Finite Group Databasebeta

← #30575982

Subgroups — #30575982

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459791C211yesmaximal, characteristic, complemented
2#21459429C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458761C211yesmaximal, characteristic, complemented
5#21458590C211yesmaximal, characteristic, complemented
6#21458575C211yesmaximal, characteristic, complemented
7#21458421C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21458311C211yesmaximal, characteristic, complemented
10#21458305C211yesmaximal, characteristic, complemented
11#21458290C211yesmaximal, characteristic, complemented
12#21458281C211yesmaximal, characteristic, complemented
13#21458036C211yesmaximal, characteristic, complemented
14#21458021C211yesmaximal, characteristic, complemented
15#21457957C211yesmaximal, characteristic, complemented
16#21457901C211yesmaximal, characteristic, complemented
17#21457837C211yesmaximal, characteristic, complemented
18#21457781C211yesmaximal, characteristic, complemented
19#21457222C211yesmaximal, characteristic, complemented
20#21457182C211yesmaximal, characteristic, complemented
21#21457173C211yesmaximal, characteristic, complemented
22#21457064C211yesmaximal, characteristic, complemented
23#21457009C211yesmaximal, characteristic, complemented
24#21456991C211yesmaximal, characteristic, complemented
25#21455962C211yesmaximal, characteristic, complemented
26#21455928C211yesmaximal, characteristic, complemented
27#21455871C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3080C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840489C2211yescharacteristic, complemented
34#16840472C2211yescharacteristic
35#16840469C2211yescharacteristic
36#16840468C2211yescharacteristic, complemented
37#16840467C2211yescharacteristic, complemented
38#16840465C2211yescharacteristic
39#16840460C2211yescharacteristic, complemented
40#16840458—21no—
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic
43#16840450C2211yescharacteristic
44#16840447—21no—
45#16840447C2211yescharacteristic, complemented
46#16840444—21no—
47#16840444—21no—
48#16840436—21no—
49#16840436—21no—
50#16840413—21no—
51#16840413C2211yescharacteristic, complemented
52#16840408—21no—
53#16840400C2211yescharacteristic
54#16840400C2211yescharacteristic
55D4×D244C2211yescharacteristic
56#16840371—21no—
57#16840360—21no—
58#16840359—21no—
59#16840318C2211yescharacteristic, complemented
60#16840312C2211yescharacteristic
61#16840299C2211yescharacteristic
62#16840299C2211yescharacteristic
63#16840297C2211yescharacteristic, complemented
64#16840297C2211yescharacteristic, complemented
65#16840296—21no—
66#16840296C2211yescharacteristic, complemented
67#125×D61C2211yescharacteristic, complemented
68#16840271—21no—
69#16840271—21no—
70#16840243—21no—
71C4×#11758222C2211yescharacteristic
72C2×C4×D244—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840172C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840128C2211yescharacteristic
82#16840128C2211yescharacteristic
83#16840123C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840118C2211yescharacteristic, complemented
87#16840103C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840086C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic
98#16840082C2211yescharacteristic, complemented
99#16840080C2211yescharacteristic, complemented
100#16840080C2211yescharacteristic, complemented
101#16840077C2211yescharacteristic
102#16840077C2211yescharacteristic, complemented
103#16840075C2211yescharacteristic, complemented
104#16840075C2211yescharacteristic, complemented
105#16840072C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840068C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic, complemented
110#16840064C2211yescharacteristic
111#16840063C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic
114#16840061C2211yescharacteristic, complemented
115#16840061C2211yescharacteristic, complemented
116#16840060C2211yescharacteristic
117#16840059C2211yescharacteristic, complemented
118#16840059C2211yescharacteristic, complemented
119#16840059C2211yescharacteristic, complemented
120#16840059C2211yescharacteristic, complemented
121#16840051C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic
123#16840048C2211yescharacteristic, complemented
124#16840043C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic
127#16840019C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic
129#16840015C2211yescharacteristic, complemented
130#16840015C2211yescharacteristic, complemented
131#16840011C2211yescharacteristic, complemented
132#16840009C2211yescharacteristic
133#16840008C2211yescharacteristic, complemented
134#16840008C2211yescharacteristic, complemented
135#16840002C2211yescharacteristic, complemented
136#16839999C2211yescharacteristic
137#16839994C2211yescharacteristic, complemented
138#16839992C2211yescharacteristic
139#16839987C2211yescharacteristic, complemented
140#16839987C2211yescharacteristic, complemented
141#16839984C2211yescharacteristic, complemented
142#16839980C2211yescharacteristic, complemented
143#16839980C2211yescharacteristic, complemented
144#16839978C2211yescharacteristic, complemented
145#16839978C2211yescharacteristic, complemented
146#16839977C2211yescharacteristic
147#16839963C2211yescharacteristic
148#16839958C2211yescharacteristic
149#16839924C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839907C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839897C2211yescharacteristic
155#16839891C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839873C2211yescharacteristic, complemented
158#16839872C2211yescharacteristic
159#16839871C2211yescharacteristic
160#16839867C2211yescharacteristic, complemented
161#16839862C2211yescharacteristic
162#16839861C2211yescharacteristic, complemented
163#16839860C2211yescharacteristic, complemented
164#16839859C2211yescharacteristic
165#16839853C2211yescharacteristic
166#16839849C2211yescharacteristic, complemented
167#16839844C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic
169#16839838C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic
172#16839832C2211yescharacteristic
173#16839831C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic, complemented
175#16839819C2211yescharacteristic, complemented
176#16839818C2211yescharacteristic, complemented
177#16839814C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic, complemented
179#16839801C2211yescharacteristic, complemented
180#107×D61C2211yescharacteristic, complemented
181#106×D61C2211yescharacteristic, complemented
182#16839784C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C2×#125×C61C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#478C2211yescharacteristic
198C61×#428C2211yescharacteristic, complemented
199C61×#428C2211yescharacteristic, complemented
200C61×#423C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C22×D244—21no—
