Finite Group Databasebeta

← #25987464

Subgroups — #25987464

Order 11008.

1722 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149058C211yesmaximal, characteristic, complemented
2#19148390C211yesmaximal, characteristic, complemented
3#19147552C211yesmaximal, characteristic, complemented
4#19147549C211yesmaximal, characteristic, complemented
5#19147544C211yesmaximal, characteristic, complemented
6#19147539C211yesmaximal, characteristic, complemented
7#19147499C211yesmaximal, characteristic, complemented
8#19147491C211yesmaximal, characteristic, complemented
9#19147489C211yesmaximal, characteristic, complemented
10#19147390C211yesmaximal, characteristic, complemented
11#19147387C211yesmaximal, characteristic, complemented
12#19147355C211yesmaximal, characteristic, complemented
13#19147353C211yesmaximal, characteristic, complemented
14#19147350C211yesmaximal, characteristic, complemented
15#19147344C211yesmaximal, characteristic, complemented
16#19147303C211yesmaximal, characteristic, complemented
17#19147301C211yesmaximal, characteristic, complemented
18#19145896C211yesmaximal, characteristic, complemented
19#19145890C211yesmaximal, characteristic, complemented
20#19145855C211yesmaximal, characteristic, complemented
21#19145849C211yesmaximal, characteristic, complemented
22#19145838C211yesmaximal, characteristic, complemented
23#19145791C211yesmaximal, characteristic, complemented
24#19144840C211yesmaximal, characteristic, complemented
25#19144835C211yesmaximal, characteristic, complemented
26#19144784C211yesmaximal, characteristic, complemented
27#19144777C211yesmaximal, characteristic, complemented
28#19144738C211yesmaximal, characteristic, complemented
29#19144684C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3384C211yesmaximal, characteristic, complemented
32#14583645—21no—
33#14583645—21no—
34#14583634C2211yescharacteristic, complemented
35#14583632C2211yescharacteristic, complemented
36#14583632C2211yescharacteristic, complemented
37#14583626C2211yescharacteristic, complemented
38#14583610C2211yescharacteristic
39#14583610C2211yescharacteristic
40#14583609C2211yescharacteristic
41#14583608C2211yescharacteristic
42#14583608C2211yescharacteristic
43#14583607—21no—
44#14583606C2211yescharacteristic
45#14583605C2211yescharacteristic, complemented
46#14583603—21no—
47#14583603—21no—
48#14583570C2211yescharacteristic, complemented
49#14583564C2211yescharacteristic
50#14583564C2211yescharacteristic, complemented
51Q8×C22⋊D43—21no—
52#14583559—21no—
53#14583550—21no—
54#14583526C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583524—21no—
57#14583524—21no—
58#14583523C2211yescharacteristic
59#14583519—21no—
60#14583514C2211yescharacteristic
61#14583505C2211yescharacteristic
62#14583500C2211yescharacteristic
63#14583496—21no—
64#14583495—21no—
65#14583472—21no—
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583434C2211yescharacteristic
70C2×#13063301—21no—
71C22⋊Q8×D43—21no—
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583262C2211yescharacteristic, complemented
88#14583261C2211yescharacteristic, complemented
89#14583261C2211yescharacteristic, complemented
90#14583259C2211yescharacteristic, complemented
91#14583257C2211yescharacteristic, complemented
92#14583254C2211yescharacteristic, complemented
93#14583252C2211yescharacteristic, complemented
94#14583247C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583243C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583226C2211yescharacteristic
100#14583226C2211yescharacteristic
101#14583225C2211yescharacteristic
102#14583225C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583219C2211yescharacteristic
106#14583216C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583209C2211yescharacteristic, complemented
109#14583207C2211yescharacteristic, complemented
110#14583205C2211yescharacteristic, complemented
111#14583205C2211yescharacteristic, complemented
112#14583202C2211yescharacteristic
113#14583202C2211yescharacteristic, complemented
114#14583200C2211yescharacteristic, complemented
115#14583199C2211yescharacteristic, complemented
116#14583199C2211yescharacteristic, complemented
117#14583198C2211yescharacteristic, complemented
118#14583198C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic, complemented
121#14583197C2211yescharacteristic
122#14583196C2211yescharacteristic
123#14583196C2211yescharacteristic
124#14583188C2211yescharacteristic
125#14583188C2211yescharacteristic
126#14583188C2211yescharacteristic, complemented
127#14583188C2211yescharacteristic, complemented
128#14583187C2211yescharacteristic
129#14583186C2211yescharacteristic, complemented
130#14583186C2211yescharacteristic, complemented
