Finite Group Databasebeta

← #25987342

Subgroups — #25987342

Order 11008.

1606 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149075C211yesmaximal, characteristic
2#19148402C211yesmaximal, characteristic, complemented
3#19147562C211yesmaximal, characteristic, complemented
4#19147524C211yesmaximal, characteristic, complemented
5#19147502C211yesmaximal, characteristic, complemented
6#19147483C211yesmaximal, characteristic, complemented
7#19147482C211yesmaximal, characteristic, complemented
8#19147476C211yesmaximal, characteristic, complemented
9#19147473C211yesmaximal, characteristic, complemented
10#19147439C211yesmaximal, characteristic, complemented
11#19147435C211yesmaximal, characteristic, complemented
12#19147399C211yesmaximal, characteristic, complemented
13#19147336C211yesmaximal, characteristic, complemented
14#19147283C211yesmaximal, characteristic, complemented
15#19147281C211yesmaximal, characteristic, complemented
16#19147280C211yesmaximal, characteristic, complemented
17#19147272C211yesmaximal, characteristic, complemented
18#19145883C211yesmaximal, characteristic
19#19145879C211yesmaximal, characteristic
20#19145868C211yesmaximal, characteristic, complemented
21#19145864C211yesmaximal, characteristic, complemented
22#19145775C211yesmaximal, characteristic
23#19145753C211yesmaximal, characteristic, complemented
24#19144897C211yesmaximal, characteristic, complemented
25#19144894C211yesmaximal, characteristic, complemented
26#19144829C211yesmaximal, characteristic
27#19144828C211yesmaximal, characteristic
28#19144680C211yesmaximal, characteristic
29#19144632C211yesmaximal, characteristic, complemented
30#19143693C211yesmaximal, characteristic, complemented
31C43×#3390C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34Q8×Dic86C2211yescharacteristic
35#14583629—21no—
36#14583629C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583627—21no—
39#14583627C2211yescharacteristic
40#14583627C2211yescharacteristic
41#14583626—21no—
42#14583626—21no—
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583626C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583625C2211yescharacteristic
48#14583622C2211yescharacteristic
49#14583621—21no—
50#14583621C2211yescharacteristic
51#14583621C2211yescharacteristic
52#14583605C2211yescharacteristic
53#14583581—21no—
54#14583529—21no—
55#14583529C2211yescharacteristic
56#14583526—21no—
57#14583526—21no—
58#14583526C2211yescharacteristic
59#14583523C2211yescharacteristic
60#14583521C2211yescharacteristic
61#14583512C2211yescharacteristic
62#14583508—21no—
63#14583508—21no—
64#14583507—21no—
65#14583507C2211yescharacteristic
66#14583455—21no—
67#14583455C2211yescharacteristic
68#14583453—21no—
69#14583453C2211yescharacteristic
70#14583453C2211yescharacteristic
71#14583434C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583307C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583303C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583302C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583298C2211yescharacteristic
82#14583298C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583268C2211yescharacteristic
85#14583266C2211yescharacteristic
86#14583260C2211yescharacteristic
87#14583259C2211yescharacteristic
88#14583256C2211yescharacteristic
89#14583256C2211yescharacteristic
90#14583255C2211yescharacteristic
91#14583254C2211yescharacteristic
92#14583251C2211yescharacteristic
