Finite Group Databasebeta

← #25988618

Subgroups — #25988618

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#19149084C211yesmaximal, characteristic, complemented
2#19148456C211yesmaximal, characteristic, complemented
3#19147676C211yesmaximal, characteristic, complemented
4#19147670C211yesmaximal, characteristic, complemented
5#19147665C211yesmaximal, characteristic, complemented
6#19147657C211yesmaximal, characteristic, complemented
7#19147629C211yesmaximal, characteristic, complemented
8#19147627C211yesmaximal, characteristic, complemented
9#19147627C211yesmaximal, characteristic, complemented
10#19147621C211yesmaximal, characteristic, complemented
11#19147429C211yesmaximal, characteristic, complemented
12#19147421C211yesmaximal, characteristic, complemented
13#19147403C211yesmaximal, characteristic, complemented
14#19147397C211yesmaximal, characteristic, complemented
15#19147370C211yesmaximal, characteristic, complemented
16#19147362C211yesmaximal, characteristic, complemented
17#19147335C211yesmaximal, characteristic, complemented
18#19145707C211yesmaximal, characteristic, complemented
19#19145705C211yesmaximal, characteristic, complemented
20#19145677C211yesmaximal, characteristic, complemented
21#19145675C211yesmaximal, characteristic, complemented
22#19145637C211yesmaximal, characteristic
23#19145607C211yesmaximal, characteristic, complemented
24#19144879C211yesmaximal, characteristic, complemented
25#19144877C211yesmaximal, characteristic, complemented
26#19144807C211yesmaximal, characteristic, complemented
27#19144805C211yesmaximal, characteristic, complemented
28#19144770C211yesmaximal, characteristic, complemented
29#19144727C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3369C211yesmaximal, characteristic, complemented
32#14583648—21no—
33#14583648—21no—
34#14583632C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583627C2211yescharacteristic
38#14583624C2211yescharacteristic
39#14583624C2211yescharacteristic
40#14583624C2211yescharacteristic
41#14583623—21no—
42#14583622C2211yescharacteristic
43#14583622C2211yescharacteristic
44#14583621C2211yescharacteristic
45#14583621C2211yescharacteristic
46#14583621C2211yescharacteristic
47#14583618C2211yescharacteristic
48#14583616—21no—
49#14583610C2211yescharacteristic
50#14583603—21no—
51#14583590—21no—
52#14583585—21no—
53#14583582—21no—
54#14583526—21no—
55#14583523C2211yescharacteristic
56#14583523C2211yescharacteristic
57#14583510—21no—
58#14583510—21no—
59#14583507—21no—
60#14583507C2211yescharacteristic
61#14583507C2211yescharacteristic
62#14583495—21no—
63#14583490—21no—
64#14583474C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583436C2211yescharacteristic
70#14583432—21no—
71#14583427—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583293C2211yescharacteristic
77#14583293C2211yescharacteristic
78#14583292C2211yescharacteristic
79#14583292C2211yescharacteristic
80#14583291C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583283C2211yescharacteristic
84#14583281C2211yescharacteristic
85#14583277C2211yescharacteristic
86#14583277C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583266C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583261C2211yescharacteristic
92#14583261C2211yescharacteristic
93#14583255C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583251C2211yescharacteristic
96#14583233C2211yescharacteristic
97#14583231C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583219C2211yescharacteristic
100#14583209C2211yescharacteristic
101#14583209C2211yescharacteristic
102#14583208C2211yescharacteristic
103#14583208C2211yescharacteristic
104#14583198C2211yescharacteristic
105#14583197C2211yescharacteristic
106#14583186C2211yescharacteristic
107#14583181C2211yescharacteristic
108#14583181C2211yescharacteristic
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583123C2211yescharacteristic
112#14583122C2211yescharacteristic
113#14583122C2211yescharacteristic
114#14583121C2211yescharacteristic
115#14583121C2211yescharacteristic
116#14583121C2211yescharacteristic
117#14583120C2211yescharacteristic
118#14583118C2211yescharacteristic
119#14583117C2211yescharacteristic
120#14583115C2211yescharacteristic
121#14583115C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583110C2211yescharacteristic
126#14583110C2211yescharacteristic
127#14583109C2211yescharacteristic
128#14583109C2211yescharacteristic
129#14583108C2211yescharacteristic
130#14583108C2211yescharacteristic
131#14583108C2211yescharacteristic
132#14583108C2211yescharacteristic
133#14583108C2211yescharacteristic
134#14583107C2211yescharacteristic
135#14583106C2211yescharacteristic
136#14583103C2211yescharacteristic
137#14583103C2211yescharacteristic
138#14583103C2211yescharacteristic
139#14583102C2211yescharacteristic
140#14583098C2211yescharacteristic
141#14583098C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583062C2211yescharacteristic
145#14583062C2211yescharacteristic
146#14583060C2211yescharacteristic
147#14583058C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583056C2211yescharacteristic
150#14583053C2211yescharacteristic
151#14583047C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583039C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583027C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583026C2211yescharacteristic
161#14583010C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583005C2211yescharacteristic
164#14583005C2211yescharacteristic
165#14583005C2211yescharacteristic
166#14583004C2211yescharacteristic
167#14583004C2211yescharacteristic
168#14583003C2211yescharacteristic
169#14583003C2211yescharacteristic
