Finite Group Databasebeta

← #30575974

Subgroups — #30575974

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#21459792C211yesmaximal, characteristic, complemented
2#21459423C211yesmaximal, characteristic, complemented
3#21458772C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458594C211yesmaximal, characteristic, complemented
6#21458579C211yesmaximal, characteristic, complemented
7#21458421C211yesmaximal, characteristic, complemented
8#21458380C211yesmaximal, characteristic, complemented
9#21458305C211yesmaximal, characteristic, complemented
10#21458301C211yesmaximal, characteristic, complemented
11#21458296C211yesmaximal, characteristic, complemented
12#21458275C211yesmaximal, characteristic, complemented
13#21458031C211yesmaximal, characteristic, complemented
14#21458016C211yesmaximal, characteristic, complemented
15#21457961C211yesmaximal, characteristic, complemented
16#21457897C211yesmaximal, characteristic, complemented
17#21457841C211yesmaximal, characteristic, complemented
18#21457777C211yesmaximal, characteristic, complemented
19#21457220C211yesmaximal, characteristic, complemented
20#21457180C211yesmaximal, characteristic, complemented
21#21457170C211yesmaximal, characteristic, complemented
22#21457059C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21456985C211yesmaximal, characteristic, complemented
25#21455957C211yesmaximal, characteristic, complemented
26#21455933C211yesmaximal, characteristic, complemented
27#21455871C211yesmaximal, characteristic, complemented
28#21455636C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3077C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840487C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic, complemented
35#16840473C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic
37#16840467C2211yescharacteristic
38#16840462C2211yescharacteristic
39#16840461—21no—
40#16840460C2211yescharacteristic
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic, complemented
43#16840453—21no—
44#16840453—21no—
45#16840451C2211yescharacteristic
46#16840451C2211yescharacteristic, complemented
47#16840446—21no—
48#16840441—21no—
49#16840438—21no—
50#16840415C2211yescharacteristic, complemented
51#16840414—21no—
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840402—21no—
55D4×C22⋊D61C2211yescharacteristic
56#16840370—21no—
57#16840358—21no—
58#16840358—21no—
59#16840309C2211yescharacteristic
60#16840297C2211yescharacteristic, complemented
61#16840297C2211yescharacteristic, complemented
62#16840296C2211yescharacteristic
63#16840296C2211yescharacteristic, complemented
64#16840294C2211yescharacteristic
65#16840292—21no—
66#125×D61C2211yescharacteristic, complemented
67#125×D61C2211yescharacteristic, complemented
68#16840273—21no—
69#16840271—21no—
70#16840244—21no—
71C4×#11758222C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×C4×C22⋊D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840124C2211yescharacteristic, complemented
84#16840124C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840099C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840092C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic
96#16840086C2211yescharacteristic
97#16840082C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic
100#16840079C2211yescharacteristic, complemented
101#16840077C2211yescharacteristic, complemented
102#16840075C2211yescharacteristic, complemented
103#16840074C2211yescharacteristic
104#16840074C2211yescharacteristic, complemented
105#16840072C2211yescharacteristic, complemented
106#16840072C2211yescharacteristic, complemented
107#16840070C2211yescharacteristic, complemented
108#16840070C2211yescharacteristic, complemented
109#16840068C2211yescharacteristic, complemented
110#16840066C2211yescharacteristic, complemented
111#16840066C2211yescharacteristic, complemented
112#16840065C2211yescharacteristic, complemented
113#16840065C2211yescharacteristic, complemented
114#16840064C2211yescharacteristic
115#16840064C2211yescharacteristic
116#16840063C2211yescharacteristic, complemented
117#16840063C2211yescharacteristic, complemented
118#16840062C2211yescharacteristic
119#16840062C2211yescharacteristic, complemented
120#16840061C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic
122#16840060C2211yescharacteristic
123#16840059C2211yescharacteristic, complemented
124#16840059C2211yescharacteristic, complemented
125#16840046C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic, complemented
127#16840020C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic, complemented
129#16840015C2211yescharacteristic
130#16840014C2211yescharacteristic, complemented
131#16840009C2211yescharacteristic, complemented
132#16840008C2211yescharacteristic
133#16840008C2211yescharacteristic, complemented
134#16840007C2211yescharacteristic, complemented
135#16840004C2211yescharacteristic, complemented
136#16839997C2211yescharacteristic
137#16839992C2211yescharacteristic, complemented
138#16839990C2211yescharacteristic
139#16839985C2211yescharacteristic, complemented
140#16839985C2211yescharacteristic, complemented
141#16839983C2211yescharacteristic, complemented
142#16839978C2211yescharacteristic, complemented
