Finite Group Databasebeta

← #36312990

Subgroups — #36312990

Order 21248.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921386C212yesmaximal, complemented
2#24921382C212yesmaximal, complemented
3#24921368C214yesmaximal, complemented
4#24921355C214yesmaximal, complemented
5#24921345C212yesmaximal, complemented
6#24921335C212yesmaximal, complemented
7#24921323C214yesmaximal, complemented
8#24921310C214yesmaximal, complemented
9#24921301C214yesmaximal, complemented
10#24921295C214yesmaximal, complemented
11#24921054C218yesmaximal, complemented
12#24921015C218yesmaximal, complemented
13#24920855C211yesmaximal, characteristic, complemented
14#24920853C211yesmaximal, characteristic, complemented
15#24920852C211yesmaximal, characteristic, complemented
16#24920793C212yesmaximal, complemented
17#24920756C212yesmaximal, complemented
18#24920755C212yesmaximal, complemented
19#533×D83C211yesmaximal, characteristic, complemented
20#532×D83C211yesmaximal, characteristic, complemented
21#24920662C212yesmaximal, complemented
22C2×#19128169C211yesmaximal, characteristic, complemented
23C83×#3455C211yesmaximal, characteristic, complemented
24C22×#13050590C2211yescharacteristic
25C2×#41×D83C2212yes—
26#19128435C2218yescomplemented
27#19128435C2218yescomplemented
28#19128433C2218yescomplemented
29#19128428C2218yescomplemented
30#19128422C2218yescomplemented
31#19128418C2218yescomplemented
32#19128418C2218yescomplemented
33#19128418C2218yescomplemented
34#19128413C2218yescomplemented
35#19128405C2218yescomplemented
36#19128404C2218yescomplemented
37#19128402C2218yescomplemented
38#19128402C2218yescomplemented
39#19128402C2218yescomplemented
40#19128398C2218yescomplemented
41#19128396C2218yescomplemented
42#19128396C2218yescomplemented
43#19128394C2218yescomplemented
44#19128388C2218yescomplemented
45#19128387C2218yescomplemented
46#19128383C2218yescomplemented
47#19128383C2218yescomplemented
48#19128381C2218yescomplemented
49#19128378C2218yescomplemented
50#19128376C2218yescomplemented
51#19128374C2218yescomplemented
52#19128369C2218yescomplemented
53#19128361C2218yescomplemented
54#19128359C2218yescomplemented
55#19128349C2218yescomplemented
56#19128343C2218yescomplemented
57#19128340C2218yescomplemented
58#19128325C2214yescomplemented
59#19128322C2214yescomplemented
60#19128320C2214yescomplemented
61#19128314C2212yescomplemented
62#19128313C2212yescomplemented
63#19128312C2212yescomplemented
64#19128307C2212yescomplemented
65#19128306C2212yescomplemented
66#19128305C2212yescomplemented
67#19128300C2214yescomplemented
68#19128298C2214yescomplemented
69#19128296C2214yescomplemented
70#19128291C2214yescomplemented
71#19128289C2214yescomplemented
72#19128288C2214yescomplemented
73#19128281C2214yescomplemented
74#19128280C2214yescomplemented
75#19128274C2214yes—
76#19128273C2214yescomplemented
77#19128267C2214yes—
78#19128266C2214yescomplemented
79#19128262C2214yes—
80#19128261C2214yes—
81#19128258C2211yescharacteristic, complemented
82#19128257C2212yescomplemented
83#19128256C2212yescomplemented
84#19128255C2214yescomplemented
85#19128255C2214yescomplemented
86#19128254C2212yescomplemented
87#19128253C2214yescomplemented
88#19128253C2214yescomplemented
89#19128252C2211yescharacteristic, complemented
90#19128251C2211yescharacteristic
91#19128250C2212yescomplemented
92#19128249C2211yescharacteristic, complemented
93#19128248C2214yescomplemented
94#19128248C2214yescomplemented
95#19128248C2218yescomplemented
96#19128247C2212yes—
97#19128246C2214yes—
98#19128246C2214yescomplemented
99C4⋊Q8×D83C2211yescharacteristic, complemented
100C4⋊Q8×D83C2212yescomplemented
101#127×D83C2211yescharacteristic, complemented
102#19128238C2214yescomplemented
103#19128238C2218yescomplemented
104#19128237C2214yescomplemented
105#19128233C2214yescomplemented
106#19128232C2214yescomplemented
107#19128231C2218yescomplemented
108#19128231C2218yescomplemented
109#19128231C2218yescomplemented
110#19128229C2218yescomplemented
111#19128229C2218yescomplemented
112#19128228C2218yescomplemented
113#125×D83C2212yescomplemented
114#124×D83C2212yescomplemented
115#19128213C2212yescomplemented
116#19128212C2212yescomplemented
117#19128210C2218yes—
118#19128210C2218yescomplemented
119#19128208C2212yescomplemented
120#19128207C2218yescomplemented
121C22⋊Q8×D83C2214yes—
122#121×D83C2214yes—
123#19128183C2214yescomplemented
124#19128180C2214yescomplemented
125#19128180C2218yescomplemented
126#19128177C2214yescomplemented
127#19128173C2218yes—
128#19128173C2214yescomplemented
129#41×Dic83C2212yescomplemented
130C4×#13050590C2212yescomplemented
