Finite Group Databasebeta

← #25988585

Subgroups — #25988585

Order 11008.

1710 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#19149075C211yesmaximal, characteristic, complemented
2#19148439C211yesmaximal, characteristic, complemented
3#19147676C211yesmaximal, characteristic, complemented
4#19147675C211yesmaximal, characteristic, complemented
5#19147657C211yesmaximal, characteristic, complemented
6#19147654C211yesmaximal, characteristic, complemented
7#19147649C211yesmaximal, characteristic, complemented
8#19147647C211yesmaximal, characteristic, complemented
9#19147611C211yesmaximal, characteristic, complemented
10#19147610C211yesmaximal, characteristic, complemented
11#19147440C211yesmaximal, characteristic, complemented
12#19147437C211yesmaximal, characteristic, complemented
13#19147414C211yesmaximal, characteristic, complemented
14#19147412C211yesmaximal, characteristic, complemented
15#19147346C211yesmaximal, characteristic, complemented
16#19147343C211yesmaximal, characteristic, complemented
17#19147321C211yesmaximal, characteristic, complemented
18#19145694C211yesmaximal, characteristic, complemented
19#19145692C211yesmaximal, characteristic, complemented
20#19145668C211yesmaximal, characteristic, complemented
21#19145666C211yesmaximal, characteristic, complemented
22#19145633C211yesmaximal, characteristic, complemented
23#19145604C211yesmaximal, characteristic, complemented
24#19144862C211yesmaximal, characteristic, complemented
25#19144861C211yesmaximal, characteristic, complemented
26#19144814C211yesmaximal, characteristic, complemented
27#19144805C211yesmaximal, characteristic, complemented
28#19144738C211yesmaximal, characteristic, complemented
29#19144692C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3368C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34#14583635C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583629C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583622C2211yescharacteristic
42#14583622C2211yescharacteristic, complemented
43#14583621—21no—
44#14583621C2211yescharacteristic, complemented
45#14583621C2211yescharacteristic, complemented
46#14583619C2211yescharacteristic
47#14583613—21no—
48#14583605C2211yescharacteristic, complemented
49#14583592—21no—
50#14583592—21no—
51#14583581—21no—
52#14583569C2211yescharacteristic
53#14583548—21no—
54#14583526—21no—
55#14583523C2211yescharacteristic
56#14583521C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583508—21no—
59#14583508—21no—
60#14583507—21no—
61#14583507C2211yescharacteristic
62#14583481—21no—
63#14583481—21no—
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583447C2211yescharacteristic
69#14583434C2211yescharacteristic
70#14583409—21no—
71#14583406—21no—
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583293C2211yescharacteristic
76#14583293C2211yescharacteristic, complemented
77#14583290C2211yescharacteristic
78#14583290C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583286C2211yescharacteristic
81#14583286C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583283C2211yescharacteristic
84#14583280C2211yescharacteristic
85#14583271C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583269C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic
89#14583261C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583257C2211yescharacteristic, complemented
92#14583257C2211yescharacteristic, complemented
93#14583256C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583233C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583214C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583197C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic
104#14583193C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic
107#14583177C2211yescharacteristic
108#14583177C2211yescharacteristic, complemented
109#14583124C2211yescharacteristic, complemented
110#14583122C2211yescharacteristic
111#14583122C2211yescharacteristic, complemented
112#14583121C2211yescharacteristic
113#14583121C2211yescharacteristic
114#14583120C2211yescharacteristic
115#14583120C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583120C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic
121#14583115C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583114C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583110C2211yescharacteristic, complemented
128#14583110C2211yescharacteristic, complemented
129#14583109C2211yescharacteristic, complemented
130#14583108C2211yescharacteristic, complemented
131#14583104C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic
133#14583102C2211yescharacteristic
134#14583102C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic
138#14583096C2211yescharacteristic
139#14583096C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic
141#14583091C2211yescharacteristic
142#14583062C2211yescharacteristic
143#14583062C2211yescharacteristic
144#14583062C2211yescharacteristic
145#14583062C2211yescharacteristic
146#14583058C2211yescharacteristic
147#14583058C2211yescharacteristic
148#14583051C2211yescharacteristic
149#14583051C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583045C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583010C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583005C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583001C2211yescharacteristic
166#14583001C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic
168#14582999C2211yescharacteristic, complemented
169#14582998C2211yescharacteristic
170#14582998C2211yescharacteristic, complemented
171#14582997C2211yescharacteristic
172#14582996C2211yescharacteristic
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176#14582993C2211yescharacteristic, complemented
177#14582993C2211yescharacteristic, complemented
178C4×#10621885C2211yescharacteristic, complemented
179#14582990C2211yescharacteristic, complemented
180C4×#10621882C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic
191C43×#490C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic, complemented
195C43×#474C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic
197C43×#460C2211yescharacteristic
198C43×#460C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063323D411yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063319—21no—
258#13063318—21no—
259#13063318—21no—
260#13063317—21no—
261#13063317—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315D411yescharacteristic
272#13063315D411yescharacteristic
273#13063314—21no—
274#13063314C2311yescharacteristic
275#13063313—21no—
276#13063313C2311yescharacteristic
277#13063313C2311yescharacteristic
278#13063313C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063312—21no—
281#13063312—21no—
282#13063312C2311yescharacteristic
283#13063312C2311yescharacteristic
284#13063312C2311yescharacteristic
285#13063312C2311yescharacteristic
286#13063311—21no—
287#13063311—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063308—21no—
292#13063308—21no—
293#13063307—21no—
294#13063307—21no—
295#13063306—21no—
296#13063306—21no—
297#13063306—21no—
298#13063306—21no—
299#13063305—21no—
300#13063305D411yescharacteristic
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063304—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303D411yescharacteristic
311#13063303D411yescharacteristic
312#13063301—21no—
313#13063301—21no—
314#13063301—21no—
315#13063301D411yescharacteristic
316#13063301C2311yescharacteristic
317#13063300C2311yescharacteristic
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063296—21no—
325#13063296—21no—
326#13063296—21no—
327#13063293—21no—
328#13063293—21no—
329#13063293—21no—
330#13063293—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340#13063290—21no—
341#13063290—21no—
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43—21no—
353D4×Dic43—21no—
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369#13063284—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C22⋊C4×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
