Finite Group Databasebeta

← #30572211

Subgroups — #30572211

Order 15616.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459687C211yesmaximal, characteristic, complemented
2#21459413C211yesmaximal, characteristic, complemented
3#21458831C211yesmaximal, characteristic, complemented
4#21458826C211yesmaximal, characteristic, complemented
5#21458518C211yesmaximal, characteristic, complemented
6#21458512C211yesmaximal, characteristic, complemented
7#21457756C211yesmaximal, characteristic, complemented
8#21457754C211yesmaximal, characteristic, complemented
9#21457667C211yesmaximal, characteristic, complemented
10#21457665C211yesmaximal, characteristic, complemented
11#21457663C211yesmaximal, characteristic, complemented
12#21457576C211yesmaximal, characteristic, complemented
13#21457572C211yesmaximal, characteristic, complemented
14#21457531C211yesmaximal, characteristic, complemented
15#21457530C211yesmaximal, characteristic, complemented
16#21457523C211yesmaximal, characteristic, complemented
17#21457522C211yesmaximal, characteristic, complemented
18#21457144C211yesmaximal, characteristic, complemented
19#21457138C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21456796C211yesmaximal, characteristic, complemented
22#21456792C211yesmaximal, characteristic, complemented
23#21456735C211yesmaximal, characteristic, complemented
24#21455875C211yesmaximal, characteristic, complemented
25#21455874C211yesmaximal, characteristic, complemented
26#21455855C211yesmaximal, characteristic, complemented
27#21455272C211yesmaximal, characteristic, complemented
28#21455271C211yesmaximal, characteristic, complemented
29C2×#16839961C211yesmaximal, characteristic, complemented
30#21454926C211yesmaximal, characteristic, complemented
31C61×#3297C211yesmaximal, characteristic, complemented
32C2×#14519799C2211yescharacteristic, complemented
33C2×#14519798C2211yescharacteristic, complemented
34C2×#14519797C2211yescharacteristic, complemented
35C2×#14519796C2211yescharacteristic, complemented
36C22×#11758190C2211yescharacteristic
37C22×#11758200C2211yescharacteristic
38#16840496—21no—
39#16840496—21no—
40#16840495C2211yescharacteristic
41#16840495C2211yescharacteristic, complemented
42#16840494C2211yescharacteristic
43#16840489C2211yescharacteristic, complemented
44#16840480C2211yescharacteristic, complemented
45#16840479—21no—
46#16840461—21no—
47#16840460C2211yescharacteristic
48#16840455—21no—
49#16840431C2211yescharacteristic
50#16840430—21no—
51#16840430C2211yescharacteristic
52#16840430C2211yescharacteristic, complemented
53#16840421C2211yescharacteristic
54#16840418C2211yescharacteristic
55#16840408C2211yescharacteristic
56#16840406C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840402—21no—
59#16840399—21no—
60#16840364—21no—
61#16840362—21no—
62#16840327—21no—
63#16840314C2211yescharacteristic
64#16840311C2211yescharacteristic
65#16840309C2211yescharacteristic
66#16840308C2211yescharacteristic
67#16840307—21no—
68#16840307C2211yescharacteristic
69#16840307C2211yescharacteristic
70C2×#14519773C2211yescharacteristic
71#16840297C2211yescharacteristic, complemented
72#16840295—21no—
73#16840293C2211yescharacteristic, complemented
74#16840289—21no—
75#16840235—21no—
76#16840230C2211yescharacteristic, complemented
77C4×#11758224—21no—
78C4×#11758224C2211yescharacteristic
79C4×#11758224C2211yescharacteristic, complemented
80C2×#14519742C2211yescharacteristic
81#16840146C2211yescharacteristic, complemented
82#16840145C2211yescharacteristic, complemented
83#16840144C2211yescharacteristic, complemented
84#16840143C2211yescharacteristic, complemented
85#16840137C2211yescharacteristic
86#16840137C2211yescharacteristic
87#16840119C2211yescharacteristic, complemented
88#16840118C2211yescharacteristic, complemented
89#16840115C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic
