Finite Group Databasebeta

← #25987406

Subgroups — #25987406

Order 11008.

1644 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149088C211yesmaximal, characteristic, complemented
2#19148410C211yesmaximal, characteristic
3#19147524C211yesmaximal, characteristic, complemented
4#19147522C211yesmaximal, characteristic, complemented
5#19147519C211yesmaximal, characteristic, complemented
6#19147513C211yesmaximal, characteristic, complemented
7#19147483C211yesmaximal, characteristic, complemented
8#19147481C211yesmaximal, characteristic, complemented
9#19147473C211yesmaximal, characteristic, complemented
10#19147467C211yesmaximal, characteristic, complemented
11#19147401C211yesmaximal, characteristic, complemented
12#19147395C211yesmaximal, characteristic, complemented
13#19147379C211yesmaximal, characteristic, complemented
14#19147373C211yesmaximal, characteristic, complemented
15#19147272C211yesmaximal, characteristic, complemented
16#19147270C211yesmaximal, characteristic, complemented
17#19147236C211yesmaximal, characteristic, complemented
18#19147234C211yesmaximal, characteristic, complemented
19#19145869C211yesmaximal, characteristic, complemented
20#19145863C211yesmaximal, characteristic, complemented
21#19145861C211yesmaximal, characteristic, complemented
22#19145744C211yesmaximal, characteristic, complemented
23#19145737C211yesmaximal, characteristic, complemented
24#19144812C211yesmaximal, characteristic
25#19144811C211yesmaximal, characteristic
26#19144804C211yesmaximal, characteristic
27#19144803C211yesmaximal, characteristic
28#19144661C211yesmaximal, characteristic
29#19144661C211yesmaximal, characteristic
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3242C211yesmaximal, characteristic, complemented
32C43⋊#564—21no—
33C43⋊#564—21no—
34#14583629C2211yescharacteristic
35#14583629C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583627C2211yescharacteristic
38#14583626—21no—
39#14583626—21no—
40#14583626C2211yescharacteristic
41#14583626C2211yescharacteristic
42#14583626C2211yescharacteristic
43#14583626C2211yescharacteristic
44#14583625C2211yescharacteristic
45#14583625C2211yescharacteristic
46#14583624C2211yescharacteristic
47#14583624C2211yescharacteristic
48#14583605C2211yescharacteristic
49#14583605C2211yescharacteristic
50#14583603—21no—
51#14583603—21no—
52#14583564C2211yescharacteristic
53#14583564C2211yescharacteristic
54#14583562—21no—
55#14583562—21no—
56#14583529—21no—
57#14583527C2211yescharacteristic
58#14583526—21no—
59#14583511C2211yescharacteristic
60#14583509C2211yescharacteristic
61#14583509C2211yescharacteristic
62#14583506—21no—
63#14583506—21no—
64#14583506—21no—
65#14583506—21no—
66#14583455—21no—
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583451C2211yescharacteristic
70C2×#13063324C2211yescharacteristic
71C4⋊Q8×D43—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583307C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583299C2211yescharacteristic
82#14583298C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583269C2211yescharacteristic
86#14583266C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583251C2211yescharacteristic
89#14583248C2211yescharacteristic
