Finite Group Databasebeta

← #25987343

Subgroups — #25987343

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#19149081C211yesmaximal, characteristic
2#19148403C211yesmaximal, characteristic, complemented
3#19147559C211yesmaximal, characteristic, complemented
4#19147557C211yesmaximal, characteristic, complemented
5#19147524C211yesmaximal, characteristic, complemented
6#19147500C211yesmaximal, characteristic, complemented
7#19147488C211yesmaximal, characteristic, complemented
8#19147481C211yesmaximal, characteristic, complemented
9#19147478C211yesmaximal, characteristic, complemented
10#19147465C211yesmaximal, characteristic, complemented
11#19147440C211yesmaximal, characteristic, complemented
12#19147436C211yesmaximal, characteristic, complemented
13#19147401C211yesmaximal, characteristic, complemented
14#19147332C211yesmaximal, characteristic, complemented
15#19147279C211yesmaximal, characteristic, complemented
16#19147277C211yesmaximal, characteristic, complemented
17#19147277C211yesmaximal, characteristic, complemented
18#19147272C211yesmaximal, characteristic, complemented
19#19145874C211yesmaximal, characteristic
20#19145867C211yesmaximal, characteristic, complemented
21#19145863C211yesmaximal, characteristic, complemented
22#19145771C211yesmaximal, characteristic
23#19145752C211yesmaximal, characteristic, complemented
24#19144896C211yesmaximal, characteristic, complemented
25#19144891C211yesmaximal, characteristic, complemented
26#19144819C211yesmaximal, characteristic
27#19144818C211yesmaximal, characteristic
28#19144672C211yesmaximal, characteristic
29#19144631C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3243C211yesmaximal, characteristic
32#14583652—21no—
33#14583649—21no—
34#14583629—21no—
35#14583629C2211yescharacteristic
36#14583629C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583627C2211yescharacteristic
39#14583626—21no—
40#14583626—21no—
41#14583626C2211yescharacteristic
42#14583626C2211yescharacteristic
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583625C2211yescharacteristic
46#14583624—21no—
47#14583624C2211yescharacteristic
48#14583624C2211yescharacteristic
49#14583624C2211yescharacteristic
50#14583619C2211yescharacteristic
51#14583618—21no—
52#14583618C2211yescharacteristic
53#14583618C2211yescharacteristic
54#14583608C2211yescharacteristic
55#14583586—21no—
56#14583530C2211yescharacteristic
57#14583528—21no—
58#14583528—21no—
59#14583528—21no—
60#14583516C2211yescharacteristic
61#14583511C2211yescharacteristic
62#14583509—21no—
63#14583509C2211yescharacteristic
64#14583506—21no—
65#14583506—21no—
66#14583452C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451—21no—
69#14583451—21no—
70#14583451C2211yescharacteristic
71#14583430C2211yescharacteristic
72#14583376C2211yescharacteristic
73#14583376C2211yescharacteristic
74C2×#13063290C2211yescharacteristic
75#14583307C2211yescharacteristic
76#14583307C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583300C2211yescharacteristic
82#14583299C2211yescharacteristic
83#14583298C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583269C2211yescharacteristic
86#14583266C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583252C2211yescharacteristic
89#14583252C2211yescharacteristic
90#14583252C2211yescharacteristic
91#14583251C2211yescharacteristic
92#14583248C2211yescharacteristic
93#14583248C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583241C2211yescharacteristic
96#14583241C2211yescharacteristic
97#14583240C2211yescharacteristic
98#14583240C2211yescharacteristic
99#14583237C2211yescharacteristic
100#14583234C2211yescharacteristic
101#14583229C2211yescharacteristic
102#14583220C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583209C2211yescharacteristic
105#14583208C2211yescharacteristic
106#14583208C2211yescharacteristic
107#14583207C2211yescharacteristic
108#14583207C2211yescharacteristic
109#14583205C2211yescharacteristic
110#14583205C2211yescharacteristic
111#14583205C2211yescharacteristic
112#14583205C2211yescharacteristic
113#14583205C2211yescharacteristic
114#14583205C2211yescharacteristic
