Finite Group Databasebeta

← #25987311

Subgroups — #25987311

Order 11008.

1662 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149065C211yesmaximal, characteristic
2#19148402C211yesmaximal, characteristic, complemented
3#19147536C211yesmaximal, characteristic, complemented
4#19147534C211yesmaximal, characteristic, complemented
5#19147522C211yesmaximal, characteristic, complemented
6#19147511C211yesmaximal, characteristic, complemented
7#19147486C211yesmaximal, characteristic, complemented
8#19147472C211yesmaximal, characteristic, complemented
9#19147465C211yesmaximal, characteristic, complemented
10SD16×Dic86C211yesmaximal, characteristic, complemented
11#19147404C211yesmaximal, characteristic, complemented
12#19147369C211yesmaximal, characteristic, complemented
13#19147357C211yesmaximal, characteristic, complemented
14#19147319C211yesmaximal, characteristic, complemented
15#19147288C211yesmaximal, characteristic, complemented
16#19147286C211yesmaximal, characteristic, complemented
17#19147263C211yesmaximal, characteristic, complemented
18#19145898C211yesmaximal, characteristic, complemented
19#19145886C211yesmaximal, characteristic, complemented
20#19145845C211yesmaximal, characteristic, complemented
21#19145841C211yesmaximal, characteristic, complemented
22#19145769C211yesmaximal, characteristic, complemented
23#19145730C211yesmaximal, characteristic, complemented
24#19144884C211yesmaximal, characteristic, complemented
25#19144883C211yesmaximal, characteristic, complemented
26#19144830C211yesmaximal, characteristic, complemented
27#19144823C211yesmaximal, characteristic, complemented
28#19144674C211yesmaximal, characteristic, complemented
29#19144624C211yesmaximal, characteristic, complemented
30#19143695C211yesmaximal, characteristic, complemented
31C43×#3365C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583631C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic
37#14583629—21no—
38#14583629C2211yescharacteristic
39#14583627—21no—
40#14583627C2211yescharacteristic
41#14583626—21no—
42#14583626—21no—
43#14583626C2211yescharacteristic
44#14583626C2211yescharacteristic
45#14583625C2211yescharacteristic
46#14583625C2211yescharacteristic
47#14583625C2211yescharacteristic
48#14583609C2211yescharacteristic
49#14583608C2211yescharacteristic
50#14583569C2211yescharacteristic
51D4×Dic86C2211yescharacteristic
52#14583558—21no—
53#14583547—21no—
54#14583529—21no—
55#14583529C2211yescharacteristic
56#14583526—21no—
57#14583526C2211yescharacteristic
58#14583521C2211yescharacteristic
59#14583518C2211yescharacteristic
60#14583513—21no—
61#14583503C2211yescharacteristic
62#14583500C2211yescharacteristic
63#14583492—21no—
64#14583491—21no—
65#14583471—21no—
66#14583455—21no—
67#14583455C2211yescharacteristic
68#14583453—21no—
69#14583453C2211yescharacteristic
70#14583446C2211yescharacteristic
71#14583428C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583301C2211yescharacteristic
81#14583301C2211yescharacteristic
82#14583300C2211yescharacteristic
83#14583298C2211yescharacteristic
84#14583297C2211yescharacteristic
85#14583296C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583263C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583255C2211yescharacteristic
92#14583253C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583239C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583226C2211yescharacteristic
100#14583225C2211yescharacteristic
101#14583222C2211yescharacteristic
102#14583222C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic
105#14583219C2211yescharacteristic
106#14583216C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583209C2211yescharacteristic
109#14583207C2211yescharacteristic
110#14583207C2211yescharacteristic
111#14583206C2211yescharacteristic
112#14583206C2211yescharacteristic
