Finite Group Databasebeta

← #25987273

Subgroups — #25987273

Order 11008.

1730 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149058C211yesmaximal, characteristic, complemented
2#19148394C211yesmaximal, characteristic, complemented
3#19147553C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147491C211yesmaximal, characteristic, complemented
6#19147465C211yesmaximal, characteristic, complemented
7#19147459C211yesmaximal, characteristic, complemented
8#19147458C211yesmaximal, characteristic, complemented
9#19147445C211yesmaximal, characteristic, complemented
10#19147388C211yesmaximal, characteristic, complemented
11#19147350C211yesmaximal, characteristic, complemented
12#19147346C211yesmaximal, characteristic, complemented
13#19147303C211yesmaximal, characteristic, complemented
14#19147258C211yesmaximal, characteristic, complemented
15#19147256C211yesmaximal, characteristic, complemented
16#19147255C211yesmaximal, characteristic, complemented
17#19147229C211yesmaximal, characteristic, complemented
18#19145879C211yesmaximal, characteristic, complemented
19#19145875C211yesmaximal, characteristic, complemented
20#19145849C211yesmaximal, characteristic, complemented
21#19145845C211yesmaximal, characteristic, complemented
22#19145775C211yesmaximal, characteristic, complemented
23#19145730C211yesmaximal, characteristic, complemented
24#19144840C211yesmaximal, characteristic, complemented
25#19144837C211yesmaximal, characteristic, complemented
26#19144786C211yesmaximal, characteristic, complemented
27#19144777C211yesmaximal, characteristic, complemented
28#19144647C211yesmaximal, characteristic, complemented
29#19144593C211yesmaximal, characteristic, complemented
30#19143693C211yesmaximal, characteristic, complemented
31C43×#3389C211yesmaximal, characteristic, complemented
32#14583645—21no—
33#14583645—21no—
34#14583634C2211yescharacteristic, complemented
35#14583632C2211yescharacteristic, complemented
36#14583632C2211yescharacteristic, complemented
37#14583626C2211yescharacteristic, complemented
38#14583609C2211yescharacteristic
39#14583608C2211yescharacteristic
40#14583608C2211yescharacteristic
41#14583605C2211yescharacteristic
42#14583605C2211yescharacteristic
43#14583605C2211yescharacteristic, complemented
44#14583604—21no—
45#14583603—21no—
46#14583603—21no—
47#14583570C2211yescharacteristic, complemented
48D4×Dic86C2211yescharacteristic
49#14583564C2211yescharacteristic
50#14583564C2211yescharacteristic, complemented
51#14583562—21no—
52#14583559—21no—
53#14583550—21no—
54#14583529C2211yescharacteristic
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#14583455C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583434C2211yescharacteristic
70C2×#13063303—21no—
71C22⋊Q8×D43—21no—
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583303C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583302C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583298C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583259C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583256C2211yescharacteristic, complemented
90#14583254C2211yescharacteristic, complemented
91#14583252C2211yescharacteristic, complemented
92#14583247C2211yescharacteristic, complemented
93#14583244C2211yescharacteristic, complemented
94#14583244C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583242C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583226C2211yescharacteristic
100#14583226C2211yescharacteristic
101#14583225C2211yescharacteristic
102#14583225C2211yescharacteristic
103#14583222C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583219C2211yescharacteristic
106#14583214C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583209C2211yescharacteristic, complemented
109#14583207C2211yescharacteristic, complemented
110#14583202C2211yescharacteristic, complemented
111#14583201C2211yescharacteristic
112#14583200C2211yescharacteristic, complemented
113#14583199C2211yescharacteristic, complemented
114#14583199C2211yescharacteristic, complemented
115#14583198C2211yescharacteristic
116#14583198C2211yescharacteristic, complemented
117#14583198C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic
119#14583196C2211yescharacteristic
120#14583196C2211yescharacteristic, complemented
121#14583196C2211yescharacteristic, complemented
122#14583193C2211yescharacteristic, complemented
123#14583193C2211yescharacteristic, complemented
124#14583191C2211yescharacteristic, complemented
125#14583189C2211yescharacteristic, complemented
126#14583188C2211yescharacteristic
127#14583188C2211yescharacteristic, complemented
128#14583188C2211yescharacteristic, complemented
129#14583186C2211yescharacteristic
