Finite Group Databasebeta

← #25987483

Subgroups — #25987483

Order 11008.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149075C211yesmaximal, characteristic, complemented
2#19148390C211yesmaximal, characteristic, complemented
3#19147553C211yesmaximal, characteristic, complemented
4#19147550C211yesmaximal, characteristic, complemented
5#19147537C211yesmaximal, characteristic, complemented
6#19147534C211yesmaximal, characteristic, complemented
7#19147513C211yesmaximal, characteristic, complemented
8#19147510C211yesmaximal, characteristic, complemented
9#19147500C211yesmaximal, characteristic, complemented
10#19147429C211yesmaximal, characteristic, complemented
11#19147427C211yesmaximal, characteristic, complemented
12#19147424C211yesmaximal, characteristic, complemented
13#19147418C211yesmaximal, characteristic, complemented
14#19147377C211yesmaximal, characteristic, complemented
15#19147375C211yesmaximal, characteristic, complemented
16#19147316C211yesmaximal, characteristic, complemented
17#19147313C211yesmaximal, characteristic, complemented
18#19145883C211yesmaximal, characteristic, complemented
19#19145881C211yesmaximal, characteristic, complemented
20#19145870C211yesmaximal, characteristic, complemented
21#19145864C211yesmaximal, characteristic, complemented
22#19145838C211yesmaximal, characteristic, complemented
23#19145807C211yesmaximal, characteristic, complemented
24#19144849C211yesmaximal, characteristic, complemented
25#19144844C211yesmaximal, characteristic, complemented
26#19144786C211yesmaximal, characteristic
27#19144783C211yesmaximal, characteristic
28#19144738C211yesmaximal, characteristic
29#19144692C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3386C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34#14583629C2211yescharacteristic, complemented
35#14583627C2211yescharacteristic, complemented
36#14583626C2211yescharacteristic, complemented
37#14583622C2211yescharacteristic, complemented
38#14583621—21no—
39#14583621C2211yescharacteristic, complemented
40#14583621C2211yescharacteristic, complemented
41#14583610C2211yescharacteristic
42#14583610C2211yescharacteristic
43#14583609C2211yescharacteristic
44#14583608C2211yescharacteristic
45#14583608C2211yescharacteristic
46#14583607—21no—
47#14583606C2211yescharacteristic
48#14583605C2211yescharacteristic, complemented
49#14583603—21no—
50#14583603—21no—
51#14583581—21no—
52#14583564C2211yescharacteristic
53Q8×C22⋊D43—21no—
54#14583526—21no—
55#14583526C2211yescharacteristic
56#14583526C2211yescharacteristic
57#14583524—21no—
58#14583524—21no—
59#14583523C2211yescharacteristic
60#14583521C2211yescharacteristic
61#14583512C2211yescharacteristic
62#14583508—21no—
63#14583508—21no—
64#14583507—21no—
65#14583507C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583434C2211yescharacteristic
70C2×#13063301—21no—
71C22⋊Q8×D43—21no—
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583266C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583261C2211yescharacteristic, complemented
89#14583261C2211yescharacteristic, complemented
90#14583260C2211yescharacteristic, complemented
91#14583259C2211yescharacteristic, complemented
92#14583255C2211yescharacteristic, complemented
93#14583254C2211yescharacteristic, complemented
94#14583251C2211yescharacteristic, complemented
95#14583248C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583243C2211yescharacteristic
98#14583242C2211yescharacteristic
99#14583242C2211yescharacteristic
100#14583238C2211yescharacteristic
101#14583238C2211yescharacteristic
102#14583236C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583231C2211yescharacteristic
105#14583226C2211yescharacteristic
106#14583226C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583209C2211yescharacteristic, complemented
109#14583207C2211yescharacteristic, complemented
110#14583206C2211yescharacteristic, complemented
111#14583206C2211yescharacteristic, complemented
112#14583205C2211yescharacteristic, complemented
113#14583205C2211yescharacteristic, complemented
