Finite Group Databasebeta

← #25977425

Subgroups — #25977425

Order 11008.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148406C211yesmaximal, characteristic
2#19148402C211yesmaximal, characteristic, complemented
3#19147564C211yesmaximal, characteristic, complemented
4#19147559C211yesmaximal, characteristic, complemented
5#19147558C211yesmaximal, characteristic, complemented
6#19147557C211yesmaximal, characteristic, complemented
7#19147524C211yesmaximal, characteristic, complemented
8#19147522C211yesmaximal, characteristic, complemented
9#19147517C211yesmaximal, characteristic, complemented
10#19147516C211yesmaximal, characteristic, complemented
11#19147511C211yesmaximal, characteristic, complemented
12#19147506C211yesmaximal, characteristic, complemented
13#19147500C211yesmaximal, characteristic, complemented
14#19147478C211yesmaximal, characteristic, complemented
15#19147476C211yesmaximal, characteristic, complemented
16#19147471C211yesmaximal, characteristic, complemented
17#19147465C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19145130C211yesmaximal, characteristic, complemented
20#19145128C211yesmaximal, characteristic, complemented
21#19144447C211yesmaximal, characteristic
22#19144441C211yesmaximal, characteristic
23#19144432C211yesmaximal, characteristic, complemented
24#19144430C211yesmaximal, characteristic, complemented
25#19144380C211yesmaximal, characteristic
26#477×D43C211yesmaximal, characteristic, complemented
27#19143540C211yesmaximal, characteristic, complemented
28#19143435C211yesmaximal, characteristic
29#19143431C211yesmaximal, characteristic
30#19143417C211yesmaximal, characteristic
31C43×#3386C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33Q8×Dic86C2211yescharacteristic
34#14583629—21no—
35#14583629C2211yescharacteristic
36#14583629C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583627—21no—
39#14583627C2211yescharacteristic
40#14583627C2211yescharacteristic
41#14583626—21no—
42#14583626—21no—
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583625C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583624C2211yescharacteristic
48#14583608C2211yescharacteristic
49#14583608C2211yescharacteristic
50#14583603—21no—
51#14583603—21no—
52D4×Dic86C2211yescharacteristic
53Q8×C22⋊D43—21no—
54#14583562—21no—
55#14583529—21no—
56#14583529C2211yescharacteristic
57#14583528—21no—
58#14583528—21no—
59#14583526—21no—
60#14583526C2211yescharacteristic
61#14583526C2211yescharacteristic
62#14583526C2211yescharacteristic
63#14583455—21no—
64#14583455C2211yescharacteristic
65#14583453—21no—
66#14583453C2211yescharacteristic
67#14583451—21no—
68C2×#13063323—21no—
69C4⋊Q8×D43C2211yescharacteristic
70#14583378C2211yescharacteristic
71#14583378C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic
76#14583309C2211yescharacteristic
77#14583308C2211yescharacteristic
78#14583308C2211yescharacteristic
79#14583307C2211yescharacteristic
80#14583307C2211yescharacteristic
81#14583307C2211yescharacteristic
82#14583306C2211yescharacteristic
83#14583305C2211yescharacteristic
84#14583305C2211yescharacteristic
85#14583305C2211yescharacteristic
86#14583303C2211yescharacteristic
87#14583303C2211yescharacteristic
88#14583303C2211yescharacteristic
89#14583303C2211yescharacteristic
90#14583302C2211yescharacteristic
91#14583301C2211yescharacteristic
92#14583300C2211yescharacteristic
93#14583299C2211yescharacteristic
