Finite Group Databasebeta

← #25988615

Subgroups — #25988615

Order 11008.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149073C211yesmaximal, characteristic, complemented
2#19148459C211yesmaximal, characteristic, complemented
3#19147674C211yesmaximal, characteristic, complemented
4#19147669C211yesmaximal, characteristic, complemented
5#19147665C211yesmaximal, characteristic, complemented
6#19147660C211yesmaximal, characteristic, complemented
7#19147631C211yesmaximal, characteristic, complemented
8#19147631C211yesmaximal, characteristic, complemented
9#19147623C211yesmaximal, characteristic, complemented
10#19147621C211yesmaximal, characteristic, complemented
11#19147428C211yesmaximal, characteristic, complemented
12#19147417C211yesmaximal, characteristic, complemented
13#19147402C211yesmaximal, characteristic, complemented
14#19147395C211yesmaximal, characteristic, complemented
15#19147369C211yesmaximal, characteristic, complemented
16#19147360C211yesmaximal, characteristic, complemented
17#19147339C211yesmaximal, characteristic, complemented
18#19147330C211yesmaximal, characteristic, complemented
19#19145710C211yesmaximal, characteristic, complemented
20#19145704C211yesmaximal, characteristic, complemented
21#19145674C211yesmaximal, characteristic, complemented
22#19145636C211yesmaximal, characteristic
23#19145603C211yesmaximal, characteristic, complemented
24#19144874C211yesmaximal, characteristic, complemented
25#19144865C211yesmaximal, characteristic, complemented
26#19144803C211yesmaximal, characteristic, complemented
27#19144802C211yesmaximal, characteristic, complemented
28#19144767C211yesmaximal, characteristic, complemented
29#19144720C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3223C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34#14583631C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37#14583628C2211yescharacteristic
38#14583626C2211yescharacteristic
39#14583624C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583623C2211yescharacteristic
43#14583623C2211yescharacteristic
44#14583623C2211yescharacteristic
45#14583621C2211yescharacteristic
46#14583621C2211yescharacteristic
47#14583620—21no—
48#14583618C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583616—21no—
51#14583607—21no—
52#14583605C2211yescharacteristic
53#14583591—21no—
54#14583585—21no—
55#14583583—21no—
56#14583529—21no—
57#14583522C2211yescharacteristic
58#14583520C2211yescharacteristic
59#14583512—21no—
60#14583509C2211yescharacteristic
61#14583508—21no—
62#14583508—21no—
63#14583493—21no—
64#14583493—21no—
65#14583473C2211yescharacteristic
66#14583452C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583445C2211yescharacteristic
69#14583435C2211yescharacteristic
70#14583426—21no—
71#14583426—21no—
72#14583382C2211yescharacteristic
73#14583379C2211yescharacteristic
74C2×Q8×Dic43C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic
78#14583292C2211yescharacteristic
79#14583291C2211yescharacteristic
80#14583290C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583284C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583277C2211yescharacteristic
85#14583266C2211yescharacteristic
86#14583266C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583249C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583232C2211yescharacteristic
96#14583230C2211yescharacteristic
97#14583227C2211yescharacteristic
98#14583218C2211yescharacteristic
99#14583204C2211yescharacteristic
100#14583204C2211yescharacteristic
101#14583204C2211yescharacteristic
102#14583203C2211yescharacteristic
103#14583201C2211yescharacteristic
104#14583196C2211yescharacteristic
105#14583190C2211yescharacteristic
106#14583187C2211yescharacteristic
107#14583185C2211yescharacteristic
108#14583182C2211yescharacteristic
109#14583182C2211yescharacteristic
110#14583182C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583123C2211yescharacteristic
113#14583123C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583123C2211yescharacteristic
117#14583123C2211yescharacteristic
118#14583122C2211yescharacteristic
119#14583119C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583117C2211yescharacteristic
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583115C2211yescharacteristic
125#14583113C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583108C2211yescharacteristic
128#14583108C2211yescharacteristic
129#14583107C2211yescharacteristic
130#14583107C2211yescharacteristic
131#14583107C2211yescharacteristic
132#14583107C2211yescharacteristic
133#14583107C2211yescharacteristic
134#14583107C2211yescharacteristic
135#14583106C2211yescharacteristic
136#14583106C2211yescharacteristic
137#14583103C2211yescharacteristic
138#14583102C2211yescharacteristic
139#14583101C2211yescharacteristic
140#14583101C2211yescharacteristic
141#14583098C2211yescharacteristic
142#14583097C2211yescharacteristic
143#14583063C2211yescharacteristic
144#14583061C2211yescharacteristic
145#14583059C2211yescharacteristic
146#14583059C2211yescharacteristic
147#14583055C2211yescharacteristic
148#14583046C2211yescharacteristic
149#14583044C2211yescharacteristic
150#14583038C2211yescharacteristic
151#14583029C2211yescharacteristic