114#14583205C2211yescharacteristic, complemented
115#14583205C2211yescharacteristic, complemented
116#14583202C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic
118#14583200C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic
120#14583198C2211yescharacteristic, complemented
121#14583198C2211yescharacteristic, complemented
122#14583196C2211yescharacteristic
123#14583196C2211yescharacteristic
124#14583193C2211yescharacteristic, complemented
125#14583193C2211yescharacteristic, complemented
126#14583191C2211yescharacteristic, complemented
127#14583191C2211yescharacteristic, complemented
128#14583187C2211yescharacteristic
129#14583186C2211yescharacteristic
130#14583185C2211yescharacteristic, complemented
131#14583184C2211yescharacteristic, complemented
132#14583183C2211yescharacteristic, complemented
133#14583178C2211yescharacteristic
134#14583178C2211yescharacteristic
135#14583178C2211yescharacteristic, complemented
136#14583177C2211yescharacteristic
137#14583176C2211yescharacteristic, complemented
138#14583117C2211yescharacteristic
139#14583116C2211yescharacteristic
140#14583115C2211yescharacteristic
141#14583115C2211yescharacteristic
142#14583114C2211yescharacteristic
143#14583114C2211yescharacteristic
144#14583105C2211yescharacteristic
145#14583104C2211yescharacteristic
146#14583103C2211yescharacteristic
147#14583103C2211yescharacteristic
148#14583102C2211yescharacteristic
149#14583102C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583010C2211yescharacteristic
163#14583008C2211yescharacteristic
164#14583008C2211yescharacteristic
165#14583001C2211yescharacteristic
166#14582999C2211yescharacteristic
167#14582999C2211yescharacteristic
168#14582998C2211yescharacteristic
169#14582998C2211yescharacteristic
170#14582998C2211yescharacteristic
171#14582997C2211yescharacteristic
172#14582997C2211yescharacteristic
173#14582996C2211yescharacteristic
174#14582996C2211yescharacteristic
175#14582990C2211yescharacteristic
176#14582990C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178C4×#10621884C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582981C2211yescharacteristic
181C4×#10621882C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189D4×Q8×C43C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#500C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic, complemented
196C43×#477C2211yescharacteristic, complemented
197C43×#475C2211yescharacteristic, complemented
198C43×#474C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×Q8×D43—21no—
204C2×D4×D43C2311yescharacteristic
205C22×C4×D43—21no—
206C2×#10621873C2311yescharacteristic
207C2×#10621873C2311yescharacteristic
208C2×#10621883C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211C2×D344C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324D411yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063323—21no—
223#13063323—21no—
224#13063323—21no—
225#13063323—21no—
226#13063323D411yescharacteristic
227#13063323C2311yescharacteristic
228#13063323C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063316—21no—
247#13063316—21no—
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315D411yescharacteristic
262#13063315D411yescharacteristic
263#13063314—21no—
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063313C2311yescharacteristic
267#13063313C2311yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305D411yescharacteristic
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063304—21no—
279#13063304—21no—
280#13063304—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303D411yescharacteristic
294#13063303D411yescharacteristic
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301—21no—
312#13063301D411yescharacteristic
313#13063301C2311yescharacteristic
314#13063300C2311yescharacteristic
315Q8×Dic43—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063282—21no—
354#13063282—21no—
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063282C2311yescharacteristic
358C2×C4⋊Dic43—21no—
359C2×Dic43⋊C4—21no—