113#14583206C2211yescharacteristic
114#14583204C2211yescharacteristic
115#14583204C2211yescharacteristic
116#14583201C2211yescharacteristic
117#14583201C2211yescharacteristic
118#14583200C2211yescharacteristic
119#14583200C2211yescharacteristic
120#14583199C2211yescharacteristic
121#14583197C2211yescharacteristic
122#14583196C2211yescharacteristic
123#14583196C2211yescharacteristic
124#14583195C2211yescharacteristic
125#14583193C2211yescharacteristic
126#14583192C2211yescharacteristic
127#14583189C2211yescharacteristic
128#14583187C2211yescharacteristic
129#14583187C2211yescharacteristic
130#14583187C2211yescharacteristic
131#14583186C2211yescharacteristic
132#14583184C2211yescharacteristic
133#14583183C2211yescharacteristic
134#14583182C2211yescharacteristic
135#14583182C2211yescharacteristic
136#14583182C2211yescharacteristic
137#14583182C2211yescharacteristic
138#14583180C2211yescharacteristic
139#14583177C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583124C2211yescharacteristic
142#14583123C2211yescharacteristic
143#14583118C2211yescharacteristic
144#14583118C2211yescharacteristic
145#14583098C2211yescharacteristic
146#14583098C2211yescharacteristic
147#14583097C2211yescharacteristic
148#14583097C2211yescharacteristic
149#14583096C2211yescharacteristic
150#14583053C2211yescharacteristic
151#14583039C2211yescharacteristic
152#14583036C2211yescharacteristic
153#14583036C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583004C2211yescharacteristic
162#14583003C2211yescharacteristic
163#14583000C2211yescharacteristic
164#14583000C2211yescharacteristic
165#14582999C2211yescharacteristic
166#14582997C2211yescharacteristic
167#14582997C2211yescharacteristic
168#14582996C2211yescharacteristic
169Q16×Dic43C2211yescharacteristic
170Q16×Dic43C2211yescharacteristic
171#14582991C2211yescharacteristic
172#14582990C2211yescharacteristic
173#14582990C2211yescharacteristic
174#14582990C2211yescharacteristic
175C4×#10621873C2211yescharacteristic
176C4×#10621873C2211yescharacteristic
177C4×#10621873C2211yescharacteristic
178SD16×Dic43C2211yescharacteristic
179SD16×Dic43C2211yescharacteristic
180C4×#10621884C2211yescharacteristic
181C4×#10621883C2211yescharacteristic
182#14582959C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582958C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#488C2211yescharacteristic
192C43×#486C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#460C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621900—21no—
205C22×Dic86—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212#13063325—21no—
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324D411yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323—21no—
232#13063323—21no—
233#13063323—21no—
234#13063323—21no—
235#13063323D411yescharacteristic
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317—21no—
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315D411yescharacteristic
263#13063315D411yescharacteristic
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063310—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063306—21no—
280#13063306—21no—
281#13063305—21no—
282#13063305D411yescharacteristic
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#13063303—21no—
292#13063303D411yescharacteristic
293#13063303D411yescharacteristic
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301D411yescharacteristic
302#13063301C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351C4×C22⋊D43—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063283—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063282C2311yescharacteristic
363#13063281—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C42×D43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440#127×C43C2311yescharacteristic
441#125×C43—21no—
442#125×C43—21no—
