Finite Group Databasebeta

← #30570682

Subgroups — #30570682

Order 15616.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460280C211yesmaximal, characteristic, complemented
2#21459621C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458774C211yesmaximal, characteristic, complemented
5#21458737C211yesmaximal, characteristic, complemented
6#21458721C211yesmaximal, characteristic, complemented
7#21458691C211yesmaximal, characteristic, complemented
8#21458685C211yesmaximal, characteristic, complemented
9#21458683C211yesmaximal, characteristic, complemented
10#21458669C211yesmaximal, characteristic, complemented
11#21458614C211yesmaximal, characteristic, complemented
12#21458579C211yesmaximal, characteristic, complemented
13#21458567C211yesmaximal, characteristic, complemented
14#21458523C211yesmaximal, characteristic, complemented
15#21458484C211yesmaximal, characteristic, complemented
16#21458482C211yesmaximal, characteristic, complemented
17#21458482C211yesmaximal, characteristic, complemented
18#21458451C211yesmaximal, characteristic, complemented
19#21457102C211yesmaximal, characteristic, complemented
20#21457098C211yesmaximal, characteristic, complemented
21#21457076C211yesmaximal, characteristic, complemented
22#21456995C211yesmaximal, characteristic, complemented
23#21456953C211yesmaximal, characteristic, complemented
24#21456058C211yesmaximal, characteristic, complemented
25#21456057C211yesmaximal, characteristic, complemented
26#21456005C211yesmaximal, characteristic, complemented
27#21455998C211yesmaximal, characteristic, complemented
28#21455863C211yesmaximal, characteristic, complemented
29#21455816C211yesmaximal, characteristic, complemented
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3241C211yesmaximal, characteristic, complemented
32#16840507—21no—
33#16840507—21no—
34#16840498C2211yescharacteristic, complemented
35#16840495C2211yescharacteristic, complemented
36#16840495C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840473—21no—
39#16840473C2211yescharacteristic
40#16840473C2211yescharacteristic
41#16840469C2211yescharacteristic, complemented
42#16840468—21no—
43#16840468—21no—
44#16840468C2211yescharacteristic
45#16840468C2211yescharacteristic
46#16840468C2211yescharacteristic
47#16840468C2211yescharacteristic
48#16840468C2211yescharacteristic, complemented
49#16840432C2211yescharacteristic, complemented
50D4×Dic122C2211yescharacteristic, complemented
51#16840427—21no—
52#16840427C2211yescharacteristic
53#16840427C2211yescharacteristic
54#16840418—21no—
55#16840412—21no—
56#16840393C2211yescharacteristic
57#16840387—21no—
58#16840387—21no—
59#16840383C2211yescharacteristic
60#16840380—21no—
61#16840379C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840356—21no—
64#16840355—21no—
65#16840334—21no—
66#16840315C2211yescharacteristic
67#16840315C2211yescharacteristic
68#16840307C2211yescharacteristic
69#16840293C2211yescharacteristic
70C22⋊Q8×D61—21no—
71C22⋊Q8×D61—21no—
72#16840236C2211yescharacteristic
73#16840236C2211yescharacteristic
74C2×#14519739C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840165C2211yescharacteristic, complemented
81#16840163C2211yescharacteristic, complemented
82#16840162C2211yescharacteristic, complemented
83#16840162C2211yescharacteristic, complemented
84#16840159C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840124C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840119C2211yescharacteristic, complemented
89#16840115C2211yescharacteristic, complemented
90#16840115C2211yescharacteristic, complemented
91#16840115C2211yescharacteristic, complemented
92#16840107C2211yescharacteristic, complemented
93#16840107C2211yescharacteristic, complemented
94#16840107C2211yescharacteristic, complemented
95#16840104C2211yescharacteristic
96#16840103C2211yescharacteristic
97#16840097C2211yescharacteristic
98#16840087C2211yescharacteristic
99#16840086C2211yescharacteristic
100#16840083C2211yescharacteristic
101#16840083C2211yescharacteristic
102#16840075C2211yescharacteristic
103#16840068C2211yescharacteristic, complemented
104#16840066C2211yescharacteristic, complemented
105#16840065C2211yescharacteristic
106#16840065C2211yescharacteristic, complemented
107#16840064C2211yescharacteristic, complemented
108#16840064C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic, complemented
110#16840061C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840061C2211yescharacteristic, complemented
114#16840061C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic
117#16840059C2211yescharacteristic
118#16840059C2211yescharacteristic, complemented
119#16840056C2211yescharacteristic, complemented
120#16840056C2211yescharacteristic, complemented