131#14583183C2211yescharacteristic, complemented
132#14583181C2211yescharacteristic, complemented
133#14583180C2211yescharacteristic, complemented
134#14583179C2211yescharacteristic, complemented
135#14583178C2211yescharacteristic, complemented
136#14583177C2211yescharacteristic
137#14583176C2211yescharacteristic
138#14583115C2211yescharacteristic
139#14583115C2211yescharacteristic
140#14583114C2211yescharacteristic
141#14583114C2211yescharacteristic
142#14583113C2211yescharacteristic
143#14583112C2211yescharacteristic
144#14583095C2211yescharacteristic
145#14583094C2211yescharacteristic
146#14583093C2211yescharacteristic
147#14583093C2211yescharacteristic
148#14583092C2211yescharacteristic
149#14583092C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583034C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583031C2211yescharacteristic
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#14583010C2211yescharacteristic
164#14583010C2211yescharacteristic
165#14583009C2211yescharacteristic
166#14583009C2211yescharacteristic
167#14583009C2211yescharacteristic
168#14583009C2211yescharacteristic
169#14583008C2211yescharacteristic
170#14583008C2211yescharacteristic
171#14583001C2211yescharacteristic
172#14582998C2211yescharacteristic
173#14582996C2211yescharacteristic
174#14582996C2211yescharacteristic
175#14582986C2211yescharacteristic
176C4×#10621883C2211yescharacteristic
177C4×D344C2211yescharacteristic
178#14582981C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#554C2211yescharacteristic, complemented
189D4×Q8×C43C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#498C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#476C2211yescharacteristic
196C43×#476C2211yescharacteristic, complemented
197C43×#476C2211yescharacteristic, complemented
198C43×#474C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#442C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621873C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×D344C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216#13063325C2311yescharacteristic
217#13063324—21no—
218#13063324D411yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063323—21no—
224#13063323—21no—
225#13063323D411yescharacteristic
226#13063322C2311yescharacteristic
227#13063321C2311yescharacteristic
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063318—21no—
232#13063317C2311yescharacteristic
233#13063317C2311yescharacteristic
234#13063316C2311yescharacteristic
235#13063316C2311yescharacteristic
236#13063316C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063315—21no—
240#13063315—21no—
241#13063315—21no—
242#13063315—21no—
243#13063315D411yescharacteristic
244#13063315D411yescharacteristic
245#13063314—21no—
246#13063314—21no—
247#13063313C2311yescharacteristic
248#13063313C2311yescharacteristic
249#13063312C2311yescharacteristic
250#13063311—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063308—21no—
261#13063308—21no—
262#13063308—21no—
263#13063308—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305D411yescharacteristic
272#13063305C2311yescharacteristic
273#13063304—21no—
274#13063304—21no—
275#13063304—21no—
276#13063304—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063303D411yescharacteristic
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301D411yescharacteristic
307#13063300—21no—
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299—21no—
312#13063299—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063296C2311yescharacteristic
318Q8×Dic43—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335#13063287—21no—
336#13063287—21no—
337#13063287C2311yescharacteristic
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353#13063283—21no—
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
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#13063259C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063256C2311yescharacteristic
381#13063256C2311yescharacteristic
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#13063248C2311yescharacteristic
400#13063248C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
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×D8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C2×C4⋊C4×C43—21no—
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×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×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502Q8×D43—82no—
503Q8×D43—82no—
504D4×D43—22no—
505D4×D43—22no—
506#10621898—82no—
507#10621898—82no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172C2411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—82no—
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2×D411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2411yescharacteristic
