Finite Group Databasebeta

← #25987371

Subgroups — #25987371

Order 11008.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149102C211yesmaximal, characteristic, complemented
2#19148415C211yesmaximal, characteristic, complemented
3#19147559C211yesmaximal, characteristic, complemented
4#19147553C211yesmaximal, characteristic, complemented
5#19147539C211yesmaximal, characteristic, complemented
6#19147482C211yesmaximal, characteristic, complemented
7#19147467C211yesmaximal, characteristic, complemented
8#19147465C211yesmaximal, characteristic, complemented
9#19147461C211yesmaximal, characteristic, complemented
10#19147435C211yesmaximal, characteristic, complemented
11#19147427C211yesmaximal, characteristic, complemented
12#19147365C211yesmaximal, characteristic, complemented
13#19147349C211yesmaximal, characteristic, complemented
14#19147290C211yesmaximal, characteristic, complemented
15#19147283C211yesmaximal, characteristic, complemented
16#19147255C211yesmaximal, characteristic, complemented
17#19147245C211yesmaximal, characteristic, complemented
18#19145900C211yesmaximal, characteristic, complemented
19#19145879C211yesmaximal, characteristic, complemented
20#19145870C211yesmaximal, characteristic, complemented
21#19145849C211yesmaximal, characteristic, complemented
22#19145767C211yesmaximal, characteristic, complemented
23#19145764C211yesmaximal, characteristic, complemented
24#19144877C211yesmaximal, characteristic, complemented
25#19144861C211yesmaximal, characteristic, complemented
26#19144813C211yesmaximal, characteristic, complemented
27#19144799C211yesmaximal, characteristic
28#19144618C211yesmaximal, characteristic, complemented
29#19144617C211yesmaximal, characteristic, complemented
30#19143693C211yesmaximal, characteristic, complemented
31C43×#3388C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583626C2211yescharacteristic
38#14583626C2211yescharacteristic
39#14583626C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583621C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583610C2211yescharacteristic
44#14583608C2211yescharacteristic
45#14583608C2211yescharacteristic
46#14583607—21no—
47#14583606C2211yescharacteristic
48#14583605C2211yescharacteristic
49#14583604—21no—
50#14583603—21no—
51#14583603—21no—
52#14583590—21no—
53#14583581—21no—
54#14583529C2211yescharacteristic
55#14583528—21no—
56#14583528—21no—
57#14583526C2211yescharacteristic
58#14583523—21no—
59#14583523C2211yescharacteristic
60#14583521—21no—
61#14583521C2211yescharacteristic
62#14583507C2211yescharacteristic
63#14583505C2211yescharacteristic
64#14583497—21no—
65#14583497—21no—
66#14583453C2211yescharacteristic
67#14583451—21no—
68#14583436C2211yescharacteristic
69#14583434C2211yescharacteristic
70C2×#13063315—21no—
71#125×D43C2211yescharacteristic
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583307C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583302C2211yescharacteristic
78#14583300C2211yescharacteristic
79#14583299C2211yescharacteristic
80#14583299C2211yescharacteristic
81#14583298C2211yescharacteristic
82#14583298C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583266C2211yescharacteristic
85#14583264C2211yescharacteristic
86#14583260C2211yescharacteristic
87#14583259C2211yescharacteristic
88#14583256C2211yescharacteristic
89#14583256C2211yescharacteristic
90#14583255C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583254C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583247C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583233C2211yescharacteristic
100#14583231C2211yescharacteristic
101#14583228C2211yescharacteristic
102#14583226C2211yescharacteristic
103#14583225C2211yescharacteristic