90#14583248C2211yescharacteristic
91#14583248C2211yescharacteristic
92#14583248C2211yescharacteristic
93#14583248C2211yescharacteristic
94#14583248C2211yescharacteristic
95#14583240C2211yescharacteristic
96#14583240C2211yescharacteristic
97#14583235C2211yescharacteristic
98#14583234C2211yescharacteristic
99#14583232C2211yescharacteristic
100#14583230C2211yescharacteristic
101#14583229C2211yescharacteristic
102#14583227C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583209C2211yescharacteristic
105#14583208C2211yescharacteristic
106#14583207C2211yescharacteristic
107#14583205C2211yescharacteristic
108#14583205C2211yescharacteristic
109#14583204C2211yescharacteristic
110#14583203C2211yescharacteristic
111#14583203C2211yescharacteristic
112#14583203C2211yescharacteristic
113#14583202C2211yescharacteristic
114#14583200C2211yescharacteristic
115#14583198C2211yescharacteristic
116#14583196C2211yescharacteristic
117#14583193C2211yescharacteristic
118#14583193C2211yescharacteristic
119#14583193C2211yescharacteristic
120#14583192C2211yescharacteristic
121#14583192C2211yescharacteristic
122#14583192C2211yescharacteristic
123#14583191C2211yescharacteristic
124#14583183C2211yescharacteristic
125#14583183C2211yescharacteristic
126#14583183C2211yescharacteristic
127#14583183C2211yescharacteristic
128#14583183C2211yescharacteristic
129#14583182C2211yescharacteristic
130#14583182C2211yescharacteristic
131#14583182C2211yescharacteristic
132#14583181C2211yescharacteristic
133#14583178C2211yescharacteristic
134#14583178C2211yescharacteristic
135#14583110C2211yescharacteristic
136#14583108C2211yescharacteristic
137#14583108C2211yescharacteristic
138#14583108C2211yescharacteristic
139#14583108C2211yescharacteristic
140#14583106C2211yescharacteristic
141#14583105C2211yescharacteristic
142#14583103C2211yescharacteristic
143#14583103C2211yescharacteristic
144#14583103C2211yescharacteristic
145#14583103C2211yescharacteristic
146#14583101C2211yescharacteristic
147#14583063C2211yescharacteristic
148#14583063C2211yescharacteristic
149#14583059C2211yescharacteristic
150#14583059C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583007C2211yescharacteristic
160#14583005C2211yescharacteristic
161#14583004C2211yescharacteristic
162#14583003C2211yescharacteristic
163#14583002C2211yescharacteristic
164#14583001C2211yescharacteristic
165#14582998C2211yescharacteristic
166#14582997C2211yescharacteristic
167C4×Dic172C2211yescharacteristic
168#14582993C2211yescharacteristic
169#14582993C2211yescharacteristic
170#14582993C2211yescharacteristic
171C4×#10621885C2211yescharacteristic
172#14582991C2211yescharacteristic
173#14582991C2211yescharacteristic
174#14582991C2211yescharacteristic
175C4×#10621873C2211yescharacteristic
176C4×#10621884C2211yescharacteristic
177#14582986C2211yescharacteristic
178#14582986C2211yescharacteristic
179#14582986C2211yescharacteristic
180#14582984C2211yescharacteristic
181#14582984C2211yescharacteristic
182#14582984C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#485C2211yescharacteristic
196C43×#484C2211yescharacteristic