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498Q8×D43—22no—
499Q8×D43—22no—
500#10621900—82no—
501#10621898—82no—
502C2×D172—21no—
503C2×D172C2411yescharacteristic
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2×D411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—82no—
522C2×Dic86C2×D411yescharacteristic
523C2×Dic86C2×D411yescharacteristic
524C2×Dic86C2×D411yescharacteristic
525C2×Dic86C2411yescharacteristic
526Q16×C43—22no—
527SD16×C43—22no—
528SD16×C43—22no—
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
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×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43C2×D411yescharacteristic
543C4⋊C4×C43C2×D411yescharacteristic
544C4⋊C4×C43C2×D411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43—21no—
558C42×C43—21no—
559C42×C43C2411yescharacteristic
560C42×C43C2411yescharacteristic
561C42×C43C2411yescharacteristic
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568#10621885—22no—
569#10621884—22no—
570#10621883—22no—
571#10621883—22no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4C2×D411yescharacteristic
582(C2×D43)⋊C4C2×D411yescharacteristic
583(C2×D43)⋊C4C2×D411yescharacteristic
584(C2×D43)⋊C4C2×D411yescharacteristic
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43C2×D411yescharacteristic
596C4⋊Dic43C2×D411yescharacteristic
597C4⋊Dic43C2×D411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600C4⋊Dic43C2411yescharacteristic
601C4⋊Dic43C2411yescharacteristic
602C4⋊Dic43C2411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661#10621873—22no—
662C23×C43—21no—
663C23×C43—21no—
664C22×D43—21no—
665C22×D43C22×D411yescharacteristic
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C43—21no—
669Q8×C43—41no—
670Q8×C43—81no—
671Q8×C432−1+412yes—
672D4×C43—21no—
673D4×C43—21no—
674D4×C43—21no—
675D4×C43—21no—
676D4×C43—81no—
677D4×C43—81no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—81no—
685C2×C4×C43—81no—
686C2×C4×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—42no—
694C22⋊D43—81no—
695C22⋊D43—81no—
696C22⋊D43—81no—
697C22⋊D43—81no—
698C22⋊D43—81no—
699C2×Dic43—21no—
700C2×Dic43—21no—
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×Dic43—81no—
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—81no—
720C4×D43—24no—
721C4×D43—21no—
722C4×D43—21no—
723C4×D43—22no—
724C4×D43—41no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729Dic86—24no—
730Dic86—21no—
731Dic86—22no—
732Dic86—22no—
733Dic86—41no—
734Dic86—42no—
735Dic86—42no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742Dic862−1+412yes—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C8×C43—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750C43⋊C8—21no—
751#61865—431nomaximal, Sylow
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43C23×D411yescharacteristic
759C2×D43—21no—
760C2×D43—21no—
761C2×D43—21no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C4×C43—21no—
766C4×C43—21no—
767C4×C43—21no—
768C4×C43—22no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43—21no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43C2×2−1+411yescharacteristic
778C4×C43C2×2−1+411yescharacteristic
779Dic43—21no—
780Dic43—21no—
781Dic43—21no—
782Dic43—21no—
783Dic43—22no—
784Dic43—21no—
785Dic43—21no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43#57712yes—
793#3554—431no—
794#3502—431no—
795#3388—431no—
796#3388—431no—
797#3387—431no—
798#3386—431no—
799#3383—431no—
800#3381—431no—
801#3381—431no—
802Q8×SD16—431no—
803#3375—431no—
804#3371—431no—
805#3371—431no—
806#3368—431no—
807#3365—431no—
808#3365—431no—
809#3365D4311yescharacteristic, complemented
810#3362—431no—
811#3244—431no—
812#3244—431no—
813#3241—431no—
814#3241—431no—
815#3233—431no—
816#3228—431no—
817#3126—431no—
818#3126—431no—
819#3121—431no—
820#3121—431no—
821#3108—431no—
822#3103—431no—