104#14583219C2211yescharacteristic
105#14583219C2211yescharacteristic
106#14583214C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583209C2211yescharacteristic
109#14583209C2211yescharacteristic
110#14583209C2211yescharacteristic
111#14583207C2211yescharacteristic
112#14583206C2211yescharacteristic
113#14583206C2211yescharacteristic
114#14583205C2211yescharacteristic
115#14583205C2211yescharacteristic
116#14583203C2211yescharacteristic
117#14583203C2211yescharacteristic
118#14583202C2211yescharacteristic
119#14583202C2211yescharacteristic
120#14583201C2211yescharacteristic
121#14583201C2211yescharacteristic
122#14583200C2211yescharacteristic
123#14583198C2211yescharacteristic
124#14583198C2211yescharacteristic
125#14583198C2211yescharacteristic
126#14583196C2211yescharacteristic
127#14583196C2211yescharacteristic
128#14583193C2211yescharacteristic
129#14583193C2211yescharacteristic
130#14583191C2211yescharacteristic
131#14583190C2211yescharacteristic
132#14583188C2211yescharacteristic
133#14583184C2211yescharacteristic
134#14583181C2211yescharacteristic
135#14583178C2211yescharacteristic
136#14583178C2211yescharacteristic
137#14583177C2211yescharacteristic
138#14583124C2211yescharacteristic
139#14583124C2211yescharacteristic
140#14583122C2211yescharacteristic
141#14583122C2211yescharacteristic
142#14583116C2211yescharacteristic
143#14583116C2211yescharacteristic
144#14583114C2211yescharacteristic
145#14583114C2211yescharacteristic
146#14583108C2211yescharacteristic
147#14583102C2211yescharacteristic
148#14583100C2211yescharacteristic
149#14583094C2211yescharacteristic
150#14583062C2211yescharacteristic
151#14583058C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583045C2211yescharacteristic
154#14583027C2211yescharacteristic
155#14583027C2211yescharacteristic
156#14583026C2211yescharacteristic
157Q8×C43⋊C8C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159#14583023C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583008C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583007C2211yescharacteristic
164#14583005C2211yescharacteristic
165#14583001C2211yescharacteristic
166#14582998C2211yescharacteristic
167#14582993C2211yescharacteristic
168C4×#10621885C2211yescharacteristic
169C4×#10621885C2211yescharacteristic
170C4×#10621885C2211yescharacteristic
171#14582990C2211yescharacteristic
172#14582990C2211yescharacteristic
173C4×#10621873C2211yescharacteristic
174#14582986C2211yescharacteristic
175#14582986C2211yescharacteristic
176#14582986C2211yescharacteristic
177C4×#10621883C2211yescharacteristic
178C4×#10621882C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582961C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582959C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#557C2211yescharacteristic
189C43×#554C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#501C2211yescharacteristic
192C43×#499C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#479C2211yescharacteristic
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic
197C43×#476C2211yescharacteristic
198C43×#475C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×#10621885C2311yescharacteristic
206C2×#10621873C2311yescharacteristic
207C2×#10621873C2311yescharacteristic
208C2×#10621883C2311yescharacteristic
209C2×#10621882C2311yescharacteristic
210C2×#10621882C2311yescharacteristic
211#13063325C2311yescharacteristic
212#13063324—21no—
213#13063324—21no—
214#13063324—21no—
215#13063324—21no—
216#13063324D411yescharacteristic
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063323—21no—
221#13063323—21no—
222#13063323—21no—
223#13063323D411yescharacteristic
224#13063323C2311yescharacteristic
225#13063322C2311yescharacteristic