93#14583248C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583243C2211yescharacteristic
98#14583242C2211yescharacteristic
99#14583242C2211yescharacteristic
100#14583239C2211yescharacteristic
101#14583238C2211yescharacteristic
102#14583236C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583231C2211yescharacteristic
105#14583226C2211yescharacteristic
106#14583225C2211yescharacteristic
107#14583214C2211yescharacteristic
108#14583209C2211yescharacteristic
109#14583209C2211yescharacteristic
110#14583209C2211yescharacteristic
111#14583207C2211yescharacteristic
112#14583206C2211yescharacteristic
113#14583206C2211yescharacteristic
114#14583205C2211yescharacteristic
115#14583204C2211yescharacteristic
116#14583203C2211yescharacteristic
117#14583203C2211yescharacteristic
118#14583203C2211yescharacteristic
119#14583203C2211yescharacteristic
120#14583200C2211yescharacteristic
121#14583198C2211yescharacteristic
122#14583195C2211yescharacteristic
123#14583193C2211yescharacteristic
124#14583193C2211yescharacteristic
125#14583193C2211yescharacteristic
126#14583193C2211yescharacteristic
127#14583192C2211yescharacteristic
128#14583192C2211yescharacteristic
129#14583188C2211yescharacteristic
130#14583184C2211yescharacteristic
131#14583183C2211yescharacteristic
132#14583183C2211yescharacteristic
133#14583183C2211yescharacteristic
134#14583181C2211yescharacteristic
135#14583178C2211yescharacteristic
136#14583178C2211yescharacteristic
137#14583176C2211yescharacteristic
138#14583124C2211yescharacteristic
139#14583123C2211yescharacteristic
140#14583122C2211yescharacteristic
141#14583122C2211yescharacteristic
142#14583121C2211yescharacteristic
143#14583121C2211yescharacteristic
144#14583110C2211yescharacteristic
145#14583109C2211yescharacteristic
146#14583108C2211yescharacteristic
147#14583108C2211yescharacteristic
148#14583107C2211yescharacteristic
149#14583107C2211yescharacteristic
150#14583056C2211yescharacteristic
151#14583056C2211yescharacteristic
152#14583053C2211yescharacteristic
153#14583039C2211yescharacteristic
154#14583027C2211yescharacteristic
155#14583027C2211yescharacteristic
156#14583026C2211yescharacteristic
157Q8×C43⋊C8C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159#14583023C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583007C2211yescharacteristic
162#14583005C2211yescharacteristic
163#14583003C2211yescharacteristic
164#14583003C2211yescharacteristic
165#14583001C2211yescharacteristic
166#14582998C2211yescharacteristic
167C4×Dic172C2211yescharacteristic
168#14582993C2211yescharacteristic
169#14582993C2211yescharacteristic
170#14582993C2211yescharacteristic
171C4×#10621885C2211yescharacteristic
172C4×#10621885C2211yescharacteristic
173C4×#10621885C2211yescharacteristic
174C4×#10621885C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582991C2211yescharacteristic
177#14582991C2211yescharacteristic
178C4×#10621884C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582984C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582961C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582959C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#557C2211yescharacteristic
189C43×#557C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#501C2211yescharacteristic
192C43×#499C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#479C2211yescharacteristic
195C43×#479C2211yescharacteristic
196C43×#479C2211yescharacteristic
197C43×#477C2211yescharacteristic
198C43×#477C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#441C2211yescharacteristic