152#14583029C2211yescharacteristic
153#14583028C2211yescharacteristic
154#14583028C2211yescharacteristic
155#14583027C2211yescharacteristic
156#14583027C2211yescharacteristic
157#14583026C2211yescharacteristic
158#14583026C2211yescharacteristic
159#14583012C2211yescharacteristic
160#14583008C2211yescharacteristic
161#14583007C2211yescharacteristic
162#14583006C2211yescharacteristic
163#14583006C2211yescharacteristic
164#14583006C2211yescharacteristic
165#14583006C2211yescharacteristic
166#14583006C2211yescharacteristic
167#14583006C2211yescharacteristic
168#14583004C2211yescharacteristic
169#14583003C2211yescharacteristic
170#14583003C2211yescharacteristic
171#14583002C2211yescharacteristic
172#14583002C2211yescharacteristic
173#14582997C2211yescharacteristic
174#14582996C2211yescharacteristic
175C4×#10621885C2211yescharacteristic
176#14582991C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178C4×#10621873C2211yescharacteristic
179SD16×Dic43C2211yescharacteristic
180SD16×Dic43C2211yescharacteristic
181C4×#10621884C2211yescharacteristic
182#14582984C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#541C2211yescharacteristic
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic
191C43×#494C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#462C2211yescharacteristic
197C43×#462C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C43×#452C2211yescharacteristic
200C43×#451C2211yescharacteristic
201C43×#451C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×Dic172C2311yescharacteristic
205C2×#10621885C2311yescharacteristic
206C2×#10621885C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220#13063325—21no—
221#13063325—21no—
222#13063325C2311yescharacteristic
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324D411yescharacteristic
227#13063324D411yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063319—21no—
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063316—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316D411yescharacteristic
262#13063316D411yescharacteristic
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063314C2311yescharacteristic
276#13063314C2311yescharacteristic
277#13063314C2311yescharacteristic
278#13063314C2311yescharacteristic
279#13063314C2311yescharacteristic
280#13063313C2311yescharacteristic
281#13063312C2311yescharacteristic
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063305—21no—
296#13063305—21no—
297#13063305—21no—
298#13063305—21no—
299#13063305—21no—
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302D411yescharacteristic
310#13063302D411yescharacteristic
311#13063302D411yescharacteristic
312#13063302D411yescharacteristic
313#13063301—21no—
314#13063301—21no—
315#13063299C2311yescharacteristic
316#13063297—21no—
317#13063297—21no—
318Q8×Dic43—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339#13063290—21no—
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290—21no—
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283—21no—
369#13063282—21no—
370#13063282—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43—21no—
376C2×C4⋊Dic43C2311yescharacteristic
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C2×C4×Dic43C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×Q8×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#126×C43—21no—
449#126×C43—21no—
450#125×C43—21no—
451#125×C43—21no—
452#125×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478#41×C43—41no—
479#41×C43—41no—
480C2×Q8×C43—21no—
481C2×Q8×C43—41no—
482C2×Q8×C43—41no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43C2×D411yescharacteristic
501C22×Dic43C2×D411yescharacteristic
502#10621898—41no—
503#10621898—41no—
504C2×D172C2411yescharacteristic
505C2×D172C2411yescharacteristic
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2×D411yescharacteristic
518C2×Dic86C2×D411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521Q16×C43—41no—
522Q16×C43—41no—
523Q16×C43—41no—
524Q16×C43—41no—
525Q16×C43—41no—
526Q16×C43—41no—
527SD16×C43—41no—
528SD16×C43—41no—
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2×D411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43C2×D411yescharacteristic
556C22⋊C4×C43C2×D411yescharacteristic
557C42×C43—21no—
558C42×C43—21no—
559C42×C43C2411yescharacteristic
560C42×C43C2411yescharacteristic
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43C2×D411yescharacteristic
567C22⋊Dic43C2×D411yescharacteristic
568#10621885—41no—
569#10621885—41no—
570#10621885—41no—
571#10621885—41no—
572#10621885—41no—
573#10621884—41no—
574#10621884—41no—
575#10621884—41no—
576#10621884—41no—
577#10621884—41no—
578#10621883—41no—
579#10621882—41no—
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)⋊C4—21no—
589(C2×D43)⋊C4—21no—
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—
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⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43C2×D411yescharacteristic
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2×D411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675Dic172—41no—
676D344—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C22×D43—21no—
682C22×D43—21no—
