Finite Group Databasebeta

← #25979543

Subgroups — #25979543

Order 11008.

1816 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#19148684C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic
3#19147629C211yesmaximal, characteristic, complemented
4#19147511C211yesmaximal, characteristic, complemented
5#19147277C211yesmaximal, characteristic, complemented
6#19147235C211yesmaximal, characteristic, complemented
7#19147177C211yesmaximal, characteristic, complemented
8#19147054C211yesmaximal, characteristic, complemented
9#19147050C211yesmaximal, characteristic, complemented
10#19146508C211yesmaximal, characteristic, complemented
11#19146472C211yesmaximal, characteristic, complemented
12#19146466C211yesmaximal, characteristic, complemented
13#19146455C211yesmaximal, characteristic, complemented
14#19146426C211yesmaximal, characteristic, complemented
15#19146239C211yesmaximal, characteristic, complemented
16#19146109C211yesmaximal, characteristic, complemented
17#19146101C211yesmaximal, characteristic, complemented
18#19145262C211yesmaximal, characteristic, complemented
19#19145258C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144823C211yesmaximal, characteristic, complemented
22#19144819C211yesmaximal, characteristic, complemented
23#19144814C211yesmaximal, characteristic, complemented
24#19144810C211yesmaximal, characteristic, complemented
25#19144722C211yesmaximal, characteristic, complemented
26#19144689C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143441C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30C2×#14582990C211yesmaximal, characteristic, complemented
31C43×#3296C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35#14583627C2211yescharacteristic, complemented
36#14583626—21no—
37#14583626C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583617C2211yescharacteristic, complemented
40#14583616—21no—
41#14583607C2211yescharacteristic
42#14583606C2211yescharacteristic
43#14583586—21no—
44#14583586—21no—
45#14583584C2211yescharacteristic
46#14583582—21no—
47#14583580—21no—
48#14583575—21no—
49D4×Dic86C2211yescharacteristic
50D4×Dic86C2211yescharacteristic
51#14583562C2211yescharacteristic
52#14583562C2211yescharacteristic, complemented
53#14583555—21no—
54#14583549C2211yescharacteristic
55#14583548C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583518C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583512C2211yescharacteristic, complemented
60#14583509C2211yescharacteristic, complemented
61#14583508—21no—
62#14583506—21no—
63#14583494—21no—
64#14583493—21no—
65#14583452—21no—
66#14583451C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583429C2211yescharacteristic
69#14583426—21no—
70#14583405—21no—
71C2×#13063302—21no—
72#14583382C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C2×#13063290C2211yescharacteristic
77C2×D4×Dic43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583277C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic
85#14583250C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic
93#14583235C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic
95#14583231C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic
97#14583227C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic
99#14583208C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic
102#14583195C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583184C2211yescharacteristic, complemented
105#14583183C2211yescharacteristic, complemented
106#14583183C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic
113#14583143C2211yescharacteristic
114#14583140C2211yescharacteristic
115#14583140C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic
118#14583138C2211yescharacteristic
119#14583127C2211yescharacteristic
120#14583120C2211yescharacteristic
121#14583120C2211yescharacteristic
122#14583118C2211yescharacteristic
123#14583110C2211yescharacteristic, complemented
124#14583108C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583061C2211yescharacteristic
134#14583057C2211yescharacteristic
135#14583057C2211yescharacteristic, complemented
136#14583054C2211yescharacteristic
137#14583053C2211yescharacteristic, complemented
138#14583050C2211yescharacteristic
139#14583037C2211yescharacteristic
140#14583036C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14583005C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155C4×Dic172C2211yescharacteristic, complemented
156Q16×Dic43C2211yescharacteristic, complemented
157#14582993C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic
165#14582990C2211yescharacteristic
166#14582990C2211yescharacteristic
167#14582990C2211yescharacteristic
168#14582990C2211yescharacteristic
169#14582990C2211yescharacteristic
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic
172#14582967C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180C2×#13063256C2211yescharacteristic
181#14582892C2211yescharacteristic
182C2×#13063250C2211yescharacteristic