131C4×#13050590C2214yescomplemented
132C4×#13050590C2218yescomplemented
133#19128169C2212yes—
134#19128169C2212yes—
135#19128169C2214yes—
136#19128169C2212yescomplemented
137#19128169C2212yescomplemented
138#19128169C2212yescomplemented
139#19128169C2214yescomplemented
140#19128169C2214yescomplemented
141C4×#13050589C2218yescomplemented
142C2×#14581757C2212yescomplemented
143C4×Q8×D83C2214yescomplemented
144C2×#14581754C2212yes—
145C2×(C22⋊D83)⋊C4C2212yes—
146C2×(C22⋊D83)⋊C4C2212yescomplemented
147C4×D4×D83C2214yescomplemented
148C2×#14581749C2211yescharacteristic
149C2×#14581749C2211yescharacteristic, complemented
150C2×#14581749C2214yescomplemented
151#117×D83C2212yes—
152#117×D83C2214yescomplemented
153C22×C4×Dic83C2211yescharacteristic, complemented
154C2×C42×D83C2211yescharacteristic
155C2×C42×D83C2211yescharacteristic, complemented
156#542×C83C2214yescomplemented
157#541×C83C2212yescomplemented
158#540×C83C2212yescomplemented
159#539×C83C2214yescomplemented
160#538×C83C2214yescomplemented
161#533×C83C2211yescharacteristic, complemented
162#532×C83C2211yescharacteristic
163#529×C83C2218yescomplemented
164#525×C83C2212yescomplemented
165C4×#41×C83C2212yescomplemented
166C2×#117×C83C2211yescharacteristic, complemented
167C2×#13050591C2312yes—
168C2×#13050590—28no—
169C2×#13050590C2312yes—
170C2×#13050590C2312yes—
171C2×#13050590C2312yes—
172C2×#13050590C2312yes—
173C2×#13050590C2312yes—
174C2×#13050590C2314yes—
175C2×#13050590C2318yes—
176C2×#13050589C2314yes—
177C2×#13050589C2312yes—
178C2×#13050589C2318yes—
179#41×D83—216no—
180C22×Dic166C2311yescharacteristic
181C2×Q8×D83C2312yes—
182C2×Q8×D83C2314yes—
183C22×D332C2311yescharacteristic
184C22×C22⋊D83C2311yescharacteristic
185C22×C22⋊D83C2311yescharacteristic
186C2×D4×D83C2314yes—
187C2×D4×D83C2312yes—
188C2×D4×D83C2314yes—
189C23×Dic83C2312yes—
190C22×C4×D83C2311yescharacteristic
191C22×C4×D83C2314yes—
192C22×C4×D83C2312yes—
193C22×C4×D83C2312yes—
194C22×C4×D83C2311yescharacteristic
195#14581792C2312yes—
196#14581792C2311yescharacteristic
197#14581791C2314yes—
198#14581791C2314yes—
199#14581791C2318yes—
200#14581791C2314yes—
201#14581790C2314yes—
202#14581790C2312yes—
203#14581789C2311yescharacteristic
204#14581788C2318yes—
205#14581788C2314yes—
206#14581788C2312yes—
207#14581787C2318yes—
208#14581787C2318yes—
209#14581787C2318yes—
210#14581787C2318yes—
211#14581787C2318yes—
212#14581787C2318yes—
213#14581785C2318yes—
214#14581785C2318yes—
215#14581785C2318yes—
216#14581785C2318yes—
217#14581784C2312yes—
218#14581783C2318yes—
219#14581783C2314yes—
220#14581782C2318yes—
221#14581782C2318yes—
222#14581782C2318yes—
223#14581782C2318yes—
224#14581782C2318yes—
225#14581781C2318yes—
226#14581781C2312yes—
227#14581780C2312yes—
228#14581779C2312yes—
229#14581778C2318yes—
230#14581778C2318yes—
231#14581778C2318yes—
232#14581778C2318yes—
233#14581778C2318yes—
234#14581778C2318yes—
235#14581778C2318yes—
236#14581777C2318yes—
237#14581777C2318yes—
238#14581777C2318yes—
239#14581777C2318yes—
240#14581777C2318yes—
241#14581776C2318yes—
242#14581776C2318yes—
243#14581776C2314yes—
244#14581775C2314yes—
245#14581774C2318yes—
246#14581774C2318yes—
247#14581774C2318yes—
248#14581773C2318yes—
249#14581773C2318yes—
250#14581773C2314yes—
251#14581772C2314yes—
252#14581772C2314yes—
253#14581771C2314yes—
254#14581771C2314yes—
255#14581770C2318yes—
256#14581770C2318yes—
257#14581770C2318yes—
258#14581770C2318yes—
259#14581769C2318yes—
260#14581769C2318yes—
261#14581769C2318yes—
262#14581769C2318yes—
263#14581768C2314yes—
264#14581768C2318yes—
265#14581768C2314yes—
266#14581767C2314yes—
267#14581767C2318yes—
268#14581767C2318yes—
269#14581767C2314yes—
270#14581766C2314yes—
271#14581766C2314yes—
272#14581765C2318yes—
273#14581765C2318yes—
274#14581765C2318yes—
275#14581765C2318yes—
276#14581765C2318yes—
277#14581765C2318yes—
278#14581764C2318yes—
279#14581764C2318yes—
280#14581764C2318yes—
281#14581764C2318yes—
282#14581763C2314yes—
283#14581763C2318yes—
284#14581763C2314yes—
285#14581762C2318yes—
286#14581762C2314yes—
287#14581761C2314yes—
288#14581760C2318yes—
289#14581760C2314yes—
290Q8×Dic83C2314yes—
291Q8×Dic83C2314yes—
292C4×Dic166C2314yes—
293C4×Dic166C2318yes—
294C4×Dic166C2318yes—
295C4×Dic166C2318yes—
296C4×Dic166C2314yes—
297#14581757C2314yes—
298#14581757C2318yes—
299#14581757C2318yes—
300#14581757C2314yes—
301#14581757C2314yes—
302#14581757C2314yes—
303#14581757C2314yes—
304#14581757C2318yes—
305#14581757C2314yes—
306C4×D332C2314yes—
307C4×D332C2318yes—
308C4×D332C2318yes—
309C4×D332C2314yes—
310C4×D332C2318yes—
311D4×Dic83C2314yes—
312D4×Dic83C2318yes—
313D4×Dic83C2314yes—
