Finite Group Databasebeta

← #25987355

Subgroups — #25987355

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#19149092C211yesmaximal, characteristic, complemented
2#19148415C211yesmaximal, characteristic, complemented
3#19147557C211yesmaximal, characteristic, complemented
4#19147551C211yesmaximal, characteristic, complemented
5#19147540C211yesmaximal, characteristic, complemented
6#19147537C211yesmaximal, characteristic, complemented
7#19147487C211yesmaximal, characteristic, complemented
8#19147471C211yesmaximal, characteristic, complemented
9#19147465C211yesmaximal, characteristic, complemented
10#19147460C211yesmaximal, characteristic, complemented
11#19147443C211yesmaximal, characteristic, complemented
12#19147419C211yesmaximal, characteristic, complemented
13#19147357C211yesmaximal, characteristic, complemented
14#19147341C211yesmaximal, characteristic, complemented
15#19147296C211yesmaximal, characteristic, complemented
16#19147277C211yesmaximal, characteristic, complemented
17#19147239C211yesmaximal, characteristic, complemented
18#19145892C211yesmaximal, characteristic, complemented
19#19145871C211yesmaximal, characteristic, complemented
20#19145862C211yesmaximal, characteristic, complemented
21#19145841C211yesmaximal, characteristic, complemented
22#19145761C211yesmaximal, characteristic, complemented
23#19145758C211yesmaximal, characteristic, complemented
24#19144869C211yesmaximal, characteristic, complemented
25#19144853C211yesmaximal, characteristic, complemented
26#19144805C211yesmaximal, characteristic, complemented
27#19144791C211yesmaximal, characteristic
28#19144610C211yesmaximal, characteristic, complemented
29#19144609C211yesmaximal, characteristic, complemented
30#19143695C211yesmaximal, characteristic, complemented
31C43×#3361C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583635C2211yescharacteristic
35#14583627C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583626C2211yescharacteristic
38#14583626C2211yescharacteristic
39#14583625C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583618C2211yescharacteristic
42#14583618C2211yescharacteristic
43#14583608C2211yescharacteristic
44#14583608C2211yescharacteristic
45#14583608C2211yescharacteristic
46#14583607—21no—
47#14583606C2211yescharacteristic
48#14583606C2211yescharacteristic
49#14583604—21no—
50#14583603—21no—
51#14583603—21no—
52#14583589—21no—
53#14583586—21no—
54#14583529C2211yescharacteristic
55#14583528—21no—
56#14583528—21no—
57#14583526C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583517—21no—
60#14583514C2211yescharacteristic
61#14583513—21no—
62#14583507C2211yescharacteristic
63#14583503C2211yescharacteristic
64#14583493—21no—
65#14583491—21no—
66#14583453C2211yescharacteristic
67#14583451—21no—
68#14583431C2211yescharacteristic
69#14583428C2211yescharacteristic
70C2×#13063315—21no—
71#125×D43C2211yescharacteristic
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583307C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583304C2211yescharacteristic
80#14583301C2211yescharacteristic
81#14583301C2211yescharacteristic
82#14583300C2211yescharacteristic
83#14583300C2211yescharacteristic
84#14583299C2211yescharacteristic
85#14583298C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583263C2211yescharacteristic
89#14583258C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583253C2211yescharacteristic
92#14583252C2211yescharacteristic
93#14583252C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583242C2211yescharacteristic
97#14583239C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583233C2211yescharacteristic
100#14583231C2211yescharacteristic
101#14583228C2211yescharacteristic
102#14583222C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583216C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583211C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583209C2211yescharacteristic
109#14583208C2211yescharacteristic
110#14583208C2211yescharacteristic
111#14583207C2211yescharacteristic
112#14583207C2211yescharacteristic
113#14583207C2211yescharacteristic
114#14583207C2211yescharacteristic
115#14583206C2211yescharacteristic
116#14583205C2211yescharacteristic
117#14583204C2211yescharacteristic
118#14583203C2211yescharacteristic
119#14583203C2211yescharacteristic
120#14583201C2211yescharacteristic
121#14583201C2211yescharacteristic
122#14583199C2211yescharacteristic
123#14583199C2211yescharacteristic
124#14583199C2211yescharacteristic
125#14583197C2211yescharacteristic
126#14583197C2211yescharacteristic
127#14583197C2211yescharacteristic
128#14583197C2211yescharacteristic
129#14583197C2211yescharacteristic