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×#41×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43C2311yescharacteristic
441#127×C43C2311yescharacteristic
442#127×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#121×C43—21no—
449#121×C43—21no—
450#121×C43—21no—
451C4×Q8×C43—21no—
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×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—
479#41×C43—82no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507#10621900—41no—
508#10621900—41no—
509#10621900—41no—
510#10621900—41no—
511#10621900—82no—
512D4×D43—41no—
513D4×D43—41no—
514C2×D172—21no—
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
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×D43—82no—
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536SD16×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×C43—21no—
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C42×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43C2411yescharacteristic
565C42×C43C2411yescharacteristic
566C42×C43C2411yescharacteristic
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
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#10621884—41no—
581#10621883—41no—
582#10621883—41no—
583#10621883—41no—
584#10621883—41no—
585#10621883—41no—
586#10621883—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)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
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
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
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
654C4×Dic43—21no—
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—
675Dic172—41no—
676Dic172—41no—
677D344—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—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—41no—
694Q8×C43—81no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—42no—
702D4×C43—81no—
703D4×C43—81no—
704D4×C43—81no—
705D4×C43—81no—
706D4×C43—81no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—42no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—81no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—41no—
755C4×D43—41no—
756C4×D43—42no—
757C4×D43—42no—
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—21no—
769Dic86—21no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
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#61939—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—84no—
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#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401—431no—
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377—431no—
842#3375—431no—
843#3375—431no—
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368D4311yescharacteristic, complemented
848#3224—431no—
849#3224—431no—
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124—431no—
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—41no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876Q82—431no—
877#557—431no—
878#557—431no—
879#557C2×D4311yescharacteristic, complemented
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—861no—
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550C2×D4311yescharacteristic
893#547—861no—
894#544—861no—
895#542—431no—
896#542—431no—
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#492—431no—
926#492—431no—
927#491—431no—
928#490—431no—
929#490C2×D4311yescharacteristic
930#490C2×D4311yescharacteristic, complemented
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#488—431no—
936#488—431no—
937#486—431no—
938#486C2×D4311yescharacteristic
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479—431no—
945#478—431no—
946#478—431no—
947#478C2×D4311yescharacteristic
948#478C2×D4311yescharacteristic, complemented
949#477—431no—
950#477—431no—
951#474—431no—
952#474—431no—
953#474—431no—
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#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460C2×D4311yescharacteristic
987#460C2×D4311yescharacteristic
988#460C2×D4311yescharacteristic, complemented
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449—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#441—431no—
1014#441—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—
1025#440C2×D4311yescharacteristic
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
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#6193911yescharacteristic, complemented, Sylow
1042C2×#41—21no—
1043C2×#41—431no—
1044C2×#41—431no—
1045C2×#41—861no—
1046C22×D4—431no—
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16—431no—
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×SD16—431no—
1065C2×SD16C22×D4311yescharacteristic
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8—431no—
1072C4⋊Q8—21no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127C22×D4311yescharacteristic
1089#127C22×D4311yescharacteristic
1090#127C22×D4311yescharacteristic
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#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—21no—
1109#125—21no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#125C22×D4311yescharacteristic
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—431no—
1133#124—431no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—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—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
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—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—431no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#120—861no—
1183#120—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—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
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—861no—
1217C4×D4—861no—
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×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232#117—431no—
1233#117—431no—
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×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#106—431no—
1256#106C22×D4311yescharacteristic
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#103—431no—
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102C22×D4311yescharacteristic
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
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—82no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—21no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8D4×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
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—3442no—
1375Q16—1721no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—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—21no—
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—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⋊C4D4×D4311yescharacteristic
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
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—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—861no—
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—21no—
1524C23—431no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—41no—
1533Q8—81no—
1534Q8—861no—
1535Q8—861no—
1536Q8—861no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—42no—
1554D4—81no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
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—42no—
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—861no—
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—41no—
1629C22—41no—
1630C22—41no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—3444no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
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—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373611yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914825211yescharacteristic
1675C2#1914937111yescharacteristic
1676C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3368C2
socleC22×C43C23×D4
hypercenter#3368D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3368