823#2986—431no—
824C2×C43—81no—
825C2×C43—81no—
826C2×C43#348611yescharacteristic
827C2×C43C2×#57711yescharacteristic
828C2×C43#358411yescharacteristic
829D43—41no—
830D43—81no—
831#562—861no—
832#562—861no—
833#559—431no—
834#559—431no—
835#559C2×D4311yescharacteristic
836Q82—431no—
837Q82—431no—
838Q82—861no—
839#557—431no—
840#557—431no—
841#557—431no—
842#557—431no—
843#557—431no—
844#557—431no—
845#557—861no—
846#557—861no—
847#557—861no—
848#557C2×D4311yescharacteristic
849#554—431no—
850#554—431no—
851#550—431no—
852D4×Q8—431no—
853#548—861no—
854#547—861no—
855#544—431no—
856#544—431no—
857#544—861no—
858#544—861no—
859#542—431no—
860#542—431no—
861#542—861no—
862#540—431no—
863#540—431no—
864#539—861no—
865#539—861no—
866#536—861no—
867#533—431no—
868#533—431no—
869#533—861no—
870#533—861no—
871#532—431no—
872#529—431no—
873#519—431no—
874#519—431no—
875C2×C4×Q8—431no—
876#501—431no—
877#501—431no—
878#501—431no—
879#501—431no—
880#500—431no—
881#499—431no—
882#499—431no—
883#499—431no—
884#499—431no—
885#498—431no—
886#498—431no—
887#498—431no—
888#490—431no—
889#490—431no—
890#489—431no—
891#489—431no—
892#488—431no—
893#488—431no—
894#488C2×D4311yescharacteristic
895#488C2×D4311yescharacteristic
896#486—431no—
897#486—431no—
898#486—431no—
899#486C2×D4311yescharacteristic
900#485—431no—
901#485—431no—
902#483—431no—
903#482—431no—
904#482—431no—
905#482—431no—
906#482—431no—
907#482—431no—
908#482—431no—
909#481—431no—
910#481—431no—
911#480—431no—
912#479—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479—431no—
920#478—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478—431no—
928#478C2×D4311yescharacteristic
929#478C2×D4311yescharacteristic
930#477—431no—
931#477—431no—
932#477—431no—
933#476—431no—
934#476—431no—
935#476—431no—
936#476—431no—
937#476—431no—
938#475—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#475—431no—
943#475—431no—
944#475C2×D4311yescharacteristic
945#474—431no—
946#474—431no—
947#474—431no—
948#464—431no—
949#464—431no—
950#464—431no—
951#464—431no—
952#464C2×D4311yescharacteristic
953#464C2×D4311yescharacteristic
954#460—431no—
955#460—431no—
956#460—431no—
957#460—431no—
958#460—431no—
959#460C2×D4311yescharacteristic
960#451—431no—
961#448—431no—
962#448—431no—
963#448—431no—
964#446—431no—
965#446—431no—
966#446—431no—
967#446—431no—
968C8×Q8—431no—
969C8×Q8—431no—
970C8×Q8—431no—
971C8×Q8C2×D4311yescharacteristic
972#441—431no—
973#441—431no—
974#440—431no—
975#440—431no—
976#440—431no—
977#440—431no—
978#440—431no—
979#440—431no—
980C4×Q16—431no—
981C4×Q16—431no—
982C4×Q16—431no—
983C4×Q16C2×D4311yescharacteristic
984C4×SD16—431no—
985C4×SD16—431no—
986C4×SD16—431no—
987C4×SD16—431no—
988C4×SD16—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993C4×SD16—431no—
994C4×SD16C2×D4311yescharacteristic
995C4×SD16C2×D4311yescharacteristic
996#433—431no—
997#433—431no—
998#433—431no—
999#433—431no—
1000#431—431no—
1001#431—431no—
1002C43#6186511yescharacteristic, complemented, Sylow
1003C2×#41—861no—
1004C2×#41—861no—
1005C22×Q8—431no—
1006C22×Q8—861no—
1007C2×Q16—431no—
1008C2×Q16C22×D4311yescharacteristic
1009C2×SD16—431no—
1010C2×SD16—431no—
1011C2×SD16—431no—
1012C2×SD16—431no—
1013C2×SD16C22×D4311yescharacteristic
1014C2×SD16C22×D4311yescharacteristic
1015C4⋊Q8—21no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—431no—
1021C4⋊Q8—431no—
1022C4⋊Q8—431no—
1023C4⋊Q8—431no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1041#127—431no—
1042#127—431no—
1043#127C22×D4311yescharacteristic
1044#126—861no—
1045#126—861no—
1046#126—861no—
1047#125—21no—
1048#125—21no—
1049#125—431no—
1050#125—431no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
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#125C22×D4311yescharacteristic
1073#125C22×D4311yescharacteristic
1074#124—21no—
