Finite Group Databasebeta

← #25987423

Subgroups — #25987423

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149003C211yesmaximal, characteristic, complemented
2#19148410C211yesmaximal, characteristic, complemented
3#19147513C211yesmaximal, characteristic, complemented
4#19147511C211yesmaximal, characteristic, complemented
5#19147508C211yesmaximal, characteristic, complemented
6#19147502C211yesmaximal, characteristic, complemented
7#19147478C211yesmaximal, characteristic, complemented
8#19147476C211yesmaximal, characteristic, complemented
9#19147447C211yesmaximal, characteristic, complemented
10#19147445C211yesmaximal, characteristic, complemented
11#19147412C211yesmaximal, characteristic, complemented
12#19147406C211yesmaximal, characteristic, complemented
13#19147316C211yesmaximal, characteristic, complemented
14#19147310C211yesmaximal, characteristic, complemented
15#19147283C211yesmaximal, characteristic, complemented
16#19147277C211yesmaximal, characteristic, complemented
17#19147258C211yesmaximal, characteristic, complemented
18#19147252C211yesmaximal, characteristic, complemented
19#19145884C211yesmaximal, characteristic, complemented
20#19145878C211yesmaximal, characteristic, complemented
21#19145876C211yesmaximal, characteristic, complemented
22#19145744C211yesmaximal, characteristic, complemented
23#19145714C211yesmaximal, characteristic, complemented
24#19144860C211yesmaximal, characteristic, complemented
25#19144859C211yesmaximal, characteristic, complemented
26#19144852C211yesmaximal, characteristic, complemented
27#19144851C211yesmaximal, characteristic, complemented
28#19144661C211yesmaximal, characteristic, complemented
29#19144650C211yesmaximal, characteristic
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3243C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583632C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583629C2211yescharacteristic
39#14583629C2211yescharacteristic
40#14583626C2211yescharacteristic
41#14583626C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583618C2211yescharacteristic
44#14583616—21no—
45#14583605C2211yescharacteristic
46#14583605C2211yescharacteristic
47#14583603—21no—
48#14583603—21no—
49D4×Dic86C2211yescharacteristic
50#14583564C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583564C2211yescharacteristic
53#14583562—21no—
54#14583562—21no—
55#14583562—21no—
56#14583529—21no—
57#14583527C2211yescharacteristic
58#14583526—21no—
59#14583522C2211yescharacteristic
60#14583520C2211yescharacteristic
61#14583517—21no—
62#14583516C2211yescharacteristic
63#14583513—21no—
64#14583471—21no—
65#14583469—21no—
66#14583455—21no—
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583444C2211yescharacteristic
70C2×#13063324C2211yescharacteristic
71C4⋊Q8×D43—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583303C2211yescharacteristic
83#14583303C2211yescharacteristic
84#14583302C2211yescharacteristic
85#14583261C2211yescharacteristic
86#14583260C2211yescharacteristic
87#14583257C2211yescharacteristic
88#14583256C2211yescharacteristic
89#14583255C2211yescharacteristic
90#14583252C2211yescharacteristic
91#14583248C2211yescharacteristic
92#14583248C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583240C2211yescharacteristic
96#14583235C2211yescharacteristic
97#14583234C2211yescharacteristic
98#14583232C2211yescharacteristic
99#14583223C2211yescharacteristic
100#14583213C2211yescharacteristic
101#14583212C2211yescharacteristic
102#14583210C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583208C2211yescharacteristic
105#14583203C2211yescharacteristic
106#14583198C2211yescharacteristic
107#14583197C2211yescharacteristic
108#14583196C2211yescharacteristic
109#14583195C2211yescharacteristic
110#14583193C2211yescharacteristic
111#14583193C2211yescharacteristic
