Finite Group Databasebeta

← #25987312

Subgroups — #25987312

Order 11008.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149056C211yesmaximal, characteristic
2#19148403C211yesmaximal, characteristic, complemented
3#19147537C211yesmaximal, characteristic, complemented
4#19147535C211yesmaximal, characteristic, complemented
5#19147524C211yesmaximal, characteristic, complemented
6#19147511C211yesmaximal, characteristic, complemented
7#19147483C211yesmaximal, characteristic, complemented
8#19147474C211yesmaximal, characteristic, complemented
9#19147467C211yesmaximal, characteristic, complemented
10#19147450C211yesmaximal, characteristic, complemented
11#19147412C211yesmaximal, characteristic, complemented
12#19147370C211yesmaximal, characteristic, complemented
13#19147358C211yesmaximal, characteristic, complemented
14#19147321C211yesmaximal, characteristic, complemented
15#19147296C211yesmaximal, characteristic, complemented
16#19147294C211yesmaximal, characteristic, complemented
17#19147294C211yesmaximal, characteristic, complemented
18#19147263C211yesmaximal, characteristic, complemented
19#19145893C211yesmaximal, characteristic, complemented
20#19145889C211yesmaximal, characteristic, complemented
21#19145844C211yesmaximal, characteristic, complemented
22#19145771C211yesmaximal, characteristic, complemented
23#19145729C211yesmaximal, characteristic, complemented
24#19144882C211yesmaximal, characteristic, complemented
25#19144881C211yesmaximal, characteristic, complemented
26#19144826C211yesmaximal, characteristic, complemented
27#19144819C211yesmaximal, characteristic, complemented
28#19144672C211yesmaximal, characteristic, complemented
29#19144623C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583644—21no—
33#14583644—21no—
34#14583635C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583629—21no—
38#14583629C2211yescharacteristic
39#14583629C2211yescharacteristic
40#14583626—21no—
41#14583626—21no—
42#14583626C2211yescharacteristic
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583626C2211yescharacteristic
46#14583626C2211yescharacteristic
47#14583624—21no—
48#14583624C2211yescharacteristic
49#14583624C2211yescharacteristic
50#14583606C2211yescharacteristic
51#14583605C2211yescharacteristic
52#14583569C2211yescharacteristic
53D4×Dic86C2211yescharacteristic
54#14583555—21no—
55#14583549—21no—
56#14583530C2211yescharacteristic
57#14583528—21no—
58#14583528—21no—
59#14583520C2211yescharacteristic
60#14583517—21no—
61#14583516C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583493—21no—
64#14583492—21no—
65#14583471—21no—
66#14583452C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451—21no—
69#14583451—21no—
70#14583444C2211yescharacteristic
71#14583430C2211yescharacteristic
72#14583376C2211yescharacteristic
73#14583376C2211yescharacteristic
74C2×#13063290C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583307C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583300C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583299C2211yescharacteristic
82#14583296C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583295C2211yescharacteristic
85#14583262C2211yescharacteristic
86#14583261C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583256C2211yescharacteristic
89#14583252C2211yescharacteristic
90#14583252C2211yescharacteristic
91#14583252C2211yescharacteristic
92#14583244C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583241C2211yescharacteristic
96#14583240C2211yescharacteristic
97#14583229C2211yescharacteristic
98#14583224C2211yescharacteristic
99#14583223C2211yescharacteristic
100#14583220C2211yescharacteristic
101#14583220C2211yescharacteristic
102#14583217C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583209C2211yescharacteristic
105#14583205C2211yescharacteristic
106#14583205C2211yescharacteristic
107#14583205C2211yescharacteristic
108#14583203C2211yescharacteristic
109#14583203C2211yescharacteristic
110#14583203C2211yescharacteristic
111#14583202C2211yescharacteristic
112#14583202C2211yescharacteristic
113#14583201C2211yescharacteristic
114#14583198C2211yescharacteristic
115#14583197C2211yescharacteristic
116#14583197C2211yescharacteristic
117#14583197C2211yescharacteristic
118#14583196C2211yescharacteristic
119#14583195C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583193C2211yescharacteristic
122#14583187C2211yescharacteristic