207C2×D4×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519774C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519771—21no—
238#14519771—21no—
239#14519769—21no—
240#14519769C2311yescharacteristic
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519766C2311yescharacteristic
253#14519766C2311yescharacteristic
254#14519765—21no—
255#14519765—21no—
256#14519765C2311yescharacteristic
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519760—21no—
268#14519760—21no—
269#14519760—21no—
270#14519760—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
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#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519752—21no—
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751—21no—
298#14519751—21no—
299#14519751—21no—
300#14519751C2311yescharacteristic
301#14519751C2311yescharacteristic
302#14519751C2311yescharacteristic
303#14519750—21no—
304#14519750—21no—
305#14519749—21no—
306#14519749—21no—
307#14519747—21no—
308#14519747—21no—
309#14519745—21no—
310#14519745—21no—
311C4×Dic122D411yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742C2311yescharacteristic
318#14519742C2311yescharacteristic
319C4×D244—21no—
320C4×D244—21no—
321C4×D244—21no—
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61D411yescharacteristic
346C4×C22⋊D61D411yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519736D411yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734—21no—
361#14519734D411yescharacteristic
362#14519734D411yescharacteristic
363C2×C4⋊Dic61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×#11758198—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438#125×C61—21no—
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×D4×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450#117×C61—21no—
451#117×C61C2311yescharacteristic
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61—21no—
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456C2×C42×C61—21no—
457C2×C42×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2×D411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61C2×D411yescharacteristic
499C2×C22⋊D61C2×D411yescharacteristic
500C22×Dic61—21no—
501C22×Dic61—21no—
502D4×D61—22no—
503D4×D61—22no—
504D4×D61—41no—
505D4×D61—41no—
506#11758222—42no—
507#11758222—44no—
508#11758222—82no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—44no—
516C2×D244C2×D411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
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—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—82no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544M16×C61—41no—
545M16×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
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×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758202—41no—
584#11758201—41no—
585#11758200—22no—
586#11758199—22no—
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#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667D488—41no—
668D488—41no—
669#11758190—41no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690D4×C61—21no—
691D4×C61—42no—
692D4×C612−1+412yes—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—41no—
703C2×C4×C61—41no—
704C2×C4×C61—42no—
705C2×C4×C61—42no—
706C2×C4×C61—42no—
707C2×C4×C61—42no—
708C2×C4×C61—81no—
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C2511yescharacteristic
715C22⋊D61—22no—
716C22⋊D61—41no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735D244—22no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—42no—
743D244—42no—
744D244—42no—
745D244—42no—
746D244—81no—
747D244—81no—
748C4×D61—22no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—41no—
754C4×D61—41no—
755C4×D61—41no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—21no—
768Dic122—21no—
769Dic122—41no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—22no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080D6111yescharacteristic, complemented
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61—41no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—22no—
868D61—41no—
869D61—81no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125C2×D6111yescharacteristic, complemented
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41C2×D6111yescharacteristic
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479C2×D6111yescharacteristic, complemented
951#479C2×D6111yescharacteristic, complemented
952#479C2×D6111yescharacteristic, complemented
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478C2×D6111yescharacteristic
968#478C2×D6111yescharacteristic
969#478C2×D6111yescharacteristic
970#478C2×D6111yescharacteristic
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428C2×D6111yescharacteristic, complemented
1031#428C2×D6111yescharacteristic, complemented
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423C2×D6111yescharacteristic, complemented
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417C2×D6111yescharacteristic
1040#417C2×D6111yescharacteristic
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41C22×D6111yescharacteristic
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—21no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
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—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
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—611no—
1186C4×D4—611no—
1187C4×D4—611no—
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×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—21no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—22no—
1322#41—41no—
1323#41—4882no—
1324#41—2442no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—2444no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—41no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
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⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
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—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—42no—
1539D4—1222no—
1540D4—1222no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982512yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—4881no—
1600C2×C4—4881no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2441no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—22no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—612no—
1629C22—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—4884no—
1635C22—4884no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982511yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—41no—
1672C2—42no—
1673C2—1222no—
1674C2—4881no—
1675C2—4881no—
1676C2—4881no—
1677C2—2441no—
1678C2#2145949511yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3080C2
socleC22×C61C23×D4
hypercenter#3080D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3080

