Finite Group Databasebeta

← #30576133

Subgroups — #30576133

Order 15616.

1832 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459727C211yesmaximal, characteristic, complemented
2#21459428C211yesmaximal, characteristic, complemented
3#21458779C211yesmaximal, characteristic, complemented
4#21458773C211yesmaximal, characteristic, complemented
5#21458566C211yesmaximal, characteristic, complemented
6#21458326C211yesmaximal, characteristic, complemented
7#21458324C211yesmaximal, characteristic, complemented
8#21458311C211yesmaximal, characteristic, complemented
9#21458309C211yesmaximal, characteristic, complemented
10#21458223C211yesmaximal, characteristic, complemented
11#21458218C211yesmaximal, characteristic, complemented
12#21457982C211yesmaximal, characteristic, complemented
13#21457974C211yesmaximal, characteristic, complemented
14#21457967C211yesmaximal, characteristic, complemented
15#21457959C211yesmaximal, characteristic, complemented
16#21457676C211yesmaximal, characteristic, complemented
17#21457668C211yesmaximal, characteristic, complemented
18#21457178C211yesmaximal, characteristic, complemented
19#21457142C211yesmaximal, characteristic, complemented
20#21457127C211yesmaximal, characteristic, complemented
21#21457045C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29#474×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3370C211yesmaximal, characteristic, complemented
32#16840483—21no—
33#16840478C2211yescharacteristic, complemented
34#16840477C2211yescharacteristic, complemented
35#16840472C2211yescharacteristic
36#16840472C2211yescharacteristic
37#16840472C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic, complemented
40#16840462—21no—
41#16840462C2211yescharacteristic
42#16840462C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840462C2211yescharacteristic, complemented
45#16840440—21no—
46#16840440—21no—
47#16840422—21no—
48#16840422—21no—
49#16840413—21no—
50#16840405—21no—
51#16840405C2211yescharacteristic
52#16840405C2211yescharacteristic
53#16840397C2211yescharacteristic
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic, complemented
58#16840318C2211yescharacteristic, complemented
59#16840310C2211yescharacteristic
60#16840309C2211yescharacteristic, complemented
61#16840309C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840291—21no—
65#16840291C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840270—21no—
68#16840270—21no—
69#16840243—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840161C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840116C2211yescharacteristic, complemented
84#16840102C2211yescharacteristic, complemented
85#16840101C2211yescharacteristic, complemented
86#16840096C2211yescharacteristic, complemented
87#16840096C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic, complemented
89#16840085C2211yescharacteristic
90#16840085C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic, complemented
93#16840084C2211yescharacteristic
94#16840084C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840079C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic
104#16840063C2211yescharacteristic
105#16840063C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic, complemented
108#16840062C2211yescharacteristic, complemented
109#16840062C2211yescharacteristic, complemented
110#16840059C2211yescharacteristic
111#16840059C2211yescharacteristic
112#16840055C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic
114#16840050C2211yescharacteristic, complemented
115#16840050C2211yescharacteristic, complemented
116#16840045C2211yescharacteristic, complemented
117#16840045C2211yescharacteristic, complemented
118#16840043C2211yescharacteristic
119#16840043C2211yescharacteristic, complemented
120#16840042C2211yescharacteristic, complemented
121#16840042C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840040C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840039C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840012C2211yescharacteristic
131#16840011C2211yescharacteristic, complemented
132#16840005C2211yescharacteristic, complemented
133#16839997C2211yescharacteristic
134#16839997C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839995C2211yescharacteristic
137#16839995C2211yescharacteristic, complemented
138#16839995C2211yescharacteristic, complemented
139#16839994C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839974C2211yescharacteristic, complemented
142#16839974C2211yescharacteristic, complemented
143#16839960C2211yescharacteristic, complemented
144#16839956C2211yescharacteristic
145#16839955C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic, complemented