197C43×#483C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#479C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C22×Dic86—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215#13063325—21no—
216#13063325C2311yescharacteristic
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324D411yescharacteristic
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323—21no—
239#13063323—21no—
240#13063323—21no—
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063323C2311yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317—21no—
255#13063317—21no—
256#13063317C2311yescharacteristic
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316D411yescharacteristic
264#13063316D411yescharacteristic
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063316C2311yescharacteristic
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315—21no—
287#13063315—21no—
288#13063315—21no—
289#13063315—21no—
290#13063315—21no—
291#13063305—21no—
292#13063305—21no—
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—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—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
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
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283—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#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
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#126×C43—21no—
441#125×C43—21no—
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×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#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C22×C4×C43—21no—
483C22×C4×C43C2411yescharacteristic
484C2×C22⋊D43—21no—
485C22×Dic43—21no—
486C22×Dic43C2×D411yescharacteristic
487C22×Dic43C2×D411yescharacteristic
488Q8×D43—82no—
489Q8×D43—82no—
490#10621898—22no—
491#10621898—22no—
492C2×D172C2411yescharacteristic
493C2×C4×D43—21no—
494C2×C4×D43—21no—
495C2×C4×D43—21no—
496C2×C4×D43—21no—
497C2×C4×D43—21no—
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×Dic86—21no—
501C2×Dic86—21no—
502C2×Dic86—21no—
503C2×Dic86—21no—
504C2×Dic86—21no—
505C2×Dic86—21no—
506C2×Dic86—21no—
507C2×Dic86—21no—
508C2×Dic86—82no—
509C2×Dic86C2×D411yescharacteristic
510C2×Dic86C2×D411yescharacteristic
511C2×Dic86C2×D411yescharacteristic
512C2×Dic86C2×D411yescharacteristic
513C2×Dic86C2411yescharacteristic
514C2×Dic86C2411yescharacteristic
515C2×Dic86C2411yescharacteristic
516C2×C8×C43C2411yescharacteristic
517C2×C8×C43C2411yescharacteristic
518C2×C8×C43C2411yescharacteristic
519C2×C8×C43C2411yescharacteristic
520C4⋊C4×C43—21no—
521C4⋊C4×C43—21no—
522C4⋊C4×C43—21no—
523C4⋊C4×C43—21no—
524C4⋊C4×C43—21no—
525C4⋊C4×C43—21no—
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
536C4⋊C4×C43C2×D411yescharacteristic
537C4⋊C4×C43C2411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C4⋊C4×C43C2411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C22⋊C4×C43—21no—
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43C2×D411yescharacteristic
547C22⋊C4×C43C2×D411yescharacteristic
548C42×C43—21no—
549C42×C43—21no—
550C42×C43—21no—
551C42×C43C2411yescharacteristic
552C42×C43C2411yescharacteristic
553C22⋊Dic43—21no—
554C22⋊Dic43—21no—
555C22⋊Dic43C2×D411yescharacteristic
556C22⋊Dic43C2×D411yescharacteristic