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063319—21no—
233#13063319—21no—
234#13063319—21no—
235#13063319—21no—
236#13063317—21no—
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063315D411yescharacteristic
262#13063314—21no—
263#13063314—21no—
264#13063314C2311yescharacteristic
265#13063314C2311yescharacteristic
266#13063313—21no—
267#13063313—21no—
268#13063313C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063305—21no—
281#13063305—21no—
282#13063305—21no—
283#13063305D411yescharacteristic
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304—21no—
287#13063304—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303D411yescharacteristic
296#13063303D411yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301D411yescharacteristic
308#13063301C2311yescharacteristic
309#13063300—21no—
310#13063300—21no—
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313Q8×Dic43—21no—
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287—21no—
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#13063283C2311yescharacteristic
351#13063282—21no—
352#13063282—21no—
353#13063282—21no—
354#13063282C2311yescharacteristic
355#13063282C2311yescharacteristic
356#13063281—21no—
357#13063281—21no—
358#13063281—21no—
359C2×C4⋊Dic43—21no—
360C2×Dic43⋊C4—21no—
361C2×Dic43⋊C4—21no—
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C2×C4×Dic43—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#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
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#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C4×C43⋊C8C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C4⋊Q8×C43—21no—
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×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#107×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#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
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43C2411yescharacteristic
483C22×C4×C43—21no—
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C2×C22⋊D43—21no—
487C22×Dic43—21no—
488C22×Dic43—21no—
489C22×Dic43—21no—
490C22×Dic43—21no—
491#10621900—22no—
492#10621900—22no—
493C2×D172—21no—
494C2×D172—21no—
495C2×D172—21no—
496C2×D172—21no—
497C2×D172C2411yescharacteristic
498C2×D172C2411yescharacteristic
499C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519SD16×C43—22no—
520C2×C8×C43C2411yescharacteristic
521C2×C8×C43C2411yescharacteristic
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C4⋊C4×C43—21no—
525C4⋊C4×C43—21no—
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
538C4⋊C4×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C42×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43C2411yescharacteristic
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C22⋊Dic43—21no—
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558#10621885—22no—
559#10621883—22no—
560#10621882—22no—
561#10621882—22no—
562(C2×D43)⋊C4—21no—
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
582(C2×D43)⋊C4C2×D411yescharacteristic
583(C2×D43)⋊C4C2×D411yescharacteristic
584(C2×D43)⋊C4C2×D411yescharacteristic
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43C2×D411yescharacteristic
594C4⋊Dic43C2×D411yescharacteristic
595C4⋊Dic43C2×D411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597C4⋊Dic43C2411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656Dic172—22no—
657#10621873—22no—
658#10621873—22no—
659C23×C43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43C22×D411yescharacteristic
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—41no—
666Q8×C43—81no—
667Q8×C43—81no—
668D4×C43—21no—