123#14583187C2211yescharacteristic
124#14583187C2211yescharacteristic
125#14583186C2211yescharacteristic
126#14583185C2211yescharacteristic
127#14583183C2211yescharacteristic
128#14583183C2211yescharacteristic
129#14583183C2211yescharacteristic
130#14583183C2211yescharacteristic
131#14583183C2211yescharacteristic
132#14583181C2211yescharacteristic
133#14583178C2211yescharacteristic
134#14583177C2211yescharacteristic
135#14583122C2211yescharacteristic
136#14583122C2211yescharacteristic
137#14583120C2211yescharacteristic
138#14583120C2211yescharacteristic
139#14583120C2211yescharacteristic
140#14583120C2211yescharacteristic
141#14583098C2211yescharacteristic
142#14583098C2211yescharacteristic
143#14583098C2211yescharacteristic
144#14583098C2211yescharacteristic
145#14583096C2211yescharacteristic
146#14583096C2211yescharacteristic
147#14583057C2211yescharacteristic
148#14583040C2211yescharacteristic
149#14583037C2211yescharacteristic
150#14583037C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583007C2211yescharacteristic
160#14583005C2211yescharacteristic
161#14583001C2211yescharacteristic
162#14582999C2211yescharacteristic
163#14582999C2211yescharacteristic
164#14582998C2211yescharacteristic
165#14582996C2211yescharacteristic
166#14582996C2211yescharacteristic
167C4×Dic172C2211yescharacteristic
168#14582993C2211yescharacteristic
169#14582993C2211yescharacteristic
170#14582993C2211yescharacteristic
171#14582990C2211yescharacteristic
172#14582990C2211yescharacteristic
173#14582990C2211yescharacteristic
174#14582990C2211yescharacteristic
175#14582990C2211yescharacteristic
176#14582990C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178#14582986C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582986C2211yescharacteristic
181C4×#10621883C2211yescharacteristic
182C4×#10621883C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic
196C43×#481C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#478C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×Dic86C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324D411yescharacteristic
225#13063324D411yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063318—21no—
242#13063318—21no—
243#13063316—21no—
244#13063316D411yescharacteristic
245#13063316D411yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063313C2311yescharacteristic
267#13063312—21no—
268#13063312—21no—
269#13063312C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063309—21no—
276#13063308—21no—
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306—21no—
286#13063305—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302D411yescharacteristic
303#13063302D411yescharacteristic
304#13063302D411yescharacteristic
305#13063302D411yescharacteristic
306#13063299C2311yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296—21no—
313Q8×Dic43—21no—
314Q8×Dic43—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349C4×D172C2311yescharacteristic
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C2×C4×Dic43—21no—
372C2×C4×Dic43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063256C2311yescharacteristic
382#13063256C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×D4×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43C2×D411yescharacteristic
501C22×Dic43C2×D411yescharacteristic
502#10621900—82no—
503#10621900—82no—
504C2×D172C2411yescharacteristic
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×Dic86—21no—
509C2×Dic86—22no—
510C2×Dic86—22no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—82no—
519C2×Dic86C2×D411yescharacteristic
520C2×Dic86C2×D411yescharacteristic
521C2×Dic86C2×D411yescharacteristic
522C2×Dic86C2×D411yescharacteristic
523C2×Dic86C2411yescharacteristic
524C2×Dic86C2411yescharacteristic
525C2×Dic86C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43C2×D411yescharacteristic
553C22⋊C4×C43C2×D411yescharacteristic
554C42×C43—21no—
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—
567C22⋊Dic43C2×D411yescharacteristic
568C22⋊Dic43C2×D411yescharacteristic
569#10621883—22no—
570#10621883—22no—
571#10621883—22no—
572#10621883—22no—
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—
579C4⋊Dic43—21no—
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43C2×D411yescharacteristic
587C4⋊Dic43C2×D411yescharacteristic
588C4⋊Dic43C2×D411yescharacteristic
589C4⋊Dic43C2×D411yescharacteristic
590C4⋊Dic43C2×D411yescharacteristic