557#10621885—22no—
558#10621885—22no—
559#10621884—22no—
560#10621884—22no—
561(C2×D43)⋊C4—21no—
562(C2×D43)⋊C4—21no—
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4—21no—
567C4⋊Dic43—21no—
568C4⋊Dic43—21no—
569C4⋊Dic43—21no—
570C4⋊Dic43—21no—
571C4⋊Dic43—21no—
572C4⋊Dic43—21no—
573C4⋊Dic43—21no—
574C4⋊Dic43—21no—
575C4⋊Dic43—21no—
576C4⋊Dic43—21no—
577C4⋊Dic43—21no—
578C4⋊Dic43C2×D411yescharacteristic
579C4⋊Dic43C2×D411yescharacteristic
580C4⋊Dic43C2×D411yescharacteristic
581C4⋊Dic43C2×D411yescharacteristic
582C4⋊Dic43C2×D411yescharacteristic
583C4⋊Dic43C2×D411yescharacteristic
584C4⋊Dic43C2411yescharacteristic
585C4⋊Dic43C2411yescharacteristic
586C4⋊Dic43C2411yescharacteristic
587C4⋊Dic43C2411yescharacteristic
588Dic43⋊C4—21no—
589Dic43⋊C4—21no—
590Dic43⋊C4—21no—
591Dic43⋊C4—21no—
592Dic43⋊C4—21no—
593Dic43⋊C4—21no—
594Dic43⋊C4—21no—
595Dic43⋊C4—21no—
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×C43C22×D411yescharacteristic
663C22×D43—21no—
664Q8×C43—21no—
665Q8×C43—21no—
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C43—81no—
669Q8×C43—81no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—81no—
681C2×C4×C43C22×D411yescharacteristic
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C2511yescharacteristic
687C22⋊D43—24no—
688C2×Dic43—21no—
689C2×Dic43—22no—
690C2×Dic43—22no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—81no—
698C2×Dic43C22×D411yescharacteristic
699C2×Dic43C22×D411yescharacteristic
700C2×Dic43C22×D411yescharacteristic
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706D172—21no—
707D1722−1+412yes—
708C4×D43—24no—
709C4×D43—42no—
710C4×D43—42no—
711C4×D43—81no—
712C4×D43—81no—
713C4×D43—81no—
714C4×D43—81no—
715Dic86—21no—
716Dic86—22no—
717Dic86—22no—
718Dic86—22no—
719Dic86—22no—
720Dic86—21no—
721Dic86—21no—
722Dic86—21no—
723Dic86—21no—
724Dic86—42no—
725Dic86—42no—
726Dic86—42no—
727Dic86—42no—
728Dic86—81no—
729Dic86—81no—
730Dic86—81no—
731Dic86—81no—
732Dic862−1+412yes—
733C8×C43—21no—
734C8×C43—21no—
735C8×C43—21no—
736C8×C43—21no—
737C43⋊C8—21no—
738C43⋊C8—21no—
739C43⋊C8—21no—
740C43⋊C8—21no—
741#61869—431nomaximal, Sylow
742C22×C43—21no—
743C22×C43—21no—
744C22×C43—21no—
745C22×C43C23×D411yescharacteristic
746C2×D43—22no—
747C2×D43—41no—
748C2×D43—41no—
749C4×C43—21no—
750C4×C43—21no—
751C4×C43—21no—
752C4×C43—21no—
753C4×C43—21no—
754C4×C43—41no—
755C4×C43—41no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43C2×2−1+411yescharacteristic
763C4×C43C2×2−1+411yescharacteristic
764Dic43—22no—
765Dic43—21no—
766Dic43—21no—
767Dic43—21no—
768Dic43—21no—
769Dic43—21no—
770Dic43—21no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43#57712yes—
778Dic43#57812yes—
779#3556—431no—
780#3503—431no—
781#3387—431no—
782#3387—431no—
783#3386—431no—
784#3386—431no—
785#3383—431no—
786#3383—431no—
787#3381—431no—
788#3381—431no—
789#3374—431no—
790#3374—431no—
791#3372—431no—
792#3372—431no—
793#3363—431no—
794#3363—431no—
795#3359—431no—
796#3359—431no—
797#3242—431no—
798#3242—431no—
799#3242—431no—
800#3242D4311yescharacteristic, complemented
801#3230—431no—
802#3229—431no—
803#3120—431no—
804#3120—431no—
805#3120—431no—
806#3120—431no—