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—42no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—42no—
697C2×C4×C43—21no—
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—21no—
705C2×C4×C43—21no—
706C2×C4×C43—42no—
707C2×C4×C43—42no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C2511yescharacteristic
714C22⋊D43—42no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—41no—
725C2×Dic43—41no—
726C2×Dic43—81no—
727C2×Dic43—81no—
728C2×Dic43—81no—
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—21no—
738D172—21no—
739D172—21no—
740D172—21no—
741C4×D43—42no—
742C4×D43—42no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—41no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—81no—
756Dic86—81no—
757Dic86—81no—
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#61941—431nomaximal, Sylow
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—21no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43C23×D411yescharacteristic
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43#58511yescharacteristic
793C4×C43#58511yescharacteristic
794Dic43—21no—
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—
808#3555—431no—
809#3507—431no—
810#3402—431no—
811#3402—431no—
812#3401—431no—
813#3401—431no—
814#3398—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3376—431no—
819#3376—431no—
820#3374—431no—
821#3374—431no—
822#3371—431no—
823#3371—431no—
824#3369—431no—
825#3369—431no—
826#3225—431no—
827#3225—431no—
828#3223—431no—
829#3223D4311yescharacteristic, complemented
830#3219—431no—
831#3216—431no—
832#3125—431no—
833#3125—431no—
834#3120—431no—
835#3120—431no—
836#3117—431no—
837#3113—431no—
838#2987—431no—
839C2×C43—41no—
840C2×C43—81no—
841C2×C43#348711yescharacteristic
842C2×C43#358611yescharacteristic
843C2×C43#358611yescharacteristic
844D43—81no—
845D43—81no—
846#563—861no—
847#563—861no—
848#559—431no—
849#559—431no—
850Q82—431no—
851#557—431no—
852#557—431no—
853#557—431no—
854#557—431no—
855#557—431no—
856#556—431no—
857#556—431no—
858#556—431no—
859#556—431no—
860#556—431no—
861#556—431no—
862#556—431no—
863#556—861no—
864#556—861no—
865#554—431no—
866#554—861no—
867#552—861no—
868#552—861no—
869#552—861no—
870#544—861no—
871#542—431no—
872#542—431no—
873#541—431no—
874#541—861no—
875#541—861no—
876#541—861no—
877#541C2×D4311yescharacteristic
878#539—861no—
879#539—861no—
880#536—431no—
881#536C2×D4311yescharacteristic
882#533—431no—
883#533—431no—
884#532—431no—
885#529—431no—
886#529—861no—
887#529—861no—
888#520—431no—
889#520—431no—
890C2×C4×Q8—431no—
891#497—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497C2×D4311yescharacteristic
898#496—431no—
899#495—431no—
900#495—431no—
901#494—431no—
902#494C2×D4311yescharacteristic
903#491—431no—
904#491—431no—
905#491C2×D4311yescharacteristic
906#490—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#488—431no—
912#488C2×D4311yescharacteristic
913#487—431no—
914#487—431no—
915#484—431no—
916#483—431no—
917#483—431no—
918#481—431no—
919#479—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#478—431no—
924#478—431no—
925#476—431no—
926#476—431no—
927#475—431no—
928#475—431no—
929#475—431no—
930#475—431no—
931#464—431no—
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#464C2×D4311yescharacteristic
942#464C2×D4311yescharacteristic
943#463—431no—
944#463—431no—
945#463—431no—
946#463—431no—
947#463—431no—
948#463—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#462—431no—
959#462C2×D4311yescharacteristic
960#462C2×D4311yescharacteristic
961#461—431no—
962#461—431no—
963#461—431no—
964#461—431no—
965#460—431no—
966#460—431no—
967#452—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#452C2×D4311yescharacteristic
972#452C2×D4311yescharacteristic
973#451—431no—
974#451C2×D4311yescharacteristic
975#451C2×D4311yescharacteristic
976#449—431no—
977#449—431no—
978#448—431no—
979#446—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#442—431no—
988#442—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441—431no—
998#441—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011#433—431no—
1012#433—431no—
1013#433—431no—
1014#433C2×D4311yescharacteristic
1015#432—431no—
1016#432—431no—
1017C43#6194111yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41C22×D4311yescharacteristic
1020C22×Q8C22×D4311yescharacteristic
1021C2×Q16—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16C22×D4311yescharacteristic
1028C2×Q16C22×D4311yescharacteristic
1029C2×Q16C22×D4311yescharacteristic
1030C2×Q16C22×D4311yescharacteristic
1031C2×Q16C22×D4311yescharacteristic
1032C2×Q16C22×D4311yescharacteristic
1033C2×SD16—431no—
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16C22×D4311yescharacteristic
1042C2×SD16C22×D4311yescharacteristic
1043C2×D8—431no—
1044C2×D8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
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—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8C22×D4311yescharacteristic
1061C4⋊Q8C22×D4311yescharacteristic
1062C4⋊Q8C22×D4311yescharacteristic
1063#127—431no—
1064#126—21no—
1065#126—21no—
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#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#125—21no—
1086#125—21no—
1087#125—431no—
