Finite Group Databasebeta

← #30575771

Subgroups — #30575771

Order 15616.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2D4×#11758224C211yesmaximal, characteristic
3#21458741C211yesmaximal, characteristic, complemented
4#21458735C211yesmaximal, characteristic, complemented
5#21458545C211yesmaximal, characteristic, complemented
6#21458543C211yesmaximal, characteristic, complemented
7#21458401C211yesmaximal, characteristic, complemented
8#21458398C211yesmaximal, characteristic, complemented
9#21458265C211yesmaximal, characteristic, complemented
10#21458263C211yesmaximal, characteristic, complemented
11#21458261C211yesmaximal, characteristic, complemented
12#21458259C211yesmaximal, characteristic, complemented
13#21458046C211yesmaximal, characteristic, complemented
14#21458043C211yesmaximal, characteristic, complemented
15#21457844C211yesmaximal, characteristic, complemented
16#21457840C211yesmaximal, characteristic, complemented
17#21457836C211yesmaximal, characteristic, complemented
18#21457204C211yesmaximal, characteristic, complemented
19#21457201C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457014C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455916C211yesmaximal, characteristic, complemented
25#21455913C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455613C211yesmaximal, characteristic, complemented
29C2×#16840040C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32C22×#11758224—21no—
33#16840489—21no—
34#16840489C2211yescharacteristic, complemented
35#16840488C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic, complemented
37#16840480C2211yescharacteristic, complemented
38#16840479—21no—
39#16840454C2211yescharacteristic, complemented
40#16840452C2211yescharacteristic, complemented
41#16840449—21no—
42#16840447C2211yescharacteristic, complemented
43#16840445—21no—
44#16840432C2211yescharacteristic
45D4×Dic122C2211yescharacteristic
46#16840418—21no—
47#16840416C2211yescharacteristic
48#16840412C2211yescharacteristic
49#16840412C2211yescharacteristic
50#16840406—21no—
51#16840399—21no—
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54D4×C22⋊D61C2211yescharacteristic
55#16840371—21no—
56#16840369—21no—
57#16840334—21no—
58#16840318C2211yescharacteristic, complemented
59#16840316C2211yescharacteristic, complemented
60#16840315C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840314C2211yescharacteristic, complemented
63#16840310C2211yescharacteristic
64#16840307C2211yescharacteristic
65#16840307C2211yescharacteristic
66C2×#14519776C2211yescharacteristic, complemented
67#16840272—21no—
68#16840268—21no—
69#16840268—21no—
70#16840239—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#16840166C2211yescharacteristic, complemented
80#16840166C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840099C2211yescharacteristic, complemented
87#16840098C2211yescharacteristic, complemented
88#16840096C2211yescharacteristic, complemented
89#16840095C2211yescharacteristic, complemented
90#16840093C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840084C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic, complemented
99#16840076C2211yescharacteristic, complemented
100#16840075C2211yescharacteristic, complemented
101#16840073C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic
103#16840064C2211yescharacteristic, complemented
104#16840063C2211yescharacteristic, complemented
105#16840062C2211yescharacteristic
106#16840060C2211yescharacteristic
107#16840060C2211yescharacteristic, complemented
108#16840059C2211yescharacteristic, complemented
109#16840058C2211yescharacteristic, complemented
110#16840057C2211yescharacteristic, complemented
111#16840056C2211yescharacteristic, complemented
112#16840055C2211yescharacteristic, complemented
113#16840051C2211yescharacteristic, complemented
114#16840050C2211yescharacteristic
115#16840050C2211yescharacteristic, complemented
116#16840050C2211yescharacteristic, complemented