147#16839954C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839906C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839875C2211yescharacteristic
156#16839875C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839872C2211yescharacteristic, complemented
160#16839860C2211yescharacteristic, complemented
161C4×D488C2211yescharacteristic
162C4×#11758199C2211yescharacteristic
163C4×#11758199C2211yescharacteristic, complemented
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic, complemented
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic, complemented
168C8×D244C2211yescharacteristic, complemented
169#16839827C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic, complemented
171#16839817C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839801C2211yescharacteristic, complemented
175#16839799C2211yescharacteristic, complemented
176#16839797C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#107×D61C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180C4⋊C8×D61C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#474C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#463C2211yescharacteristic, complemented
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×D8×C61C2211yescharacteristic, complemented
203C2×#11758226D411yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758224—21no—
209C2×Q8×D61—21no—
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519777C2311yescharacteristic
228#14519776—21no—
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775—21no—
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519766—21no—
248#14519766—21no—
249#14519764—21no—
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519762—21no—
256#14519762—21no—
257#14519760—21no—
258#14519760—21no—
259#14519760—21no—
260#14519760—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519755—21no—
266#14519755—21no—
267#14519755—21no—
268#14519755—21no—
269#14519755—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519753—21no—
276#14519753—21no—
277#14519753C2311yescharacteristic
278#14519753C2311yescharacteristic
279#14519752—21no—
280#14519752—21no—
281#14519752—21no—
282#14519752C2311yescharacteristic
283#14519752C2311yescharacteristic
284#14519752C2311yescharacteristic
285#14519751—21no—
286#14519750—21no—
287#14519750—21no—
288#14519750—21no—
289#14519750—21no—
290#14519750—21no—
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748C2311yescharacteristic
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519747—21no—
306#14519745—21no—
307#14519745—21no—
308Q8×Dic61D411yescharacteristic
309Q8×Dic61C2311yescharacteristic
310#14519742—21no—
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314C4×D244—21no—
315C4×D244—21no—
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61—21no—
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328#14519739—21no—
329#14519739—21no—
330#14519739—21no—
331#14519739D411yescharacteristic
332#14519739D411yescharacteristic
333#14519739D411yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519736—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735D411yescharacteristic
352#14519735D411yescharacteristic
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519733—21no—
360#14519733—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
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#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
436C2×D8×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#127×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×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
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506#11758226—22no—
507#11758226—42no—
508#11758226—41no—
509Q8×D61—82no—
510#11758224—82no—
511D4×D61—22no—
512D4×D61—22no—
513D4×D61—41no—
514D4×D61—41no—
515D4×D61—44no—
516#11758222—44no—
517#11758222—82no—
518#11758222—82no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244C2×D411yescharacteristic
524C2×D244C2×D411yescharacteristic
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
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—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—82no—
541C2×C4×D61—82no—
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×C4×D61C2411yescharacteristic
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556SD16×C61—41no—
557D8×C61—41no—
558D8×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598#11758201—41no—
599#11758199—22no—
600#11758199—41no—
601#11758199—41no—
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#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671D488—22no—
672#11758189—41no—
673#11758189—41no—
674C8×D61—41no—
675C8×D61—41no—
676C8×D61—41no—
677C8×D61—41no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—42no—
