Finite Group Databasebeta

← #25988623

Subgroups — #25988623

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#19149075C211yesmaximal, characteristic, complemented
2#19148461C211yesmaximal, characteristic, complemented
3#19147672C211yesmaximal, characteristic, complemented
4#19147669C211yesmaximal, characteristic, complemented
5#19147663C211yesmaximal, characteristic, complemented
6#19147662C211yesmaximal, characteristic, complemented
7#19147627C211yesmaximal, characteristic, complemented
8#19147625C211yesmaximal, characteristic, complemented
9#19147622C211yesmaximal, characteristic, complemented
10#19147621C211yesmaximal, characteristic, complemented
11#19147420C211yesmaximal, characteristic, complemented
12#19147417C211yesmaximal, characteristic, complemented
13#19147395C211yesmaximal, characteristic, complemented
14#19147366C211yesmaximal, characteristic, complemented
15#19147363C211yesmaximal, characteristic, complemented
16#19147340C211yesmaximal, characteristic, complemented
17#19147338C211yesmaximal, characteristic, complemented
18#19145711C211yesmaximal, characteristic, complemented
19#19145707C211yesmaximal, characteristic, complemented
20#19145679C211yesmaximal, characteristic, complemented
21#19145677C211yesmaximal, characteristic, complemented
22#19145635C211yesmaximal, characteristic
23#19145605C211yesmaximal, characteristic, complemented
24#19144879C211yesmaximal, characteristic, complemented
25#19144870C211yesmaximal, characteristic, complemented
26#19144816C211yesmaximal, characteristic, complemented
27#19144815C211yesmaximal, characteristic, complemented
28#19144771C211yesmaximal, characteristic, complemented
29#19144723C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3374C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583629C2211yescharacteristic
37#14583627C2211yescharacteristic
38#14583626C2211yescharacteristic
39#14583624C2211yescharacteristic
40#14583623C2211yescharacteristic
41#14583623C2211yescharacteristic
42#14583622C2211yescharacteristic
43#14583621—21no—
44#14583621—21no—
45#14583621C2211yescharacteristic
46#14583621C2211yescharacteristic
47#14583621C2211yescharacteristic
48#14583621C2211yescharacteristic
49#14583605—21no—
50#14583605C2211yescharacteristic
51#14583581—21no—
52#14583581—21no—
53#14583581—21no—
54#14583526—21no—
55#14583523C2211yescharacteristic
56#14583521C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583508—21no—
59#14583508—21no—
60#14583507—21no—
61#14583507C2211yescharacteristic
62#14583497—21no—
63#14583497—21no—
64#14583474C2211yescharacteristic
65#14583474C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583450C2211yescharacteristic
69#14583436—21no—
70#14583434—21no—
71#14583434C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583293C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic
78#14583292C2211yescharacteristic
79#14583292C2211yescharacteristic
80#14583291C2211yescharacteristic
81#14583291C2211yescharacteristic
82#14583288C2211yescharacteristic
83#14583284C2211yescharacteristic
84#14583283C2211yescharacteristic
85#14583278C2211yescharacteristic
86#14583277C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583265C2211yescharacteristic
89#14583261C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583260C2211yescharacteristic
93#14583256C2211yescharacteristic
94#14583255C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583231C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583219C2211yescharacteristic
100#14583204C2211yescharacteristic
101#14583203C2211yescharacteristic
102#14583202C2211yescharacteristic
103#14583196C2211yescharacteristic
104#14583188C2211yescharacteristic
105#14583186C2211yescharacteristic
106#14583183C2211yescharacteristic
107#14583182C2211yescharacteristic
108#14583182C2211yescharacteristic
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583122C2211yescharacteristic
116#14583122C2211yescharacteristic
117#14583121C2211yescharacteristic
118#14583121C2211yescharacteristic
119#14583121C2211yescharacteristic
120#14583121C2211yescharacteristic
121#14583117C2211yescharacteristic
122#14583117C2211yescharacteristic
123#14583117C2211yescharacteristic
124#14583117C2211yescharacteristic
125#14583115C2211yescharacteristic
126#14583115C2211yescharacteristic
127#14583109C2211yescharacteristic
128#14583108C2211yescharacteristic
129#14583108C2211yescharacteristic
130#14583108C2211yescharacteristic
131#14583108C2211yescharacteristic
132#14583107C2211yescharacteristic
133#14583107C2211yescharacteristic
134#14583106C2211yescharacteristic
135#14583106C2211yescharacteristic
136#14583105C2211yescharacteristic
137#14583103C2211yescharacteristic
138#14583103C2211yescharacteristic
139#14583101C2211yescharacteristic
140#14583100C2211yescharacteristic
141#14583099C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583064C2211yescharacteristic
146#14583060C2211yescharacteristic