130#14583193C2211yescharacteristic
131#14583192C2211yescharacteristic
132#14583189C2211yescharacteristic
133#14583189C2211yescharacteristic
134#14583187C2211yescharacteristic
135#14583185C2211yescharacteristic
136#14583185C2211yescharacteristic
137#14583181C2211yescharacteristic
138#14583177C2211yescharacteristic
139#14583177C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583120C2211yescharacteristic
142#14583120C2211yescharacteristic
143#14583118C2211yescharacteristic
144#14583118C2211yescharacteristic
145#14583112C2211yescharacteristic
146#14583112C2211yescharacteristic
147#14583108C2211yescharacteristic
148#14583102C2211yescharacteristic
149#14583096C2211yescharacteristic
150#14583062C2211yescharacteristic
151#14583058C2211yescharacteristic
152#14583041C2211yescharacteristic
153#14583041C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583011C2211yescharacteristic
162#14583011C2211yescharacteristic
163#14583004C2211yescharacteristic
164#14583003C2211yescharacteristic
165#14582999C2211yescharacteristic
166#14582999C2211yescharacteristic
167#14582999C2211yescharacteristic
168#14582996C2211yescharacteristic
169C4×Dic172C2211yescharacteristic
170C4×Dic172C2211yescharacteristic
171C4×Dic172C2211yescharacteristic
172#14582991C2211yescharacteristic
173#14582990C2211yescharacteristic
174#14582990C2211yescharacteristic
175#14582990C2211yescharacteristic
176SD16×Dic43C2211yescharacteristic
177SD16×Dic43C2211yescharacteristic
178C4×#10621883C2211yescharacteristic
179C4×#10621883C2211yescharacteristic
180D8×Dic43C2211yescharacteristic
181D8×Dic43C2211yescharacteristic
182#14582959C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582958C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#554C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#488C2211yescharacteristic
192C43×#486C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#459C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×#10621885C2311yescharacteristic
206C2×#10621883C2311yescharacteristic
207C2×#10621883C2311yescharacteristic
208C2×#10621883C2311yescharacteristic
209#13063325C2311yescharacteristic
210#13063325C2311yescharacteristic
211#13063324—21no—
212#13063324—21no—
213#13063324—21no—
214#13063324—21no—
215#13063324D411yescharacteristic
216#13063324C2311yescharacteristic
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063323—21no—
220#13063323—21no—
221#13063323—21no—
222#13063323—21no—
223#13063323D411yescharacteristic
224#13063323C2311yescharacteristic
225#13063320—21no—
226#13063319—21no—
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063317—21no—
236#13063317—21no—
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
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#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315D411yescharacteristic
264#13063315D411yescharacteristic
265#13063312—21no—
266#13063312C2311yescharacteristic
267#13063312C2311yescharacteristic
268#13063311—21no—
269#13063311—21no—
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305D411yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063304—21no—
285#13063304—21no—
286#13063304—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303D411yescharacteristic
290#13063303D411yescharacteristic
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063301—21no—
305#13063301D411yescharacteristic
306#13063301C2311yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311Q8×Dic43—21no—
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314C4×Dic86—21no—
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331D4×Dic43—21no—
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063283C2311yescharacteristic
349#13063282C2311yescharacteristic
350#13063282C2311yescharacteristic
351#13063281—21no—
352#13063281—21no—
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356#13063281—21no—
357C2×C4⋊Dic43—21no—
358C2×C4⋊Dic43—21no—
359C2×Dic43⋊C4—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×D43C2311yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C2×C4×Dic43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C2×D8×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#127×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502#10621900—22no—
503#10621900—22no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43C2×D411yescharacteristic
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2411yescharacteristic
509C2×Dic86—21no—
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—
520D8×C43—22no—
521D8×C43—22no—
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
533C4⋊C4×C43C2×D411yescharacteristic
534C4⋊C4×C43C2×D411yescharacteristic