591C4⋊Dic43C2×D411yescharacteristic
592C4⋊Dic43C2411yescharacteristic
593C4⋊Dic43C2411yescharacteristic
594C4⋊Dic43C2411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596Dic43⋊C4—21no—
597Dic43⋊C4—21no—
598Dic43⋊C4—21no—
599Dic43⋊C4—21no—
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4C2×D411yescharacteristic
625Dic43⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632C4×Dic43—21no—
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658Dic172—22no—
659Dic172—22no—
660#10621873—22no—
661#10621873—22no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D411yescharacteristic
665C22×D43—21no—
666Q8×C43—81no—
667Q8×C43—81no—
668D4×C43—21no—
669D4×C43—21no—
670D4×C43—21no—
671D4×C43—21no—
672D4×C43—81no—
673D4×C43—81no—
674D4×C43—81no—
675D4×C43—81no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—81no—
685C2×C4×C43—81no—
686C2×C4×C43—81no—
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C2511yescharacteristic
693C22⋊D43—42no—
694C22⋊D43—81no—
695C22⋊D43—81no—
696C22⋊D43—81no—
697C22⋊D43—81no—
698C2×Dic43—24no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—22no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—41no—
708C2×Dic43—42no—
709C2×Dic43—81no—
710C2×Dic43—81no—
711C2×Dic43—81no—
712C2×Dic43C22×D411yescharacteristic
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—
722C4×D43—81no—
723C4×D43—81no—
724C4×D43—81no—
725Dic86—24no—
726Dic86—21no—
727Dic86—21no—
728Dic86—22no—
729Dic86—22no—
730Dic86—21no—
731Dic86—21no—
732Dic86—41no—
733Dic86—41no—
734Dic86—42no—
735Dic86—42no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic862−1+412yes—
742Dic862−1+412yes—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751#61865—431nomaximal, Sylow
752C22×C43—21no—
753C22×C43—21no—
754C22×C43—21no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43C23×D411yescharacteristic
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C4×C43—21no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43C2×2−1+411yescharacteristic
777C4×C43C2×2−1+411yescharacteristic
778Dic43—21no—
779Dic43—21no—
780Dic43—21no—
781Dic43—21no—
782Dic43—22no—
783Dic43—22no—
784Dic43—21no—
785Dic43—21no—
786Dic43—21no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43#57712yes—
793#3554—431no—
794#3502—431no—
795#3388—431no—
796#3388—431no—
797#3387—431no—
798#3386—431no—
799#3383—431no—
800#3381—431no—
801#3381—431no—
802Q8×SD16—431no—
803#3375—431no—
804#3371—431no—
805#3371—431no—
806#3368—431no—
807#3365—431no—
808#3365—431no—
809#3365—431no—
810#3362—431no—
811#3244—431no—
812#3244—431no—
813#3241—431no—
814#3241D4311yescharacteristic, complemented
815#3233—431no—
816#3228—431no—
817#3126—431no—
818#3126—431no—
819#3121—431no—
820#3121—431no—
821#3108—431no—
822#3103—431no—
823#2986—431no—
824C2×C43—41no—
825C2×C43—81no—
826C2×C43—81no—
827C2×C43#348611yescharacteristic
828C2×C43C2×#57711yescharacteristic
829C2×C43#358411yescharacteristic
830D43—81no—
831#562—861no—
832#562—861no—
833#559—431no—
834#559—431no—
835#559—431no—
836Q82—431no—
837Q82—431no—
838Q82—861no—
839#557—431no—
840#557—431no—
841#557—431no—
842#557—431no—
843#557—431no—
844#557—431no—
845#557—431no—
846#557—861no—
847#557—861no—
848#557—861no—
849#554—431no—
850#554—431no—
851#550—431no—
852D4×Q8—431no—
853#548—861no—
854#547—861no—
855#544—431no—
856#544—861no—
857#544—861no—
858#544C2×D4311yescharacteristic
859#542—431no—
860#542—431no—
861#542—861no—
862#540—431no—
863#540C2×D4311yescharacteristic
864#539—861no—
865#539—861no—
866#536—861no—
867#533—431no—
868#533—431no—
869#533—861no—
870#533—861no—
871#532—431no—
872#529—431no—
873#519—431no—
874#519—431no—
875C2×C4×Q8—431no—
876#501—431no—
877#501—431no—
878#501—431no—
879#501C2×D4311yescharacteristic
880#500—431no—
881#499—431no—
882#499—431no—
883#499—431no—
884#499C2×D4311yescharacteristic
885#498—431no—
886#498—431no—
887#498—431no—
888#490—431no—
889#490C2×D4311yescharacteristic
890#489—431no—
891#489—431no—
892#488—431no—
893#488—431no—
894#488—431no—
895#488—431no—
896#486—431no—
897#486—431no—
898#486—431no—
899#486C2×D4311yescharacteristic
900#485—431no—
901#485—431no—
902#483—431no—
903#482—431no—
904#482—431no—
905#482—431no—
906#482—431no—
907#482C2×D4311yescharacteristic
908#482C2×D4311yescharacteristic
909#481—431no—
910#481C2×D4311yescharacteristic
911#480C2×D4311yescharacteristic
912#479—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479—431no—