314D4×Dic83C2318yes—
315#14581754C2314yes—
316#14581754C2314yes—
317#14581754C2314yes—
318#14581754C2318yes—
319#14581754C2314yes—
320#14581754C2314yes—
321#14581754C2314yes—
322C4×C22⋊D83C2318yes—
323C4×C22⋊D83C2318yes—
324C4×C22⋊D83C2318yes—
325C4×C22⋊D83C2318yes—
326C4×C22⋊D83C2318yes—
327C4×C22⋊D83C2318yes—
328C4×C22⋊D83C2318yes—
329C4×C22⋊D83C2318yes—
330(C22⋊D83)⋊C4C2314yes—
331(C22⋊D83)⋊C4C2318yes—
332(C22⋊D83)⋊C4C2314yes—
333(C22⋊D83)⋊C4C2318yes—
334(C22⋊D83)⋊C4C2314yes—
335(C22⋊D83)⋊C4C2318yes—
336(C22⋊D83)⋊C4C2314yes—
337(C22⋊D83)⋊C4C2318yes—
338(C22⋊D83)⋊C4C2314yes—
339(C22⋊D83)⋊C4C2318yes—
340(C22⋊D83)⋊C4C2314yes—
341(C22⋊D83)⋊C4C2314yes—
342(C22⋊D83)⋊C4C2314yes—
343(C22⋊D83)⋊C4C2318yes—
344#14581751C2318yes—
345#14581751C2312yes—
346#14581751C2314yes—
347#14581750C2318yes—
348#14581750C2318yes—
349#14581750C2314yes—
350#14581749C2312yes—
351#14581749C2318yes—
352#14581749C2318yes—
353#14581749C2318yes—
354#14581749C2318yes—
355#14581749C2314yes—
356#14581749C2312yes—
357#14581749C2312yes—
358#14581749C2312yes—
359#14581749C2312yes—
360#14581749C2314yes—
361#14581749C2312yes—
362#14581749C2314yes—
363#14581749C2314yes—
364#14581748C2318yes—
365#14581748C2318yes—
366#14581748C2318yes—
367#14581748C2314yes—
368C2×Dic83⋊C4C2318yes—
369C2×Dic83⋊C4C2312yes—
370C2×Dic83⋊C4C2312yes—
371C4⋊C4×D83C2318yes—
372C4⋊C4×D83C2314yes—
373C4⋊C4×D83C2314yes—
374C4⋊C4×D83C2318yes—
375C4⋊C4×D83C2314yes—
376C2×(C2×D83)⋊C4C2318yes—
377C2×(C2×D83)⋊C4C2312yes—
378C2×(C2×D83)⋊C4C2312yes—
379C22⋊C4×D83C2318yes—
380C22⋊C4×D83C2318yes—
381C22⋊C4×D83C2314yes—
382C2×C4×Dic83C2311yescharacteristic
383C2×C4×Dic83C2312yes—
384C2×C4×Dic83C2312yes—
385C2×C4×Dic83C2311yescharacteristic
386C2×C4×Dic83C2312yes—
387C2×C4×Dic83C2314yes—
388C2×C4×Dic83C2312yes—
389C2×C4×Dic83C2312yes—
390C2×C4×Dic83C2314yes—
391C42×D83C2312yes—
392C42×D83C2312yes—
393C42×D83C2311yescharacteristic
394C42×D83C2311yescharacteristic
395C42×D83C2311yescharacteristic
396C42×D83C2311yescharacteristic
397C42×D83C2314yes—
398C42×D83C2312yes—
399C42×D83C2312yes—
400C42×D83C2314yes—
401C42×D83C2314yes—
402C42×D83C2314yes—
403C2×#41×C83C2312yes—
404C23×C4×C83C2311yescharacteristic
405C4⋊Q8×C83C2312yes—
406C4⋊Q8×C83C2311yescharacteristic
407#127×C83C2311yescharacteristic
408#126×C83C2318yes—
409#126×C83C2318yes—
410#125×C83C2318yes—
411#125×C83C2312yes—
412#124×C83C2312yes—
413#124×C83C2318yes—
414#123×C83C2318yes—
415#123×C83C2318yes—
416#123×C83C2314yes—
417C22⋊Q8×C83C2318yes—
418C22⋊Q8×C83C2314yes—
419C22⋊Q8×C83C2314yes—
420#121×C83C2318yes—
421#121×C83C2314yes—
422#121×C83C2314yes—
423#120×C83C2314yes—
424C4×Q8×C83C2314yes—
425C4×Q8×C83C2314yes—
426C4×D4×C83C2318yes—
427C4×D4×C83C2314yes—
428C4×D4×C83C2318yes—
429C4×D4×C83C2314yes—
430#117×C83C2312yes—
431#117×C83C2314yes—
432#117×C83C2312yes—
433#117×C83C2312yes—
434#117×C83C2314yes—
435C2×C4⋊C4×C83C2312yes—
436C2×C22⋊C4×C83C2312yes—
437C2×C42×C83C2311yescharacteristic
438C2×C42×C83C2311yescharacteristic
439C2×C42×C83C2314yes—
440C23×D83C2411yescharacteristic
441C23×D83C2414yes—
442C23×D83C2411yescharacteristic
443#13050591—28no—
444#13050590—28no—
445#13050590—216no—
446#13050590—28no—
447#13050590—28no—
448#13050590—28no—
449#13050590—28no—
450#13050590—416no—
451#13050589—216no—
452#13050589—28no—
453#13050589—416no—
454C2×Dic166—24no—
455C2×Dic166C2412yes—
456C2×Dic166C2418yes—
457C2×Dic166C2412yes—
458C2×Dic166C2414yes—
459C2×Dic166C2412yes—
460C2×Dic166C2414yes—
461Q8×D83—28no—
462Q8×D83—48no—
463C2×D332—24no—
464C2×D332C2412yes—
465C2×D332C2414yes—
466C2×D332C2412yes—
467C2×D332C2412yes—
468C2×D332C2418yes—
469C2×D332C2414yes—
470C2×C22⋊D83—24no—
471C2×C22⋊D83—24no—
472C2×C22⋊D83C2412yes—
473C2×C22⋊D83C2414yes—
474C2×C22⋊D83C2414yes—
475C2×C22⋊D83C2412yes—
476C2×C22⋊D83C2412yes—
477C2×C22⋊D83C2418yes—
478C2×C22⋊D83C2414yes—
479C2×C22⋊D83C2412yes—
480C2×C22⋊D83C2418yes—
481C2×C22⋊D83C2418yes—
482D4×D83—216no—
483D4×D83—28no—
484D4×D83—48no—
485C22×Dic83—44no—
486C22×Dic83C2412yes—
487C22×Dic83C2414yes—
488C22×Dic83C2414yes—
489C22×Dic83C2411yescharacteristic
490C22×Dic83C2418yes—
491C22×Dic83C2414yes—
492C22×Dic83C2412yes—
493C22×Dic83C2411yescharacteristic
494C2×C4×D83—24no—
495C2×C4×D83—216no—
496C2×C4×D83—44no—
497C2×C4×D83—44no—
498C2×C4×D83#4118yescomplemented
499C2×C4×D83C2412yes—
500C2×C4×D83C2412yes—
501C2×C4×D83C2414yes—
502C2×C4×D83C2414yes—
503C2×C4×D83C2412yes—
504C2×C4×D83C2414yes—
505C2×C4×D83C2412yes—
506C2×C4×D83C2414yes—
507C2×C4×D83C2412yes—
508C2×C4×D83C2418yes—
509C2×C4×D83C2418yes—
510C2×C4×D83C2418yes—
511C2×C4×D83C2412yes—
512C2×C4×D83C2414yes—
513C2×C4×D83C2411yescharacteristic
