Finite Group Databasebeta

← #30576129

Subgroups — #30576129

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#21459430C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458574C211yesmaximal, characteristic, complemented
5#21458572C211yesmaximal, characteristic, complemented
6#21458318C211yesmaximal, characteristic, complemented
7#21458316C211yesmaximal, characteristic, complemented
8#21458303C211yesmaximal, characteristic, complemented
9#21458301C211yesmaximal, characteristic, complemented
10#21458220C211yesmaximal, characteristic, complemented
11#21458218C211yesmaximal, characteristic, complemented
12#21457980C211yesmaximal, characteristic, complemented
13#21457972C211yesmaximal, characteristic, complemented
14#21457965C211yesmaximal, characteristic, complemented
15#21457957C211yesmaximal, characteristic, complemented
16#21457674C211yesmaximal, characteristic, complemented
17#21457666C211yesmaximal, characteristic, complemented
18#21457180C211yesmaximal, characteristic, complemented
19#21457144C211yesmaximal, characteristic, complemented
20#21457128C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457018C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455908C211yesmaximal, characteristic, complemented
26#21455817C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29#474×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840483—21no—
34#16840478C2211yescharacteristic, complemented
35#16840477C2211yescharacteristic, complemented
36#16840473C2211yescharacteristic
37#16840472C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic
40#16840465C2211yescharacteristic
41#16840465C2211yescharacteristic, complemented
42#16840462C2211yescharacteristic
43#16840462C2211yescharacteristic, complemented
44#16840460—21no—
45#16840439—21no—
46#16840439—21no—
47#16840422—21no—
48#16840422—21no—
49#16840413—21no—
50#16840407C2211yescharacteristic
51#16840407C2211yescharacteristic
52#16840403—21no—
53D4×D244C2211yescharacteristic
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic, complemented
58#16840318C2211yescharacteristic, complemented
59#16840313C2211yescharacteristic
60#16840309C2211yescharacteristic, complemented
61#16840309C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298—21no—
65#16840297C2211yescharacteristic
66#16840297C2211yescharacteristic
67#16840275—21no—
68#16840275—21no—
69#16840243—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#16840105C2211yescharacteristic, complemented
86#16840099C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic
89#16840089C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic, complemented
91#16840088C2211yescharacteristic
92#16840088C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840082C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840077C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840070C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic, complemented
105#16840062C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840059C2211yescharacteristic, complemented
108#16840059C2211yescharacteristic, complemented
109#16840059C2211yescharacteristic, complemented
110#16840056C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic, complemented
113#16840050C2211yescharacteristic
114#16840046C2211yescharacteristic, complemented
115#16840046C2211yescharacteristic, complemented
116#16840043C2211yescharacteristic, complemented
117#16840042C2211yescharacteristic
118#16840041C2211yescharacteristic, complemented
119#16840041C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic, complemented
121#16840041C2211yescharacteristic, complemented
122#16840040C2211yescharacteristic
123#16840040C2211yescharacteristic
124#16840039C2211yescharacteristic, complemented
125#16840039C2211yescharacteristic, complemented
126#16840016C2211yescharacteristic
127#16840014C2211yescharacteristic
128#16840009C2211yescharacteristic, complemented
129#16840007C2211yescharacteristic, complemented
130#16839999C2211yescharacteristic
131#16839999C2211yescharacteristic, complemented
132#16839999C2211yescharacteristic, complemented
133#16839997C2211yescharacteristic
134#16839997C2211yescharacteristic, complemented
135#16839997C2211yescharacteristic, complemented
136#16839992C2211yescharacteristic, complemented
137#16839990C2211yescharacteristic, complemented
138#16839978C2211yescharacteristic, complemented
139#16839978C2211yescharacteristic, complemented
140#16839977C2211yescharacteristic, complemented
141#16839977C2211yescharacteristic, complemented
142#16839961C2211yescharacteristic, complemented
143#16839958C2211yescharacteristic
144#16839957C2211yescharacteristic
145#16839956C2211yescharacteristic, complemented
146#16839956C2211yescharacteristic, complemented
147#16839955C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839904C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839875C2211yescharacteristic, complemented
156#16839872C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839872C2211yescharacteristic, complemented
