Finite Group Databasebeta

← #25979697

Subgroups — #25979697

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148605C211yesmaximal, characteristic, complemented
2#19148530C211yesmaximal, characteristic, complemented
3#19147657C211yesmaximal, characteristic, complemented
4#19147510C211yesmaximal, characteristic, complemented
5#19147429C211yesmaximal, characteristic, complemented
6#19147412C211yesmaximal, characteristic, complemented
7#19147126C211yesmaximal, characteristic, complemented
8#19147096C211yesmaximal, characteristic, complemented
9#19146866C211yesmaximal, characteristic, complemented
10#19146824C211yesmaximal, characteristic, complemented
11#19146764C211yesmaximal, characteristic, complemented
12#19146749C211yesmaximal, characteristic, complemented
13#19146625C211yesmaximal, characteristic, complemented
14#19146580C211yesmaximal, characteristic, complemented
15#19146231C211yesmaximal, characteristic, complemented
16#19146112C211yesmaximal, characteristic, complemented
17#19146097C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145237C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144882C211yesmaximal, characteristic, complemented
22#19144860C211yesmaximal, characteristic, complemented
23#19144831C211yesmaximal, characteristic, complemented
24#19144786C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144691C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143436C211yesmaximal, characteristic, complemented
30#19143402C211yesmaximal, characteristic, complemented
31C43×#3353C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583629C2211yescharacteristic, complemented
37#14583621—21no—
38#14583621C2211yescharacteristic, complemented
39#14583617C2211yescharacteristic
40#14583616—21no—
41#14583616—21no—
42#14583612C2211yescharacteristic, complemented
43#14583611—21no—
44#14583610C2211yescharacteristic
45#14583597C2211yescharacteristic
46#14583594—21no—
47#14583584C2211yescharacteristic
48#14583576—21no—
49#14583572—21no—
50#14583562C2211yescharacteristic, complemented
51#14583559C2211yescharacteristic
52#14583558C2211yescharacteristic, complemented
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583537—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583523C2211yescharacteristic, complemented
59#14583522C2211yescharacteristic, complemented
60#14583515—21no—
61#14583513—21no—
62#14583502C2211yescharacteristic
63#14583495—21no—
64#14583485—21no—
65#14583453—21no—
66#14583451C2211yescharacteristic, complemented
67#14583432—21no—
68#14583430C2211yescharacteristic
69#14583429C2211yescharacteristic
70#14583406—21no—
71#123×D43—21no—
72#14583380C2211yescharacteristic
73#14583376C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic
82#14583283C2211yescharacteristic, complemented
83#14583266C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583261C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic
89#14583243C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic
95#14583223C2211yescharacteristic, complemented
96#14583212C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583191C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic
104#14583178C2211yescharacteristic
105#14583178C2211yescharacteristic
106#14583178C2211yescharacteristic, complemented
107#14583157C2211yescharacteristic, complemented
108#14583155C2211yescharacteristic, complemented
109#14583152C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic
111#14583146C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic
113#14583141C2211yescharacteristic, complemented
114#14583136C2211yescharacteristic
115#14583133C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583124C2211yescharacteristic, complemented
118#14583122C2211yescharacteristic, complemented
119#14583121C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic
122#14583115C2211yescharacteristic
123#14583114C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583103C2211yescharacteristic
126#14583103C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583063C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic
131#14583056C2211yescharacteristic, complemented
132#14583052C2211yescharacteristic
133#14583051C2211yescharacteristic
134#14583049C2211yescharacteristic
135#14583046C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583040C2211yescharacteristic, complemented
138#14583039C2211yescharacteristic
139#14583037C2211yescharacteristic, complemented
140#14583034C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic, complemented
146#14583005C2211yescharacteristic, complemented
147#14583005C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic
154#14582998C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic
158#14582996C2211yescharacteristic, complemented
159#14582993C2211yescharacteristic, complemented
160#14582993C2211yescharacteristic, complemented
161#14582991C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic, complemented
163C4×#10621873C2211yescharacteristic
164SD16×Dic43C2211yescharacteristic, complemented
165#14582986C2211yescharacteristic
166#14582986C2211yescharacteristic
167#14582986C2211yescharacteristic, complemented
168#14582981C2211yescharacteristic
169#14582981C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582903C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582898C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic
184C2×#13063248C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#500C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#482C2211yescharacteristic, complemented
195C43×#475C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063358—24no—
212#13063353—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C22×C43⋊C8C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324—21no—
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323—21no—
239#13063323C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320D411yescharacteristic
248#13063319—21no—
249#13063319—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318D411yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—21no—
259#13063314—21no—