807#3107—431no—
808#3107—431no—
809#2986—431no—
810C2×C43—41no—
811C2×C43#348611yescharacteristic
812C2×C43C2×#57711yescharacteristic
813C2×C43C2×#57811yescharacteristic
814D43—42no—
815#564—861no—
816#564—861no—
817Q82—431no—
818Q82—431no—
819#557—431no—
820#557—431no—
821#557—431no—
822#557—431no—
823#557—431no—
824#557—431no—
825#557—431no—
826#557—431no—
827#557—431no—
828#557—431no—
829#557—861no—
830#557—861no—
831#554—431no—
832#554—431no—
833#554—861no—
834#554—861no—
835D4×Q8—431no—
836D4×Q8—431no—
837D4×Q8—861no—
838D4×Q8—861no—
839#544—431no—
840#544—861no—
841#544—861no—
842#544C2×D4311yescharacteristic
843#541—431no—
844#541—431no—
845#541—431no—
846#541—861no—
847#541—861no—
848#541—861no—
849#541—861no—
850#541C2×D4311yescharacteristic
851#533—431no—
852#533—431no—
853#533—431no—
854#533—861no—
855C2×C4⋊Q8—431no—
856C2×C4⋊Q8—861no—
857#520—431no—
858#520—431no—
859C4×#41—431no—
860#501—431no—
861#501—431no—
862#501—431no—
863#501C2×D4311yescharacteristic
864#500—431no—
865#500—431no—
866#499—431no—
867#499—431no—
868#499—431no—
869#499C2×D4311yescharacteristic
870#498—431no—
871#498—431no—
872#491—431no—
873#491—431no—
874#491—431no—
875#491C2×D4311yescharacteristic
876#487—431no—
877#487—431no—
878#487—431no—
879#487—431no—
880#487—431no—
881#487—431no—
882#487—431no—
883#487C2×D4311yescharacteristic
884#485—431no—
885#485—431no—
886#485C2×D4311yescharacteristic
887#485C2×D4311yescharacteristic
888#484—431no—
889#484—431no—
890#484—431no—
891#484C2×D4311yescharacteristic
892#483—431no—
893#483—431no—
894#483—431no—
895#483C2×D4311yescharacteristic
896#479—431no—
897#479—431no—
898#479—431no—
899#479—431no—
900#479—431no—
901#479—431no—
902#479—431no—
903#479—431no—
904#479—431no—
905#479—431no—
906#479C2×D4311yescharacteristic
907#479C2×D4311yescharacteristic
908#478—431no—
909#478—431no—
910#478—431no—
911#478—431no—
912#477—431no—
913#477—431no—
914#477—431no—
915#477—431no—
916#477—431no—
917#477—431no—
918#477—431no—
919#477C2×D4311yescharacteristic
920#475—431no—
921#475—431no—
922#475—431no—
923#475—431no—
924#475—431no—
925#475—431no—
926#475—431no—
927#475—431no—
928#475—431no—
929#475C2×D4311yescharacteristic
930#474—431no—
931#474—431no—
932#462—431no—
933#462—431no—
934#462—431no—
935#462—431no—
936#462—431no—
937#462—431no—
938#461—431no—
939#461—431no—
940#461—431no—
941#461—431no—
942#461—431no—
943#461—431no—
944#452—431no—
945#452—431no—
946#452—431no—
947#452—431no—
948#446—431no—
949#446—431no—
950#446—431no—
951#446—431no—
952C8×Q8—431no—
953C8×Q8—431no—
954C8×Q8—431no—
955C8×Q8—431no—
956#441—431no—
957#441—431no—
958#441—431no—
959#441—431no—
960#440—431no—
961#440—431no—
962#440—431no—
963#440—431no—
964C4×Q16—431no—
965C4×Q16—431no—
966C4×Q16—431no—
967C4×Q16—431no—
968C4×Q16—431no—
969C4×Q16—431no—
970C4×Q16—431no—
971C4×Q16—431no—
972C4×SD16—431no—
973C4×SD16—431no—
974C4×SD16—431no—
975C4×SD16—431no—
976C4×SD16—431no—
977C4×SD16—431no—
978C4×SD16—431no—
979C4×SD16—431no—
980#433—431no—
981#433—431no—
982#433—431no—
983#433C2×D4311yescharacteristic
984#431—431no—
985#431—431no—
986C43#6186911yescharacteristic, complemented, Sylow
987C2×#41—431no—
988C22×Q8—861no—
