Finite Group Databasebeta

← #30560748

Subgroups — #30560748

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459618C211yesmaximal, characteristic, complemented
2#21459616C211yesmaximal, characteristic, complemented
3#21458780C211yesmaximal, characteristic, complemented
4#21458778C211yesmaximal, characteristic, complemented
5#21458777C211yesmaximal, characteristic, complemented
6#21458776C211yesmaximal, characteristic, complemented
7#21458774C211yesmaximal, characteristic, complemented
8#21458773C211yesmaximal, characteristic, complemented
9#21458772C211yesmaximal, characteristic, complemented
10#21458722C211yesmaximal, characteristic, complemented
11#21458721C211yesmaximal, characteristic, complemented
12#21458721C211yesmaximal, characteristic, complemented
13#21458720C211yesmaximal, characteristic, complemented
14#21458719C211yesmaximal, characteristic, complemented
15#21458718C211yesmaximal, characteristic, complemented
16#21458716C211yesmaximal, characteristic, complemented
17#21458715C211yesmaximal, characteristic, complemented
18#21456348C211yesmaximal, characteristic, complemented
19#21456346C211yesmaximal, characteristic, complemented
20#21456340C211yesmaximal, characteristic, complemented
21#21455649C211yesmaximal, characteristic, complemented
22#21455649C211yesmaximal, characteristic, complemented
23#21455647C211yesmaximal, characteristic, complemented
24#21455643C211yesmaximal, characteristic, complemented
25#21455614C211yesmaximal, characteristic, complemented
26#21455611C211yesmaximal, characteristic, complemented
27#21454755C211yesmaximal, characteristic, complemented
28#21454668C211yesmaximal, characteristic
29#21454666C211yesmaximal, characteristic
30#442×D61C211yesmaximal, characteristic
31C61×#3389C211yesmaximal, characteristic, complemented
32C2×D8×D61C2211yescharacteristic
33#16840473C2211yescharacteristic, complemented
34#16840472C2211yescharacteristic, complemented
35#16840471C2211yescharacteristic, complemented
36#16840471C2211yescharacteristic, complemented
37#16840470—21no—
38#16840470—21no—
39#16840469C2211yescharacteristic, complemented
40#16840469C2211yescharacteristic, complemented
41#16840468C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic, complemented
43#16840468C2211yescharacteristic, complemented
44#16840468C2211yescharacteristic, complemented
45#16840467—21no—
46#16840467—21no—
47#16840466—21no—
48#16840466—21no—
49Q8×D244C2211yescharacteristic, complemented
50D4×Dic122C2211yescharacteristic, complemented
51D4×Dic122C2211yescharacteristic, complemented
52#16840427C2211yescharacteristic, complemented
53#16840425—21no—
54#16840425—21no—
55#16840392C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840392C2211yescharacteristic
58#16840389C2211yescharacteristic
59#16840387—21no—
60#16840387—21no—
61#16840387—21no—
62#16840387—21no—
63#16840318C2211yescharacteristic
64#16840317C2211yescharacteristic
65#16840316C2211yescharacteristic
66C2×#14519757—21no—
67C2×#14519755—21no—
68C22⋊Q8×D61—21no—
69C22⋊Q8×D61—21no—
70#16840234C2211yescharacteristic
71#16840234C2211yescharacteristic
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75C4×D4×D61C2211yescharacteristic
76#16840172C2211yescharacteristic, complemented
77#16840172C2211yescharacteristic, complemented
78#16840172C2211yescharacteristic, complemented
79#16840171C2211yescharacteristic, complemented
80#16840171C2211yescharacteristic, complemented
81#16840170C2211yescharacteristic, complemented
82#16840170C2211yescharacteristic, complemented
83#16840170C2211yescharacteristic, complemented
84#16840170C2211yescharacteristic, complemented
85#16840170C2211yescharacteristic, complemented
86#16840169C2211yescharacteristic, complemented
87#16840169C2211yescharacteristic, complemented
88#16840169C2211yescharacteristic, complemented
89#16840168C2211yescharacteristic, complemented