91#16840107C2211yescharacteristic
92#16840097C2211yescharacteristic
93#16840089C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840065C2211yescharacteristic, complemented
97#16840064C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16839999C2211yescharacteristic, complemented
106#16839997C2211yescharacteristic, complemented
107#16839996C2211yescharacteristic, complemented
108#16839993C2211yescharacteristic
109#16839992C2211yescharacteristic, complemented
110#16839991C2211yescharacteristic
111#16839991C2211yescharacteristic, complemented
112#16839990C2211yescharacteristic, complemented
113#16839989C2211yescharacteristic
114#16839989C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839985C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic, complemented
118#16839981C2211yescharacteristic, complemented
119#16839980C2211yescharacteristic, complemented
120#16839978C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839977C2211yescharacteristic, complemented
123#16839976C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic, complemented
125#16839975C2211yescharacteristic, complemented
126#16839971C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic, complemented
129#16839965C2211yescharacteristic, complemented
130#16839961C2211yescharacteristic
131#16839961C2211yescharacteristic
132#16839961C2211yescharacteristic
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic
135#16839961C2211yescharacteristic
136#16839961C2211yescharacteristic
137#16839961C2211yescharacteristic
138#16839961C2211yescharacteristic, complemented
139#16839960C2211yescharacteristic, complemented
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic, complemented
147#16839924C2211yescharacteristic, complemented
148#16839920C2211yescharacteristic
149#16839917C2211yescharacteristic
150#16839910C2211yescharacteristic, complemented
151#16839909C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839904C2211yescharacteristic, complemented
157#16839898C2211yescharacteristic
158#16839896C2211yescharacteristic
159#16839895C2211yescharacteristic
160C8×Dic122C2211yescharacteristic, complemented
161#16839886C2211yescharacteristic, complemented
162#16839856C2211yescharacteristic, complemented
163#16839856C2211yescharacteristic, complemented
164#16839854C2211yescharacteristic, complemented
165#16839854C2211yescharacteristic, complemented
166#16839853C2211yescharacteristic, complemented
167C4×#11758190C2211yescharacteristic, complemented
168#16839849C2211yescharacteristic, complemented
169C4×#11758200C2211yescharacteristic, complemented
170#16839844C2211yescharacteristic, complemented
171C4×#11758199C2211yescharacteristic, complemented
172#16839842C2211yescharacteristic, complemented
173D4×#92418C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic
175C8×C22⋊D61C2211yescharacteristic, complemented
176#16839825C2211yescharacteristic
177#16839825C2211yescharacteristic, complemented
178#16839813C2211yescharacteristic, complemented
179#16839812C2211yescharacteristic
180#16839812C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839756C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic
199C4×D8×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic
201C61×#416C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210C2×#11758224C2311yescharacteristic
211C2×#11758224C2311yescharacteristic
212C22×Dic122C2311yescharacteristic
213C22×D244C2311yescharacteristic
214C22×C22⋊D61—21no—
215C22×C22⋊D61—21no—
216#14519799—42no—
217#14519798—42no—
218#14519797—42no—
219#14519796—42no—
220C2×Dic244C2311yescharacteristic
221C2×Dic244C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758190—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758200—42no—