360C2×Dic43⋊C4—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43C2311yescharacteristic
366C2×(C2×D43)⋊C4—21no—
367C2×(C2×D43)⋊C4—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C42×D43C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063256C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C22×Q8×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C4⋊Q8×C43—21no—
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—82no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494Q8×D43—82no—
495D4×D43—22no—
496D4×D43—22no—
497C2×D172—21no—
498C2×D172C2411yescharacteristic
499C2×D172C2411yescharacteristic
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—82no—
511C2×C4×D43C2×D411yescharacteristic
512C2×C4×D43C2×D411yescharacteristic
513C2×C4×D43C2411yescharacteristic
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86C2×D411yescharacteristic
520C2×Dic86C2×D411yescharacteristic
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2411yescharacteristic
523C2×Dic86C2411yescharacteristic
524SD16×C43—22no—
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2×D411yescharacteristic
542C4⋊C4×C43C2×D411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561#10621884—22no—
562#10621883—22no—
563#10621883—22no—
564#10621882—22no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4—21no—
567(C2×D43)⋊C4—21no—
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4C2×D411yescharacteristic
587(C2×D43)⋊C4C2×D411yescharacteristic
588(C2×D43)⋊C4C2×D411yescharacteristic
589(C2×D43)⋊C4C2×D411yescharacteristic
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43C2×D411yescharacteristic
601C4⋊Dic43C2×D411yescharacteristic
602C4⋊Dic43C2×D411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659D344—22no—
660#10621873—22no—
661#10621873—22no—
662C23×C43—21no—
663C22×D43—21no—
664C22×D43—24no—
665C22×D43—21no—
666C22×D43—81no—
667C22×D43—81no—
668C22×D43C22×D411yescharacteristic
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—41no—
672Q8×C43—42no—
673Q8×C43—81no—
674Q8×C43—81no—
675Q8×C43—81no—
676D4×C43—21no—
677D4×C432−1+412yes—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—42no—
686C2×C4×C43—81no—
687C2×C4×C43—81no—
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C2511yescharacteristic
695C22⋊D43—24no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—81no—
703C2×Dic43—81no—
704C2×Dic43—81no—
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712D172—21no—
713D172—21no—
714D172—21no—
715D172—81no—
716D1722−1+412yes—
717C4×D43—21no—
718C4×D43—21no—
719C4×D43—41no—
720C4×D43—41no—
721C4×D43—42no—
722C4×D43—42no—
723C4×D43—81no—
724C4×D43—81no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731Dic86—21no—
732Dic86—21no—
733Dic86—21no—
734Dic86—21no—
735Dic86—41no—
736Dic86—41no—
737Dic86—41no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742Dic86—81no—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751#61873—431nomaximal, Sylow
752C22×C43—22no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43C23×D411yescharacteristic
756C2×D43—21no—
757C2×D43—21no—
758C2×D43—21no—
759C2×D43—22no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—84no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43—21no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43C2×2−1+411yescharacteristic
780C4×C43C2×2−1+411yescharacteristic
781Dic43—21no—
782Dic43—21no—
783Dic43—21no—
784Dic43—21no—
785Dic43—21no—
786Dic43—21no—
787Dic43—21no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794#3555—431no—
795#3501—431no—
796#3389—431no—
797#3389—431no—
798#3388—431no—
799#3388—431no—
800#3386—431no—
801#3386D4311yescharacteristic, complemented
802#3385—431no—
803#3385—431no—
804#3376—431no—
805#3376—431no—
806#3376—431no—
807#3376—431no—
808#3372—431no—
809#3372—431no—
810#3367—431no—
811#3367—431no—
812#3243—431no—
813#3243—431no—
814#3242—431no—
815#3242—431no—
816#3240—431no—
817#3237—431no—
818#3123—431no—
819#3123—431no—
820#3118—431no—
821#3118—431no—
822#3114—431no—
823#3110—431no—
824#2987—431no—