535C4⋊C4×C43C2411yescharacteristic
536C4⋊C4×C43C2411yescharacteristic
537C4⋊C4×C43C2411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C22⋊C4×C43—21no—
540C22⋊C4×C43—21no—
541C22⋊C4×C43—21no—
542C22⋊C4×C43—21no—
543C22⋊C4×C43—21no—
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C42×C43—21no—
549C42×C43C2411yescharacteristic
550C42×C43C2411yescharacteristic
551C42×C43C2411yescharacteristic
552C22⋊Dic43—21no—
553C22⋊Dic43—21no—
554C22⋊Dic43—21no—
555C22⋊Dic43—21no—
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565#10621885—22no—
566#10621883—22no—
567#10621883—22no—
568#10621883—22no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4C2×D411yescharacteristic
573(C2×D43)⋊C4C2×D411yescharacteristic
574(C2×D43)⋊C4C2×D411yescharacteristic
575(C2×D43)⋊C4C2×D411yescharacteristic
576C4⋊Dic43—21no—
577C4⋊Dic43—21no—
578C4⋊Dic43—21no—
579C4⋊Dic43—21no—
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43C2×D411yescharacteristic
588C4⋊Dic43C2×D411yescharacteristic
589C4⋊Dic43C2×D411yescharacteristic
590C4⋊Dic43C2411yescharacteristic
591C4⋊Dic43C2411yescharacteristic
592C4⋊Dic43C2411yescharacteristic
593C4⋊Dic43C2411yescharacteristic
594C4⋊Dic43C2411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
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⋊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×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658Dic172—22no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C22×D43C22×D411yescharacteristic
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—41no—
666Q8×C43—81no—
667D4×C43—21no—
668D4×C43—21no—
669D4×C43—21no—
670D4×C43—21no—
671D4×C43—21no—
672D4×C43—81no—
673D4×C43—81no—
674D4×C432−1+412yes—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—81no—
681C2×C4×C43—81no—
682C2×C4×C43—81no—
683C2×C4×C43—81no—
684C2×C4×C43—81no—
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C2511yescharacteristic
692C22⋊D43—24no—
693C22⋊D43—81no—
694C22⋊D43—81no—
695C2×Dic43—24no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—81no—
705C2×Dic43—81no—
706C2×Dic43—81no—
707C2×Dic43—81no—
708C2×Dic43—81no—
709C2×Dic43—81no—
710C2×Dic43—81no—
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C4×D43—21no—
719C4×D43—21no—
720C4×D43—41no—
721C4×D43—41no—
722C4×D43—81no—
723C4×D43—81no—
724Dic86—21no—
725Dic86—21no—
726Dic86—21no—
727Dic86—41no—
728Dic86—41no—
729Dic86—41no—
730Dic86—81no—
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×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43C23×D411yescharacteristic
755C2×D43—21no—
756C2×D43—21no—
757C2×D43—21no—
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×C43C2×2−1+411yescharacteristic
770C4×C43C2×2−1+411yescharacteristic
771Dic43—21no—
772Dic43—21no—
773Dic43—21no—
774Dic43—21no—
775Dic43—21no—
776Dic43—21no—
777Dic43—22no—
778Dic43—21no—
779Dic43—41no—
780Dic43—41no—
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#3388—431no—
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#3361D4311yescharacteristic, complemented
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—81no—
819C2×C43—81no—
820C2×C43#348611yescharacteristic
821C2×C43#358411yescharacteristic
822C2×C43#358411yescharacteristic
823D43—41no—
824#563—861no—
825#563—861no—
826#559—431no—
827#559C2×D4311yescharacteristic
828#557—431no—
829#557—431no—
830#557—431no—
831#557—431no—
832#557—431no—
833#557—431no—
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#501—431no—
872#501—431no—
873#500—431no—
874#499—431no—
875#499—431no—
876#499—431no—
877#499—431no—
878#499—431no—
879#499—431no—
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#488C2×D4311yescharacteristic
890#488C2×D4311yescharacteristic
891#487—431no—
892#486C2×D4311yescharacteristic
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#479—431no—
916#479—431no—
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#477C2×D4311yescharacteristic
932#476—431no—
933#476—431no—
934#476—431no—
935#475—431no—
936#475—431no—
937#475—431no—
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#463C2×D4311yescharacteristic
948#463C2×D4311yescharacteristic
949#462—431no—
950#461—431no—
951#460—431no—
952#459C2×D4311yescharacteristic
953#452—431no—
954#452—431no—
955#449—431no—
956#449—431no—
957#446—431no—
958#446—431no—
959#446—431no—
960#446—431no—
961C8×Q8—431no—
962C8×Q8—431no—
963C8×Q8—431no—
964C8×Q8C2×D4311yescharacteristic
965#442—431no—
966#442—431no—
967#441—431no—
968#441—431no—
969#440—431no—
970#440—431no—
971#440—431no—
972#440—431no—
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×D8C2×D4311yescharacteristic
988C4×D8C2×D4311yescharacteristic