201C43×#441C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic
203C2×Q8×D43C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×Dic172C2311yescharacteristic
206C2×#10621885C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211#13063325—21no—
212#13063325C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063324—21no—
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324D411yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323D411yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063319—21no—
250#13063319—21no—
251#13063319—21no—
252#13063319—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317C2311yescharacteristic
258#13063317C2311yescharacteristic
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315D411yescharacteristic
281#13063315D411yescharacteristic
282#13063314—21no—
283#13063314C2311yescharacteristic
284#13063313—21no—
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063305—21no—
291#13063305—21no—
292#13063305D411yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303D411yescharacteristic
306#13063303D411yescharacteristic
307#13063301—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301D411yescharacteristic
311#13063301C2311yescharacteristic
312#13063300C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350C4×D172C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063283—21no—
355#13063283—21no—
356#13063283—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C42×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#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
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×Q16×C43C2311yescharacteristic
436C4⋊Q8×C43—21no—
437C4⋊Q8×C43—21no—
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440#125×C43—21no—
441#125×C43—21no—
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
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#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×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×Q8×C43C2411yescharacteristic
483Q8×D43—22no—
484Q8×D43—22no—
485C2×D172—21no—
486C2×D172C2411yescharacteristic
487C2×C4×D43—21no—
488C2×C4×D43—21no—
489C2×C4×D43—21no—
490C2×C4×D43—21no—
491C2×C4×D43—21no—
492C2×C4×D43C2×D411yescharacteristic
493C2×C4×D43C2×D411yescharacteristic
494C2×C4×D43C2411yescharacteristic
495C2×Dic86—21no—
496C2×Dic86—21no—
497C2×Dic86—21no—
498C2×Dic86—21no—
499C2×Dic86—21no—
500C2×Dic86—21no—
501C2×Dic86—21no—
502C2×Dic86—21no—
503C2×Dic86C2×D411yescharacteristic
504C2×Dic86C2×D411yescharacteristic
505C2×Dic86C2×D411yescharacteristic
506C2×Dic86C2411yescharacteristic
507C2×Dic86C2411yescharacteristic
508C2×Dic86C2411yescharacteristic
509Q16×C43—22no—
510C2×C8×C43C2411yescharacteristic
511C2×C8×C43C2411yescharacteristic
512C2×C8×C43C2411yescharacteristic
513C2×C8×C43C2411yescharacteristic
514C4⋊C4×C43—21no—
515C4⋊C4×C43—21no—
516C4⋊C4×C43—21no—
517C4⋊C4×C43—21no—
518C4⋊C4×C43—21no—
519C4⋊C4×C43—21no—
520C4⋊C4×C43—21no—
521C4⋊C4×C43—21no—
522C4⋊C4×C43—21no—
523C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
531C4⋊C4×C43C2×D411yescharacteristic
532C4⋊C4×C43C2×D411yescharacteristic
533C4⋊C4×C43C2411yescharacteristic
534C4⋊C4×C43C2411yescharacteristic
535C4⋊C4×C43C2411yescharacteristic
536C4⋊C4×C43C2411yescharacteristic
537C4⋊C4×C43C2411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C42×C43—21no—
540C42×C43—21no—
541C42×C43—21no—
542C42×C43—21no—
543C42×C43—21no—
