Finite Group Databasebeta

← #30575788

Subgroups — #30575788

Order 15616.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic, complemented
2D4×#11758224C211yesmaximal, characteristic, complemented
3#21458721C211yesmaximal, characteristic, complemented
4#21458719C211yesmaximal, characteristic, complemented
5#21458523C211yesmaximal, characteristic, complemented
6#21458521C211yesmaximal, characteristic, complemented
7#21458412C211yesmaximal, characteristic, complemented
8#21458409C211yesmaximal, characteristic, complemented
9#21458295C211yesmaximal, characteristic, complemented
10#21458291C211yesmaximal, characteristic, complemented
11#21458287C211yesmaximal, characteristic, complemented
12#21458283C211yesmaximal, characteristic, complemented
13#21458057C211yesmaximal, characteristic, complemented
14#21458054C211yesmaximal, characteristic, complemented
15#21457964C211yesmaximal, characteristic, complemented
16#21457960C211yesmaximal, characteristic, complemented
17#21457956C211yesmaximal, characteristic, complemented
18#21457198C211yesmaximal, characteristic, complemented
19#21457196C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457014C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455908C211yesmaximal, characteristic, complemented
25#21455905C211yesmaximal, characteristic, complemented
26#21455814C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455613C211yesmaximal, characteristic, complemented
29C2×#16840050C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32C22×#11758224—21no—
33#16840479—21no—
34#16840476C2211yescharacteristic, complemented
35#16840475C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic, complemented
37#16840468C2211yescharacteristic, complemented
38#16840464C2211yescharacteristic, complemented
39#16840460C2211yescharacteristic, complemented
40#16840458C2211yescharacteristic, complemented
41#16840432C2211yescharacteristic
42D4×Dic122C2211yescharacteristic
43#16840421—21no—
44#16840418—21no—
45#16840418—21no—
46#16840416C2211yescharacteristic
47#16840412C2211yescharacteristic
48#16840412C2211yescharacteristic
49#16840410—21no—
50#16840406—21no—
51#16840399—21no—
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54D4×C22⋊D61C2211yescharacteristic
55#16840380—21no—
56#16840378—21no—
57#16840339—21no—
58#16840318C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840310C2211yescharacteristic
61#16840309C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840307C2211yescharacteristic, complemented
65#16840307C2211yescharacteristic, complemented
66C2×#14519776C2211yescharacteristic, complemented
67#16840272—21no—
68#16840268—21no—
69#16840268—21no—
70#16840241—21no—
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×D4×Dic61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840087C2211yescharacteristic, complemented
87#16840086C2211yescharacteristic, complemented
88#16840085C2211yescharacteristic, complemented
89#16840085C2211yescharacteristic, complemented
90#16840084C2211yescharacteristic, complemented
91#16840084C2211yescharacteristic, complemented
92#16840083C2211yescharacteristic, complemented
93#16840082C2211yescharacteristic, complemented
94#16840081C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic, complemented
96#16840080C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic
103#16840064C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic, complemented
105#16840062C2211yescharacteristic
106#16840060C2211yescharacteristic
107#16840060C2211yescharacteristic, complemented
108#16840059C2211yescharacteristic, complemented
109#16840053C2211yescharacteristic, complemented
