Finite Group Databasebeta

← #36312639

Subgroups — #36312639

Order 21248.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921555C214yesmaximal, complemented
2#24921544C214yesmaximal, complemented
3#24921454C214yesmaximal, complemented
4#24921450C214yesmaximal, complemented
5#24921327C212yesmaximal, complemented
6#24921323C214yesmaximal, complemented
7#24921271C211yesmaximal, characteristic, complemented
8#24921232C211yesmaximal, characteristic, complemented
9#24921173C211yesmaximal, characteristic, complemented
10#24921170C211yesmaximal, characteristic, complemented
11#24921168C214yesmaximal, complemented
12#24921112C212yesmaximal, complemented
13#24921081C214yesmaximal, complemented
14#24921076C214yesmaximal, complemented
15#24921054C214yesmaximal, complemented
16#24921041C214yesmaximal, complemented
17#24920896C211yesmaximal, characteristic, complemented
18#24920892C214yesmaximal, complemented
19#24920757C214yesmaximal, complemented
20#24920756C212yesmaximal, complemented
21C4×#14581839C212yesmaximal, complemented
22C2×C4×Q8×D83C211yesmaximal, characteristic, complemented
23C83×#3461C211yesmaximal, characteristic, complemented
24C2×#14581839C2212yes—
25C22×Q8×D83C2211yescharacteristic
26#19128435C2218yescomplemented
27#19128433C2214yescomplemented
28#19128431C2214yescomplemented
29#19128428C2214yescomplemented
30#19128428C2214yescomplemented
31#19128428C2218yescomplemented
32#19128426C2214yescomplemented
33#19128426C2214yescomplemented
34#19128425C2214yescomplemented
35#19128422C2218yescomplemented
36#19128422C2214yescomplemented
37#19128420C2214yescomplemented
38#19128418C2218yescomplemented
39#19128418C2218yescomplemented
40#19128412C2214yes—
41#19128409C2214yes—
42#19128409C2214yescomplemented
43#19128407C2218yes—
44#19128405C2218yes—
45#19128405C2218yescomplemented
46#19128404C2214yes—
47#19128402C2218yes—
48#19128398C2214yes—
49#19128396C2218yes—
50#19128393C2214yescomplemented
51#19128389C2214yes—
52#19128388C2218yescomplemented
53#19128387C2218yes—
54#19128385C2214yes—
55#19128385C2214yescomplemented
56#19128383C2218yes—
57#19128383C2218yescomplemented
58#19128369C2214yescomplemented
59#19128366C2214yes—
60#19128366C2214yes—
61#19128364C2214yes—
62#19128364C2214yes—
63#19128364C2214yescomplemented
64#19128361C2214yes—
65#19128361C2214yes—
66#19128361C2214yescomplemented
67#19128359C2214yes—
68#19128359C2214yes—
69#19128357C2214yescomplemented
70#19128354C2214yes—
71#19128353C2218yes—
72#19128351C2214yes—
73#19128349C2218yes—
74#19128332C2211yescharacteristic
75#19128330C2214yes—
76#19128323C2214yescomplemented
77#19128317C2218yescomplemented
78#19128315C2218yescomplemented
79#19128310C2218yescomplemented
80#19128309C2214yescomplemented
81#19128308C2218yescomplemented
82#19128300C2214yes—
83#19128298C2214yes—
84#19128296C2214yes—
85#19128295C2218yes—
86#19128282C2211yescharacteristic
87#19128278C2214yes—
88#19128275C2212yes—
89#19128273C2218yes—
90#19128257C2214yes—
91#19128255C2212yes—
92#19128255C2212yes—
93#19128255C2214yes—
94#19128255C2218yescomplemented
95#19128255C2214yescomplemented
96#19128254C2212yes—
97#19128254C2218yescomplemented
98#19128253C2214yes—
99#19128250C2214yes—
100#19128248C2212yes—
101#19128248C2212yes—
102#19128248C2214yes—
103#19128247C2212yes—
104#19128246C2214yes—
105#19128238C2212yes—
106#19128238C2212yes—
107#19128238C2214yescomplemented
108#19128236C2214yes—
109#19128235C2214yes—
110#19128234C2218yes—
111#19128234C2218yes—
112#19128233C2212yes—
113#19128233C2212yes—
114#19128231C2214yes—
115#19128231C2214yes—
116#19128231C2218yescomplemented
117#19128230C2214yes—
118#19128229C2214yes—
119#19128229C2214yes—
120#19128229C2218yes—
121#19128229C2218yescomplemented
122#19128228C2218yes—
123#19128214C2214yes—
124#19128213C2212yes—
125#19128211C2214yes—
126#19128210C2214yes—
127#19128210C2214yes—
128#19128209C2218yes—
129#19128208C2212yes—
130#19128184C2212yes—
131#19128181C2212yes—
132#19128181C2214yescomplemented
133#19128180C2218yes—
134#19128180C2214yescomplemented
135#19128178C2212yes—
136#19128178C2214yescomplemented
137#19128177C2214yescomplemented
138C4×#13050591C2214yes—
139C4×#13050590C2212yes—
140C4×#13050590C2214yes—
141C4×#13050590C2214yes—
142C4×#13050590C2214yescomplemented
143#19128169C2218yes—