115#14583204C2211yescharacteristic
116#14583203C2211yescharacteristic
117#14583203C2211yescharacteristic
118#14583201C2211yescharacteristic
119#14583193C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583193C2211yescharacteristic
122#14583193C2211yescharacteristic
123#14583193C2211yescharacteristic
124#14583193C2211yescharacteristic
125#14583191C2211yescharacteristic
126#14583191C2211yescharacteristic
127#14583187C2211yescharacteristic
128#14583183C2211yescharacteristic
129#14583183C2211yescharacteristic
130#14583182C2211yescharacteristic
131#14583181C2211yescharacteristic
132#14583181C2211yescharacteristic
133#14583177C2211yescharacteristic
134#14583177C2211yescharacteristic
135#14583120C2211yescharacteristic
136#14583120C2211yescharacteristic
137#14583120C2211yescharacteristic
138#14583120C2211yescharacteristic
139#14583118C2211yescharacteristic
140#14583118C2211yescharacteristic
141#14583110C2211yescharacteristic
142#14583110C2211yescharacteristic
143#14583108C2211yescharacteristic
144#14583108C2211yescharacteristic
145#14583108C2211yescharacteristic
146#14583108C2211yescharacteristic
147#14583057C2211yescharacteristic
148#14583057C2211yescharacteristic
149#14583054C2211yescharacteristic
150#14583037C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583007C2211yescharacteristic
160#14583007C2211yescharacteristic
161#14583005C2211yescharacteristic
162#14583005C2211yescharacteristic
163#14583004C2211yescharacteristic
164#14583003C2211yescharacteristic
165#14582999C2211yescharacteristic
166#14582996C2211yescharacteristic
167C4×Dic172C2211yescharacteristic
168C4×Dic172C2211yescharacteristic
169#14582993C2211yescharacteristic
170#14582993C2211yescharacteristic
171#14582993C2211yescharacteristic
172#14582993C2211yescharacteristic
173#14582993C2211yescharacteristic
174#14582993C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582991C2211yescharacteristic
177#14582991C2211yescharacteristic
178#14582991C2211yescharacteristic
179#14582990C2211yescharacteristic
180#14582990C2211yescharacteristic
181#14582990C2211yescharacteristic
182C4×#10621883C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#500C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#484C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C22×Dic86C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×Dic172C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212#13063325C2311yescharacteristic
213#13063324—21no—
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#13063324D411yescharacteristic
223#13063324D411yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323—21no—
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316D411yescharacteristic
260#13063316D411yescharacteristic
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
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#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063306—21no—
291#13063306—21no—
292#13063304—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302D411yescharacteristic
307#13063302D411yescharacteristic
308#13063302D411yescharacteristic
309#13063302D411yescharacteristic
310Q8×Dic43—21no—
311Q8×Dic43—21no—
312Q8×Dic43—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
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
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355D4×Dic43—21no—
356D4×Dic43C2311yescharacteristic
357D4×Dic43C2311yescharacteristic
358#13063284—21no—
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C2×C4×Dic43—21no—
372C2×C4×Dic43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C22×Dic43—21no—
488C22×Dic43—21no—
489C22×Dic43—21no—
490C22×Dic43C2×D411yescharacteristic
491C22×Dic43C2×D411yescharacteristic
492C2×Dic86—21no—
493C2×Dic86—22no—
494C2×Dic86—22no—
495C2×Dic86—21no—
496C2×Dic86—21no—
497C2×Dic86—21no—
498C2×Dic86—21no—
499C2×Dic86—21no—
500C2×Dic86—21no—
501C2×Dic86C2×D411yescharacteristic
502C2×Dic86C2×D411yescharacteristic
503C2×Dic86C2×D411yescharacteristic
504C2×Dic86C2×D411yescharacteristic
505C2×Dic86C2411yescharacteristic
506C2×Dic86C2411yescharacteristic
507C2×Dic86C2411yescharacteristic
508C2×Dic86C2411yescharacteristic