514C2×C4×D83C2411yescharacteristic
515C2×C4×D83C2411yescharacteristic
516C2×C4×D83C2411yescharacteristic
517C4⋊Dic83C2414yes—
518C4⋊Dic83C2414yes—
519C4⋊Dic83C2418yes—
520C4⋊Dic83C2414yes—
521C4⋊Dic83C2418yes—
522C4⋊Dic83C2418yes—
523Dic83⋊C4C2418yes—
524Dic83⋊C4C2418yes—
525Dic83⋊C4C2418yes—
526Dic83⋊C4C2418yes—
527Dic83⋊C4C2418yes—
528Dic83⋊C4C2418yes—
529Dic83⋊C4C2414yes—
530Dic83⋊C4C2418yes—
531Dic83⋊C4C2418yes—
532Dic83⋊C4C2418yes—
533Dic83⋊C4C2414yes—
534Dic83⋊C4C2414yes—
535Dic83⋊C4C2414yes—
536C22⋊Dic83C2414yes—
537C22⋊Dic83C2418yes—
538C22⋊Dic83C2418yes—
539C22⋊Dic83C2418yes—
540C22⋊Dic83C2418yes—
541(C2×D83)⋊C4C2418yes—
542(C2×D83)⋊C4C2418yes—
543(C2×D83)⋊C4C2418yes—
544(C2×D83)⋊C4C2418yes—
545(C2×D83)⋊C4C2418yes—
546(C2×D83)⋊C4C2414yes—
547(C2×D83)⋊C4C2418yes—
548(C2×D83)⋊C4C2418yes—
549(C2×D83)⋊C4C2418yes—
550(C2×D83)⋊C4C2418yes—
551(C2×D83)⋊C4C2414yes—
552(C2×D83)⋊C4C2414yes—
553(C2×D83)⋊C4C2414yes—
554C4×Dic83C2412yes—
555C4×Dic83C2414yes—
556C4×Dic83C2414yes—
557C4×Dic83C2418yes—
558C4×Dic83C2418yes—
559C4×Dic83C2418yes—
560C4×Dic83C2411yescharacteristic
561C4×Dic83C2418yes—
562C4×Dic83C2412yes—
563C4×Dic83C2414yes—
564C4×Dic83C2414yes—
565C4×Dic83C2411yescharacteristic
566C4×Dic83C2412yes—
567C4×Dic83C2412yes—
568C4×Dic83C2412yes—
569C4×Dic83C2412yes—
570C4×Dic83C2414yes—
571C4×Dic83C2412yes—
572C24×C83C2411yescharacteristic
573#41×C83—28no—
574C2×Q8×C83C2412yes—
575C2×Q8×C83C2414yes—
576C2×D4×C83C2414yes—
577C2×D4×C83C2412yes—
578C2×D4×C83C2418yes—
579C2×D4×C83C2414yes—
580C22×C4×C83—24no—
581C22×C4×C83C2412yes—
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2414yes—
584C22×C4×C83C2412yes—
585C22×C4×C83C2412yes—
586C22×C4×C83C2412yes—
587C22×C4×C83C2418yes—
588C22×C4×C83C2411yescharacteristic
589C4⋊C4×C83C2418yes—
590C4⋊C4×C83C2418yes—
591C4⋊C4×C83C2414yes—
592C4⋊C4×C83C2414yes—
593C4⋊C4×C83C2414yes—
594C4⋊C4×C83C2418yes—
595C4⋊C4×C83C2414yes—
596C4⋊C4×C83C2414yes—
597C22⋊C4×C83C2418yes—
598C22⋊C4×C83C2414yes—
599C22⋊C4×C83C2418yes—
600C22⋊C4×C83C2414yes—
601C22⋊C4×C83C2418yes—
602C22⋊C4×C83C2418yes—
603C22⋊C4×C83C2414yes—
604C42×C83C2411yescharacteristic
605C42×C83C2411yescharacteristic
606C42×C83C2412yes—
607C42×C83C2412yes—
608C42×C83C2412yes—
609C42×C83C2414yes—
610C42×C83C2418yes—
611C23×C83—22no—
612C23×C83—42no—
613C23×C83C2512yes—
614C23×C83C2514yes—
615C23×C83C2511yescharacteristic
616C22×D83—22no—
617C22×D83—28no—
618C22×D83—42no—
619C22×D83—42no—
620C22×D83—48no—
621C22×D83C2×#4114yes—
622C22×D83C2512yes—
623C22×D83C2514yes—
624C22×D83C2511yescharacteristic
625C22×D83C2511yescharacteristic
626Q8×C83—24no—
627Q8×C83—44no—
628D4×C83—28no—
629D4×C83—24no—
630D4×C83—44no—
631D4×C83—48no—
632C2×C4×C83—22no—
633C2×C4×C83—24no—
634C2×C4×C83—24no—
635C2×C4×C83—28no—
636C2×C4×C83—42no—
637C2×C4×C83—42no—
638C2×C4×C83—48no—
639C2×C4×C83C2×#4114yes—
640C2×C4×C83C2514yes—
641C2×C4×C83C2512yes—
642C2×C4×C83C2514yes—
643C2×C4×C83C2518yes—
644C2×C4×C83C2512yes—
645C2×C4×C83C2512yes—
646C2×C4×C83C2511yescharacteristic
647C2×C4×C83C2511yescharacteristic
648C22⋊D83—28no—
649C22⋊D83—28no—
650C22⋊D83—24no—
651C22⋊D83—24no—
652C22⋊D83—28no—
653C22⋊D83—24no—
654C22⋊D83—24no—
655C22⋊D83—216no—
656C22⋊D83—48no—
657C22⋊D83—48no—
658C2×Dic83—22no—
659C2×Dic83—28no—
660C2×Dic83—24no—
661C2×Dic83—28no—
662C2×Dic83—44no—
663C2×Dic83—42no—
664C2×Dic83—48no—
665C2×Dic83C2×#4114yes—
666C2×Dic83C2514yes—
667C2×Dic83C2512yes—
668C2×Dic83C2512yes—
669C2×Dic83C2514yes—
670C2×Dic83C2518yes—
671C2×Dic83C2511yescharacteristic
672C2×Dic83C2511yescharacteristic
673C2×Dic83C2512yes—
674D332—28no—
675D332—24no—
676D332—24no—
677D332—24no—
678D332—44no—
679D332—48no—
680C4×D83—28no—
681C4×D83—24no—
682C4×D83—24no—
683C4×D83—28no—
684C4×D83—28no—
685C4×D83—24no—
686C4×D83—24no—
687C4×D83—28no—
688C4×D83—42no—
689C4×D83—44no—
690C4×D83—42no—
691C4×D83—48no—
692C4×D83—48no—
693C4×D83—48no—
694C4×D83C2×#4114yes—
695C4×D83C2×#4114yes—
696C4×D83C2×#4114yes—
697C4×D83C2×#4114yes—
698Dic166—24no—
699Dic166—28no—
700Dic166—24no—
701Dic166—24no—
702Dic166—216no—
703Dic166—44no—
704C22×C83—22no—
705C22×C83—24no—
706C22×C83—22no—
707C22×C83—24no—
708C22×C83—28no—
709C22×C83—44no—
710C22×C83C22×#4112yes—
711C22×C83C2611yescharacteristic
712C2×D83—22no—
713C2×D83—22no—
714C2×D83—22no—
715C2×D83—24no—
716C2×D83—24no—
717C2×D83—28no—
718C2×D83—44no—
719C2×D83—44no—
720C2×D83—88no—
721C2×D83C22×#4112yes—
722C2×D83C22×#4112yes—
723C4×C83—22no—
724C4×C83—24no—
725C4×C83—28no—
726C4×C83—22no—
727C4×C83—24no—
728C4×C83—22no—
729C4×C83C22×#4112yes—
730C4×C83C22×#4112yes—
731Dic83—24no—
732Dic83—22no—
733Dic83—28no—
734Dic83—22no—