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×D488C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C22×#92418C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246C2×C8×D61C2311yescharacteristic
247#14519776—21no—
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519775C2311yescharacteristic
251#14519773—21no—
252#14519773—21no—
253#14519773—21no—
254#14519773—21no—
255#14519773—21no—
256#14519773C2311yescharacteristic
257#14519773C2311yescharacteristic
258#14519773C2311yescharacteristic
259#14519773C2311yescharacteristic
260#14519773C2311yescharacteristic
261#14519772—21no—
262#14519772—21no—
263#14519771—21no—
264#14519770—21no—
265#14519770—21no—
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519766C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519760—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519756C2311yescharacteristic
299#14519755—21no—
300#14519754—21no—
301#14519754—21no—
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519751—21no—
306#14519751—21no—
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519748—21no—
325#14519748C2311yescharacteristic
326#14519747—21no—
327#14519746—21no—
328#14519745—21no—
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122C2311yescharacteristic
332C4×Dic122C2311yescharacteristic
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742D411yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344C4×D244C2311yescharacteristic
345D4×Dic61—21no—
346D4×Dic61—21no—
347D4×Dic61D411yescharacteristic
348D4×Dic61C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350#14519739—21no—
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61C2311yescharacteristic
363C4×C22⋊D61C2311yescharacteristic
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737D411yescharacteristic
376#14519737D411yescharacteristic
377#14519735—21no—
378#14519735D411yescharacteristic
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519733—21no—
382#14519733—21no—
383#14519733—21no—
384#14519733D411yescharacteristic
385#14519733D411yescharacteristic
386C2×#11758196—21no—
387C2×C22⋊Dic61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C2×C4×Dic61—21no—
392C2×C4×Dic61C2311yescharacteristic
393C2×C4×Dic61C2311yescharacteristic
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448#126×C61—21no—
449#125×C61C2311yescharacteristic
450#124×C61C2311yescharacteristic
451#123×C61—21no—
452#123×C61—21no—
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×D4×C61—21no—
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465C2×C4⋊C4×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486#41×C61—41no—
487#41×C61—41no—
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—41no—
495C2×D4×C61—41no—
496C2×D4×C61C2×D411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—44no—
524C2×C22⋊D61—82no—
525C2×C22⋊D61C2×D411yescharacteristic
526C2×C22⋊D61C2×D411yescharacteristic
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61C2×D411yescharacteristic
533C22×Dic61C2×D411yescharacteristic
534C22×Dic61C2×D411yescharacteristic
535C22×Dic61C2×D411yescharacteristic
536#11758226—41no—
537#11758226—41no—
538#11758224—24no—
539#11758224—22no—
540#11758224—41no—
541#11758224—41no—
542#11758224—41no—
543#11758224—44no—
544#11758224—82no—
545#11758222—22no—
546#11758222—41no—
547#11758222—41no—
548#11758222—41no—
549#11758222—82no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—41no—
555C2×D244—41no—
556C2×D244C2411yescharacteristic
557C2×D244C2411yescharacteristic
558C2×D244C2411yescharacteristic
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61C2×D411yescharacteristic
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2411yescharacteristic
569C2×Dic122—22no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122—41no—
574C2×Dic122C2×D411yescharacteristic
575C2×Dic122C2411yescharacteristic
576C2×Dic122C2411yescharacteristic
577C2×Dic122C2411yescharacteristic
578SD16×C61—41no—
579D8×C61—41no—
