Finite Group Databasebeta

← #25988672

Subgroups — #25988672

Order 11008.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149001C211yesmaximal, characteristic, complemented
2#19148488C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147679C211yesmaximal, characteristic, complemented
5#19147675C211yesmaximal, characteristic, complemented
6#19147672C211yesmaximal, characteristic, complemented
7#19147665C211yesmaximal, characteristic, complemented
8#19147664C211yesmaximal, characteristic, complemented
9#19147663C211yesmaximal, characteristic, complemented
10#19147654C211yesmaximal, characteristic, complemented
11#19147412C211yesmaximal, characteristic, complemented
12#19147392C211yesmaximal, characteristic, complemented
13#19147384C211yesmaximal, characteristic, complemented
14#19147335C211yesmaximal, characteristic, complemented
15#19147332C211yesmaximal, characteristic, complemented
16#19147316C211yesmaximal, characteristic, complemented
17#19147312C211yesmaximal, characteristic, complemented
18#19145709C211yesmaximal, characteristic, complemented
19#19145705C211yesmaximal, characteristic, complemented
20#19145694C211yesmaximal, characteristic, complemented
21#19145692C211yesmaximal, characteristic, complemented
22#19145596C211yesmaximal, characteristic, complemented
23#19145583C211yesmaximal, characteristic, complemented
24#19144830C211yesmaximal, characteristic, complemented
25#19144829C211yesmaximal, characteristic, complemented
26#19144786C211yesmaximal, characteristic, complemented
27#19144783C211yesmaximal, characteristic, complemented
28#19144753C211yesmaximal, characteristic, complemented
29#19144748C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3375C211yesmaximal, characteristic, complemented
32#14583648—21no—
33#14583648—21no—
34#14583635C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583634C2211yescharacteristic, complemented
37#14583632C2211yescharacteristic
38#14583631C2211yescharacteristic
39#14583629C2211yescharacteristic, complemented
40#14583622C2211yescharacteristic
41#14583621—21no—
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic, complemented
44#14583621C2211yescharacteristic, complemented
45#14583619C2211yescharacteristic
46#14583618C2211yescharacteristic
47#14583579—21no—
48#14583578—21no—
49#14583577—21no—
50#14583572—21no—
51#14583564—21no—
52#14583564C2211yescharacteristic, complemented
53#14583564C2211yescharacteristic, complemented
54#14583523—21no—
55#14583523C2211yescharacteristic
56#14583523C2211yescharacteristic
57#14583521—21no—
58#14583521C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583517—21no—
61#14583513—21no—
62#14583474—21no—
63#14583474—21no—
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583450C2211yescharacteristic
69#14583429—21no—
70#14583426—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583293C2211yescharacteristic, complemented
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic, complemented
78#14583290C2211yescharacteristic
79#14583289C2211yescharacteristic
80#14583288C2211yescharacteristic
81#14583286C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583283C2211yescharacteristic
84#14583281C2211yescharacteristic, complemented
85#14583280C2211yescharacteristic
86#14583280C2211yescharacteristic, complemented
87#14583261C2211yescharacteristic
88#14583261C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583257C2211yescharacteristic, complemented
93#14583251C2211yescharacteristic, complemented
94#14583248C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic
96#14583242C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583226C2211yescharacteristic
99#14583226C2211yescharacteristic
100#14583193C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583187C2211yescharacteristic
103#14583187C2211yescharacteristic, complemented
104#14583186C2211yescharacteristic
105#14583182C2211yescharacteristic, complemented
106#14583181C2211yescharacteristic, complemented
107#14583181C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583124C2211yescharacteristic, complemented
110#14583123C2211yescharacteristic, complemented
111#14583122C2211yescharacteristic
112#14583122C2211yescharacteristic, complemented
113#14583121C2211yescharacteristic
114#14583121C2211yescharacteristic
115#14583121C2211yescharacteristic, complemented
116#14583120C2211yescharacteristic
117#14583120C2211yescharacteristic, complemented
118#14583118C2211yescharacteristic
119#14583117C2211yescharacteristic
120#14583117C2211yescharacteristic
121#14583117C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583115C2211yescharacteristic
124#14583115C2211yescharacteristic
125#14583114C2211yescharacteristic
126#14583113C2211yescharacteristic