735Dic83—24no—
736Dic83C22×#4112yes—
737Dic83C22×#4112yes—
738Dic83#58514yes—
739#62815—831nomaximal, Sylow
740C2×C83—22no—
741C2×C83—44no—
742C2×C83—42no—
743C2×C83C23×#4111yescharacteristic
744C2×C83C2×#58512yes—
745D83—22no—
746D83—22no—
747D83—42no—
748D83—44no—
749#3512—832no—
750#3512—832no—
751#3511—834no—
752#3510—834no—
753#3509—832no—
754#3508—832no—
755#3507—834no—
756#3506—834no—
757#3505—834no—
758#3505—834no—
759#3480—838no—
760#3475—838no—
761#3455—831no—
762#3455—831no—
763#3455—831no—
764#3455D8311yescharacteristic, complemented
765#3449—832no—
766#3444—832no—
767#3444—832no—
768C2×#533—831no—
769C2×#532—831no—
770#3428—832no—
771C2×C4×#41—831no—
772C83#6281511yescharacteristic, complemented, Sylow
773C22×#41—832no—
774C22×#41—831no—
775#559—838no—
776#559—838no—
777#559—838no—
778#557—838no—
779#556—838no—
780#556—838no—
781#556—838no—
782#556—838no—
783#555—838no—
784#554—838no—
785#553—838no—
786#553—838no—
787#553—838no—
788#553—838no—
789#553—838no—
790#553—838no—
791#553—838no—
792#553—838no—
793#552—838no—
794#552—838no—
795#552—838no—
796#552—838no—
797#551—838no—
798#551—838no—
799#551—838no—
800#551—838no—
801#550—838no—
802#548—838no—
803#548—838no—
804#547—838no—
805#546—838no—
806#546—838no—
807#542—834no—
808#542—834no—
809#542—834no—
810#542C2×D8314yescomplemented
811#541—832no—
812#541—832no—
813#541—832no—
814#541C2×D8312yescomplemented
815#540—832no—
816#540—832no—
817#540—832no—
818#540C2×D8312yescomplemented
819#539—834no—
820#539—834no—
821#539—834no—
822#539C2×D8314yescomplemented
823#538—834no—
824#538—834no—
825#538—834no—
826#538C2×D8314yescomplemented
827#537—834no—
828#537—834no—
829#536—834no—
830#536—834no—
831#535—834no—
832#535—834no—
833#534—834no—
834#534—834no—
835#533—832no—
836#533—832no—
837#533—834no—
838#533—834no—
839#533—834no—
840#533—834no—
841#533—832no—
842#533—831no—
843#533C2×D8311yescharacteristic, complemented
844#532—832no—
845#532—831no—
846#532—831no—
847#532—832no—
848#532—834no—
849#532—834no—
850#532—834no—
851#532—834no—
852#532—838no—
853#532—831no—
854#532C2×D8311yescharacteristic
855C2×C4⋊Q8—831no—
856C2×C4⋊Q8—832no—
857C2×#127—831no—
858#529—838no—
859#529—834no—
860#529—834no—
861#529—834no—
862#529—838no—
863#529—838no—
864#529—838no—
865#529—834no—
866#529—838no—
867#529—838no—
868#529—838no—
869#529C2×D8318yescomplemented
870C2×#125—832no—
871C2×#124—832no—
872#525—832no—
873#525—832no—
874#525—838no—
875#525—838no—
876#525—838no—
877#525—832no—
878#525C2×D8312yescomplemented
879C2×C22⋊Q8—834no—
880C2×#121—834no—
881#520—834no—
882#520—838no—
883#520—834no—
884#519—834no—
885#518—838no—
886#518—834no—
887C4×#41—832no—
888C4×#41—838no—
889C4×#41—834no—
890C4×#41—832no—
891C4×#41—832no—
892C4×#41—834no—
893C4×#41—832no—
894C4×#41—832no—
895C4×#41—832no—
896C4×#41—834no—
897C4×#41—832no—
898C4×#41—834no—
899C4×#41—838no—
900C4×#41C2×D8312yescomplemented
901C2×C4×Q8—834no—
902C2×C4×Q8—832no—
903C2×C4×D4—834no—
904C2×C4×D4—832no—
905C2×C4×D4—832no—
906C2×C4×D4—832no—
907C2×#117—832no—
908C2×#117—834no—
909C2×#117—831no—
910C2×#117—831no—
911C2×#117—834no—
912C2×#117C2×D8311yescharacteristic, complemented
913C22×C42—831no—
914C22×C42—831no—
915C22×C42—831no—
916C2×#41—832no—
917C2×#41—838no—
918C2×#41—834no—
919C2×#41—832no—
920C2×#41—838no—
921C2×#41—832no—
922C2×#41—832no—
923C2×#41—832no—
924C2×#41—834no—
925C2×#41—832no—
926C2×#41—832no—
927C2×#41—1668no—
928C2×#41—16616no—
929C2×#41C22×D8312yes—
930C22×Q8—834no—
931C22×Q8—832no—
932C22×Q8—831no—
933C22×D4—834no—
934C22×D4—831no—
935C22×D4—831no—
936C22×D4—834no—
937C22×D4—832no—
938C22×D4—831no—
939C23×C4—832no—
940C23×C4—832no—
941C23×C4—832no—
942C23×C4—831no—
943C23×C4—834no—
944C23×C4—831no—
945C23×C4C22×D8311yescharacteristic
946C4⋊Q8—832no—
947C4⋊Q8—834no—
948C4⋊Q8—834no—
949C4⋊Q8—834no—
950C4⋊Q8—834no—
951C4⋊Q8—838no—
952C4⋊Q8—831no—
953C4⋊Q8—832no—
954C4⋊Q8C22×D8311yescharacteristic
955C4⋊Q8C22×D8312yes—
956#127—832no—
957#127—834no—
958#127—838no—
959#127—831no—
960#127C22×D8311yescharacteristic
961#126—838no—
962#126—838no—
963#126—838no—
964#126—838no—
965#126—838no—
966#126—838no—
967#126—838no—
968#126—838no—
969#126—838no—
970#126—838no—
971#126C22×D8318yes—
972#126C22×D8318yes—
973#125—834no—
974#125—838no—
975#125—838no—
976#125—838no—
977#125—838no—
978#125—838no—
979#125—838no—
980#125—832no—
981#125C22×D8312yes—
982#125C22×D8318yes—
983#124—832no—
984#124—838no—
985#124—832no—
986#124—838no—
987#124—838no—
988#124—838no—
989#124—838no—
990#124—838no—
991#124—838no—
992#124—838no—
993#124—832no—
994#124C22×D8312yes—
995#124C22×D8318yes—
996#123—834no—
