Finite Group Databasebeta

← #25988621

Subgroups — #25988621

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#19149086C211yesmaximal, characteristic, complemented
2#19148456C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147673C211yesmaximal, characteristic, complemented
5#19147666C211yesmaximal, characteristic, complemented
6#19147658C211yesmaximal, characteristic, complemented
7#19147630C211yesmaximal, characteristic, complemented
8#19147628C211yesmaximal, characteristic, complemented
9#19147626C211yesmaximal, characteristic, complemented
10#19147624C211yesmaximal, characteristic, complemented
11#19147422C211yesmaximal, characteristic, complemented
12#19147401C211yesmaximal, characteristic, complemented
13#19147395C211yesmaximal, characteristic, complemented
14#19147369C211yesmaximal, characteristic, complemented
15#19147361C211yesmaximal, characteristic, complemented
16#19147338C211yesmaximal, characteristic, complemented
17#19147332C211yesmaximal, characteristic, complemented
18#19145703C211yesmaximal, characteristic, complemented
19#19145701C211yesmaximal, characteristic, complemented
20#19145681C211yesmaximal, characteristic, complemented
21#19145679C211yesmaximal, characteristic, complemented
22#19145631C211yesmaximal, characteristic
23#19145607C211yesmaximal, characteristic, complemented
24#19144878C211yesmaximal, characteristic, complemented
25#19144876C211yesmaximal, characteristic, complemented
26#19144816C211yesmaximal, characteristic, complemented
27#19144814C211yesmaximal, characteristic, complemented
28#19144764C211yesmaximal, characteristic, complemented
29#19144727C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3376C211yesmaximal, characteristic, complemented
32#14583650—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583629C2211yescharacteristic
37#14583628C2211yescharacteristic
38#14583627C2211yescharacteristic
39#14583626C2211yescharacteristic
40#14583626C2211yescharacteristic
41#14583624C2211yescharacteristic
42#14583622C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583620—21no—
45#14583619C2211yescharacteristic
46#14583619C2211yescharacteristic
47#14583619C2211yescharacteristic
48#14583618C2211yescharacteristic
49#14583616—21no—
50#14583603—21no—
51#14583585—21no—
52#14583584—21no—
53#14583582—21no—
54#14583530—21no—
55#14583514C2211yescharacteristic
56#14583514C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583512C2211yescharacteristic
59#14583509—21no—
60#14583509—21no—
61#14583509—21no—
62#14583495—21no—
63#14583490—21no—
64#14583474C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583432—21no—
70#14583431C2211yescharacteristic
71#14583427—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583294C2211yescharacteristic
77#14583293C2211yescharacteristic
78#14583293C2211yescharacteristic
79#14583290C2211yescharacteristic
80#14583290C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583287C2211yescharacteristic
83#14583282C2211yescharacteristic
84#14583280C2211yescharacteristic
85#14583279C2211yescharacteristic
86#14583278C2211yescharacteristic
87#14583269C2211yescharacteristic
88#14583266C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583261C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583231C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583216C2211yescharacteristic
100#14583205C2211yescharacteristic
101#14583204C2211yescharacteristic
102#14583203C2211yescharacteristic
103#14583196C2211yescharacteristic
104#14583188C2211yescharacteristic
105#14583187C2211yescharacteristic
106#14583183C2211yescharacteristic
107#14583182C2211yescharacteristic
108#14583181C2211yescharacteristic
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583122C2211yescharacteristic
112#14583122C2211yescharacteristic
113#14583120C2211yescharacteristic
114#14583120C2211yescharacteristic
115#14583120C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583119C2211yescharacteristic
118#14583119C2211yescharacteristic
119#14583118C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583114C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583110C2211yescharacteristic
126#14583110C2211yescharacteristic
127#14583110C2211yescharacteristic
128#14583109C2211yescharacteristic
129#14583109C2211yescharacteristic
130#14583108C2211yescharacteristic
131#14583108C2211yescharacteristic
132#14583108C2211yescharacteristic
133#14583108C2211yescharacteristic
134#14583108C2211yescharacteristic
135#14583108C2211yescharacteristic
136#14583106C2211yescharacteristic
137#14583105C2211yescharacteristic
138#14583104C2211yescharacteristic
139#14583104C2211yescharacteristic
140#14583098C2211yescharacteristic
141#14583098C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583062C2211yescharacteristic
146#14583062C2211yescharacteristic
147#14583062C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583056C2211yescharacteristic
150#14583056C2211yescharacteristic
151#14583043C2211yescharacteristic
152#14583041C2211yescharacteristic
153#14583036C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158#14583027C2211yescharacteristic
159#14583027C2211yescharacteristic
160#14583026C2211yescharacteristic
161#14583009C2211yescharacteristic
162#14583007C2211yescharacteristic
163#14583007C2211yescharacteristic
164#14583005C2211yescharacteristic
165#14583005C2211yescharacteristic
166#14583005C2211yescharacteristic
167#14583004C2211yescharacteristic
168#14583004C2211yescharacteristic
169#14583003C2211yescharacteristic
170#14583003C2211yescharacteristic
171#14583003C2211yescharacteristic
172#14582999C2211yescharacteristic