112#14583193C2211yescharacteristic
113#14583193C2211yescharacteristic
114#14583193C2211yescharacteristic
115#14583193C2211yescharacteristic
116#14583192C2211yescharacteristic
117#14583192C2211yescharacteristic
118#14583192C2211yescharacteristic
119#14583191C2211yescharacteristic
120#14583191C2211yescharacteristic
121#14583188C2211yescharacteristic
122#14583183C2211yescharacteristic
123#14583180C2211yescharacteristic
124#14583178C2211yescharacteristic
125#14583178C2211yescharacteristic
126#14583178C2211yescharacteristic
127#14583178C2211yescharacteristic
128#14583178C2211yescharacteristic
129#14583178C2211yescharacteristic
130#14583177C2211yescharacteristic
131#14583177C2211yescharacteristic
132#14583177C2211yescharacteristic
133#14583176C2211yescharacteristic
134#14583176C2211yescharacteristic
135#14583124C2211yescharacteristic
136#14583122C2211yescharacteristic
137#14583120C2211yescharacteristic
138#14583118C2211yescharacteristic
139#14583117C2211yescharacteristic
140#14583115C2211yescharacteristic
141#14583113C2211yescharacteristic
142#14583111C2211yescharacteristic
143#14583108C2211yescharacteristic
144#14583103C2211yescharacteristic
145#14583098C2211yescharacteristic
146#14583093C2211yescharacteristic
147#14583063C2211yescharacteristic
148#14583059C2211yescharacteristic
149#14583046C2211yescharacteristic
150#14583042C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583002C2211yescharacteristic
160#14583001C2211yescharacteristic
161#14583001C2211yescharacteristic
162#14582999C2211yescharacteristic
163#14582998C2211yescharacteristic
164#14582998C2211yescharacteristic
165#14582997C2211yescharacteristic
166#14582996C2211yescharacteristic
167C4×Dic172C2211yescharacteristic
168#14582993C2211yescharacteristic
169#14582993C2211yescharacteristic
170C4×#10621885C2211yescharacteristic
171#14582991C2211yescharacteristic
172#14582991C2211yescharacteristic
173#14582990C2211yescharacteristic
174#14582986C2211yescharacteristic
175#14582986C2211yescharacteristic
176#14582984C2211yescharacteristic
177C4×D344C2211yescharacteristic
178#14582981C2211yescharacteristic
179#14582981C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#500C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#484C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×Dic86—21no—
207C2×Q8×D43—21no—
208C2×Q8×D43—21no—
209C2×Q8×D43—21no—
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×D344C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218#13063325—21no—
219#13063325—21no—
220#13063325C2311yescharacteristic
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324D411yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063323—21no—
243#13063323—21no—
244#13063323—21no—
245#13063323—21no—
246#13063323—21no—
247#13063323—21no—
248#13063323C2311yescharacteristic
249#13063321C2311yescharacteristic
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063317—21no—
258#13063316D411yescharacteristic
259#13063316D411yescharacteristic
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063314C2311yescharacteristic
268#13063313C2311yescharacteristic
269#13063312—21no—
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063309—21no—
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063304—21no—
287#13063304C2311yescharacteristic
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302D411yescharacteristic
308#13063302D411yescharacteristic
309#13063302D411yescharacteristic
310#13063302D411yescharacteristic
311#13063301—21no—
312#13063301—21no—
313#13063301—21no—
314#13063299C2311yescharacteristic
315#13063297—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063282—21no—
362#13063282—21no—
363#13063281—21no—
364#13063281—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C2×C4×Dic43C2311yescharacteristic
372C42×D43—21no—
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