997#123—838no—
998#123—838no—
999#123—834no—
1000#123—838no—
1001#123—838no—
1002#123—838no—
1003#123—838no—
1004#123—838no—
1005#123—838no—
1006#123—838no—
1007#123—834no—
1008#123—838no—
1009#123—838no—
1010#123—838no—
1011#123C22×D8314yes—
1012#123C22×D8318yes—
1013#123C22×D8318yes—
1014C22⋊Q8—834no—
1015C22⋊Q8—834no—
1016C22⋊Q8—838no—
1017C22⋊Q8—834no—
1018C22⋊Q8—834no—
1019C22⋊Q8—838no—
1020C22⋊Q8—838no—
1021C22⋊Q8—838no—
1022C22⋊Q8—838no—
1023C22⋊Q8—834no—
1024C22⋊Q8—834no—
1025C22⋊Q8—838no—
1026C22⋊Q8—838no—
1027C22⋊Q8—838no—
1028C22⋊Q8—838no—
1029C22⋊Q8C22×D8314yes—
1030C22⋊Q8C22×D8314yes—
1031C22⋊Q8C22×D8318yes—
1032#121—834no—
1033#121—834no—
1034#121—838no—
1035#121—838no—
1036#121—838no—
1037#121—838no—
1038#121—838no—
1039#121—834no—
1040#121—834no—
1041#121—834no—
1042#121—834no—
1043#121—838no—
1044#121—838no—
1045#121—838no—
1046#121—838no—
1047#121—838no—
1048#121—838no—
1049#121—838no—
1050#121—838no—
1051#121C22×D8314yes—
1052#121C22×D8314yes—
1053#121C22×D8318yes—
1054#120—834no—
1055#120—834no—
1056#120—838no—
1057#120—834no—
1058#120—838no—
1059#120C22×D8314yes—
1060C4×Q8—834no—
1061C4×Q8—834no—
1062C4×Q8—834no—
1063C4×Q8—834no—
1064C4×Q8—834no—
1065C4×Q8—834no—
1066C4×Q8—838no—
1067C4×Q8—834no—
1068C4×Q8—834no—
1069C4×Q8—838no—
1070C4×Q8—838no—
1071C4×Q8—838no—
1072C4×Q8—834no—
1073C4×Q8—834no—
1074C4×Q8—838no—
1075C4×Q8—838no—
1076C4×Q8C22×D8314yes—
1077C4×Q8C22×D8314yes—
1078C4×D4—834no—
1079C4×D4—838no—
1080C4×D4—834no—
1081C4×D4—838no—
1082C4×D4—838no—
1083C4×D4—838no—
1084C4×D4—838no—
1085C4×D4—838no—
1086C4×D4—838no—
1087C4×D4—838no—
1088C4×D4—838no—
1089C4×D4—838no—
1090C4×D4—834no—
1091C4×D4—834no—
1092C4×D4—834no—
1093C4×D4—834no—
1094C4×D4—834no—
1095C4×D4—834no—
1096C4×D4—838no—
1097C4×D4—834no—
1098C4×D4—834no—
1099C4×D4—834no—
1100C4×D4—834no—
1101C4×D4—834no—
1102C4×D4—834no—
1103C4×D4—834no—
1104C4×D4—834no—
1105C4×D4—838no—
1106C4×D4—838no—
1107C4×D4—838no—
1108C4×D4—838no—
1109C4×D4—838no—
1110C4×D4—838no—
1111C4×D4—834no—
1112C4×D4—834no—
1113C4×D4—838no—
1114C4×D4—838no—
1115C4×D4—838no—
1116C4×D4C22×D8314yes—
1117C4×D4C22×D8318yes—
1118C4×D4C22×D8318yes—
1119C4×D4C22×D8314yes—
1120#117—832no—
1121#117—834no—
1122#117—838no—
1123#117—834no—
1124#117—838no—
1125#117—838no—
1126#117—834no—
1127#117—838no—
1128#117—838no—
1129#117—838no—
1130#117—832no—
1131#117—834no—
1132#117—832no—
1133#117—832no—
1134#117—832no—
1135#117—834no—
1136#117—834no—
1137#117—834no—
1138#117—832no—
1139#117—832no—
1140#117—838no—
1141#117—838no—
1142#117—838no—
1143#117—838no—
1144#117C22×D8312yes—
1145#117C22×D8314yes—
1146#117C22×D8314yes—
1147#117C22×D8312yes—
1148#117C22×D8312yes—
1149C2×C4⋊C4—832no—
1150C2×C4⋊C4—832no—
1151C2×C4⋊C4—838no—
1152C2×C4⋊C4—834no—
1153C2×C4⋊C4—838no—
1154C2×C4⋊C4—834no—
1155C2×C4⋊C4—838no—
1156C2×C4⋊C4—834no—
1157C2×C4⋊C4C22×D8312yes—
1158C2×C22⋊C4—832no—
1159C2×C22⋊C4—832no—
1160C2×C22⋊C4—838no—
1161C2×C22⋊C4—834no—
1162C2×C22⋊C4—838no—
1163C2×C22⋊C4—838no—
1164C2×C22⋊C4C22×D8312yes—
1165C2×C42—831no—
1166C2×C42—834no—
1167C2×C42—832no—
1168C2×C42—832no—
1169C2×C42—832no—
1170C2×C42—834no—
1171C2×C42—832no—
1172C2×C42—832no—
1173C2×C42—831no—
1174C2×C42—834no—
1175C2×C42—834no—
1176C2×C42—834no—
1177C2×C42—832no—
1178C2×C42—832no—
1179C2×C42—834no—
1180C2×C42—831no—
1181C2×C42—831no—
1182C2×C42—832no—
1183C2×C42—831no—
1184C2×C42—831no—
1185C2×C42—832no—
1186C2×C42C22×D8311yescharacteristic
1187C2×C42C22×D8311yescharacteristic
1188C2×C42C22×D8314yes—
1189C24—831no—
1190C24—834no—
1191C24—831no—
1192C24C23×D8311yescharacteristic
1193#41—28no—
1194#41—33216no—
1195#41—33216no—
1196#41—1668no—
1197#41—1668no—
1198#41—1668no—
1199#41—1668no—
1200#41—16616no—
1201#41—16616no—
1202#41—1668no—
1203#41—1668no—
1204#41—1668no—
1205C2×Q8—3328no—
1206C2×Q8—834no—
1207C2×Q8—832no—
1208C2×Q8—838no—
1209C2×Q8—832no—
1210C2×Q8—832no—
1211C2×Q8—834no—
1212C2×Q8—1664no—
1213C2×Q8—1668no—
1214C2×Q8C23×D8312yes—
1215C2×Q8C23×D8314yes—
1216C2×D4—3328no—
1217C2×D4—838no—
1218C2×D4—838no—
1219C2×D4—832no—
1220C2×D4—834no—
1221C2×D4—832no—
1222C2×D4—834no—
1223C2×D4—832no—
1224C2×D4—838no—
1225C2×D4—834no—
1226C2×D4—832no—
1227C2×D4—838no—
1228C2×D4—834no—
1229C2×D4—832no—
1230C2×D4—832no—
1231C2×D4—834no—
1232C2×D4—832no—
1233C2×D4—1664no—
1234C2×D4—1668no—
1235C2×D4—1664no—
1236C2×D4—16616no—
1237C2×D4—1664no—
1238C2×D4C23×D8314yes—
1239C2×D4C23×D8312yes—
1240C2×D4C23×D8318yes—
1241C2×D4C23×D8314yes—
1242C22×C4—24no—
1243C22×C4—3324no—
1244C22×C4—3324no—
1245C22×C4—3324no—
1246C22×C4—832no—
1247C22×C4—834no—
1248C22×C4—838no—
1249C22×C4—832no—
1250C22×C4—832no—
1251C22×C4—834no—