117#16840046C2211yescharacteristic, complemented
118#16840045C2211yescharacteristic, complemented
119#16840041C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic, complemented
121#16840040C2211yescharacteristic
122#16840040C2211yescharacteristic
123#16840040C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840040C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840010C2211yescharacteristic, complemented
132#16840008C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic, complemented
134#16840007C2211yescharacteristic, complemented
135#16840006C2211yescharacteristic, complemented
136#16840005C2211yescharacteristic, complemented
137#16840005C2211yescharacteristic, complemented
138#16839993C2211yescharacteristic, complemented
139#16839991C2211yescharacteristic, complemented
140#16839989C2211yescharacteristic, complemented
141#16839966C2211yescharacteristic, complemented
142#16839965C2211yescharacteristic
143#16839965C2211yescharacteristic, complemented
144#16839965C2211yescharacteristic, complemented
145#16839961C2211yescharacteristic, complemented
146#16839961C2211yescharacteristic, complemented
147#16839960C2211yescharacteristic, complemented
148#16839960C2211yescharacteristic, complemented
149#16839959C2211yescharacteristic, complemented
150#16839914C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic, complemented
157#16839863C2211yescharacteristic
158#16839863C2211yescharacteristic, complemented
159#16839862C2211yescharacteristic
160#16839860C2211yescharacteristic, complemented
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic, complemented
165SD16×Dic61C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic, 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×#14519711C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839765C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—48no—
211C2×#11758224D411yescharacteristic
212C22×Dic122—21no—
213C22×Dic122—21no—
214C22×C22⋊D61—21no—
215C22×C22⋊D61—21no—
216C2×D4×D61C2311yescharacteristic
217C23×Dic61—21no—
218C23×Dic61—21no—
219C22×C4×D61—21no—
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758194C2311yescharacteristic
226C2×#11758189C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229#14519777C2311yescharacteristic
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776—21no—
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519775C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519771—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519769—21no—
252#14519769C2311yescharacteristic
253#14519768—21no—
254#14519768—21no—
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519764—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519761—21no—
270#14519761—21no—
271#14519761—21no—
272#14519760—21no—
273#14519759—21no—
274#14519759—21no—
275#14519758—21no—
276#14519758—21no—
277#14519758—21no—
278#14519757—21no—
279#14519757C2311yescharacteristic
280#14519756—21no—
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519751C2311yescharacteristic
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519748—21no—
304#14519748—21no—
305#14519748C2311yescharacteristic
306#14519748C2311yescharacteristic
307#14519746—21no—
308#14519746—21no—
309#14519745—21no—
310#14519745—21no—
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742D411yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61D411yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61C2311yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737D411yescharacteristic
351#14519737D411yescharacteristic
352#14519736—21no—
353#14519736C2311yescharacteristic
354#14519735D411yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733D411yescharacteristic
363#14519733D411yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—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#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
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×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444#127×C61C2311yescharacteristic