580D8×C61—41no—
581C2×C8×C61—41no—
582C2×C8×C61—41no—
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C2×C8×C61C2411yescharacteristic
586C2×C8×C61C2411yescharacteristic
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61C2×D411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61C2×D411yescharacteristic
606C22⋊C4×C61C2×D411yescharacteristic
607C42×C61—21no—
608C42×C61C2411yescharacteristic
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61C2×D411yescharacteristic
619C22⋊Dic61C2×D411yescharacteristic
620#11758202—22no—
621#11758202—41no—
622#11758201—41no—
623#11758200—22no—
624#11758200—22no—
625#11758200—41no—
626#11758200—41no—
627#11758200—41no—
628#11758199—41no—
629#11758199—41no—
630#11758199—41no—
631#11758199—41no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692C2×#92418—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—22no—
699Dic244—41no—
700D488—41no—
701D488—41no—
702#11758190—22no—
703#11758190—22no—
704#11758190—41no—
705#11758190—41no—
706#11758190—41no—
707C8×D61—41no—
708C8×D61—41no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—42no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61C22×D411yescharacteristic
716C23×C61C22×D411yescharacteristic
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—42no—
721C22×D61—81no—
722C22×D61—81no—
723C22×D61C22×D411yescharacteristic
724Q8×C61—21no—
725Q8×C61—21no—
726D4×C61—22no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—42no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61—81no—
750C2×C4×C61—81no—
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C2511yescharacteristic
756C22⋊D61—22no—
757C22⋊D61—22no—
758C22⋊D61—42no—
759C22⋊D61—42no—
760C22⋊D61—42no—
761C22⋊D61—42no—
762C22⋊D61—42no—
763C22⋊D61—42no—
764C22⋊D61—42no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C2×Dic61—21no—
776C2×Dic61—22no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—41no—
782C2×Dic61—41no—
783C2×Dic61—42no—
784C2×Dic61—42no—
785C2×Dic61—42no—
786C2×Dic61—81no—
787C2×Dic61—81no—
788C2×Dic61#13514yescomplemented
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795C2×Dic61C22×D411yescharacteristic
796D244—21no—
797D244—21no—
798D244—21no—
799D244—21no—
800D244—21no—
801D244—21no—
802D244—81no—
803D244—81no—
804D244—81no—
805D244—81no—
806C4×D61—21no—
807C4×D61—21no—
808C4×D61—22no—
809C4×D61—41no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817Dic122—21no—
818Dic122—22no—
819Dic122—21no—
820Dic122—21no—
821Dic122—21no—
822Dic122—21no—
823Dic122—42no—
824Dic122—42no—
825Dic122—42no—
826Dic122H(5,𝔽2)12yes—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61953—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—162no—
851C22×C61C2×#13512yes—
852C22×C61C23×D411yescharacteristic
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—162no—
866C4×C61—21no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61C2×H(5,𝔽2)11yescharacteristic
876C4×C61#58511yescharacteristic
877Dic61—21no—
878Dic61—21no—
879Dic61—21no—
880Dic61—22no—
881Dic61—21no—
882Dic61—21no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61C2×#13512yes—
888Dic61C2×#13512yes—
889#3508—611no—
890#3480—611no—
891#3396—611no—
892#3396—611no—
893#3365—611no—
894#3365—611no—
895#3304—611no—
896#3304—611no—
897#3297—611no—
898#3297—611no—
899#3297—611no—
900#3297D6111yescharacteristic, complemented
901#3287—611no—
902#3287—611no—
903#3282—611no—
904#3282—611no—
905#3282—611no—
906#3282—611no—
907#3247—611no—
908#3247—611no—
909#3246—611no—
910#3212—611no—
911#3212—611no—
912#3205—611no—
913#3106—611no—
914#3106—611no—
915#3104—611no—
916#3035—611no—
917#3035—611no—
918C2×#460—611no—
919#2988—611no—
920C2×C61—22no—
921C2×C61—41no—
922C2×C61—81no—
923C2×C61—81no—
924C2×C61—81no—
925C2×C61#348811yescharacteristic
926C2×C61C22×#13511yescharacteristic
927C2×C61#358511yescharacteristic