94#14583298C2211yescharacteristic
95#14583296C2211yescharacteristic
96#14583296C2211yescharacteristic
97#14583209C2211yescharacteristic
98#14583209C2211yescharacteristic
99#14583208C2211yescharacteristic
100#14583207C2211yescharacteristic
101#14583207C2211yescharacteristic
102#14583207C2211yescharacteristic
103#14583207C2211yescharacteristic
104#14583206C2211yescharacteristic
105#14583206C2211yescharacteristic
106#14583205C2211yescharacteristic
107#14583205C2211yescharacteristic
108#14583204C2211yescharacteristic
109#14583203C2211yescharacteristic
110#14583203C2211yescharacteristic
111#14583201C2211yescharacteristic
112#14583199C2211yescharacteristic
113#14583199C2211yescharacteristic
114#14583197C2211yescharacteristic
115#14583195C2211yescharacteristic
116#14583195C2211yescharacteristic
117#14583194C2211yescharacteristic
118#14583193C2211yescharacteristic
119#14583193C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583193C2211yescharacteristic
122#14583193C2211yescharacteristic
123#14583193C2211yescharacteristic
124#14583192C2211yescharacteristic
125#14583192C2211yescharacteristic
126#14583192C2211yescharacteristic
127#14583191C2211yescharacteristic
128#14583191C2211yescharacteristic
129#14583191C2211yescharacteristic
130#14583187C2211yescharacteristic
131#14583183C2211yescharacteristic
132#14583183C2211yescharacteristic
133#14583182C2211yescharacteristic
134#14583181C2211yescharacteristic
135#14583179C2211yescharacteristic
136#14583177C2211yescharacteristic
137#14583177C2211yescharacteristic
138#14583177C2211yescharacteristic
139#14583030C2211yescharacteristic
140#14583028C2211yescharacteristic
141#14583028C2211yescharacteristic
142#14583027C2211yescharacteristic
143#14583027C2211yescharacteristic
144C8×Dic86C2211yescharacteristic
145#14583023C2211yescharacteristic
146#14583007C2211yescharacteristic
147#14583007C2211yescharacteristic
148#14583005C2211yescharacteristic
149#14583004C2211yescharacteristic
150#14583004C2211yescharacteristic
151#14583003C2211yescharacteristic
152#14583000C2211yescharacteristic
153#14582999C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582996C2211yescharacteristic
156C4×Dic172C2211yescharacteristic
157#14582993C2211yescharacteristic
158#14582993C2211yescharacteristic
159C4×#10621885C2211yescharacteristic
160#14582991C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582990C2211yescharacteristic
163#14582990C2211yescharacteristic
164SD16×Dic43C2211yescharacteristic
165SD16×Dic43C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582940C2211yescharacteristic
170#14582938C2211yescharacteristic
171#14582938C2211yescharacteristic
172#14582936C2211yescharacteristic
173#14582934C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#557C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#501C2211yescharacteristic
192C43×#500C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic
196C43×#477C2211yescharacteristic
197C43×#475C2211yescharacteristic
198C43×#474C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C22×Dic86—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43C2311yescharacteristic
207#13063354Q818yescomplemented
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×C8×D43C2311yescharacteristic
214C2×C8×D43C2311yescharacteristic
215#13063325—21no—
216#13063325C2311yescharacteristic
217#13063325C2311yescharacteristic
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#13063324—21no—