669D4×C432−1+412yes—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—81no—
678C2×C4×C43—81no—
679C2×C4×C43—81no—
680C2×C4×C43C22×D411yescharacteristic
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C2511yescharacteristic
687C22⋊D43—24no—
688C2×Dic43—24no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—81no—
696C2×Dic43—81no—
697C2×Dic43—81no—
698C2×Dic43C22×D411yescharacteristic
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705D172—21no—
706D172—21no—
707D172—21no—
708D172—21no—
709D172—81no—
710D172—81no—
711D172—81no—
712D172—81no—
713C4×D43—21no—
714C4×D43—21no—
715C4×D43—41no—
716C4×D43—41no—
717C4×D43—81no—
718C4×D43—81no—
719C4×D43—81no—
720C4×D43—81no—
721C4×D43—81no—
722C4×D43—81no—
723C4×D43—81no—
724C4×D43—81no—
725Dic86—21no—
726Dic86—21no—
727Dic86—21no—
728Dic86—41no—
729Dic86—41no—
730Dic86—41no—
731Dic86—81no—
732Dic86—81no—
733Dic86—81no—
734Dic86—81no—
735Dic862−1+412yes—
736C8×C43—21no—
737C8×C43—21no—
738C8×C43—21no—
739C8×C43—21no—
740C43⋊C8—21no—
741C43⋊C8—21no—
742C43⋊C8—21no—
743C43⋊C8—21no—
744#61867—431nomaximal, Sylow
745C22×C43—22no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43C23×D411yescharacteristic
749C2×D43—21no—
750C2×D43—21no—
751C2×D43—21no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C4×C43—21no—
759C4×C43—21no—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—21no—
763C4×C43—21no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43C2×2−1+411yescharacteristic
772C4×C43C2×2−1+411yescharacteristic
773Dic43—21no—
774Dic43—21no—
775Dic43—21no—
776Dic43—21no—
777Dic43—21no—
778Dic43—21no—
779Dic43—22no—
780Dic43—21no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786#3557—431no—
787#3504—431no—
788#3390—431no—
789#3389—431no—
790#3388—431no—
791#3388D4311yescharacteristic, complemented
792#3383—431no—
793#3381—431no—
794#3381—431no—
795#3380—431no—
796#3377—431no—
797#3376—431no—
798#3371—431no—
799#3370—431no—
800#3365—431no—
801#3364—431no—
802#3361—431no—
803#3360—431no—
804#3244—431no—
805#3243—431no—
806#3242—431no—
807#3241—431no—
808#3232—431no—
809#3232—431no—
810#3125—431no—
811#3124—431no—
812#3120—431no—
813#3119—431no—
814#3102—431no—
815#3102—431no—
816#2986—431no—
817C2×C43—42no—
818C2×C43#348611yescharacteristic
819C2×C43#358411yescharacteristic
820C2×C43#358411yescharacteristic
821D43—41no—
822D43—81no—
823D43—81no—
824#563—861no—
825#563—861no—
826#559—431no—
827#559—431no—
828#557—431no—
829#557—431no—
830#557—431no—
831#557—431no—
832#557—431no—
833#557C2×D4311yescharacteristic
834#556—431no—
835#556—431no—
836#554—431no—
837#554—431no—
838#554—431no—
839#554—431no—
840#554—431no—
841#554—861no—
842#554—861no—
843#554—861no—
844#554—861no—
845#554C2×D4311yescharacteristic
846#552—861no—
847#552—861no—
848#544—431no—
849#544—431no—
850#544—861no—
851#544—861no—
852#542—431no—
853#542—431no—
854#542—861no—
855#542—861no—
856#541—431no—
857#540—431no—
858#539—861no—
859#539—861no—
860#533—431no—
861#533—861no—
862#529—431no—
863#529—431no—
864C2×#125—431no—
865C2×#125—861no—
866#520—431no—
867#520—431no—
868C4×#41—431no—
869#501—431no—
870#501—431no—
871#501C2×D4311yescharacteristic
872#501C2×D4311yescharacteristic
873#500—431no—
874#499—431no—
875#499—431no—
876#499—431no—
877#499—431no—
878#499—431no—
879#499C2×D4311yescharacteristic
880#498—431no—
881#491—431no—
882#490—431no—
883#489—431no—
884#489—431no—
885#488—431no—
886#488—431no—
887#488—431no—
888#488—431no—
889#488—431no—
890#488—431no—
891#487—431no—
892#486—431no—
893#485—431no—
894#485—431no—
895#484—431no—
896#484—431no—
897#483—431no—
898#483—431no—
899#482—431no—
900#482—431no—
901#481—431no—
902#481—431no—
903#480—431no—
904#480—431no—
905#479—431no—
906#479—431no—
907#479—431no—
908#479—431no—