90#16840163C2211yescharacteristic, complemented
91#16840162C2211yescharacteristic, complemented
92#16840161C2211yescharacteristic, complemented
93#16840160C2211yescharacteristic, complemented
94#16840159C2211yescharacteristic, complemented
95#16840159C2211yescharacteristic, complemented
96#16840158C2211yescharacteristic, complemented
97#16840065C2211yescharacteristic, complemented
98#16840065C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840064C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic, complemented
108#16840062C2211yescharacteristic, complemented
109#16840061C2211yescharacteristic, complemented
110#16840061C2211yescharacteristic, complemented
111#16840060C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic, complemented
113#16840059C2211yescharacteristic, complemented
114#16840059C2211yescharacteristic, complemented
115#16840059C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic, complemented
117#16840053C2211yescharacteristic, complemented
118#16840053C2211yescharacteristic, complemented
119#16840053C2211yescharacteristic, complemented
120#16840052C2211yescharacteristic, complemented
121#16840052C2211yescharacteristic, complemented
122#16840051C2211yescharacteristic, complemented
123#16840051C2211yescharacteristic, complemented
124#16840050C2211yescharacteristic, complemented
125#16840050C2211yescharacteristic, complemented
126#16840050C2211yescharacteristic, complemented
127#16840050C2211yescharacteristic, complemented
128#16840049C2211yescharacteristic, complemented
129#16840043C2211yescharacteristic, complemented
130#16840042C2211yescharacteristic, complemented
131#16840042C2211yescharacteristic, complemented
132#16840041C2211yescharacteristic, complemented
133#16840041C2211yescharacteristic, complemented
134#16840041C2211yescharacteristic, complemented
135#16840041C2211yescharacteristic, complemented
136#16840040C2211yescharacteristic, complemented
137#16840040C2211yescharacteristic, complemented
138#16840039C2211yescharacteristic, complemented
139#16839893C2211yescharacteristic, complemented
140#16839892C2211yescharacteristic, complemented
141#16839891C2211yescharacteristic, complemented
142#16839891C2211yescharacteristic, complemented
143#16839890C2211yescharacteristic, complemented
144#16839890C2211yescharacteristic, complemented
145#16839889C2211yescharacteristic, complemented
146#16839875C2211yescharacteristic
147#16839875C2211yescharacteristic
148#16839874C2211yescharacteristic
149#16839874C2211yescharacteristic
150#16839873C2211yescharacteristic
151#16839873C2211yescharacteristic
152#16839872C2211yescharacteristic
153#16839872C2211yescharacteristic
154#16839872C2211yescharacteristic
155#16839872C2211yescharacteristic
156#16839871C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839871C2211yescharacteristic
159#16839871C2211yescharacteristic
160C4×D488C2211yescharacteristic
161D8×Dic61C2211yescharacteristic
162#16839844C2211yescharacteristic
163C4×#11758199C2211yescharacteristic
164C4×#11758199C2211yescharacteristic
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839803C2211yescharacteristic
168#16839803C2211yescharacteristic
169#16839803C2211yescharacteristic
170#16839801C2211yescharacteristic
171#16839799C2211yescharacteristic
172#16839799C2211yescharacteristic
173#16839797C2211yescharacteristic
174#16839797C2211yescharacteristic
175#106×D61C2211yescharacteristic
176#16839787C2211yescharacteristic
177#16839787C2211yescharacteristic
178#16839784C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839765C2211yescharacteristic
181#16839765C2211yescharacteristic
182#16839765C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic, complemented
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic, complemented
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C22×Dic122—21no—