144C4×#13050589C2218yes—
145C4×#13050589C2214yes—
146C4×#13050589C2214yescomplemented
147C2×Q8×Dic83C2211yescharacteristic
148C2×C4×Dic166C2212yes—
149C2×C4×Dic166C2211yescharacteristic
150C2×C4×Dic166C2214yescomplemented
151C2×#14581757C2211yescharacteristic
152C2×#14581757C2212yes—
153C4×Q8×D83C2214yes—
154C4×Q8×D83C2214yes—
155C4×Q8×D83C2214yes—
156C4×Q8×D83C2214yes—
157C4×Q8×D83C2214yescomplemented
158C2×C4⋊C4×D83C2212yes—
159C2×C4⋊C4×D83C2211yescharacteristic
160C2×C42×D83C2211yescharacteristic
161C2×C42×D83C2212yes—
162#544×C83C2211yescharacteristic
163#542×C83C2214yescomplemented
164#541×C83C2214yescomplemented
165#539×C83C2214yes—
166#537×C83C2211yescharacteristic
167#536×C83C2212yes—
168#533×C83C2214yescomplemented
169#529×C83C2214yes—
170#529×C83C2214yescomplemented
171C4×#41×C83C2212yes—
172C2×C4×Q8×C83C2211yescharacteristic
173#14581839—216no—
174C2×#13050591C2314yes—
175C2×#13050590C2314yes—
176C2×#13050590C2314yes—
177C2×#13050590C2312yes—
178C2×#13050590C2314yes—
179C2×#13050589C2314yes—
180C2×#13050589C2318yes—
181C2×#13050589C2314yes—
182C22×Dic166C2314yes—
183C22×Dic166C2312yes—
184C22×Dic166C2311yescharacteristic
185C2×Q8×D83—28no—
186C2×Q8×D83C2314yes—
187C2×Q8×D83C2314yes—
188C2×Q8×D83C2314yes—
189C22×C4×D83C2311yescharacteristic
190C22×C4×D83C2311yescharacteristic
191C22×C4×D83C2312yes—
192C22×C4×D83C2311yescharacteristic
193C22×C4×D83C2312yes—
194#14581791C2314yes—
195#14581791C2318yes—
196#14581791C2318yes—
197#14581791C2318yes—
198#14581791C2314yes—
199#14581791C2312yes—
200#14581791C2314yes—
201#14581791C2312yes—
202#14581790C2318yes—
203#14581790C2314yes—
204#14581790C2312yes—
205#14581790C2314yes—
206#14581788C2312yes—
207#14581788C2314yes—
208#14581787C2318yes—
209#14581787C2318yes—
210#14581787C2314yes—
211#14581787C2318yes—
212#14581787C2318yes—
213#14581787C2314yes—
214#14581786C2318yes—
215#14581785C2318yes—
216#14581785C2318yes—
217#14581785C2318yes—
218#14581785C2314yes—
219#14581785C2314yes—
220#14581784C2314yes—
221#14581783C2314yes—
222#14581783C2312yes—
223#14581783C2318yes—
224#14581783C2318yes—
225#14581783C2312yes—
226#14581782C2318yes—
227#14581782C2318yes—
228#14581782C2318yes—
229#14581782C2318yes—
230#14581782C2318yes—
231#14581782C2318yes—
232#14581782C2314yes—
233#14581782C2318yes—
234#14581782C2314yes—
235#14581781C2314yes—
236#14581781C2312yes—
237#14581780C2314yes—
238#14581779C2312yes—
239#14581778C2318yes—
240#14581778C2318yes—
241#14581778C2318yes—
242#14581778C2314yes—
243#14581778C2318yes—
244#14581778C2314yes—
245#14581777C2318yes—
246#14581777C2318yes—
247#14581777C2314yes—
248#14581777C2318yes—
249#14581777C2314yes—
250#14581776C2318yes—
251#14581776C2314yes—
252#14581775C2318yes—
253#14581774C2314yes—
254#14581774C2318yes—
255#14581774C2318yes—
256#14581774C2314yes—
257#14581773C2318yes—
258#14581773C2314yes—
259#14581772C2318yes—
260#14581772C2314yes—
261#14581772C2312yes—
262#14581772C2312yes—
263#14581772C2314yes—
264#14581771C2314yes—
265#14581770C2318yes—
266#14581770C2318yes—
267#14581770C2318yes—
268#14581770C2318yes—
269#14581770C2318yes—
270#14581770C2318yes—
271#14581770C2314yes—
272#14581770C2314yes—
273#14581769C2314yes—
274#14581769C2318yes—
275#14581769C2318yes—
276#14581769C2318yes—
277#14581769C2318yes—
278#14581769C2318yes—
279#14581769C2314yes—
280#14581768C2314yes—
281#14581768C2318yes—
282#14581768C2314yes—
283#14581768C2312yes—
284#14581768C2312yes—
285#14581768C2314yes—
286#14581767C2314yes—
287#14581767C2312yes—
288#14581767C2312yes—
289#14581767C2314yes—
290#14581766C2314yes—
291#14581765C2318yes—
292#14581765C2318yes—
293#14581765C2318yes—
294#14581765C2314yes—
295#14581765C2314yes—
296#14581764C2318yes—
297#14581764C2314yes—
298#14581764C2314yes—
299#14581763C2312yes—
300#14581763C2312yes—
301#14581763C2314yes—
302#14581762C2314yes—
303#14581760C2314yes—
304Q8×Dic83C2314yes—
305Q8×Dic83C2314yes—
306Q8×Dic83C2314yes—
307Q8×Dic83C2314yes—
308C4×Dic166C2314yes—
309C4×Dic166C2314yes—
310C4×Dic166C2318yes—
311C4×Dic166C2314yes—
312C4×Dic166C2314yes—
313C4×Dic166C2314yes—
314C4×Dic166C2314yes—
315C4×Dic166C2318yes—
316C4×Dic166C2318yes—
317C4×Dic166C2318yes—
318C4×Dic166C2314yes—
319C4×Dic166C2312yes—
320C4×Dic166C2314yes—
321C4×Dic166C2314yes—