110#16840052C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic, complemented
112#16840051C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic, complemented
114#16840050C2211yescharacteristic
115#16840050C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840050C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840015C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic, complemented
133#16840014C2211yescharacteristic, complemented
134#16840013C2211yescharacteristic, complemented
135#16840013C2211yescharacteristic, complemented
136#16840012C2211yescharacteristic, complemented
137#16840012C2211yescharacteristic, complemented
138#16839998C2211yescharacteristic, complemented
139#16839996C2211yescharacteristic, complemented
140#16839996C2211yescharacteristic, complemented
141#16839956C2211yescharacteristic, complemented
142#16839956C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic, complemented
144#16839955C2211yescharacteristic
145#16839955C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic, complemented
147#16839955C2211yescharacteristic, complemented
148#16839955C2211yescharacteristic, complemented
149#16839954C2211yescharacteristic, complemented
150#16839897C2211yescharacteristic
151#16839896C2211yescharacteristic
152#16839896C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839874C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839872C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839871C2211yescharacteristic, complemented
163D8×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic, complemented
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839830C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179C2×#14519709C2211yescharacteristic, complemented
180C2×#14519708C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839765C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#469C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#447C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—48no—
214C2×#11758224D411yescharacteristic
215C22×Dic122—21no—
216C22×Dic122—21no—
217C22×C22⋊D61—21no—
218C22×C22⋊D61—21no—
219C2×D4×D61C2311yescharacteristic
220C23×Dic61—21no—
221C23×Dic61—21no—
222C22×C4×D61—21no—
223C2×D488C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758194C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C22×#92418C2311yescharacteristic
232#14519777C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519770—21no—
248#14519769C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519765—21no—
252#14519764—21no—
253#14519764—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519761—21no—
263#14519761—21no—
264#14519761—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757—21no—
271#14519757—21no—
272#14519756—21no—
273#14519756—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519752C2311yescharacteristic
287#14519751—21no—
288#14519751C2311yescharacteristic
289#14519751C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519750—21no—
293#14519750—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519748—21no—
306#14519748—21no—
307#14519748C2311yescharacteristic
308#14519748C2311yescharacteristic
309#14519748C2311yescharacteristic
310#14519746—21no—
311#14519746—21no—
312#14519745—21no—
313#14519745—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319#14519742D411yescharacteristic
320C4×D244C2311yescharacteristic
321C4×D244C2311yescharacteristic
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61D411yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737D411yescharacteristic
353#14519737D411yescharacteristic
354#14519736C2311yescharacteristic