509C2×C8×C43C2411yescharacteristic
510C2×C8×C43C2411yescharacteristic
511C2×C8×C43C2411yescharacteristic
512C2×C8×C43C2411yescharacteristic
513C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
524C4⋊C4×C43C2×D411yescharacteristic
525C4⋊C4×C43C2411yescharacteristic
526C4⋊C4×C43C2411yescharacteristic
527C4⋊C4×C43C2411yescharacteristic
528C4⋊C4×C43C2411yescharacteristic
529C4⋊C4×C43C2411yescharacteristic
530C4⋊C4×C43C2411yescharacteristic
531C22⋊C4×C43—21no—
532C22⋊C4×C43—21no—
533C22⋊C4×C43—21no—
534C22⋊C4×C43—21no—
535C22⋊C4×C43—21no—
536C22⋊C4×C43—21no—
537C22⋊C4×C43C2×D411yescharacteristic
538C22⋊C4×C43C2×D411yescharacteristic
539C42×C43—21no—
540C42×C43—21no—
541C42×C43C2411yescharacteristic
542C42×C43C2411yescharacteristic
543C22⋊Dic43—21no—
544C22⋊Dic43—21no—
545C22⋊Dic43—21no—
546C22⋊Dic43—21no—
547C22⋊Dic43—21no—
548C22⋊Dic43—21no—
549C22⋊Dic43—21no—
550C22⋊Dic43—21no—
551C22⋊Dic43—21no—
552C22⋊Dic43C2×D411yescharacteristic
553C22⋊Dic43C2×D411yescharacteristic
554#10621885—22no—
555#10621885—22no—
556#10621883—22no—
557#10621883—22no—
558C4⋊Dic43—21no—
559C4⋊Dic43—21no—
560C4⋊Dic43—21no—
561C4⋊Dic43—21no—
562C4⋊Dic43—21no—
563C4⋊Dic43—21no—
564C4⋊Dic43—21no—
565C4⋊Dic43—21no—
566C4⋊Dic43—21no—
567C4⋊Dic43—21no—
568C4⋊Dic43C2×D411yescharacteristic
569C4⋊Dic43C2×D411yescharacteristic
570C4⋊Dic43C2×D411yescharacteristic
571C4⋊Dic43C2×D411yescharacteristic
572C4⋊Dic43C2×D411yescharacteristic
573C4⋊Dic43C2×D411yescharacteristic
574C4⋊Dic43C2411yescharacteristic
575C4⋊Dic43C2411yescharacteristic
576C4⋊Dic43C2411yescharacteristic
577C4⋊Dic43C2411yescharacteristic
578Dic43⋊C4—21no—
579Dic43⋊C4—21no—
580Dic43⋊C4—21no—
581Dic43⋊C4—21no—
582Dic43⋊C4—21no—
583Dic43⋊C4—21no—
584Dic43⋊C4—21no—
585Dic43⋊C4—21no—
586Dic43⋊C4—21no—
587Dic43⋊C4—21no—
588Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
617Dic43⋊C4C2×D411yescharacteristic
618Dic43⋊C4C2×D411yescharacteristic
619Dic43⋊C4C2×D411yescharacteristic
620Dic43⋊C4C2×D411yescharacteristic
621Dic43⋊C4C2×D411yescharacteristic
622Dic43⋊C4C2×D411yescharacteristic
623Dic43⋊C4C2×D411yescharacteristic
624C4×Dic43—21no—
625C4×Dic43—21no—
626C4×Dic43—21no—
627C4×Dic43—21no—
628C4×Dic43—21no—
629C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
646C4×Dic43C2×D411yescharacteristic
647C4×Dic43C2411yescharacteristic
648C4×Dic43C2411yescharacteristic
649C4×Dic43C2411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C2×C43⋊C8C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655Dic172—22no—
656Dic172—22no—
657Dic172—22no—
658Dic172—22no—
659C23×C43—21no—
660C23×C43C22×D411yescharacteristic
661Q8×C43—21no—
662Q8×C43—21no—
663Q8×C43—81no—
664Q8×C43—81no—
665Q8×C43—81no—
666D4×C43—21no—
667D4×C43—21no—
668D4×C43—81no—
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×C43—21no—
677C2×C4×C43—21no—
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×C43C2511yescharacteristic
686C2×Dic43—24no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—22no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—41no—
697C2×Dic43—42no—
698C2×Dic43—81no—
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707Dic86—24no—
708Dic86—21no—
709Dic86—21no—
710Dic86—22no—
711Dic86—22no—
712Dic86—21no—
713Dic86—21no—
714Dic86—21no—
715Dic86—21no—
716Dic86—41no—
717Dic86—41no—
718Dic86—42no—
719Dic86—81no—
720Dic86—81no—
721Dic86—81no—
722Dic86—81no—
723Dic86—81no—
724Dic862−1+412yes—
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×C43—21no—
736C22×C43—21no—
737C22×C43—21no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43C23×D411yescharacteristic
742C4×C43—21no—
743C4×C43—21no—
744C4×C43—21no—
745C4×C43—21no—
746C4×C43—21no—
747C4×C43—41no—
748C4×C43—41no—
749C4×C43—41no—
750C4×C43—41no—
751C4×C43—41no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43C2×2−1+411yescharacteristic
755C4×C43C2×2−1+411yescharacteristic
756Dic43—21no—
757Dic43—21no—
758Dic43—21no—
759Dic43—21no—
760Dic43—22no—
761Dic43—22no—
762Dic43—21no—
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#3390—431no—
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#3243D4311yescharacteristic