909#479—431no—
910#479—431no—
911#479—431no—
912#479—431no—
913#479—431no—
914#479—431no—
915#479C2×D4311yescharacteristic
916#479C2×D4311yescharacteristic
917#478—431no—
918#478—431no—
919#478—431no—
920#478—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478C2×D4311yescharacteristic
928#478C2×D4311yescharacteristic
929#477—431no—
930#477—431no—
931#477—431no—
932#476—431no—
933#476—431no—
934#476C2×D4311yescharacteristic
935#475—431no—
936#475—431no—
937#475C2×D4311yescharacteristic
938#474—431no—
939#474—431no—
940#474—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464—431no—
945#463—431no—
946#463—431no—
947#463—431no—
948#463—431no—
949#462—431no—
950#461—431no—
951#460—431no—
952#459—431no—
953#452—431no—
954#452—431no—
955#449—431no—
956#449—431no—
957#446—431no—
958#446—431no—
959#446—431no—
960#446C2×D4311yescharacteristic
961C8×Q8—431no—
962C8×Q8—431no—
963C8×Q8—431no—
964C8×Q8—431no—
965#442—431no—
966#442—431no—
967#441—431no—
968#441—431no—
969#440—431no—
970#440—431no—
971#440C2×D4311yescharacteristic
972#440C2×D4311yescharacteristic
973C4×Q16—431no—
974C4×Q16—431no—
975C4×Q16—431no—
976C4×Q16—431no—
977C4×SD16—431no—
978C4×SD16—431no—
979C4×SD16—431no—
980C4×SD16—431no—
981C4×SD16—431no—
982C4×SD16—431no—
983C4×SD16—431no—
984C4×SD16C2×D4311yescharacteristic
985C4×D8—431no—
986C4×D8—431no—
987C4×D8—431no—
988C4×D8—431no—
989#433—431no—
990#433—431no—
991#433—431no—
992#433—431no—
993#431—431no—
994#431—431no—
995C43#6186711yescharacteristic, complemented, Sylow
996C2×#41—431no—
997C2×Q16—431no—
998C2×Q16—431no—
999C2×SD16—431no—
1000C2×SD16—431no—
1001C2×SD16—431no—
1002C2×SD16C22×D4311yescharacteristic
1003C2×D8—431no—
1004C2×D8—431no—
1005C4⋊Q8—21no—
1006C4⋊Q8—431no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—861no—
1014C4⋊Q8—861no—
1015C4⋊Q8—861no—
1016C4⋊Q8—861no—
1017C4⋊Q8—861no—
1018C4⋊Q8—861no—
1019C4⋊Q8—861no—
1020C4⋊Q8C22×D4311yescharacteristic
1021C4⋊Q8C22×D4311yescharacteristic
1022#127—431no—
1023#126—861no—
1024#126—861no—
1025#126—861no—
1026#126—861no—
1027#126—861no—
1028#126—861no—
1029#126—861no—
1030#126—861no—
1031#126—861no—
1032#126—861no—
1033#125—21no—
1034#125—21no—
1035#125—431no—
1036#125—431no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—861no—
1046#125—861no—
1047#125—861no—
1048#125—861no—
1049#125—861no—
1050#125—861no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125C22×D4311yescharacteristic
1062#125C22×D4311yescharacteristic
1063#125C22×D4311yescharacteristic
1064#125C22×D4311yescharacteristic
1065#124—431no—
1066#124—431no—
1067#124—431no—
1068#124—431no—
1069#124—861no—
1070#124—861no—
1071#124—861no—
1072#124—861no—
1073#123—861no—
1074#123—861no—
1075#123—861no—
1076#123—861no—
1077#123—861no—
1078#123—861no—
1079#123—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—861no—
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—
1115#121—431no—
1116#121—431no—
1117#121—861no—
1118#121—861no—
1119C4×Q8—21no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—431no—
1124C4×Q8—431no—
1125C4×Q8—431no—
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8C22×D4311yescharacteristic
1138C4×Q8C22×D4311yescharacteristic
1139C4×Q8C22×D4311yescharacteristic
1140C4×Q8C22×D4311yescharacteristic
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—431no—
1149C4×D4—431no—
1150C4×D4—861no—
1151C4×D4—861no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4C22×D4311yescharacteristic
1161C4×D4C22×D4311yescharacteristic
1162C4×D4C22×D4311yescharacteristic
1163#117—431no—
1164#117—431no—
1165#117—431no—
1166#117—861no—
1167#117—861no—
1168#117—861no—
1169#117—861no—
1170#117—861no—
1171#117—861no—
1172#117—861no—