355#14519735D411yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C2×C22⋊Dic61—21no—
370C2×C22⋊Dic61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C22×D4×C61—21no—
437C22×D4×C61C2311yescharacteristic
438C22×D4×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444#127×C61C2311yescharacteristic
445#126×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#120×C61—21no—
455#120×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C24×C61—21no—
480C24×C61—21no—
481C23×D61—21no—
482C2×D4×C61—22no—
483C2×D4×C61—22no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—41no—
493C2×D4×C61—41no—
494C2×D4×C61—44no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C2×C22⋊D61—21no—
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—44no—
520C2×C22⋊D61—44no—
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—44no—
536C22×Dic61—44no—
537C22×Dic61C2×D411yescharacteristic
538C22×Dic61C2×D411yescharacteristic
539C22×Dic61C2×D411yescharacteristic
540C22×Dic61C2×D411yescharacteristic
541#11758224—24no—
542#11758224—44no—
543#11758224—44no—
544#11758224—44no—
545#11758224—44no—
546#11758224—44no—
547#11758224—44no—
548#11758224—44no—
549#11758224—44no—
550#11758224—82no—
551D4×D61—22no—
552D4×D61—41no—
553#11758222—82no—
554C2×D244—21no—
555C2×D244C2411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—44no—
564C2×C4×D61C2×D411yescharacteristic
565C2×C4×D61C2×D411yescharacteristic
566C2×C4×D61C2411yescharacteristic
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122—21no—
574C2×Dic122—21no—
575C2×Dic122—44no—
576C2×Dic122—82no—
577C2×Dic122C2×D411yescharacteristic
578D8×C61—22no—
579D8×C61—41no—
580D8×C61—41no—
581M16×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×C61C2×D411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
603C22⋊C4×C61C2×D411yescharacteristic
604C42×C61—21no—
605C42×C61C2411yescharacteristic
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
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⋊Dic61—21no—
619C22⋊Dic61C2×D411yescharacteristic
620C22⋊Dic61C2×D411yescharacteristic
621#11758199—22no—
622#11758199—41no—
623#11758199—41no—
624#11758199—41no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
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#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C4×Dic61C2411yescharacteristic
679C4×Dic61C2411yescharacteristic
680#11758194—41no—
681C2×#92418—41no—
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686D488—41no—
687#11758189—41no—
688#11758189—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—42no—
694C23×C61—42no—
695C23×C61—42no—
696C23×C61—42no—
697C23×C61—81no—
698C23×C61—81no—
699C23×C61C22×D411yescharacteristic
700C23×C61C22×D411yescharacteristic
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—42no—
704C22×D61—42no—
705C22×D61—81no—
706C22×D61C22×D411yescharacteristic
707D4×C61—22no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—42no—
716D4×C61—42no—
717D4×C61—42no—
718D4×C61—42no—
719D4×C61—42no—
720D4×C61—42no—
721D4×C61—81no—
722D4×C61—81no—
723D4×C612−1+412yes—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—42no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C2511yescharacteristic
740C22⋊D61—22no—
741C22⋊D61—22no—
742C22⋊D61—42no—
743C22⋊D61—42no—
744C22⋊D61—42no—
745C22⋊D61—42no—
746C22⋊D61—42no—
747C22⋊D61—42no—
748C22⋊D61—42no—
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—42no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C2×Dic61—22no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—41no—
764C2×Dic61—41no—
765C2×Dic61—42no—
766C2×Dic61—42no—
767C2×Dic61—42no—
768C2×Dic61—42no—
769C2×Dic61—42no—
770C2×Dic61—42no—
771C2×Dic61—42no—