130#14583183C2211yescharacteristic, complemented
131#14583180C2211yescharacteristic, complemented
132#14583178C2211yescharacteristic
133#14583178C2211yescharacteristic, complemented
134#14583178C2211yescharacteristic, complemented
135#14583178C2211yescharacteristic, complemented
136#14583177C2211yescharacteristic
137#14583177C2211yescharacteristic
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#14583027C2211yescharacteristic, complemented
155#14583027C2211yescharacteristic, complemented
156#14583026C2211yescharacteristic, complemented
157Q8×C43⋊C8C2211yescharacteristic, complemented
158C8×Dic86C2211yescharacteristic, complemented
159#14583023C2211yescharacteristic, complemented
160#14583023C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583010C2211yescharacteristic
163#14583008C2211yescharacteristic
164#14583008C2211yescharacteristic
165#14583001C2211yescharacteristic
166#14582998C2211yescharacteristic
167#14582990C2211yescharacteristic
168#14582990C2211yescharacteristic
169#14582986C2211yescharacteristic
170C4×#10621883C2211yescharacteristic
171C4×D344C2211yescharacteristic
172#14582981C2211yescharacteristic
173#14582981C2211yescharacteristic
174#14582981C2211yescharacteristic
175C4×#10621882C2211yescharacteristic
176C4×#10621882C2211yescharacteristic
177C4×#10621882C2211yescharacteristic
178C4×#10621882C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582961C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582959C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#554C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#499C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#474C2211yescharacteristic
198C43×#474C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#442C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C22×Dic86—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×D344C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063324—21no—
219#13063324—21no—
220#13063324D411yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323D411yescharacteristic
229#13063322C2311yescharacteristic
230#13063321C2311yescharacteristic
231#13063321C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063318—21no—
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063315—21no—
241#13063315—21no—
242#13063315—21no—
243#13063315—21no—
244#13063315D411yescharacteristic
245#13063315D411yescharacteristic
246#13063314—21no—
247#13063314—21no—
248#13063313C2311yescharacteristic
249#13063313C2311yescharacteristic
250#13063312C2311yescharacteristic
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063310—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063308—21no—
262#13063308—21no—
263#13063308—21no—
264#13063308—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305D411yescharacteristic
273#13063305C2311yescharacteristic
274#13063304—21no—
275#13063304—21no—
276#13063304—21no—
277#13063304—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#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303D411yescharacteristic
295#13063303D411yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301D411yescharacteristic
308#13063300—21no—
309#13063300—21no—
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063296C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287—21no—
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282C2311yescharacteristic
358#13063282C2311yescharacteristic
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#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
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#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#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C4×C43⋊C8C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×D8×C43C2311yescharacteristic
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#125×C43C2311yescharacteristic
439#125×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442C22⋊Q8×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43C2311yescharacteristic
450C4×D4×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C2×C4⋊C4×C43—21no—
456C2×C4⋊C4×C43—21no—
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×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×C43C2×D411yescharacteristic
482C2×D4×C43C2411yescharacteristic
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499Q8×D43—82no—
500Q8×D43—82no—
501D4×D43—22no—
502D4×D43—22no—
503#10621898—82no—
504#10621898—82no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172C2411yescharacteristic
510C2×D172C2411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
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—82no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—82no—