544C42×C43—21no—
545C42×C43C2411yescharacteristic
546C42×C43C2411yescharacteristic
547C42×C43C2411yescharacteristic
548#10621885—22no—
549#10621885—22no—
550#10621885—22no—
551#10621884—22no—
552(C2×D43)⋊C4—21no—
553(C2×D43)⋊C4—21no—
554(C2×D43)⋊C4—21no—
555(C2×D43)⋊C4—21no—
556(C2×D43)⋊C4—21no—
557(C2×D43)⋊C4—21no—
558(C2×D43)⋊C4—21no—
559(C2×D43)⋊C4—21no—
560(C2×D43)⋊C4—21no—
561(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
568(C2×D43)⋊C4C2×D411yescharacteristic
569(C2×D43)⋊C4C2×D411yescharacteristic
570(C2×D43)⋊C4C2×D411yescharacteristic
571C4⋊Dic43—21no—
572C4⋊Dic43—21no—
573C4⋊Dic43—21no—
574C4⋊Dic43—21no—
575C4⋊Dic43—21no—
576C4⋊Dic43—21no—
577C4⋊Dic43—21no—
578C4⋊Dic43—21no—
579C4⋊Dic43—21no—
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43C2×D411yescharacteristic
583C4⋊Dic43C2×D411yescharacteristic
584C4⋊Dic43C2×D411yescharacteristic
585C4⋊Dic43C2411yescharacteristic
586C4⋊Dic43C2411yescharacteristic
587C4⋊Dic43C2411yescharacteristic
588C4⋊Dic43C2411yescharacteristic
589Dic43⋊C4—21no—
590Dic43⋊C4—21no—
591Dic43⋊C4—21no—
592Dic43⋊C4—21no—
593Dic43⋊C4—21no—
594Dic43⋊C4—21no—
595Dic43⋊C4—21no—
596Dic43⋊C4—21no—
597Dic43⋊C4—21no—
598Dic43⋊C4—21no—
599Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
621Dic43⋊C4C2×D411yescharacteristic
622Dic43⋊C4C2×D411yescharacteristic
623Dic43⋊C4C2×D411yescharacteristic
624Dic43⋊C4C2×D411yescharacteristic
625Dic43⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630C4×Dic43—21no—
631C4×Dic43—21no—
632C4×Dic43—21no—
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
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—
657Dic172—22no—
658#10621873—22no—
659C22×D43—21no—
660C22×D43C22×D411yescharacteristic
661Q8×C43—21no—
662Q8×C43—21no—
663Q8×C43—21no—
664Q8×C43—41no—
665Q8×C43—81no—
666Q8×C43—81no—
667Q8×C432−1+412yes—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
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×C43C22×D411yescharacteristic
677C2×C4×C43C22×D411yescharacteristic
678C2×C4×C43C22×D411yescharacteristic
679C2×C4×C43C22×D411yescharacteristic
680C2×C4×C43C22×D411yescharacteristic
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C2511yescharacteristic
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43C22×D411yescharacteristic
691C2×Dic43C22×D411yescharacteristic
692C2×Dic43C22×D411yescharacteristic
693C2×Dic43C22×D411yescharacteristic
694C2×Dic43C22×D411yescharacteristic
695C2×Dic43C22×D411yescharacteristic
696C2×Dic43C22×D411yescharacteristic
697D172—21no—
698D172—21no—
699D172—81no—
700C4×D43—24no—
701C4×D43—21no—
702C4×D43—21no—
703C4×D43—22no—
704C4×D43—41no—
705C4×D43—42no—
706C4×D43—81no—
707C4×D43—81no—
708C4×D43—81no—
709Dic86—24no—
710Dic86—21no—
711Dic86—22no—
712Dic86—22no—
713Dic86—21no—
714Dic86—21no—
715Dic86—21no—
716Dic86—21no—
717Dic86—41no—
718Dic86—42no—
719Dic86—81no—
720Dic86—81no—
721Dic86—81no—
722Dic86—81no—
723Dic86—81no—
724Dic86—81no—
725Dic862−1+412yes—
726C8×C43—21no—
727C8×C43—21no—
728C8×C43—21no—
729C8×C43—21no—
730C43⋊C8—21no—
731C43⋊C8—21no—
732C43⋊C8—21no—
733C43⋊C8—21no—
734#61866—431nomaximal, Sylow
735C22×C43C23×D411yescharacteristic
736C2×D43—21no—
737C2×D43—21no—
738C2×D43—21no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43—41no—
742C4×C43—21no—
743C4×C43—21no—
744C4×C43—21no—
745C4×C43—22no—
746C4×C43—21no—
747C4×C43—21no—
748C4×C43—21no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43—41no—
756C4×C43C2×2−1+411yescharacteristic