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
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×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#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×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×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494C22×Dic43C2×D411yescharacteristic
495C22×Dic43C2×D411yescharacteristic
496Q8×D43—82no—
497Q8×D43—82no—
498Q8×D43—82no—
499#10621900—82no—
500#10621898—22no—
501#10621898—22no—
502C2×D172C2411yescharacteristic
503C2×D172C2411yescharacteristic
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×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86—82no—
526C2×Dic86—82no—
527C2×Dic86C2×D411yescharacteristic
528C2×Dic86C2×D411yescharacteristic
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×C8×C43C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2×D411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43C2×D411yescharacteristic
562C22⋊C4×C43C2×D411yescharacteristic
563C42×C43—21no—
564C42×C43—21no—
565C42×C43C2411yescharacteristic
566C42×C43C2411yescharacteristic
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43C2×D411yescharacteristic
573C22⋊Dic43C2×D411yescharacteristic
574#10621885—22no—
575#10621884—22no—
576#10621883—22no—
577#10621882—22no—
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—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43C2×D411yescharacteristic
599C4⋊Dic43C2×D411yescharacteristic
600C4⋊Dic43C2×D411yescharacteristic
601C4⋊Dic43C2×D411yescharacteristic
602C4⋊Dic43C2×D411yescharacteristic
603C4⋊Dic43C2×D411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661Dic172—22no—
662D344—22no—
663#10621873—22no—
664#10621873—22no—
665C23×C43—21no—
666C23×C43C22×D411yescharacteristic
667C22×D43—21no—
668C22×D43—21no—
669Q8×C43—21no—
670Q8×C43—21no—
671Q8×C43—81no—
672Q8×C43—81no—
673Q8×C43—81no—
674D4×C43—21no—
675D4×C43—21no—
676D4×C43—81no—
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—21no—
685C2×C4×C43—21no—
686C2×C4×C43—81no—
687C2×C4×C43—81no—
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C2511yescharacteristic
694C22⋊D43—24no—
695C22⋊D43—42no—
696C22⋊D43—81no—
697C22⋊D43—81no—
698C2×Dic43—21no—
699C2×Dic43—22no—
700C2×Dic43—22no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—42no—
707C2×Dic43—81no—
708C2×Dic43—81no—
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717D172—21no—
718D172—21no—
719D172—21no—
720D1722−1+412yes—
721C4×D43—24no—
722C4×D43—42no—
723C4×D43—42no—
724C4×D43—42no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D43—81no—
731Dic86—21no—
732Dic86—22no—
733Dic86—22no—
734Dic86—22no—
735Dic86—22no—
736Dic86—21no—
737Dic86—21no—
738Dic86—42no—
739Dic86—42no—
740Dic86—42no—
741Dic86—81no—
742Dic86—81no—
743Dic86—81no—
744Dic86—81no—
745Dic86—81no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749Dic862−1+412yes—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C8×C43—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757C43⋊C8—21no—
758#61870—431nomaximal, Sylow
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—21no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43C23×D411yescharacteristic
766C2×D43—22no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C4×C43—21no—
773C4×C43—21no—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43C2×2−1+411yescharacteristic
785C4×C43C2×2−1+411yescharacteristic
786Dic43—22no—
787Dic43—21no—
788Dic43—21no—
789Dic43—21no—
790Dic43—21no—
791Dic43—21no—
792Dic43—21no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#57612yes—
799Dic43#57812yes—
800#3550—431no—
801#3503—431no—
802#3386—431no—
803#3386—431no—
804#3385—431no—
805#3385—431no—
806Q8×Q16—431no—
807Q8×Q16—431no—
808Q8×D8—431no—
809Q8×D8—431no—
810#3375—431no—
811#3375—431no—
812#3367—431no—