1252C22×C4—838no—
1253C22×C4—838no—
1254C22×C4—838no—
1255C22×C4—831no—
1256C22×C4—838no—
1257C22×C4—831no—
1258C22×C4—831no—
1259C22×C4—831no—
1260C22×C4—831no—
1261C22×C4—832no—
1262C22×C4—831no—
1263C22×C4—834no—
1264C22×C4—834no—
1265C22×C4—832no—
1266C22×C4—832no—
1267C22×C4—834no—
1268C22×C4—832no—
1269C22×C4—834no—
1270C22×C4—834no—
1271C22×C4—834no—
1272C22×C4—832no—
1273C22×C4—16616no—
1274C22×C4—1664no—
1275C22×C4C23×D8311yescharacteristic
1276C22×C4C23×D8312yes—
1277C22×C4C23×D8312yes—
1278C22×C4C23×D8314yes—
1279C22×C4C23×D8312yes—
1280C22×C4C23×D8312yes—
1281C22×C4C23×D8318yes—
1282C22×C4C23×D8311yescharacteristic
1283C4⋊C4—834no—
1284C4⋊C4—838no—
1285C4⋊C4—834no—
1286C4⋊C4—838no—
1287C4⋊C4—838no—
1288C4⋊C4—834no—
1289C4⋊C4—834no—
1290C4⋊C4—838no—
1291C4⋊C4—838no—
1292C4⋊C4—838no—
1293C4⋊C4—838no—
1294C4⋊C4—838no—
1295C4⋊C4—834no—
1296C4⋊C4—834no—
1297C4⋊C4—838no—
1298C4⋊C4—834no—
1299C4⋊C4—838no—
1300C4⋊C4—838no—
1301C4⋊C4—838no—
1302C4⋊C4C23×D8314yes—
1303C4⋊C4C23×D8318yes—
1304C4⋊C4C23×D8314yes—
1305C4⋊C4C23×D8318yes—
1306C4⋊C4C23×D8314yes—
1307C4⋊C4C23×D8314yes—
1308C4⋊C4C23×D8314yes—
1309C4⋊C4C23×D8318yes—
1310C22⋊C4—834no—
1311C22⋊C4—838no—
1312C22⋊C4—838no—
1313C22⋊C4—838no—
1314C22⋊C4—838no—
1315C22⋊C4—834no—
1316C22⋊C4—838no—
1317C22⋊C4—834no—
1318C22⋊C4—834no—
1319C22⋊C4—838no—
1320C22⋊C4—838no—
1321C22⋊C4—838no—
1322C22⋊C4—834no—
1323C22⋊C4—838no—
1324C22⋊C4—838no—
1325C22⋊C4—838no—
1326C22⋊C4—838no—
1327C22⋊C4—838no—
1328C22⋊C4C23×D8314yes—
1329C22⋊C4C23×D8318yes—
1330C22⋊C4C23×D8318yes—
1331C22⋊C4C23×D8314yes—
1332C22⋊C4C23×D8314yes—
1333C22⋊C4C23×D8318yes—
1334C22⋊C4C23×D8318yes—
1335C42—831no—
1336C42—831no—
1337C42—832no—
1338C42—834no—
1339C42—834no—
1340C42—832no—
1341C42—832no—
1342C42—834no—
1343C42—834no—
1344C42—832no—
1345C42—832no—
1346C42—838no—
1347C42—838no—
1348C42—838no—
1349C42—838no—
1350C42—832no—
1351C42—832no—
1352C42—834no—
1353C42C23×D8312yes—
1354C42C23×D8311yescharacteristic
1355C42C23×D8311yescharacteristic
1356C42C23×D8318yes—
1357C42C23×D8312yes—
1358C42C23×D8312yes—
1359C42C23×D8314yes—
1360C23—22no—
1361C23—42no—
1362C23—3322no—
1363C23—3322no—
1364C23—3328no—
1365C23—834no—
1366C23—831no—
1367C23—831no—
1368C23—834no—
1369C23—832no—
1370C23—1668no—
1371C23—1662no—
1372C23C24×D8314yes—
1373C23C24×D8312yes—
1374C23C24×D8311yescharacteristic
1375Q8—24no—
1376Q8—44no—
1377Q8—3324no—
1378Q8—16616no—
1379Q8—1664no—
1380Q8—1664no—
1381Q8—1668no—
1382Q8—1664no—
1383D4—28no—
1384D4—24no—
1385D4—44no—
1386D4—48no—
1387D4—3324no—
1388D4—3328no—
1389D4—3328no—
1390D4—3328no—
1391D4—1664no—
1392D4—1664no—
1393D4—1668no—
1394D4—16616no—
1395D4—1664no—
1396D4—1664no—
1397D4—1668no—
1398D4—1664no—
1399D4—1664no—
1400D4—1668no—
1401D4—1668no—
1402D4—1664no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—28no—
1407C2×C4—42no—
1408C2×C4—42no—
1409C2×C4—48no—
1410C2×C4—3324no—
1411C2×C4—3322no—
1412C2×C4—3322no—
1413C2×C4—3328no—
1414C2×C4—3328no—
1415C2×C4—3328no—
1416C2×C4—3322no—
1417C2×C4—3324no—
1418C2×C4—3328no—
1419C2×C4—834no—
1420C2×C4—831no—
1421C2×C4—832no—
1422C2×C4—831no—
1423C2×C4—834no—
1424C2×C4—834no—
1425C2×C4—834no—
1426C2×C4—834no—
1427C2×C4—832no—
1428C2×C4—834no—
1429C2×C4—832no—
1430C2×C4—834no—
1431C2×C4—838no—
1432C2×C4—1664no—
1433C2×C4—1664no—
1434C2×C4—1668no—
1435C2×C4—1668no—
1436C2×C4—1668no—
1437C2×C4—1664no—
1438C2×C4—1668no—
1439C2×C4—1668no—
1440C2×C4—1662no—
1441C2×C4—1668no—
1442C2×C4—1664no—
1443C2×C4—1664no—
1444C2×C4#41×D8314yes—
1445C2×C4C24×D8314yes—
1446C2×C4C24×D8312yes—
1447C2×C4C24×D8312yes—
1448C2×C4C24×D8314yes—
1449C2×C4C24×D8318yes—
1450C2×C4C24×D8312yes—
1451C2×C4C24×D8311yescharacteristic
1452C2×C4C24×D8311yescharacteristic
1453C22—22no—
1454C22—22no—
1455C22—24no—
1456C22—28no—
1457C22—24no—
1458C22—44no—
1459C22—3324no—
1460C22—3324no—
1461C22—832no—
1462C22—832no—
1463C22—6648no—
1464C22—1662no—
1465C22—1664no—
1466C22—1668no—
1467C22—1664no—
1468C22—1662no—
1469C22—1662no—
1470C22C2×#41×D8312yes—
1471C22C25×D8311yescharacteristic
1472C4—22no—
1473C4—24no—
1474C4—24no—
1475C4—28no—
1476C4—22no—
1477C4—22no—
1478C4—832no—
1479C4—832no—
1480C4—834no—
1481C4—1664no—
1482C4—1662no—
1483C4—1662no—
1484C4—1664no—
1485C4—1668no—
1486C4C2×#41×D8312yes—
1487C4C2×#41×D8312yes—
1488C2—22no—
1489C2—42no—
1490C2—44no—
1491C2—3322no—
1492C2—3324no—
1493C2—1662no—
1494C2—1662no—
1495C2C22×#41×D8311yescharacteristic
1496C2#585×D8312yes—
subgroupG/H
centerC2×C4C24×D83
commutator, socle, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC83×#3455C2
hypercenter#3455D83
hypocenterC83#62815