989C22×Q8—861no—
990C22×Q8—861no—
991C2×Q16—431no—
992C2×Q16—431no—
993C2×Q16—431no—
994C2×Q16—431no—
995C2×SD16—431no—
996C2×SD16—431no—
997C2×SD16—431no—
998C2×SD16—431no—
999C4⋊Q8—21no—
1000C4⋊Q8—431no—
1001C4⋊Q8—431no—
1002C4⋊Q8—431no—
1003C4⋊Q8—431no—
1004C4⋊Q8—431no—
1005C4⋊Q8—431no—
1006C4⋊Q8—431no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—431no—
1015C4⋊Q8—861no—
1016C4⋊Q8—861no—
1017C4⋊Q8—861no—
1018C4⋊Q8—861no—
1019C4⋊Q8—861no—
1020C4⋊Q8—861no—
1021C4⋊Q8—861no—
1022C4⋊Q8—861no—
1023C4⋊Q8—861no—
1024C4⋊Q8—861no—
1025C4⋊Q8—861no—
1026C4⋊Q8—861no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8C22×D4311yescharacteristic
1031C4⋊Q8C22×D4311yescharacteristic
1032C4⋊Q8C22×D4311yescharacteristic
1033#126—21no—
1034#126—21no—
1035#126—861no—
1036#126—861no—
1037#126—861no—
1038#126—861no—
1039#126—861no—
1040#126—861no—
1041#125—21no—
1042#125—21no—
1043#125—21no—
1044#125—431no—
1045#125—431no—
1046#125—431no—
1047#125—431no—
1048#125—431no—
1049#125—431no—
1050#125—431no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
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#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125C22×D4311yescharacteristic
1085#125C22×D4311yescharacteristic
1086#125C22×D4311yescharacteristic
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—431no—
1090C22⋊Q8—431no—
1091C22⋊Q8—431no—
1092C22⋊Q8—431no—
1093C22⋊Q8—431no—
1094C22⋊Q8—431no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1112C22⋊Q8C22×D4311yescharacteristic
1113C4×Q8—431no—
1114C4×Q8—431no—
1115C4×Q8—431no—
1116C4×Q8—431no—
1117C4×Q8—431no—
1118C4×Q8—431no—
1119C4×Q8—431no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—431no—
1124C4×Q8—431no—
1125C4×Q8—431no—
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8—861no—
1137C4×Q8—861no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×Q8—861no—
1141C4×Q8—861no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161#117—431no—
1162#117—861no—
1163#117—861no—
1164#117—861no—
1165#117—861no—
1166#117—861no—
1167#117C22×D4311yescharacteristic
1168#117C22×D4311yescharacteristic
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—861no—
1171C2×C4⋊C4—861no—
1172C2×C4⋊C4—861no—
1173C2×C4⋊C4—861no—
1174C2×C4⋊C4—861no—
1175C2×C4⋊C4C22×D4311yescharacteristic
1176C2×C42—431no—
1177C2×C42—861no—
1178#107—431no—
1179#107—431no—
1180#107—431no—
1181#107—431no—
1182#107—431no—
1183#107—431no—
1184#107—431no—
1185#107—431no—
1186#107C22×D4311yescharacteristic
1187#107C22×D4311yescharacteristic
1188#107C22×D4311yescharacteristic
1189#107C22×D4311yescharacteristic
1190#106—431no—
1191#106—431no—
1192#106—431no—
1193#106—431no—
1194#106—431no—
1195#106—431no—
1196#106—431no—
1197#106—431no—
1198#106C22×D4311yescharacteristic
1199#106C22×D4311yescharacteristic
1200#106C22×D4311yescharacteristic
1201#106C22×D4311yescharacteristic
1202C4⋊C8—431no—
1203C4⋊C8—431no—
1204C4⋊C8—431no—
1205C4⋊C8—431no—
1206C4⋊C8—431no—
1207C4⋊C8—431no—
1208C4⋊C8—431no—
1209C4⋊C8—431no—
1210C4⋊C8—431no—
1211C4⋊C8—431no—
1212C4⋊C8C22×D4311yescharacteristic
1213C4⋊C8C22×D4311yescharacteristic
1214#103—431no—
1215#103—431no—
1216#103—431no—
1217#103—431no—
1218#103—431no—
1219#103—431no—