322C4×Dic166C2312yes—
323C4×Dic166C2314yes—
324#14581757C2314yes—
325#14581757C2314yes—
326#14581757C2314yes—
327#14581757C2314yes—
328#14581757C2318yes—
329#14581757C2318yes—
330#14581757C2318yes—
331#14581757C2314yes—
332#14581757C2318yes—
333#14581757C2318yes—
334#14581757C2318yes—
335C4×D332C2312yes—
336C4×D332C2314yes—
337C4×D332C2314yes—
338C4×D332C2314yes—
339C4×D332C2314yes—
340C4×D332C2312yes—
341C4×D332C2314yes—
342C4×D332C2314yes—
343D4×Dic83C2314yes—
344D4×Dic83C2314yes—
345D4×Dic83C2318yes—
346#14581754C2318yes—
347#14581754C2318yes—
348#14581754C2314yes—
349#14581754C2318yes—
350C4×C22⋊D83C2314yes—
351C4×C22⋊D83C2318yes—
352C4×C22⋊D83C2314yes—
353C4×C22⋊D83C2314yes—
354C4×C22⋊D83C2314yes—
355C4×C22⋊D83C2314yes—
356C4×C22⋊D83C2314yes—
357C4×C22⋊D83C2314yes—
358C4×C22⋊D83C2314yes—
359C4×C22⋊D83C2318yes—
360C4×C22⋊D83C2314yes—
361C4×C22⋊D83C2314yes—
362(C22⋊D83)⋊C4C2318yes—
363(C22⋊D83)⋊C4C2318yes—
364(C22⋊D83)⋊C4C2318yes—
365(C22⋊D83)⋊C4C2318yes—
366(C22⋊D83)⋊C4C2318yes—
367(C22⋊D83)⋊C4C2318yes—
368(C22⋊D83)⋊C4C2318yes—
369(C22⋊D83)⋊C4C2318yes—
370#14581751C2312yes—
371#14581751C2314yes—
372#14581751C2314yes—
373#14581751C2314yes—
374#14581750C2314yes—
375#14581750C2318yes—
376#14581750C2314yes—
377#14581750C2314yes—
378#14581750C2318yes—
379#14581749C2314yes—
380#14581749C2314yes—
381#14581749C2318yes—
382#14581749C2314yes—
383#14581749C2314yes—
384#14581749C2318yes—
385#14581749C2314yes—
386#14581748C2318yes—
387#14581748C2318yes—
388#14581748C2318yes—
389#14581748C2318yes—
390C2×C4⋊Dic83C2314yes—
391C2×C4⋊Dic83C2311yescharacteristic
392C2×C4⋊Dic83C2312yes—
393C2×Dic83⋊C4C2312yes—
394C2×Dic83⋊C4C2318yes—
395C2×Dic83⋊C4C2312yes—
396C2×Dic83⋊C4C2312yes—
397C4⋊C4×D83C2318yes—
398C4⋊C4×D83C2314yes—
399C4⋊C4×D83C2318yes—
400C4⋊C4×D83C2314yes—
401C4⋊C4×D83C2318yes—
402C4⋊C4×D83C2314yes—
403C2×C4×Dic83C2311yescharacteristic
404C2×C4×Dic83C2312yes—
405C2×C4×Dic83C2312yes—
406C2×C4×Dic83C2311yescharacteristic
407C2×C4×Dic83C2312yes—
408C2×C4×Dic83C2311yescharacteristic
409C2×C4×Dic83C2318yes—
410C42×D83C2314yes—
411C42×D83C2314yes—
412C42×D83C2312yes—
413C42×D83C2312yes—
414C42×D83C2312yes—
415C42×D83C2312yes—
416C42×D83C2314yes—
417C42×D83C2314yes—
418C42×D83C2318yes—
419C42×D83C2314yes—
420C2×#41×C83C2312yes—
421C22×Q8×C83C2311yescharacteristic
422C4⋊Q8×C83C2314yes—
423C4⋊Q8×C83C2314yes—
424#126×C83C2318yes—
425#126×C83C2318yes—
426#125×C83C2318yes—
427#125×C83C2314yes—
428#125×C83C2314yes—
429#124×C83C2314yes—
430#124×C83C2314yes—
431#123×C83C2318yes—
432#123×C83C2318yes—
433C22⋊Q8×C83C2314yes—
434C22⋊Q8×C83C2318yes—
435C22⋊Q8×C83C2314yes—
436C22⋊Q8×C83C2314yes—
437C22⋊Q8×C83C2314yes—
438#121×C83C2314yes—
439#121×C83C2314yes—
440C4×Q8×C83C2314yes—
441C4×Q8×C83C2314yes—
442C4×Q8×C83C2312yes—
443C4×Q8×C83C2312yes—
444C4×Q8×C83C2314yes—
445C4×D4×C83C2314yes—
446C4×D4×C83C2312yes—
447C4×D4×C83C2314yes—
448C4×D4×C83C2312yes—
449C4×D4×C83C2314yes—
450#117×C83C2312yes—
451#117×C83C2314yes—
452#117×C83C2318yes—
453C2×C4⋊C4×C83C2311yescharacteristic
454C2×C4⋊C4×C83C2312yes—
455C2×C42×C83C2311yescharacteristic
456C2×C42×C83C2312yes—
457C2×C42×C83C2314yes—
458C23×D83C2411yescharacteristic
459#13050591—48no—
460#13050590—28no—
461#13050590—216no—
462#13050590—216no—
463#13050590—48no—
464#13050589—232no—
465#13050589—216no—
466#13050589—48no—
467C2×Dic166—28no—
468C2×Dic166—216no—
469C2×Dic166#4118yescomplemented
470C2×Dic166C2418yes—
471C2×Dic166C2418yes—
472C2×Dic166C2414yes—
473C2×Dic166C2412yes—
474C2×Dic166C2414yes—
475C2×Dic166C2414yes—
476C2×Dic166C2414yes—
477Q8×D83—216no—
478Q8×D83—216no—
479Q8×D83—216no—
480C2×D332C2414yes—
481C2×D332C2414yes—
482C2×D332C2412yes—
483C2×D332C2414yes—
484C2×C22⋊D83C2414yes—
485C2×C22⋊D83C2414yes—
486C2×C22⋊D83C2414yes—
487C2×C22⋊D83C2418yes—
488C2×C22⋊D83C2414yes—
489C2×C22⋊D83C2414yes—
490C22×Dic83C2411yescharacteristic
491C22×Dic83C2418yes—
492C22×Dic83C2411yescharacteristic
493C22×Dic83C2411yescharacteristic
494C22×Dic83C2418yes—
495C22×Dic83C2412yes—
496C22×Dic83C2412yes—
497C2×C4×D83—24no—
498C2×C4×D83—28no—
499C2×C4×D83—24no—
500C2×C4×D83—44no—
501C2×C4×D83—42no—
502C2×C4×D83C2412yes—
503C2×C4×D83C2412yes—
504C2×C4×D83C2411yescharacteristic
505C2×C4×D83C2414yes—
506C2×C4×D83C2414yes—
507C2×C4×D83C2418yes—