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #24921386C2semidirect
2. #24921382C2semidirect
3. #24921368C2semidirect
4. #24921355C2semidirect
5. #24921345C2semidirect
6. #24921335C2semidirect
7. #24921323C2semidirect
8. #24921310C2semidirect
9. #24921301C2semidirect
10. #24921295C2semidirect
11. #24921054C2semidirect
12. #24921015C2semidirect
13. #24920855C2semidirect
14. #24920853C2semidirect
15. #24920852C2semidirect
16. #24920793C2semidirect
17. #24920756C2semidirect
18. #24920755C2semidirect
19. #533×D83C2semidirect
20. #532×D83C2semidirect
21. #24920662C2semidirect
22. C2×#19128169C2semidirect
23. C83×#3455C2semidirect
26. #19128435C22semidirect
27. #19128435C22semidirect
28. #19128433C22semidirect
29. #19128428C22semidirect
30. #19128422C22semidirect
31. #19128418C22semidirect
32. #19128418C22semidirect
33. #19128418C22semidirect
34. #19128413C22semidirect
35. #19128405C22semidirect
36. #19128404C22semidirect
37. #19128402C22semidirect
38. #19128402C22semidirect
39. #19128402C22semidirect
40. #19128398C22semidirect
41. #19128396C22semidirect
42. #19128396C22semidirect
43. #19128394C22semidirect
44. #19128388C22semidirect
45. #19128387C22semidirect
46. #19128383C22semidirect
47. #19128383C22semidirect
48. #19128381C22semidirect
49. #19128378C22semidirect
50. #19128376C22semidirect
51. #19128374C22semidirect
52. #19128369C22semidirect
53. #19128361C22semidirect
54. #19128359C22semidirect
55. #19128349C22semidirect
56. #19128343C22semidirect
57. #19128340C22semidirect
58. #19128325C22semidirect
59. #19128322C22semidirect
60. #19128320C22semidirect
61. #19128314C22semidirect
62. #19128313C22semidirect
63. #19128312C22semidirect
64. #19128307C22semidirect
65. #19128306C22semidirect
66. #19128305C22semidirect
67. #19128300C22semidirect
68. #19128298C22semidirect
69. #19128296C22semidirect
70. #19128291C22semidirect
71. #19128289C22semidirect
72. #19128288C22semidirect
73. #19128281C22semidirect
74. #19128280C22semidirect
76. #19128273C22semidirect
78. #19128266C22semidirect
81. #19128258C22semidirect
82. #19128257C22semidirect
83. #19128256C22semidirect
84. #19128255C22semidirect
85. #19128255C22semidirect
86. #19128254C22semidirect
87. #19128253C22semidirect
88. #19128253C22semidirect
89. #19128252C22semidirect
91. #19128250C22semidirect
92. #19128249C22semidirect
93. #19128248C22semidirect
94. #19128248C22semidirect
95. #19128248C22semidirect
98. #19128246C22semidirect
99. C4⋊Q8×D83C22semidirect
100. C4⋊Q8×D83C22semidirect
101. #127×D83C22semidirect
102. #19128238C22semidirect
103. #19128238C22semidirect
104. #19128237C22semidirect
105. #19128233C22semidirect
106. #19128232C22semidirect
107. #19128231C22semidirect
108. #19128231C22semidirect
109. #19128231C22semidirect
110. #19128229C22semidirect
111. #19128229C22semidirect
112. #19128228C22semidirect
113. #125×D83C22semidirect
114. #124×D83C22semidirect
115. #19128213C22semidirect
116. #19128212C22semidirect
118. #19128210C22semidirect
119. #19128208C22semidirect
120. #19128207C22semidirect
123. #19128183C22semidirect
124. #19128180C22semidirect
125. #19128180C22semidirect
126. #19128177C22semidirect
128. #19128173C22semidirect
129. #41×Dic83C22semidirect
130. C4×#13050590C22semidirect
131. C4×#13050590C22semidirect
132. C4×#13050590C22semidirect
136. #19128169C22semidirect
137. #19128169C22semidirect
138. #19128169C22semidirect
139. #19128169C22semidirect
140. #19128169C22semidirect
141. C4×#13050589C22semidirect
142. C2×#14581757C22semidirect
143. C4×Q8×D83C22semidirect
146. C2×(C22⋊D83)⋊C4C22semidirect
147. C4×D4×D83C22semidirect
149. C2×#14581749C22semidirect
150. C2×#14581749C22semidirect
152. #117×D83C22semidirect
153. C22×C4×Dic83C22semidirect
155. C2×C42×D83C22semidirect
156. #542×C83C22semidirect
157. #541×C83C22semidirect
158. #540×C83C22semidirect
159. #539×C83C22semidirect
160. #538×C83C22semidirect
161. #533×C83C22semidirect
163. #529×C83C22semidirect
164. #525×C83C22semidirect
165. C4×#41×C83C22semidirect
166. C2×#117×C83C22semidirect
498. C2×C4×D83#41semidirect
764. #3455D83semidirect
772. C83#62815semidirect
810. #542C2×D83semidirect
814. #541C2×D83semidirect
818. #540C2×D83semidirect
822. #539C2×D83semidirect
826. #538C2×D83semidirect
843. #533C2×D83semidirect
869. #529C2×D83semidirect
878. #525C2×D83semidirect
900. C4×#41C2×D83semidirect
912. C2×#117C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213862
#249213822
#249213682
#249213552
#249213452
#249213352
#249213232
#249213102
#249213012
#249212952
#249210542
#249210152
#249208552
#249208532
#249208522
#249207932
#249207562
#249207552
#533×D832
#532×D832
#249206622
C2×#191281692
C83×#34552
#6281583