143#16839978C2211yescharacteristic, complemented
144#16839977C2211yescharacteristic
145#16839977C2211yescharacteristic, complemented
146#16839976C2211yescharacteristic, complemented
147#16839961C2211yescharacteristic
148#16839956C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839896C2211yescharacteristic
155#16839891C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839872C2211yescharacteristic
158#16839872C2211yescharacteristic, complemented
159#16839871C2211yescharacteristic
160#16839868C2211yescharacteristic, complemented
161#16839862C2211yescharacteristic
162#16839862C2211yescharacteristic, complemented
163#16839861C2211yescharacteristic, complemented
164#16839859C2211yescharacteristic
165#16839853C2211yescharacteristic
166#16839849C2211yescharacteristic, complemented
167#16839844C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic
169#16839838C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic, complemented
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839819C2211yescharacteristic, complemented
176#16839818C2211yescharacteristic, complemented
177#16839814C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic, complemented
179#16839801C2211yescharacteristic, complemented
180#107×D61C2211yescharacteristic, complemented
181#106×D61C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic, complemented
189C2×C4×D4×C61C2211yescharacteristic
190C61×#478C2211yescharacteristic
191C61×#478C2211yescharacteristic
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#476C2211yescharacteristic
195C61×#476C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic
197C61×#474C2211yescharacteristic, complemented
198C61×#428C2211yescharacteristic, complemented
199C61×#428C2211yescharacteristic, complemented
200C61×#423C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#418C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×C22⋊D61—21no—
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C2×Dic244C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×D488C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519775—21no—
224#14519773C2311yescharacteristic
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519771—21no—
229#14519771—21no—
230#14519771—21no—
231#14519771—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519769—21no—
237#14519769—21no—
238#14519769C2311yescharacteristic
239#14519769C2311yescharacteristic
240#14519768—21no—
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519765C2311yescharacteristic
254#14519765C2311yescharacteristic
255#14519764C2311yescharacteristic
256#14519763—21no—
257#14519763—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519760—21no—
265#14519760—21no—
266#14519760—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519757—21no—
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519756—21no—
280#14519756—21no—
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519754—21no—
285#14519754—21no—
286#14519753—21no—
287#14519753—21no—
288#14519753—21no—
289#14519753—21no—
290#14519753—21no—
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519751—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519749—21no—
303#14519749—21no—
304#14519748C2311yescharacteristic
305#14519748C2311yescharacteristic
306#14519747—21no—
307#14519746—21no—
308#14519746—21no—
309#14519745—21no—
310Q8×Dic61—21no—
311C4×Dic122D411yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742C2311yescharacteristic
316#14519742C2311yescharacteristic
317#14519742C2311yescharacteristic
318C4×D244—21no—
319C4×D244—21no—
320C4×D244D411yescharacteristic
321C4×D244C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326#14519739—21no—
327#14519739—21no—
328#14519739—21no—
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
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⋊D61D411yescharacteristic
343C4×C22⋊D61D411yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519736—21no—
349#14519736D411yescharacteristic
350#14519735—21no—
351#14519735—21no—
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734D411yescharacteristic
358#14519734D411yescharacteristic
359#14519733—21no—
360C2×#11758196—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×C22⋊Dic61—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
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
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61C2311yescharacteristic
436C23×C4×C61—21no—
437C2×M16×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C4×Q8×C61—21no—
446C4×Q8×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61—21no—
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456C2×C22⋊C4×C61—21no—
457C2×C42×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
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—41no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—82no—
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2×D411yescharacteristic
495C22×C4×C61C2411yescharacteristic
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—
504C2×C22⋊D61—44no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510#11758226—44no—
511#11758224—22no—
512#11758224—41no—
513D4×D61—22no—
514D4×D61—41no—
515#11758222—42no—