204C22×Dic122—21no—
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×D488C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214D8×D61Q818yescomplemented
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776D411yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519775—21no—
234#14519775D411yescharacteristic
235#14519769C2311yescharacteristic
236#14519769C2311yescharacteristic
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519767—21no—
244#14519767—21no—
245#14519767—21no—
246#14519767—21no—
247#14519767D411yescharacteristic
248#14519767D411yescharacteristic
249#14519757—21no—
250#14519757—21no—
251#14519757—21no—
252#14519757—21no—
253#14519757—21no—
254#14519757—21no—
255#14519757—21no—
256#14519757—21no—
257#14519757—21no—
258#14519757—21no—
259#14519757—21no—
260#14519757—21no—
261#14519757D411yescharacteristic
262#14519756—21no—
263#14519756—21no—
264#14519756—21no—
265#14519756—21no—
266#14519756—21no—
267#14519756—21no—
268#14519755—21no—
269#14519755—21no—
270#14519755—21no—
271#14519755—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
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#14519755D411yescharacteristic
287#14519755D411yescharacteristic
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519753—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753D411yescharacteristic
307Q8×Dic61—21no—
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314C4×D244C2311yescharacteristic
315C4×D244C2311yescharacteristic
316C4×D244C2311yescharacteristic
317C4×D244C2311yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320D4×Dic61C2311yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519734C2311yescharacteristic
349#14519734C2311yescharacteristic
350C2×C4⋊Dic61—21no—
351C2×C4⋊Dic61—21no—
352C2×#11758196—21no—
353C2×#11758196—21no—
354C4⋊C4×D61—21no—
355C4⋊C4×D61—21no—
356C4⋊C4×D61—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61C2311yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C2×#11758198—21no—
363C2×#11758198—21no—
364C2×#11758198—21no—
365C2×#11758198—21no—
366C22⋊C4×D61—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519688C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×D8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457C2×C4⋊C4×C61—21no—
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C23×D61—21no—
480C23×D61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500Q8×D61—82no—
501Q8×D61—82no—
502D4×D61—22no—
503D4×D61—22no—
504D4×D61C2×Q814yescomplemented
505D4×D61C2×Q814yescomplemented
506C2×D244C2411yescharacteristic
507C2×D244C2411yescharacteristic
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
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—82no—
523C2×C4×D61—82no—
524C2×C4×D61C2×D411yescharacteristic
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2411yescharacteristic
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—82no—
538C2×Dic122—82no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2×D411yescharacteristic
542D8×C61C2×Q814yescomplemented
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
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×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581#11758199C2×Q814yescomplemented
582#11758199C2×Q814yescomplemented
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
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#11758198C2×D411yescharacteristic
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—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⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622#11758196—21no—
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#11758196—21no—
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663D488C2×Q814yescomplemented
664#11758189—22no—
665#11758189—22no—
666C8×D61—22no—
667C8×D61C2×Q814yescomplemented
668C23×C61—21no—