813#3367—431no—
814#3364—431no—
815#3364—431no—
816#3361—431no—
817#3361—431no—
818#3243—431no—
819#3243—431no—
820#3243—431no—
821#3243D4311yescharacteristic, complemented
822#3230—431no—
823#3226—431no—
824#3124—431no—
825#3124—431no—
826#3124—431no—
827#3124—431no—
828#3107—431no—
829#3106—431no—
830#2986—431no—
831C2×C43—41no—
832C2×C43—81no—
833C2×C43#348611yescharacteristic
834C2×C43C2×#57611yescharacteristic
835C2×C43C2×#57811yescharacteristic
836D43—42no—
837D43—81no—
838#563—861no—
839#563—861no—
840#559—431no—
841#559—431no—
842Q82—431no—
843Q82—431no—
844Q82—431no—
845Q82—431no—
846#557—431no—
847#557—431no—
848#556—431no—
849#556—431no—
850#556—861no—
851#554—431no—
852#554—431no—
853#554—861no—
854#554—861no—
855D4×Q8—431no—
856D4×Q8—431no—
857D4×Q8—431no—
858D4×Q8—431no—
859D4×Q8—861no—
860D4×Q8—861no—
861D4×Q8—861no—
862#544—431no—
863#544—861no—
864#544—861no—
865#544C2×D4311yescharacteristic
866#542—431no—
867#542—431no—
868#542—431no—
869#542—861no—
870#542—861no—
871#542C2×D4311yescharacteristic
872#536—861no—
873#536—861no—
874#533—431no—
875#533—431no—
876#533—861no—
877#532—431no—
878C2×C4⋊Q8—431no—
879C2×C4⋊Q8—861no—
880#520—431no—
881#520—431no—
882C4×#41—431no—
883#501—431no—
884#501—431no—
885#501—431no—
886#501C2×D4311yescharacteristic
887#500—431no—
888#500—431no—
889#500—431no—
890#500—431no—
891#500—431no—
892#500—431no—
893#500—431no—
894#500C2×D4311yescharacteristic
895#489—431no—
896#489—431no—
897#489—431no—
898#489C2×D4311yescharacteristic
899#488—431no—
900#488—431no—
901#488—431no—
902#488C2×D4311yescharacteristic
903#487—431no—
904#487—431no—
905#486—431no—
906#486—431no—
907#485—431no—
908#485C2×D4311yescharacteristic
909#484—431no—
910#484—431no—
911#484—431no—
912#484C2×D4311yescharacteristic
913#482—431no—
914#482C2×D4311yescharacteristic
915#480—431no—
916#480—431no—
917#480—431no—
918#480C2×D4311yescharacteristic
919#479—431no—
920#479—431no—
921#479—431no—
922#479C2×D4311yescharacteristic
923#478—431no—
924#478—431no—
925#478—431no—
926#478C2×D4311yescharacteristic
927#477—431no—
928#477—431no—
929#477—431no—
930#477—431no—
931#477—431no—
932#477—431no—
933#477—431no—
934#477—431no—
935#477—431no—
936#477—431no—
937#477—431no—
938#477—431no—
939#477C2×D4311yescharacteristic
940#476—431no—
941#475—431no—
942#474—431no—
943#474—431no—
944#474—431no—
945#474—431no—
946#474—431no—
947#474—431no—
948#474—431no—
949#474—431no—
950#474—431no—
951#474—431no—
952#474—431no—
953#474—431no—
954#474C2×D4311yescharacteristic
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#463—431no—
960#463—431no—
961#463—431no—
962#463—431no—
963#462—431no—
964#461—431no—
965#460—431no—
966#459—431no—
967#452—431no—
968#452—431no—
969#449—431no—
970#449—431no—
971#446—431no—
972#446—431no—
973#446—431no—
974#446—431no—
975C8×Q8—431no—
976C8×Q8—431no—
977C8×Q8—431no—
978C8×Q8—431no—
979#440—431no—
980#440—431no—
981#440—431no—
982#440—431no—
983#440—431no—
984#440—431no—
985#440—431no—
986#440—431no—
987C4×Q16—431no—
988C4×Q16—431no—
989C4×Q16—431no—
990C4×Q16—431no—
991C4×Q16—431no—
992C4×Q16—431no—
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996C4×SD16—431no—
997C4×D8—431no—
998C4×D8—431no—
999C4×D8—431no—
1000C4×D8—431no—
1001C4×D8—431no—
1002C4×D8—431no—
1003#433—431no—
1004#433—431no—
1005#433—431no—
1006#433C2×D4311yescharacteristic
1007#431—431no—
1008#431—431no—
1009C43#6187011yescharacteristic, complemented, Sylow
1010C2×#41—431no—
1011C2×#41—861no—
1012C22×Q8—861no—
1013C22×Q8—861no—
1014C22×Q8—861no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C2×Q16—431no—
1018C2×Q16—431no—
1019C2×SD16—431no—
1020C2×SD16—431no—
1021C2×SD16—431no—
1022C2×SD16—431no—
1023C2×D8—431no—
1024C2×D8—431no—
1025C4⋊Q8—21no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8C22×D4311yescharacteristic