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×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580#10621883—22no—
581#10621882—22no—
582#10621882—22no—
583#10621882—22no—
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)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
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—81no—
676Q8×C43—81no—
677D4×C43—21no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C432−1+412yes—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—81no—
688C2×C4×C43—81no—
689C2×C4×C43—81no—
690C2×C4×C43—81no—
691C2×C4×C43—81no—
692C2×C4×C43—81no—
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C2511yescharacteristic
700C22⋊D43—24no—
701C22⋊D43—42no—
702C22⋊D43—81no—
703C22⋊D43—81no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—42no—
712C2×Dic43—81no—
713C2×Dic43—81no—
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721D172—21no—
722D172—21no—
723D172—21no—
724D172—21no—
725D172—21no—
726D172—81no—
727D172—81no—
728D172—81no—
729D172—81no—
730D1722−1+412yes—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—22no—
734C4×D43—41no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—81no—
738C4×D43—81no—
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—
748Dic86—22no—
749Dic86—22no—
750Dic86—21no—
751Dic86—21no—
752Dic86—41no—
753Dic86—42no—
754Dic86—42no—
755Dic86—81no—
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#61863—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—22no—
779C2×D43—21no—
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—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43#57612yes—
815#3554—431no—
816#3501—431no—
817#3389—431no—
818#3389D4311yescharacteristic, complemented
819#3386—431no—
820#3384—431no—
821#3381—431no—
822#3380—431no—
823#3380—431no—
824Q8×D8—431no—
825#3373—431no—
826#3370—431no—
827#3370—431no—
828#3366—431no—
829#3361—431no—
830#3361—431no—
831#3361—431no—
832#3358—431no—
833#3243—431no—
834#3243—431no—
835#3241—431no—
836#3241—431no—
837#3233—431no—
838#3228—431no—
839#3122—431no—
840#3122—431no—
841#3118—431no—
842#3118—431no—
843#3105—431no—
844#3100—431no—
845#2986—431no—
846C2×C43—42no—
847C2×C43—81no—
848C2×C43#348611yescharacteristic
849C2×C43C2×#57611yescharacteristic
850C2×C43#358411yescharacteristic
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—861no—
868#554—861no—
869#554—861no—
870#554C2×D4311yescharacteristic
871#554C2×D4311yescharacteristic, complemented
872#550—431no—
873D4×Q8—431no—
874D4×Q8—431no—
875D4×Q8—431no—
876D4×Q8—861no—
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#501C2×D4311yescharacteristic, complemented
903#501C2×D4311yescharacteristic, complemented
904#500—431no—
905#500—431no—
906#500—431no—
907#499—431no—
908#499—431no—
909#499—431no—
910#499C2×D4311yescharacteristic, complemented
911#498—431no—
912#490—431no—
913#490—431no—
914#489—431no—
915#489—431no—
916#488—431no—
917#488—431no—
918#488—431no—
919#488—431no—
920#486—431no—
921#486—431no—
922#486—431no—
923#486—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#480—431no—
935#480—431no—
936#479—431no—
937#479—431no—
938#478—431no—
939#478—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#478C2×D4311yescharacteristic
951#478C2×D4311yescharacteristic
952#478C2×D4311yescharacteristic, complemented
953#478C2×D4311yescharacteristic, complemented
954#477—431no—
955#477—431no—
956#477—431no—
957#476—431no—
958#476—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#475—431no—
963#474—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474C2×D4311yescharacteristic
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#446C2×D4311yescharacteristic, complemented
992C8×Q8—431no—
993C8×Q8—431no—
994C8×Q8—431no—
995C8×Q8—431no—
996#442—431no—
997#442—431no—
998#442—431no—
999#442—431no—
1000#442C2×D4311yescharacteristic
1001#442C2×D4311yescharacteristic
1002#440—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×D8—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012C4×D8—431no—
1013C4×D8—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#431—431no—
1025#431—431no—
1026C43#6186311yescharacteristic, complemented, Sylow
1027C2×#41—861no—
1028C2×#41—861no—
1029C22×Q8—861no—
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—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
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—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
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—21no—
1205C2×C4⋊C4—431no—
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#107—431no—
1226#107—431no—
1227#107C22×D4311yescharacteristic
1228#107C22×D4311yescharacteristic