920#478—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478C2×D4311yescharacteristic
929#478C2×D4311yescharacteristic
930#477—431no—
931#477—431no—
932#477—431no—
933#476—431no—
934#476—431no—
935#476—431no—
936#476—431no—
937#476C2×D4311yescharacteristic
938#475—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#475—431no—
943#475—431no—
944#475—431no—
945#474—431no—
946#474—431no—
947#474C2×D4311yescharacteristic
948#464—431no—
949#464—431no—
950#464—431no—
951#464—431no—
952#464—431no—
953#464—431no—
954#460—431no—
955#460—431no—
956#460—431no—
957#460—431no—
958#460—431no—
959#460—431no—
960#451—431no—
961#448—431no—
962#448—431no—
963#448—431no—
964#446—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968C8×Q8—431no—
969C8×Q8—431no—
970C8×Q8—431no—
971C8×Q8—431no—
972#441—431no—
973#441—431no—
974#440—431no—
975#440—431no—
976#440—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980C4×Q16—431no—
981C4×Q16—431no—
982C4×Q16—431no—
983C4×Q16—431no—
984C4×SD16—431no—
985C4×SD16—431no—
986C4×SD16—431no—
987C4×SD16—431no—
988C4×SD16—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996#433—431no—
997#433—431no—
998#433—431no—
999#433C2×D4311yescharacteristic
1000#431—431no—
1001#431—431no—
1002C43#6186511yescharacteristic, complemented, Sylow
1003C2×#41—861no—
1004C2×#41—861no—
1005C22×Q8—431no—
1006C22×Q8—861no—
1007C2×Q16—431no—
1008C2×Q16—431no—
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16—431no—
1012C2×SD16—431no—
1013C2×SD16—431no—
1014C2×SD16—431no—
1015C4⋊Q8—21no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—861no—
1026C4⋊Q8—861no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8—861no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8C22×D4311yescharacteristic
1040C4⋊Q8C22×D4311yescharacteristic
1041#127—431no—
1042#127—431no—
1043#127C22×D4311yescharacteristic
1044#126—861no—
1045#126—861no—
1046#126—861no—
1047#125—21no—
1048#125—431no—
1049#125—431no—
1050#125—431no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125C22×D4311yescharacteristic
1072#125C22×D4311yescharacteristic
1073#125C22×D4311yescharacteristic
1074#124—431no—
1075#124—431no—
1076#124—431no—
1077#124—861no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#123—21no—
1084#123—21no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—431no—
1099C22⋊Q8—431no—
1100C22⋊Q8—431no—
1101C22⋊Q8—431no—
1102C22⋊Q8—431no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118#121—21no—
1119#121—21no—
1120#121—431no—
1121#121—861no—
1122#121—861no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121C22×D4311yescharacteristic
1128#121C22×D4311yescharacteristic
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—431no—
1134C4×Q8—431no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4C22×D4311yescharacteristic
1178C4×D4C22×D4311yescharacteristic
1179#117—431no—
1180#117—431no—
1181#117—861no—
1182#117—861no—
1183#117—861no—
1184#117—861no—
1185#117—861no—
1186#117C22×D4311yescharacteristic
1187#117C22×D4311yescharacteristic
1188C2×C4⋊C4—861no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4C22×D4311yescharacteristic
1192C2×C42—431no—
1193C2×C42—861no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107C22×D4311yescharacteristic
1201#107C22×D4311yescharacteristic
1202#107C22×D4311yescharacteristic
1203#107C22×D4311yescharacteristic
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106C22×D4311yescharacteristic
1215#106C22×D4311yescharacteristic
1216#106C22×D4311yescharacteristic
1217#106C22×D4311yescharacteristic
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#102—431no—
1245#102—431no—
1246#102—431no—
1247#102—431no—
1248#102—431no—
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102C22×D4311yescharacteristic
1255#102C22×D4311yescharacteristic
1256#102C22×D4311yescharacteristic
1257#102C22×D4311yescharacteristic
1258#102C22×D4311yescharacteristic
1259#102C22×D4311yescharacteristic
1260#102C22×D4311yescharacteristic
1261#102C22×D4311yescharacteristic
1262C22⋊C8—431no—
1263C22⋊C8—431no—
1264C22⋊C8C22×D4311yescharacteristic
1265C22⋊C8C22×D4311yescharacteristic
1266#97—431no—
1267#97—431no—
1268#97—431no—
1269#97C22×D4311yescharacteristic
1270C4×C8—431no—
1271C4×C8—431no—
1272C4×C8—431no—
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8C22×D4311yescharacteristic
1278#41—3442no—
1279#41—3442no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—431no—