541D8×C43—22no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C42×C43C2411yescharacteristic
570C42×C43C2411yescharacteristic
571C42×C43C2411yescharacteristic
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578#10621883—22no—
579#10621882—22no—
580#10621882—22no—
581#10621882—22no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662D344—22no—
663D344—22no—
664#10621873—22no—
665C23×C43—21no—
666C23×C43—21no—
667C22×D43—21no—
668C22×D43—24no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—81no—
672C22×D43—81no—
673C22×D43C22×D411yescharacteristic
674Q8×C43—41no—
675Q8×C43—42no—
676Q8×C43—81no—
677Q8×C43—81no—
678Q8×C43—81no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—21no—
682D4×C432−1+412yes—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—42no—
690C2×C4×C43—81no—
691C2×C4×C43—81no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43—81no—
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C2511yescharacteristic
702C22⋊D43—24no—
703C22⋊D43—42no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—81no—
714C2×Dic43—81no—
715C2×Dic43—81no—
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723D172—21no—
724D172—21no—
725D172—21no—
726D172—21no—
727D172—21no—
728D172—81no—
729D172—81no—
730D172—81no—
731D172—81no—
732D1722−1+412yes—
733C4×D43—21no—
734C4×D43—21no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750Dic86—21no—
751Dic86—21no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—42no—
756Dic86—81no—
757Dic86—81no—
758Dic86—81no—
759Dic86—81no—
760C8×C43—21no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768#61872—431nomaximal, Sylow
769C22×C43—22no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43C23×D411yescharacteristic
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—22no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—84no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43C2×2−1+411yescharacteristic
802C4×C43C2×2−1+411yescharacteristic
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815#3554—431no—
816#3501—431no—
817#3389—431no—
818#3389—431no—
819#3388—431no—
820#3388—431no—
821#3384—431no—
822#3384—431no—
823#3384—431no—
824#3384D4311yescharacteristic, complemented
825#3373—431no—
826#3373—431no—
827#3370—431no—
828#3370—431no—
829#3370—431no—
830#3370—431no—
831#3366—431no—
832#3366—431no—
833#3244—431no—
834#3244—431no—
835#3241—431no—
836#3241—431no—
837#3240—431no—
838#3235—431no—
839#3122—431no—
840#3122—431no—
841#3118—431no—
842#3118—431no—
843#3114—431no—
844#3109—431no—
845#2987—431no—
846C2×C43—42no—
847C2×C43—81no—
848C2×C43#348611yescharacteristic
849C2×C43#358511yescharacteristic
850C2×C43#358511yescharacteristic
851D43—41no—
852D43—42no—
853D43—81no—
854D43—81no—
855#562—861no—
856#562—861no—
857#559—431no—
858#559—431no—
859#559—431no—
860#557—431no—
861#554—431no—
862#554—431no—
863#554—431no—
864#554—431no—
865#554—431no—
866#554—431no—
867#554—431no—
868#554—861no—
869#554—861no—
870#554—861no—
871#554C2×D4311yescharacteristic, complemented
872#550—431no—
873D4×Q8—431no—
874D4×Q8—431no—
875D4×Q8—861no—
876D4×Q8C2×D4311yescharacteristic
877#548—861no—
878#547—861no—
879#544—431no—
880#544—431no—
881#543—861no—
882#543—861no—
883#542—431no—
884#542—431no—
885#542—861no—
886#540—431no—
887#540—431no—
888#539—861no—
889#539—861no—
890#536—861no—
891#533—431no—
892#533—431no—
893#532—431no—
894#529—431no—
895C2×C22⋊Q8—861no—
896C2×C22⋊Q8—861no—
897#518—431no—
898#518—431no—
899C2×C4×D4—431no—
900#501—431no—
901#501—431no—
902#501—431no—
903#501—431no—
904#501—431no—
905#501—431no—
906#501C2×D4311yescharacteristic, complemented
907#501C2×D4311yescharacteristic, complemented
908#499—431no—
909#499—431no—
910#498—431no—
911#498C2×D4311yescharacteristic, complemented
912#490—431no—
913#490—431no—
914#490—431no—
915#490—431no—
916#489—431no—
917#489—431no—
918#489—431no—
919#489—431no—
920#488—431no—
921#488—431no—
922#486—431no—
923#486—431no—
924#485—431no—
925#485—431no—
926#483—431no—
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#481—431no—
935#480—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#478—431no—
941#478—431no—
942#478—431no—
943#478—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478C2×D4311yescharacteristic
953#478C2×D4311yescharacteristic
954#476—431no—
955#476—431no—
956#476—431no—
957#476—431no—
958#476—431no—
959#476—431no—
960#476—431no—
961#476C2×D4311yescharacteristic
962#476C2×D4311yescharacteristic, complemented
963#476C2×D4311yescharacteristic, complemented
964#475—431no—
965#475—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#474C2×D4311yescharacteristic, complemented