669C23×C61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—24no—
673C22×D61—24no—
674C22×D61—81no—
675C22×D61—81no—
676C22×D61—81no—
677C22×D61—81no—
678C22×D61C22×D411yescharacteristic
679Q8×C61—41no—
680Q8×C61—81no—
681Q8×C61—81no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61C22×Q812yes—
685D4×C61C22×Q812yes—
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—42no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C2511yescharacteristic
705C22⋊D61—24no—
706C22⋊D61—24no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—42no—
714C2×Dic61—81no—
715C2×Dic61—81no—
716C2×Dic61—81no—
717C2×Dic61—81no—
718C2×Dic61—81no—
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726D244—21no—
727D244—21no—
728D244C22×Q812yes—
729D244C22×Q812yes—
730C4×D61—41no—
731C4×D61—41no—
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×D61C22×Q812yes—
747C4×D612−1+412yes—
748Dic122—41no—
749Dic122—41no—
750Dic122—41no—
751Dic122—42no—
752Dic122—42no—
753Dic122—81no—
754Dic122—81no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
760Dic122—81no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764C8×C61C22×Q812yes—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#92418C22×Q812yes—
769#61378—611nomaximal, Sylow
770C22×C61—22no—
771C22×C61—22no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61C23×D411yescharacteristic
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—84no—
786C2×D61—84no—
787C2×D61D4×Q812yes—
788C4×C61—21no—
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×C61C23×Q811yescharacteristic
801C4×C61C2×2−1+411yescharacteristic
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61D4×Q812yes—
815#3501—611no—
816#3501—611no—
817#3389—611no—
818#3389—611no—
819#3389—611no—
820#3389—611no—
821#3389—611no—
822#3389—611no—
823#3389—611no—
824#3389D6111yescharacteristic, complemented
825#3384—611no—
826#3384—611no—
827#3384—611no—
828#3384—611no—
829#3384—611no—
830#3384—611no—
831#3384—611no—
832#3384—611no—
833#3163—611no—
834#3163—611no—
835#3162—611no—
836#3081—611no—
837#3081—611no—
838#3081—611no—
839#3081—611no—
840#3077—611no—
841#3077—611no—
842#2961—611no—
843#2948—611no—
844#2948—611no—
845C2×#442—611no—
846C2×C61—42no—
847C2×C61—42no—
848C2×C61C2×D4×Q811yescharacteristic
849C2×C61#358511yescharacteristic
850C2×C61#358511yescharacteristic
851D61—22no—
852D61—42no—
853D61—42no—
854C22×D8—611no—
855#554—611no—
856#554—611no—
857#554—611no—
858#554—611no—
859#554—611no—
860#554—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—1221no—
866#554—1221no—
867#554—1221no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554C2×D6111yescharacteristic, complemented
872#554C2×D6111yescharacteristic, complemented
873D4×Q8—611no—
874D4×Q8—611no—
875D4×Q8—611no—
876D4×Q8—611no—
877D4×Q8—1221no—
878D4×Q8—1221no—
879#544—611no—
880#544—611no—
881#544—611no—
882#544—611no—
883#543—1221no—
884#543—1221no—
885#543—1221no—
886#543—1221no—
887#533—611no—
888#533—611no—
889#533—611no—
890C2×C22⋊Q8—1221no—
891C2×C22⋊Q8—1221no—
892C2×C22⋊Q8—1221no—
893C2×C22⋊Q8—1221no—
894#518—611no—
895#518—611no—
896#518—611no—
897#518—611no—
898C2×C4×D4—611no—
899C2×C4×D4—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501—611no—
907#501—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#501—611no—
913#501—611no—
914#501C2×D6111yescharacteristic, complemented
915#501C2×D6111yescharacteristic, complemented
916#499—611no—
917#499—611no—
918#499—611no—
919#499C2×D6111yescharacteristic, complemented
920#498—611no—
921#498—611no—
922#498—611no—
923#498—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478—611no—
928#478—611no—
929#478—611no—
930#478—611no—
931#478—611no—
932#478—611no—
933#478—611no—
934#478—611no—
935#478—611no—
936#478—611no—
937#478—611no—
938#478—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478C2×D6111yescharacteristic, complemented