159#16839864C2211yescharacteristic, complemented
160#16839862C2211yescharacteristic, complemented
161C4×D488C2211yescharacteristic, complemented
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#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226D411yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61—21no—
210C22×D244—21no—
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228#14519777C2311yescharacteristic
229#14519776—21no—
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519775—21no—
234#14519774C2311yescharacteristic
235#14519773C2311yescharacteristic
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519766—21no—
248#14519766—21no—
249#14519766—21no—
250#14519766—21no—
251#14519765C2311yescharacteristic
252#14519765C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—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#14519761—21no—
267#14519761—21no—
268#14519760—21no—
269#14519760—21no—
270#14519757C2311yescharacteristic
271#14519757C2311yescharacteristic
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519753—21no—
279#14519753—21no—
280#14519753—21no—
281#14519752—21no—
282#14519752—21no—
283#14519752—21no—
284#14519752—21no—
285#14519752—21no—
286#14519752—21no—
287#14519752C2311yescharacteristic
288#14519752C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519751—21no—
296#14519751—21no—
297#14519751—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519748C2311yescharacteristic
304#14519748C2311yescharacteristic
305#14519748C2311yescharacteristic
306#14519747—21no—
307#14519747—21no—
308#14519747—21no—
309#14519747—21no—
310Q8×Dic61D411yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
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#14519739—21no—
335#14519739D411yescharacteristic
336#14519739D411yescharacteristic
337#14519739D411yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519735D411yescharacteristic
357#14519735D411yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519733—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
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#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
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#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
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×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×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×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—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—
499C22×Dic61—21no—
500C22×Dic61—21no—
501#11758226—42no—
502#11758226—82no—
503Q8×D61—82no—
504#11758224—22no—
505#11758224—41no—
506D4×D61—22no—
507D4×D61—22no—
508D4×D61—41no—
509D4×D61—41no—
510#11758222—44no—
511#11758222—82no—
512#11758222—82no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—44no—
523C2×D244C2×D411yescharacteristic
524C2×D244C2×D411yescharacteristic
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
528C2×D244C2411yescharacteristic
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×Dic122C2411yescharacteristic
556D8×C61—22no—
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
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×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593#11758200—41no—
594#11758199—22no—
595#11758199—41no—
596#11758199—41no—
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#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627#11758198C2×D411yescharacteristic
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61C2×D411yescharacteristic
632C4⋊Dic61C2×D411yescharacteristic
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
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—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669D488—41no—
670D488—41no—
671#11758190—41no—
672#11758189—41no—
673#11758189—41no—
674C8×D61—41no—
675C8×D61—41no—
676C8×D61—41no—
677C8×D61—41no—
678C23×C61—21no—
679C23×C61—21no—
680C22×D61—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—41no—
693Q8×C61—81no—
694Q8×C61—81no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C612−1+412yes—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—42no—
706C2×C4×C61—42no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61—81no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—42no—
732C2×Dic61—42no—
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—22no—
739D244—22no—
740D244—21no—
741D244—21no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—21no—
746D244—41no—
747D244—42no—
748D244—42no—
749D244—42no—
750D244—42no—
751D244—81no—
752D244—81no—
753D244—81no—
754D244—81no—
755D244—81no—
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—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779Dic122—21no—
780Dic122—21no—
781Dic122—42no—
782Dic122—42no—
783Dic122—42no—
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—22no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61C23×D411yescharacteristic
