Finite Group Databasebeta

← #30575975

Subgroups — #30575975

Order 15616.

1782 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459796C211yesmaximal, characteristic, complemented
2#21459430C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458587C211yesmaximal, characteristic, complemented
5#21458574C211yesmaximal, characteristic, complemented
6#21458423C211yesmaximal, characteristic, complemented
7#21458376C211yesmaximal, characteristic, complemented
8#21458311C211yesmaximal, characteristic, complemented
9#21458303C211yesmaximal, characteristic, complemented
10#21458288C211yesmaximal, characteristic, complemented
11#21458271C211yesmaximal, characteristic, complemented
12#21458040C211yesmaximal, characteristic, complemented
13#21458017C211yesmaximal, characteristic, complemented
14#21457957C211yesmaximal, characteristic, complemented
15#21457905C211yesmaximal, characteristic, complemented
16#21457845C211yesmaximal, characteristic, complemented
17#21457777C211yesmaximal, characteristic, complemented
18#21457222C211yesmaximal, characteristic, complemented
19#21457184C211yesmaximal, characteristic, complemented
20#21457173C211yesmaximal, characteristic, complemented
21#21457062C211yesmaximal, characteristic, complemented
22#21457010C211yesmaximal, characteristic, complemented
23#21456988C211yesmaximal, characteristic, complemented
24#21455961C211yesmaximal, characteristic, complemented
25#21455932C211yesmaximal, characteristic, complemented
26#21455870C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455617C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3388C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840473C2211yescharacteristic
34#16840472C2211yescharacteristic, complemented
35#16840472C2211yescharacteristic, complemented
36#16840465C2211yescharacteristic
37#16840465C2211yescharacteristic
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic, complemented
40#16840460—21no—
41#16840453—21no—
42#16840453C2211yescharacteristic
43#16840453C2211yescharacteristic, complemented
44#16840444—21no—
45#16840444—21no—
46#16840439—21no—
47#16840439—21no—
48#16840415—21no—
49#16840415C2211yescharacteristic, complemented
50#16840407C2211yescharacteristic
51#16840407C2211yescharacteristic
52#16840403—21no—
53D4×D244C2211yescharacteristic
54#16840373—21no—
55#16840360—21no—
56#16840360—21no—
57#16840317C2211yescharacteristic, complemented
58#16840313C2211yescharacteristic
59#16840299C2211yescharacteristic, complemented
60#16840299C2211yescharacteristic, complemented
61#16840299C2211yescharacteristic, complemented
62#16840298—21no—
63#16840297C2211yescharacteristic
64#16840297C2211yescharacteristic
65#125×D61C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840275—21no—
68#16840275—21no—
69#16840244—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840168C2211yescharacteristic, complemented
77#16840161C2211yescharacteristic, complemented
78#16840128C2211yescharacteristic
79#16840127C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840119C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840106C2211yescharacteristic, complemented
85#16840106C2211yescharacteristic, complemented
86#16840102C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840096C2211yescharacteristic, complemented
89#16840094C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840089C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic
95#16840082C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic
99#16840077C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840077C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840066C2211yescharacteristic, complemented
107#16840065C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic
110#16840063C2211yescharacteristic, complemented
111#16840062C2211yescharacteristic
112#16840062C2211yescharacteristic
113#16840061C2211yescharacteristic, complemented
114#16840061C2211yescharacteristic, complemented
115#16840061C2211yescharacteristic, complemented
116#16840061C2211yescharacteristic, complemented
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840059C2211yescharacteristic, complemented
120#16840059C2211yescharacteristic, complemented
121#16840059C2211yescharacteristic, complemented
122#16840049C2211yescharacteristic, complemented
123#16840043C2211yescharacteristic, complemented
124#16840042C2211yescharacteristic
125#16840039C2211yescharacteristic, complemented
126#16840019C2211yescharacteristic, complemented
127#16840016C2211yescharacteristic
128#16840016C2211yescharacteristic, complemented
129#16840016C2211yescharacteristic, complemented
130#16840011C2211yescharacteristic
131#16840011C2211yescharacteristic, complemented
132#16840011C2211yescharacteristic, complemented
133#16840009C2211yescharacteristic, complemented
134#16840002C2211yescharacteristic, complemented
135#16839999C2211yescharacteristic
136#16839994C2211yescharacteristic
137#16839992C2211yescharacteristic, complemented
138#16839987C2211yescharacteristic, complemented
139#16839984C2211yescharacteristic, complemented
140#16839984C2211yescharacteristic, complemented
141#16839980C2211yescharacteristic, complemented
142#16839980C2211yescharacteristic, complemented
143#16839979C2211yescharacteristic
144#16839978C2211yescharacteristic, complemented
145#16839978C2211yescharacteristic, complemented
146#16839962C2211yescharacteristic
147#16839958C2211yescharacteristic
148#16839921C2211yescharacteristic
149#16839911C2211yescharacteristic
150#16839911C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839875C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839867C2211yescharacteristic, complemented
159#16839864C2211yescharacteristic, complemented
160#16839860C2211yescharacteristic, complemented
161C4×#11758201C2211yescharacteristic, complemented
162C4×D488C2211yescharacteristic, complemented
163C4×#11758199C2211yescharacteristic