121#16840054C2211yescharacteristic, complemented
122#16840053C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840051C2211yescharacteristic, complemented
125#16840050C2211yescharacteristic, complemented
126#16840046C2211yescharacteristic, complemented
127#16840043C2211yescharacteristic
128#16840041C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840040C2211yescharacteristic, complemented
132#16840040C2211yescharacteristic, complemented
133#16840040C2211yescharacteristic, complemented
134#16840039C2211yescharacteristic, complemented
135#16839978C2211yescharacteristic
136#16839978C2211yescharacteristic
137#16839976C2211yescharacteristic
138#16839976C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839976C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839956C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839954C2211yescharacteristic
146#16839954C2211yescharacteristic
147#16839915C2211yescharacteristic
148#16839898C2211yescharacteristic
149#16839895C2211yescharacteristic
150#16839895C2211yescharacteristic
151#16839891C2211yescharacteristic, complemented
152#16839891C2211yescharacteristic, complemented
153#16839890C2211yescharacteristic, complemented
154#16839890C2211yescharacteristic, complemented
155C8×Dic122C2211yescharacteristic, complemented
156C8×Dic122C2211yescharacteristic, complemented
157#16839886C2211yescharacteristic, complemented
158#16839886C2211yescharacteristic, complemented
159#16839875C2211yescharacteristic
160#16839873C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839871C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839864C2211yescharacteristic
166#16839861C2211yescharacteristic
167C4×#11758190C2211yescharacteristic
168#16839849C2211yescharacteristic
169#16839849C2211yescharacteristic
170#16839849C2211yescharacteristic
171C4×D488C2211yescharacteristic
172#16839844C2211yescharacteristic
173#16839844C2211yescharacteristic
174#16839844C2211yescharacteristic
175C4×#11758199C2211yescharacteristic
176C4×#11758199C2211yescharacteristic
177#16839842C2211yescharacteristic
178#16839842C2211yescharacteristic
179#16839842C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#540C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#499C2211yescharacteristic, complemented
192C61×#490C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic, complemented
194C61×#482C2211yescharacteristic
195C61×#482C2211yescharacteristic
196C61×#481C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#478C2211yescharacteristic, complemented
199C61×#478C2211yescharacteristic, complemented
200C61×#476C2211yescharacteristic, complemented
201C61×#474C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Q8×D61—21no—
208C22×D244C2311yescharacteristic
209C22×C4×D61—21no—
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776D411yescharacteristic
222#14519776D411yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519770—21no—
233#14519770—21no—
234#14519768—21no—
235#14519768D411yescharacteristic
236#14519768D411yescharacteristic
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519767—21no—
244#14519767—21no—
245#14519765C2311yescharacteristic
246#14519764—21no—
247#14519764—21no—
248#14519764C2311yescharacteristic
249#14519764C2311yescharacteristic
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519761—21no—
255#14519760—21no—
256#14519760—21no—
257#14519759—21no—
258#14519759—21no—
259#14519759—21no—
260#14519759—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757—21no—
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756C2311yescharacteristic
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754D411yescharacteristic
300#14519754D411yescharacteristic
301#14519754D411yescharacteristic
302#14519754D411yescharacteristic
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519751C2311yescharacteristic
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519748—21no—
315#14519748—21no—
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326C4×D244—21no—
327C4×D244—21no—
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339#14519739—21no—
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355#14519737—21no—
356#14519736C2311yescharacteristic
357#14519736C2311yescharacteristic
358#14519733—21no—
359C2×C4⋊Dic61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C2×#11758198—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519700C2311yescharacteristic
402#14519700C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428C4×#92418C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#127×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×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
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61C2×D411yescharacteristic
501C22×Dic61C2×D411yescharacteristic