945#478C2×D6111yescharacteristic, complemented
946#478C2×D6111yescharacteristic, complemented
947#478C2×D6111yescharacteristic, complemented
948#476—611no—
949#476—611no—
950#476—611no—
951#476—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#474—611no—
961#474—611no—
962#474—611no—
963#474—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474C2×D6111yescharacteristic, complemented
971#474C2×D6111yescharacteristic, complemented
972#446—611no—
973#446—611no—
974#446—611no—
975#446—611no—
976#446—611no—
977#446—611no—
978#446—611no—
979#446C2×D6111yescharacteristic, complemented
980#442—611no—
981#442—611no—
982#442—611no—
983#442—611no—
984#442—611no—
985#442—611no—
986#442—611no—
987#442—611no—
988#442—611no—
989#442—611no—
990#442—611no—
991#442—611no—
992#442—611no—
993#442—611no—
994#442C2×D6111yescharacteristic
995#442C2×D6111yescharacteristic
996C4×D8—611no—
997C4×D8—611no—
998C4×D8—611no—
999C4×D8—611no—
1000C4×D8—611no—
1001C4×D8—611no—
1002C4×D8—611no—
1003C4×D8C2×D6111yescharacteristic
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#428—611no—
1008#427—611no—
1009#427—611no—
1010#427—611no—
1011#427—611no—
1012C2×#106—611no—
1013#424—611no—
1014#424—611no—
1015#423—611no—
1016#418—611no—
1017#418—611no—
1018#418—611no—
1019#418—611no—
1020C2×#102—611no—
1021C2×#102—611no—
1022#405—611no—
1023#405—611no—
1024C2×#97—611no—
1025C61#6137811yescharacteristic, complemented, Sylow
1026C22×Q8—1221no—
1027C22×Q8—1221no—
1028C22×Q8—1221no—
1029C22×Q8—1221no—
1030C22×D4—611no—
1031C22×D4—611no—
1032C23×C4—1221no—
1033C23×C4—1221no—
1034C2×D8—611no—
1035C2×D8—611no—
1036C2×D8—618no—
1037C2×D8—611no—
1038C2×D8C22×D6111yescharacteristic
1039C2×M16—611no—
1040C2×M16—611no—
1041C22×C8—611no—
1042C22×C8—611no—
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—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—1221no—
1056C4⋊Q8—1221no—
1057C4⋊Q8—1221no—
1058C4⋊Q8—1221no—
1059C4⋊Q8C22×D6111yescharacteristic
1060C4⋊Q8C22×D6111yescharacteristic
1061#125—611no—
1062#125—611no—
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#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#125C22×D6111yescharacteristic
1078#125C22×D6111yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—611no—
1086C22⋊Q8—611no—
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—1221no—
1090C22⋊Q8—1221no—
1091C22⋊Q8—1221no—
1092C22⋊Q8—1221no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
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—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4C22×D6111yescharacteristic
1182C4×D4C22×D6111yescharacteristic
1183C4×D4C22×D6111yescharacteristic
1184C4×D4C22×D6111yescharacteristic
1185C4×D4C22×D6111yescharacteristic
1186C4×D4C22×D6111yescharacteristic
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—1221no—
1198C2×C4⋊C4—1221no—
1199C2×C4⋊C4—1221no—
1200C2×C4⋊C4—1221no—
1201C2×C4⋊C4—1221no—
1202C2×C4⋊C4—1221no—
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C22⋊C4—1221no—
1208C2×C22⋊C4—1221no—
1209C2×C22⋊C4—1221no—
1210C2×C22⋊C4—1221no—
1211C2×C22⋊C4—1221no—
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#107—611no—
1229#107C22×D6111yescharacteristic
1230#107C22×D6111yescharacteristic
1231#107C22×D6111yescharacteristic
1232#107C22×D6111yescharacteristic
1233#107C22×D6111yescharacteristic
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106C22×D6111yescharacteristic
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
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#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286#102C22×D6111yescharacteristic
1287#102C22×D6111yescharacteristic
1288#102C22×D6111yescharacteristic
1289#102C22×D6111yescharacteristic
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97—611no—
1296#97C22×D6111yescharacteristic