772C2×Dic61—42no—
773C2×Dic61—42no—
774C2×Dic61—42no—
775C2×Dic61—81no—
776C2×Dic61—81no—
777C2×Dic61AGL(1,ℤ/8)14yes—
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785D244—21no—
786D244—21no—
787D244—21no—
788D244—21no—
789D244—81no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—22no—
793C4×D61—41no—
794C4×D61—42no—
795C4×D61—42no—
796C4×D61—42no—
797C4×D61—42no—
798C4×D61—81no—
799C4×D61—81no—
800Dic122—22no—
801Dic122—42no—
802Dic122—42no—
803Dic122—42no—
804Dic122—42no—
805Dic122—42no—
806Dic122—42no—
807Dic122—81no—
808Dic122—81no—
809C8×C61—21no—
810C8×C61—21no—
811C8×C61—21no—
812C8×C61—21no—
813#92418—21no—
814#92418—21no—
815#92418—21no—
816#92418—21no—
817#62110—611nomaximal, Sylow
818C22×C61—21no—
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—22no—
822C22×C61—21no—
823C22×C61—21no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—84no—
836C22×C61—84no—
837C22×C61C2×AGL(1,ℤ/8)12yes—
838C22×C61C23×D411yescharacteristic
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—21no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—84no—
849C4×C61—21no—
850C4×C61—21no—
851C4×C61—21no—
852C4×C61—21no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61C2×2−1+411yescharacteristic
858C4×C61#58511yescharacteristic
859Dic61—21no—
860Dic61—21no—
861Dic61—21no—
862Dic61—21no—
863Dic61—21no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61C2×AGL(1,ℤ/8)12yes—
871Dic61C2×AGL(1,ℤ/8)12yes—
872#3511—611no—
873D4×#41—611no—
874#3384—611no—
875#3384—611no—
876#3366—611no—
877#3366—611no—
878#3354—611no—
879#3354—611no—
880#3345—611no—
881#3345—611no—
882#3345—611no—
883#3345—611no—
884#3325—611no—
885#3325—611no—
886#3318—611no—
887#3318—611no—
888#3318—611no—
889#3318D6111yescharacteristic, complemented
890#3253—611no—
891#3253—611no—
892#3245—611no—
893#3235—611no—
894#3235—611no—
895#3227—611no—
896#3109—611no—
897#3109—611no—
898#3100—611no—
899#3077—611no—
900#3077—611no—
901C2×#476—611no—
902#2989—611no—
903C2×C61—22no—
904C2×C61—42no—
905C2×C61—41no—
906C2×C61—81no—
907C2×C61—81no—
908C2×C61—81no—
909C2×C61#348911yescharacteristic
910C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
911C2×C61#358511yescharacteristic
912D61—41no—
913D61—81no—
914D61—81no—
915C22×#41—1221no—
916#556—1221no—
917#555—611no—
918#555—611no—
919#554—611no—
920#554—611no—
921#553—611no—
922#553—611no—
923#553—611no—
924#553C2×D6111yescharacteristic, complemented
925#550—611no—
926D4×Q8—611no—
927#548—1221no—
928#548—1221no—
929#548—1221no—
930#547—611no—
931#547—611no—
932#547—611no—
933#547—1221no—
934#546—1221no—
935#546—1221no—
936#546—1221no—
937D42—611no—
938D42—611no—
939D42C2×D6111yescharacteristic
940#542—1221no—
941#542—1221no—
942#537—1221no—
943#533—611no—
944#533—611no—
945#532—611no—
946#532—611no—
947#532—611no—
948#532—611no—
949#532—611no—
950#532—611no—
951C2×C4⋊Q8—611no—
952#525—1221no—
953#525—1221no—
954#525—1221no—
955#520—1221no—
956C4×#41—611no—
957C2×C4×D4—611no—
958C2×C4×D4—611no—
959C2×C4×D4—611no—
960#501—611no—
961#501—611no—
962#501—611no—
963#501—611no—
964#498—611no—
965#498—611no—
966#490—611no—
967#490—611no—
968#490—611no—
969#490C2×D6111yescharacteristic, complemented
970#486—611no—
971#486—611no—
972#482—611no—
973#482—611no—
974#482—611no—
975#482—611no—
976#482—611no—
977#482—611no—
978#482—611no—
979#482C2×D6111yescharacteristic, complemented
980#481—611no—
981#481—611no—
982#481—611no—
983#481—611no—
984#481—611no—
985#481—611no—
986#481—611no—
987#481C2×D6111yescharacteristic, complemented
988#480—611no—
989#480—611no—
990#478—611no—
991#478—611no—
992#478—611no—
993#478—611no—
994#478—611no—
995#478—611no—
996#478—611no—