686C22×D61—42no—
687C22×D61—81no—
688C22×D61—81no—
689C22×D61C22×D411yescharacteristic
690C22×D61C22×D411yescharacteristic
691C22×D61C22×D411yescharacteristic
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—41no—
695Q8×C61—81no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—42no—
703D4×C61—81no—
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—81no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C2511yescharacteristic
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745D244—22no—
746D244—22no—
747D244—21no—
748D244—21no—
749D244—21no—
750D244—41no—
751D244—42no—
752D244—42no—
753D244—81no—
754D244—81no—
755D2442−1+412yes—
756C4×D61—22no—
757C4×D61—21no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—22no—
764C4×D61—22no—
765C4×D61—22no—
766C4×D61—41no—
767C4×D61—41no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779C4×D61—81no—
780Dic122—42no—
781Dic122—42no—
782Dic122—42no—
783Dic122—81no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61—21no—
788C8×C61—21no—
789#92418—21no—
790#92418—21no—
791#92418—21no—
792#92418—21no—
793#62125—611nomaximal, Sylow
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61C23×D411yescharacteristic
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—22no—
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—21no—
812C2×D61—21no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—84no—
819C2×D61—84no—
820C2×D61#57512yes—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61C2×2−1+411yescharacteristic
833C4×C61#58511yescharacteristic
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389—611no—
849#3370—611no—
850#3370D6111yescharacteristic, complemented
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346—611no—
855#3339—611no—
856#3339—611no—
857#3319—611no—
858#3319—611no—
859#3318—611no—
860#3318—611no—
861#3297—611no—
862#3297—611no—
863#3251—611no—
864#3247—611no—
865#3245—611no—
866#3239—611no—
867#3235—611no—
868#3233—611no—
869#3115—611no—
870#3109—611no—
871#3100—611no—
872#3077—611no—
873#3076—611no—
874C2×#474—611no—
875#2990—611no—
876C2×C61—81no—
877C2×C61—81no—
878C2×C61—81no—
879C2×C61#348911yescharacteristic
880C2×C61C2×#57511yescharacteristic
881C2×C61C2×#57611yescharacteristic
882D61—22no—
883D61—41no—
884D61—41no—
885D61—42no—
886D61—81no—
887#559C2×D6111yescharacteristic
888#556—1221no—
889#555—611no—
890#555—611no—
891#554—611no—
892#554—611no—
893#554—611no—
894#554C2×D6111yescharacteristic, complemented
895#553—611no—
896#553—611no—
897#553—611no—
898#553—611no—
899#553—611no—
900#553—611no—
901#553—1221no—
902#551—1221no—
903#551—1221no—
904#548—1221no—
905#548—1221no—
906#547—1221no—
907#546—611no—
908#546—611no—
909#546—1221no—
910D42—611no—
911#542—1221no—
912#542—1221no—
913#537—1221no—
914#533—611no—
915#533—611no—
916#532—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921#529—611no—
922#529—611no—
923#529—1221no—
924#525—1221no—
925#525—1221no—
926#520—1221no—
927C4×#41—611no—
928C4×#41—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—1221no—
932#501—611no—
933#501—611no—
934#501—611no—
935#501—611no—
936#499—611no—
937#499—611no—
938#490—611no—
939#490C2×D6111yescharacteristic
940#489—611no—
941#489C2×D6111yescharacteristic, complemented
942#488—611no—
943#488C2×D6111yescharacteristic, complemented
944#485—611no—
945#485—611no—
946#484—611no—
947#484—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482—611no—
956#481—611no—
957#481—611no—
958#481—611no—
959#481—611no—
960#480—611no—
961#480—611no—
962#479—611no—
963#479C2×D6111yescharacteristic, complemented
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478C2×D6111yescharacteristic, complemented
974#477—611no—
975#476—611no—
976#476—611no—
977#476—611no—
978#475—611no—
979#475—611no—
980#474—611no—
981#474—611no—
982#474—611no—
983#474—611no—
984#474—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474C2×D6111yescharacteristic, complemented
992#469—611no—
993#469—611no—
994#468—611no—
995#468—611no—
996#466—611no—
997#466—611no—
998#466—611no—
999#466—611no—
1000#466—611no—
1001#466—611no—
1002#465—611no—
1003#465—611no—
1004#463—611no—
1005#463—611no—
1006#463C2×D6111yescharacteristic, complemented
1007#463C2×D6111yescharacteristic, complemented
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459C2×D6111yescharacteristic
1014#449—611no—
1015#449—611no—
1016#447—611no—
1017#447—611no—
1018#447—611no—
1019#447—611no—
1020#446—611no—
1021#446C2×D6111yescharacteristic, complemented
1022#442—611no—
1023#442—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442C2×D6111yescharacteristic, complemented
1028#440—611no—
1029#440C2×D6111yescharacteristic, complemented
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8C2×D6111yescharacteristic, complemented