516#11758222—82no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244C2×D411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—82no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544M16×C61—41no—
545M16×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
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×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61C2×D411yescharacteristic
572C42×C61C2×D411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585#11758200—22no—
586#11758200—41no—
587#11758199—22no—
588#11758199—41no—
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#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667Dic244—41no—
668D488—41no—
669#11758190—41no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—42no—
678C23×C61—42no—
679C23×C61—81no—
680C23×C61C22×D411yescharacteristic
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—42no—
689Q8×C61—81no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—42no—
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—21no—
703C2×C4×C61—41no—
704C2×C4×C61—41no—
705C2×C4×C61—42no—
706C2×C4×C61—42no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C2511yescharacteristic
716C22⋊D61—22no—
717C22⋊D61—41no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—42no—
733C2×Dic61—42no—
734C2×Dic61—81no—
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741D244—22no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—21no—
746D244—42no—
747D244—42no—
748D244—81no—
749C4×D61—22no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—41no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—21no—
768Dic122—21no—
769Dic122—21no—
770Dic122—21no—
771Dic122—41no—
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—21no—
783C22×C61—22no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—84no—
792C22×C61C23×D411yescharacteristic
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
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#3077D6111yescharacteristic, complemented
860C2×#478—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61—41no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—22no—
869D61—41no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
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#533C2×D6111yescharacteristic, complemented
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—1221no—
916C2×C4×D4C2×D6111yescharacteristic
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
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#479—611no—
953#479—611no—
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#478C2×D6111yescharacteristic
968#478C2×D6111yescharacteristic
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476C2×D6111yescharacteristic
972#476C2×D6111yescharacteristic, complemented
973#475—611no—
974#474—611no—
975#474C2×D6111yescharacteristic
976#474C2×D6111yescharacteristic, complemented
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#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
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#428C2×D6111yescharacteristic, complemented
1031#428C2×D6111yescharacteristic, complemented
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423C2×D6111yescharacteristic, complemented
1036C2×C4⋊C8—611no—
1037#418C2×D6111yescharacteristic
1038#418C2×D6111yescharacteristic
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—1221no—
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—21no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—1221no—
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—611no—
1084#125—611no—
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#125—1221no—
1099#125—1221no—
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—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—1221no—
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—21no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—1221no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117C22×D6111yescharacteristic
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
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#106—611no—
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⋊C8C22×D6111yescharacteristic
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#103—611no—
1283#103—611no—
1284#103—611no—
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#102C22×D6111yescharacteristic
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
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#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—21no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325#41—2444no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×D4—22no—
1333C2×D4—21no—
1334C2×D4—41no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1222no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—2441no—
1353C2×D4—2444no—
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—82no—
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—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—41no—
1394M16—41no—
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—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
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—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