997#478C2×D6111yescharacteristic
998#476—611no—
999#476—611no—
1000#476—611no—
1001#476—611no—
1002#476—611no—
1003#476—611no—
1004#476—611no—
1005#476—611no—
1006#476—611no—
1007#476—611no—
1008#476—611no—
1009#476—611no—
1010#476—611no—
1011#476—611no—
1012#476—611no—
1013#476—611no—
1014#474—611no—
1015#474—611no—
1016#474—611no—
1017#474—611no—
1018#474—611no—
1019#474—611no—
1020#469—611no—
1021#469—611no—
1022#469—611no—
1023#469—611no—
1024#469—611no—
1025#469—611no—
1026#469—611no—
1027#469C2×D6111yescharacteristic, complemented
1028#466—611no—
1029#466—611no—
1030#466—611no—
1031#466C2×D6111yescharacteristic, complemented
1032#459—611no—
1033#459—611no—
1034#459—611no—
1035#459—611no—
1036#459—611no—
1037#459—611no—
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459C2×D6111yescharacteristic, complemented
1042#447—611no—
1043#447—611no—
1044#447—611no—
1045#447—611no—
1046#447C2×D6111yescharacteristic
1047#447C2×D6111yescharacteristic
1048#446—611no—
1049#446—611no—
1050#442—611no—
1051#442—611no—
1052#442—611no—
1053#442—611no—
1054#442—611no—
1055#442—611no—
1056#442—611no—
1057#442C2×D6111yescharacteristic
1058C4×D8—611no—
1059C4×D8—611no—
1060C4×D8—611no—
1061C4×D8—611no—
1062#436—611no—
1063#436—611no—
1064#435—611no—
1065#435—611no—
1066#435—611no—
1067#435C2×D6111yescharacteristic, complemented
1068#432—611no—
1069#432—611no—
1070#431—611no—
1071#428—611no—
1072#428—611no—
1073#428—611no—
1074#428—611no—
1075C2×#106—611no—
1076C2×#106—611no—
1077#423—611no—
1078#423—611no—
1079C2×C4⋊C8—611no—
1080#418—611no—
1081#418—611no—
1082#418—611no—
1083#418C2×D6111yescharacteristic
1084C2×#102—611no—
1085C2×#102C2×D6111yescharacteristic
1086C61#6211011yescharacteristic, complemented, Sylow
1087C2×#41—611no—
1088C2×#41—1221no—
1089C2×#41—1221no—
1090C2×#41—1221no—
1091C2×#41—1221no—
1092C2×#41—1221no—
1093C2×#41—1221no—
1094C2×#41—1221no—
1095C2×#41—1221no—
1096C2×#41—1221no—
1097C2×#41—1221no—
1098C2×#41—2448no—
1099C22×Q8—1221no—
1100C22×Q8—1221no—
1101C22×D4—21no—
1102C22×D4—611no—
1103C22×D4—1221no—
1104C22×D4—1221no—
1105C22×D4C22×D6111yescharacteristic
1106C22×D4C22×D6111yescharacteristic
1107C23×C4—1221no—
1108C23×C4—1221no—
1109C23×C4—1221no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×D8—611no—
1113C2×D8—611no—
1114C2×D8—611no—
1115C2×D8C22×D6111yescharacteristic
1116C2×D8C22×D6111yescharacteristic
1117C2×D8C22×D6111yescharacteristic
1118C2×M16—611no—
1119C2×M16—611no—
1120C2×M16—611no—
1121C2×M16C22×D6111yescharacteristic
1122C22×C8—611no—
1123C22×C8C22×D6111yescharacteristic
1124C4⋊Q8—611no—
1125C4⋊Q8—611no—
1126C4⋊Q8—611no—
1127C4⋊Q8—611no—
1128C4⋊Q8—611no—
1129C4⋊Q8—611no—
1130C4⋊Q8—611no—
1131C4⋊Q8—611no—
1132C4⋊Q8—1221no—
1133C4⋊Q8—1221no—
1134#127—611no—
1135#127—611no—
1136#127—611no—
1137#127C22×D6111yescharacteristic
1138#126—21no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#125—611no—
1143#125—611no—
1144#125—611no—
1145#125C22×D6111yescharacteristic
1146#124—1221no—
1147#124—1221no—
1148#124—1221no—
1149#124—1221no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#123—21no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182#121—21no—
1183#121—21no—
1184#121—611no—
1185#121—611no—
1186#121—611no—
1187#121—611no—
1188#121—611no—
1189#121—611no—
1190#121—611no—
1191#121—611no—
1192#121—1221no—
1193#121—1221no—
1194#121—1221no—
1195#121—1221no—
1196#121—1221no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121—1221no—
1204#121—1221no—
1205#121—1221no—
1206#121—1221no—
1207#121—1221no—
1208#121C22×D6111yescharacteristic
1209#121C22×D6111yescharacteristic
1210#121C22×D6111yescharacteristic
