Finite Group Databasebeta

← #25988649

Subgroups — #25988649

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149087C211yesmaximal, characteristic, complemented
2#19148488C211yesmaximal, characteristic
3#19147651C211yesmaximal, characteristic, complemented
4#19147649C211yesmaximal, characteristic, complemented
5#19147648C211yesmaximal, characteristic, complemented
6#19147647C211yesmaximal, characteristic, complemented
7#19147629C211yesmaximal, characteristic, complemented
8#19147628C211yesmaximal, characteristic, complemented
9#19147627C211yesmaximal, characteristic, complemented
10#19147624C211yesmaximal, characteristic, complemented
11#19147440C211yesmaximal, characteristic, complemented
12#19147437C211yesmaximal, characteristic, complemented
13#19147436C211yesmaximal, characteristic, complemented
14#19147435C211yesmaximal, characteristic, complemented
15#19147370C211yesmaximal, characteristic, complemented
16#19147369C211yesmaximal, characteristic, complemented
17#19147358C211yesmaximal, characteristic, complemented
18#19145681C211yesmaximal, characteristic, complemented
19#19145675C211yesmaximal, characteristic, complemented
20#19145668C211yesmaximal, characteristic
21#19145666C211yesmaximal, characteristic
22#19145599C211yesmaximal, characteristic, complemented
23#19145596C211yesmaximal, characteristic, complemented
24#19144897C211yesmaximal, characteristic, complemented
25#19144894C211yesmaximal, characteristic, complemented
26#19144849C211yesmaximal, characteristic, complemented
27#19144844C211yesmaximal, characteristic, complemented
28#19144759C211yesmaximal, characteristic, complemented
29#19144753C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3371C211yesmaximal, characteristic, complemented
32C43⋊#564—21no—
33C43⋊#564—21no—
34#14583635C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583628C2211yescharacteristic, complemented
38#14583627C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583627C2211yescharacteristic, complemented
41#14583626C2211yescharacteristic, complemented
42#14583626C2211yescharacteristic, complemented
43#14583625—21no—
44#14583624—21no—
45#14583624C2211yescharacteristic, complemented
46#14583622C2211yescharacteristic
47#14583621C2211yescharacteristic
48#14583619C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583579—21no—
51#14583578—21no—
52#14583577—21no—
53#14583572—21no—
54#14583517—21no—
55#14583513—21no—
56#14583512C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583510—21no—
59#14583508—21no—
60#14583508—21no—
61#14583507—21no—
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583429—21no—
70#14583426—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583294C2211yescharacteristic, complemented
77#14583293C2211yescharacteristic
78#14583293C2211yescharacteristic
79#14583292C2211yescharacteristic
80#14583290C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583290C2211yescharacteristic, complemented
83#14583279C2211yescharacteristic, complemented
84#14583277C2211yescharacteristic, complemented
85#14583271C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583269C2211yescharacteristic, complemented
88#14583266C2211yescharacteristic, complemented
89#14583262C2211yescharacteristic
90#14583261C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583252C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583243C2211yescharacteristic
98#14583242C2211yescharacteristic
99#14583238C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583198C2211yescharacteristic
105#14583196C2211yescharacteristic
106#14583193C2211yescharacteristic, complemented
107#14583191C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583122C2211yescharacteristic
112#14583122C2211yescharacteristic
113#14583121C2211yescharacteristic
114#14583121C2211yescharacteristic
115#14583120C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583120C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic
122#14583118C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583110C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583108C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583107C2211yescharacteristic, complemented
133#14583105C2211yescharacteristic
134#14583104C2211yescharacteristic
135#14583104C2211yescharacteristic, complemented
136#14583103C2211yescharacteristic
137#14583102C2211yescharacteristic
138#14583102C2211yescharacteristic, complemented
139#14583098C2211yescharacteristic
140#14583098C2211yescharacteristic
141#14583096C2211yescharacteristic
142#14583062C2211yescharacteristic
143#14583062C2211yescharacteristic
144#14583062C2211yescharacteristic
145#14583058C2211yescharacteristic
146#14583056C2211yescharacteristic
147#14583056C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583051C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583007C2211yescharacteristic, complemented
162#14583007C2211yescharacteristic, complemented
163#14583005C2211yescharacteristic, complemented
164#14583005C2211yescharacteristic, complemented
165#14583005C2211yescharacteristic, complemented
166#14583004C2211yescharacteristic, complemented
167#14583003C2211yescharacteristic, complemented
168#14582999C2211yescharacteristic
169#14582999C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic
171#14582997C2211yescharacteristic