1058C4⋊Q8C22×D4311yescharacteristic
1059C4⋊Q8C22×D4311yescharacteristic
1060#127—431no—
1061#126—21no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#125—21no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125C22×D4311yescharacteristic
1081#125C22×D4311yescharacteristic
1082#124—21no—
1083#124—431no—
1084#124—431no—
1085#124—431no—
1086#124—861no—
1087#124—861no—
1088#124—861no—
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#124C22×D4311yescharacteristic
1093#123—21no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—431no—
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
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—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8C22×D4311yescharacteristic
1136#121—431no—
1137#121—861no—
1138#121C22×D4311yescharacteristic
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—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
1152C4×Q8—431no—
1153C4×Q8—431no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8C22×D4311yescharacteristic
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4C22×D4311yescharacteristic
1183#117—431no—
1184#117—861no—
1185#117—861no—
1186#117—861no—
1187#117—861no—
1188#117—861no—
1189#117—861no—
1190#117C22×D4311yescharacteristic
1191#117C22×D4311yescharacteristic
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—861no—
1194C2×C4⋊C4—861no—
1195C2×C4⋊C4—861no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C42—431no—
1200C2×C42—861no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107—431no—
1207#107—431no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107C22×D4311yescharacteristic
1216#107C22×D4311yescharacteristic
1217#107C22×D4311yescharacteristic
1218#107C22×D4311yescharacteristic
1219#107C22×D4311yescharacteristic
1220#107C22×D4311yescharacteristic
1221#106—431no—
1222#106—431no—
1223#106C22×D4311yescharacteristic
1224#106C22×D4311yescharacteristic
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8—431no—
1230C4⋊C8—431no—
1231C4⋊C8—431no—
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8C22×D4311yescharacteristic
1236C4⋊C8C22×D4311yescharacteristic
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103C22×D4311yescharacteristic
1250#103C22×D4311yescharacteristic
1251#103C22×D4311yescharacteristic
1252#103C22×D4311yescharacteristic
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102C22×D4311yescharacteristic
1266#102C22×D4311yescharacteristic
1267#102C22×D4311yescharacteristic
1268#102C22×D4311yescharacteristic
1269C22⋊C8—431no—
1270C22⋊C8—431no—
1271C22⋊C8C22×D4311yescharacteristic
1272C22⋊C8C22×D4311yescharacteristic
1273#97—431no—
1274#97—431no—
1275#97—431no—
1276#97C22×D4311yescharacteristic
1277C4×C8—431no—
1278C4×C8—431no—
1279C4×C8—431no—
1280C4×C8—431no—
1281C4×C8—431no—
1282C4×C8—431no—
1283C4×C8—431no—
1284C4×C8C22×D4311yescharacteristic
1285#41—862no—
1286#41—862no—
1287#41—3442no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—431no—
1292C2×Q8—431no—
1293C2×Q8—431no—
1294C2×Q8—431no—
1295C2×Q8—431no—
1296C2×Q8—431no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—861no—
1301C2×Q8—861no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—861no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—3442no—
1309C2×Q8—3442no—
1310C2×Q8—3442no—
1311C2×Q8—3442no—
1312C2×Q8—3442no—
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—21no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4C23×D4311yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—861no—
1327C22×C4—861no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4C23×D4311yescharacteristic
1340Q16—862no—
1341Q16—862no—
1342SD16—862no—
1343SD16—862no—
1344SD16—862no—
1345SD16—862no—
1346D8—862no—
1347D8—862no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8C23×D4311yescharacteristic