825C2×C43—42no—
826C2×C43#348611yescharacteristic
827C2×C43#358511yescharacteristic
828C2×C43#358611yescharacteristic
829D43—41no—
830D43—42no—
831D43—81no—
832#563—861no—
833#563—861no—
834Q82—431no—
835#557—431no—
836#557—431no—
837#557C2×D4311yescharacteristic, complemented
838#556—431no—
839#556—431no—
840#556—431no—
841#556—861no—
842#554—431no—
843#554—431no—
844#554—431no—
845#554—431no—
846#554—431no—
847#554—431no—
848#554—431no—
849#554—861no—
850#554—861no—
851#554—861no—
852#552—861no—
853D4×Q8—431no—
854D4×Q8—861no—
855D4×Q8C2×D4311yescharacteristic
856#544—431no—
857#544—431no—
858#544—861no—
859#543—861no—
860#543—861no—
861#542—431no—
862#542—431no—
863#541—431no—
864#541—431no—
865#541—861no—
866#541—861no—
867#541—861no—
868#533—431no—
869#533—431no—
870#533—431no—
871#529—431no—
872C2×C22⋊Q8—861no—
873C2×C22⋊Q8—861no—
874#518—431no—
875#518—431no—
876C2×C4×D4—431no—
877#501—431no—
878#501—431no—
879#501—431no—
880#501—431no—
881#501—431no—
882#501—431no—
883#501C2×D4311yescharacteristic, complemented
884#501C2×D4311yescharacteristic, complemented
885#500—431no—
886#500C2×D4311yescharacteristic, complemented
887#499—431no—
888#499—431no—
889#491—431no—
890#491—431no—
891#491—431no—
892#491—431no—
893#489—431no—
894#489—431no—
895#489—431no—
896#489—431no—
897#488—431no—
898#488—431no—
899#487—431no—
900#487—431no—
901#485—431no—
902#485—431no—
903#485—431no—
904#485—431no—
905#485—431no—
906#485—431no—
907#484—431no—
908#484—431no—
909#483—431no—
910#482—431no—
911#482—431no—
912#480—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479—431no—
920#479—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478—431no—
929#478C2×D4311yescharacteristic
930#478C2×D4311yescharacteristic
931#477—431no—
932#477—431no—
933#477—431no—
934#477—431no—
935#477C2×D4311yescharacteristic, complemented
936#477C2×D4311yescharacteristic, complemented
937#476—431no—
938#476—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#475C2×D4311yescharacteristic, complemented
943#474—431no—
944#474—431no—
945#474—431no—
946#474—431no—
947#474—431no—
948#474C2×D4311yescharacteristic
949#463—431no—
950#463—431no—
951#463—431no—
952#463—431no—
953#463—431no—
954#463—431no—
955#461—431no—
956#461—431no—
957#461—431no—
958#461—431no—
959#461—431no—
960#461—431no—
961#450—431no—
962#450—431no—
963#450—431no—
964#447—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968#446—431no—
969#446—431no—
970#446—431no—
971#446—431no—
972#446C2×D4311yescharacteristic, complemented
973#442—431no—
974#442—431no—
975#442—431no—
976#442—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980#440—431no—
981#440—431no—
982#440—431no—
983#440—431no—
984#440—431no—
985#440—431no—
986#440—431no—
987#440C2×D4311yescharacteristic
988#440C2×D4311yescharacteristic
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993C4×SD16—431no—
994C4×SD16C2×D4311yescharacteristic
995C4×D8—431no—
996C4×D8—431no—
997#433—431no—
998#433—431no—
999#433—431no—
1000#433—431no—
1001#432—431no—
1002#432—431no—
1003C43#6187311yescharacteristic, complemented, Sylow
1004C22×Q8—21no—
1005C22×Q8—861no—
1006C22×D4—431no—
1007C23×C4—861no—
1008C2×SD16—431no—
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16—431no—
1012C2×SD16—431no—
1013C2×SD16C22×D4311yescharacteristic
1014C2×D8—431no—
1015C2×D8—431no—
1016C4⋊Q8—21no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8C22×D4311yescharacteristic
1034C4⋊Q8C22×D4311yescharacteristic
1035C4⋊Q8C22×D4311yescharacteristic
1036C4⋊Q8C22×D4311yescharacteristic
1037#126—861no—
1038#126—861no—
1039#126—861no—
1040#126—861no—
1041#126—861no—
1042#126—861no—
1043#126—861no—
1044#126—861no—
1045#126—861no—
1046#126—861no—
1047#126—861no—
1048#126—861no—
1049#126—861no—
1050#125—21no—
1051#125—21no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#124—431no—
1076#124—431no—
1077#124—431no—
1078#124—861no—
1079#124—861no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
1092C22⋊Q8—431no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129#121—431no—