147#14583060C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583056C2211yescharacteristic
150#14583053C2211yescharacteristic
151#14583047C2211yescharacteristic
152#14583047C2211yescharacteristic
153#14583039C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583027C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583026C2211yescharacteristic
161#14583012C2211yescharacteristic
162#14583010C2211yescharacteristic
163#14583007C2211yescharacteristic
164#14583005C2211yescharacteristic
165#14583004C2211yescharacteristic
166#14583004C2211yescharacteristic
167#14583004C2211yescharacteristic
168#14583003C2211yescharacteristic
169#14583003C2211yescharacteristic
170#14583003C2211yescharacteristic
171#14583002C2211yescharacteristic
172#14582998C2211yescharacteristic
173#14582998C2211yescharacteristic
174#14582997C2211yescharacteristic
175#14582991C2211yescharacteristic
176C4×#10621873C2211yescharacteristic
177C4×#10621884C2211yescharacteristic
178C4×#10621884C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582986C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic
189C43×#557C2211yescharacteristic
190C43×#491C2211yescharacteristic
191C43×#491C2211yescharacteristic
192C43×#487C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#479C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#462C2211yescharacteristic
197C43×#462C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#441C2211yescharacteristic
201C43×#441C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063323—21no—
235#13063323D411yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063320—21no—
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#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063320—21no—
256#13063319—21no—
257#13063319—21no—
258#13063319—21no—
259#13063319—21no—
260#13063319—21no—
261#13063319—21no—
262#13063317—21no—
263#13063317—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316C2311yescharacteristic
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315D411yescharacteristic
277#13063315D411yescharacteristic
278#13063314—21no—
279#13063314—21no—
280#13063314C2311yescharacteristic
281#13063314C2311yescharacteristic
282#13063314C2311yescharacteristic
283#13063314C2311yescharacteristic
284#13063314C2311yescharacteristic
285#13063313—21no—
286#13063313—21no—
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063313C2311yescharacteristic
290#13063313C2311yescharacteristic
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063310—21no—
297#13063310—21no—
298#13063310—21no—
299#13063310—21no—
300#13063310—21no—
301#13063310—21no—
302#13063305—21no—
303#13063305—21no—
304#13063305—21no—
305#13063305D411yescharacteristic
306#13063305C2311yescharacteristic
307#13063305C2311yescharacteristic
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303—21no—
319#13063303—21no—
320#13063303D411yescharacteristic
321#13063303D411yescharacteristic
322#13063301—21no—
323#13063301—21no—
324#13063301D411yescharacteristic
325#13063301C2311yescharacteristic
326#13063300—21no—
327#13063300—21no—
328#13063300C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331Q8×Dic43C2311yescharacteristic
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290—21no—
344#13063290—21no—
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350C4×D172—21no—
351C4×D172—21no—
352C4×D172—21no—
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355C4×D172C2311yescharacteristic
356#13063287—21no—
357#13063287—21no—
358#13063287—21no—
359#13063287—21no—
360#13063287—21no—
361#13063287—21no—
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366#13063283—21no—
367#13063283—21no—
368#13063283—21no—
369#13063283—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063282C2311yescharacteristic
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
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#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
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×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#125×C43—21no—
444#125×C43—21no—
445#125×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#125×C43C2311yescharacteristic
450C4×Q8×C43—21no—
451C4×Q8×C43—21no—
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×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#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484#10621902—41no—
485#10621902—41no—
486#10621902—41no—
487#10621902—41no—
488Q8×D43—41no—
489Q8×D43—41no—
490C2×D172—21no—
491C2×D172—21no—
492C2×D172—21no—
493C2×D172—21no—
494C2×D172—21no—
495C2×D172C2411yescharacteristic
496C2×D172C2411yescharacteristic
497C2×D172C2411yescharacteristic
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2×D411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2×D411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521Q16×C43—41no—
522Q16×C43—41no—
523Q16×C43—41no—
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