228#13063324—21no—
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323—21no—
239#13063323—21no—
240#13063323—21no—
241#13063323—21no—
242#13063323—21no—
243#13063323—21no—
244#13063323—21no—
245#13063323—21no—
246#13063323—21no—
247#13063323—21no—
248#13063323—21no—
249#13063323—21no—
250#13063323—21no—
251#13063323D411yescharacteristic
252#13063317—21no—
253#13063317—21no—
254#13063317C2311yescharacteristic
255#13063317C2311yescharacteristic
256#13063317C2311yescharacteristic
257#13063317C2311yescharacteristic
258#13063316—21no—
259#13063316—21no—
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315D411yescharacteristic
279#13063315D411yescharacteristic
280#13063305—21no—
281#13063305D411yescharacteristic
282#13063304—21no—
283#13063304—21no—
284#13063304—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303D411yescharacteristic
292#13063303D411yescharacteristic
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301D411yescharacteristic
303Q8×Dic43—21no—
304Q8×Dic43C2311yescharacteristic
305Q8×Dic43C2311yescharacteristic
306Q8×Dic43C2311yescharacteristic
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361C2×Dic43⋊C4—21no—
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C2×C4×Dic43—21no—
371C42×D43—21no—
372C42×D43C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063236C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C22×Q8×C43—21no—
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—82no—
484C2×Q8×C43C2×D411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495Q8×D43—22no—
496Q8×D43—82no—
497Q8×D43C2×Q814yescomplemented
498#10621900—22no—
499#10621900C2×Q814yes—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43C2×D411yescharacteristic
505C2×C4×D43C2×D411yescharacteristic
506C2×C4×D43C2411yescharacteristic
507C2×Dic86—21no—
508C2×Dic86—21no—
509C2×Dic86—21no—
510C2×Dic86—21no—
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×Dic86C2411yescharacteristic
523C2×Dic86C2411yescharacteristic
524SD16×C43C2×Q814yescomplemented
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2×D411yescharacteristic
542C4⋊C4×C43C2×D411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561#10621885C2×Q814yescomplemented
562#10621883C2×Q814yescomplemented
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4C2×D411yescharacteristic
567(C2×D43)⋊C4C2×D411yescharacteristic
568(C2×D43)⋊C4C2×D411yescharacteristic
569(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43—21no—
579C4⋊Dic43C2×D411yescharacteristic
580C4⋊Dic43C2×D411yescharacteristic
581C4⋊Dic43C2×D411yescharacteristic
582C4⋊Dic43C2411yescharacteristic
583C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
624Dic43⋊C4C2×D411yescharacteristic
625Dic43⋊C4C2×D411yescharacteristic
626Dic43⋊C4C2×D411yescharacteristic
627Dic43⋊C4C2×D411yescharacteristic
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660Dic172C2×Q814yescomplemented
661#10621872—22no—
662#10621872C2×Q814yescomplemented
663C8×D43—22no—
664C8×D43—22no—
665C23×C43—21no—
666C22×D43C22×D411yescharacteristic
667Q8×C43—21no—
668Q8×C43—41no—
669Q8×C43—42no—
670Q8×C43—81no—
671Q8×C43—81no—
672Q8×C43—81no—
673Q8×C43C22×Q812yes—
674D4×C43—21no—
675D4×C43C22×Q812yes—
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—42no—
684C2×C4×C43—81no—
685C2×C4×C43—81no—
686C2×C4×C43C22×D411yescharacteristic
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—24no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—24no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—42no—