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313C2311yescharacteristic
263#13063313C2311yescharacteristic
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311D411yescharacteristic
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063309—21no—
277#13063309D411yescharacteristic
278#13063308—21no—
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063306—21no—
285#13063306D411yescharacteristic
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302D411yescharacteristic
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063300C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063299—21no—
306#13063299C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297D411yescharacteristic
315#13063296—21no—
316#13063296—21no—
317#13063295—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284C2311yescharacteristic
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C42×D43—21no—
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#124×C43—21no—
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43—21no—
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508C22×Dic43C2×D411yescharacteristic
509Q8×D43—22no—
510Q8×D43—41no—
511D4×D43—22no—
512D4×D43—41no—
513D4×D43—82no—
514#10621898—22no—
515#10621898—22no—
516#10621898—41no—
517#10621898—41no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—22no—
522C2×D172—41no—
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—82no—
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—22no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—41no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550M16×C43—22no—
551M16×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C42×C43—21no—
580C42×C43—21no—
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621885—41no—
593#10621884—22no—
594#10621884—41no—
595#10621883—22no—
596#10621883—41no—
597#10621882—41no—
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)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—41no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680D344—22no—
681D344—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—41no—
685#10621873—41no—
686#10621873#4114yescomplemented
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—81no—
705Q8×C43—81no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—41no—
709D4×C43—42no—
710D4×C43—81no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—42no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—41no—
745C2×Dic43—41no—
746C2×Dic43—42no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—21no—
756D172—21no—
757D172—21no—
758D172—21no—
759D172—21no—
760D172—42no—
761D172—81no—
762D172—81no—
763D172C2×#4112yes—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—22no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—22no—
841Dic43—21no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353D4311yescharacteristic, complemented
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—42no—
885D43—81no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#556—861no—
896#556—861no—
897#556C2×D4311yescharacteristic, complemented
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547C2×D4311yescharacteristic
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500C2×D4311yescharacteristic, complemented
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484C2×D4311yescharacteristic, complemented
952#484C2×D4311yescharacteristic, complemented
953#482—431no—
954#482—431no—
955#482—431no—
956#482C2×D4311yescharacteristic
957#482C2×D4311yescharacteristic, complemented
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475C2×D4311yescharacteristic, complemented
967#474—431no—
968#474—431no—
969#474—431no—
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic, complemented
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16C2×D4311yescharacteristic, complemented
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436C2×D4311yescharacteristic, complemented
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428C2×D4311yescharacteristic, complemented
1047#428C2×D4311yescharacteristic, complemented
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—864no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8C22×D4311yescharacteristic
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
1103#126—21no—
1104#126—21no—
1105#126—431no—
1106#126—431no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—431no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125—861no—
1122#124—21no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#123—21no—
1138#123—21no—
1139#123—431no—
1140#123—431no—
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—
1153C22⋊Q8—21no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8—431no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8—861no—
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—82no—
1340#41—862no—
1341#41—862no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—861no—
1355C2×Q8—862no—
1356C2×Q8—1721no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4D4×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—434no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—22no—
1422M16—22no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4D4×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—1722no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—81no—
1562Q8—432no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—81no—
1578D4—432no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—861no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—1722no—
1591D4—1721no—
1592D4—1721no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1721no—
1637C2×C4—1721no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—862no—
1663C22—861no—
1664C22—861no—
1665C22—3444no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—862no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—861no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808211yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3353C2
socleC22×C43C23×D4
hypercenter#3353D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3353