1211#121C22×D6111yescharacteristic
1212#120—21no—
1213#120—21no—
1214#120—1221no—
1215#120—1221no—
1216#120—1221no—
1217#120—1221no—
1218C4×Q8—611no—
1219C4×Q8—611no—
1220C4×Q8—1221no—
1221C4×Q8—1221no—
1222C4×Q8—1221no—
1223C4×Q8—1221no—
1224C4×D4—21no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—611no—
1232C4×D4—611no—
1233C4×D4—611no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4C22×D6111yescharacteristic
1260C4×D4C22×D6111yescharacteristic
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
1266#117—611no—
1267#117—611no—
1268#117—1221no—
1269#117—1221no—
1270#117C22×D6111yescharacteristic
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—611no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4—1221no—
1277C2×C4⋊C4—1221no—
1278C2×C4⋊C4C22×D6111yescharacteristic
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—611no—
1284C2×C42—611no—
1285#107—611no—
1286#107—611no—
1287#107—611no—
1288#107—611no—
1289#107—611no—
1290#107—611no—
1291#107—611no—
1292#107C22×D6111yescharacteristic
1293#106—611no—
1294#106—611no—
1295#106—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300#106—611no—
1301#106—611no—
1302#106—611no—
1303#106—611no—
1304#106—611no—
1305#106—611no—
1306#106—611no—
1307#106C22×D6111yescharacteristic
1308#106C22×D6111yescharacteristic
1309C4⋊C8—611no—
1310C4⋊C8—611no—
1311C4⋊C8—611no—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8—611no—
1317C4⋊C8—611no—
1318C4⋊C8C22×D6111yescharacteristic
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102C22×D6111yescharacteristic
1342#102C22×D6111yescharacteristic
1343#102C22×D6111yescharacteristic
1344#102C22×D6111yescharacteristic
1345#102C22×D6111yescharacteristic
1346#102C22×D6111yescharacteristic
1347#102C22×D6111yescharacteristic
1348#102C22×D6111yescharacteristic
1349#102C22×D6111yescharacteristic
1350#102C22×D6111yescharacteristic
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8C22×D6111yescharacteristic
1356C22⋊C8C22×D6111yescharacteristic
1357#97—611no—
1358#97—611no—
1359#97—611no—
1360#97C22×D6111yescharacteristic
1361C4×C8—611no—
1362C4×C8—611no—
1363C24—21no—
1364C24—21no—
1365C24—1221no—
1366#41—1224no—
1367#41—4882no—
1368#41—4882no—
1369#41—2444no—
1370#41—2444no—
1371#41—2444no—
1372#41—2444no—
1373#41—2444no—
1374#41—2444no—
1375#41—2444no—
1376#41—2444no—
1377C2×Q8—611no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—1221no—
1382C2×Q8—1221no—
1383C2×Q8—1221no—
1384C2×Q8—1221no—
1385C2×Q8—1221no—
1386C2×Q8—4882no—
1387C2×Q8—2444no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—44no—
1401C2×D4—611no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1222no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—2441no—
1422C2×D4—2444no—
1423C2×D4—2444no—
1424C2×D4D4×D6111yescharacteristic
1425C2×D4C23×D6111yescharacteristic
1426C2×D4C23×D6111yescharacteristic
1427C2×D4C23×D6111yescharacteristic
1428C2×D4C23×D6111yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—2444no—
1458C22×C4—2444no—
1459C22×C4—2444no—
1460C22×C4C23×D6111yescharacteristic
1461C22×C4C23×D6111yescharacteristic
1462D8—22no—
1463D8—41no—
1464D8—41no—
1465D8—1222no—
1466D8—2441no—
1467D8—2441no—
1468D8—2441no—
1469D8—2441no—
1470M16—41no—
1471M16—2441no—
1472M16—2441no—
1473M16—2441no—
1474C2×C8—41no—
1475C2×C8—611no—
1476C2×C8—611no—
1477C2×C8—611no—
1478C2×C8—611no—
1479C2×C8—2441no—
1480C2×C8C23×D6111yescharacteristic
1481C2×C8C23×D6111yescharacteristic
1482C2×C8C23×D6111yescharacteristic
1483C2×C8C23×D6111yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—611no—
1488C4⋊C4—611no—
1489C4⋊C4—611no—
1490C4⋊C4—611no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4D4×D6111yescharacteristic