704C2×Dic43—81no—
705C2×Dic43—81no—
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C4×D43—24no—
714C4×D43—22no—
715C4×D43—41no—
716C4×D43—81no—
717C4×D43—81no—
718C4×D43—81no—
719C4×D43C22×Q812yes—
720C4×D432−1+412yes—
721Dic86—21no—
722Dic86—21no—
723Dic86—24no—
724Dic86—22no—
725Dic86—22no—
726Dic86—41no—
727Dic86—42no—
728Dic86—42no—
729Dic86—81no—
730Dic86—81no—
731Dic86—81no—
732Dic86—81no—
733Dic86—81no—
734Dic86—81no—
735Dic86—81no—
736Dic86—81no—
737Dic86C22×Q812yes—
738Dic86C22×Q812yes—
739C8×C43—21no—
740C8×C43—21no—
741C8×C43—21no—
742C8×C43C22×Q812yes—
743C43⋊C8—21no—
744C43⋊C8—21no—
745C43⋊C8—21no—
746C43⋊C8C22×Q812yes—
747#61384—431nomaximal, Sylow
748C22×C43—22no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43C23×D411yescharacteristic
752C2×D43—21no—
753C2×D43—21no—
754C2×D43D4×Q812yes—
755C4×C43—21no—
756C4×C43—21no—
757C4×C43—21no—
758C4×C43—22no—
759C4×C43—21no—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43C23×Q811yescharacteristic
769C4×C43C2×2−1+411yescharacteristic
770Dic43—21no—
771Dic43—21no—
772Dic43—21no—
773Dic43—22no—
774Dic43—22no—
775Dic43—21no—
776Dic43—21no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43D4×Q812yes—
784Dic43#57812yes—
785#3503—431no—
786#3502—431no—
787#3390—431no—
788#3390—431no—
789#3390—431no—
790#3390—431no—
791#3387—431no—
792#3387—431no—
793#3386—431no—
794#3386—431no—
795#3386—431no—
796#3386D4311yescharacteristic, complemented
797#3385—431no—
798#3385—431no—
799Q8×Q16—431no—
800Q8×Q16—431no—
801#3381—431no—
802#3381—431no—
803#3165—431no—
804#3164—431no—
805#3164—431no—
806#3083—431no—
807#3083—431no—
808#3082—431no—
809#3082—431no—
810#3076—431no—
811C2×#477—431no—
812#2962—431no—
813#2947—431no—
814#2947—431no—
815C4×#137—431no—
816C2×C43—42no—
817C2×C43C2×D4×Q811yescharacteristic
818C2×C43C2×#57811yescharacteristic
819C2×C43#358511yescharacteristic
820D43—22no—
821C2×#137—431no—
822Q82—431no—
823Q82—431no—
824Q82—431no—
825Q82—431no—
826Q82—861no—
827#557—431no—
828#557—431no—
829#557—431no—
830#557—431no—
831#557—431no—
832#557—431no—
833#557—431no—
834#557—861no—
835#557—861no—
836#557—861no—
837#557C2×D4311yescharacteristic
838#554—431no—
839#554—431no—
840#554—861no—
841#554—861no—
842D4×Q8—431no—
843D4×Q8—861no—
844D4×Q8—861no—
845D4×Q8C2×D4311yescharacteristic
846#544—431no—
847#544—431no—
848#544—431no—
849#544—431no—
850#544—861no—
851#544—861no—
852#544—861no—
853#544—861no—
854#533—431no—
855#533—431no—
856#533—861no—
857#533—861no—
858#533—861no—
859C2×C4⋊Q8—431no—
860C2×C4⋊Q8—861no—
861#520—431no—
862#520—431no—
863#519—431no—
864#519—431no—
865C4×#41—431no—
866C2×C4×Q8—431no—
867#501—431no—
868#501—431no—
869#501—431no—
870#501—431no—
871#501—431no—
872#501—431no—
873#501—431no—
874#501—431no—
875#501—431no—
876#501—431no—
877#501C2×D4311yescharacteristic
878#501C2×D4311yescharacteristic
879#500—431no—
880#500—431no—
881#500—431no—
882#500—431no—
883#500—431no—
884#500C2×D4311yescharacteristic
885#499—431no—
886#499—431no—
887#499—431no—
888#499—431no—
889#498—431no—
890#498—431no—
891#479—431no—
892#479—431no—
893#479—431no—
894#479—431no—
895#479—431no—
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#478—431no—
906#478—431no—
907#478—431no—
908#478—431no—
909#478C2×D4311yescharacteristic
910#478C2×D4311yescharacteristic
911#477—431no—
912#477—431no—
913#477—431no—