170#14583003C2211yescharacteristic
171#14583001C2211yescharacteristic
172#14583001C2211yescharacteristic
173#14582999C2211yescharacteristic
174#14582997C2211yescharacteristic
175C4×Dic172C2211yescharacteristic
176C4×#10621885C2211yescharacteristic
177#14582990C2211yescharacteristic
178C4×#10621884C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582986C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188Q82×C43C2211yescharacteristic
189C43×#556C2211yescharacteristic
190C43×#489C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#487C2211yescharacteristic
193C43×#476C2211yescharacteristic
194C43×#475C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#441C2211yescharacteristic
201C43×#441C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324D411yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063323D411yescharacteristic
233#13063323C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063321C2311yescharacteristic
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#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063319—21no—
253#13063319—21no—
254#13063319—21no—
255#13063319—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317—21no—
259#13063317—21no—
260#13063317—21no—
261#13063317—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
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#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315D411yescharacteristic
280#13063315D411yescharacteristic
281#13063314—21no—
282#13063314—21no—
283#13063314C2311yescharacteristic
284#13063314C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063311—21no—
291#13063311—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063310—21no—
297#13063309—21no—
298#13063308—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063305—21no—
304#13063305D411yescharacteristic
305#13063305C2311yescharacteristic
306#13063305C2311yescharacteristic
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303D411yescharacteristic
313#13063303D411yescharacteristic
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063301—21no—
318#13063301—21no—
319#13063301—21no—
320#13063301—21no—
321#13063301—21no—
322#13063301—21no—
323#13063301—21no—
324#13063301D411yescharacteristic
325#13063301C2311yescharacteristic
326#13063300C2311yescharacteristic
327#13063298—21no—
328#13063298—21no—
329Q8×Dic43—21no—
330Q8×Dic43—21no—
331Q8×Dic43—21no—
332Q8×Dic43C2311yescharacteristic
333Q8×Dic43C2311yescharacteristic
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344#13063290—21no—
345#13063290—21no—
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352C4×D172—21no—
353C4×D172—21no—
354C4×D172C2311yescharacteristic
355C4×D172C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—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#13063282C2311yescharacteristic
376#13063282C2311yescharacteristic
377#13063281—21no—
378#13063281—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
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#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43—21no—
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#126×C43—21no—
446#126×C43—21no—
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#106×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#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C22×Dic43—21no—
491C22×Dic43—21no—
492#10621902—41no—
493#10621902—41no—
494Q8×D43—41no—
495Q8×D43—41no—
496#10621900—41no—
497#10621900—41no—
498C2×D172—21no—
499C2×D172—21no—
500C2×D172C2411yescharacteristic
501C2×D172C2411yescharacteristic
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×D43—21no—
510C2×C4×D43C2×D411yescharacteristic
511C2×C4×D43C2×D411yescharacteristic
512C2×C4×D43C2411yescharacteristic
513C2×Dic86—21no—
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521Q16×C43—41no—
522Q16×C43—41no—
523SD16×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×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561#10621885—41no—
562#10621885—41no—
563#10621885—41no—
564#10621885—41no—
565#10621885—41no—
566#10621885—41no—
567#10621884—41no—
568#10621884—41no—
569#10621884—41no—
570#10621883—41no—
571#10621883—41no—
572#10621882—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)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2×D411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4C2×D411yescharacteristic
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
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—
674D344—41no—
675#10621873—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—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—41no—
690Q8×C43—81no—
691Q8×C43—81no—
692Q8×C43—81no—
693D4×C43—21no—
694D4×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×C43—21no—
702C2×C4×C43—81no—
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C2511yescharacteristic
710C22⋊D43—42no—
711C22⋊D43—42no—
712C22⋊D43—81no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—42no—
720C2×Dic43—81no—
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728D172—21no—
729D172—21no—
730D172—21no—
731D172—21no—
732D172—42no—
733D172—81no—
734C4×D43—21no—
735C4×D43—21no—
736C4×D43—41no—
737C4×D43—41no—
738C4×D43—42no—
739C4×D43—42no—
740C4×D43—42no—
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—21no—
753Dic86—21no—
754Dic86—41no—
755Dic86—41no—
756Dic86—41no—
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#61941—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43C23×D411yescharacteristic
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
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#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—