172#14582996C2211yescharacteristic
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582993C2211yescharacteristic, complemented
176C4×#10621885C2211yescharacteristic, complemented
177C4×#10621885C2211yescharacteristic, complemented
178#14582991C2211yescharacteristic, complemented
179#14582990C2211yescharacteristic
180C4×#10621873C2211yescharacteristic
181#14582986C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic, complemented
190C43×#490C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#476C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×D4×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323D411yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
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#13063319—21no—
252#13063319—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317—21no—
259#13063317—21no—
260#13063317—21no—
261#13063317—21no—
262#13063317—21no—
263#13063316—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316—21no—
268#13063316—21no—
269#13063316—21no—
270#13063316—21no—
271#13063316C2311yescharacteristic
272#13063316C2311yescharacteristic
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063315D411yescharacteristic
289#13063315D411yescharacteristic
290#13063314C2311yescharacteristic
291#13063313C2311yescharacteristic
292#13063313C2311yescharacteristic
293#13063312—21no—
294#13063312C2311yescharacteristic
295#13063312C2311yescharacteristic
296#13063312C2311yescharacteristic
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063309—21no—
302#13063308—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063306—21no—
308#13063306—21no—
309#13063305D411yescharacteristic
310#13063305C2311yescharacteristic
311#13063305C2311yescharacteristic
312#13063305C2311yescharacteristic
313#13063304—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303D411yescharacteristic
317#13063303D411yescharacteristic
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063301—21no—
322#13063301—21no—
323#13063301D411yescharacteristic
324#13063301C2311yescharacteristic
325#13063297—21no—
326#13063297—21no—
327#13063293—21no—
328#13063293—21no—
329Q8×Dic43—21no—
330Q8×Dic43—21no—
331Q8×Dic43—21no—
332Q8×Dic43C2311yescharacteristic
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172C2311yescharacteristic
358D4×Dic43—21no—
359D4×Dic43C2311yescharacteristic
360D4×Dic43C2311yescharacteristic
361#13063287C2311yescharacteristic
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063284—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440#127×C43C2311yescharacteristic
441#125×C43—21no—
442#125×C43—21no—
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496Q8×D43—41no—
497Q8×D43—41no—
498#10621900—41no—
499#10621900—41no—
500D4×D43—41no—
501D4×D43—41no—
502C2×D172C2411yescharacteristic
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43C2×D411yescharacteristic
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2411yescharacteristic
509C2×Dic86—21no—
510C2×Dic86—21no—
511C2×Dic86C2×D411yescharacteristic
512C2×Dic86C2×D411yescharacteristic
513C2×Dic86C2×D411yescharacteristic
514C2×Dic86C2411yescharacteristic
515C2×Dic86C2411yescharacteristic
516C2×Dic86C2411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519Q16×C43—41no—
520SD16×C43—41no—
521SD16×C43—41no—
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43C2×D411yescharacteristic
536C4⋊C4×C43C2×D411yescharacteristic
537C4⋊C4×C43C2×D411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C4⋊C4×C43C2411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C22⋊C4×C43—21no—
543C22⋊C4×C43—21no—
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C42×C43—21no—
549C42×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43C2411yescharacteristic
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C22⋊Dic43—21no—
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563#10621885—41no—
564#10621885—41no—
565#10621885—41no—
566#10621885—41no—
567#10621885—41no—
568#10621884—41no—
569#10621883—41no—
570#10621883—41no—
571#10621883—41no—
572#10621883—41no—
573#10621883—41no—
574#10621883—41no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4C2×D411yescharacteristic
589(C2×D43)⋊C4C2×D411yescharacteristic
590(C2×D43)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2×D411yescharacteristic
608C4⋊Dic43C2×D411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊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⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C4×Dic43C2411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670Dic172—41no—
671Dic172—41no—
672Dic172—41no—
673Dic172—41no—
674Dic172—41no—
675Dic172—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43—21no—
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—41no—
691Q8×C43—42no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—81no—
697D4×C43—81no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—42no—
714C22⋊D43—42no—
715C22⋊D43—81no—
716C22⋊D43—81no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—42no—
725C2×Dic43—81no—
726C2×Dic43—81no—
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734D172—21no—
735D172—21no—
736C4×D43—21no—
737C4×D43—21no—
738C4×D43—41no—
739C4×D43—41no—
740C4×D43—42no—
741C4×D43—81no—
742C4×D43—81no—
743Dic86—21no—
744Dic86—21no—