508C2×C4×D83C2414yes—
509C2×C4×D83C2411yescharacteristic
510C2×C4×D83C2414yes—
511C2×C4×D83C2412yes—
512C2×C4×D83C2411yescharacteristic
513C2×C4×D83C2414yes—
514C2×C4×D83C2414yes—
515C2×C4×D83C2412yes—
516C2×C4×D83C2418yes—
517C2×C4×D83C2414yes—
518C2×C4×D83C2411yescharacteristic
519C4⋊Dic83C2412yes—
520C4⋊Dic83C2412yes—
521C4⋊Dic83C2414yes—
522C4⋊Dic83C2414yes—
523C4⋊Dic83C2414yes—
524C4⋊Dic83C2414yes—
525C4⋊Dic83C2418yes—
526C4⋊Dic83C2418yes—
527C4⋊Dic83C2414yes—
528C4⋊Dic83C2414yes—
529C4⋊Dic83C2414yes—
530Dic83⋊C4C2418yes—
531Dic83⋊C4C2414yes—
532Dic83⋊C4C2414yes—
533Dic83⋊C4C2418yes—
534Dic83⋊C4C2418yes—
535Dic83⋊C4C2414yes—
536Dic83⋊C4C2414yes—
537Dic83⋊C4C2418yes—
538Dic83⋊C4C2414yes—
539Dic83⋊C4C2418yes—
540Dic83⋊C4C2418yes—
541Dic83⋊C4C2418yes—
542Dic83⋊C4C2414yes—
543Dic83⋊C4C2414yes—
544Dic83⋊C4C2414yes—
545Dic83⋊C4C2414yes—
546Dic83⋊C4C2414yes—
547Dic83⋊C4C2418yes—
548Dic83⋊C4C2418yes—
549C22⋊Dic83C2414yes—
550C22⋊Dic83C2414yes—
551C22⋊Dic83C2414yes—
552C22⋊Dic83C2418yes—
553C22⋊Dic83C2414yes—
554C22⋊Dic83C2414yes—
555(C2×D83)⋊C4C2414yes—
556(C2×D83)⋊C4C2414yes—
557(C2×D83)⋊C4C2414yes—
558(C2×D83)⋊C4C2414yes—
559(C2×D83)⋊C4C2414yes—
560(C2×D83)⋊C4C2418yes—
561(C2×D83)⋊C4C2414yes—
562(C2×D83)⋊C4C2418yes—
563(C2×D83)⋊C4C2418yes—
564(C2×D83)⋊C4C2414yes—
565(C2×D83)⋊C4C2414yes—
566(C2×D83)⋊C4C2414yes—
567(C2×D83)⋊C4C2414yes—
568(C2×D83)⋊C4C2418yes—
569C4×Dic83C2412yes—
570C4×Dic83C2414yes—
571C4×Dic83C2412yes—
572C4×Dic83C2414yes—
573C4×Dic83C2418yes—
574C4×Dic83C2418yes—
575C4×Dic83C2412yes—
576C4×Dic83C2414yes—
577C4×Dic83C2418yes—
578C4×Dic83C2414yes—
579C4×Dic83C2418yes—
580C4×Dic83C2414yes—
581C4×Dic83C2412yes—
582C4×Dic83C2414yes—
583C4×Dic83C2412yes—
584C4×Dic83C2414yes—
585C4×Dic83C2414yes—
586C4×Dic83C2412yes—
587C4×Dic83C2414yes—
588#41×C83—28no—
589C2×Q8×C83—24no—
590C2×Q8×C83C2414yes—
591C2×Q8×C83C2412yes—
592C2×Q8×C83C2414yes—
593C2×D4×C83C2414yes—
594C2×D4×C83C2412yes—
595C2×D4×C83C2414yes—
596C22×C4×C83C2412yes—
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2414yes—
599C22×C4×C83C2414yes—
600C22×C4×C83C2412yes—
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2414yes—
603C22×C4×C83C2411yescharacteristic
604C4⋊C4×C83C2414yes—
605C4⋊C4×C83C2412yes—
606C4⋊C4×C83C2412yes—
607C4⋊C4×C83C2414yes—
608C4⋊C4×C83C2414yes—
609C4⋊C4×C83C2418yes—
610C4⋊C4×C83C2418yes—
611C4⋊C4×C83C2418yes—
612C4⋊C4×C83C2414yes—
613C4⋊C4×C83C2414yes—
614C4⋊C4×C83C2418yes—
615C22⋊C4×C83C2414yes—
616C22⋊C4×C83C2418yes—
617C22⋊C4×C83C2418yes—
618C22⋊C4×C83C2418yes—
619C22⋊C4×C83C2414yes—
620C22⋊C4×C83C2414yes—
621C42×C83C2414yes—
622C42×C83C2412yes—
623C42×C83C2412yes—
624C42×C83C2414yes—
625C42×C83C2414yes—
626C42×C83C2414yes—
627C42×C83C2414yes—
628C23×C83C2514yes—
629C23×C83C2511yescharacteristic
630C22×D83—22no—
631C22×D83—22no—
632C22×D83—22no—
633C22×D83C2514yes—
634C22×D83C2511yescharacteristic
635C22×D83C2511yescharacteristic
636Q8×C83—28no—
637Q8×C83—24no—
638Q8×C83—44no—
639D4×C83—28no—
640D4×C83—24no—
641D4×C83—44no—
642C2×C4×C83—24no—
643C2×C4×C83—28no—
644C2×C4×C83—22no—
645C2×C4×C83—28no—
646C2×C4×C83—42no—
647C2×C4×C83—41no—
648C2×C4×C83—44no—
649C2×C4×C83C2×#4114yes—
650C2×C4×C83C2511yescharacteristic
651C2×C4×C83C2512yes—
652C2×C4×C83C2514yes—
653C2×C4×C83C2514yes—
654C2×C4×C83C2514yes—
655C2×C4×C83C2514yes—
656C2×C4×C83C2514yes—
657C2×C4×C83C2512yes—
658C2×C4×C83C2511yescharacteristic
659C22⋊D83—28no—
660C22⋊D83—28no—
661C22⋊D83—28no—
662C22⋊D83—216no—
663C22⋊D83—28no—
664C22⋊D83—44no—
665C2×Dic83—22no—
666C2×Dic83—216no—
667C2×Dic83—22no—
668C2×Dic83—41no—
669C2×Dic83—42no—
670C2×Dic83—48no—
671C2×Dic83C2×#4118yes—
672C2×Dic83C2511yescharacteristic
673C2×Dic83C2514yes—
674C2×Dic83C2514yes—
675C2×Dic83C2512yes—
676C2×Dic83C2514yes—
677C2×Dic83C2514yes—
678C2×Dic83C2512yes—
679C2×Dic83C2514yes—
680C2×Dic83C2511yescharacteristic
681D332—28no—
682D332—28no—
683D332—24no—
684D332—44no—
685C4×D83—22no—
686C4×D83—28no—
687C4×D83—24no—
688C4×D83—24no—
689C4×D83—24no—
690C4×D83—28no—
691C4×D83—22no—
692C4×D83—28no—
693C4×D83—28no—
694C4×D83—28no—
695C4×D83—216no—
696C4×D83—22no—
697C4×D83—42no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—48no—
701C4×D832−1+414yescomplemented
702Dic166—24no—
703Dic166—216no—
704Dic166—216no—