928D61—41no—
929D61—81no—
930D61—81no—
931D61—81no—
932C2×#135—611no—
933C2×#135—611no—
934C2×#135—611no—
935C2×#135—611no—
936C22×SD16—611no—
937C22×SD16—611no—
938#559—611no—
939#559—611no—
940#559—611no—
941#559—1221no—
942#559—1221no—
943#557—611no—
944#556—611no—
945#556—1221no—
946#553—611no—
947#553—1221no—
948#553—1221no—
949#553C2×D6111yescharacteristic
950#550—611no—
951#550—611no—
952#550—611no—
953#550—1221no—
954#548—611no—
955#548—611no—
956#546—611no—
957#546—611no—
958#546—611no—
959#546—1221no—
960#546—1221no—
961#546C2×D6111yescharacteristic
962#540—1221no—
963#540—1221no—
964#535—1221no—
965#533—611no—
966#532—611no—
967#532—611no—
968#532—611no—
969#532—611no—
970#532—611no—
971#532—1221no—
972C2×#127—611no—
973#529—611no—
974#529—611no—
975#529—1221no—
976#529—1221no—
977#518—1221no—
978C4×#41—611no—
979C4×#41—611no—
980C4×#41—611no—
981C4×#41—1221no—
982C2×C4×Q8—611no—
983#495—611no—
984#495—611no—
985#495—611no—
986#495—611no—
987#493—611no—
988#493—611no—
989#488—611no—
990#488—611no—
991#488—611no—
992#488C2×D6111yescharacteristic, complemented
993#486—611no—
994#486—611no—
995#484—611no—
996#484C2×D6111yescharacteristic
997#482—611no—
998#482—611no—
999#482—611no—
1000#482C2×D6111yescharacteristic, complemented
1001#478—611no—
1002#478—611no—
1003#478—611no—
1004#478C2×D6111yescharacteristic, complemented
1005#477—611no—
1006#477—611no—
1007#476—611no—
1008#476—611no—
1009#475—611no—
1010#475—611no—
1011#466—611no—
1012#466—611no—
1013#466—611no—
1014#466C2×D6111yescharacteristic, complemented
1015#465—611no—
1016#465—611no—
1017#465—611no—
1018#465—611no—
1019#465—611no—
1020#465—611no—
1021#465—611no—
1022#465C2×D6111yescharacteristic
1023#464—611no—
1024#464—611no—
1025#464—611no—
1026#464—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#463—611no—
1034#463C2×D6111yescharacteristic, complemented
1035#462—611no—
1036#462—611no—
1037#461—611no—
1038#461—611no—
1039#460—611no—
1040#460—611no—
1041#460—611no—
1042#460—611no—
1043#460—611no—
1044#460—611no—
1045#460—611no—
1046#460—611no—
1047#460—611no—
1048#460—611no—
1049#459—611no—
1050#459—611no—
1051#459—611no—
1052#459—611no—
1053#452—611no—
1054#452—611no—
1055#452—611no—
1056#452—611no—
1057#451—611no—
1058#451—611no—
1059#449—611no—
1060#449—611no—
1061#449—611no—
1062#449—611no—
1063#449—611no—
1064#449—611no—
1065#449—611no—
1066#449C2×D6111yescharacteristic, complemented
1067#447—611no—
1068#447—611no—
1069#447—611no—
1070#447C2×D6111yescharacteristic
1071C8×Q8—611no—
1072C8×Q8—611no—
1073C4×Q16—611no—
1074C4×Q16—611no—
1075C4×Q16—611no—
1076C4×Q16—611no—
1077C4×SD16—611no—
1078C4×SD16—611no—
1079C4×SD16—611no—
1080C4×SD16—611no—
1081C4×D8—611no—
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8C2×D6111yescharacteristic, complemented
1085C8×D4—611no—
1086C8×D4—611no—
1087C8×D4—611no—
1088C8×D4—611no—
1089C8×D4—611no—
1090C8×D4C2×D6111yescharacteristic
1091#431—611no—
1092#431—611no—
1093#431—611no—
1094C2×C4⋊C8—611no—
1095C2×C4⋊C8—611no—
1096C2×C4⋊C8—611no—
1097#416—611no—
1098#416—611no—
1099#416—611no—
1100#416C2×D6111yescharacteristic, complemented
1101C2×#102—611no—
1102C2×#102C2×D6111yescharacteristic
1103C61#6195311yescharacteristic, complemented, Sylow
1104C2×#41—611no—
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—1221no—
1111C2×#41—1221no—
1112C2×#41—1221no—
1113C2×#41C22×D6111yescharacteristic
1114C22×Q8—611no—
1115C22×D4—611no—
1116C22×D4—1221no—
1117C22×D4—1221no—
1118C22×D4C22×D6111yescharacteristic
1119#135—2442no—
1120#135—2442no—
1121#135—2442no—
1122#135—2442no—
1123C2×Q16—611no—
1124C2×Q16—611no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×SD16—611no—
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—611no—
1136C2×SD16—611no—
1137C2×SD16—611no—
1138C2×SD16—2442no—
1139C2×SD16—2442no—
1140C2×SD16C22×D6111yescharacteristic