173#14582998C2211yescharacteristic
174#14582996C2211yescharacteristic
175#14582993C2211yescharacteristic
176#14582991C2211yescharacteristic
177#14582990C2211yescharacteristic
178C4×#10621873C2211yescharacteristic
179#14582986C2211yescharacteristic
180C4×#10621883C2211yescharacteristic
181C4×#10621883C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#554C2211yescharacteristic
190C43×#491C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#461C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#442C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324—21no—
234#13063324D411yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323—21no—
239#13063323D411yescharacteristic
240#13063323C2311yescharacteristic
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063321C2311yescharacteristic
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#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316—21no—
268#13063316—21no—
269#13063316—21no—
270#13063316—21no—
271#13063316—21no—
272#13063316—21no—
273#13063316C2311yescharacteristic
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315D411yescharacteristic
283#13063315D411yescharacteristic
284#13063314C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063312C2311yescharacteristic
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063312C2311yescharacteristic
291#13063311—21no—
292#13063311—21no—
293#13063311—21no—
294#13063311—21no—
295#13063310—21no—
296#13063310—21no—
297#13063309—21no—
298#13063308—21no—
299#13063308—21no—
300#13063308—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063305D411yescharacteristic
307#13063305C2311yescharacteristic
308#13063305C2311yescharacteristic
309#13063305C2311yescharacteristic
310#13063304—21no—
311#13063304—21no—
312#13063304—21no—
313#13063304—21no—
314#13063304—21no—
315#13063303—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303D411yescharacteristic
319#13063303D411yescharacteristic
320#13063302—21no—
321#13063302—21no—
322#13063302—21no—
323#13063301—21no—
324#13063301—21no—
325#13063301D411yescharacteristic
326#13063298—21no—
327#13063298—21no—
328#13063296C2311yescharacteristic
329Q8×Dic43—21no—
330Q8×Dic43—21no—
331Q8×Dic43C2311yescharacteristic
332Q8×Dic43C2311yescharacteristic
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290—21no—
344#13063290—21no—
345#13063290—21no—
346#13063290—21no—
347#13063290—21no—
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356C4×D172—21no—
357C4×D172C2311yescharacteristic
358D4×Dic43C2311yescharacteristic
359#13063287—21no—
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063284—21no—
369#13063284—21no—
370#13063284—21no—
371#13063284—21no—
372#13063283—21no—
373#13063283—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—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#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440#126×C43—21no—
441#126×C43—21no—
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#124×C43C2311yescharacteristic
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458C2×C4⋊C4×C43—21no—
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#102×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×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43C2411yescharacteristic
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494#10621902—41no—
495#10621902—41no—
496Q8×D43—41no—
497Q8×D43—41no—
498#10621900—41no—
499#10621900—41no—
500C2×D172—21no—
501C2×D172C2411yescharacteristic
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86C2×D411yescharacteristic
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519C2×Dic86C2411yescharacteristic
520C2×Dic86C2411yescharacteristic
521SD16×C43—41no—
522SD16×C43—41no—
523D8×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×C43C2×D411yescharacteristic
538C4⋊C4×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43C2411yescharacteristic
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567#10621885—41no—
568#10621885—41no—
569#10621885—41no—
570#10621885—41no—
571#10621885—41no—
572#10621885—41no—
573#10621883—41no—
574#10621883—41no—
575#10621883—41no—
576#10621883—41no—
577#10621883—41no—
578#10621882—41no—
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)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43C2×D411yescharacteristic
609C4⋊Dic43C2×D411yescharacteristic
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C4×Dic43C2411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670Dic172—41no—
671Dic172—41no—
672Dic172—41no—
673Dic172—41no—
674Dic172—41no—
675Dic172—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43—21no—
681C22×D43—21no—
682C22×D43C22×D411yescharacteristic
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—41no—
688Q8×C43—81no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
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—42no—
700C2×C4×C43—81no—
701C2×C4×C43—81no—
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—
713C22⋊D43—81no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—42no—
722C2×Dic43—81no—
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730D172—21no—
731D172—21no—
732D172—42no—
733C4×D43—21no—
734C4×D43—21no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742Dic86—21no—
743Dic86—21no—
744Dic86—21no—
745Dic86—21no—
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×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43C23×D411yescharacteristic
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
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#58511yescharacteristic
793C4×C43#58511yescharacteristic
794Dic43—21no—