183C2×#13063250C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#483C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#465C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic
201C43×#416C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C22×Dic86—21no—
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C23×Dic43—21no—
210#13063355—24no—
211#13063354—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621883—24no—
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324—21no—
233#13063324—21no—
234#13063324—21no—
235#13063324—21no—
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063319—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063317—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316C2311yescharacteristic
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315D411yescharacteristic
271#13063312—21no—
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311D411yescharacteristic
276#13063309—21no—
277#13063309D411yescharacteristic
278#13063308—21no—
279#13063308—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306D411yescharacteristic
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—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#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302D411yescharacteristic
312#13063301C2311yescharacteristic
313#13063297—21no—
314#13063297—21no—
315#13063297D411yescharacteristic
316#13063296C2311yescharacteristic
317#13063294—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×C4⋊Dic43C2311yescharacteristic
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43C2311yescharacteristic
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—22no—
490C2×D4×C43—41no—
491C2×D4×C43C2×D411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—82no—
514C22×Dic43C2×D411yescharacteristic
515C22×Dic43C2×D411yescharacteristic
516Q8×D43—22no—
517Q8×D43—41no—
518#10621900—22no—
519#10621900—41no—
520#10621900—82no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2411yescharacteristic
524C2×Dic86—22no—
525C2×Dic86—22no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—41no—
534C2×Dic86—41no—
535C2×Dic86—82no—
536C2×Dic86C2×D411yescharacteristic
537C2×Dic86C2411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—41no—
542SD16×C43—22no—
543SD16×C43—41no—
544C2×C8×C43—41no—
545C2×C8×C43—41no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43—21no—
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—22no—
592#10621885—22no—
593#10621885—22no—
594#10621885—41no—
595#10621883—22no—
596#10621883—22no—
597#10621883—22no—
598#10621883—22no—
599#10621883—41no—
600#10621883#4114yescomplemented
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
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⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685Dic172—41no—
686Dic172—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43C22×D411yescharacteristic
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701D4×C43—22no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—42no—
706D4×C43—42no—
707D4×C43—81no—
708D4×C43C2×#4112yes—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
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—42no—
720C2×C4×C43—42no—
721C2×C4×C43—81no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—22no—
728C22⋊D43—22no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C2×Dic43—22no—
732C2×Dic43—21no—
733C2×Dic43—22no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—42no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—42no—
745C2×Dic43—42no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—42no—
761C4×D43—81no—
762Dic86—21no—
763Dic86—22no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—42no—
771Dic86—42no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—81no—
776Dic86—81no—
777Dic86C2×#4112yes—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8C2×#4112yes—
786#61497—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—22no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—84no—
799C22×C43#57812yes—
800C22×C43C23×D411yescharacteristic
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43C22×#4111yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—22no—
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#57712yes—
831#3523—431no—
832#3520—431no—
833#3398—431no—
834#3386—431no—
835#3364—431no—
836#3359—431no—
837#3353—431no—
838#3344—431no—
839#3344—431no—
840#3302—431no—
841#3299—431no—
842#3299—431no—
843#3298—431no—
844#3296—431no—
845#3296D4311yescharacteristic, complemented
846#3276—431no—
847#3266—431no—
848#3266—431no—
849#3178—431no—
850#3178—431no—
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120—431no—
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947—431no—
861C2×C4×SD16—431no—
862C2×C43—22no—
863C2×C43—41no—
864C2×C43—42no—
865C2×C43—81no—
866C2×C43D4×#4111yescharacteristic
867C2×C43C2×#57711yescharacteristic
868C2×C43C2×#57811yescharacteristic
869D43—41no—
870C2×#137—431no—
871C2×#137—431no—