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#3369D4311yescharacteristic, complemented
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—81no—
840C2×C43#348711yescharacteristic
841C2×C43#358611yescharacteristic
842C2×C43#358611yescharacteristic
843D43—41no—
844D43—81no—
845D43—81no—
846#563—861no—
847#563—861no—
848#559—431no—
849#559—431no—
850Q82C2×D4311yescharacteristic
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—861no—
863#556—861no—
864#556C2×D4311yescharacteristic
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#491—431no—
905#491—431no—
906#490—431no—
907#489—431no—
908#489—431no—
909#489C2×D4311yescharacteristic
910#489C2×D4311yescharacteristic
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#479—431no—
922#479—431no—
923#478—431no—
924#478—431no—
925#476—431no—
926#476C2×D4311yescharacteristic
927#475—431no—
928#475—431no—
929#475C2×D4311yescharacteristic
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#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#462—431no—
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×Q16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16C2×D4311yescharacteristic
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×Q16—431no—
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×SD16C22×D4311yescharacteristic
1043C2×D8—431no—
1044C2×D8—431no—
1045C4⋊Q8—21no—
1046C4⋊Q8—21no—
1047C4⋊Q8—21no—
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—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8C22×D4311yescharacteristic
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—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—431no—
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#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—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—21no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
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—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—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
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—861no—
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×D4C22×D4311yescharacteristic
1205#117—21no—
1206#117—431no—
1207#117—431no—
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#107—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106C22×D4311yescharacteristic
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#103—431no—
1258#103—431no—
1259#103—431no—
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#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
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—21no—
1299C2×Q8—21no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—1721no—
1309C2×Q8—1721no—
1310C2×Q8D4×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—431no—
1315C2×D4—431no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—431no—
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×C4—861no—
1336Q16—41no—
1337Q16—41no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347Q16—1721no—
1348SD16—41no—
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—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—431no—
1392C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
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—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—431no—
1479C42—861no—
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—21no—
1495C23—431no—
1496C23—861no—
1497C23—861no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—41no—
1505Q8—81no—
1506Q8—81no—
1507Q8—81no—
1508Q8—861no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—861no—
1514Q8—861no—
1515Q8—861no—
1516Q8—1721no—
1517Q8—1721no—
1518Q8—1721no—
1519Q8—1722no—
1520D4—21no—
1521D4—21no—
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—81no—
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—861no—
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—41no—
1582C22—41no—
1583C22—41no—
1584C22—861no—
1585C22—861no—
1586C22—861no—
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—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#1458373511yescharacteristic
1621C4#1458373611yescharacteristic
1622C2—81no—
1623C2—3441no—
1624C2—3441no—
1625C2—1721no—
1626C2#1914825211yescharacteristic
1627C2#1914937711yescharacteristic
1628C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3369C2
socleC22×C43C23×D4
prime radical#19145637C2
hypercenter#3369D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
1. #19149084C2semidirect
2. #19148456C2semidirect
3. #19147676C2semidirect
4. #19147670C2semidirect
5. #19147665C2semidirect
6. #19147657C2semidirect
7. #19147629C2semidirect
8. #19147627C2semidirect
9. #19147627C2semidirect
10. #19147621C2semidirect
11. #19147429C2semidirect
12. #19147421C2semidirect
13. #19147403C2semidirect
14. #19147397C2semidirect
15. #19147370C2semidirect
16. #19147362C2semidirect
17. #19147335C2semidirect
18. #19145707C2semidirect
19. #19145705C2semidirect
20. #19145677C2semidirect
21. #19145675C2semidirect
23. #19145607C2semidirect
24. #19144879C2semidirect
25. #19144877C2semidirect
26. #19144807C2semidirect
27. #19144805C2semidirect
28. #19144770C2semidirect
29. #19144727C2semidirect
30. #19143698C2semidirect
31. C43×#3369C2semidirect
825. #3369D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490842
#191484562
#191476762
#191476702
#191476652
#191476572
#191476292
#191476272
#191476212
#191474292
#191474212
#191474032
#191473972
#191473702
#191473622
#191473352
#191457072
#191457052
#191456772
#191456752
#191456372
#191456072
#191448792
#191448772
#191448072
#191448052
#191447702
#191447272
#191436982
C43×#33692
#6194143