Complements

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

NH ≅ G/Ntype
1. #19149075C2semidirect
2. #19148439C2semidirect
3. #19147676C2semidirect
4. #19147675C2semidirect
5. #19147657C2semidirect
6. #19147654C2semidirect
7. #19147649C2semidirect
8. #19147647C2semidirect
9. #19147611C2semidirect
10. #19147610C2semidirect
11. #19147440C2semidirect
12. #19147437C2semidirect
13. #19147414C2semidirect
14. #19147412C2semidirect
15. #19147346C2semidirect
16. #19147343C2semidirect
17. #19147321C2semidirect
18. #19145694C2semidirect
19. #19145692C2semidirect
20. #19145668C2semidirect
21. #19145666C2semidirect
22. #19145633C2semidirect
23. #19145604C2semidirect
24. #19144862C2semidirect
25. #19144861C2semidirect
26. #19144814C2semidirect
27. #19144805C2semidirect
28. #19144738C2semidirect
29. #19144692C2semidirect
30. #19143698C2semidirect
31. C43×#3368C2semidirect
38. #14583629C22semidirect
39. #14583627C22semidirect
40. #14583626C22semidirect
42. #14583622C22semidirect
44. #14583621C22semidirect
45. #14583621C22semidirect
48. #14583605C22semidirect
76. #14583293C22semidirect
78. #14583290C22semidirect
79. #14583290C22semidirect
81. #14583286C22semidirect
87. #14583269C22semidirect
91. #14583257C22semidirect
92. #14583257C22semidirect
100. #14583209C22semidirect
101. #14583203C22semidirect
102. #14583197C22semidirect
104. #14583193C22semidirect
105. #14583191C22semidirect
108. #14583177C22semidirect
109. #14583124C22semidirect
111. #14583122C22semidirect
117. #14583120C22semidirect
118. #14583120C22semidirect
119. #14583116C22semidirect
123. #14583114C22semidirect
125. #14583113C22semidirect
126. #14583113C22semidirect
127. #14583110C22semidirect
128. #14583110C22semidirect
129. #14583109C22semidirect
130. #14583108C22semidirect
131. #14583104C22semidirect
134. #14583102C22semidirect
139. #14583096C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
163. #14583005C22semidirect
164. #14583004C22semidirect
166. #14583001C22semidirect
168. #14582999C22semidirect
170. #14582998C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. C4×Dic172C22semidirect
176. #14582993C22semidirect
177. #14582993C22semidirect
178. C4×#10621885C22semidirect
179. #14582990C22semidirect
180. C4×#10621882C22semidirect
181. #14582979C22semidirect
188. C43×#557C22semidirect
191. C43×#490C22semidirect
194. C43×#478C22semidirect
195. C43×#474C22semidirect
198. C43×#460C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×SD16×C43C22semidirect
847. #3368D43semidirect
879. #557C2×D43semidirect
930. #490C2×D43semidirect
948. #478C2×D43semidirect
954. #474C2×D43semidirect
988. #460C2×D43semidirect
1010. #446C2×D43semidirect
1026. #440C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490752
#191484392
#191476762
#191476752
#191476572
#191476542
#191476492
#191476472
#191476112
#191476102
#191474402
#191474372
#191474142
#191474122
#191473462
#191473432
#191473212
#191456942
#191456922
#191456682
#191456662
#191456332
#191456042
#191448622
#191448612
#191448142
#191448052
#191447382
#191446922
#191436982
C43×#33682
#6193943