1297#97C22×D6111yescharacteristic
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8C22×D6111yescharacteristic
1302C24—1221no—
1303C24—1221no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—611no—
1307C2×Q8—611no—
1308C2×Q8—611no—
1309C2×Q8—1221no—
1310C2×Q8—1221no—
1311C2×Q8—1221no—
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×Q8—4882no—
1323C2×Q8D4×D6111yescharacteristic
1324C2×D4—614no—
1325C2×D4—614no—
1326C2×D4—611no—
1327C2×D4—611no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4C23×D6111yescharacteristic
1333C2×D4C23×D6111yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—611no—
1341C22×C4—611no—
1342C22×C4—611no—
1343C22×C4—1221no—
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×C4—4882no—
1365D8—614no—
1366D8—614no—
1367D8—614no—
1368D8Q8×D6114yescomplemented
1369M16—1222no—
1370M16—1222no—
1371C2×C8—611no—
1372C2×C8—614no—
1373C2×C8—611no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—1222no—
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—21no—
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—611no—
1409C4⋊C4—611no—
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⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4D4×D6111yescharacteristic
1439C4⋊C4D4×D6111yescharacteristic
1440C4⋊C4D4×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
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⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42—1221no—
1488C42C23×D6111yescharacteristic
1489C42C23×D6111yescharacteristic
1490C42C23×D6111yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—611no—
1494C23—1224no—
1495C23—1224no—
1496C23—1221no—
1497C23—1221no—
1498C23—4881no—
1499C23—4881no—
1500C23—4881no—
1501C23—4881no—
1502Q8—41no—
1503Q8—81no—
1504Q8—81no—
1505Q8—4881no—
1506Q8—4881no—
1507Q8—4881no—
1508Q8—4881no—
1509Q8—4881no—
1510Q8—4881no—
1511Q8—4881no—
1512Q8—4881no—
1513Q8—2441no—
1514Q8—2441no—
1515Q8—2441no—
1516Q8—2442no—
1517Q8—2442no—
1518D4—21no—
1519D4—21no—
1520D4—612no—
1521D4—612no—
1522D4—1224no—
1523D4—1224no—
1524D4—1221no—
1525D4—1221no—
1526D4C2×Q8×D6112yes—
1527D4C2×Q8×D6112yes—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—611no—
1541C2×C4—612no—
1542C2×C4—612no—
1543C2×C4—611no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—4881no—
1556C2×C4—4881no—
1557C2×C4—4881no—
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—2441no—
1573C2×C4—2441no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4C2×D4×D6111yescharacteristic
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—612no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8C2×Q8×D6112yes—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—612no—
1599C22—1221no—
1600C22—1221no—
1601C22—1222no—
1602C22—1222no—
1603C22—4884no—
1604C22—4884no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22C22×D4×D6111yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—612no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4—2441no—
1635C4C22×Q8×D6111yescharacteristic
1636C42−1+4×D6111yescharacteristic
1637C2—42no—
1638C2—42no—
1639C2—1222no—
1640C2—2442no—
1641C2—2442no—
1642C2D4×Q8×D6111yescharacteristic
1643C2#2146059411yescharacteristic
1644C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
prime radicalC2×D8×D61C22
hypercenter#3389D61
hypocenterC61#61378
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459618C2semidirect
2. #21459616C2semidirect
3. #21458780C2semidirect
4. #21458778C2semidirect
5. #21458777C2semidirect
6. #21458776C2semidirect
7. #21458774C2semidirect
8. #21458773C2semidirect
9. #21458772C2semidirect
10. #21458722C2semidirect
11. #21458721C2semidirect
12. #21458721C2semidirect
13. #21458720C2semidirect
14. #21458719C2semidirect
15. #21458718C2semidirect
16. #21458716C2semidirect
17. #21458715C2semidirect
18. #21456348C2semidirect
19. #21456346C2semidirect