872C22×SD16—431no—
873#557—431no—
874#557—431no—
875#557—861no—
876#556—431no—
877#556—431no—
878#556—861no—
879#554—431no—
880#554—431no—
881#552—431no—
882#552—861no—
883#552—861no—
884#552—861no—
885#552C2×D4311yescharacteristic
886#551—861no—
887#551—861no—
888D4×Q8—431no—
889D4×Q8—431no—
890D4×Q8—431no—
891D4×Q8—431no—
892#548—861no—
893#547—431no—
894#547—431no—
895#546—431no—
896#546C2×D4311yescharacteristic
897#542—431no—
898#542—431no—
899#541—431no—
900#541—431no—
901#541—861no—
902#541—861no—
903#539—861no—
904#539—861no—
905#533—431no—
906#533—431no—
907#533—861no—
908#529—431no—
909#529—861no—
910#525—861no—
911C2×C22⋊Q8—861no—
912#520—431no—
913#520—431no—
914#519—431no—
915#519—431no—
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501—431no—
920#500—431no—
921#497—431no—
922#497—431no—
923#494—431no—
924#488—431no—
925#488C2×D4311yescharacteristic
926#487—431no—
927#487—431no—
928#487—431no—
929#487—431no—
930#485—431no—
931#485—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483C2×D4311yescharacteristic
940#482—431no—
941#482C2×D4311yescharacteristic
942#479—431no—
943#479—431no—
944#478—431no—
945#478C2×D4311yescharacteristic
946#477—431no—
947#477—431no—
948#475—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#470—431no—
955#470—431no—
956#468—431no—
957#468—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467C2×D4311yescharacteristic
964#465—431no—
965#465C2×D4311yescharacteristic
966#464—431no—
967#464—431no—
968#464—431no—
969#464C2×D4311yescharacteristic
970#462—431no—
971#462—431no—
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#452C2×D4311yescharacteristic
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#450—431no—
987#450C2×D4311yescharacteristic
988#448—431no—
989#448—431no—
990#446—431no—
991C8×Q8—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16C2×D4311yescharacteristic
1020#436—431no—
1021#435—431no—
1022#435—431no—
1023C8×D4—431no—
1024C8×D4—431no—
1025C8×D4C2×D4311yescharacteristic
1026#433—431no—
1027#433—431no—
1028#432—431no—
1029#428—431no—
1030#428—431no—
1031C2×#106—431no—
1032#416—431no—
1033#416C2×D4311yescharacteristic
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103—431no—
1037C2×#102C2×D4311yescharacteristic
1038#405—431no—
1039#405—431no—
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41C22×D4311yescharacteristic
1045C22×Q8—431no—
1046C22×Q8—431no—
1047C22×Q8—431no—
1048C22×Q8—861no—
1049C22×D4C22×D4311yescharacteristic
1050C23×C4—861no—
1051#137—864no—
1052#137—864no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16C22×D4311yescharacteristic
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—864no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×M16—431no—
1071C2×M16—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8C22×D4311yescharacteristic
1075C22×C8C22×D4311yescharacteristic
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
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#125—21no—
1103#125—431no—
1104#125—431no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124C22×D4311yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—431no—
1129#123—431no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8C22×D4311yescharacteristic
1166C22⋊Q8C22×D4311yescharacteristic
1167C22⋊Q8C22×D4311yescharacteristic
1168#121—21no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121C22×D4311yescharacteristic
1174#120—21no—
1175#120—861no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222#117—21no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C22⋊C4—21no—
1246C2×C22⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249C2×C42—861no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107C22×D4311yescharacteristic
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303#102C22×D4311yescharacteristic
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8C22×D4311yescharacteristic
1309C22⋊C8C22×D4311yescharacteristic
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313#97—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8C22×D4311yescharacteristic
1320C24—21no—
1321#41—22no—
1322#41—41no—
1323#41—862no—
1324#41—3442no—
1325#41—1721no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—862no—
1336C2×Q8—862no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—862no—
1341C2×Q8—3442no—
1342C2×Q8—1721no—
1343C2×Q8—1721no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4D4×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C2×D4C23×D4311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
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—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—3442no—
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380Q16—41no—
1381Q16—862no—
1382Q16—862no—
1383Q16—862no—
1384Q16—862no—
1385Q16—1721no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—22no—
1389SD16—41no—
1390SD16—434no—
1391SD16—862no—
1392SD16—862no—
1393SD16—862no—
1394SD16—862no—
1395SD16—1721no—