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1415C4⋊C4D4×D4311yescharacteristic
1416C4⋊C4C23×D4311yescharacteristic
1417C4⋊C4C23×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C4⋊C4C23×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4D4×D4311yescharacteristic
1450C22⋊C4D4×D4311yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—431no—
1454C42—431no—
1455C42—431no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—861no—
1460C42—861no—
1461C42—861no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42C23×D4311yescharacteristic
1471C42C23×D4311yescharacteristic
1472C23—21no—
1473C23—861no—
1474C23—861no—
1475C23C2×D4×D4311yescharacteristic
1476Q8—21no—
1477Q8—21no—
1478Q8—81no—
1479Q8—81no—
1480Q8—81no—
1481Q8—432no—
1482Q8—862no—
1483Q8—862no—
1484Q8—862no—
1485Q8—862no—
1486Q8—861no—
1487Q8—861no—
1488Q8—861no—
1489Q8—3441no—
1490Q8—3441no—
1491Q8—3441no—
1492Q8—3441no—
1493Q8—3441no—
1494Q8—3441no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—1722no—
1498Q8—1722no—
1499Q8—1722no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—432no—
1504D4—864no—
1505D4—861no—
1506D4—861no—
1507D4—861no—
1508D4—3441no—
1509D4—3441no—
1510D4—1722no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—431no—
1528C2×C4—431no—
1529C2×C4—431no—
1530C2×C4—864no—
1531C2×C4—862no—
1532C2×C4—862no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—3441no—
1540C2×C4—3441no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—3441no—
1545C2×C4—3441no—
1546C2×C4—3441no—
1547C2×C4—1722no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1722no—
1551C2×C4C2×D4×D4311yescharacteristic
1552C2×C4C2×D4×D4311yescharacteristic
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C24×D4311yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—861no—
1562C8—861no—
1563C8—861no—
1564C8—861no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—862no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22C22×D4×D4311yescharacteristic
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—432no—
1591C4—432no—
1592C4—861no—
1593C4—861no—
1594C4—861no—
1595C4—861no—
1596C4—861no—
1597C4—861no—
1598C4—862no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C42−1+4×D4311yescharacteristic
1605C42−1+4×D4311yescharacteristic
1606C2—41no—
1607C2—81no—
1608C2—3441no—
1609C2—1722no—
1610C2#1914824411yescharacteristic
1611C2#576×D4311yescharacteristic
1612C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3243C2
socleC22×C43C23×D4
prime radical#19144650C2
hypercenter#3243D43
hypocenterC43#61870
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #19149003C2semidirect
2. #19148410C2semidirect
3. #19147513C2semidirect
4. #19147511C2semidirect
5. #19147508C2semidirect
6. #19147502C2semidirect
7. #19147478C2semidirect
8. #19147476C2semidirect
9. #19147447C2semidirect
10. #19147445C2semidirect
11. #19147412C2semidirect
12. #19147406C2semidirect
13. #19147316C2semidirect
14. #19147310C2semidirect
15. #19147283C2semidirect
16. #19147277C2semidirect
17. #19147258C2semidirect
18. #19147252C2semidirect
19. #19145884C2semidirect
20. #19145878C2semidirect
21. #19145876C2semidirect
22. #19145744C2semidirect
23. #19145714C2semidirect
24. #19144860C2semidirect
25. #19144859C2semidirect
26. #19144852C2semidirect
27. #19144851C2semidirect
28. #19144661C2semidirect
30. #19143694C2semidirect
31. C43×#3243C2semidirect
821. #3243D43semidirect
1009. C43#61870semidirect

Maximal subgroups

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

subgroupindex
#191490032
#191484102
#191475132
#191475112
#191475082
#191475022
#191474782
#191474762
#191474472
#191474452
#191474122
#191474062
#191473162
#191473102
#191472832
#191472772
#191472582
#191472522
#191458842
#191458782
#191458762
#191457442
#191457142
#191448602
#191448592
#191448522
#191448512
#191446612
#191446502
#191436942
C43×#32432
#6187043