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—611no—
1146C2×D8—611no—
1147C2×D8C22×D6111yescharacteristic
1148C2×D8C22×D6111yescharacteristic
1149C22×C8—611no—
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8C22×D6111yescharacteristic
1154C22×C8C22×D6111yescharacteristic
1155C4⋊Q8—611no—
1156C4⋊Q8—611no—
1157C4⋊Q8—611no—
1158C4⋊Q8—1221no—
1159#127—611no—
1160#127—611no—
1161#127—611no—
1162#127—611no—
1163#127—611no—
1164#127—1221no—
1165#127—1221no—
1166#127—1221no—
1167#127—1221no—
1168#127—1221no—
1169#126—21no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125C22×D6111yescharacteristic
1180#124—611no—
1181#124—611no—
1182#124—611no—
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124—1221no—
1191#124—1221no—
1192#124—1221no—
1193#124—1221no—
1194#124C22×D6111yescharacteristic
1195#123—21no—
1196#123—21no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121C22×D6111yescharacteristic
1243#121C22×D6111yescharacteristic
1244#121C22×D6111yescharacteristic
1245#120—21no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—1221no—
1260C4×Q8—1221no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×D4—21no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4C22×D6111yescharacteristic
1299C4×D4C22×D6111yescharacteristic
1300C4×D4C22×D6111yescharacteristic
1301#117—611no—
1302#117—611no—
1303#117—611no—
1304#117—611no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309#117—1221no—
1310#117C22×D6111yescharacteristic
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C42—611no—
1318C2×C42—611no—
1319C2×C42—611no—
1320C2×C42—1221no—
1321C2×C42—1221no—
1322C2×C42—1221no—
1323#107—611no—
1324#107—611no—
1325#107C22×D6111yescharacteristic
1326#107C22×D6111yescharacteristic
1327#106—611no—
1328#106—611no—
1329#106—611no—
1330#106C22×D6111yescharacteristic
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8—611no—
1339C4⋊C8—611no—
1340C4⋊C8C22×D6111yescharacteristic
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103C22×D6111yescharacteristic
1351#103C22×D6111yescharacteristic
1352#103C22×D6111yescharacteristic
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102C22×D6111yescharacteristic
1367#102C22×D6111yescharacteristic
1368#102C22×D6111yescharacteristic
1369#102C22×D6111yescharacteristic
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373C22⋊C8—611no—
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8C22×D6111yescharacteristic
1378C22⋊C8C22×D6111yescharacteristic
1379C4×C8—611no—
1380C4×C8—611no—
1381C4×C8—611no—
1382C4×C8—611no—
1383C4×C8—611no—
1384C4×C8C22×D6111yescharacteristic
1385C24—21no—
1386C24—1221no—
1387#41—41no—
1388#41—41no—
1389#41—1222no—
1390#41—1224no—
1391#41—1222no—
1392#41—4882no—
1393#41—4882no—
1394#41—2441no—
1395#41—2441no—
1396#41—2441no—
1397#41—2444no—
1398#41—2441no—
1399#41—2441no—
1400#41—2441no—
1401#41—2441no—
1402#41—2441no—
1403C2×Q8—611no—
1404C2×Q8—611no—
1405C2×Q8—611no—
1406C2×Q8—611no—
1407C2×Q8—1221no—
1408C2×Q8—1221no—
1409C2×Q8—1222no—
1410C2×Q8—1221no—
1411C2×Q8—2441no—
1412C2×Q8C23×D6111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—611no—
1421C2×D4—611no—
1422C2×D4—611no—
1423C2×D4—611no—
1424C2×D4—611no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—4882no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2444no—
1450C2×D4D4×D6111yescharacteristic
1451C2×D4C23×D6111yescharacteristic
1452C2×D4C23×D6111yescharacteristic
1453C2×D4C23×D6111yescharacteristic
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4C23×D6111yescharacteristic
1478C22×C4C23×D6111yescharacteristic
1479Q16—1222no—
1480Q16—1222no—
1481Q16—2441no—
1482Q16—2441no—
1483SD16—41no—
1484SD16—1222no—
1485SD16—1222no—
1486SD16—1222no—
1487SD16—1222no—
1488SD16—2441no—
1489SD16—2441no—
1490SD16—2441no—
1491SD16—2441no—
1492SD16—2441no—
1493SD16—2441no—