757C4×C43C2×2−1+411yescharacteristic
758Dic43—21no—
759Dic43—21no—
760Dic43—21no—
761Dic43—21no—
762Dic43—22no—
763Dic43—21no—
764Dic43—21no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43—41no—
769Dic43—41no—
770Dic43—41no—
771Dic43#57812yes—
772#3555—431no—
773#3502—431no—
774#3390—431no—
775#3390D4311yescharacteristic, complemented
776#3387—431no—
777#3385—431no—
778#3383—431no—
779#3383—431no—
780Q8×Q16—431no—
781#3381—431no—
782#3377—431no—
783#3377—431no—
784#3374—431no—
785#3369—431no—
786#3364—431no—
787#3364—431no—
788#3364—431no—
789#3363—431no—
790#3243—431no—
791#3243—431no—
792#3242—431no—
793#3242—431no—
794#3233—431no—
795#3231—431no—
796#3127—431no—
797#3127—431no—
798#3121—431no—
799#3121—431no—
800#3108—431no—
801#3104—431no—
802#2986—431no—
803C2×C43#348611yescharacteristic
804C2×C43C2×#57811yescharacteristic
805C2×C43#358411yescharacteristic
806D43—41no—
807D43—81no—
808#563—861no—
809#563—861no—
810Q82—431no—
811Q82—431no—
812Q82—431no—
813Q82—861no—
814#557—431no—
815#557—431no—
816#557—431no—
817#557—431no—
818#557—431no—
819#557—431no—
820#557—431no—
821#557—861no—
822#557—861no—
823#557—861no—
824#557C2×D4311yescharacteristic
825#557C2×D4311yescharacteristic
826#556—431no—
827#556—431no—
828#556—431no—
829#556—861no—
830#554—431no—
831#552—861no—
832#544—431no—
833#544—431no—
834#544—861no—
835#544—861no—
836#544—861no—
837#542—431no—
838#542—431no—
839#541—431no—
840#541—431no—
841#541—861no—
842#541—861no—
843#541—861no—
844#533—431no—
845#533—431no—
846#533—431no—
847#533—861no—
848#533—861no—
849#529—431no—
850#519—431no—
851#519—431no—
852C2×C4×Q8—431no—
853#501—431no—
854#501—431no—
855#501C2×D4311yescharacteristic
856#501C2×D4311yescharacteristic
857#500—431no—
858#500—431no—
859#500—431no—
860#499—431no—
861#499—431no—
862#499—431no—
863#499C2×D4311yescharacteristic
864#498—431no—
865#491—431no—
866#491—431no—
867#489—431no—
868#489—431no—
869#488—431no—
870#488—431no—
871#488—431no—
872#488—431no—
873#487—431no—
874#487—431no—
875#487—431no—
876#487—431no—
877#485—431no—
878#485—431no—
879#485—431no—
880#485—431no—
881#485—431no—
882#485—431no—
883#484—431no—
884#484—431no—
885#483—431no—
886#482—431no—
887#482—431no—
888#480—431no—
889#479—431no—
890#479—431no—
891#479—431no—
892#479—431no—
893#479—431no—
894#479—431no—
895#479—431no—
896#479—431no—
897#479—431no—
898#479—431no—
899#479—431no—
900#479—431no—
901#479C2×D4311yescharacteristic
902#479C2×D4311yescharacteristic
903#479C2×D4311yescharacteristic
904#479C2×D4311yescharacteristic
905#478—431no—
906#478—431no—
907#477—431no—
908#477—431no—
909#477—431no—
910#477—431no—
911#477—431no—
912#477—431no—
913#477—431no—
914#477C2×D4311yescharacteristic
915#477C2×D4311yescharacteristic
916#476—431no—
917#475—431no—
918#475—431no—
919#475—431no—
920#475—431no—
921#475—431no—
922#474—431no—
923#474—431no—
924#474—431no—
925#464—431no—
926#464—431no—
927#464—431no—
928#464—431no—
929#464—431no—
930#464—431no—
931#462—431no—
932#462—431no—
933#462—431no—
934#462—431no—
935#462—431no—
936#462—431no—
937#451—431no—
938#451—431no—
939#451—431no—
940#448—431no—
941#446—431no—
942#446—431no—
943#446—431no—
944#446C2×D4311yescharacteristic
945C8×Q8—431no—
946C8×Q8—431no—
947C8×Q8—431no—
948C8×Q8—431no—
949#441—431no—
950#441—431no—
951#441—431no—
952#441—431no—
953#441C2×D4311yescharacteristic
954#441C2×D4311yescharacteristic
955#440—431no—
956#440—431no—
957C4×Q16—431no—
958C4×Q16—431no—
959C4×Q16—431no—