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—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—42no—
1519C23—42no—
1520C23—81no—
1521C23—611no—
1522C23—611no—
1523C23—1221no—
1524C23—1221no—
1525C23—4881no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—42no—
1530Q8—81no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—2441no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—42no—
1541D4—1222no—
1542D4—1222no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4—2441no—
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—21no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—1222no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—22no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—84no—
1632C22—612no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—4884no—
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—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982511yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—41no—
1672C2—42no—
1673C2—81no—
1674C2—1222no—
1675C2—4881no—
1676C2—4881no—
1677C2—2441no—
1678C2#2145949511yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3077C2
socleC22×C61C23×D4
hypercenter#3077D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #21459792C2semidirect
2. #21459423C2semidirect
3. #21458772C2semidirect
4. #21458757C2semidirect
5. #21458594C2semidirect
6. #21458579C2semidirect
7. #21458421C2semidirect
8. #21458380C2semidirect
9. #21458305C2semidirect
10. #21458301C2semidirect
11. #21458296C2semidirect
12. #21458275C2semidirect
13. #21458031C2semidirect
14. #21458016C2semidirect
15. #21457961C2semidirect
16. #21457897C2semidirect
17. #21457841C2semidirect
18. #21457777C2semidirect
19. #21457220C2semidirect
20. #21457180C2semidirect
21. #21457170C2semidirect
22. #21457059C2semidirect
23. #21457007C2semidirect
24. #21456985C2semidirect
25. #21455957C2semidirect
26. #21455933C2semidirect
27. #21455871C2semidirect
28. #21455636C2semidirect
29. #478×D61C2semidirect
30. #21454933C2semidirect
31. C61×#3077C2semidirect
33. #16840487C22semidirect
34. #16840473C22semidirect
35. #16840473C22semidirect
42. #16840456C22semidirect
46. #16840451C22semidirect
50. #16840415C22semidirect
60. #16840297C22semidirect
61. #16840297C22semidirect
63. #16840296C22semidirect
66. #125×D61C22semidirect
67. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840168C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840124C22semidirect
84. #16840124C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840105C22semidirect
88. #16840103C22semidirect
89. #16840103C22semidirect
90. #16840099C22semidirect
91. #16840099C22semidirect
92. #16840094C22semidirect
93. #16840092C22semidirect
94. #16840088C22semidirect
97. #16840082C22semidirect
98. #16840082C22semidirect
100. #16840079C22semidirect
101. #16840077C22semidirect
102. #16840075C22semidirect
104. #16840074C22semidirect
105. #16840072C22semidirect
106. #16840072C22semidirect
107. #16840070C22semidirect
108. #16840070C22semidirect
109. #16840068C22semidirect
110. #16840066C22semidirect
111. #16840066C22semidirect
112. #16840065C22semidirect
113. #16840065C22semidirect
116. #16840063C22semidirect
117. #16840063C22semidirect
119. #16840062C22semidirect
120. #16840061C22semidirect
123. #16840059C22semidirect
124. #16840059C22semidirect
125. #16840046C22semidirect
126. #16840041C22semidirect
127. #16840020C22semidirect
128. #16840016C22semidirect
130. #16840014C22semidirect
131. #16840009C22semidirect
133. #16840008C22semidirect
134. #16840007C22semidirect
135. #16840004C22semidirect
137. #16839992C22semidirect
139. #16839985C22semidirect
140. #16839985C22semidirect
141. #16839983C22semidirect
142. #16839978C22semidirect
143. #16839978C22semidirect
145. #16839977C22semidirect
146. #16839976C22semidirect
155. #16839891C22semidirect
156. #16839891C22semidirect
158. #16839872C22semidirect
160. #16839868C22semidirect
162. #16839862C22semidirect
163. #16839861C22semidirect
166. #16839849C22semidirect
167. #16839844C22semidirect
169. #16839838C22semidirect
170. #16839838C22semidirect
171. #16839832C22semidirect
172. #16839832C22semidirect
175. #16839819C22semidirect
176. #16839818C22semidirect
177. #16839814C22semidirect
178. #16839803C22semidirect
179. #16839801C22semidirect
180. #107×D61C22semidirect
181. #106×D61C22semidirect
182. #16839784C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#533C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
195. C61×#476C22semidirect
197. C61×#474C22semidirect
198. C61×#428C22semidirect
199. C61×#428C22semidirect
200. C61×#423C22semidirect
859. #3077D61semidirect
899. #533C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
972. #476C2×D61semidirect
976. #474C2×D61semidirect
1030. #428C2×D61semidirect
1031. #428C2×D61semidirect
1035. #423C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597922
#214594232
#214587722
#214587572
#214585942
#214585792
#214584212
#214583802
#214583052
#214583012
#214582962
#214582752
#214580312
#214580162
#214579612
#214578972
#214578412
#214577772
#214572202
#214571802
#214571702
#214570592
#214570072
#214569852
#214559572
#214559332
#214558712
#214556362
#478×D612
#214549332
C61×#30772
#6211961