1088#125—431no—
1089#125—431no—
1090#125—431no—
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#125C22×D4311yescharacteristic
1108#124—431no—
1109#124—431no—
1110#124—431no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124C22×D4311yescharacteristic
1120#124C22×D4311yescharacteristic
1121#123—21no—
1122#123—21no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159C4×Q8—431no—
1160C4×Q8—431no—
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×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205#117—431no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117C22×D4311yescharacteristic
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4—861no—
1223C2×C42—431no—
1224C2×C42—861no—
1225#107—431no—
1226#107—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233C4⋊C8—431no—
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
1245#103—431no—
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#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#103C22×D4311yescharacteristic
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277C22⋊C8—431no—
1278C22⋊C8—431no—
1279C22⋊C8C22×D4311yescharacteristic
1280C22⋊C8C22×D4311yescharacteristic
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8C22×D4311yescharacteristic
1293#41—41no—
1294#41—41no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—21no—
1298C2×Q8—41no—
1299C2×Q8—41no—
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—861no—
1309C2×Q8C23×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—21no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—861no—
1327C22×C4—861no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4C23×D4311yescharacteristic
1336Q16—41no—
1337Q16—41no—
1338Q16—41no—
1339Q16—41no—
1340Q16—41no—
1341Q16—41no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347Q16—1721no—
1348SD16—41no—
1349SD16—41no—
1350SD16—1721no—
1351SD16—1721no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358D8—1721no—
1359D8—1721no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—431no—
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
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—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
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—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
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⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1468C22⋊C4D4×D4311yescharacteristic
1469C42—21no—
1470C42—21no—
1471C42—431no—
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
1494C23—21no—
1495C23—861no—
1496C23—861no—
1497C23C2×D4×D4311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—42no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—3441no—
1516Q8—1721no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1721no—
1520D4—21no—
1521D4—21no—
1522D4—42no—
1523D4—861no—
1524D4—861no—
1525D4—861no—
1526D4—861no—
1527D4—3441no—
1528D4—3441no—
1529D4—1722no—
1530D4—1722no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—42no—
1541C2×C4—42no—
1542C2×C4—431no—
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—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—1722no—
1564C2×C4—1722no—
1565C2×C4—1721no—
1566C2×C4—1721no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C24×D4311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—1721no—
1588C22—1721no—
1589C22—1721no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22C22×D4×D4311yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—861no—
1607C4—861no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4#1458373411yescharacteristic
1621C4#1458373411yescharacteristic
1622C2—41no—
1623C2—81no—
1624C2—3441no—
1625C2—3441no—
1626C2#1914825111yescharacteristic
1627C2#1914938011yescharacteristic
1628C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3223C2
socleC22×C43C23×D4
prime radical#19145636C2
hypercenter#3223D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3223

Complements

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

NH ≅ G/Ntype
1. #19149073C2semidirect
2. #19148459C2semidirect
3. #19147674C2semidirect
4. #19147669C2semidirect
5. #19147665C2semidirect
6. #19147660C2semidirect
7. #19147631C2semidirect
8. #19147631C2semidirect
9. #19147623C2semidirect
10. #19147621C2semidirect
11. #19147428C2semidirect
12. #19147417C2semidirect
13. #19147402C2semidirect
14. #19147395C2semidirect
15. #19147369C2semidirect
16. #19147360C2semidirect
17. #19147339C2semidirect
18. #19147330C2semidirect
19. #19145710C2semidirect
20. #19145704C2semidirect
21. #19145674C2semidirect
23. #19145603C2semidirect
24. #19144874C2semidirect
25. #19144865C2semidirect
26. #19144803C2semidirect
27. #19144802C2semidirect
28. #19144767C2semidirect
29. #19144720C2semidirect
30. #19143699C2semidirect
31. C43×#3223C2semidirect
829. #3223D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490732
#191484592
#191476742
#191476692
#191476652
#191476602
#191476312
#191476232
#191476212
#191474282
#191474172
#191474022
#191473952
#191473692
#191473602
#191473392
#191473302
#191457102
#191457042
#191456742
#191456362
#191456032
#191448742
#191448652
#191448032
#191448022
#191447672
#191447202
#191436992
C43×#32232
#6194143