1229#107C22×D4311yescharacteristic
1230#107C22×D4311yescharacteristic
1231#107C22×D4311yescharacteristic
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106—431no—
1237#106—431no—
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#97C22×D4311yescharacteristic
1293#97C22×D4311yescharacteristic
1294C4×C8—431no—
1295C4×C8—431no—
1296C4×C8—431no—
1297C4×C8—431no—
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—431no—
1308C2×Q8—431no—
1309C2×Q8—431no—
1310C2×Q8—431no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—3442no—
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—21no—
1390C4⋊C4—21no—
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—431no—
1407C4⋊C4—431no—
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—81no—
1500Q8—81no—
1501Q8—862no—
1502Q8—862no—
1503Q8—861no—
1504Q8—861no—
1505Q8—3441no—
1506Q8—3441no—
1507Q8—3441no—
1508Q8—3441no—
1509Q8—3441no—
1510Q8—1721no—
1511Q8—1722no—
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—81no—
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—862no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
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—1722no—
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—432no—
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#576×D4311yescharacteristic
1646C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3389C2
socleC22×C43C23×D4
hypercenter#3389D43
hypocenterC43#61863
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #19149058C2semidirect
2. #19148394C2semidirect
3. #19147553C2semidirect
4. #19147513C2semidirect
5. #19147491C2semidirect
6. #19147465C2semidirect
7. #19147459C2semidirect
8. #19147458C2semidirect
9. #19147445C2semidirect
10. #19147388C2semidirect
11. #19147350C2semidirect
12. #19147346C2semidirect
13. #19147303C2semidirect
14. #19147258C2semidirect
15. #19147256C2semidirect
16. #19147255C2semidirect
17. #19147229C2semidirect
18. #19145879C2semidirect
19. #19145875C2semidirect
20. #19145849C2semidirect
21. #19145845C2semidirect
22. #19145775C2semidirect
23. #19145730C2semidirect
24. #19144840C2semidirect
25. #19144837C2semidirect
26. #19144786C2semidirect
27. #19144777C2semidirect
28. #19144647C2semidirect
29. #19144593C2semidirect
30. #19143693C2semidirect
31. C43×#3389C2semidirect
34. #14583634C22semidirect
35. #14583632C22semidirect
36. #14583632C22semidirect
37. #14583626C22semidirect
43. #14583605C22semidirect
47. #14583570C22semidirect
50. #14583564C22semidirect
75. #14583307C22semidirect
76. #14583306C22semidirect
77. #14583303C22semidirect
78. #14583303C22semidirect
79. #14583302C22semidirect
80. #14583300C22semidirect
81. #14583298C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583264C22semidirect
85. #14583262C22semidirect
86. #14583259C22semidirect
87. #14583257C22semidirect
88. #14583256C22semidirect
89. #14583256C22semidirect
90. #14583254C22semidirect
91. #14583252C22semidirect
92. #14583247C22semidirect
93. #14583244C22semidirect
94. #14583244C22semidirect
95. #14583244C22semidirect
108. #14583209C22semidirect
109. #14583207C22semidirect
110. #14583202C22semidirect
112. #14583200C22semidirect
113. #14583199C22semidirect
114. #14583199C22semidirect
116. #14583198C22semidirect
117. #14583198C22semidirect
120. #14583196C22semidirect
121. #14583196C22semidirect
122. #14583193C22semidirect
123. #14583193C22semidirect
124. #14583191C22semidirect
125. #14583189C22semidirect
127. #14583188C22semidirect
128. #14583188C22semidirect
130. #14583183C22semidirect
131. #14583180C22semidirect
133. #14583178C22semidirect
134. #14583178C22semidirect
135. #14583178C22semidirect
154. #14583027C22semidirect
155. #14583027C22semidirect
156. #14583026C22semidirect
157. Q8×C43⋊C8C22semidirect
158. C8×Dic86C22semidirect
159. #14583023C22semidirect
160. #14583023C22semidirect
189. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#499C22semidirect
195. C43×#478C22semidirect
196. C43×#478C22semidirect
198. C43×#474C22semidirect
199. C43×#446C22semidirect
818. #3389D43semidirect
871. #554C2×D43semidirect
902. #501C2×D43semidirect
903. #501C2×D43semidirect
910. #499C2×D43semidirect
952. #478C2×D43semidirect
953. #478C2×D43semidirect
971. #474C2×D43semidirect
991. #446C2×D43semidirect
1026. C43#61863semidirect

Maximal subgroups

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

subgroupindex
#191490582
#191483942
#191475532
#191475132
#191474912
#191474652
#191474592
#191474582
#191474452
#191473882
#191473502
#191473462
#191473032
#191472582
#191472562
#191472552
#191472292
#191458792
#191458752
#191458492
#191458452
#191457752
#191457302
#191448402
#191448372
#191447862
#191447772
#191446472
#191445932
#191436932
C43×#33892
#6186343