914#477—431no—
915#477—431no—
916#477—431no—
917#477—431no—
918#477—431no—
919#477—431no—
920#477—431no—
921#477—431no—
922#477—431no—
923#477—431no—
924#477—431no—
925#477—431no—
926#477C2×D4311yescharacteristic
927#477C2×D4311yescharacteristic
928#476—431no—
929#475—431no—
930#475—431no—
931#475—431no—
932#475—431no—
933#475C2×D4311yescharacteristic
934#474—431no—
935#474—431no—
936#474—431no—
937#474—431no—
938#474C2×D4311yescharacteristic
939#446—431no—
940#446—431no—
941#446—431no—
942#446—431no—
943#446—431no—
944#446C2×D4311yescharacteristic
945C8×Q8—431no—
946C8×Q8—431no—
947#441—431no—
948#441—431no—
949#441—431no—
950#441—431no—
951#441—431no—
952#441—431no—
953#440—431no—
954#440—431no—
955#440—431no—
956#440—431no—
957#440C2×D4311yescharacteristic
958#440C2×D4311yescharacteristic
959C4×Q16—431no—
960C4×Q16—431no—
961C4×Q16—431no—
962C4×Q16—431no—
963C4×Q16—431no—
964C4×Q16—431no—
965C4×SD16—431no—
966C4×SD16—431no—
967C4×SD16—431no—
968C4×SD16—431no—
969C4×SD16—431no—
970C4×SD16C2×D4311yescharacteristic
971#428—431no—
972#428—431no—
973#428—431no—
974#428—431no—
975#428—431no—
976#427—431no—
977#427—431no—
978C2×#107—431no—
979C2×#107—431no—
980#424—431no—
981#424—431no—
982C2×C4⋊C8—431no—
983#419—431no—
984#417—431no—
985#416—431no—
986#416—431no—
987C2×#103—431no—
988C2×#103—431no—
989#405—431no—
990#405—431no—
991C4×M16—431no—
992C43#6138411yescharacteristic, complemented, Sylow
993C2×#41—431no—
994C22×Q8—21no—
995C22×Q8—431no—
996C22×Q8—861no—
997C22×Q8—861no—
998#137—438no—
999C2×Q16—431no—
1000C2×Q16—431no—
1001C2×SD16—431no—
1002C2×SD16C22×D4311yescharacteristic
1003C2×M16—431no—
1004C2×M16—431no—
1005C22×C8—431no—
1006C22×C8—431no—
1007C4⋊Q8—21no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—431no—
1015C4⋊Q8—431no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
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⋊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⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8C22×D4311yescharacteristic
1046C4⋊Q8C22×D4311yescharacteristic
1047C4⋊Q8C22×D4311yescharacteristic
1048C4⋊Q8C22×D4311yescharacteristic
1049#125—21no—
1050#125—21no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
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#125C22×D4311yescharacteristic
1080#125C22×D4311yescharacteristic
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
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—
1107C4×Q8—21no—
1108C4×Q8—431no—
1109C4×Q8—431no—
1110C4×Q8—431no—
1111C4×Q8—431no—
1112C4×Q8—431no—
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—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
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×Q8C22×D4311yescharacteristic
1146C4×Q8C22×D4311yescharacteristic
1147C4×Q8C22×D4311yescharacteristic
1148C4×Q8C22×D4311yescharacteristic
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4C22×D4311yescharacteristic
1159C4×D4C22×D4311yescharacteristic
1160C4×D4C22×D4311yescharacteristic
1161#117—431no—
1162#117—431no—
1163#117—431no—
1164#117—431no—
1165#117—431no—
1166#117—861no—
1167#117—861no—
1168#117—861no—
1169#117—861no—
1170#117—861no—
1171#117—861no—
1172#117—861no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—861no—
1177C2×C4⋊C4—861no—
1178C2×C4⋊C4—861no—
1179C2×C4⋊C4—861no—
1180C2×C4⋊C4—861no—
1181C2×C4⋊C4—861no—
1182C2×C42—431no—
1183C2×C42—861no—
1184C2×C42—861no—