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463—431no—
978#459—431no—
979#459—431no—
980#459—431no—
981#459—431no—
982#459—431no—
983#459—431no—
984#450—431no—
985#447—431no—
986#447—431no—
987#447—431no—
988#446—431no—
989#446—431no—
990#446—431no—
991#446—431no—
992#446—431no—
993#446—431no—
994#446—431no—
995#446C2×D4311yescharacteristic, complemented
996#442—431no—
997#442—431no—
998#442—431no—
999#442—431no—
1000#442—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#442C2×D4311yescharacteristic
1007#442C2×D4311yescharacteristic
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×D8—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017C4×D8—431no—
1018C4×D8—431no—
1019C4×D8C2×D4311yescharacteristic
1020#433—431no—
1021#433—431no—
1022#433—431no—
1023#433—431no—
1024#432—431no—
1025#432—431no—
1026C43#6187211yescharacteristic, complemented, Sylow
1027C2×#41—861no—
1028C2×#41—861no—
1029C22×Q8—21no—
1030C22×Q8—861no—
1031C22×Q8—861no—
1032C22×D4—431no—
1033C23×C4—861no—
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×D8—431no—
1037C2×D8—431no—
1038C2×D8—431no—
1039C2×D8—431no—
1040C2×D8—431no—
1041C2×D8C22×D4311yescharacteristic
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8C22×D4311yescharacteristic
1053C4⋊Q8C22×D4311yescharacteristic
1054C4⋊Q8C22×D4311yescharacteristic
1055C4⋊Q8C22×D4311yescharacteristic
1056#127—431no—
1057#127—431no—
1058#127—431no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#125—431no—
1063#125—431no—
1064#125—431no—
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#124—431no—
1078#124—431no—
1079#124—431no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124—861no—
1085#124—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
1109C22⋊Q8—431no—
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—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4C22×D4311yescharacteristic
1193C4×D4C22×D4311yescharacteristic
1194C4×D4C22×D4311yescharacteristic
1195C4×D4C22×D4311yescharacteristic
1196C4×D4C22×D4311yescharacteristic
1197C4×D4C22×D4311yescharacteristic
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—861no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—861no—
1206C2×C4⋊C4—861no—
1207C2×C4⋊C4—861no—
1208C2×C4⋊C4—861no—
1209C2×C4⋊C4—861no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C22⋊C4—861no—
1213C2×C22⋊C4—861no—
1214C2×C22⋊C4—861no—
1215C2×C22⋊C4—861no—
1216C2×C22⋊C4—861no—
1217C2×C42—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107—431no—
1222#107—431no—
1223#107—431no—
1224#107—431no—
1225#107C22×D4311yescharacteristic
1226#107C22×D4311yescharacteristic
1227#107C22×D4311yescharacteristic
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106C22×D4311yescharacteristic
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240#106C22×D4311yescharacteristic
1241#106C22×D4311yescharacteristic
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8—431no—
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8C22×D4311yescharacteristic
1252C4⋊C8C22×D4311yescharacteristic
1253C4⋊C8C22×D4311yescharacteristic
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102C22×D4311yescharacteristic
1281#102C22×D4311yescharacteristic
1282#102C22×D4311yescharacteristic
1283#102C22×D4311yescharacteristic
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286C22⋊C8—431no—
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290#97—431no—
1291#97—431no—
1292#97—431no—
1293#97—431no—
1294#97—431no—
1295#97—431no—
1296#97C22×D4311yescharacteristic
1297#97C22×D4311yescharacteristic
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8C22×D4311yescharacteristic
1302C24—861no—
1303#41—3442no—
1304#41—3442no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—21no—
1309C2×Q8—82no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—431no—
1313C2×Q8—431no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—861no—
1319C2×Q8—3442no—
1320C2×Q8—3442no—
1321C2×Q8D4×D4311yescharacteristic
1322C2×D4—431no—
1323C2×D4—431no—
1324C2×D4—431no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4C23×D4311yescharacteristic
1338C2×D4C23×D4311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—431no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—3442no—
1365SD16—862no—
1366SD16—862no—
1367D8—22no—
1368D8—862no—
1369D8—862no—
1370D8—862no—
1371D8—862no—
1372D8—862no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8C23×D4311yescharacteristic
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
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—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C42—431no—
1477C42—431no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42C23×D4311yescharacteristic
1487C42C23×D4311yescharacteristic