Complements

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

NH ≅ G/Ntype
1. #19148605C2semidirect
2. #19148530C2semidirect
3. #19147657C2semidirect
4. #19147510C2semidirect
5. #19147429C2semidirect
6. #19147412C2semidirect
7. #19147126C2semidirect
8. #19147096C2semidirect
9. #19146866C2semidirect
10. #19146824C2semidirect
11. #19146764C2semidirect
12. #19146749C2semidirect
13. #19146625C2semidirect
14. #19146580C2semidirect
15. #19146231C2semidirect
16. #19146112C2semidirect
17. #19146097C2semidirect
18. #19145271C2semidirect
19. #19145237C2semidirect
20. #19145194C2semidirect
21. #19144882C2semidirect
22. #19144860C2semidirect
23. #19144831C2semidirect
24. #19144786C2semidirect
25. #19144699C2semidirect
26. #19144691C2semidirect
27. #19143581C2semidirect
28. #19143449C2semidirect
29. #19143436C2semidirect
30. #19143402C2semidirect
31. C43×#3353C2semidirect
36. #14583629C22semidirect
38. #14583621C22semidirect
42. #14583612C22semidirect
50. #14583562C22semidirect
52. #14583558C22semidirect
58. #14583523C22semidirect
59. #14583522C22semidirect
66. #14583451C22semidirect
73. #14583376C22semidirect
74. #14583375C22semidirect
76. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583290C22semidirect
82. #14583283C22semidirect
83. #14583266C22semidirect
84. #14583261C22semidirect
85. #14583261C22semidirect
86. #14583257C22semidirect
87. #14583255C22semidirect
89. #14583243C22semidirect
90. #14583242C22semidirect
91. #14583240C22semidirect
92. #14583234C22semidirect
93. #14583226C22semidirect
95. #14583223C22semidirect
96. #14583212C22semidirect
97. #14583209C22semidirect
98. #14583205C22semidirect
99. #14583205C22semidirect
100. #14583198C22semidirect
101. #14583193C22semidirect
102. #14583191C22semidirect
106. #14583178C22semidirect
107. #14583157C22semidirect
108. #14583155C22semidirect
109. #14583152C22semidirect
111. #14583146C22semidirect
113. #14583141C22semidirect
115. #14583133C22semidirect
116. #14583130C22semidirect
117. #14583124C22semidirect
118. #14583122C22semidirect
119. #14583121C22semidirect
120. #14583120C22semidirect
123. #14583114C22semidirect
124. #14583113C22semidirect
126. #14583103C22semidirect
129. #14583063C22semidirect
131. #14583056C22semidirect
137. #14583040C22semidirect
139. #14583037C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
144. #14583010C22semidirect
145. #14583008C22semidirect
146. #14583005C22semidirect
147. #14583005C22semidirect
149. #14583002C22semidirect
150. #14582999C22semidirect
154. #14582998C22semidirect
155. #14582998C22semidirect
156. #14582998C22semidirect
158. #14582996C22semidirect
159. #14582993C22semidirect
160. #14582993C22semidirect
161. #14582991C22semidirect
162. #14582990C22semidirect
164. SD16×Dic43C22semidirect
167. #14582986C22semidirect
169. #14582981C22semidirect
171. #14582971C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582934C22semidirect
179. #14582906C22semidirect
182. #14582898C22semidirect
184. C2×#13063248C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
188. C43×#556C22semidirect
190. C43×#500C22semidirect
191. C43×#484C22semidirect
192. C43×#484C22semidirect
194. C43×#482C22semidirect
195. C43×#475C22semidirect
196. C43×#474C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
686. #10621873#41semidirect
852. #3353D43semidirect
897. #556C2×D43semidirect
937. #500C2×D43semidirect
951. #484C2×D43semidirect
952. #484C2×D43semidirect
957. #482C2×D43semidirect
966. #475C2×D43semidirect
970. #474C2×D43semidirect
978. #468C2×D43semidirect
1034. C4×SD16C2×D43semidirect
1038. #436C2×D43semidirect
1046. #428C2×D43semidirect
1047. #428C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486052
#191485302
#191476572
#191475102
#191474292
#191474122
#191471262
#191470962
#191468662
#191468242
#191467642
#191467492
#191466252
#191465802
#191462312
#191461122
#191460972
#191452712
#191452372
#191451942
#191448822
#191448602
#191448312
#191447862
#191446992
#191446912
#191435812
#191434492
#191434362
#191434022
C43×#33532
#6150343