1517C4⋊C4C23×D6111yescharacteristic
1518C4⋊C4C23×D6111yescharacteristic
1519C4⋊C4C23×D6111yescharacteristic
1520C4⋊C4C23×D6111yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—611no—
1529C22⋊C4—611no—
1530C22⋊C4—611no—
1531C22⋊C4—611no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4D4×D6111yescharacteristic
1558C22⋊C4D4×D6111yescharacteristic
1559C42—21no—
1560C42—611no—
1561C42—611no—
1562C42—611no—
1563C42—611no—
1564C42—611no—
1565C42—611no—
1566C42—611no—
1567C42—611no—
1568C42—611no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—42no—
1581C23—81no—
1582C23—81no—
1583C23—611no—
1584C23—1221no—
1585C23—1221no—
1586C23—4881no—
1587C23—2442no—
1588C23—2442no—
1589C23C2×D4×D6111yescharacteristic
1590C23C2×D4×D6111yescharacteristic
1591Q8—1222no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—2442no—
1595Q8—2442no—
1596Q8—2442no—
1597Q8—2442no—
1598Q8—2442no—
1599Q8—2442no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—1222no—
1617D4—1222no—
1618D4—1221no—
1619D4—1221no—
1620D4—1221no—
1621D4—1221no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—4881no—
1626D4—4881no—
1627D4—2442no—
1628D4—2442no—
1629D4—2442no—
1630D4—2442no—
1631D4—2442no—
1632D4—2442no—
1633D4—2442no—
1634D4—2442no—
1635D4—2442no—
1636D4—2442no—
1637D4#1451982412yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—614no—
1650C2×C4—611no—
1651C2×C4—611no—
1652C2×C4—611no—
1653C2×C4—611no—
1654C2×C4—611no—
1655C2×C4—611no—
1656C2×C4—611no—
1657C2×C4—1222no—
1658C2×C4—1222no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—4881no—
1668C2×C4—4881no—
1669C2×C4—4881no—
1670C2×C4—4881no—
1671C2×C4—2441no—
1672C2×C4—2442no—
1673C2×C4—2442no—
1674C2×C4—2442no—
1675C2×C4—2442no—
1676C2×C4—2442no—
1677C2×C4—2442no—
1678C2×C4—2442no—
1679C2×C4—2442no—
1680C2×C4—2442no—
1681C2×C4—2442no—
1682C2×C4—2441no—
1683C2×C4—2441no—
1684C2×C4—2442no—
1685C2×C4—2442no—
1686C2×C4—2442no—
1687C2×C4—2442no—
1688C2×C4C2×D4×D6111yescharacteristic
1689C2×C4C2×D4×D6111yescharacteristic
1690C2×C4C2×D4×D6111yescharacteristic
1691C2×C4C2×D4×D6111yescharacteristic
1692C2×C4C24×D6111yescharacteristic
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C8—21no—
1697C8—1221no—
1698C8—1221no—
1699C8—1221no—
1700C8—1221no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—22no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—84no—
1719C22—84no—
1720C22—1221no—
1721C22—1221no—
1722C22—1221no—
1723C22—4884no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22AGL(1,ℤ/8)×D6112yes—
1731C22C22×D4×D6111yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—612no—
1741C4—612no—
1742C4—1221no—
1743C4—1221no—
1744C4—1221no—
1745C4—1221no—
1746C4—1221no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4C2×#1451982411yescharacteristic
1754C4#1684059711yescharacteristic
1755C2—22no—
1756C2—41no—
1757C2—42no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—4881no—
1762C2—4881no—
1763C2—2441no—
1764C2#2145949011yescharacteristic
1765C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1766C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#62110
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21459721C2semidirect
2. D4×#11758224C2semidirect
3. #21458721C2semidirect
4. #21458719C2semidirect
5. #21458523C2semidirect
6. #21458521C2semidirect
7. #21458412C2semidirect
8. #21458409C2semidirect
9. #21458295C2semidirect
10. #21458291C2semidirect
11. #21458287C2semidirect
12. #21458283C2semidirect
13. #21458057C2semidirect
14. #21458054C2semidirect
15. #21457964C2semidirect
16. #21457960C2semidirect
17. #21457956C2semidirect
18. #21457198C2semidirect
19. #21457196C2semidirect