164#16839841C2211yescharacteristic, complemented
165#16839839C2211yescharacteristic, complemented
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic, complemented
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic, complemented
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839801C2211yescharacteristic, complemented
175#16839801C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#557C2211yescharacteristic, complemented
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#479C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#476C2211yescharacteristic
198C61×#475C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226—21no—
205C2×#11758226D411yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×D244—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519774C2311yescharacteristic
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519771—21no—
238#14519769—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519766—21no—
252#14519766—21no—
253#14519766C2311yescharacteristic
254#14519765C2311yescharacteristic
255#14519765C2311yescharacteristic
256#14519762—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519761—21no—
272#14519761—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519753—21no—
281#14519753—21no—
282#14519753—21no—
283#14519753—21no—
284#14519753—21no—
285#14519753C2311yescharacteristic
286#14519753C2311yescharacteristic
287#14519753C2311yescharacteristic
288#14519752—21no—
289#14519752—21no—
290#14519752—21no—
291#14519752—21no—
292#14519752—21no—
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751—21no—
303#14519747—21no—
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307Q8×Dic61—21no—
308Q8×Dic61D411yescharacteristic
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311#14519742C2311yescharacteristic
312C4×D244—21no—
313C4×D244—21no—
314C4×D244—21no—
315C4×D244—21no—
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739—21no—
330#14519739—21no—
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739D411yescharacteristic
335#14519739D411yescharacteristic
336#14519739D411yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735D411yescharacteristic
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519733—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×#11758198—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493#11758226—42no—
494#11758226—44no—
495#11758226—82no—
496#11758224—22no—
497#11758224—41no—
498D4×D61—22no—
499D4×D61—22no—
500D4×D61—41no—
501D4×D61—41no—
502C2×D244—21no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—44no—
512C2×D244C2×D411yescharacteristic
513C2×D244C2×D411yescharacteristic
514C2×D244C2×D411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
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—82no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61—21no—
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581#11758202—41no—
582#11758201—41no—
583#11758201—41no—
584#11758199—22no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—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
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666D488—41no—
667D488—41no—
668#11758190—41no—
669#11758189—41no—
670#11758189—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—42no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61—81no—
685C22×D61C22×D411yescharacteristic
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—41no—
691Q8×C61—42no—
692Q8×C61—81no—
693D4×C61—21no—
694D4×C612−1+412yes—
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—42no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C2511yescharacteristic
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—42no—
721C2×Dic61—42no—
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727D244—22no—
728D244—22no—
729D244—21no—
730D244—21no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—21no—
735D244—41no—
736D244—42no—
737D244—42no—
738D244—42no—
739D244—42no—
740D244—42no—
741D244—81no—
742D244—81no—
743D244—81no—
744D244—81no—
745C4×D61—22no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770Dic122—21no—
771Dic122—21no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61C2×2−1+411yescharacteristic
820C4×C61#58511yescharacteristic
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388D6111yescharacteristic, complemented
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61#348911yescharacteristic
864C2×C61C2×#57511yescharacteristic
865C2×C61#358511yescharacteristic
866D61—22no—
867D61—41no—
868D61—41no—
869D61—81no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557C2×D6111yescharacteristic, complemented
874#554—611no—
875#554—611no—
876#554—611no—
877#554C2×D6111yescharacteristic
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501C2×D6111yescharacteristic, complemented
920#501C2×D6111yescharacteristic, complemented
921#499—611no—
922#499C2×D6111yescharacteristic, complemented
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479C2×D6111yescharacteristic, complemented
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478C2×D6111yescharacteristic
970#478C2×D6111yescharacteristic
971#476—611no—
972#476C2×D6111yescharacteristic
973#475C2×D6111yescharacteristic, complemented
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446C2×D6111yescharacteristic, complemented
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440C2×D6111yescharacteristic
1014#440C2×D6111yescharacteristic
1015C4×SD16—611no—
1016C4×SD16C2×D6111yescharacteristic
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—21no—
1068C4⋊Q8—611no—
1069C4⋊Q8C22×D6111yescharacteristic
1070C4⋊Q8C22×D6111yescharacteristic
1071#127—611no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
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—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—21no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8C22×D6111yescharacteristic