1220#103—431no—
1221#103—431no—
1222#103—431no—
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103C22×D4311yescharacteristic
1235#103C22×D4311yescharacteristic
1236#103C22×D4311yescharacteristic
1237#103C22×D4311yescharacteristic
1238#103C22×D4311yescharacteristic
1239#103C22×D4311yescharacteristic
1240#103C22×D4311yescharacteristic
1241#103C22×D4311yescharacteristic
1242#102—431no—
1243#102—431no—
1244#102—431no—
1245#102—431no—
1246C22⋊C8—431no—
1247C22⋊C8—431no—
1248C22⋊C8C22×D4311yescharacteristic
1249C22⋊C8C22×D4311yescharacteristic
1250#97—431no—
1251#97—431no—
1252#97—431no—
1253#97C22×D4311yescharacteristic
1254C4×C8—431no—
1255C4×C8—431no—
1256C4×C8—431no—
1257C4×C8—431no—
1258C4×C8—431no—
1259C4×C8—431no—
1260C4×C8—431no—
1261C4×C8C22×D4311yescharacteristic
1262#41—862no—
1263#41—862no—
1264C2×Q8—21no—
1265C2×Q8—21no—
1266C2×Q8—431no—
1267C2×Q8—431no—
1268C2×Q8—431no—
1269C2×Q8—431no—
1270C2×Q8—431no—
1271C2×Q8—431no—
1272C2×Q8—431no—
1273C2×Q8—861no—
1274C2×Q8—861no—
1275C2×Q8—861no—
1276C2×Q8—861no—
1277C2×Q8—861no—
1278C2×Q8—861no—
1279C2×Q8—861no—
1280C2×Q8—861no—
1281C2×Q8—3442no—
1282C2×Q8—3442no—
1283C2×Q8—3442no—
1284C2×Q8C23×D4311yescharacteristic
1285C2×Q8C23×D4311yescharacteristic
1286C2×D4—431no—
1287C2×D4—861no—
1288C22×C4—21no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—861no—
1292C22×C4—861no—
1293C22×C4—861no—
1294C22×C4—861no—
1295C22×C4—861no—
1296C22×C4—861no—
1297C22×C4—861no—
1298C22×C4—861no—
1299C22×C4C23×D4311yescharacteristic
1300Q16—862no—
1301Q16—862no—
1302Q16—862no—
1303Q16—862no—
1304SD16—862no—
1305SD16—862no—
1306SD16—862no—
1307SD16—862no—
1308C2×C8—431no—
1309C2×C8—431no—
1310C2×C8—431no—
1311C2×C8—431no—
1312C2×C8C23×D4311yescharacteristic
1313C2×C8C23×D4311yescharacteristic
1314C2×C8C23×D4311yescharacteristic
1315C2×C8C23×D4311yescharacteristic
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—431no—
1332C4⋊C4—431no—
1333C4⋊C4—431no—
1334C4⋊C4—431no—
1335C4⋊C4—431no—
1336C4⋊C4—431no—
1337C4⋊C4—431no—
1338C4⋊C4—431no—
1339C4⋊C4—431no—
1340C4⋊C4—431no—
1341C4⋊C4—431no—
1342C4⋊C4—431no—
1343C4⋊C4—431no—
1344C4⋊C4—431no—
1345C4⋊C4—431no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—861no—
1350C4⋊C4—861no—
1351C4⋊C4—861no—
1352C4⋊C4—861no—
1353C4⋊C4—861no—
1354C4⋊C4—861no—
1355C4⋊C4—861no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1397C4⋊C4D4×D4311yescharacteristic
1398C4⋊C4C23×D4311yescharacteristic
1399C4⋊C4C23×D4311yescharacteristic
1400C4⋊C4C23×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C4⋊C4C23×D4311yescharacteristic
1403C4⋊C4C23×D4311yescharacteristic
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—431no—
1408C22⋊C4—431no—
1409C22⋊C4—861no—
1410C22⋊C4—861no—
1411C22⋊C4—861no—
1412C22⋊C4—861no—
1413C22⋊C4—861no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4D4×D4311yescharacteristic
1418C22⋊C4D4×D4311yescharacteristic
1419C42—21no—
1420C42—21no—
1421C42—21no—
1422C42—431no—
1423C42—431no—
1424C42—431no—
1425C42—431no—
1426C42—431no—
1427C42—431no—
1428C42—861no—
1429C42—861no—
1430C42—861no—
1431C42—861no—
1432C42—861no—
1433C42—861no—
1434C42—861no—
1435C42—861no—
1436C42—861no—
1437C42—861no—
1438C42—861no—