445#126×C61—21no—
446#125×C61—21no—
447#125×C61C2311yescharacteristic
448#123×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454#120×C61—21no—
455#120×C61—21no—
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×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×Q8×C61C2411yescharacteristic
483C2×D4×C61—22no—
484C2×D4×C61—22no—
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—41no—
492C2×D4×C61—41no—
493C2×D4×C61—44no—
494C2×D4×C61C2×D411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
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—44no—
512C2×C22⋊D61—44no—
513C2×C22⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—44no—
526C22×Dic61—44no—
527C22×Dic61C2×D411yescharacteristic
528C22×Dic61C2×D411yescharacteristic
529C22×Dic61C2×D411yescharacteristic
530C22×Dic61C2×D411yescharacteristic
531#11758224—24no—
532#11758224—44no—
533#11758224—44no—
534#11758224—44no—
535#11758224—44no—
536#11758224—44no—
537#11758224—44no—
538#11758224—44no—
539D4×D61—22no—
540D4×D61—41no—
541C2×D244C2411yescharacteristic
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—44no—
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—44no—
558C2×Dic122—44no—
559C2×Dic122C2×D411yescharacteristic
560C2×Dic122C2411yescharacteristic
561SD16×C61—22no—
562SD16×C61—41no—
563SD16×C61—41no—
564M16×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61C2×D411yescharacteristic
588C22⋊C4×C61C2×D411yescharacteristic
589C42×C61—21no—
590C42×C61—21no—
591C42×C61C2411yescharacteristic
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61C2×D411yescharacteristic
605C22⋊Dic61C2×D411yescharacteristic
606#11758201—41no—
607#11758200—22no—
608#11758200—41no—
609#11758200—41no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677#11758194—41no—
678C2×#92418—41no—
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683#11758190—41no—
684#11758189—41no—
685#11758189—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—42no—
690C23×C61—42no—
691C23×C61—42no—
692C23×C61—42no—
693C23×C61—81no—
694C23×C61—81no—
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697C22×D61—21no—
698C22×D61—42no—
699C22×D61—42no—
700C22×D61—81no—
701C22×D61C22×D411yescharacteristic
702Q8×C61—21no—
703Q8×C61—21no—
704D4×C61—22no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—42no—
711D4×C61—42no—
712D4×C61—42no—
713D4×C61—42no—
714D4×C61—42no—
715D4×C61—81no—
716D4×C612−1+412yes—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—42no—
727C2×C4×C61—42no—
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C2511yescharacteristic
733C22⋊D61—22no—
734C22⋊D61—22no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—42no—
738C22⋊D61—42no—
739C22⋊D61—42no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—22no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—41no—
753C2×Dic61—41no—
754C2×Dic61—42no—
755C2×Dic61—42no—
756C2×Dic61—42no—
757C2×Dic61—42no—
758C2×Dic61—42no—
759C2×Dic61—42no—
760C2×Dic61—42no—
761C2×Dic61—42no—
762C2×Dic61—42no—
763C2×Dic61—42no—
764C2×Dic61AGL(1,ℤ/8)14yes—
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772D244—21no—
773D244—21no—
774C4×D61—21no—
775C4×D61—21no—
776C4×D61—22no—
777C4×D61—41no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—42no—
781Dic122—22no—
782Dic122—21no—
783Dic122—21no—
784Dic122—42no—
785Dic122—42no—
786Dic122—42no—
787Dic122—42no—
788Dic122—42no—
789Dic122—42no—
790Dic122—42no—
791Dic122—42no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61—21no—
796#92418—21no—
797#92418—21no—
798#92418—21no—
799#92418—21no—
800#62109—611nomaximal, Sylow
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—22no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—84no—
816C22×C61—84no—
817C22×C61C2×AGL(1,ℤ/8)12yes—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—84no—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61C2×2−1+411yescharacteristic
836C4×C61#58511yescharacteristic
837Dic61—21no—
838Dic61—21no—