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—861no—
1177C2×C4⋊C4—861no—
1178C2×C4⋊C4—861no—
1179C2×C4⋊C4—861no—
1180C2×C4⋊C4—861no—
1181C2×C4⋊C4—861no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C42—431no—
1186C2×C42—861no—
1187#107—431no—
1188#107—431no—
1189#107—431no—
1190#107—431no—
1191#107—431no—
1192#107—431no—
1193#107—431no—
1194#107—431no—
1195#107C22×D4311yescharacteristic
1196#107C22×D4311yescharacteristic
1197#107C22×D4311yescharacteristic
1198#107C22×D4311yescharacteristic
1199#106—431no—
1200#106—431no—
1201#106—431no—
1202#106—431no—
1203#106—431no—
1204#106—431no—
1205#106—431no—
1206#106C22×D4311yescharacteristic
1207#106C22×D4311yescharacteristic
1208#106C22×D4311yescharacteristic
1209#106C22×D4311yescharacteristic
1210#106C22×D4311yescharacteristic
1211C4⋊C8—431no—
1212C4⋊C8—431no—
1213C4⋊C8—431no—
1214C4⋊C8—431no—
1215C4⋊C8—431no—
1216C4⋊C8—431no—
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8C22×D4311yescharacteristic
1221C4⋊C8C22×D4311yescharacteristic
1222C4⋊C8C22×D4311yescharacteristic
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103C22×D4311yescharacteristic
1237#103C22×D4311yescharacteristic
1238#103C22×D4311yescharacteristic
1239#102—431no—
1240#102—431no—
1241#102—431no—
1242#102—431no—
1243#102—431no—
1244#102—431no—
1245#102—431no—
1246#102—431no—
1247#102—431no—
1248#102—431no—
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102C22×D4311yescharacteristic
1253#102C22×D4311yescharacteristic
1254#102C22×D4311yescharacteristic
1255C22⋊C8—431no—
1256C22⋊C8—431no—
1257C22⋊C8—431no—
1258C22⋊C8—431no—
1259#97—431no—
1260#97—431no—
1261#97C22×D4311yescharacteristic
1262#97C22×D4311yescharacteristic
1263C4×C8—431no—
1264C4×C8—431no—
1265C4×C8—431no—
1266C4×C8—431no—
1267C4×C8—431no—
1268C4×C8—431no—
1269C4×C8—431no—
1270C4×C8C22×D4311yescharacteristic
1271#41—862no—
1272#41—862no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—431no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—431no—
1279C2×Q8—431no—
1280C2×Q8—861no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8—861no—
1284C2×Q8D4×D4311yescharacteristic
1285C2×Q8C23×D4311yescharacteristic
1286C2×D4—431no—
1287C2×D4—431no—
1288C2×D4—861no—
1289C2×D4—861no—
1290C2×D4—861no—
1291C2×D4—861no—
1292C2×D4—861no—
1293C2×D4C23×D4311yescharacteristic
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—861no—
1301C22×C4—861no—
1302C22×C4—861no—
1303C22×C4—861no—
1304C22×C4—861no—
1305C22×C4—861no—
1306C22×C4—861no—
1307C22×C4—861no—
1308C22×C4—861no—
1309C22×C4—861no—
1310C22×C4—861no—
1311C22×C4—861no—
1312Q16—862no—
1313Q16—862no—
1314SD16—22no—
1315SD16—862no—
1316SD16—862no—
1317SD16—862no—
1318D8—862no—
1319D8—862no—
1320C2×C8—431no—
1321C2×C8—431no—
1322C2×C8—431no—
1323C2×C8—431no—
1324C2×C8C23×D4311yescharacteristic
1325C2×C8C23×D4311yescharacteristic
1326C2×C8C23×D4311yescharacteristic
1327C2×C8C23×D4311yescharacteristic
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—431no—
1342C4⋊C4—431no—
1343C4⋊C4—431no—
1344C4⋊C4—431no—
1345C4⋊C4—431no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—431no—
1350C4⋊C4—431no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1394C4⋊C4D4×D4311yescharacteristic
1395C4⋊C4D4×D4311yescharacteristic
1396C4⋊C4C23×D4311yescharacteristic
1397C4⋊C4C23×D4311yescharacteristic
1398C4⋊C4C23×D4311yescharacteristic
1399C4⋊C4C23×D4311yescharacteristic
1400C4⋊C4C23×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—431no—
1406C22⋊C4—431no—
1407C22⋊C4—431no—
1408C22⋊C4—431no—
1409C22⋊C4—861no—
1410C22⋊C4—861no—
1411C22⋊C4—861no—
1412C22⋊C4—861no—
1413C22⋊C4—861no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4—861no—
1418C22⋊C4—861no—
1419C22⋊C4—861no—