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×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×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43—21no—
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C42×C43C2411yescharacteristic
561#10621885—41no—
562#10621885—41no—
563#10621885—41no—
564#10621885—41no—
565#10621885—41no—
566#10621885—41no—
567#10621885—41no—
568#10621884—41no—
569#10621884—41no—
570#10621884—41no—
571#10621884—41no—
572#10621884—41no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
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)⋊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—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
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×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—
672D344—41no—
673D344—41no—
674#10621873—41no—
675#10621873—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43C22×D411yescharacteristic
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—41no—
692Q8×C43—81no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720D172—21no—
721D172—21no—
722D172—21no—
723D172—21no—
724D172—21no—
725D172—21no—
726D172—42no—
727D172—42no—
728D172—42no—
729D172—81no—
730D172—81no—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—41no—
753Dic86—41no—
754Dic86—41no—
755Dic86—42no—
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×C43C23×D411yescharacteristic
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—21no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
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—21no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43#58511yescharacteristic
795C4×C43#58511yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
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#3374D4311yescharacteristic, complemented
822#3371—431no—
823#3371—431no—
824#3369—431no—
825#3369—431no—
826#3225—431no—
827#3225—431no—
828#3223—431no—
829#3223—431no—
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#348711yescharacteristic
840C2×C43#358611yescharacteristic
841C2×C43#358611yescharacteristic
842D43—41no—
843D43—81no—
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#557C2×D4311yescharacteristic
855#557C2×D4311yescharacteristic
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—431no—
875#541—861no—
876#541—861no—
877#541—861no—
878#539—861no—
879#539—861no—
880#536—431no—
881#536—431no—
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#497—431no—
898#496—431no—
899#495—431no—
900#495—431no—
901#494—431no—
902#494—431no—
903#491—431no—
904#491C2×D4311yescharacteristic
905#491C2×D4311yescharacteristic
906#490—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#488—431no—
912#488—431no—
913#487—431no—
914#487C2×D4311yescharacteristic
915#484—431no—
916#483—431no—
917#483—431no—
918#481—431no—
919#479—431no—
920#479—431no—
921#479C2×D4311yescharacteristic
922#479C2×D4311yescharacteristic
923#478—431no—
924#478—431no—
925#476—431no—
926#476—431no—
927#475—431no—
928#475—431no—
929#475—431no—
930#475C2×D4311yescharacteristic
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#464—431no—
942#464—431no—
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#462C2×D4311yescharacteristic
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#452—431no—
972#452—431no—
973#451—431no—
974#451—431no—
975#451—431no—
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#446C2×D4311yescharacteristic
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#441C2×D4311yescharacteristic
998#441C2×D4311yescharacteristic
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16C2×D4311yescharacteristic
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#433—431no—
1015#432—431no—
1016#432—431no—
1017C43#6194111yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41—431no—
1020C22×Q8—431no—
1021C2×Q16—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×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×SD16—431no—
1042C2×SD16—431no—
1043C2×D8—431no—
1044C2×D8—431no—
1045C4⋊Q8—21no—
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⋊Q8C22×D4311yescharacteristic
1060C4⋊Q8C22×D4311yescharacteristic
1061C4⋊Q8C22×D4311yescharacteristic
1062C4⋊Q8C22×D4311yescharacteristic
1063#127—431no—
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#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—431no—
1091#125—431no—
1092#125—431no—
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#125C22×D4311yescharacteristic
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—431no—
1116#124—431no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#123—861no—
1122#123—861no—
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—431no—
1133C22⋊Q8—431no—
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⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159C4×Q8—21no—