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61C2×AGL(1,ℤ/8)12yes—
850Dic61C2×AGL(1,ℤ/8)12yes—
851#3509—611no—
852D4×#41—611no—
853#3386—611no—
854#3386—611no—
855#3368—611no—
856#3368—611no—
857#3353—611no—
858#3353—611no—
859#3343—611no—
860#3343—611no—
861#3343—611no—
862#3343—611no—
863#3324—611no—
864#3324—611no—
865#3310—611no—
866#3310—611no—
867#3310—611no—
868#3310D6111yescharacteristic, complemented
869#3254—611no—
870#3254—611no—
871#3246—611no—
872#3235—611no—
873#3235—611no—
874#3226—611no—
875#3110—611no—
876#3110—611no—
877#3101—611no—
878#3077—611no—
879#3077—611no—
880C2×#474—611no—
881#2989—611no—
882C2×C61—22no—
883C2×C61—42no—
884C2×C61—41no—
885C2×C61—81no—
886C2×C61—81no—
887C2×C61#348911yescharacteristic
888C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
889C2×C61#358611yescharacteristic
890D61—41no—
891D61—81no—
892C22×#41—1221no—
893#557—611no—
894#557—611no—
895#557—1221no—
896#556—611no—
897#556—611no—
898#556—1221no—
899#552—611no—
900#552—611no—
901#552—611no—
902#552—1221no—
903#552—1221no—
904#552C2×D6111yescharacteristic, complemented
905#550—611no—
906D4×Q8—611no—
907#548—1221no—
908#547—611no—
909#547—611no—
910#547—611no—
911#546—1221no—
912#546—1221no—
913#546—1221no—
914D42—611no—
915D42—611no—
916D42C2×D6111yescharacteristic
917#541—1221no—
918#541—1221no—
919#536—1221no—
920#533—611no—
921#533—611no—
922#533—611no—
923#533—611no—
924#533—611no—
925#532—611no—
926#532—611no—
927#532—611no—
928C2×C4⋊Q8—611no—
929#525—1221no—
930#525—1221no—
931#525—1221no—
932#519—1221no—
933C4×#41—611no—
934C2×C4×D4—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937#501—611no—
938#501—611no—
939#501—611no—
940#501—611no—
941#500—611no—
942#500—611no—
943#490—611no—
944#490—611no—
945#490—611no—
946#490C2×D6111yescharacteristic, complemented
947#486—611no—
948#486—611no—
949#484—611no—
950#484—611no—
951#484—611no—
952#484—611no—
953#483—611no—
954#483—611no—
955#482—611no—
956#482—611no—
957#482—611no—
958#482—611no—
959#482—611no—
960#482—611no—
961#482—611no—
962#482C2×D6111yescharacteristic, complemented
963#480—611no—
964#480—611no—
965#480—611no—
966#480C2×D6111yescharacteristic, complemented
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#478—611no—
972#478—611no—
973#478—611no—
974#478C2×D6111yescharacteristic
975#477—611no—
976#477—611no—
977#477—611no—
978#477—611no—
979#476—611no—
980#476—611no—
981#476—611no—
982#476—611no—
983#475—611no—
984#475—611no—
985#474—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468C2×D6111yescharacteristic, complemented
1005#465—611no—
1006#465—611no—
1007#465—611no—
1008#465C2×D6111yescharacteristic, complemented
1009#461—611no—
1010#461—611no—
1011#461—611no—
1012#461—611no—
1013#460—611no—
1014#460—611no—
1015#460—611no—
1016#460—611no—
1017#460—611no—
1018#460C2×D6111yescharacteristic, complemented
1019#450—611no—
1020#450—611no—
1021#450—611no—
1022#450—611no—
1023#450C2×D6111yescharacteristic
1024#450C2×D6111yescharacteristic
1025#446—611no—
1026#446—611no—
1027#440—611no—
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440—611no—
1032#440—611no—
1033#440—611no—
1034#440C2×D6111yescharacteristic
1035C4×SD16—611no—
1036C4×SD16—611no—
1037C4×SD16—611no—
1038C4×SD16—611no—
1039#436—611no—
1040#436—611no—
1041#435—611no—
1042#435—611no—
1043#435—611no—
1044#435C2×D6111yescharacteristic, complemented
1045#432—611no—
1046#432—611no—
1047#431—611no—
1048#428—611no—
1049#428—611no—
1050#428—611no—
1051#428—611no—
1052C2×#107—611no—
1053C2×#107—611no—
1054#423—611no—
1055#423—611no—
1056C2×C4⋊C8—611no—
1057#418—611no—
1058#418—611no—
1059#418—611no—
1060#418C2×D6111yescharacteristic
1061C2×#102—611no—
1062C2×#102C2×D6111yescharacteristic
1063C61#6210911yescharacteristic, complemented, Sylow
1064C2×#41—611no—
1065C2×#41—1221no—
1066C2×#41—1221no—
1067C2×#41—1221no—
1068C2×#41—1221no—
1069C2×#41—1221no—
1070C2×#41—1221no—
1071C2×#41—1221no—
1072C2×#41—2448no—
1073C22×Q8—1221no—
1074C22×Q8—1221no—