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—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—431no—
1435C42—431no—
1436C42—431no—
1437C42—431no—
1438C42—431no—
1439C42—861no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42C23×D4311yescharacteristic
1450C42C23×D4311yescharacteristic
1451C42C23×D4311yescharacteristic
1452C23—21no—
1453C23—431no—
1454C23—861no—
1455C23—861no—
1456Q8—21no—
1457Q8—21no—
1458Q8—41no—
1459Q8—81no—
1460Q8—81no—
1461Q8—432no—
1462Q8—861no—
1463Q8—861no—
1464Q8—861no—
1465Q8—3441no—
1466Q8—3441no—
1467Q8—3441no—
1468Q8—3441no—
1469Q8—1721no—
1470Q8—1721no—
1471Q8—1721no—
1472D4—21no—
1473D4—864no—
1474D4—861no—
1475D4—861no—
1476D4—861no—
1477D4—861no—
1478D4—3441no—
1479D4—3441no—
1480D4—3441no—
1481D4—3441no—
1482D4#1306337312yes—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—431no—
1494C2×C4—431no—
1495C2×C4—431no—
1496C2×C4—431no—
1497C2×C4—431no—
1498C2×C4—431no—
1499C2×C4—431no—
1500C2×C4—864no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—3441no—
1510C2×C4—3441no—
1511C2×C4—3441no—
1512C2×C4—3441no—
1513C2×C4—3441no—
1514C2×C4—3441no—
1515C2×C4—3441no—
1516C2×C4—3441no—
1517C2×C4—3441no—
1518C2×C4—3441no—
1519C2×C4—3441no—
1520C2×C4—1721no—
1521C2×C4—1721no—
1522C2×C4C2×D4×D4311yescharacteristic
1523C2×C4C2×D4×D4311yescharacteristic
1524C2×C4C2×D4×D4311yescharacteristic
1525C2×C4C2×D4×D4311yescharacteristic
1526C2×C4C2×D4×D4311yescharacteristic
1527C2×C4C2×D4×D4311yescharacteristic
1528C2×C4C24×D4311yescharacteristic
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—21no—
1533C8—861no—
1534C8—861no—
1535C8—861no—
1536C8—861no—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—861no—
1541C22—861no—
1542C22—861no—
1543C22—1721no—
1544C22—1721no—
1545C22—1721no—
1546C22—1721no—
1547C22—1721no—
1548C22—1721no—
1549C22C22×D4×D4311yescharacteristic
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—861no—
1564C4—861no—
1565C4—861no—
1566C4—861no—
1567C4—861no—
1568C4—861no—
1569C4—861no—
1570C4—862no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C42−1+4×D4311yescharacteristic
1577C4C2×#1306337311yescharacteristic
1578C2—42no—
1579C2—3441no—
1580C2—3441no—
1581C2—1721no—
1582C2#1914824511yescharacteristic
1583C2#1914936711yescharacteristic
1584C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3388C2
socleC22×C43C23×D4
prime radical#19144799C2
hypercenter#3388D43
hypocenterC43#61867
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #19149102C2semidirect
2. #19148415C2semidirect
3. #19147559C2semidirect
4. #19147553C2semidirect
5. #19147539C2semidirect
6. #19147482C2semidirect
7. #19147467C2semidirect
8. #19147465C2semidirect
9. #19147461C2semidirect
10. #19147435C2semidirect
11. #19147427C2semidirect
12. #19147365C2semidirect
13. #19147349C2semidirect
14. #19147290C2semidirect
15. #19147283C2semidirect
16. #19147255C2semidirect
17. #19147245C2semidirect
18. #19145900C2semidirect
19. #19145879C2semidirect
20. #19145870C2semidirect
21. #19145849C2semidirect
22. #19145767C2semidirect
23. #19145764C2semidirect
24. #19144877C2semidirect
25. #19144861C2semidirect
26. #19144813C2semidirect
28. #19144618C2semidirect
29. #19144617C2semidirect
30. #19143693C2semidirect
31. C43×#3388C2semidirect
791. #3388D43semidirect
995. C43#61867semidirect

Maximal subgroups

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

subgroupindex
#191491022
#191484152
#191475592
#191475532
#191475392
#191474822
#191474672
#191474652
#191474612
#191474352
#191474272
#191473652
#191473492
#191472902
#191472832
#191472552
#191472452
#191459002
#191458792
#191458702
#191458492
#191457672
#191457642
#191448772
#191448612
#191448132
#191447992
#191446182
#191446172
#191436932
C43×#33882
#6186743