960C4×Q16—431no—
961C4×Q16—431no—
962C4×Q16—431no—
963C4×Q16—431no—
964C4×Q16—431no—
965C4×Q16—431no—
966C4×Q16—431no—
967C4×Q16—431no—
968C4×Q16C2×D4311yescharacteristic
969C4×SD16—431no—
970C4×SD16—431no—
971C4×SD16—431no—
972C4×SD16—431no—
973#433—431no—
974#433—431no—
975#433—431no—
976#433—431no—
977#431—431no—
978#431—431no—
979C43#6186611yescharacteristic, complemented, Sylow
980C22×Q8—431no—
981C2×Q16—431no—
982C2×Q16—431no—
983C2×Q16—431no—
984C2×Q16—431no—
985C2×Q16—431no—
986C2×Q16C22×D4311yescharacteristic
987C2×SD16—431no—
988C2×SD16—431no—
989C4⋊Q8—21no—
990C4⋊Q8—21no—
991C4⋊Q8—431no—
992C4⋊Q8—431no—
993C4⋊Q8—431no—
994C4⋊Q8—431no—
995C4⋊Q8—431no—
996C4⋊Q8—431no—
997C4⋊Q8—431no—
998C4⋊Q8—431no—
999C4⋊Q8—431no—
1000C4⋊Q8—431no—
1001C4⋊Q8—431no—
1002C4⋊Q8—431no—
1003C4⋊Q8—861no—
1004C4⋊Q8—861no—
1005C4⋊Q8—861no—
1006C4⋊Q8—861no—
1007C4⋊Q8—861no—
1008C4⋊Q8—861no—
1009C4⋊Q8—861no—
1010C4⋊Q8—861no—
1011C4⋊Q8—861no—
1012C4⋊Q8—861no—
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#126—861no—
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#126—861no—
1034#126—861no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—21no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—431no—
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#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125C22×D4311yescharacteristic
1069#125C22×D4311yescharacteristic
1070#125C22×D4311yescharacteristic
1071#125C22×D4311yescharacteristic
1072#124—431no—
1073#124—431no—
1074#124—431no—
1075#124—861no—
1076#124—861no—
1077#123—861no—
1078#123—861no—
1079#123—861no—
1080C22⋊Q8—431no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—861no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
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—
1102#121—431no—
1103C4×Q8—21no—
1104C4×Q8—21no—
1105C4×Q8—431no—
1106C4×Q8—431no—
1107C4×Q8—431no—
1108C4×Q8—431no—
1109C4×Q8—431no—
1110C4×Q8—431no—
1111C4×Q8—431no—
1112C4×Q8—431no—
1113C4×Q8—431no—
1114C4×Q8—431no—
1115C4×Q8—431no—
1116C4×Q8—431no—
1117C4×Q8—431no—
1118C4×Q8—431no—
1119C4×Q8—431no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—861no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8C22×D4311yescharacteristic
1143C4×Q8C22×D4311yescharacteristic
1144C4×Q8C22×D4311yescharacteristic
1145C4×Q8C22×D4311yescharacteristic
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—861no—
1153#117—431no—
1154#117—431no—
1155#117—431no—
1156#117—431no—
1157#117—861no—
1158#117—861no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117—861no—
1165#117—861no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—861no—
1168C2×C4⋊C4—861no—
1169C2×C42—431no—
1170C2×C42—861no—
1171#107—431no—
1172#107—431no—
1173#107—431no—
1174#107—431no—
1175#107—431no—
1176#107—431no—
1177#107—431no—
1178#107—431no—
1179#107—431no—
1180#107C22×D4311yescharacteristic
1181#107C22×D4311yescharacteristic
1182#107C22×D4311yescharacteristic
1183#107C22×D4311yescharacteristic
1184#107C22×D4311yescharacteristic
1185#106—431no—
1186#106—431no—
1187#106—431no—
1188#106—431no—
1189#106—431no—
1190#106—431no—
1191#106C22×D4311yescharacteristic
1192#106C22×D4311yescharacteristic
1193#106C22×D4311yescharacteristic
1194#106C22×D4311yescharacteristic
1195C4⋊C8—431no—
1196C4⋊C8—431no—
1197C4⋊C8—431no—
1198C4⋊C8—431no—
1199C4⋊C8—431no—
1200C4⋊C8—431no—
1201C4⋊C8—431no—
1202C4⋊C8—431no—
1203C4⋊C8—431no—
1204C4⋊C8C22×D4311yescharacteristic
1205C4⋊C8C22×D4311yescharacteristic