1185#107—431no—
1186#107—431no—
1187#107—431no—
1188#107—431no—
1189#107—431no—
1190#107—431no—
1191#107—431no—
1192#107—431no—
1193#107—431no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107C22×D4311yescharacteristic
1202#107C22×D4311yescharacteristic
1203#107C22×D4311yescharacteristic
1204#107C22×D4311yescharacteristic
1205#107C22×D4311yescharacteristic
1206#107C22×D4311yescharacteristic
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106C22×D4311yescharacteristic
1219#106C22×D4311yescharacteristic
1220#106C22×D4311yescharacteristic
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8—431no—
1230C4⋊C8C22×D4311yescharacteristic
1231C4⋊C8C22×D4311yescharacteristic
1232C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103C22×D4311yescharacteristic
1249#103C22×D4311yescharacteristic
1250#103C22×D4311yescharacteristic
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102C22×D4311yescharacteristic
1255#102C22×D4311yescharacteristic
1256#102C22×D4311yescharacteristic
1257#97—431no—
1258#97—431no—
1259#97—431no—
1260#97—431no—
1261#97C22×D4311yescharacteristic
1262#97C22×D4311yescharacteristic
1263C4×C8—431no—
1264C4×C8—431no—
1265C4×C8—431no—
1266C4×C8—431no—
1267C4×C8—431no—
1268C4×C8C22×D4311yescharacteristic
1269#41—434no—
1270#41—862no—
1271C2×Q8—21no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—82no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—431no—
1279C2×Q8—434no—
1280C2×Q8—431no—
1281C2×Q8—431no—
1282C2×Q8—861no—
1283C2×Q8—861no—
1284C2×Q8—861no—
1285C2×Q8—861no—
1286C2×Q8—861no—
1287C2×Q8—861no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—862no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—3442no—
1295C2×Q8—3442no—
1296C2×Q8D4×D4311yescharacteristic
1297C2×Q8C23×D4311yescharacteristic
1298C2×D4—861no—
1299C2×D4C23×D4311yescharacteristic
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—431no—
1304C22×C4—431no—
1305C22×C4—431no—
1306C22×C4—861no—
1307C22×C4—861no—
1308C22×C4—861no—
1309C22×C4—861no—
1310C22×C4—861no—
1311C22×C4—861no—
1312C22×C4—861no—
1313C22×C4—861no—
1314Q16—434no—
1315Q16—434no—
1316SD16—434no—
1317SD16Q8×D4314yescomplemented
1318M16—434no—
1319M16—862no—
1320C2×C8—431no—
1321C2×C8—431no—
1322C2×C8—431no—
1323C2×C8—431no—
1324C2×C8—862no—
1325C2×C8—862no—
1326C2×C8C23×D4311yescharacteristic
1327C2×C8C23×D4311yescharacteristic
1328C2×C8C23×D4311yescharacteristic
1329C2×C8C23×D4311yescharacteristic
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
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—431no—
1350C4⋊C4—431no—
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—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⋊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⋊C4D4×D4311yescharacteristic
1407C4⋊C4C23×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C4⋊C4C23×D4311yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—431no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—431no—
1430C42—431no—
1431C42—431no—
1432C42—431no—
1433C42—431no—
1434C42—861no—
1435C42—861no—
1436C42—861no—
1437C42—861no—
1438C42—861no—
1439C42—861no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42C23×D4311yescharacteristic
1453C42C23×D4311yescharacteristic
1454C42C23×D4311yescharacteristic
1455C23—21no—
1456C23—431no—
1457Q8—21no—
1458Q8—41no—
1459Q8—42no—
1460Q8—81no—
1461Q8—81no—
1462Q8—81no—
1463Q8—432no—
1464Q8—432no—
1465Q8—864no—
1466Q8—862no—