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—41no—
804C2×C43—81no—
805C2×C43#348611yescharacteristic
806C2×C43C2×#57811yescharacteristic
807C2×C43#358411yescharacteristic
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—431no—
822#557—431no—
823#557—861no—
824#557—861no—
825#557—861no—
826#556—431no—
827#556—431no—
828#556—431no—
829#556—861no—
830#554—431no—
831#552—861no—
832#544—431no—
833#544—861no—
834#544—861no—
835#544—861no—
836#544C2×D4311yescharacteristic
837#542—431no—
838#542C2×D4311yescharacteristic
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#501—431no—
856#501C2×D4311yescharacteristic
857#500—431no—
858#500—431no—
859#500C2×D4311yescharacteristic
860#499—431no—
861#499—431no—
862#499—431no—
863#499—431no—
864#498—431no—
865#491—431no—
866#491—431no—
867#489—431no—
868#489C2×D4311yescharacteristic
869#488—431no—
870#488—431no—
871#488—431no—
872#488C2×D4311yescharacteristic
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#485C2×D4311yescharacteristic
883#484—431no—
884#484C2×D4311yescharacteristic
885#483—431no—
886#482—431no—
887#482C2×D4311yescharacteristic
888#480C2×D4311yescharacteristic
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#479—431no—
902#479—431no—
903#479—431no—
904#479C2×D4311yescharacteristic
905#478—431no—
906#478C2×D4311yescharacteristic
907#477—431no—
908#477—431no—
909#477—431no—
910#477—431no—
911#477—431no—
912#477—431no—
913#477—431no—
914#477—431no—
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#474C2×D4311yescharacteristic
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#446—431no—
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#441—431no—
954#441—431no—
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×Q16—431no—
969C4×SD16—431no—
970C4×SD16—431no—
971C4×SD16—431no—
972C4×SD16—431no—
973#433—431no—
974#433—431no—
975#433—431no—
976#433C2×D4311yescharacteristic
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×Q16—431no—
987C2×SD16—431no—
988C2×SD16—431no—
989C4⋊Q8—21no—
990C4⋊Q8—431no—
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—861no—
1002C4⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1020C4⋊Q8C22×D4311yescharacteristic
1021C4⋊Q8C22×D4311yescharacteristic
1022#126—21no—
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—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#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125C22×D4311yescharacteristic
1071#125C22×D4311yescharacteristic
1072#124—21no—
1073#124—431no—
1074#124—431no—
1075#124—861no—
1076#124C22×D4311yescharacteristic
1077#123—21no—
1078#123—861no—
1079#123—861no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1102#121C22×D4311yescharacteristic
1103C4×Q8—431no—
1104C4×Q8—431no—
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—431no—
1124C4×Q8—431no—
1125C4×Q8—431no—
1126C4×Q8—431no—
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×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8C22×D4311yescharacteristic
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—861no—
1152C4×D4C22×D4311yescharacteristic
1153#117—431no—
1154#117—431no—
1155#117—861no—
1156#117—861no—
1157#117—861no—
1158#117—861no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117C22×D4311yescharacteristic
1165#117C22×D4311yescharacteristic
1166C2×C4⋊C4—861no—
1167C2×C4⋊C4—861no—
1168C2×C4⋊C4C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
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#106—431no—
1192#106—431no—
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⋊C8—431no—
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#103—431no—
1228#103—431no—
1229#103C22×D4311yescharacteristic
1230#103C22×D4311yescharacteristic
1231#103C22×D4311yescharacteristic
1232#103C22×D4311yescharacteristic
1233#102—431no—
1234#102—431no—
1235#102C22×D4311yescharacteristic
1236#102C22×D4311yescharacteristic
1237#102C22×D4311yescharacteristic
1238#102C22×D4311yescharacteristic
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8C22×D4311yescharacteristic
1242C22⋊C8C22×D4311yescharacteristic
1243#97—431no—
1244#97—431no—
1245#97—431no—