1075#124—431no—
1076#124—861no—
1077#124—861no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124C22×D4311yescharacteristic
1082#124C22×D4311yescharacteristic
1083#123—21no—
1084#123—21no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096C22⋊Q8—431no—
1097C22⋊Q8—431no—
1098C22⋊Q8—431no—
1099C22⋊Q8—431no—
1100C22⋊Q8—431no—
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⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118#121—431no—
1119#121—431no—
1120#121—431no—
1121#121—861no—
1122#121—861no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129C4×Q8—21no—
1130C4×Q8—431no—
1131C4×Q8—431no—
1132C4×Q8—431no—
1133C4×Q8—431no—
1134C4×Q8—431no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8C22×D4311yescharacteristic
1161C4×Q8C22×D4311yescharacteristic
1162C4×Q8C22×D4311yescharacteristic
1163C4×Q8C22×D4311yescharacteristic
1164C4×Q8C22×D4311yescharacteristic
1165C4×D4—21no—
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×D4C22×D4311yescharacteristic
1178C4×D4C22×D4311yescharacteristic
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—861no—
1184#117—861no—
1185#117—861no—
1186#117—861no—
1187#117—861no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4—861no—
1192C2×C42—431no—
1193C2×C42—861no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107C22×D4311yescharacteristic
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106C22×D4311yescharacteristic
1217#106C22×D4311yescharacteristic
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8—431no—
1224C4⋊C8—431no—
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8C22×D4311yescharacteristic
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103C22×D4311yescharacteristic
1241#103C22×D4311yescharacteristic
1242#103C22×D4311yescharacteristic
1243#103C22×D4311yescharacteristic
1244#102—431no—
1245#102—431no—
1246#102—431no—
1247#102—431no—
1248#102—431no—
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102C22×D4311yescharacteristic
1257#102C22×D4311yescharacteristic
1258#102C22×D4311yescharacteristic
1259#102C22×D4311yescharacteristic
1260#102C22×D4311yescharacteristic
1261#102C22×D4311yescharacteristic
1262C22⋊C8—431no—
1263C22⋊C8—431no—
1264C22⋊C8—431no—
1265C22⋊C8—431no—
1266#97—431no—
1267#97—431no—
1268#97—431no—
1269#97—431no—
1270C4×C8—431no—
1271C4×C8—431no—
1272C4×C8—431no—
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8C22×D4311yescharacteristic
1276C4×C8C22×D4311yescharacteristic
1277C4×C8C22×D4311yescharacteristic
1278#41—3442no—
1279#41—3442no—
1280C2×Q8—21no—
1281C2×Q8—431no—
1282C2×Q8—431no—
1283C2×Q8—431no—
1284C2×Q8—431no—
1285C2×Q8—861no—
1286C2×Q8—861no—
1287C2×Q8—861no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—862no—
1293C2×Q8—862no—
1294C2×Q8—861no—
1295C2×Q8—861no—
1296C2×Q8—3442no—
1297C2×Q8D4×D4311yescharacteristic
1298C2×Q8C23×D4311yescharacteristic
1299C2×Q8C23×D4311yescharacteristic
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—431no—
1303C2×D4—861no—
1304C2×D4—861no—
1305C2×D4—861no—
1306C2×D4—861no—
1307C2×D4—861no—
1308C2×D4—861no—
1309C2×D4—861no—
1310C2×D4C23×D4311yescharacteristic
1311C2×D4C23×D4311yescharacteristic
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—431no—
1315C22×C4—431no—
1316C22×C4—431no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—861no—
1325C22×C4—861no—
1326Q16—22no—
1327Q16—862no—
1328SD16—22no—
1329SD16—22no—
1330SD16—862no—
1331SD16—862no—
1332SD16—862no—
1333SD16—862no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—431no—
1337C2×C8—431no—
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C2×C8C23×D4311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
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⋊C4—861no—
1405C4⋊C4D4×D4311yescharacteristic
1406C4⋊C4D4×D4311yescharacteristic
1407C4⋊C4D4×D4311yescharacteristic
1408C4⋊C4C23×D4311yescharacteristic