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
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#3376D4311yescharacteristic, complemented
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#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—81no—
841C2×C43#348711yescharacteristic
842C2×C43#358611yescharacteristic
843C2×C43#358611yescharacteristic
844D43—41no—
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—861no—
863#556—861no—
864#556C2×D4311yescharacteristic
865#554—861no—
866#554C2×D4311yescharacteristic
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#491C2×D4311yescharacteristic
906#490—431no—
907#489—431no—
908#489—431no—
909#489—431no—
910#489C2×D4311yescharacteristic
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#479C2×D4311yescharacteristic
923#478—431no—
924#478C2×D4311yescharacteristic
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#463C2×D4311yescharacteristic
948#463C2×D4311yescharacteristic
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#462—431no—
961#461—431no—
962#461—431no—
963#461—431no—
964#461C2×D4311yescharacteristic
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#442C2×D4311yescharacteristic
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#440C2×D4311yescharacteristic
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×Q16—431no—
1032C2×Q16—431no—
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×D8C22×D4311yescharacteristic
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—431no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
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—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#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—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—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
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—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—861no—
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×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
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—21no—
1219C2×C4⋊C4—431no—
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#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#102C22×D4311yescharacteristic
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—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—1721no—
1310C2×Q8—1721no—
1311C2×Q8D4×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—431no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4C23×D4311yescharacteristic
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336Q16—1721no—
1337Q16—1721no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
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—41no—
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—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊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—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
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—431no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—861no—
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—
1491C42C23×D4311yescharacteristic
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C23—21no—
1495C23—21no—
1496C23—431no—
1497C23—861no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—41no—
1503Q8—81no—
1504Q8—861no—
1505Q8—861no—
1506Q8—861no—
1507Q8—861no—
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—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
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—42no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—1721no—
1562C2×C4—1721no—
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—41no—
1585C22—41no—
1586C22—41no—
1587C22—861no—
1588C22—861no—
1589C22—861no—
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—861no—
1607C4—861no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4#1458373511yescharacteristic
1621C4#1458373611yescharacteristic
1622C2—81no—
1623C2—81no—
1624C2—3441no—
1625C2—1721no—
1626C2#1914825211yescharacteristic
1627C2#1914937711yescharacteristic
1628C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3376C2
socleC22×C43C23×D4
prime radical#19145631C2
hypercenter#3376D43
hypocenterC43#61941
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #19149086C2semidirect
2. #19148456C2semidirect
3. #19147675C2semidirect
4. #19147673C2semidirect
5. #19147666C2semidirect
6. #19147658C2semidirect
7. #19147630C2semidirect
8. #19147628C2semidirect
9. #19147626C2semidirect
10. #19147624C2semidirect
11. #19147422C2semidirect
12. #19147401C2semidirect
13. #19147395C2semidirect
14. #19147369C2semidirect
15. #19147361C2semidirect
16. #19147338C2semidirect
17. #19147332C2semidirect
18. #19145703C2semidirect
19. #19145701C2semidirect
20. #19145681C2semidirect
21. #19145679C2semidirect
23. #19145607C2semidirect
24. #19144878C2semidirect
25. #19144876C2semidirect
26. #19144816C2semidirect
27. #19144814C2semidirect
28. #19144764C2semidirect
29. #19144727C2semidirect
30. #19143698C2semidirect
31. C43×#3376C2semidirect
819. #3376D43semidirect
1017. C43#61941semidirect

Maximal subgroups

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

subgroupindex
#191490862
#191484562
#191476752
#191476732
#191476662
#191476582
#191476302
#191476282
#191476262
#191476242
#191474222
#191474012
#191473952
#191473692
#191473612
#191473382
#191473322
#191457032
#191457012
#191456812
#191456792
#191456312
#191456072
#191448782
#191448762
#191448162
#191448142
#191447642
#191447272
#191436982
C43×#33762
#6194143