127#14583113C2211yescharacteristic
128#14583113C2211yescharacteristic
129#14583113C2211yescharacteristic, complemented
130#14583111C2211yescharacteristic, complemented
131#14583109C2211yescharacteristic, complemented
132#14583108C2211yescharacteristic, complemented
133#14583108C2211yescharacteristic, complemented
134#14583105C2211yescharacteristic, complemented
135#14583103C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583100C2211yescharacteristic, complemented
138#14583098C2211yescharacteristic
139#14583094C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic
141#14583091C2211yescharacteristic
142#14583062C2211yescharacteristic
143#14583058C2211yescharacteristic
144#14583056C2211yescharacteristic
145#14583053C2211yescharacteristic
146#14583051C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583045C2211yescharacteristic
149#14583045C2211yescharacteristic
150#14583039C2211yescharacteristic
151#14583039C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583008C2211yescharacteristic, complemented
164#14583008C2211yescharacteristic, complemented
165#14583007C2211yescharacteristic, complemented
166#14583004C2211yescharacteristic, complemented
167#14583004C2211yescharacteristic, complemented
168#14583003C2211yescharacteristic, complemented
169#14582999C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic
171#14582998C2211yescharacteristic, complemented
172#14582998C2211yescharacteristic, complemented
173#14582998C2211yescharacteristic, complemented
174#14582997C2211yescharacteristic, complemented
175#14582993C2211yescharacteristic, complemented
176#14582990C2211yescharacteristic
177C4×#10621873C2211yescharacteristic, complemented
178C4×#10621884C2211yescharacteristic
179#14582984C2211yescharacteristic, complemented
180#14582981C2211yescharacteristic
181C4×#10621882C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189Q82×C43C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic
191C43×#489C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic
193C43×#477C2211yescharacteristic, complemented
194C43×#474C2211yescharacteristic
195C43×#474C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324D411yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063323D411yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063319—21no—
251#13063319—21no—
252#13063319—21no—
253#13063319—21no—
254#13063319—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063315D411yescharacteristic
262#13063314—21no—
263#13063314—21no—
264#13063314—21no—
265#13063314—21no—
266#13063314C2311yescharacteristic
267#13063314C2311yescharacteristic
268#13063314C2311yescharacteristic
269#13063313—21no—
270#13063313—21no—
271#13063313—21no—
272#13063313C2311yescharacteristic
273#13063313C2311yescharacteristic
274#13063313C2311yescharacteristic
275#13063313C2311yescharacteristic
276#13063312—21no—
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063312C2311yescharacteristic
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063309—21no—
293#13063308—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063306—21no—
299#13063306—21no—
300#13063305D411yescharacteristic
301#13063305C2311yescharacteristic
302#13063304—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063303D411yescharacteristic
314#13063303D411yescharacteristic
315#13063302—21no—
316#13063302—21no—
317#13063302—21no—
318#13063301—21no—
319#13063301—21no—
320#13063301—21no—
321#13063301—21no—
322#13063301—21no—
323#13063301D411yescharacteristic
324#13063301C2311yescharacteristic
325#13063300—21no—
326#13063300C2311yescharacteristic
327#13063300C2311yescharacteristic
328#13063297—21no—
329#13063297—21no—
330#13063293—21no—
331#13063293—21no—
332Q8×Dic43C2311yescharacteristic
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347C4×D172—21no—
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367#13063284—21no—
368#13063283—21no—
369#13063283—21no—
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43—21no—
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498#10621902—82no—
499Q8×D43—41no—
500Q8×D43—41no—
501Q8×D43—82no—
502Q8×D43—82no—
503#10621900—41no—
504#10621900—41no—
505D4×D43—41no—
506D4×D43—41no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537SD16×C43—41no—
538SD16×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C42×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43C2411yescharacteristic
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578#10621885—41no—
579#10621885—41no—
580#10621885—41no—
581#10621884—41no—
582#10621884—41no—
583#10621884—41no—
584#10621883—41no—
585#10621883—41no—
586#10621882—41no—
587#10621882—41no—
588#10621882—41no—
589#10621882—41no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673Dic172—41no—