502Q8×D61—82no—
503Q8×D61—82no—
504#11758224—82no—
505#11758224—82no—
506C2×D244—21no—
507C2×D244—22no—
508C2×D244—22no—
509C2×D244C2411yescharacteristic
510C2×D244C2411yescharacteristic
511C2×D244C2411yescharacteristic
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—82no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—82no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C42×C61—21no—
570C42×C61C2411yescharacteristic
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758199—22no—
585#11758199—22no—
586#11758199—22no—
587#11758199—22no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661D488—22no—
662D488—22no—
663#11758190—22no—
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61C22×D411yescharacteristic
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—24no—
671C22×D61—21no—
672C22×D61—81no—
673C22×D61—81no—
674Q8×C61—81no—
675Q8×C61—81no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—81no—
681D4×C61—81no—
682D4×C61—81no—
683D4×C61—81no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—81no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C2511yescharacteristic
701C22⋊D61—42no—
702C22⋊D61—81no—
703C22⋊D61—81no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C2×Dic61—22no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—41no—
713C2×Dic61—42no—
714C2×Dic61—81no—
715C2×Dic61—81no—
716C2×Dic61—81no—
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725D244—24no—
726D244—21no—
727D244—21no—
728D244—21no—
729D244—21no—
730D2442−1+412yes—
731D2442−1+412yes—
732C4×D61—42no—
733C4×D61—42no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61—81no—
738C4×D61—81no—
739C4×D61—81no—
740C4×D61—81no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747Dic122—22no—
748Dic122—22no—
749Dic122—21no—
750Dic122—21no—
751Dic122—41no—
752Dic122—41no—
753Dic122—42no—
754Dic122—42no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61863—611nomaximal, Sylow
769C22×C61—21no—
770C22×C61—21no—
771C22×C61—21no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61C23×D411yescharacteristic
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—84no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61C2×2−1+411yescharacteristic
801C4×C61C2×2−1+411yescharacteristic
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61#57612yes—
815#3554—611no—
816#3501—611no—
817#3389—611no—
818#3389—611no—
819#3386—611no—
820#3384—611no—
821#3381—611no—
822#3380—611no—
823#3380—611no—
824Q8×D8—611no—
825#3373—611no—
826#3370—611no—
827#3370—611no—
828#3366—611no—
829#3361—611no—
830#3361—611no—
831#3361—611no—
832#3358—611no—
833#3243—611no—
834#3243—611no—
835#3241—611no—
836#3241D6111yescharacteristic, complemented
837#3233—611no—
838#3228—611no—
839#3122—611no—
840#3122—611no—
841#3118—611no—
842#3118—611no—
843#3105—611no—
844#3100—611no—
845#2986—611no—
846C2×C61—41no—
847C2×C61—81no—
848C2×C61—81no—
849C2×C61#348611yescharacteristic
850C2×C61C2×#57611yescharacteristic
851C2×C61#358411yescharacteristic
852D61—42no—
853D61—42no—
854D61—81no—
855#562—1221no—
856#562—1221no—
857#559—611no—
858#559—611no—
859#559—611no—
860#557—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—611no—
869#554—1221no—
870#554—1221no—
871#554—1221no—
872#550—611no—
873D4×Q8—611no—
874D4×Q8—611no—
875D4×Q8—611no—
876D4×Q8—1221no—
877#548—1221no—
878#547—1221no—
879#544—611no—
880#544C2×D6111yescharacteristic
881#543—1221no—
882#543—1221no—
883#542—611no—
884#542—611no—
885#542—1221no—
886#540—611no—
887#540C2×D6111yescharacteristic
888#539—1221no—
889#539—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#532—611no—
894#529—611no—
895C2×C22⋊Q8—1221no—
896C2×C22⋊Q8—1221no—
897#518—611no—
898#518—611no—
899C2×C4×D4—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501C2×D6111yescharacteristic, complemented
904#500—611no—
905#500—611no—
906#500—611no—
907#499—611no—
908#499—611no—
909#499—611no—
910#499C2×D6111yescharacteristic, complemented
911#498—611no—
912#490—611no—
913#490C2×D6111yescharacteristic, complemented
914#489—611no—
915#489—611no—
916#488—611no—
917#488—611no—
918#488—611no—
919#488—611no—
920#486—611no—
921#486—611no—
922#486—611no—
923#486C2×D6111yescharacteristic, complemented
924#485—611no—
925#485—611no—
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482C2×D6111yescharacteristic
932#482C2×D6111yescharacteristic
933#481C2×D6111yescharacteristic
934#480—611no—
935#480C2×D6111yescharacteristic
936#479—611no—
937#479—611no—
938#478—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478C2×D6111yescharacteristic, complemented
953#478C2×D6111yescharacteristic, complemented
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic, complemented
962#475—611no—