705Dic166—28no—
706Dic166—44no—
707Dic166—44no—
708Dic166C2×#41116yes—
709C22×C83—21no—
710C22×C83—21no—
711C22×C83—24no—
712C22×C83—24no—
713C22×C83—24no—
714C22×C83C22×#4112yes—
715C22×C83C2611yescharacteristic
716C2×D83—28no—
717C2×D83—21no—
718C2×D83—21no—
719C2×D83—21no—
720C2×D83—21no—
721C2×D83—24no—
722C2×D83—24no—
723C2×D83—24no—
724C2×D83C2×2−1+412yes—
725C2×D83#58512yes—
726C4×C83—24no—
727C4×C83—24no—
728C4×C83—24no—
729C4×C83—21no—
730C4×C83—24no—
731C4×C83—24no—
732C4×C83—22no—
733C4×C83C22×#4114yes—
734C4×C83C2×2−1+412yes—
735Dic83—22no—
736Dic83—24no—
737Dic83—24no—
738Dic83—21no—
739Dic83—24no—
740Dic83—22no—
741Dic83—24no—
742Dic83C22×#4118yes—
743Dic83C2×2−1+412yes—
744#62788—831nomaximal, Sylow
745C2×C83—22no—
746C2×C83—44no—
747C2×C83C23×#4111yescharacteristic
748C2×C83C22×2−1+411yescharacteristic
749C2×C83C2×#58511yescharacteristic
750D83—22no—
751D83—22no—
752D83—44no—
753#3523—834no—
754#3522—834no—
755#3516—834no—
756#3516—834no—
757#3507—834no—
758#3507—832no—
759#3502—831no—
760#3497—831no—
761#3492—831no—
762#3492—834no—
763#3492—831no—
764#3486—832no—
765#3482—834no—
766#3482—834no—
767#3480—834no—
768Q8×#41—834no—
769#3461—834no—
770#3461—831no—
771#3461D8311yescharacteristic, complemented
772#3444—834no—
773#3444—832no—
774C4×2−1+4—832no—
775C22×C4×Q8—831no—
776C83#6278811yescharacteristic, complemented, Sylow
777C2×2−1+4—832no—
778C23×Q8—831no—
779#559—834no—
780#559—838no—
781Q82—834no—
782#557—834no—
783#557—834no—
784#557—838no—
785#557—834no—
786#557—834no—
787#556—834no—
788#556—838no—
789#556—838no—
790#556—834no—
791#556—834no—
792#556—838no—
793#554—834no—
794#554—838no—
795#554—838no—
796#554—838no—
797#554—834no—
798#554—834no—
799#553—838no—
800#553—834no—
801#553—838no—
802#553—834no—
803#552—838no—
804#552—838no—
805#552—838no—
806#552—834no—
807#552—838no—
808#552—834no—
809#552—834no—
810#552—834no—
811#550—834no—
812D4×Q8—834no—
813D4×Q8—834no—
814D4×Q8—834no—
815D4×Q8—834no—
816D4×Q8—834no—
817#548—834no—
818#548—834no—
819#548—834no—
820#548—834no—
821#548—834no—
822#548—834no—
823#547—834no—
824#547—838no—
825#547—838no—
826#547—834no—
827#544—834no—
828#544—831no—
829#544C2×D8311yescharacteristic
830#542—838no—
831#542—838no—
832#542—834no—
833#542C2×D8314yescomplemented
834#541—838no—
835#541—838no—
836#541—834no—
837#541C2×D8314yescomplemented
838#539—838no—
839#539—834no—
840#539—834no—
841#539—834no—
842#539C2×D8314yes—
843#537—834no—
844#537—831no—
845#537C2×D8311yescharacteristic
846#536—832no—
847#536—838no—
848#536C2×D8312yes—
849#533—834no—
850#533—834no—
851#533—834no—
852#533—832no—
853#533—832no—
854#533—838no—
855#533—834no—
856#533—832no—
857#533—838no—
858#533C2×D8314yescomplemented
859#532—832no—
860#532—834no—
861#532—834no—
862#532—834no—
863#532—832no—
864#532—832no—
865#529—838no—
866#529—838no—
867#529—834no—
868#529—834no—
869#529—838no—
870#529—832no—
871#529—832no—
872#529—834no—
873#529—834no—
874#529—832no—
875#529—834no—
876#529—832no—
877#529—838no—
878#529—838no—
879#529—834no—
880#529—834no—
881#529—838no—
882#529—834no—
883#529C2×D8314yes—
884#529C2×D8314yescomplemented
885#525—832no—
886#525—838no—
887#525—834no—
888#525—834no—
889#525—834no—
890#525—834no—
891#525—832no—
892#520—832no—
893#520—838no—
894#520—834no—
895#520—832no—
896#520—834no—
897#519—834no—
898#519—832no—
899#519—834no—
900C4×#41—834no—
901C4×#41—838no—
902C4×#41—834no—
903C4×#41—834no—
904C4×#41—838no—
905C4×#41—832no—
906C4×#41—834no—
907C4×#41—834no—
908C4×#41—834no—
909C4×#41C2×D8312yes—
910C2×C4×Q8—831no—
911C2×C4×Q8—834no—
912C2×C4×Q8—834no—
913C2×C4×Q8—834no—
914C2×C4×Q8—834no—
915C2×C4×Q8—834no—
916C2×C4×Q8—831no—
917C2×C4×Q8—832no—
918C2×C4×Q8—831no—
919C2×C4×Q8—832no—
920C2×C4×Q8—834no—
921C2×C4×Q8C2×D8311yescharacteristic
922C22×C4⋊C4—832no—
923C22×C4⋊C4—831no—
924C22×C42—832no—
925C22×C42—831no—
9262−1+4—16616no—
927C2×#41—834no—
928C2×#41—834no—
929C2×#41—838no—
930C2×#41—834no—
931C2×#41—834no—
932C2×#41—834no—
933C2×#41—832no—
934C2×#41—834no—
935C2×#41C22×D8312yes—
936C22×Q8—834no—
937C22×Q8—834no—
938C22×Q8—834no—
939C22×Q8—831no—
940C22×Q8—832no—
941C22×Q8—834no—
942C22×Q8—1668no—
943C22×Q8C22×D8311yescharacteristic
944C23×C4—832no—
945C23×C4—831no—
946C23×C4—832no—