1130C4×Q8—21no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—431no—
1134C4×Q8—431no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×Q8C22×D4311yescharacteristic
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4C22×D4311yescharacteristic
1170C4×D4C22×D4311yescharacteristic
1171C4×D4C22×D4311yescharacteristic
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—861no—
1177#117—861no—
1178#117—861no—
1179#117—861no—
1180#117—861no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C4⋊C4—861no—
1186C2×C4⋊C4—861no—
1187C2×C4⋊C4—861no—
1188C2×C4⋊C4—861no—
1189C2×C22⋊C4—861no—
1190C2×C22⋊C4—861no—
1191C2×C22⋊C4—861no—
1192C2×C22⋊C4—861no—
1193C2×C22⋊C4—861no—
1194C2×C42—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107C22×D4311yescharacteristic
1204#107C22×D4311yescharacteristic
1205#107C22×D4311yescharacteristic
1206#107C22×D4311yescharacteristic
1207#107C22×D4311yescharacteristic
1208#107C22×D4311yescharacteristic
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106C22×D4311yescharacteristic
1217#106C22×D4311yescharacteristic
1218#106C22×D4311yescharacteristic
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230C4⋊C8C22×D4311yescharacteristic
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103C22×D4311yescharacteristic
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102C22×D4311yescharacteristic
1261#102C22×D4311yescharacteristic
1262#102C22×D4311yescharacteristic
1263C22⋊C8—431no—
1264C22⋊C8—431no—
1265C22⋊C8—431no—
1266C22⋊C8—431no—
1267#97—431no—
1268#97—431no—
1269#97—431no—
1270#97—431no—
1271#97—431no—
1272#97—431no—
1273#97C22×D4311yescharacteristic
1274#97C22×D4311yescharacteristic
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8C22×D4311yescharacteristic
1279C24—861no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—82no—
1285C2×Q8—431no—
1286C2×Q8—431no—
1287C2×Q8—431no—
1288C2×Q8—431no—
1289C2×Q8—431no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—861no—
1295C2×Q8—3442no—
1296C2×Q8D4×D4311yescharacteristic
1297C2×Q8C23×D4311yescharacteristic
1298C2×D4—431no—
1299C2×D4—431no—
1300C2×D4—861no—
1301C2×D4—861no—
1302C2×D4—862no—
1303C2×D4—862no—
1304C2×D4C23×D4311yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—431no—
1309C22×C4—431no—
1310C22×C4—431no—
1311C22×C4—861no—
1312C22×C4—861no—
1313C22×C4—861no—
1314C22×C4—861no—
1315C22×C4—861no—
1316C22×C4—861no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—3442no—
1325SD16—22no—
1326SD16—862no—
1327SD16—862no—
1328SD16—862no—
1329SD16—862no—
1330SD16—862no—
1331D8—862no—
1332D8—862no—
1333C2×C8—431no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8C23×D4311yescharacteristic
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4D4×D4311yescharacteristic
1405C4⋊C4D4×D4311yescharacteristic
1406C4⋊C4D4×D4311yescharacteristic
1407C4⋊C4C23×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C4⋊C4C23×D4311yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—431no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—431no—
1448C42—431no—
1449C42—431no—
1450C42—431no—
1451C42—431no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C42C23×D4311yescharacteristic
1463C23—21no—
1464C23—431no—
1465C23—864no—
1466C23—861no—
1467C23—861no—
1468C23—3441no—
1469C23—3441no—
1470Q8—21no—
1471Q8—21no—
1472Q8—41no—
1473Q8—42no—
1474Q8—81no—
1475Q8—81no—
1476Q8—81no—
1477Q8—861no—
1478Q8—861no—
1479Q8—861no—
1480Q8—861no—
1481Q8—3441no—
1482Q8—3441no—
1483Q8—3441no—
1484Q8—3441no—
1485Q8—3441no—
1486Q8—1721no—
1487Q8—1721no—
1488Q8—1721no—
1489D4—21no—
1490D4—432no—
1491D4—864no—
1492D4—861no—
1493D4—861no—
1494D4—861no—
1495D4—3441no—
1496D4#1306337312yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—42no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—431no—
1508C2×C4—431no—
1509C2×C4—431no—
1510C2×C4—431no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—3441no—
1523C2×C4—3441no—
1524C2×C4—3441no—
1525C2×C4—3441no—
1526C2×C4—3441no—
1527C2×C4—3441no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—1721no—