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
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×C61—41no—
833C4×C61C2×2−1+411yescharacteristic
834C4×C61#58511yescharacteristic
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61#57612yes—
845#3511—611no—
846#3481—611no—
847#3389—611no—
848#3389D6111yescharacteristic, complemented
849#3370—611no—
850#3370—611no—
851#3347—611no—
852#3347—611no—
853#3346—611no—
854#3346—611no—
855#3339—611no—
856#3339—611no—
857#3319—611no—
858#3319—611no—
859#3318—611no—
860#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—42no—
877C2×C61—81no—
878C2×C61#348911yescharacteristic
879C2×C61C2×#57511yescharacteristic
880C2×C61C2×#57611yescharacteristic
881D61—22no—
882D61—41no—
883D61—41no—
884D61—81no—
885D61—81no—
886D61—81no—
887#559—611no—
888#556—1221no—
889#555—611no—
890#555—611no—
891#554—611no—
892#554—611no—
893#554C2×D6111yescharacteristic
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#501C2×D6111yescharacteristic, complemented
935#501C2×D6111yescharacteristic, complemented
936#499—611no—
937#499C2×D6111yescharacteristic, complemented
938#490—611no—
939#490—611no—
940#489—611no—
941#489—611no—
942#488—611no—
943#488—611no—
944#485—611no—
945#485—611no—
946#484—611no—
947#484—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#482—611no—
955#482—611no—
956#481—611no—
957#481—611no—
958#481—611no—
959#481—611no—
960#480—611no—
961#480—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic
971#478C2×D6111yescharacteristic
972#478C2×D6111yescharacteristic, complemented
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#474C2×D6111yescharacteristic
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#463—611no—
1007#463—611no—
1008#460—611no—
1009#459—611no—
1010#459—611no—
1011#459—611no—
1012#459—611no—
1013#459—611no—
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#442C2×D6111yescharacteristic
1027#442C2×D6111yescharacteristic
1028#440—611no—
1029#440—611no—
1030C4×D8—611no—
1031C4×D8—611no—
1032C4×D8—611no—
1033C4×D8C2×D6111yescharacteristic
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×SD16—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×D8—611no—
1077C2×D8—611no—
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—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8C22×D6111yescharacteristic
1092C4⋊Q8C22×D6111yescharacteristic
1093#127—611no—
1094#127—611no—
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—1221no—
1106#125C22×D6111yescharacteristic
1107#125C22×D6111yescharacteristic
1108#125C22×D6111yescharacteristic
1109#125C22×D6111yescharacteristic
1110#124—611no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—611no—
1140C22⋊Q8—611no—
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—611no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8C22×D6111yescharacteristic
1187C4×D4—611no—
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—1221no—
1202C4×D4—1221no—
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×D4C22×D6111yescharacteristic
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—21no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
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#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
1277#106C22×D6111yescharacteristic
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8C22×D6111yescharacteristic
1288C4⋊C8C22×D6111yescharacteristic
1289C4⋊C8C22×D6111yescharacteristic
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
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—2441no—
1342#41—2442no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—611no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—4882no—
1351C2×Q8D4×D6111yescharacteristic
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—1221no—
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—1221no—
1368C2×D4—1221no—
1369C2×D4—1222no—
1370C2×D4—1222no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4—2444no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4C23×D6111yescharacteristic
1381C2×D4C23×D6111yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
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—611no—
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—2441no—
1413SD16—2441no—
1414D8—22no—
1415D8—1222no—
1416D8—2441no—
1417D8—2441no—
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—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1468C4⋊C4D4×D6111yescharacteristic
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C4⋊C4C23×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—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42C23×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—611no—
1538C23—611no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—4881no—
1543C23—4881no—
1544C23—2442no—
1545C23—2442no—
1546C23—2442no—
1547C23—2442no—
1548Q8—41no—
1549Q8—81no—
1550Q8—81no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—1222no—