674Dic172—41no—
675D344—41no—
676D344—41no—
677#10621873—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—41no—
696Q8×C43—81no—
697Q8×C43—81no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—81no—
704D4×C43—81no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C2511yescharacteristic
720C22⋊D43—42no—
721C22⋊D43—42no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—42no—
730C2×Dic43—81no—
731C2×Dic43—81no—
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739D172—21no—
740D172—21no—
741D172—21no—
742D172—21no—
743D172—21no—
744D172—21no—
745D172—42no—
746D172—81no—
747D172—81no—
748D172—81no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—41no—
752C4×D43—41no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—41no—
769Dic86—41no—
770Dic86—41no—
771Dic86—42no—
772Dic86—42no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61944—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43C23×D411yescharacteristic
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—162no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43#58511yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3550—431no—
831#3510—431no—
832#3403—431no—
833#3403—431no—
834#3402—431no—
835#3402—431no—
836#3401—431no—
837#3401—431no—
838#3401—431no—
839#3401—431no—
840#3375—431no—
841#3375D4311yescharacteristic, complemented
842#3373—431no—
843#3373—431no—
844#3369—431no—
845#3369—431no—
846#3367—431no—
847#3367—431no—
848#3225—431no—
849#3225—431no—
850#3224—431no—
851#3224—431no—
852#3215—431no—
853#3213—431no—
854#3121—431no—
855#3121—431no—
856#3118—431no—
857#3118—431no—
858#3116—431no—
859#3115—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
866D43—41no—
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#559—431no—
877#559C2×D4311yescharacteristic
878Q82—431no—
879Q82C2×D4311yescharacteristic, complemented
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#551—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891D4×Q8—431no—
892D4×Q8—431no—
893D4×Q8—861no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—431no—
898#542—861no—
899#542—861no—
900#542—861no—
901#542—861no—
902#536—431no—
903#536—861no—
904#536—861no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—861no—
910#529—861no—
911C2×#124—431no—
912#519—431no—
913#518—431no—
914C4×#41—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#496—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#495—431no—
926#495—431no—
927#489—431no—
928#489—431no—
929#489—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489C2×D4311yescharacteristic
934#489C2×D4311yescharacteristic, complemented
935#487—431no—
936#487—431no—
937#486—431no—
938#486C2×D4311yescharacteristic
939#485—431no—
940#485—431no—
941#482—431no—
942#482—431no—
943#477—431no—
944#477—431no—
945#477C2×D4311yescharacteristic, complemented
946#476—431no—
947#476—431no—
948#476—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474C2×D4311yescharacteristic
954#474C2×D4311yescharacteristic, complemented
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464—431no—
965#464C2×D4311yescharacteristic
966#464C2×D4311yescharacteristic, complemented
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463—431no—
978#463—431no—
979#462—431no—
980#462—431no—
981#462—431no—
982#461—431no—
983#461—431no—
984#461—431no—
985#460—431no—
986#460—431no—
987#460C2×D4311yescharacteristic
988#459—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#451—431no—
994#451—431no—
995#450—431no—
996#450—431no—
997#449—431no—
998#449—431no—
999#448—431no—
1000#448—431no—
1001#447—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#442—431no—
1015#441—431no—
1016#441—431no—
1017#441—431no—
1018#441—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440C2×D4311yescharacteristic
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6194411yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C22×Q8—431no—
1045C22×Q8—861no—
1046C22×Q8—861no—
1047C22×D4—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8—431no—
1072C4⋊Q8—21no—
1073C4⋊Q8—21no—
1074C4⋊Q8—21no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8C22×D4311yescharacteristic
1087C4⋊Q8C22×D4311yescharacteristic
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—431no—
1091#127C22×D4311yescharacteristic
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#124—21no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124C22×D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#123—21no—
1137#123—21no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—21no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C42—431no—
1248C2×C42—861no—
1249#107—431no—