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×D8C22×D4311yescharacteristic
1004C2×D8C22×D4311yescharacteristic
1005C4⋊Q8—431no—
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⋊Q8—861no—
1021C4⋊Q8C22×D4311yescharacteristic
1022#127C22×D4311yescharacteristic
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—431no—
1034#125—431no—
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#125—861no—
1062#125—861no—
1063#125C22×D4311yescharacteristic
1064#125C22×D4311yescharacteristic
1065#124—21no—
1066#124—431no—
1067#124—431no—
1068#124—861no—
1069#124—861no—
1070#124—861no—
1071#124C22×D4311yescharacteristic
1072#124C22×D4311yescharacteristic
1073#123—21no—
1074#123—21no—
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—431no—
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—431no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8C22×D4311yescharacteristic
1140C4×Q8C22×D4311yescharacteristic
1141C4×D4—21no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—431no—
1149C4×D4—861no—
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×D4C22×D4311yescharacteristic
1159C4×D4C22×D4311yescharacteristic
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#107—431no—
1196#107—431no—
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#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
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#102C22×D4311yescharacteristic
1249#102C22×D4311yescharacteristic
1250#102C22×D4311yescharacteristic
1251#102C22×D4311yescharacteristic
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#97—431no—
1262#97—431no—
1263C4×C8—431no—
1264C4×C8—431no—
1265C4×C8—431no—
1266C4×C8—431no—
1267C4×C8—431no—
1268C4×C8C22×D4311yescharacteristic
1269C4×C8C22×D4311yescharacteristic
1270C4×C8C22×D4311yescharacteristic
1271#41—862no—
1272#41—862no—
1273C2×Q8—21no—
1274C2×Q8—431no—
1275C2×Q8—431no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—431no—
1279C2×Q8—861no—
1280C2×Q8—861no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8—861no—
1284C2×Q8D4×D4311yescharacteristic
1285C2×Q8C23×D4311yescharacteristic
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—861no—
1289C2×D4—861no—
1290C2×D4—861no—
1291C2×D4C23×D4311yescharacteristic
1292C2×D4C23×D4311yescharacteristic
1293C2×D4C23×D4311yescharacteristic
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—431no—
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—22no—
1319D8—22no—
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—431no—
1335C4⋊C4—431no—
1336C4⋊C4—431no—
1337C4⋊C4—431no—
1338C4⋊C4—431no—
1339C4⋊C4—431no—
1340C4⋊C4—431no—
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—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⋊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⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4D4×D4311yescharacteristic
1396C4⋊C4D4×D4311yescharacteristic
1397C4⋊C4D4×D4311yescharacteristic
1398C4⋊C4C23×D4311yescharacteristic
1399C4⋊C4C23×D4311yescharacteristic
1400C4⋊C4C23×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—431no—
1412C22⋊C4—431no—
1413C22⋊C4—431no—
1414C22⋊C4—431no—
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—431no—
1433C42—431no—
1434C42—431no—
1435C42—431no—
1436C42—431no—
1437C42—861no—
1438C42—861no—
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—21no—
1454C23—21no—
1455C23—431no—
1456Q8—21no—
1457Q8—21no—
1458Q8—41no—
1459Q8—81no—
1460Q8—432no—
1461Q8—861no—
1462Q8—861no—
1463Q8—861no—
1464Q8—3441no—
1465Q8—3441no—
1466Q8—3441no—
1467Q8—3441no—
1468Q8—3441no—
1469Q8—1721no—
1470Q8—1721no—
1471Q8—1721no—
1472D4—21no—
1473D4—21no—
1474D4—21no—
1475D4—21no—
1476D4—21no—
1477D4—81no—
1478D4—81no—
1479D4—864no—
1480D4—3441no—
1481D4—3441no—
1482D4#1306337212yes—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—81no—
1489C2×C4—81no—
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—861no—
1510C2×C4—861no—
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—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—861no—
1547C22—861no—
1548C22—861no—
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—861no—
1562C4—861no—
1563C4—861no—
1564C4—861no—
1565C4—861no—
1566C4—861no—
1567C4—861no—
1568C4—862no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C42−1+4×D4311yescharacteristic
1577C4C2×#1306337211yescharacteristic
1578C2—42no—
1579C2—81no—
1580C2—81no—
1581C2—1721no—
1582C2#1914824111yescharacteristic
1583C2#1914936311yescharacteristic
1584C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3361C2
socleC22×C43C23×D4
prime radical#19144791C2
hypercenter#3361D43
hypocenterC43#61867
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3361