1494SD16—2441no—
1495D8—41no—
1496D8—41no—
1497D8—2441no—
1498D8—2441no—
1499D8—2441no—
1500D8—2441no—
1501D8—2441no—
1502D8—2441no—
1503C2×C8—41no—
1504C2×C8—41no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—611no—
1509C2×C8—2441no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8—2441no—
1513C2×C8C23×D6111yescharacteristic
1514C2×C8C23×D6111yescharacteristic
1515C2×C8C23×D6111yescharacteristic
1516C2×C8C23×D6111yescharacteristic
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4D4×D6111yescharacteristic
1546C4⋊C4C23×D6111yescharacteristic
1547C4⋊C4C23×D6111yescharacteristic
1548C4⋊C4C23×D6111yescharacteristic
1549C4⋊C4C23×D6111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4D4×D6111yescharacteristic
1589C22⋊C4D4×D6111yescharacteristic
1590C42—21no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—611no—
1595C42—611no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42—611no—
1600C42—1221no—
1601C42—1221no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42C23×D6111yescharacteristic
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—42no—
1614C23—81no—
1615C23—81no—
1616C23—611no—
1617C23—1221no—
1618C23—1221no—
1619C23—1221no—
1620C23—4881no—
1621C23—4881no—
1622C23—2442no—
1623C23C2×D4×D6111yescharacteristic
1624C23C2×D4×D6111yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—612no—
1628Q8—1222no—
1629Q8—1221no—
1630Q8—1221no—
1631Q8—1221no—
1632Q8—1221no—
1633Q8—1221no—
1634Q8—2442no—
1635Q8—2442no—
1636Q8—2442no—
1637D4—22no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—42no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—1222no—
1650D4—1222no—
1651D4—1221no—
1652D4—1221no—
1653D4—1221no—
1654D4—1221no—
1655D4—1221no—
1656D4—1221no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—2442no—
1669D4—2442no—
1670D4—2442no—
1671D4—2442no—
1672D4—2442no—
1673D4—2442no—
1674D4—2442no—
1675D4—2442no—
1676D4—2442no—
1677D4—2442no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—614no—
1692C2×C4—611no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—4881no—
1709C2×C4—4881no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—2441no—
1716C2×C4—2442no—
1717C2×C4—2442no—
1718C2×C4—2442no—
1719C2×C4—2441no—
1720C2×C4—2441no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4C2×D4×D6111yescharacteristic
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C24×D6111yescharacteristic
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—1221no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C22—21no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—162no—
1751C22—1221no—
1752C22—1221no—
1753C22—1221no—
1754C22—9762no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22#135×D6112yes—
1765C22C22×D4×D6111yescharacteristic
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—21no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—612no—
1776C4—612no—
1777C4—1221no—
1778C4—1222no—
1779C4—1221no—
1780C4—1221no—
1781C4—1221no—
1782C4—1221no—
1783C4—2441no—
1784C4—2441no—
1785C4—2441no—
1786C4—2441no—
1787C4H(5,𝔽2)×D6111yescharacteristic
1788C4#1684059811yescharacteristic
1789C2—22no—
1790C2—41no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—4881no—
1795C2—4881no—
1796C2—4881no—
1797C2—2441no—
1798C2#2145948211yescharacteristic
1799C2C2×#135×D6111yescharacteristic
1800C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3297C2
socleC22×C61C23×D4
hypercenter#3297D61
hypocenterC61#61953
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #21459687C2semidirect
2. #21459413C2semidirect
3. #21458831C2semidirect
4. #21458826C2semidirect
5. #21458518C2semidirect
6. #21458512C2semidirect
7. #21457756C2semidirect
8. #21457754C2semidirect
9. #21457667C2semidirect
10. #21457665C2semidirect
11. #21457663C2semidirect
12. #21457576C2semidirect
13. #21457572C2semidirect
14. #21457531C2semidirect