745Dic86—21no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—21no—
753Dic86—41no—
754Dic86—41no—
755Dic86—41no—
756Dic86—42no—
757Dic86—42no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43—21no—
761C8×C43—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766#61943—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43C23×D411yescharacteristic
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—162no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43#58511yescharacteristic
794C4×C43#58511yescharacteristic
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809#3556—431no—
810#3510—431no—
811#3400—431no—
812#3400—431no—
813#3400—431no—
814#3400—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3398—431no—
819#3377—431no—
820#3377—431no—
821#3377—431no—
822#3377—431no—
823#3371—431no—
824#3371—431no—
825#3371—431no—
826#3371D4311yescharacteristic, complemented
827#3223—431no—
828#3223—431no—
829#3222—431no—
830#3222—431no—
831#3215—431no—
832#3215—431no—
833#3127—431no—
834#3127—431no—
835#3123—431no—
836#3123—431no—
837#3116—431no—
838#3116—431no—
839#2987—431no—
840C2×C43—81no—
841C2×C43—81no—
842C2×C43#348711yescharacteristic
843C2×C43#358611yescharacteristic
844C2×C43#358611yescharacteristic
845D43—41no—
846D43—81no—
847#564—861no—
848#564—861no—
849#559—431no—
850#559—431no—
851#559—431no—
852#559C2×D4311yescharacteristic
853#557—431no—
854#557—431no—
855#557—431no—
856#557—431no—
857#557—431no—
858#557—431no—
859#557—431no—
860#557—861no—
861#557—861no—
862#557C2×D4311yescharacteristic, complemented
863#556—431no—
864#556—431no—
865#556—431no—
866#556—431no—
867#551—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#542—861no—
872#542—861no—
873#541—431no—
874#541—431no—
875#541—431no—
876#541—431no—
877#541—861no—
878#541—861no—
879#541—861no—
880#541—861no—
881#536—431no—
882#535—431no—
883#533—431no—
884#533—431no—
885#533—431no—
886#529—861no—
887#529—861no—
888C2×#124—431no—
889#519—431no—
890#518—431no—
891C4×#41—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497—431no—
898#497—431no—
899#497—431no—
900#494—431no—
901#494—431no—
902#492—431no—
903#492—431no—
904#491—431no—
905#491—431no—
906#490—431no—
907#490C2×D4311yescharacteristic
908#489—431no—
909#489—431no—
910#489—431no—
911#489C2×D4311yescharacteristic
912#488—431no—
913#488—431no—
914#488—431no—
915#488C2×D4311yescharacteristic, complemented
916#485—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#479C2×D4311yescharacteristic, complemented
924#478—431no—
925#478—431no—
926#478—431no—
927#478C2×D4311yescharacteristic
928#477—431no—
929#477—431no—
930#476—431no—
931#476C2×D4311yescharacteristic, complemented
932#464—431no—
933#464—431no—
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464—431no—
945#464—431no—
946#464C2×D4311yescharacteristic
947#464C2×D4311yescharacteristic, complemented
948#462—431no—
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462—431no—
956#462—431no—
957#462—431no—
958#461—431no—
959#461—431no—
960#461—431no—
961#461—431no—
962#461—431no—
963#461—431no—
964#460—431no—
965#460—431no—
966#460—431no—
967#460C2×D4311yescharacteristic
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#450—431no—
977#450—431no—
978#450—431no—
979#450—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#446C2×D4311yescharacteristic, complemented
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441C2×D4311yescharacteristic, complemented
996#440—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440C2×D4311yescharacteristic, complemented
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16C2×D4311yescharacteristic
1012#433—431no—
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#432—431no—
1017#432—431no—
1018C43#6194311yescharacteristic, complemented, Sylow
1019C2×#41—431no—
1020C22×Q8—431no—
1021C22×D4—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—431no—
1029C2×Q16—431no—
1030C2×Q16—431no—
1031C2×Q16—431no—
1032C2×Q16—431no—
1033C2×Q16C22×D4311yescharacteristic
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16—431no—
1044C2×SD16C22×D4311yescharacteristic
1045C2×SD16C22×D4311yescharacteristic
1046C4⋊Q8—21no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8C22×D4311yescharacteristic
1062#127—431no—
1063#127C22×D4311yescharacteristic
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#125—21no—
1081#125—21no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
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#125C22×D4311yescharacteristic
1115#125C22×D4311yescharacteristic
1116#124—21no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#124C22×D4311yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—861no—
1157#121—861no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—21no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4C22×D4311yescharacteristic
1207C4×D4C22×D4311yescharacteristic
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220C2×C22⋊C4—861no—
1221C2×C22⋊C4—861no—
1222C2×C22⋊C4—861no—
1223C2×C22⋊C4—861no—
1224C2×C42—431no—
1225C2×C42—861no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107C22×D4311yescharacteristic
1230#106—431no—
1231#106—431no—
1232#106C22×D4311yescharacteristic
1233#106C22×D4311yescharacteristic
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245C4⋊C8C22×D4311yescharacteristic