1409C4⋊C4C23×D4311yescharacteristic
1410C4⋊C4C23×D4311yescharacteristic
1411C4⋊C4C23×D4311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—431no—
1419C22⋊C4—431no—
1420C22⋊C4—431no—
1421C22⋊C4—431no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C42—21no—
1438C42—21no—
1439C42—21no—
1440C42—21no—
1441C42—431no—
1442C42—431no—
1443C42—431no—
1444C42—431no—
1445C42—431no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42—861no—
1459C42C23×D4311yescharacteristic
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—431no—
1465C23—861no—
1466Q8—21no—
1467Q8—21no—
1468Q8—21no—
1469Q8—41no—
1470Q8—81no—
1471Q8—432no—
1472Q8—862no—
1473Q8—862no—
1474Q8—864no—
1475Q8—861no—
1476Q8—3441no—
1477Q8—3441no—
1478Q8—3441no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—1721no—
1483Q8—1722no—
1484Q8—1722no—
1485Q8#1306337212yes—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—81no—
1491D4—81no—
1492D4—861no—
1493D4—861no—
1494D4—3441no—
1495D4—3441no—
1496D4—3441no—
1497D4—3441no—
1498D4—3441no—
1499D4—3441no—
1500D4—1722no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—431no—
1510C2×C4—431no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—431no—
1516C2×C4—862no—
1517C2×C4—864no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—3441no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—3441no—
1534C2×C4—1721no—
1535C2×C4—1722no—
1536C2×C4C2×D4×D4311yescharacteristic
1537C2×C4C2×D4×D4311yescharacteristic
1538C2×C4C2×D4×D4311yescharacteristic
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C24×D4311yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—861no—
1548C8—861no—
1549C8—861no—
1550C8—861no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—861no—
1558C22—861no—
1559C22—861no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22C22×D4×D4311yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—432no—
1577C4—861no—
1578C4—861no—
1579C4—861no—
1580C4—861no—
1581C4—861no—
1582C4—861no—
1583C4—862no—
1584C4—1721no—
1585C4—1721no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C42−1+4×D4311yescharacteristic
1591C4C2×#1306337211yescharacteristic
1592C2—81no—
1593C2—81no—
1594C2—3441no—
1595C2—1721no—
1596C2#1914824111yescharacteristic
1597C2#577×D4311yescharacteristic
1598C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3365C2
socleC22×C43C23×D4
prime radical#19149065C2
hypercenter#3365D43
hypocenterC43#61865
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3365

Complements

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

NH ≅ G/Ntype
2. #19148402C2semidirect
3. #19147536C2semidirect
4. #19147534C2semidirect
5. #19147522C2semidirect
6. #19147511C2semidirect
7. #19147486C2semidirect
8. #19147472C2semidirect
9. #19147465C2semidirect
10. SD16×Dic86C2semidirect
11. #19147404C2semidirect
12. #19147369C2semidirect
13. #19147357C2semidirect
14. #19147319C2semidirect
15. #19147288C2semidirect
16. #19147286C2semidirect
17. #19147263C2semidirect
18. #19145898C2semidirect
19. #19145886C2semidirect
20. #19145845C2semidirect
21. #19145841C2semidirect
22. #19145769C2semidirect
23. #19145730C2semidirect
24. #19144884C2semidirect
25. #19144883C2semidirect
26. #19144830C2semidirect
27. #19144823C2semidirect
28. #19144674C2semidirect
29. #19144624C2semidirect
30. #19143695C2semidirect
31. C43×#3365C2semidirect
809. #3365D43semidirect
1002. C43#61865semidirect

Maximal subgroups

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

subgroupindex
#191490652
#191484022
#191475362
#191475342
#191475222
#191475112
#191474862
#191474722
#191474652
SD16×Dic862
#191474042
#191473692
#191473572
#191473192
#191472882
#191472862
#191472632
#191458982
#191458862
#191458452
#191458412
#191457692
#191457302
#191448842
#191448832
#191448302
#191448232
#191446742
#191446242
#191436952
C43×#33652
#6186543