947C23×C4—831no—
948C23×C4—831no—
949C4⋊Q8—832no—
950C4⋊Q8—834no—
951C4⋊Q8—834no—
952C4⋊Q8—838no—
953C4⋊Q8—834no—
954C4⋊Q8—832no—
955C4⋊Q8—834no—
956C4⋊Q8—832no—
957C4⋊Q8—838no—
958C4⋊Q8—838no—
959C4⋊Q8—838no—
960C4⋊Q8—834no—
961C4⋊Q8C22×D8314yes—
962C4⋊Q8C22×D8314yes—
963#127—832no—
964#127—834no—
965#126—834no—
966#126—838no—
967#126—834no—
968#126—838no—
969#126—838no—
970#126—838no—
971#126—834no—
972#126—838no—
973#126—834no—
974#126—838no—
975#126—838no—
976#126—838no—
977#126C22×D8318yes—
978#126C22×D8318yes—
979#125—834no—
980#125—838no—
981#125—838no—
982#125—834no—
983#125—832no—
984#125—832no—
985#125—838no—
986#125—838no—
987#125—834no—
988#125—838no—
989#125—838no—
990#125—838no—
991#125—838no—
992#125—838no—
993#125—834no—
994#125C22×D8314yes—
995#125C22×D8314yes—
996#125C22×D8318yes—
997#124—832no—
998#124—834no—
999#124—832no—
1000#124—834no—
1001#124—838no—
1002#124—838no—
1003#124—834no—
1004#124—838no—
1005#124—838no—
1006#124—834no—
1007#124C22×D8314yes—
1008#124C22×D8314yes—
1009#123—834no—
1010#123—838no—
1011#123—838no—
1012#123—834no—
1013#123—838no—
1014#123—834no—
1015#123—838no—
1016#123—838no—
1017#123—834no—
1018#123—838no—
1019#123—834no—
1020#123—834no—
1021#123—838no—
1022#123—838no—
1023#123C22×D8318yes—
1024#123C22×D8318yes—
1025C22⋊Q8—832no—
1026C22⋊Q8—832no—
1027C22⋊Q8—834no—
1028C22⋊Q8—834no—
1029C22⋊Q8—834no—
1030C22⋊Q8—838no—
1031C22⋊Q8—834no—
1032C22⋊Q8—834no—
1033C22⋊Q8—838no—
1034C22⋊Q8—838no—
1035C22⋊Q8—834no—
1036C22⋊Q8—838no—
1037C22⋊Q8—838no—
1038C22⋊Q8—838no—
1039C22⋊Q8—838no—
1040C22⋊Q8—832no—
1041C22⋊Q8—832no—
1042C22⋊Q8—834no—
1043C22⋊Q8—834no—
1044C22⋊Q8—838no—
1045C22⋊Q8—834no—
1046C22⋊Q8—834no—
1047C22⋊Q8—838no—
1048C22⋊Q8—838no—
1049C22⋊Q8—838no—
1050C22⋊Q8—838no—
1051C22⋊Q8—838no—
1052C22⋊Q8C22×D8314yes—
1053C22⋊Q8C22×D8314yes—
1054C22⋊Q8C22×D8314yes—
1055C22⋊Q8C22×D8314yes—
1056C22⋊Q8C22×D8318yes—
1057#121—832no—
1058#121—832no—
1059#121—834no—
1060#121—834no—
1061#121—834no—
1062#121—838no—
1063#121—834no—
1064#121—832no—
1065#121—832no—
1066#121—834no—
1067#121—834no—
1068#121—834no—
1069#121—838no—
1070#121—838no—
1071#121—834no—
1072#121—838no—
1073#121C22×D8314yes—
1074#121C22×D8314yes—
1075#120—834no—
1076#120—834no—
1077C4×Q8—834no—
1078C4×Q8—834no—
1079C4×Q8—834no—
1080C4×Q8—834no—
1081C4×Q8—834no—
1082C4×Q8—834no—
1083C4×Q8—838no—
1084C4×Q8—838no—
1085C4×Q8—834no—
1086C4×Q8—838no—
1087C4×Q8—838no—
1088C4×Q8—834no—
1089C4×Q8—838no—
1090C4×Q8—834no—
1091C4×Q8—838no—
1092C4×Q8—834no—
1093C4×Q8—834no—
1094C4×Q8—838no—
1095C4×Q8—838no—
1096C4×Q8—838no—
1097C4×Q8—832no—
1098C4×Q8—834no—
1099C4×Q8—834no—
1100C4×Q8—838no—
1101C4×Q8—832no—
1102C4×Q8—834no—
1103C4×Q8—834no—
1104C4×Q8—834no—
1105C4×Q8—834no—
1106C4×Q8—834no—
1107C4×Q8—834no—
1108C4×Q8C22×D8314yes—
1109C4×Q8C22×D8314yes—
1110C4×Q8C22×D8312yes—
1111C4×Q8C22×D8314yes—
1112C4×Q8C22×D8312yes—
1113C4×D4—838no—
1114C4×D4—834no—
1115C4×D4—834no—
1116C4×D4—834no—
1117C4×D4—834no—
1118C4×D4—838no—
1119C4×D4—834no—
1120C4×D4—838no—
1121C4×D4—834no—
1122C4×D4—834no—
1123C4×D4—834no—
1124C4×D4—834no—
1125C4×D4—834no—
1126C4×D4—834no—
1127C4×D4—834no—
1128C4×D4—838no—
1129C4×D4—838no—
1130C4×D4—838no—
1131C4×D4—834no—
1132C4×D4—838no—
1133C4×D4—838no—
1134C4×D4—838no—
1135C4×D4—838no—
1136C4×D4—838no—
1137C4×D4—838no—
1138C4×D4—838no—
1139C4×D4—838no—
1140C4×D4—834no—
1141C4×D4—832no—
1142C4×D4—832no—
1143C4×D4—834no—
1144C4×D4—834no—
1145C4×D4—834no—
1146C4×D4—834no—
1147C4×D4—834no—
1148C4×D4C22×D8314yes—
1149C4×D4C22×D8312yes—
1150C4×D4C22×D8314yes—
1151C4×D4C22×D8314yes—
1152C4×D4C22×D8312yes—
1153#117—832no—
1154#117—834no—
1155#117—834no—
1156#117—834no—
1157#117—838no—
1158#117—834no—
1159#117—834no—
1160#117—834no—
1161#117—838no—
1162#117—838no—
1163#117—838no—
1164#117—838no—
1165#117—838no—
1166#117—834no—
1167#117—834no—
1168#117—838no—
1169#117—834no—
1170#117—838no—
1171#117—834no—
1172#117—834no—
1173#117C22×D8318yes—
1174#117C22×D8312yes—
1175#117C22×D8314yes—
1176C2×C4⋊C4—832no—
1177C2×C4⋊C4—831no—
1178C2×C4⋊C4—832no—
1179C2×C4⋊C4—832no—
1180C2×C4⋊C4—832no—
1181C2×C4⋊C4—838no—
1182C2×C4⋊C4—834no—
1183C2×C4⋊C4—838no—
1184C2×C4⋊C4—834no—
1185C2×C4⋊C4—838no—
1186C2×C4⋊C4—834no—
1187C2×C4⋊C4—838no—
1188C2×C4⋊C4—834no—
