—22no—
795C2×D61—21no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
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×C61—41no—
815C4×C61—41no—
816C4×C61C2×2−1+411yescharacteristic
817C4×C61#58511yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
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#3348D6111yescharacteristic, complemented
840#3347—611no—
841#3347—611no—
842#3322—611no—
843#3322—611no—
844#3319—611no—
845#3319—611no—
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—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—42no—
869D61—81no—
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—1221no—
886#552C2×D6111yescharacteristic
887#551—1221no—
888#551—1221no—
889#548—1221no—
890#548—1221no—
891#547—611no—
892#547—1221no—
893#546—611no—
894#546—611no—
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#501C2×D6111yescharacteristic, complemented
920#499—611no—
921#499—611no—
922#491—611no—
923#491—611no—
924#489—611no—
925#489—611no—
926#488—611no—
927#488—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485C2×D6111yescharacteristic
933#485C2×D6111yescharacteristic, complemented
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482C2×D6111yescharacteristic, complemented
942#481—611no—
943#481C2×D6111yescharacteristic
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#478C2×D6111yescharacteristic, complemented
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#475C2×D6111yescharacteristic, complemented
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
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#466—611no—
986#465—611no—
987#465C2×D6111yescharacteristic, complemented
988#463—611no—
989#463—611no—
990#463—611no—
991#463—611no—
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#449—611no—
1002#447—611no—
1003#447—611no—
1004#446—611no—
1005#446—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#442—611no—
1012#440—611no—
1013#440C2×D6111yescharacteristic, complemented
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#428C2×D6111yescharacteristic
1031#427—611no—
1032#427C2×D6111yescharacteristic, complemented
1033#423—611no—
1034#423—611no—
1035C2×C4⋊C8—611no—
1036#418—611no—
1037#418—611no—
1038#417—611no—
1039#417—611no—
1040#416—611no—
1041#416—611no—
1042C61#6211511yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C22×Q8—1221no—
1050C22×D4—611no—
1051C23×C4—1221no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16C22×D6111yescharacteristic
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×D8—611no—
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—21no—
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—21no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#124—21no—
1096#124—21no—
1097#124—611no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
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—1221no—
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⋊Q8C22×D6111yescharacteristic
1136C22⋊Q8C22×D6111yescharacteristic
1137#121—21no—
1138#121—611no—
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#121—1221no—
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#120—1221no—
1159#120—1221no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
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—611no—
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×D4—1221no—
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—21no—
1205#117—21no—
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#117C22×D6111yescharacteristic
1222#117C22×D6111yescharacteristic
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4—1221no—
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#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
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#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
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—1221no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—2441no—
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—21no—
1338C2×D4—21no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—1222no—
1345C2×D4—1221no—
1346C2×D4—1221no—
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×D4—1221no—
1356C2×D4—2441no—
1357C2×D4D4×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—2444no—
1384C22×C4C23×D6111yescharacteristic
1385C22×C4C23×D6111yescharacteristic
1386SD16—41no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—1222no—
1392D8—2441no—
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—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×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—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊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—21no—
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42C23×D6111yescharacteristic
1515C23—21no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—4881no—
1521C23—2442no—
1522C23—2442no—
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—41no—
1539D4—81no—
1540D4—81no—
1541D4—612no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2441no—
1556D4—2441no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1222no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
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—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2441no—
1607C2×C4—2441no—
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—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—1221no—
1631C22—1222no—
1632C22—1221no—
1633C22—1221no—
1634C22—4884no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
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—41no—
1654C4—41no—
1655C4—612no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C42−1+4×D6111yescharacteristic
1668C4#1684059811yescharacteristic
1669C2—41no—
1670C2—41no—
1671C2—81no—
1672C2—4881no—
1673C2—4881no—
1674C2—2441no—
1675C2—2442no—
1676C2#2145949311yescharacteristic
1677C2#575×D6111yescharacteristic
1678C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3348C2
socleC22×C61C23×D4
hypercenter#3348D61
hypocenterC61#62115
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #21459719C2semidirect
2. #21459384C2semidirect
3. #21458776C2semidirect
4. #21458774C2semidirect
5. #21458653C2semidirect
6. #21458651C2semidirect
7. #21458383C2semidirect
8. #21458375C2semidirect
9. #21458328C2semidirect
10. #21458323C2semidirect
11. #21458315C2semidirect
12. #21458026C2semidirect
13. #21458018C2semidirect
14. #21457977C2semidirect
15. #21457969C2semidirect
16. #21457801C2semidirect
17. #21457793C2semidirect
18. #21457201C2semidirect
19. #21457180C2semidirect
20. #21457140C2semidirect
21. #21457041C2semidirect
22. #21457030C2semidirect
23. #21457001C2semidirect
24. #21455968C2semidirect
25. #21455907C2semidirect
26. #21455874C2semidirect
27. #21455629C2semidirect
28. #21455615C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3348C2semidirect
36. #16840473C22semidirect
37. #16840469C22semidirect
41. #16840459C22semidirect
43. #16840456C22semidirect
58. #16840315C22semidirect
60. #16840309C22semidirect
62. #16840307C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
80. #16840129C22semidirect
81. #16840129C22semidirect
89. #16840100C22semidirect
90. #16840094C22semidirect
91. #16840094C22semidirect
92. #16840089C22semidirect
95. #16840086C22semidirect
96. #16840085C22semidirect
100. #16840072C22semidirect
101. #16840068C22semidirect
108. #16840061C22semidirect
109. #16840060C22semidirect
110. #16840059C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
113. #16840055C22semidirect
114. #16840055C22semidirect
119. #16840047C22semidirect
120. #16840046C22semidirect
121. #16840045C22semidirect
125. #16840041C22semidirect
126. #16840040C22semidirect
131. #16840009C22semidirect
133. #16840007C22semidirect
137. #16839993C22semidirect
142. #16839966C22semidirect
143. #16839965C22semidirect
144. #16839961C22semidirect
145. #16839960C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
162. #16839860C22semidirect
163. #16839853C22semidirect
164. #16839849C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
174. #16839812C22semidirect
176. #16839801C22semidirect
177. #16839801C22semidirect
178. #16839798C22semidirect
180. #16839784C22semidirect
181. C2×#14519706C22semidirect
190. C61×#501C22semidirect
192. C61×#485C22semidirect
193. C61×#482C22semidirect
195. C61×#478C22semidirect
196. C61×#475C22semidirect
198. C61×#465C22semidirect
199. C61×#440C22semidirect
202. C61×#427C22semidirect
839. #3348D61semidirect
919. #501C2×D61semidirect
933. #485C2×D61semidirect
941. #482C2×D61semidirect
957. #478C2×D61semidirect
969. #475C2×D61semidirect
987. #465C2×D61semidirect
1013. #440C2×D61semidirect
1032. #427C2×D61semidirect
1042. C61#62115semidirect

Maximal subgroups

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

subgroupindex
#214597192
#214593842
#214587762
#214587742
#214586532
#214586512
#214583832
#214583752
#214583282
#214583232
#214583152
#214580262
#214580182
#214579772
#214579692
#214578012
#214577932
#214572012
#214571802
#214571402
#214570412
#214570302
#214570012
#214559682
#214559072
#214558742
#214556292
#214556152
#214556052
#214549312
C61×#33482
#6211561