1075C22×D4—21no—
1076C22×D4—611no—
1077C22×D4—1221no—
1078C22×D4—1221no—
1079C22×D4C22×D6111yescharacteristic
1080C22×D4C22×D6111yescharacteristic
1081C23×C4—1221no—
1082C23×C4—1221no—
1083C23×C4—1221no—
1084C2×SD16—611no—
1085C2×SD16—611no—
1086C2×SD16—611no—
1087C2×SD16—611no—
1088C2×SD16—611no—
1089C2×SD16C22×D6111yescharacteristic
1090C2×SD16C22×D6111yescharacteristic
1091C2×SD16C22×D6111yescharacteristic
1092C2×M16—611no—
1093C2×M16—611no—
1094C2×M16—611no—
1095C2×M16C22×D6111yescharacteristic
1096C22×C8—611no—
1097C22×C8C22×D6111yescharacteristic
1098C4⋊Q8—611no—
1099C4⋊Q8—611no—
1100C4⋊Q8—611no—
1101C4⋊Q8—611no—
1102C4⋊Q8—611no—
1103C4⋊Q8—611no—
1104C4⋊Q8—611no—
1105C4⋊Q8—611no—
1106C4⋊Q8—611no—
1107C4⋊Q8—1221no—
1108C4⋊Q8—1221no—
1109C4⋊Q8—1221no—
1110C4⋊Q8—1221no—
1111#127—611no—
1112#127—611no—
1113#127C22×D6111yescharacteristic
1114#126—21no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#125—21no—
1123#125—611no—
1124#125—611no—
1125#125—611no—
1126#125—1221no—
1127#125—1221no—
1128#125—1221no—
1129#125—1221no—
1130#125—1221no—
1131#125—1221no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125C22×D6111yescharacteristic
1137#124—1221no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124—1221no—
1142#123—21no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152C22⋊Q8—611no—
1153C22⋊Q8—611no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8C22×D6111yescharacteristic
1170C22⋊Q8C22×D6111yescharacteristic
1171#121—21no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121C22×D6111yescharacteristic
1185#121C22×D6111yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—1221no—
1189#120—1221no—
1190#120—1221no—
1191#120—1221no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8—1221no—
1209C4×Q8—1221no—
1210C4×Q8C22×D6111yescharacteristic
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4C22×D6111yescharacteristic
1235C4×D4C22×D6111yescharacteristic
1236#117—21no—
1237#117—611no—
1238#117—611no—
1239#117—611no—
1240#117—611no—
1241#117—611no—
1242#117—611no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117C22×D6111yescharacteristic
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—1221no—
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4—1221no—
1257C2×C22⋊C4—1221no—
1258C2×C22⋊C4—1221no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107—611no—
1273#107—611no—
1274#107—611no—
1275#107—611no—
1276#107C22×D6111yescharacteristic
1277#107C22×D6111yescharacteristic
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106—611no—
1283#106—611no—
1284#106—611no—
1285#106C22×D6111yescharacteristic
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8C22×D6111yescharacteristic
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103C22×D6111yescharacteristic
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322#102C22×D6111yescharacteristic
1323#102C22×D6111yescharacteristic
1324#102C22×D6111yescharacteristic
1325#102C22×D6111yescharacteristic
1326#102C22×D6111yescharacteristic
1327#102C22×D6111yescharacteristic
1328C22⋊C8—611no—
1329C22⋊C8—611no—
1330C22⋊C8—611no—
1331C22⋊C8—611no—
1332C22⋊C8C22×D6111yescharacteristic
1333C22⋊C8C22×D6111yescharacteristic
1334#97—611no—
1335#97—611no—
1336#97—611no—
1337#97C22×D6111yescharacteristic
1338C4×C8—611no—
1339C4×C8—611no—
1340C24—21no—
1341C24—21no—
1342C24—1221no—
1343#41—1224no—
1344#41—2444no—
1345#41—2444no—
1346#41—2444no—
1347#41—2444no—
1348#41—2444no—
1349#41—2444no—
1350#41—2444no—
1351C2×Q8—611no—
1352C2×Q8—611no—
1353C2×Q8—1221no—
1354C2×Q8—1221no—
1355C2×Q8—1221no—
1356C2×Q8—1221no—
1357C2×Q8—1221no—
1358C2×Q8—1221no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—2444no—
1362C2×Q8—2444no—
1363C2×Q8C23×D6111yescharacteristic
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—44no—
1375C2×D4—611no—
1376C2×D4—611no—
1377C2×D4—611no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—1221no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1222no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—2441no—