1396M16—862no—
1397M16—862no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8—862no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
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—431no—
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⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
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—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4D4×D4311yescharacteristic
1505C22⋊C4D4×D4311yescharacteristic
1506C42—21no—
1507C42—21no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—21no—
1530C23—42no—
1531C23—42no—
1532C23—81no—
1533C23—431no—
1534C23C2×D4×D4311yescharacteristic
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—432no—
1541Q8—862no—
1542Q8—861no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—3441no—
1550Q8—3441no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8—1722no—
1556D4—22no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—42no—
1561D4—42no—
1562D4—81no—
1563D4—862no—
1564D4—862no—
1565D4—3441no—
1566D4—1722no—
1567D4#41×D4312yes—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—81no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—862no—
1589C2×C4—862no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—432no—
1622C8—861no—
1623C8—861no—
1624C8—861no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—22no—
1630C22—21no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—84no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22#1458371312yes—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—432no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—862no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C2×#41×D4311yescharacteristic
1668C4#1458373411yescharacteristic
1669C2—22no—
1670C2—41no—
1671C2—42no—
1672C2—81no—
1673C2—1721no—
1674C2#1914807911yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2C2×#1458371311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3296C2
socleC22×C43C23×D4
prime radical#19148631C2
hypercenter#3296D43
hypocenterC43#61497
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #19148684C2semidirect
3. #19147629C2semidirect
4. #19147511C2semidirect
5. #19147277C2semidirect
6. #19147235C2semidirect
7. #19147177C2semidirect
8. #19147054C2semidirect
9. #19147050C2semidirect
10. #19146508C2semidirect
11. #19146472C2semidirect
12. #19146466C2semidirect
13. #19146455C2semidirect
14. #19146426C2semidirect
15. #19146239C2semidirect
16. #19146109C2semidirect
17. #19146101C2semidirect
18. #19145262C2semidirect
19. #19145258C2semidirect
20. #19145176C2semidirect
21. #19144823C2semidirect
22. #19144819C2semidirect
23. #19144814C2semidirect
24. #19144810C2semidirect
25. #19144722C2semidirect
26. #19144689C2semidirect
27. #19143563C2semidirect
28. #19143441C2semidirect
29. #19143431C2semidirect
30. C2×#14582990C2semidirect
31. C43×#3296C2semidirect
35. #14583627C22semidirect
37. #14583626C22semidirect
39. #14583617C22semidirect
52. #14583562C22semidirect
59. #14583512C22semidirect
60. #14583509C22semidirect
74. #14583376C22semidirect
75. #14583375C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
83. #14583277C22semidirect
85. #14583250C22semidirect
86. #14583248C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583240C22semidirect
90. #14583239C22semidirect
91. #14583236C22semidirect
93. #14583235C22semidirect
95. #14583231C22semidirect
97. #14583227C22semidirect
99. #14583208C22semidirect
100. #14583203C22semidirect
102. #14583195C22semidirect
103. #14583193C22semidirect
104. #14583184C22semidirect
105. #14583183C22semidirect
106. #14583183C22semidirect
107. #14583183C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
115. #14583140C22semidirect
116. #14583139C22semidirect
123. #14583110C22semidirect
124. #14583108C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
135. #14583057C22semidirect
137. #14583053C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
143. #14583005C22semidirect
144. #14583005C22semidirect
145. #14583004C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
148. #14583003C22semidirect
155. C4×Dic172C22semidirect
156. Q16×Dic43C22semidirect
157. #14582993C22semidirect
158. #14582991C22semidirect
159. #14582991C22semidirect
160. #14582991C22semidirect
170. #14582974C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
183. C2×#13063250C22semidirect
184. #103×D43C22semidirect
185. #14582854C22semidirect
186. #14582853C22semidirect
600. #10621883#41semidirect
845. #3296D43semidirect
1041. C43#61497semidirect

Maximal subgroups

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

subgroupindex
#191486842
#191486312
#191476292
#191475112
#191472772
#191472352
#191471772
#191470542
#191470502
#191465082
#191464722
#191464662
#191464552
#191464262
#191462392
#191461092
#191461012
#191452622
#191452582
#191451762
#191448232
#191448192
#191448142
#191448102
#191447222
#191446892
#191435632
#191434412
#191434312
C2×#145829902
C43×#32962
#6149743