Complements

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

NH ≅ G/Ntype
1. #19149092C2semidirect
2. #19148415C2semidirect
3. #19147557C2semidirect
4. #19147551C2semidirect
5. #19147540C2semidirect
6. #19147537C2semidirect
7. #19147487C2semidirect
8. #19147471C2semidirect
9. #19147465C2semidirect
10. #19147460C2semidirect
11. #19147443C2semidirect
12. #19147419C2semidirect
13. #19147357C2semidirect
14. #19147341C2semidirect
15. #19147296C2semidirect
16. #19147277C2semidirect
17. #19147239C2semidirect
18. #19145892C2semidirect
19. #19145871C2semidirect
20. #19145862C2semidirect
21. #19145841C2semidirect
22. #19145761C2semidirect
23. #19145758C2semidirect
24. #19144869C2semidirect
25. #19144853C2semidirect
26. #19144805C2semidirect
28. #19144610C2semidirect
29. #19144609C2semidirect
30. #19143695C2semidirect
31. C43×#3361C2semidirect
802. #3361D43semidirect
995. C43#61867semidirect

Maximal subgroups

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

subgroupindex
#191490922
#191484152
#191475572
#191475512
#191475402
#191475372
#191474872
#191474712
#191474652
#191474602
#191474432
#191474192
#191473572
#191473412
#191472962
#191472772
#191472392
#191458922
#191458712
#191458622
#191458412
#191457612
#191457582
#191448692
#191448532
#191448052
#191447912
#191446102
#191446092
#191436952
C43×#33612
#6186743