1189C2×C4⋊C4C22×D8311yescharacteristic
1190C2×C4⋊C4C22×D8312yes—
1191C2×C42—832no—
1192C2×C42—832no—
1193C2×C42—831no—
1194C2×C42—831no—
1195C2×C42—831no—
1196C2×C42—832no—
1197C2×C42—838no—
1198C2×C42—834no—
1199C2×C42—832no—
1200C2×C42—834no—
1201C2×C42—832no—
1202C2×C42—834no—
1203C2×C42—832no—
1204C2×C42—834no—
1205C2×C42—832no—
1206C2×C42—838no—
1207C2×C42—834no—
1208C2×C42C22×D8311yescharacteristic
1209C2×C42C22×D8312yes—
1210C2×C42C22×D8314yes—
1211C24—831no—
1212#41—28no—
1213#41—3328no—
1214#41—3328no—
1215#41—3328no—
1216#41—16616no—
1217#41—16616no—
1218#41—16632no—
1219#41—16616no—
1220#41—1668no—
1221C2×Q8—24no—
1222C2×Q8—838no—
1223C2×Q8—834no—
1224C2×Q8—834no—
1225C2×Q8—834no—
1226C2×Q8—834no—
1227C2×Q8—838no—
1228C2×Q8—838no—
1229C2×Q8—832no—
1230C2×Q8—1668no—
1231C2×Q8—16616no—
1232C2×Q8—16616no—
1233C2×Q8—16616no—
1234C2×Q8—16616no—
1235C2×Q8C23×D8314yes—
1236C2×Q8C23×D8312yes—
1237C2×Q8C23×D8314yes—
1238C2×D4—834no—
1239C2×D4—834no—
1240C2×D4—834no—
1241C2×D4—834no—
1242C2×D4—834no—
1243C2×D4—838no—
1244C2×D4—834no—
1245C2×D4—834no—
1246C2×D4—834no—
1247C2×D4—832no—
1248C2×D4C23×D8314yes—
1249C2×D4C23×D8312yes—
1250C2×D4C23×D8314yes—
1251C22×C4—3322no—
1252C22×C4—3324no—
1253C22×C4—832no—
1254C22×C4—831no—
1255C22×C4—838no—
1256C22×C4—834no—
1257C22×C4—832no—
1258C22×C4—838no—
1259C22×C4—834no—
1260C22×C4—832no—
1261C22×C4—831no—
1262C22×C4—831no—
1263C22×C4—831no—
1264C22×C4—838no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—834no—
1268C22×C4—832no—
1269C22×C4—834no—
1270C22×C4—834no—
1271C22×C4—832no—
1272C22×C4—832no—
1273C22×C4—838no—
1274C22×C4—834no—
1275C22×C4—831no—
1276C22×C4—834no—
1277C22×C4—1668no—
1278C22×C4—1664no—
1279C22×C4—1664no—
1280C22×C4C23×D8312yes—
1281C22×C4C23×D8314yes—
1282C22×C4C23×D8311yescharacteristic
1283C22×C4C23×D8314yes—
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8312yes—
1286C22×C4C23×D8314yes—
1287C22×C4C23×D8311yescharacteristic
1288C4⋊C4—838no—
1289C4⋊C4—834no—
1290C4⋊C4—838no—
1291C4⋊C4—838no—
1292C4⋊C4—838no—
1293C4⋊C4—838no—
1294C4⋊C4—832no—
1295C4⋊C4—838no—
1296C4⋊C4—834no—
1297C4⋊C4—838no—
1298C4⋊C4—838no—
1299C4⋊C4—832no—
1300C4⋊C4—834no—
1301C4⋊C4—834no—
1302C4⋊C4—834no—
1303C4⋊C4—834no—
1304C4⋊C4—834no—
1305C4⋊C4—834no—
1306C4⋊C4—834no—
1307C4⋊C4—834no—
1308C4⋊C4—834no—
1309C4⋊C4—834no—
1310C4⋊C4—838no—
1311C4⋊C4—834no—
1312C4⋊C4—834no—
1313C4⋊C4—838no—
1314C4⋊C4—834no—
1315C4⋊C4—838no—
1316C4⋊C4—834no—
1317C4⋊C4—834no—
1318C4⋊C4C23×D8314yes—
1319C4⋊C4C23×D8318yes—
1320C4⋊C4C23×D8312yes—
1321C4⋊C4C23×D8314yes—
1322C4⋊C4C23×D8312yes—
1323C4⋊C4C23×D8314yes—
1324C4⋊C4C23×D8314yes—
1325C4⋊C4C23×D8318yes—
1326C4⋊C4C23×D8314yes—
1327C4⋊C4C23×D8318yes—
1328C4⋊C4C23×D8318yes—
1329C22⋊C4—834no—
1330C22⋊C4—838no—
1331C22⋊C4—834no—
1332C22⋊C4—834no—
1333C22⋊C4—834no—
1334C22⋊C4—834no—
1335C22⋊C4—834no—
1336C22⋊C4—834no—
1337C22⋊C4—838no—
1338C22⋊C4—834no—
1339C22⋊C4—834no—
1340C22⋊C4—834no—
1341C22⋊C4—834no—
1342C22⋊C4—834no—
1343C22⋊C4—838no—
1344C22⋊C4—834no—
1345C22⋊C4—834no—
1346C22⋊C4—838no—
1347C22⋊C4—838no—
1348C22⋊C4—834no—
1349C22⋊C4C23×D8314yes—
1350C22⋊C4C23×D8314yes—
1351C22⋊C4C23×D8314yes—
1352C22⋊C4C23×D8318yes—
1353C22⋊C4C23×D8318yes—
1354C22⋊C4C23×D8318yes—
1355C42—834no—
1356C42—834no—
1357C42—832no—
1358C42—834no—
1359C42—832no—
1360C42—834no—
1361C42—832no—
1362C42—834no—
1363C42—832no—
1364C42—832no—
1365C42—838no—
1366C42—838no—
1367C42—834no—
1368C42—838no—
1369C42—838no—
1370C42—834no—
1371C42—834no—
1372C42—832no—
1373C42—834no—
1374C42C23×D8312yes—
1375C42C23×D8314yes—
1376C42C23×D8314yes—
1377C42C23×D8314yes—
1378C42C23×D8312yes—
1379C42C23×D8314yes—
1380C42C23×D8314yes—
1381C23—831no—
1382C23—831no—
1383C23—834no—
1384C23—1662no—
1385C23—1662no—
1386C23—1662no—
1387C23C24×D8314yes—
1388C23C24×D8311yescharacteristic
1389Q8—28no—
1390Q8—24no—
1391Q8—44no—
1392Q8—3324no—
1393Q8—3324no—
1394Q8—8316no—
1395Q8—16616no—
1396Q8—16616no—
1397Q8—1668no—
1398Q8—1664no—
1399D4—28no—
1400D4—24no—
1401D4—44no—
1402D4—3324no—
1403D4—3324no—
1404D4—1668no—
1405D4—1668no—
1406D4—16616no—
1407D4—1668no—
1408D4—1668no—
1409D4—1668no—
1410D4—1668no—
1411D4—1664no—
1412C2×C4—24no—
1413C2×C4—28no—
1414C2×C4—22no—
1415C2×C4—28no—
1416C2×C4—41no—
1417C2×C4—42no—