20. #21456340C2semidirect
21. #21455649C2semidirect
22. #21455649C2semidirect
23. #21455647C2semidirect
24. #21455643C2semidirect
25. #21455614C2semidirect
26. #21455611C2semidirect
27. #21454755C2semidirect
31. C61×#3389C2semidirect
33. #16840473C22semidirect
34. #16840472C22semidirect
35. #16840471C22semidirect
36. #16840471C22semidirect
39. #16840469C22semidirect
40. #16840469C22semidirect
41. #16840468C22semidirect
42. #16840468C22semidirect
43. #16840468C22semidirect
44. #16840468C22semidirect
49. Q8×D244C22semidirect
50. D4×Dic122C22semidirect
51. D4×Dic122C22semidirect
52. #16840427C22semidirect
76. #16840172C22semidirect
77. #16840172C22semidirect
78. #16840172C22semidirect
79. #16840171C22semidirect
80. #16840171C22semidirect
81. #16840170C22semidirect
82. #16840170C22semidirect
83. #16840170C22semidirect
84. #16840170C22semidirect
85. #16840170C22semidirect
86. #16840169C22semidirect
87. #16840169C22semidirect
88. #16840169C22semidirect
89. #16840168C22semidirect
90. #16840163C22semidirect
91. #16840162C22semidirect
92. #16840161C22semidirect
93. #16840160C22semidirect
94. #16840159C22semidirect
95. #16840159C22semidirect
96. #16840158C22semidirect
97. #16840065C22semidirect
98. #16840065C22semidirect
99. #16840065C22semidirect
100. #16840065C22semidirect
101. #16840064C22semidirect
102. #16840064C22semidirect
103. #16840064C22semidirect
104. #16840064C22semidirect
105. #16840063C22semidirect
106. #16840063C22semidirect
107. #16840062C22semidirect
108. #16840062C22semidirect
109. #16840061C22semidirect
110. #16840061C22semidirect
111. #16840060C22semidirect
112. #16840060C22semidirect
113. #16840059C22semidirect
114. #16840059C22semidirect
115. #16840059C22semidirect
116. #16840059C22semidirect
117. #16840053C22semidirect
118. #16840053C22semidirect
119. #16840053C22semidirect
120. #16840052C22semidirect
121. #16840052C22semidirect
122. #16840051C22semidirect
123. #16840051C22semidirect
124. #16840050C22semidirect
125. #16840050C22semidirect
126. #16840050C22semidirect
127. #16840050C22semidirect
128. #16840049C22semidirect
129. #16840043C22semidirect
130. #16840042C22semidirect
131. #16840042C22semidirect
132. #16840041C22semidirect
133. #16840041C22semidirect
134. #16840041C22semidirect
135. #16840041C22semidirect
136. #16840040C22semidirect
137. #16840040C22semidirect
138. #16840039C22semidirect
139. #16839893C22semidirect
140. #16839892C22semidirect
141. #16839891C22semidirect
142. #16839891C22semidirect
143. #16839890C22semidirect
144. #16839890C22semidirect
145. #16839889C22semidirect
188. C61×#554C22semidirect
189. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
193. C61×#478C22semidirect
194. C61×#478C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
197. C61×#474C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
214. D8×D61Q8semidirect
504. D4×D61C2×Q8semidirect
505. D4×D61C2×Q8semidirect
542. D8×C61C2×Q8semidirect
581. #11758199C2×Q8semidirect
582. #11758199C2×Q8semidirect
663. D488C2×Q8semidirect
667. C8×D61C2×Q8semidirect
824. #3389D61semidirect
871. #554C2×D61semidirect
872. #554C2×D61semidirect
914. #501C2×D61semidirect
915. #501C2×D61semidirect
919. #499C2×D61semidirect
944. #478C2×D61semidirect
945. #478C2×D61semidirect
946. #478C2×D61semidirect
947. #478C2×D61semidirect
970. #474C2×D61semidirect
971. #474C2×D61semidirect
979. #446C2×D61semidirect
1025. C61#61378semidirect
1368. D8Q8×D61semidirect

Maximal subgroups

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

subgroupindex
#214596182
#214596162
#214587802
#214587782
#214587772
#214587762
#214587742
#214587732
#214587722
#214587222
#214587212
#214587202
#214587192
#214587182
#214587162
#214587152
#214563482
#214563462
#214563402
#214556492
#214556472
#214556432
#214556142
#214556112
#214547552
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