1389C2×D4—2444no—
1390C2×D4—2444no—
1391C2×D4D4×D6111yescharacteristic
1392C2×D4C23×D6111yescharacteristic
1393C2×D4C23×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—2444no—
1418C22×C4—2444no—
1419C22×C4—2444no—
1420C22×C4C23×D6111yescharacteristic
1421C22×C4C23×D6111yescharacteristic
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—1222no—
1426SD16—2441no—
1427SD16—2441no—
1428SD16—2441no—
1429SD16—2441no—
1430M16—41no—
1431M16—2441no—
1432M16—2441no—
1433M16—2441no—
1434C2×C8—41no—
1435C2×C8—611no—
1436C2×C8—611no—
1437C2×C8—611no—
1438C2×C8—611no—
1439C2×C8—2441no—
1440C2×C8C23×D6111yescharacteristic
1441C2×C8C23×D6111yescharacteristic
1442C2×C8C23×D6111yescharacteristic
1443C2×C8C23×D6111yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
1452C4⋊C4—611no—
1453C4⋊C4—611no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4D4×D6111yescharacteristic
1491C4⋊C4C23×D6111yescharacteristic
1492C4⋊C4C23×D6111yescharacteristic
1493C4⋊C4C23×D6111yescharacteristic
1494C4⋊C4C23×D6111yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—611no—
1502C22⋊C4—611no—
1503C22⋊C4—611no—
1504C22⋊C4—611no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4D4×D6111yescharacteristic
1526C22⋊C4D4×D6111yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—611no—
1530C42—611no—
1531C42—611no—
1532C42—611no—
1533C42—611no—
1534C42—611no—
1535C42—611no—
1536C42—611no—
1537C42—611no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42—1221no—
1544C42—1221no—
1545C42—1221no—
1546C42C23×D6111yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—42no—
1551C23—42no—
1552C23—42no—
1553C23—42no—
1554C23—81no—
1555C23—81no—
1556C23—611no—
1557C23—1221no—
1558C23—4881no—
1559C23—2442no—
1560C23—2442no—
1561C23C2×D4×D6111yescharacteristic
1562C23C2×D4×D6111yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—1222no—
1566Q8—1221no—
1567Q8—1221no—
1568Q8—2442no—
1569Q8—2442no—
1570Q8—2442no—
1571Q8—2442no—
1572Q8—2442no—
1573Q8—2442no—
1574Q8—2442no—
1575Q8—2442no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—42no—
1587D4—81no—
1588D4—1222no—
1589D4—1222no—
1590D4—1221no—
1591D4—1221no—
1592D4—4881no—
1593D4—4881no—
1594D4—2442no—
1595D4—2442no—
1596D4—2442no—
1597D4—2442no—
1598D4—2442no—
1599D4—2442no—
1600D4—2442no—
1601D4#1451982412yes—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—614no—
1614C2×C4—611no—
1615C2×C4—611no—
1616C2×C4—611no—
1617C2×C4—611no—
1618C2×C4—611no—
1619C2×C4—611no—
1620C2×C4—611no—
1621C2×C4—1222no—
1622C2×C4—1222no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—2441no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2442no—
1639C2×C4—2442no—
1640C2×C4—2442no—
1641C2×C4—2441no—
1642C2×C4—2441no—
1643C2×C4—2442no—
1644C2×C4—2442no—
1645C2×C4—2442no—
1646C2×C4—2442no—
1647C2×C4—2442no—
1648C2×C4C2×D4×D6111yescharacteristic
1649C2×C4C2×D4×D6111yescharacteristic
1650C2×C4C2×D4×D6111yescharacteristic
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C24×D6111yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—1221no—
1658C8—1221no—
1659C8—1221no—
1660C8—1221no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—22no—
1665C22—21no—
1666C22—21no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—84no—
1676C22—84no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—4884no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22AGL(1,ℤ/8)×D6112yes—
1685C22C22×D4×D6111yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—612no—
1696C4—612no—
1697C4—1221no—
1698C4—1221no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4C2×#1451982411yescharacteristic
1710C4#1684059711yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—42no—
1714C2—81no—
1715C2—81no—
1716C2—4881no—
1717C2—2441no—
1718C2#2145949011yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1720C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3310C2
socleC22×C61C23×D4
prime radicalD4×#11758224C2
hypercenter#3310D61
hypocenterC61#62109