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435—611no—
1038C8×D4—611no—
1039C8×D4—611no—
1040#432—611no—
1041#432—611no—
1042#431—611no—
1043#428—611no—
1044#428—611no—
1045#427—611no—
1046#427—611no—
1047C2×#107—611no—
1048C2×#107—611no—
1049#423—611no—
1050C2×C4⋊C8—611no—
1051C2×C4⋊C8—611no—
1052#418—611no—
1053#418—611no—
1054#416—611no—
1055#416—611no—
1056C2×#102—611no—
1057C2×#102—611no—
1058C61#6212511yescharacteristic, complemented, Sylow
1059C2×#41—611no—
1060C2×#41—611no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41—1221no—
1064C2×#41—1221no—
1065C22×Q8—1221no—
1066C22×D4—611no—
1067C22×D4—611no—
1068C22×D4—1221no—
1069C23×C4—1221no—
1070C23×C4—1221no—
1071C2×SD16—611no—
1072C2×SD16C22×D6111yescharacteristic
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—611no—
1077C2×D8C22×D6111yescharacteristic
1078C2×D8C22×D6111yescharacteristic
1079C2×M16—611no—
1080C2×M16—611no—
1081C22×C8—611no—
1082C22×C8—611no—
1083C22×C8—611no—
1084C22×C8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8C22×D6111yescharacteristic
1093#127—611no—
1094#127C22×D6111yescharacteristic
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—611no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—1221no—
1108#125C22×D6111yescharacteristic
1109#125C22×D6111yescharacteristic
1110#124—21no—
1111#124—1221no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124C22×D6111yescharacteristic
1120#124C22×D6111yescharacteristic
1121#123—21no—
1122#123—21no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—611no—
1137C22⋊Q8—611no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—611no—
1159#121—611no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#120—1221no—
1176#120—1221no—
1177#120—1221no—
1178#120—1221no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—1221no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8C22×D6111yescharacteristic
1186C4×Q8C22×D6111yescharacteristic
1187C4×D4—21no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4C22×D6111yescharacteristic
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227#117—611no—
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C22⋊C4—1221no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C22⋊C4—1221no—
1252C2×C42—611no—
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8C22×D6111yescharacteristic
1288C4⋊C8C22×D6111yescharacteristic
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102C22×D6111yescharacteristic
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8—611no—
1327C22⋊C8—611no—
1328#97—611no—
1329#97—611no—
1330#97C22×D6111yescharacteristic
1331#97C22×D6111yescharacteristic
1332C4×C8—611no—
1333C4×C8C22×D6111yescharacteristic
1334C24—1221no—
1335C24—1221no—
1336#41—1222no—
1337#41—4882no—
1338#41—4882no—
1339#41—4882no—
1340#41—2444no—
1341#41—2442no—
1342#41—2441no—
1343C2×Q8—21no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—4882no—
1350C2×Q8D4×D6111yescharacteristic
1351C2×Q8C23×D6111yescharacteristic
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1222no—
1368C2×D4—1222no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2444no—
1379C2×D4C23×D6111yescharacteristic
1380C2×D4C23×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—4882no—
1411C22×C4—4882no—
1412SD16—41no—
1413SD16—2441no—
1414D8—41no—
1415D8—41no—
1416D8—1222no—
1417D8—1222no—
1418D8—2441no—
1419D8—2441no—
1420M16—2441no—
1421M16—2441no—
1422C2×C8—611no—
1423C2×C8—611no—
1424C2×C8—611no—
1425C2×C8—611no—
1426C2×C8—2441no—
1427C2×C8—2441no—
1428C2×C8—2441no—
1429C2×C8—2441no—
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4D4×D6111yescharacteristic
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42C23×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—611no—
1540C23—1221no—
1541C23—1221no—
1542C23—4881no—
1543C23—4881no—
1544C23—2442no—
1545C23—2442no—
1546C23—2442no—
1547C23—2442no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—81no—
1552Q8—4881no—
1553Q8—4881no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—81no—
1565D4—612no—
1566D4—1222no—
1567D4—1222no—
1568D4—1221no—
1569D4—1221no—
1570D4—1221no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2442no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—42no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—1222no—
1603C2×C4—1222no—
1604C2×C4—1222no—
1605C2×C4—1222no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—2441no—
1627C2×C4—2441no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4C2×D4×D6111yescharacteristic
1635C2×C4C2×D4×D6111yescharacteristic
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C24×D6111yescharacteristic
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—612no—