20. #21457125C2semidirect
21. #21457014C2semidirect
22. #21457012C2semidirect
23. #21456945C2semidirect
24. #21455908C2semidirect
25. #21455905C2semidirect
26. #21455814C2semidirect
27. #21455614C2semidirect
28. #21455613C2semidirect
29. C2×#16840050C2semidirect
30. #21454931C2semidirect
31. C61×#3318C2semidirect
34. #16840476C22semidirect
35. #16840475C22semidirect
36. #16840471C22semidirect
37. #16840468C22semidirect
38. #16840464C22semidirect
39. #16840460C22semidirect
40. #16840458C22semidirect
58. #16840318C22semidirect
59. #16840315C22semidirect
61. #16840309C22semidirect
64. #16840307C22semidirect
65. #16840307C22semidirect
66. C2×#14519776C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840159C22semidirect
80. #16840159C22semidirect
81. #16840126C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840087C22semidirect
87. #16840086C22semidirect
88. #16840085C22semidirect
89. #16840085C22semidirect
90. #16840084C22semidirect
91. #16840084C22semidirect
92. #16840083C22semidirect
93. #16840082C22semidirect
94. #16840081C22semidirect
95. #16840081C22semidirect
96. #16840080C22semidirect
97. #16840079C22semidirect
98. #16840078C22semidirect
99. #16840078C22semidirect
100. #16840076C22semidirect
101. #16840073C22semidirect
103. #16840064C22semidirect
104. #16840063C22semidirect
107. #16840060C22semidirect
108. #16840059C22semidirect
109. #16840053C22semidirect
110. #16840052C22semidirect
111. #16840051C22semidirect
112. #16840051C22semidirect
113. #16840051C22semidirect
118. #16840050C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
121. #16840050C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840050C22semidirect
125. #16840041C22semidirect
126. #16840041C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840015C22semidirect
132. #16840014C22semidirect
133. #16840014C22semidirect
134. #16840013C22semidirect
135. #16840013C22semidirect
136. #16840012C22semidirect
137. #16840012C22semidirect
138. #16839998C22semidirect
139. #16839996C22semidirect
140. #16839996C22semidirect
141. #16839956C22semidirect
142. #16839956C22semidirect
143. #16839956C22semidirect
145. #16839955C22semidirect
146. #16839955C22semidirect
147. #16839955C22semidirect
148. #16839955C22semidirect
149. #16839954C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839875C22semidirect
158. #16839874C22semidirect
160. #16839872C22semidirect
162. #16839871C22semidirect
164. D8×Dic61C22semidirect
166. #16839842C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
171. #16839830C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839803C22semidirect
178. #16839801C22semidirect
179. C2×#14519709C22semidirect
180. C2×#14519708C22semidirect
181. #16839785C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
188. C61×#553C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
194. C61×#469C22semidirect
195. C61×#466C22semidirect
196. C61×#459C22semidirect
200. C61×#435C22semidirect
889. #3318D61semidirect
924. #553C2×D61semidirect
969. #490C2×D61semidirect
979. #482C2×D61semidirect
987. #481C2×D61semidirect
1027. #469C2×D61semidirect
1031. #466C2×D61semidirect
1041. #459C2×D61semidirect
1067. #435C2×D61semidirect
1086. C61#62110semidirect

Maximal subgroups

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

subgroupindex
#214597212
D4×#117582242
#214587212
#214587192
#214585232
#214585212
#214584122
#214584092
#214582952
#214582912
#214582872
#214582832
#214580572
#214580542
#214579642
#214579602
#214579562
#214571982
#214571962
#214571252
#214570142
#214570122
#214569452
#214559082
#214559052
#214558142
#214556142
#214556132
C2×#168400502
#214549312
C61×#33182
#6211061