15. #21457530C2semidirect
16. #21457523C2semidirect
17. #21457522C2semidirect
18. #21457144C2semidirect
19. #21457138C2semidirect
20. #21457130C2semidirect
21. #21456796C2semidirect
22. #21456792C2semidirect
23. #21456735C2semidirect
24. #21455875C2semidirect
25. #21455874C2semidirect
26. #21455855C2semidirect
27. #21455272C2semidirect
28. #21455271C2semidirect
29. C2×#16839961C2semidirect
30. #21454926C2semidirect
31. C61×#3297C2semidirect
32. C2×#14519799C22semidirect
33. C2×#14519798C22semidirect
34. C2×#14519797C22semidirect
35. C2×#14519796C22semidirect
41. #16840495C22semidirect
43. #16840489C22semidirect
44. #16840480C22semidirect
52. #16840430C22semidirect
71. #16840297C22semidirect
73. #16840293C22semidirect
76. #16840230C22semidirect
79. C4×#11758224C22semidirect
81. #16840146C22semidirect
82. #16840145C22semidirect
83. #16840144C22semidirect
84. #16840143C22semidirect
87. #16840119C22semidirect
88. #16840118C22semidirect
89. #16840115C22semidirect
93. #16840089C22semidirect
94. #16840086C22semidirect
95. #16840085C22semidirect
96. #16840065C22semidirect
97. #16840064C22semidirect
98. #16840059C22semidirect
99. #16840056C22semidirect
100. #16840056C22semidirect
101. #16840051C22semidirect
102. #16840050C22semidirect
103. #16840046C22semidirect
104. #16840045C22semidirect
105. #16839999C22semidirect
106. #16839997C22semidirect
107. #16839996C22semidirect
109. #16839992C22semidirect
111. #16839991C22semidirect
112. #16839990C22semidirect
114. #16839989C22semidirect
115. #16839987C22semidirect
116. #16839985C22semidirect
117. #16839983C22semidirect
118. #16839981C22semidirect
119. #16839980C22semidirect
120. #16839978C22semidirect
121. #16839977C22semidirect
122. #16839977C22semidirect
123. #16839976C22semidirect
124. #16839976C22semidirect
125. #16839975C22semidirect
126. #16839971C22semidirect
127. #16839971C22semidirect
128. #16839966C22semidirect
129. #16839965C22semidirect
138. #16839961C22semidirect
139. #16839960C22semidirect
144. #16839927C22semidirect
145. #16839926C22semidirect
146. #16839925C22semidirect
147. #16839924C22semidirect
150. #16839910C22semidirect
151. #16839909C22semidirect
152. #16839908C22semidirect
153. #16839908C22semidirect
154. #16839905C22semidirect
155. #16839905C22semidirect
156. #16839904C22semidirect
160. C8×Dic122C22semidirect
161. #16839886C22semidirect
162. #16839856C22semidirect
163. #16839856C22semidirect
164. #16839854C22semidirect
165. #16839854C22semidirect
166. #16839853C22semidirect
167. C4×#11758190C22semidirect
168. #16839849C22semidirect
169. C4×#11758200C22semidirect
170. #16839844C22semidirect
171. C4×#11758199C22semidirect
172. #16839842C22semidirect
175. C8×C22⋊D61C22semidirect
177. #16839825C22semidirect
178. #16839813C22semidirect
180. #16839812C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839757C22semidirect
185. #16839756C22semidirect
186. #16839755C22semidirect
190. C61×#488C22semidirect
192. C61×#482C22semidirect
193. C61×#478C22semidirect
194. C61×#466C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
199. C4×D8×C61C22semidirect
201. C61×#416C22semidirect
788. C2×Dic61#135semidirect
900. #3297D61semidirect
992. #488C2×D61semidirect
1000. #482C2×D61semidirect
1004. #478C2×D61semidirect
1014. #466C2×D61semidirect
1034. #463C2×D61semidirect
1066. #449C2×D61semidirect
1084. C4×D8C2×D61semidirect
1100. #416C2×D61semidirect
1103. C61#61953semidirect

Maximal subgroups

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

subgroupindex
#214596872
#214594132
#214588312
#214588262
#214585182
#214585122
#214577562
#214577542
#214576672
#214576652
#214576632
#214575762
#214575722
#214575312
#214575302
#214575232
#214575222
#214571442
#214571382
#214571302
#214567962
#214567922
#214567352
#214558752
#214558742
#214558552
#214552722
#214552712
C2×#168399612
#214549262
C61×#32972
#6195361