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#107C22×D4311yescharacteristic
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—1721no—
1320#41—1721no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—3442no—
1335C2×Q8—3442no—
1336C2×Q8—1721no—
1337C2×Q8—1721no—
1338C2×Q8D4×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4C23×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375Q16—41no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393D8—1721no—
1394D8—1721no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4D4×D4311yescharacteristic
1449C4⋊C4D4×D4311yescharacteristic
1450C4⋊C4D4×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—431no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—431no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—41no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—861no—
1543Q8—861no—
1544Q8—3441no—
1545Q8—3441no—
1546Q8—1721no—
1547Q8—1721no—
1548Q8—1721no—
1549Q8—1722no—
1550Q8—1722no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—81no—
1556D4—81no—
1557D4—861no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—861no—
1629C22—861no—
1630C22—861no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—6882no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373611yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—3441no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914825211yescharacteristic
1675C2#1914937011yescharacteristic
1676C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3375C2
socleC22×C43C23×D4
hypercenter#3375D43
hypocenterC43#61944
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #19149001C2semidirect
2. #19148488C2semidirect
3. #19147684C2semidirect
4. #19147679C2semidirect
5. #19147675C2semidirect
6. #19147672C2semidirect
7. #19147665C2semidirect
8. #19147664C2semidirect
9. #19147663C2semidirect
10. #19147654C2semidirect
11. #19147412C2semidirect
12. #19147392C2semidirect
13. #19147384C2semidirect
14. #19147335C2semidirect
15. #19147332C2semidirect
16. #19147316C2semidirect
17. #19147312C2semidirect
18. #19145709C2semidirect
19. #19145705C2semidirect
20. #19145694C2semidirect
21. #19145692C2semidirect
22. #19145596C2semidirect
23. #19145583C2semidirect
24. #19144830C2semidirect
25. #19144829C2semidirect
26. #19144786C2semidirect
27. #19144783C2semidirect
28. #19144753C2semidirect
29. #19144748C2semidirect
30. #19143698C2semidirect
31. C43×#3375C2semidirect
35. #14583634C22semidirect
36. #14583634C22semidirect
39. #14583629C22semidirect
43. #14583621C22semidirect
44. #14583621C22semidirect
52. #14583564C22semidirect
53. #14583564C22semidirect
75. #14583293C22semidirect
77. #14583292C22semidirect
84. #14583281C22semidirect
86. #14583280C22semidirect
92. #14583257C22semidirect
93. #14583251C22semidirect
94. #14583248C22semidirect
100. #14583193C22semidirect
101. #14583193C22semidirect
103. #14583187C22semidirect
105. #14583182C22semidirect
106. #14583181C22semidirect
107. #14583181C22semidirect
109. #14583124C22semidirect
110. #14583123C22semidirect
112. #14583122C22semidirect
115. #14583121C22semidirect
117. #14583120C22semidirect
129. #14583113C22semidirect
130. #14583111C22semidirect
131. #14583109C22semidirect
132. #14583108C22semidirect
133. #14583108C22semidirect
134. #14583105C22semidirect
135. #14583103C22semidirect
136. #14583102C22semidirect
137. #14583100C22semidirect
139. #14583094C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
163. #14583008C22semidirect
164. #14583008C22semidirect
165. #14583007C22semidirect
166. #14583004C22semidirect
167. #14583004C22semidirect
168. #14583003C22semidirect
169. #14582999C22semidirect
171. #14582998C22semidirect
172. #14582998C22semidirect
173. #14582998C22semidirect
174. #14582997C22semidirect
175. #14582993C22semidirect
177. C4×#10621873C22semidirect
179. #14582984C22semidirect
189. Q82×C43C22semidirect
191. C43×#489C22semidirect
193. C43×#477C22semidirect
195. C43×#474C22semidirect
197. C43×#464C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
841. #3375D43semidirect
879. Q82C2×D43semidirect
934. #489C2×D43semidirect
945. #477C2×D43semidirect
954. #474C2×D43semidirect
966. #464C2×D43semidirect
1010. #446C2×D43semidirect
1026. #440C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1041. C43#61944semidirect

Maximal subgroups

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

subgroupindex
#191490012
#191484882
#191476842
#191476792
#191476752
#191476722
#191476652
#191476642
#191476632
#191476542
#191474122
#191473922
#191473842
#191473352
#191473322
#191473162
#191473122
#191457092
#191457052
#191456942
#191456922
#191455962
#191455832
#191448302
#191448292
#191447862
#191447832
#191447532
#191447482
#191436982
C43×#33752
#6194443