1439C42—861no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42C23×D4311yescharacteristic
1445C42C23×D4311yescharacteristic
1446C23—861no—
1447C23C2×D4×D4311yescharacteristic
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—81no—
1453Q8—81no—
1454Q8—432no—
1455Q8—862no—
1456Q8—862no—
1457Q8—862no—
1458Q8—862no—
1459Q8—861no—
1460Q8—861no—
1461Q8—861no—
1462Q8—861no—
1463Q8—861no—
1464Q8—3441no—
1465Q8—3441no—
1466Q8—3441no—
1467Q8—3441no—
1468Q8—1722no—
1469Q8—1722no—
1470Q8—1722no—
1471Q8—1722no—
1472D4—432no—
1473D4—864no—
1474D4—861no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—81no—
1486C2×C4—431no—
1487C2×C4—431no—
1488C2×C4—431no—
1489C2×C4—431no—
1490C2×C4—431no—
1491C2×C4—431no—
1492C2×C4—431no—
1493C2×C4—431no—
1494C2×C4—864no—
1495C2×C4—862no—
1496C2×C4—862no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—3441no—
1505C2×C4—3441no—
1506C2×C4—3441no—
1507C2×C4—3441no—
1508C2×C4—3441no—
1509C2×C4—1722no—
1510C2×C4—1722no—
1511C2×C4C2×D4×D4311yescharacteristic
1512C2×C4C2×D4×D4311yescharacteristic
1513C2×C4C2×D4×D4311yescharacteristic
1514C2×C4C2×D4×D4311yescharacteristic
1515C2×C4C2×D4×D4311yescharacteristic
1516C2×C4C24×D4311yescharacteristic
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—861no—
1522C8—861no—
1523C8—861no—
1524C8—861no—
1525C22—21no—
1526C22—21no—
1527C22—21no—
1528C22—862no—
1529C22—1721no—
1530C22—1721no—
1531C22C22×D4×D4311yescharacteristic
1532C4—21no—
1533C4—21no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—432no—
1546C4—432no—
1547C4—861no—
1548C4—861no—
1549C4—861no—
1550C4—861no—
1551C4—861no—
1552C4—861no—
1553C4—862no—
1554C4—1721no—
1555C4—1721no—
1556C4—1721no—
1557C4—1721no—
1558C4—1721no—
1559C4—1721no—
1560C42−1+4×D4311yescharacteristic
1561C42−1+4×D4311yescharacteristic
1562C2—41no—
1563C2—1722no—
1564C2#1914824411yescharacteristic
1565C2#577×D4311yescharacteristic
1566C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3242C2
socleC22×C43C23×D4
prime radicalC2×#10621898C23
hypercenter#3242D43
hypocenterC43#61869
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
1. #19149088C2semidirect
3. #19147524C2semidirect
4. #19147522C2semidirect
5. #19147519C2semidirect
6. #19147513C2semidirect
7. #19147483C2semidirect
8. #19147481C2semidirect
9. #19147473C2semidirect
10. #19147467C2semidirect
11. #19147401C2semidirect
12. #19147395C2semidirect
13. #19147379C2semidirect
14. #19147373C2semidirect
15. #19147272C2semidirect
16. #19147270C2semidirect
17. #19147236C2semidirect
18. #19147234C2semidirect
19. #19145869C2semidirect
20. #19145863C2semidirect
21. #19145861C2semidirect
22. #19145744C2semidirect
23. #19145737C2semidirect
30. #19143694C2semidirect
31. C43×#3242C2semidirect
800. #3242D43semidirect
986. C43#61869semidirect

Maximal subgroups

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

subgroupindex
#191490882
#191484102
#191475242
#191475222
#191475192
#191475132
#191474832
#191474812
#191474732
#191474672
#191474012
#191473952
#191473792
#191473732
#191472722
#191472702
#191472362
#191472342
#191458692
#191458632
#191458612
#191457442
#191457372
#191448122
#191448112
#191448042
#191448032
#191446612
#191436942
C43×#32422
#6186943