Complements

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

NH ≅ G/Ntype
1. #21459791C2semidirect
2. #21459429C2semidirect
3. #21458776C2semidirect
4. #21458761C2semidirect
5. #21458590C2semidirect
6. #21458575C2semidirect
7. #21458421C2semidirect
8. #21458375C2semidirect
9. #21458311C2semidirect
10. #21458305C2semidirect
11. #21458290C2semidirect
12. #21458281C2semidirect
13. #21458036C2semidirect
14. #21458021C2semidirect
15. #21457957C2semidirect
16. #21457901C2semidirect
17. #21457837C2semidirect
18. #21457781C2semidirect
19. #21457222C2semidirect
20. #21457182C2semidirect
21. #21457173C2semidirect
22. #21457064C2semidirect
23. #21457009C2semidirect
24. #21456991C2semidirect
25. #21455962C2semidirect
26. #21455928C2semidirect
27. #21455871C2semidirect
28. #21455614C2semidirect
29. #478×D61C2semidirect
30. #21454933C2semidirect
31. C61×#3080C2semidirect
33. #16840489C22semidirect
36. #16840468C22semidirect
37. #16840467C22semidirect
39. #16840460C22semidirect
45. #16840447C22semidirect
51. #16840413C22semidirect
59. #16840318C22semidirect
63. #16840297C22semidirect
64. #16840297C22semidirect
66. #16840296C22semidirect
67. #125×D61C22semidirect
75. #16840172C22semidirect
76. #16840172C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840123C22semidirect
84. #16840123C22semidirect
85. #16840118C22semidirect
86. #16840118C22semidirect
87. #16840103C22semidirect
88. #16840102C22semidirect
89. #16840101C22semidirect
90. #16840099C22semidirect
91. #16840096C22semidirect
92. #16840094C22semidirect
93. #16840091C22semidirect
96. #16840086C22semidirect
98. #16840082C22semidirect
99. #16840080C22semidirect
100. #16840080C22semidirect
102. #16840077C22semidirect
103. #16840075C22semidirect
104. #16840075C22semidirect
105. #16840072C22semidirect
106. #16840069C22semidirect
107. #16840068C22semidirect
108. #16840065C22semidirect
109. #16840065C22semidirect
111. #16840063C22semidirect
112. #16840063C22semidirect
114. #16840061C22semidirect
115. #16840061C22semidirect
117. #16840059C22semidirect
118. #16840059C22semidirect
119. #16840059C22semidirect
120. #16840059C22semidirect
121. #16840051C22semidirect
123. #16840048C22semidirect
124. #16840043C22semidirect
125. #16840041C22semidirect
127. #16840019C22semidirect
129. #16840015C22semidirect
130. #16840015C22semidirect
131. #16840011C22semidirect
133. #16840008C22semidirect
134. #16840008C22semidirect
135. #16840002C22semidirect
137. #16839994C22semidirect
139. #16839987C22semidirect
140. #16839987C22semidirect
141. #16839984C22semidirect
142. #16839980C22semidirect
143. #16839980C22semidirect
144. #16839978C22semidirect
145. #16839978C22semidirect
155. #16839891C22semidirect
156. #16839891C22semidirect
157. #16839873C22semidirect
160. #16839867C22semidirect
162. #16839861C22semidirect
163. #16839860C22semidirect
166. #16839849C22semidirect
167. #16839844C22semidirect
169. #16839838C22semidirect
170. #16839838C22semidirect
173. #16839831C22semidirect
174. #16839831C22semidirect
175. #16839819C22semidirect
176. #16839818C22semidirect
177. #16839814C22semidirect
178. #16839803C22semidirect
179. #16839801C22semidirect
180. #107×D61C22semidirect
181. #106×D61C22semidirect
182. #16839784C22semidirect
183. C4⋊C8×D61C22semidirect
188. C2×#125×C61C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#479C22semidirect
193. C61×#479C22semidirect
198. C61×#428C22semidirect
199. C61×#428C22semidirect
200. C61×#423C22semidirect
858. #3080D61semidirect
908. C2×#125C2×D61semidirect
950. #479C2×D61semidirect
951. #479C2×D61semidirect
952. #479C2×D61semidirect
953. #479C2×D61semidirect
1030. #428C2×D61semidirect
1031. #428C2×D61semidirect
1035. #423C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597912
#214594292
#214587762
#214587612
#214585902
#214585752
#214584212
#214583752
#214583112
#214583052
#214582902
#214582812
#214580362
#214580212
#214579572
#214579012
#214578372
#214577812
#214572222
#214571822
#214571732
#214570642
#214570092
#214569912
#214559622
#214559282
#214558712
#214556142
#478×D612
#214549332
C61×#30802
#6211961