1659C22—1221no—
1660C22—1221no—
1661C22—1221no—
1662C22—1221no—
1663C22—1222no—
1664C22—1221no—
1665C22—1221no—
1666C22—1221no—
1667C22—1221no—
1668C22—4884no—
1669C22—4884no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—612no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C42−1+4×D6111yescharacteristic
1699C4#1684059811yescharacteristic
1700C2—81no—
1701C2—81no—
1702C2—81no—
1703C2—1222no—
1704C2—4881no—
1705C2—2441no—
1706C2—2441no—
1707C2—2442no—
1708C2#2145949811yescharacteristic
1709C2#575×D6111yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3370C2
socleC22×C61C23×D4
hypercenter#3370D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459428C2semidirect
3. #21458779C2semidirect
4. #21458773C2semidirect
5. #21458566C2semidirect
6. #21458326C2semidirect
7. #21458324C2semidirect
8. #21458311C2semidirect
9. #21458309C2semidirect
10. #21458223C2semidirect
11. #21458218C2semidirect
12. #21457982C2semidirect
13. #21457974C2semidirect
14. #21457967C2semidirect
15. #21457959C2semidirect
16. #21457676C2semidirect
17. #21457668C2semidirect
18. #21457178C2semidirect
19. #21457142C2semidirect
20. #21457127C2semidirect
21. #21457045C2semidirect
22. #21457012C2semidirect
23. #21456993C2semidirect
24. #21455968C2semidirect
25. #21455908C2semidirect
26. #21455817C2semidirect
27. #21455614C2semidirect
28. #21455606C2semidirect
29. #474×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3370C2semidirect
33. #16840478C22semidirect
34. #16840477C22semidirect
37. #16840472C22semidirect
39. #16840465C22semidirect
44. #16840462C22semidirect
57. #16840318C22semidirect
58. #16840318C22semidirect
60. #16840309C22semidirect
61. #16840309C22semidirect
62. #16840309C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840168C22semidirect
79. #16840164C22semidirect
80. #16840161C22semidirect
82. #16840121C22semidirect
83. #16840116C22semidirect
84. #16840102C22semidirect
85. #16840101C22semidirect
86. #16840096C22semidirect
87. #16840096C22semidirect
88. #16840089C22semidirect
90. #16840085C22semidirect
91. #16840085C22semidirect
92. #16840085C22semidirect
94. #16840084C22semidirect
95. #16840084C22semidirect
96. #16840082C22semidirect
99. #16840079C22semidirect
100. #16840077C22semidirect
101. #16840074C22semidirect
102. #16840069C22semidirect
105. #16840063C22semidirect
106. #16840063C22semidirect
107. #16840062C22semidirect
108. #16840062C22semidirect
109. #16840062C22semidirect
112. #16840055C22semidirect
114. #16840050C22semidirect
115. #16840050C22semidirect
116. #16840045C22semidirect
117. #16840045C22semidirect
119. #16840043C22semidirect
120. #16840042C22semidirect
121. #16840042C22semidirect
124. #16840040C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
131. #16840011C22semidirect
132. #16840005C22semidirect
134. #16839997C22semidirect
135. #16839997C22semidirect
137. #16839995C22semidirect
138. #16839995C22semidirect
139. #16839994C22semidirect
140. #16839988C22semidirect
141. #16839974C22semidirect
142. #16839974C22semidirect
143. #16839960C22semidirect
145. #16839955C22semidirect
146. #16839955C22semidirect
154. #16839893C22semidirect
159. #16839872C22semidirect
160. #16839860C22semidirect
163. C4×#11758199C22semidirect
165. #16839835C22semidirect
167. #16839832C22semidirect
168. C8×D244C22semidirect
169. #16839827C22semidirect
170. #16839817C22semidirect
171. #16839817C22semidirect
172. #16839813C22semidirect
173. #16839803C22semidirect
174. #16839801C22semidirect
175. #16839799C22semidirect
176. #16839797C22semidirect
177. #107×D61C22semidirect
178. #107×D61C22semidirect
179. #16839784C22semidirect
180. C4⋊C8×D61C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#554C22semidirect
191. C61×#489C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
195. C61×#474C22semidirect
196. C61×#463C22semidirect
197. C61×#463C22semidirect
199. C61×#446C22semidirect
200. C61×#442C22semidirect
201. C61×#440C22semidirect
202. C4×D8×C61C22semidirect
850. #3370D61semidirect
894. #554C2×D61semidirect
941. #489C2×D61semidirect
943. #488C2×D61semidirect
963. #479C2×D61semidirect
973. #478C2×D61semidirect
991. #474C2×D61semidirect
1006. #463C2×D61semidirect
1007. #463C2×D61semidirect
1021. #446C2×D61semidirect
1027. #442C2×D61semidirect
1029. #440C2×D61semidirect
1033. C4×D8C2×D61semidirect
1058. C61#62125semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214594282
#214587792
#214587732
#214585662
#214583262
#214583242
#214583112
#214583092
#214582232
#214582182
#214579822
#214579742
#214579672
#214579592
#214576762
#214576682
#214571782
#214571422
#214571272
#214570452
#214570122
#214569932
#214559682
#214559082
#214558172
#214556142
#214556062
#474×D612
#214549432
C61×#33702
#6212561