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—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8C22×D4311yescharacteristic
1183C4×Q8C22×D4311yescharacteristic
1184C4×Q8C22×D4311yescharacteristic
1185C4×Q8C22×D4311yescharacteristic
1186C4×Q8C22×D4311yescharacteristic
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—431no—
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#117—861no—
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#107C22×D4311yescharacteristic
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106C22×D4311yescharacteristic
1232#106C22×D4311yescharacteristic
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⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1258#103C22×D4311yescharacteristic
1259#103C22×D4311yescharacteristic
1260#103C22×D4311yescharacteristic
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#102—431no—
1276#102—431no—
1277C22⋊C8—431no—
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281#97—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97C22×D4311yescharacteristic
1288#97C22×D4311yescharacteristic
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8C22×D4311yescharacteristic
1293#41—1721no—
1294#41—1721no—
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—861no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—1721no—
1308C2×Q8—1721no—
1309C2×Q8D4×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—431no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4—861no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—861no—
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×C4—861no—
1336Q16—41no—
1337Q16—41no—
1338Q16—41no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347Q16—1721no—
1348SD16—1721no—
1349SD16—1721no—
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—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
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—431no—
1399C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
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⋊C4—861no—
1468C22⋊C4—861no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—431no—
1479C42—431no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42C23×D4311yescharacteristic
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C23—431no—
1495C23—861no—
1496C23—861no—
1497C23—861no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—41no—
1507Q8—81no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—861no—
1514Q8—3441no—
1515Q8—3441no—
1516Q8—1721no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1722no—
1520D4—861no—
1521D4—861no—
1522D4—861no—
1523D4—861no—
1524D4—861no—
1525D4—861no—
1526D4—3441no—
1527D4—3441no—
1528D4—1722no—
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—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—3441no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—1721no—
1561C2×C4—1721no—
1562C2×C4—1722no—
1563C2×C4—1722no—
1564C2×C4—1722no—
1565C2×C4—1722no—
1566C2×C4C2×D4×D4311yescharacteristic
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—861no—
1582C22—861no—
1583C22—861no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
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—21no—
1600C4—41no—
1601C4—41no—
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#1458373511yescharacteristic
1621C4#1458373611yescharacteristic
1622C2—3441no—
1623C2—3441no—
1624C2—3441no—
1625C2—1721no—
1626C2#1914825211yescharacteristic
1627C2#1914937811yescharacteristic
1628C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3374C2
socleC22×C43C23×D4
prime radical#19145635C2
hypercenter#3374D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3374

Complements

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

NH ≅ G/Ntype
1. #19149075C2semidirect
2. #19148461C2semidirect
3. #19147672C2semidirect
4. #19147669C2semidirect
5. #19147663C2semidirect
6. #19147662C2semidirect
7. #19147627C2semidirect
8. #19147625C2semidirect
9. #19147622C2semidirect
10. #19147621C2semidirect
11. #19147420C2semidirect
12. #19147417C2semidirect
13. #19147395C2semidirect
14. #19147366C2semidirect
15. #19147363C2semidirect
16. #19147340C2semidirect
17. #19147338C2semidirect
18. #19145711C2semidirect
19. #19145707C2semidirect
20. #19145679C2semidirect
21. #19145677C2semidirect
23. #19145605C2semidirect
24. #19144879C2semidirect
25. #19144870C2semidirect
26. #19144816C2semidirect
27. #19144815C2semidirect
28. #19144771C2semidirect
29. #19144723C2semidirect
30. #19143698C2semidirect
31. C43×#3374C2semidirect
821. #3374D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490752
#191484612
#191476722
#191476692
#191476632
#191476622
#191476272
#191476252
#191476222
#191476212
#191474202
#191474172
#191473952
#191473662
#191473632
#191473402
#191473382
#191457112
#191457072
#191456792
#191456772
#191456352
#191456052
#191448792
#191448702
#191448162
#191448152
#191447712
#191447232
#191436982
C43×#33742
#6194143