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458741C2semidirect
4. #21458735C2semidirect
5. #21458545C2semidirect
6. #21458543C2semidirect
7. #21458401C2semidirect
8. #21458398C2semidirect
9. #21458265C2semidirect
10. #21458263C2semidirect
11. #21458261C2semidirect
12. #21458259C2semidirect
13. #21458046C2semidirect
14. #21458043C2semidirect
15. #21457844C2semidirect
16. #21457840C2semidirect
17. #21457836C2semidirect
18. #21457204C2semidirect
19. #21457201C2semidirect
20. #21457130C2semidirect
21. #21457014C2semidirect
22. #21457012C2semidirect
23. #21456938C2semidirect
24. #21455916C2semidirect
25. #21455913C2semidirect
26. #21455822C2semidirect
27. #21455614C2semidirect
28. #21455613C2semidirect
29. C2×#16840040C2semidirect
30. #21454931C2semidirect
31. C61×#3310C2semidirect
34. #16840489C22semidirect
35. #16840488C22semidirect
36. #16840483C22semidirect
37. #16840480C22semidirect
39. #16840454C22semidirect
40. #16840452C22semidirect
42. #16840447C22semidirect
58. #16840318C22semidirect
59. #16840316C22semidirect
60. #16840315C22semidirect
61. #16840314C22semidirect
62. #16840314C22semidirect
66. C2×#14519776C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840166C22semidirect
80. #16840166C22semidirect
81. #16840126C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840099C22semidirect
87. #16840098C22semidirect
88. #16840096C22semidirect
89. #16840095C22semidirect
90. #16840093C22semidirect
91. #16840090C22semidirect
92. #16840087C22semidirect
93. #16840086C22semidirect
94. #16840085C22semidirect
95. #16840085C22semidirect
96. #16840084C22semidirect
97. #16840084C22semidirect
98. #16840083C22semidirect
99. #16840076C22semidirect
100. #16840075C22semidirect
101. #16840073C22semidirect
103. #16840064C22semidirect
104. #16840063C22semidirect
107. #16840060C22semidirect
108. #16840059C22semidirect
109. #16840058C22semidirect
110. #16840057C22semidirect
111. #16840056C22semidirect
112. #16840055C22semidirect
113. #16840051C22semidirect
115. #16840050C22semidirect
116. #16840050C22semidirect
117. #16840046C22semidirect
118. #16840045C22semidirect
119. #16840041C22semidirect
120. #16840041C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840040C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840010C22semidirect
132. #16840008C22semidirect
133. #16840007C22semidirect
134. #16840007C22semidirect
135. #16840006C22semidirect
136. #16840005C22semidirect
137. #16840005C22semidirect
138. #16839993C22semidirect
139. #16839991C22semidirect
140. #16839989C22semidirect
141. #16839966C22semidirect
143. #16839965C22semidirect
144. #16839965C22semidirect
145. #16839961C22semidirect
146. #16839961C22semidirect
147. #16839960C22semidirect
148. #16839960C22semidirect
149. #16839959C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839864C22semidirect
158. #16839863C22semidirect
160. #16839860C22semidirect
162. #16839859C22semidirect
164. #16839853C22semidirect
166. SD16×Dic61C22semidirect
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×#14519711C22semidirect
180. C2×#14519710C22semidirect
181. #16839785C22semidirect
182. #16839784C22semidirect
183. C2×#14519706C22semidirect
188. C61×#552C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
200. C61×#435C22semidirect
868. #3310D61semidirect
904. #552C2×D61semidirect
946. #490C2×D61semidirect
962. #482C2×D61semidirect
966. #480C2×D61semidirect
1004. #468C2×D61semidirect
1008. #465C2×D61semidirect
1018. #460C2×D61semidirect
1044. #435C2×D61semidirect
1063. C61#62109semidirect

Maximal subgroups

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

subgroupindex
#214596972
D4×#117582242
#214587412
#214587352
#214585452
#214585432
#214584012
#214583982
#214582652
#214582632
#214582612
#214582592
#214580462
#214580432
#214578442
#214578402
#214578362
#214572042
#214572012
#214571302
#214570142
#214570122
#214569382
#214559162
#214559132
#214558222
#214556142
#214556132
C2×#168400402
#214549312
C61×#33102
#6210961