963#474—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474C2×D6111yescharacteristic, complemented
972#463—611no—
973#463—611no—
974#463—611no—
975#463—611no—
976#463—611no—
977#463—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#459—611no—
984#450—611no—
985#447—611no—
986#447—611no—
987#447—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992C8×Q8—611no—
993C8×Q8—611no—
994C8×Q8—611no—
995C8×Q8—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#440—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×D8—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012C4×D8—611no—
1013C4×D8—611no—
1014C4×D8—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019C4×D8—611no—
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#433C2×D6111yescharacteristic
1024#431—611no—
1025#431—611no—
1026C61#6186311yescharacteristic, complemented, Sylow
1027C2×#41—1221no—
1028C2×#41—1221no—
1029C22×Q8—1221no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032C22×D4—611no—
1033C23×C4—1221no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×D8—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8—611no—
1041C2×D8—611no—
1042C4⋊Q8—21no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—611no—
1049C4⋊Q8—611no—
1050C4⋊Q8—611no—
1051C4⋊Q8—611no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8C22×D6111yescharacteristic
1055C4⋊Q8C22×D6111yescharacteristic
1056#127—611no—
1057#127—611no—
1058#127C22×D6111yescharacteristic
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#125—21no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#124—611no—
1078#124—611no—
1079#124—611no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#123—21no—
1087#123—21no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145#121—21no—
1146#121—21no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198#117—611no—
1199#117—611no—
1200#117—1221no—
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4—1221no—
1213C2×C22⋊C4—1221no—
1214C2×C22⋊C4—1221no—
1215C2×C22⋊C4—1221no—
1216C2×C22⋊C4—1221no—
1217C2×C42—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#107C22×D6111yescharacteristic
1229#107C22×D6111yescharacteristic
1230#107C22×D6111yescharacteristic
1231#107C22×D6111yescharacteristic
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241#106C22×D6111yescharacteristic
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8C22×D6111yescharacteristic
1253C4⋊C8C22×D6111yescharacteristic
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8C22×D6111yescharacteristic
1289C22⋊C8C22×D6111yescharacteristic
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97C22×D6111yescharacteristic
1294C4×C8—611no—
1295C4×C8—611no—
1296C4×C8—611no—
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8C22×D6111yescharacteristic
1302C24—1221no—
1303#41—4882no—
1304#41—4882no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—611no—
1308C2×Q8—611no—
1309C2×Q8—611no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—1221no—
1313C2×Q8—1221no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—4882no—
1320C2×Q8—4882no—
1321C2×Q8—4882no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—611no—
1327C2×D4—611no—
1328C2×D4—611no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4C23×D6111yescharacteristic
1338C2×D4C23×D6111yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—611no—
1343C22×C4—611no—
1344C22×C4—1221no—
1345C22×C4—1221no—
1346C22×C4—1221no—
1347C22×C4—1221no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—4882no—
1364C22×C4C23×D6111yescharacteristic
1365SD16—1222no—
1366SD16—1222no—
1367D8—1222no—
1368D8—1222no—
1369D8—1222no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373C2×C8—611no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8C23×D6111yescharacteristic
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4D4×D6111yescharacteristic
1432C4⋊C4D4×D6111yescharacteristic
1433C4⋊C4C23×D6111yescharacteristic
1434C4⋊C4C23×D6111yescharacteristic
1435C4⋊C4C23×D6111yescharacteristic
1436C4⋊C4C23×D6111yescharacteristic
1437C4⋊C4C23×D6111yescharacteristic
1438C4⋊C4C23×D6111yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—611no—
1445C22⋊C4—611no—
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—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4D4×D6111yescharacteristic
1475C22⋊C4D4×D6111yescharacteristic
1476C42—21no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42C23×D6111yescharacteristic
1488C42C23×D6111yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—1224no—
1492C23—1221no—
1493C23—1221no—
1494C23—1221no—
1495C23—4881no—
1496C23—4881no—
1497C23C2×D4×D6111yescharacteristic
1498Q8—81no—
1499Q8—81no—
1500Q8—1222no—
1501Q8—1222no—
1502Q8—1221no—
1503Q8—1221no—
1504Q8—4881no—
1505Q8—4881no—
1506Q8—4881no—
1507Q8—4881no—
1508Q8—4881no—
1509Q8—2441no—