1488C42C23×D4311yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—431no—
1492C23—864no—
1493C23—861no—
1494C23—861no—
1495C23—861no—
1496C23—3441no—
1497C23—3441no—
1498Q8—41no—
1499Q8—42no—
1500Q8—81no—
1501Q8—81no—
1502Q8—81no—
1503Q8—861no—
1504Q8—861no—
1505Q8—3441no—
1506Q8—3441no—
1507Q8—3441no—
1508Q8—3441no—
1509Q8—1721no—
1510Q8—1721no—
1511Q8—1721no—
1512Q8—1722no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—432no—
1517D4—864no—
1518D4—861no—
1519D4—861no—
1520D4—861no—
1521D4—861no—
1522D4—861no—
1523D4—3441no—
1524D4—3441no—
1525D4—3441no—
1526D4—3441no—
1527D4—3441no—
1528D4—3441no—
1529D4—3441no—
1530D4—3441no—
1531D4—1722no—
1532D4#1306337312yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—1721no—
1574C2×C4—1721no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4C2×D4×D4311yescharacteristic
1578C2×C4C2×D4×D4311yescharacteristic
1579C2×C4C2×D4×D4311yescharacteristic
1580C2×C4C2×D4×D4311yescharacteristic
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C24×D4311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—861no—
1589C8—861no—
1590C8—861no—
1591C8—861no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—861no—
1599C22—861no—
1600C22—861no—
1601C22—862no—
1602C22—3444no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22C22×D4×D4311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—861no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C42−1+4×D4311yescharacteristic
1637C4C2×#1306337311yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—3441no—
1641C2—3441no—
1642C2—1721no—
1643C2—1722no—
1644C2#1914824511yescharacteristic
1645C2#1914937111yescharacteristic
1646C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3384C2
socleC22×C43C23×D4
hypercenter#3384D43
hypocenterC43#61872
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #19149058C2semidirect
2. #19148390C2semidirect
3. #19147552C2semidirect
4. #19147549C2semidirect
5. #19147544C2semidirect
6. #19147539C2semidirect
7. #19147499C2semidirect
8. #19147491C2semidirect
9. #19147489C2semidirect
10. #19147390C2semidirect
11. #19147387C2semidirect
12. #19147355C2semidirect
13. #19147353C2semidirect
14. #19147350C2semidirect
15. #19147344C2semidirect
16. #19147303C2semidirect
17. #19147301C2semidirect
18. #19145896C2semidirect
19. #19145890C2semidirect
20. #19145855C2semidirect
21. #19145849C2semidirect
22. #19145838C2semidirect
23. #19145791C2semidirect
24. #19144840C2semidirect
25. #19144835C2semidirect
26. #19144784C2semidirect
27. #19144777C2semidirect
28. #19144738C2semidirect
29. #19144684C2semidirect
30. #19143698C2semidirect
31. C43×#3384C2semidirect
34. #14583634C22semidirect
35. #14583632C22semidirect
36. #14583632C22semidirect
37. #14583626C22semidirect
45. #14583605C22semidirect
48. #14583570C22semidirect
50. #14583564C22semidirect
75. #14583309C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583264C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583262C22semidirect
88. #14583261C22semidirect
89. #14583261C22semidirect
90. #14583259C22semidirect
91. #14583257C22semidirect
92. #14583254C22semidirect
93. #14583252C22semidirect
94. #14583247C22semidirect
95. #14583244C22semidirect
108. #14583209C22semidirect
109. #14583207C22semidirect
110. #14583205C22semidirect
111. #14583205C22semidirect
113. #14583202C22semidirect
114. #14583200C22semidirect
115. #14583199C22semidirect
116. #14583199C22semidirect
117. #14583198C22semidirect
118. #14583198C22semidirect
119. #14583198C22semidirect
120. #14583198C22semidirect
126. #14583188C22semidirect
127. #14583188C22semidirect
129. #14583186C22semidirect
130. #14583186C22semidirect
131. #14583183C22semidirect
132. #14583181C22semidirect
133. #14583180C22semidirect
134. #14583179C22semidirect
135. #14583178C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
188. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#498C22semidirect
196. C43×#476C22semidirect
197. C43×#476C22semidirect
198. C43×#474C22semidirect
199. C43×#446C22semidirect
824. #3384D43semidirect
871. #554C2×D43semidirect
906. #501C2×D43semidirect
907. #501C2×D43semidirect
911. #498C2×D43semidirect
962. #476C2×D43semidirect
963. #476C2×D43semidirect
971. #474C2×D43semidirect
995. #446C2×D43semidirect
1026. C43#61872semidirect

Maximal subgroups

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

subgroupindex
#191490582
#191483902
#191475522
#191475492
#191475442
#191475392
#191474992
#191474912
#191474892
#191473902
#191473872
#191473552
#191473532
#191473502
#191473442
#191473032
#191473012
#191458962
#191458902
#191458552
#191458492
#191458382
#191457912
#191448402
#191448352
#191447842
#191447772
#191447382
#191446842
#191436982
C43×#33842
#6187243