1283C2×Q8—431no—
1284C2×Q8—431no—
1285C2×Q8—431no—
1286C2×Q8—431no—
1287C2×Q8—431no—
1288C2×Q8—431no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—861no—
1295C2×Q8—862no—
1296C2×Q8—862no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—3442no—
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—21no—
1303C2×D4—21no—
1304C2×D4—431no—
1305C2×D4—861no—
1306C2×D4—861no—
1307C2×D4—861no—
1308C2×D4—861no—
1309C2×D4—861no—
1310C2×D4C23×D4311yescharacteristic
1311C2×D4C23×D4311yescharacteristic
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—431no—
1316C22×C4—431no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—861no—
1325C22×C4C23×D4311yescharacteristic
1326Q16—862no—
1327Q16—862no—
1328SD16—862no—
1329SD16—862no—
1330SD16—862no—
1331SD16—862no—
1332SD16—862no—
1333SD16—862no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8—431no—
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C2×C8C23×D4311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4D4×D4311yescharacteristic
1405C4⋊C4D4×D4311yescharacteristic
1406C4⋊C4C23×D4311yescharacteristic
1407C4⋊C4C23×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
1419C22⋊C4—861no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4D4×D4311yescharacteristic
1436C22⋊C4D4×D4311yescharacteristic
1437C42—21no—
1438C42—431no—
1439C42—431no—
1440C42—431no—
1441C42—431no—
1442C42—431no—
1443C42—431no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42—861no—
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—861no—
1465C23C2×D4×D4311yescharacteristic
1466Q8—81no—
1467Q8—81no—
1468Q8—432no—
1469Q8—432no—
1470Q8—862no—
1471Q8—862no—
1472Q8—864no—
1473Q8—861no—
1474Q8—861no—
1475Q8—861no—
1476Q8—861no—
1477Q8—3441no—
1478Q8—3441no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—1721no—
1483Q8—1721no—
1484Q8—1722no—
1485Q8—1722no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—81no—
1491D4—81no—
1492D4—81no—
1493D4—81no—
1494D4—861no—
1495D4—861no—
1496D4—3441no—
1497D4—3441no—
1498D4—3441no—
1499D4—3441no—
1500D4—1722no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—431no—
1516C2×C4—431no—
1517C2×C4—431no—
1518C2×C4—431no—
1519C2×C4—431no—
1520C2×C4—862no—
1521C2×C4—864no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—3441no—
1534C2×C4—3441no—
1535C2×C4—1722no—
1536C2×C4—1721no—
1537C2×C4C2×D4×D4311yescharacteristic
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C24×D4311yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—861no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22C22×D4×D4311yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—432no—
1576C4—861no—
1577C4—861no—
1578C4—861no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—862no—
1584C4—862no—
1585C4—1721no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C42−1+4×D4311yescharacteristic
1591C42−1+4×D4311yescharacteristic
1592C2—41no—
1593C2—81no—
1594C2—81no—
1595C2—3441no—
1596C2#1914824411yescharacteristic
1597C2#577×D4311yescharacteristic
1598C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#19149056C2
hypercenter#3241D43
hypocenterC43#61865
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #19148403C2semidirect
3. #19147537C2semidirect
4. #19147535C2semidirect
5. #19147524C2semidirect
6. #19147511C2semidirect
7. #19147483C2semidirect
8. #19147474C2semidirect
9. #19147467C2semidirect
10. #19147450C2semidirect
11. #19147412C2semidirect
12. #19147370C2semidirect
13. #19147358C2semidirect
14. #19147321C2semidirect
15. #19147296C2semidirect
16. #19147294C2semidirect
17. #19147294C2semidirect
18. #19147263C2semidirect
19. #19145893C2semidirect
20. #19145889C2semidirect
21. #19145844C2semidirect
22. #19145771C2semidirect
23. #19145729C2semidirect
24. #19144882C2semidirect
25. #19144881C2semidirect
26. #19144826C2semidirect
27. #19144819C2semidirect
28. #19144672C2semidirect
29. #19144623C2semidirect
30. #19143694C2semidirect
31. C43×#3241C2semidirect
814. #3241D43semidirect
1002. C43#61865semidirect

Maximal subgroups

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

subgroupindex
#191490562
#191484032
#191475372
#191475352
#191475242
#191475112
#191474832
#191474742
#191474672
#191474502
#191474122
#191473702
#191473582
#191473212
#191472962
#191472942
#191472632
#191458932
#191458892
#191458442
#191457712
#191457292
#191448822
#191448812
#191448262
#191448192
#191446722
#191446232
#191436942
C43×#32412
#6186543