1510Q8—2441no—
1511Q8—2442no—
1512Q8—2442no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—81no—
1518D4—81no—
1519D4—81no—
1520D4—81no—
1521D4—612no—
1522D4—612no—
1523D4—1224no—
1524D4—1221no—
1525D4—1221no—
1526D4—1221no—
1527D4—1221no—
1528D4—4881no—
1529D4—4881no—
1530D4—4881no—
1531D4—4881no—
1532D4—2442no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—611no—
1552C2×C4—1222no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—4881no—
1559C2×C4—4881no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—4881no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4—2441no—
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C24×D6111yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8—1221no—
1592C22—21no—
1593C22—21no—
1594C22—21no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—1222no—
1602C22—1222no—
1603C22—4884no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22C22×D4×D6111yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—612no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—1221no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4—2441no—
1635C4—2441no—
1636C42−1+4×D6111yescharacteristic
1637C42−1+4×D6111yescharacteristic
1638C2—41no—
1639C2—81no—
1640C2—81no—
1641C2—4881no—
1642C2—2442no—
1643C2—2442no—
1644C2#2145946811yescharacteristic
1645C2#576×D6111yescharacteristic
1646C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3241C2
socleC22×C61C23×D4
hypercenter#3241D61
hypocenterC61#61863
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #21460280C2semidirect
2. #21459621C2semidirect
3. #21458776C2semidirect
4. #21458774C2semidirect
5. #21458737C2semidirect
6. #21458721C2semidirect
7. #21458691C2semidirect
8. #21458685C2semidirect
9. #21458683C2semidirect
10. #21458669C2semidirect
11. #21458614C2semidirect
12. #21458579C2semidirect
13. #21458567C2semidirect
14. #21458523C2semidirect
15. #21458484C2semidirect
16. #21458482C2semidirect
17. #21458482C2semidirect
18. #21458451C2semidirect
19. #21457102C2semidirect
20. #21457098C2semidirect
21. #21457076C2semidirect
22. #21456995C2semidirect
23. #21456953C2semidirect
24. #21456058C2semidirect
25. #21456057C2semidirect
26. #21456005C2semidirect
27. #21455998C2semidirect
28. #21455863C2semidirect
29. #21455816C2semidirect
30. #21454918C2semidirect
31. C61×#3241C2semidirect
34. #16840498C22semidirect
35. #16840495C22semidirect
36. #16840495C22semidirect
37. #16840489C22semidirect
41. #16840469C22semidirect
48. #16840468C22semidirect
49. #16840432C22semidirect
50. D4×Dic122C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840166C22semidirect
79. #16840166C22semidirect
80. #16840165C22semidirect
81. #16840163C22semidirect
82. #16840162C22semidirect
83. #16840162C22semidirect
84. #16840159C22semidirect
85. #16840125C22semidirect
86. #16840124C22semidirect
87. #16840120C22semidirect
88. #16840119C22semidirect
89. #16840115C22semidirect
90. #16840115C22semidirect
91. #16840115C22semidirect
92. #16840107C22semidirect
93. #16840107C22semidirect
94. #16840107C22semidirect
103. #16840068C22semidirect
104. #16840066C22semidirect
106. #16840065C22semidirect
107. #16840064C22semidirect
108. #16840064C22semidirect
109. #16840064C22semidirect
113. #16840061C22semidirect
114. #16840061C22semidirect
115. #16840060C22semidirect
118. #16840059C22semidirect
119. #16840056C22semidirect
120. #16840056C22semidirect
121. #16840054C22semidirect
124. #16840051C22semidirect
125. #16840050C22semidirect
126. #16840046C22semidirect
131. #16840040C22semidirect
132. #16840040C22semidirect
133. #16840040C22semidirect
134. #16840039C22semidirect
151. #16839891C22semidirect
152. #16839891C22semidirect
153. #16839890C22semidirect
154. #16839890C22semidirect
155. C8×Dic122C22semidirect
156. C8×Dic122C22semidirect
157. #16839886C22semidirect
158. #16839886C22semidirect
190. C61×#501C22semidirect
191. C61×#499C22semidirect
192. C61×#490C22semidirect
193. C61×#486C22semidirect
198. C61×#478C22semidirect
199. C61×#478C22semidirect
200. C61×#476C22semidirect
201. C61×#474C22semidirect
836. #3241D61semidirect
903. #501C2×D61semidirect
910. #499C2×D61semidirect
913. #490C2×D61semidirect
923. #486C2×D61semidirect
952. #478C2×D61semidirect
953. #478C2×D61semidirect
961. #476C2×D61semidirect
971. #474C2×D61semidirect
1026. C61#61863semidirect

Maximal subgroups

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

subgroupindex
#214602802
#214596212
#214587762
#214587742
#214587372
#214587212
#214586912
#214586852
#214586832
#214586692
#214586142
#214585792
#214585672
#214585232
#214584842
#214584822
#214584512
#214571022
#214570982
#214570762
#214569952
#214569532
#214560582
#214560572
#214560052
#214559982
#214558632
#214558162
#214549182
C61×#32412
#6186361