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—21no—
1258C2×Q8—431no—
1259C2×Q8—431no—
1260C2×Q8—431no—
1261C2×Q8—431no—
1262C2×Q8—431no—
1263C2×Q8—431no—
1264C2×Q8—431no—
1265C2×Q8—431no—
1266C2×Q8—861no—
1267C2×Q8—861no—
1268C2×Q8—861no—
1269C2×Q8—861no—
1270C2×Q8—861no—
1271C2×Q8—861no—
1272C2×Q8—862no—
1273C2×Q8—862no—
1274C2×Q8—861no—
1275C2×Q8C23×D4311yescharacteristic
1276C2×D4—21no—
1277C2×D4C23×D4311yescharacteristic
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—861no—
1283C22×C4—861no—
1284C22×C4—861no—
1285C22×C4C23×D4311yescharacteristic
1286Q16—862no—
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—431no—
1313C4⋊C4—431no—
1314C4⋊C4—431no—
1315C4⋊C4—431no—
1316C4⋊C4—431no—
1317C4⋊C4—431no—
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—861no—
1331C4⋊C4—861no—
1332C4⋊C4—861no—
1333C4⋊C4—861no—
1334C4⋊C4—861no—
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⋊C4—861no—
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—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—21no—
1392C22⋊C4—431no—
1393C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1404C22⋊C4D4×D4311yescharacteristic
1405C42—21no—
1406C42—21no—
1407C42—431no—
1408C42—431no—
1409C42—431no—
1410C42—431no—
1411C42—431no—
1412C42—431no—
1413C42—861no—
1414C42—861no—
1415C42—861no—
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—
1433C42—861no—
1434C42C23×D4311yescharacteristic
1435C42C23×D4311yescharacteristic
1436C23—21no—
1437C23C2×D4×D4311yescharacteristic
1438Q8—21no—
1439Q8—21no—
1440Q8—81no—
1441Q8—81no—
1442Q8—81no—
1443Q8—432no—
1444Q8—432no—
1445Q8—862no—
1446Q8—862no—
1447Q8—864no—
1448Q8—861no—
1449Q8—861no—
1450Q8—861no—
1451Q8—861no—
1452Q8—861no—
1453Q8—861no—
1454Q8—3441no—
1455Q8—3441no—
1456Q8—3441no—
1457Q8—3441no—
1458Q8—3441no—
1459Q8—1721no—
1460Q8—1721no—
1461Q8—1722no—
1462D4—21no—
1463D4—21no—
1464D4—81no—
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—21no—
1474C2×C4—81no—
1475C2×C4—81no—
1476C2×C4—431no—
1477C2×C4—431no—
1478C2×C4—431no—
1479C2×C4—431no—
1480C2×C4—431no—
1481C2×C4—431no—
1482C2×C4—431no—
1483C2×C4—431no—
1484C2×C4—862no—
1485C2×C4—864no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—3441no—
1495C2×C4—1722no—
1496C2×C4—1721no—
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—21no—
1512C22—21no—
1513C22—21no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22C22×D4×D4311yescharacteristic
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—432no—
1531C4—861no—
1532C4—861no—
1533C4—861no—
1534C4—861no—
1535C4—861no—
1536C4—861no—
1537C4—861no—
1538C4—862no—
1539C4—862no—
1540C4—1721no—
1541C4—1721no—
1542C4—1721no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C42−1+4×D4311yescharacteristic
1547C42−1+4×D4311yescharacteristic
1548C2—41no—
1549C2—81no—
1550C2#1914824411yescharacteristic
1551C2#578×D4311yescharacteristic
1552C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3243C2
socleC22×C43C23×D4
prime radical#121×C43C23
hypercenter#3243D43
hypocenterC43#61866
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
2. #19148403C2semidirect
3. #19147559C2semidirect
4. #19147557C2semidirect
5. #19147524C2semidirect
6. #19147500C2semidirect
7. #19147488C2semidirect
8. #19147481C2semidirect
9. #19147478C2semidirect
10. #19147465C2semidirect
11. #19147440C2semidirect
12. #19147436C2semidirect
13. #19147401C2semidirect
14. #19147332C2semidirect
15. #19147279C2semidirect
16. #19147277C2semidirect
17. #19147277C2semidirect
18. #19147272C2semidirect
20. #19145867C2semidirect
21. #19145863C2semidirect
23. #19145752C2semidirect
24. #19144896C2semidirect
25. #19144891C2semidirect
29. #19144631C2semidirect
30. #19143694C2semidirect
979. C43#61866semidirect

Maximal subgroups

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

subgroupindex
#191490812
#191484032
#191475592
#191475572
#191475242
#191475002
#191474882
#191474812
#191474782
#191474652
#191474402
#191474362
#191474012
#191473322
#191472792
#191472772
#191472722
#191458742
#191458672
#191458632
#191457712
#191457522
#191448962
#191448912
#191448192
#191448182
#191446722
#191446312
#191436942
C43×#32432
#6186643