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102C22×D4311yescharacteristic
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289#97C22×D4311yescharacteristic
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8—431no—
1293C4×C8C22×D4311yescharacteristic
1294C24—861no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—21no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—1721no—
1309C2×Q8—1721no—
1310C2×Q8D4×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—431no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4C23×D4311yescharacteristic
1323C2×D4C23×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335Q16—41no—
1336Q16—1721no—
1337Q16—1721no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347SD16—41no—
1348SD16—41no—
1349SD16—1721no—
1350SD16—1721no—
1351SD16—1721no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358SD16—1721no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—861no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C42C23×D4311yescharacteristic
1495C23—21no—
1496C23—21no—
1497C23—431no—
1498C23—861no—
1499C23—3441no—
1500C23—3441no—
1501C23—1722no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—41no—
1507Q8—42no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—861no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—861no—
1518Q8—1721no—
1519Q8—1721no—
1520Q8—1721no—
1521Q8—1722no—
1522Q8—1722no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—81no—
1528D4—81no—
1529D4—861no—
1530D4—861no—
1531D4—3441no—
1532D4—3441no—
1533D4—1722no—
1534D4—1722no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C24×D4311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C8—861no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—1721no—
1592C22—1721no—
1593C22—1721no—
1594C22—6882no—
1595C22C22×D4×D4311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4#1458373511yescharacteristic
1623C4#1458373611yescharacteristic
1624C2—81no—
1625C2—81no—
1626C2—3441no—
1627C2—1721no—
1628C2#1914825211yescharacteristic
1629C2#1914937711yescharacteristic
1630C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3371C2
socleC22×C43C23×D4
prime radical#14583462C22
hypercenter#3371D43
hypocenterC43#61943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #19149087C2semidirect
3. #19147651C2semidirect
4. #19147649C2semidirect
5. #19147648C2semidirect
6. #19147647C2semidirect
7. #19147629C2semidirect
8. #19147628C2semidirect
9. #19147627C2semidirect
10. #19147624C2semidirect
11. #19147440C2semidirect
12. #19147437C2semidirect
13. #19147436C2semidirect
14. #19147435C2semidirect
15. #19147370C2semidirect
16. #19147369C2semidirect
17. #19147358C2semidirect
18. #19145681C2semidirect
19. #19145675C2semidirect
22. #19145599C2semidirect
23. #19145596C2semidirect
24. #19144897C2semidirect
25. #19144894C2semidirect
26. #19144849C2semidirect
27. #19144844C2semidirect
28. #19144759C2semidirect
29. #19144753C2semidirect
30. #19143698C2semidirect
31. C43×#3371C2semidirect
37. #14583628C22semidirect
38. #14583627C22semidirect
39. #14583627C22semidirect
40. #14583627C22semidirect
41. #14583626C22semidirect
42. #14583626C22semidirect
45. #14583624C22semidirect
76. #14583294C22semidirect
82. #14583290C22semidirect
83. #14583279C22semidirect
84. #14583277C22semidirect
87. #14583269C22semidirect
88. #14583266C22semidirect
95. #14583252C22semidirect
100. #14583209C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
106. #14583193C22semidirect
107. #14583191C22semidirect
108. #14583187C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
122. #14583118C22semidirect
123. #14583110C22semidirect
124. #14583110C22semidirect
125. #14583110C22semidirect
126. #14583109C22semidirect
127. #14583109C22semidirect
128. #14583108C22semidirect
129. #14583108C22semidirect
130. #14583108C22semidirect
131. #14583108C22semidirect
132. #14583107C22semidirect
135. #14583104C22semidirect
138. #14583102C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583007C22semidirect
162. #14583007C22semidirect
163. #14583005C22semidirect
164. #14583005C22semidirect
165. #14583005C22semidirect
166. #14583004C22semidirect
167. #14583003C22semidirect
169. #14582999C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. #14582993C22semidirect
176. C4×#10621885C22semidirect
177. C4×#10621885C22semidirect
178. #14582991C22semidirect
189. C43×#557C22semidirect
192. C43×#488C22semidirect
193. C43×#479C22semidirect
195. C43×#476C22semidirect
197. C43×#464C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
201. C43×#440C22semidirect
826. #3371D43semidirect
862. #557C2×D43semidirect
915. #488C2×D43semidirect
923. #479C2×D43semidirect
931. #476C2×D43semidirect
947. #464C2×D43semidirect
987. #446C2×D43semidirect
995. #441C2×D43semidirect
1003. #440C2×D43semidirect
1018. C43#61943semidirect

Maximal subgroups

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

subgroupindex
#191490872
#191484882
#191476512
#191476492
#191476482
#191476472
#191476292
#191476282
#191476272
#191476242
#191474402
#191474372
#191474362
#191474352
#191473702
#191473692
#191473582
#191456812
#191456752
#191456682
#191456662
#191455992
#191455962
#191448972
#191448942
#191448492
#191448442
#191447592
#191447532
#191436982
C43×#33712
#6194343