1206C4⋊C8C22×D4311yescharacteristic
1207#103—431no—
1208#103—431no—
1209#103—431no—
1210#103—431no—
1211#103—431no—
1212#103—431no—
1213#103—431no—
1214#103—431no—
1215#103—431no—
1216#103—431no—
1217#103—431no—
1218#103—431no—
1219#103—431no—
1220#103—431no—
1221#103—431no—
1222#103—431no—
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103C22×D4311yescharacteristic
1228#103C22×D4311yescharacteristic
1229#103C22×D4311yescharacteristic
1230#103C22×D4311yescharacteristic
1231#103C22×D4311yescharacteristic
1232#103C22×D4311yescharacteristic
1233#102—431no—
1234#102—431no—
1235#102—431no—
1236#102—431no—
1237#102—431no—
1238#102—431no—
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8—431no—
1242C22⋊C8—431no—
1243#97—431no—
1244#97—431no—
1245#97C22×D4311yescharacteristic
1246#97C22×D4311yescharacteristic
1247C4×C8—431no—
1248C4×C8—431no—
1249C4×C8—431no—
1250C4×C8—431no—
1251C4×C8—431no—
1252C4×C8—431no—
1253C4×C8—431no—
1254C4×C8C22×D4311yescharacteristic
1255C2×Q8—21no—
1256C2×Q8—21no—
1257C2×Q8—431no—
1258C2×Q8—431no—
1259C2×Q8—431no—
1260C2×Q8—431no—
1261C2×Q8—431no—
1262C2×Q8—431no—
1263C2×Q8—861no—
1264C2×Q8—861no—
1265C2×Q8—861no—
1266C2×Q8—861no—
1267C2×Q8—861no—
1268C2×Q8—861no—
1269C2×Q8—861no—
1270C2×Q8—862no—
1271C2×Q8—862no—
1272C2×Q8—861no—
1273C2×Q8D4×D4311yescharacteristic
1274C2×Q8C23×D4311yescharacteristic
1275C2×Q8C23×D4311yescharacteristic
1276C2×D4—431no—
1277C2×D4—861no—
1278C22×C4—431no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—861no—
1282C22×C4—861no—
1283C22×C4—861no—
1284C22×C4—861no—
1285C22×C4—861no—
1286Q16—22no—
1287Q16—862no—
1288Q16—862no—
1289Q16—862no—
1290Q16—862no—
1291Q16—862no—
1292SD16—862no—
1293SD16—862no—
1294C2×C8—431no—
1295C2×C8—431no—
1296C2×C8—431no—
1297C2×C8—431no—
1298C2×C8C23×D4311yescharacteristic
1299C2×C8C23×D4311yescharacteristic
1300C2×C8C23×D4311yescharacteristic
1301C2×C8C23×D4311yescharacteristic
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—431no—
1319C4⋊C4—431no—
1320C4⋊C4—431no—
1321C4⋊C4—431no—
1322C4⋊C4—431no—
1323C4⋊C4—431no—
1324C4⋊C4—431no—
1325C4⋊C4—431no—
1326C4⋊C4—431no—
1327C4⋊C4—431no—
1328C4⋊C4—431no—
1329C4⋊C4—431no—
1330C4⋊C4—431no—
1331C4⋊C4—431no—
1332C4⋊C4—431no—
1333C4⋊C4—431no—
1334C4⋊C4—431no—
1335C4⋊C4—861no—
1336C4⋊C4—861no—
1337C4⋊C4—861no—
1338C4⋊C4—861no—
1339C4⋊C4—861no—
1340C4⋊C4—861no—
1341C4⋊C4—861no—
1342C4⋊C4—861no—
1343C4⋊C4—861no—
1344C4⋊C4—861no—
1345C4⋊C4—861no—
1346C4⋊C4—861no—
1347C4⋊C4—861no—
1348C4⋊C4—861no—
1349C4⋊C4—861no—
1350C4⋊C4—861no—
1351C4⋊C4—861no—
1352C4⋊C4—861no—
1353C4⋊C4—861no—
1354C4⋊C4—861no—
1355C4⋊C4—861no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1378C4⋊C4D4×D4311yescharacteristic
1379C4⋊C4D4×D4311yescharacteristic
1380C4⋊C4C23×D4311yescharacteristic
1381C4⋊C4C23×D4311yescharacteristic
1382C4⋊C4C23×D4311yescharacteristic
1383C4⋊C4C23×D4311yescharacteristic
1384C4⋊C4C23×D4311yescharacteristic
1385C4⋊C4C23×D4311yescharacteristic
1386C22⋊C4—431no—
1387C22⋊C4—431no—
1388C22⋊C4—431no—
1389C22⋊C4—431no—
1390C22⋊C4—861no—
1391C22⋊C4—861no—
1392C22⋊C4—861no—
1393C22⋊C4—861no—
1394C22⋊C4—861no—
1395C22⋊C4—861no—
1396C22⋊C4—861no—
1397C22⋊C4—861no—
1398C22⋊C4—861no—
1399C22⋊C4—861no—
1400C22⋊C4—861no—
1401C22⋊C4—861no—
1402C22⋊C4—861no—
1403C22⋊C4—861no—
1404C22⋊C4—861no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—431no—
1412C42—431no—
1413C42—431no—
1414C42—431no—
1415C42—431no—
1416C42—861no—
1417C42—861no—
1418C42—861no—