1467Q8—862no—
1468Q8—861no—
1469Q8—861no—
1470Q8—3441no—
1471Q8—3441no—
1472Q8—3441no—
1473Q8—3441no—
1474Q8—3441no—
1475Q8—3441no—
1476Q8—3441no—
1477Q8—3441no—
1478Q8—1721no—
1479Q8—1722no—
1480Q8—1722no—
1481Q8C2×Q8×D4312yes—
1482D4—21no—
1483D4—864no—
1484D4C2×Q8×D4312yes—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—42no—
1493C2×C4—81no—
1494C2×C4—81no—
1495C2×C4—431no—
1496C2×C4—431no—
1497C2×C4—432no—
1498C2×C4—432no—
1499C2×C4—431no—
1500C2×C4—431no—
1501C2×C4—431no—
1502C2×C4—431no—
1503C2×C4—431no—
1504C2×C4—862no—
1505C2×C4—864no—
1506C2×C4—864no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—3441no—
1516C2×C4—3441no—
1517C2×C4—3441no—
1518C2×C4—3441no—
1519C2×C4—3441no—
1520C2×C4—1721no—
1521C2×C4—1722no—
1522C2×C4C2×D4×D4311yescharacteristic
1523C2×C4C2×D4×D4311yescharacteristic
1524C2×C4C2×D4×D4311yescharacteristic
1525C2×C4C2×D4×D4311yescharacteristic
1526C2×C4C2×D4×D4311yescharacteristic
1527C2×C4C2×D4×D4311yescharacteristic
1528C2×C4C24×D4311yescharacteristic
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—432no—
1533C8—861no—
1534C8—861no—
1535C8—861no—
1536C8C2×Q8×D4312yes—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—432no—
1541C22—861no—
1542C22—861no—
1543C22C22×D4×D4311yescharacteristic
1544C4—22no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—21no—
1549C4—21no—
1550C4—21no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—432no—
1558C4—432no—
1559C4—862no—
1560C4—862no—
1561C4—861no—
1562C4—861no—
1563C4—861no—
1564C4—861no—
1565C4—861no—
1566C4—1721no—
1567C4—1721no—
1568C4—1721no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4C22×Q8×D4311yescharacteristic
1573C42−1+4×D4311yescharacteristic
1574C2—42no—
1575C2—862no—
1576C2D4×Q8×D4311yescharacteristic
1577C2#578×D4311yescharacteristic
1578C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3386C2
socleC22×C43C23×D4
prime radicalC2×#10621900C23
hypercenter#3386D43
hypocenterC43#61384
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3386

Complements

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

NH ≅ G/Ntype
2. #19148402C2semidirect
3. #19147564C2semidirect
4. #19147559C2semidirect
5. #19147558C2semidirect
6. #19147557C2semidirect
7. #19147524C2semidirect
8. #19147522C2semidirect
9. #19147517C2semidirect
10. #19147516C2semidirect
11. #19147511C2semidirect
12. #19147506C2semidirect
13. #19147500C2semidirect
14. #19147478C2semidirect
15. #19147476C2semidirect
16. #19147471C2semidirect
17. #19147465C2semidirect
18. #19145140C2semidirect
19. #19145130C2semidirect
20. #19145128C2semidirect
23. #19144432C2semidirect
24. #19144430C2semidirect
26. #477×D43C2semidirect
27. #19143540C2semidirect
31. C43×#3386C2semidirect
207. #13063354Q8semidirect
497. Q8×D43C2×Q8semidirect
524. SD16×C43C2×Q8semidirect
561. #10621885C2×Q8semidirect
562. #10621883C2×Q8semidirect
660. Dic172C2×Q8semidirect
662. #10621872C2×Q8semidirect
796. #3386D43semidirect
992. C43#61384semidirect
1317. SD16Q8×D43semidirect

Maximal subgroups

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

subgroupindex
#191484062
#191484022
#191475642
#191475592
#191475582
#191475572
#191475242
#191475222
#191475172
#191475162
#191475112
#191475062
#191475002
#191474782
#191474762
#191474712
#191474652
#191451402
#191451302
#191451282
#191444472
#191444412
#191444322
#191444302
#191443802
#477×D432
#191435402
#191434352
#191434312
#191434172
C43×#33862
#6138443