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
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—1221no—
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×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8C22×D6111yescharacteristic
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2441no—
1324#41—2442no—
1325#41—2444no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8D4×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—2444no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—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—4882no—
1384C22×C4—4882no—
1385Q16—2441no—
1386SD16—22no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
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⋊C4—1221no—
1451C4⋊C4D4×D6111yescharacteristic
1452C4⋊C4D4×D6111yescharacteristic
1453C4⋊C4D4×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—4881no—
1524C23—4881no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23—2442no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—81no—
1534Q8—1221no—
1535Q8—1221no—
1536Q8—4881no—
1537D4—21no—
1538D4—1222no—
1539D4—1222no—
1540D4—1221no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—2441no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982512yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—1222no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—2441no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—612no—
1626C22—1221no—
1627C22—1221no—
1628C22—1221no—
1629C22—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—4884no—
1635C22—4884no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982511yescharacteristic
1670C4#1684059911yescharacteristic
1671C2—42no—
1672C2—1222no—
1673C2—4881no—
1674C2—4881no—
1675C2—4881no—
1676C2—2441no—
1677C2—2441no—
1678C2#2145949611yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3388C2
socleC22×C61C23×D4
hypercenter#3388D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21459796C2semidirect
2. #21459430C2semidirect
3. #21458773C2semidirect
4. #21458587C2semidirect
5. #21458574C2semidirect
6. #21458423C2semidirect
7. #21458376C2semidirect
8. #21458311C2semidirect
9. #21458303C2semidirect
10. #21458288C2semidirect
11. #21458271C2semidirect
12. #21458040C2semidirect
13. #21458017C2semidirect
14. #21457957C2semidirect
15. #21457905C2semidirect
16. #21457845C2semidirect
17. #21457777C2semidirect
18. #21457222C2semidirect
19. #21457184C2semidirect
20. #21457173C2semidirect
21. #21457062C2semidirect
22. #21457010C2semidirect
23. #21456988C2semidirect
24. #21455961C2semidirect
25. #21455932C2semidirect
26. #21455870C2semidirect
27. #21455636C2semidirect
28. #21455617C2semidirect
29. #478×D61C2semidirect
30. #21454935C2semidirect
31. C61×#3388C2semidirect
34. #16840472C22semidirect
35. #16840472C22semidirect
39. #16840465C22semidirect
43. #16840453C22semidirect
49. #16840415C22semidirect
57. #16840317C22semidirect
59. #16840299C22semidirect
60. #16840299C22semidirect
61. #16840299C22semidirect
65. #125×D61C22semidirect
66. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840119C22semidirect
83. #16840117C22semidirect
84. #16840106C22semidirect
85. #16840106C22semidirect
86. #16840102C22semidirect
87. #16840099C22semidirect
88. #16840096C22semidirect
89. #16840094C22semidirect
90. #16840091C22semidirect
93. #16840089C22semidirect
95. #16840082C22semidirect
96. #16840082C22semidirect
97. #16840082C22semidirect
99. #16840077C22semidirect
100. #16840077C22semidirect
101. #16840077C22semidirect
102. #16840072C22semidirect
103. #16840070C22semidirect
104. #16840068C22semidirect
105. #16840068C22semidirect
106. #16840066C22semidirect
107. #16840065C22semidirect
108. #16840065C22semidirect
110. #16840063C22semidirect
113. #16840061C22semidirect
114. #16840061C22semidirect
115. #16840061C22semidirect
116. #16840061C22semidirect
119. #16840059C22semidirect
120. #16840059C22semidirect
121. #16840059C22semidirect
122. #16840049C22semidirect
123. #16840043C22semidirect
125. #16840039C22semidirect
126. #16840019C22semidirect
128. #16840016C22semidirect
129. #16840016C22semidirect
131. #16840011C22semidirect
132. #16840011C22semidirect
133. #16840009C22semidirect
134. #16840002C22semidirect
137. #16839992C22semidirect
138. #16839987C22semidirect
139. #16839984C22semidirect
140. #16839984C22semidirect
141. #16839980C22semidirect
142. #16839980C22semidirect
144. #16839978C22semidirect
145. #16839978C22semidirect
154. #16839893C22semidirect
155. #16839875C22semidirect
158. #16839867C22semidirect
159. #16839864C22semidirect
160. #16839860C22semidirect
161. C4×#11758201C22semidirect
162. C4×D488C22semidirect
164. #16839841C22semidirect
165. #16839839C22semidirect
167. #16839835C22semidirect
169. #16839832C22semidirect
170. #16839817C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
173. #16839803C22semidirect
174. #16839801C22semidirect
175. #16839801C22semidirect
176. #16839801C22semidirect
177. #107×D61C22semidirect
178. #106×D61C22semidirect
179. #16839784C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#557C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
193. C61×#479C22semidirect
194. C61×#479C22semidirect
198. C61×#475C22semidirect
199. C61×#446C22semidirect
834. #3388D61semidirect
873. #557C2×D61semidirect
919. #501C2×D61semidirect
920. #501C2×D61semidirect
922. #499C2×D61semidirect
952. #479C2×D61semidirect
953. #479C2×D61semidirect
973. #475C2×D61semidirect
1006. #446C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597962
#214594302
#214587732
#214585872
#214585742
#214584232
#214583762
#214583112
#214583032
#214582882
#214582712
#214580402
#214580172
#214579572
#214579052
#214578452
#214577772
#214572222
#214571842
#214571732
#214570622
#214570102
#214569882
#214559612
#214559322
#214558702
#214556362
#214556172
#478×D612
#214549352
C61×#33882
#6211961