1419C42—861no—
1420C42—861no—
1421C42—861no—
1422C42—861no—
1423C42—861no—
1424C42—861no—
1425C42—861no—
1426C42—861no—
1427C42—861no—
1428C42—861no—
1429C42—861no—
1430C42—861no—
1431C42—861no—
1432C42—861no—
1433C42C23×D4311yescharacteristic
1434C42C23×D4311yescharacteristic
1435C42C23×D4311yescharacteristic
1436C23—431no—
1437C23—861no—
1438Q8—21no—
1439Q8—21no—
1440Q8—21no—
1441Q8—41no—
1442Q8—81no—
1443Q8—81no—
1444Q8—432no—
1445Q8—862no—
1446Q8—862no—
1447Q8—864no—
1448Q8—861no—
1449Q8—861no—
1450Q8—861no—
1451Q8—861no—
1452Q8—861no—
1453Q8—3441no—
1454Q8—3441no—
1455Q8—3441no—
1456Q8—3441no—
1457Q8—3441no—
1458Q8—3441no—
1459Q8—1721no—
1460Q8—1722no—
1461Q8#1306337312yes—
1462D4—861no—
1463D4—861no—
1464D4—3441no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—431no—
1474C2×C4—431no—
1475C2×C4—431no—
1476C2×C4—431no—
1477C2×C4—431no—
1478C2×C4—431no—
1479C2×C4—431no—
1480C2×C4—862no—
1481C2×C4—864no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—3441no—
1492C2×C4—3441no—
1493C2×C4—3441no—
1494C2×C4—1721no—
1495C2×C4—1722no—
1496C2×C4C2×D4×D4311yescharacteristic
1497C2×C4C2×D4×D4311yescharacteristic
1498C2×C4C2×D4×D4311yescharacteristic
1499C2×C4C2×D4×D4311yescharacteristic
1500C2×C4C2×D4×D4311yescharacteristic
1501C2×C4C2×D4×D4311yescharacteristic
1502C2×C4C24×D4311yescharacteristic
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—861no—
1508C8—861no—
1509C8—861no—
1510C8—861no—
1511C22—861no—
1512C22—861no—
1513C22—861no—
1514C22—1721no—
1515C22—1721no—
1516C22—1721no—
1517C22C22×D4×D4311yescharacteristic
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—21no—
1524C4—22no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—432no—
1533C4—861no—
1534C4—861no—
1535C4—861no—
1536C4—861no—
1537C4—861no—
1538C4—861no—
1539C4—862no—
1540C4—1721no—
1541C4—1721no—
1542C4—1721no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C42−1+4×D4311yescharacteristic
1547C4C2×#1306337311yescharacteristic
1548C2—3441no—
1549C2—1721no—
1550C2#1914824511yescharacteristic
1551C2#578×D4311yescharacteristic
1552C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3390C2
socleC22×C43C23×D4
prime radical#13063300C23
hypercenter#3390D43
hypocenterC43#61866
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3390

Complements

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

NH ≅ G/Ntype
2. #19148402C2semidirect
3. #19147562C2semidirect
4. #19147524C2semidirect
5. #19147502C2semidirect
6. #19147483C2semidirect
7. #19147482C2semidirect
8. #19147476C2semidirect
9. #19147473C2semidirect
10. #19147439C2semidirect
11. #19147435C2semidirect
12. #19147399C2semidirect
13. #19147336C2semidirect
14. #19147283C2semidirect
15. #19147281C2semidirect
16. #19147280C2semidirect
17. #19147272C2semidirect
20. #19145868C2semidirect
21. #19145864C2semidirect
23. #19145753C2semidirect
24. #19144897C2semidirect
25. #19144894C2semidirect
29. #19144632C2semidirect
30. #19143693C2semidirect
31. C43×#3390C2semidirect
775. #3390D43semidirect
979. C43#61866semidirect

Maximal subgroups

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

subgroupindex
#191490752
#191484022
#191475622
#191475242
#191475022
#191474832
#191474822
#191474762
#191474732
#191474392
#191474352
#191473992
#191473362
#191472832
#191472812
#191472802
#191472722
#191458832
#191458792
#191458682
#191458642
#191457752
#191457532
#191448972
#191448942
#191448292
#191448282
#191446802
#191446322
#191436932
C43×#33902
#6186643