1534C2×C4—1721no—
1535C2×C4—1722no—
1536C2×C4—1722no—
1537C2×C4C2×D4×D4311yescharacteristic
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C2×D4×D4311yescharacteristic
1543C2×C4C24×D4311yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C8—861no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—861no—
1556C22—861no—
1557C22—861no—
1558C22—862no—
1559C22—3444no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22C22×D4×D4311yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—861no—
1584C4—861no—
1585C4—861no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C42−1+4×D4311yescharacteristic
1593C4C2×#1306337311yescharacteristic
1594C2—42no—
1595C2—3441no—
1596C2—1721no—
1597C2—1722no—
1598C2#1914824511yescharacteristic
1599C2#1914937111yescharacteristic
1600C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3386C2
socleC22×C43C23×D4
prime radical#14583034C22
hypercenter#3386D43
hypocenterC43#61873
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3386

Complements

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

NH ≅ G/Ntype
1. #19149075C2semidirect
2. #19148390C2semidirect
3. #19147553C2semidirect
4. #19147550C2semidirect
5. #19147537C2semidirect
6. #19147534C2semidirect
7. #19147513C2semidirect
8. #19147510C2semidirect
9. #19147500C2semidirect
10. #19147429C2semidirect
11. #19147427C2semidirect
12. #19147424C2semidirect
13. #19147418C2semidirect
14. #19147377C2semidirect
15. #19147375C2semidirect
16. #19147316C2semidirect
17. #19147313C2semidirect
18. #19145883C2semidirect
19. #19145881C2semidirect
20. #19145870C2semidirect
21. #19145864C2semidirect
22. #19145838C2semidirect
23. #19145807C2semidirect
24. #19144849C2semidirect
25. #19144844C2semidirect
29. #19144692C2semidirect
30. #19143698C2semidirect
31. C43×#3386C2semidirect
34. #14583629C22semidirect
35. #14583627C22semidirect
36. #14583626C22semidirect
37. #14583622C22semidirect
39. #14583621C22semidirect
40. #14583621C22semidirect
48. #14583605C22semidirect
75. #14583309C22semidirect
76. #14583307C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583299C22semidirect
83. #14583298C22semidirect
84. #14583268C22semidirect
85. #14583266C22semidirect
86. #14583266C22semidirect
87. #14583266C22semidirect
88. #14583261C22semidirect
89. #14583261C22semidirect
90. #14583260C22semidirect
91. #14583259C22semidirect
92. #14583255C22semidirect
93. #14583254C22semidirect
94. #14583251C22semidirect
95. #14583248C22semidirect
108. #14583209C22semidirect
109. #14583207C22semidirect
110. #14583206C22semidirect
111. #14583206C22semidirect
112. #14583205C22semidirect
113. #14583205C22semidirect
114. #14583205C22semidirect
115. #14583205C22semidirect
116. #14583202C22semidirect
118. #14583200C22semidirect
120. #14583198C22semidirect
121. #14583198C22semidirect
124. #14583193C22semidirect
125. #14583193C22semidirect
126. #14583191C22semidirect
127. #14583191C22semidirect
130. #14583185C22semidirect
131. #14583184C22semidirect
132. #14583183C22semidirect
135. #14583178C22semidirect
137. #14583176C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
188. C43×#557C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#500C22semidirect
195. C43×#477C22semidirect
196. C43×#477C22semidirect
197. C43×#475C22semidirect
199. C43×#446C22semidirect
801. #3386D43semidirect
837. #557C2×D43semidirect
883. #501C2×D43semidirect
884. #501C2×D43semidirect
886. #500C2×D43semidirect
935. #477C2×D43semidirect
936. #477C2×D43semidirect
942. #475C2×D43semidirect
972. #446C2×D43semidirect
1003. C43#61873semidirect

Maximal subgroups

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

subgroupindex
#191490752
#191483902
#191475532
#191475502
#191475372
#191475342
#191475132
#191475102
#191475002
#191474292
#191474272
#191474242
#191474182
#191473772
#191473752
#191473162
#191473132
#191458832
#191458812
#191458702
#191458642
#191458382
#191458072
#191448492
#191448442
#191447862
#191447832
#191447382
#191446922
#191436982
C43×#33862
#6187343