1418C2×C4—44no—
1419C2×C4—3322no—
1420C2×C4—3324no—
1421C2×C4—3324no—
1422C2×C4—3328no—
1423C2×C4—3322no—
1424C2×C4—3321no—
1425C2×C4—3328no—
1426C2×C4—838no—
1427C2×C4—831no—
1428C2×C4—834no—
1429C2×C4—834no—
1430C2×C4—831no—
1431C2×C4—834no—
1432C2×C4—834no—
1433C2×C4—832no—
1434C2×C4—834no—
1435C2×C4—834no—
1436C2×C4—832no—
1437C2×C4—1668no—
1438C2×C4—1668no—
1439C2×C4—1662no—
1440C2×C4—16616no—
1441C2×C4—1664no—
1442C2×C4—1668no—
1443C2×C4—1662no—
1444C2×C4—1662no—
1445C2×C4—16616no—
1446C2×C4—1662no—
1447C2×C4—1664no—
1448C2×C4—1664no—
1449C2×C4—1668no—
1450C2×C4—1662no—
1451C2×C4—1668no—
1452C2×C4#41×D8314yes—
1453C2×C4C24×D8311yescharacteristic
1454C2×C4C24×D8312yes—
1455C2×C4C24×D8314yes—
1456C2×C4C24×D8314yes—
1457C2×C4C24×D8314yes—
1458C2×C4C24×D8314yes—
1459C2×C4C24×D8314yes—
1460C2×C4C24×D8312yes—
1461C2×C4C24×D8311yescharacteristic
1462C22—21no—
1463C22—21no—
1464C22—24no—
1465C22—24no—
1466C22—24no—
1467C22—832no—
1468C22—832no—
1469C22—1668no—
1470C22—1664no—
1471C22—1664no—
1472C22—1664no—
1473C22—1661no—
1474C22—1661no—
1475C22—1661no—
1476C22—1661no—
1477C22C2×#41×D8312yes—
1478C22C25×D8311yescharacteristic
1479C4—24no—
1480C4—24no—
1481C4—21no—
1482C4—24no—
1483C4—22no—
1484C4—24no—
1485C4—24no—
1486C4—838no—
1487C4—832no—
1488C4—1664no—
1489C4—1662no—
1490C4—1661no—
1491C4—1664no—
1492C4—1664no—
1493C4—1664no—
1494C4—1662no—
1495C4C2×#41×D8314yes—
1496C42−1+4×D8312yes—
1497C2—22no—
1498C2—44no—
1499C2—3324no—
1500C2—1662no—
1501C2—1662no—
1502C2C22×#41×D8311yescharacteristic
1503C2C2×2−1+4×D8311yescharacteristic
1504C2#585×D8311yescharacteristic
subgroupG/H
centerC2×C4C24×D83
commutator, socle, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC83×#3461C2
hypercenter#3461D83
hypocenterC83#62788
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #24921555C2semidirect
2. #24921544C2semidirect
3. #24921454C2semidirect
4. #24921450C2semidirect
5. #24921327C2semidirect
6. #24921323C2semidirect
7. #24921271C2semidirect
8. #24921232C2semidirect
9. #24921173C2semidirect
10. #24921170C2semidirect
11. #24921168C2semidirect
12. #24921112C2semidirect
13. #24921081C2semidirect
14. #24921076C2semidirect
15. #24921054C2semidirect
16. #24921041C2semidirect
17. #24920896C2semidirect
18. #24920892C2semidirect
19. #24920757C2semidirect
20. #24920756C2semidirect
21. C4×#14581839C2semidirect
22. C2×C4×Q8×D83C2semidirect
23. C83×#3461C2semidirect
26. #19128435C22semidirect
27. #19128433C22semidirect
28. #19128431C22semidirect
29. #19128428C22semidirect
30. #19128428C22semidirect
31. #19128428C22semidirect
32. #19128426C22semidirect
33. #19128426C22semidirect
34. #19128425C22semidirect
35. #19128422C22semidirect
36. #19128422C22semidirect
37. #19128420C22semidirect
38. #19128418C22semidirect
39. #19128418C22semidirect
42. #19128409C22semidirect
45. #19128405C22semidirect
50. #19128393C22semidirect
52. #19128388C22semidirect
55. #19128385C22semidirect
57. #19128383C22semidirect
58. #19128369C22semidirect
63. #19128364C22semidirect
66. #19128361C22semidirect
69. #19128357C22semidirect
76. #19128323C22semidirect
77. #19128317C22semidirect
78. #19128315C22semidirect
79. #19128310C22semidirect
80. #19128309C22semidirect
81. #19128308C22semidirect
94. #19128255C22semidirect
95. #19128255C22semidirect
97. #19128254C22semidirect
107. #19128238C22semidirect
116. #19128231C22semidirect
121. #19128229C22semidirect
132. #19128181C22semidirect
134. #19128180C22semidirect
136. #19128178C22semidirect
137. #19128177C22semidirect
142. C4×#13050590C22semidirect
146. C4×#13050589C22semidirect
150. C2×C4×Dic166C22semidirect
157. C4×Q8×D83C22semidirect
163. #542×C83C22semidirect
164. #541×C83C22semidirect
168. #533×C83C22semidirect
170. #529×C83C22semidirect
469. C2×Dic166#41semidirect
701. C4×D832−1+4semidirect
771. #3461D83semidirect
776. C83#62788semidirect
833. #542C2×D83semidirect
837. #541C2×D83semidirect
858. #533C2×D83semidirect
884. #529C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215552
#249215442
#249214542
#249214502
#249213272
#249213232
#249212712
#249212322
#249211732
#249211702
#249211682
#249211122
#249210812
#249210762
#249210542
#249210412
#249208962
#249208922
#249207572
#249207562
C4×#145818392
C2×C4×Q8×D832
C83×#34612
#6278883