1561D4—1222no—
1562D4—1221no—
1563D4—1221no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—1221no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2441no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2442no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4#1451982512yes—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—42no—
1594C2×C4—42no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—1222no—
1605C2×C4—1222no—
1606C2×C4—1222no—
1607C2×C4—1222no—
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—1221no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—2441no—
1628C2×C4—2441no—
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—22no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—612no—
1656C22—1221no—
1657C22—1221no—
1658C22—1221no—
1659C22—1221no—
1660C22—1221no—
1661C22—1221no—
1662C22—1221no—
1663C22—1221no—
1664C22—4884no—
1665C22—4884no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
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—41no—
1688C4—612no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—1221no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4C2×#1451982511yescharacteristic
1699C4#1684059911yescharacteristic
1700C2—42no—
1701C2—81no—
1702C2—1222no—
1703C2—4881no—
1704C2—4881no—
1705C2—4881no—
1706C2—2441no—
1707C2—2441no—
1708C2#2145949611yescharacteristic
1709C2#575×D6111yescharacteristic
1710C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
hypercenter#3389D61
hypocenterC61#62125
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459430C2semidirect
3. #21458773C2semidirect
4. #21458574C2semidirect
5. #21458572C2semidirect
6. #21458318C2semidirect
7. #21458316C2semidirect
8. #21458303C2semidirect
9. #21458301C2semidirect
10. #21458220C2semidirect
11. #21458218C2semidirect
12. #21457980C2semidirect
13. #21457972C2semidirect
14. #21457965C2semidirect
15. #21457957C2semidirect
16. #21457674C2semidirect
17. #21457666C2semidirect
18. #21457180C2semidirect
19. #21457144C2semidirect
20. #21457128C2semidirect
21. #21457050C2semidirect
22. #21457018C2semidirect
23. #21456999C2semidirect
24. #21455966C2semidirect
25. #21455908C2semidirect
26. #21455817C2semidirect
27. #21455614C2semidirect
28. #21455604C2semidirect
29. #474×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3389C2semidirect
34. #16840478C22semidirect
35. #16840477C22semidirect
37. #16840472C22semidirect
41. #16840465C22semidirect
43. #16840462C22semidirect
57. #16840318C22semidirect
58. #16840318C22semidirect
60. #16840309C22semidirect
61. #16840309C22semidirect
62. #16840309C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840168C22semidirect
77. #16840161C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840119C22semidirect
83. #16840117C22semidirect
84. #16840106C22semidirect
85. #16840105C22semidirect
86. #16840099C22semidirect
87. #16840099C22semidirect
89. #16840089C22semidirect
90. #16840089C22semidirect
92. #16840088C22semidirect
93. #16840088C22semidirect
94. #16840088C22semidirect
95. #16840084C22semidirect
98. #16840082C22semidirect
99. #16840079C22semidirect
100. #16840077C22semidirect
101. #16840074C22semidirect
102. #16840070C22semidirect
103. #16840066C22semidirect
104. #16840063C22semidirect
107. #16840059C22semidirect
108. #16840059C22semidirect
109. #16840059C22semidirect
110. #16840056C22semidirect
111. #16840051C22semidirect
112. #16840051C22semidirect
114. #16840046C22semidirect
115. #16840046C22semidirect
116. #16840043C22semidirect
118. #16840041C22semidirect
119. #16840041C22semidirect
120. #16840041C22semidirect
121. #16840041C22semidirect
124. #16840039C22semidirect
125. #16840039C22semidirect
128. #16840009C22semidirect
129. #16840007C22semidirect
131. #16839999C22semidirect
132. #16839999C22semidirect
134. #16839997C22semidirect
135. #16839997C22semidirect
136. #16839992C22semidirect
137. #16839990C22semidirect
138. #16839978C22semidirect
139. #16839978C22semidirect
140. #16839977C22semidirect
141. #16839977C22semidirect
142. #16839961C22semidirect
145. #16839956C22semidirect
146. #16839956C22semidirect
154. #16839893C22semidirect
155. #16839875C22semidirect
158. #16839872C22semidirect
159. #16839864C22semidirect
160. #16839862C22semidirect
161. C4×D488C22semidirect
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
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
848. #3389D61semidirect
894. #554C2×D61semidirect
934. #501C2×D61semidirect
935. #501C2×D61semidirect
937. #499C2×D61semidirect
972. #478C2×D61semidirect
973. #478C2×D61semidirect
991. #474C2×D61semidirect
1021. #446C2×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
#214594302
#214587732
#214585742
#214585722
#214583182
#214583162
#214583032
#214583012
#214582202
#214582182
#214579802
#214579722
#214579652
#214579572
#214576742
#214576662
#214571802
#214571442
#214571282
#214570502
#214570182
#214569992
#214559662
#214559082
#214558172
#214556142
#214556042
#474×D612
#214549432
C61×#33892
#6212561