Finite Group Databasebeta

← #7632630

Subgroups — #7632630

Order 512.

22901 conjugacy classes of subgroups.

The subgroup lattice has 1415 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#585C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3C2×#3488C211yesmaximal, characteristic, complemented
4C2×D4×#41C211yesmaximal, characteristic, complemented
5#36429C212yesmaximal, complemented
6#36428C212yesmaximal, complemented
7#36213C216yesmaximal, complemented
8#36212C216yesmaximal, complemented
9#35757C212yesmaximal, complemented
10#35750C216yesmaximal, complemented
11#35687C212yesmaximal, complemented
12#35680C216yesmaximal, complemented
13#35660C213yesmaximal, complemented
14#35659C213yesmaximal, complemented
15#35513C213yesmaximal, complemented
16#35512C213yesmaximal, complemented
17#35251C213yesmaximal, complemented
18#35149C213yesmaximal, complemented
19#34736C213yesmaximal, complemented
20C2×#2407C213yesmaximal, complemented
21#34259C211yesmaximal, characteristic, complemented
22#34258C211yesmaximal, characteristic, complemented
23#34175C211yesmaximal, characteristic, complemented
24C2×#585—216no—
25C2×#585—216no—
26C2×#585—216no—
27C22×2−1+4C2211yescharacteristic
28C22×2−1+4C2213yescomplemented
29C22×2−1+4C2212yescomplemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C22×H(5,𝔽2)C2216yescomplemented
32C22×H(5,𝔽2)C2213yescomplemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic, complemented
35C23×#41C2212yescomplemented
36C23×#41C2213yescomplemented
37C23×#41C2216yescomplemented
38C23×#41C2213yescomplemented
39#3489—216no—
40#3488—216no—
41D4×#41—216no—
42C2×#550C2212yescomplemented
43C2×#550C2211yescharacteristic, complemented
44C2×D4×Q8C2212yescomplemented
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×#548C2212yescomplemented
47C2×#548C2211yescharacteristic, complemented
48C2×#548C2212yescomplemented
49C2×#548C2211yescharacteristic, complemented
50C2×#547C2216yescomplemented
51C2×#547C2213yescomplemented
52C2×#546C2216yescomplemented
53C2×#546C2216yescomplemented
54C2×#546C2213yescomplemented
55C2×#546C2213yescomplemented
56C2×D42C2216yescomplemented
57C2×D42C2213yescomplemented
58C2×#537C2213yescomplemented
59C2×#537C2213yescomplemented
60C2×#536C2213yescomplemented
61C2×#535C2213yescomplemented
62C2×#532C2213yescomplemented
63C2×#525C2213yescomplemented
64C2×#525C2213yescomplemented
65C2×#525C2213yescomplemented
66C2×#525C2213yescomplemented
67C22×C22⋊Q8C2213yescomplemented
68C22×#121C2213yescomplemented
69C2×#520C2211yescharacteristic, complemented
70C2×#520C2211yescharacteristic, complemented
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×D4C2213yescomplemented
73#2849C22112yescomplemented
74#2848C2216yescomplemented
75#2847C2216yescomplemented
76#2616C2216yescomplemented
77#2615C2216yescomplemented
78#2613C22112yescomplemented
79#2436C2216yescomplemented
80#2435C2216yescomplemented
81#2434C2216yescomplemented
82#2433C2216yescomplemented
83#2432C2216yescomplemented
84#2432C2216yescomplemented
85#2432C2216yescomplemented
86#2432C2216yescomplemented
87#2431C2216yescomplemented
88#2431C2216yescomplemented
89#2431C2216yescomplemented
90#2431C2216yescomplemented
91#2430C22112yescomplemented
92#2430C22112yescomplemented
93#2430C22112yescomplemented
94#2410C22112yescomplemented
95#2410C22112yescomplemented
96#2410C22112yescomplemented
97#2409C2213yescomplemented
98#2409C2216yescomplemented
99#2409C2216yescomplemented
100#2409C2216yescomplemented
101#2409C2213yescomplemented
102#2408C2216yescomplemented
103#2408C2216yescomplemented
104#2408C2213yescomplemented
105#2408C2213yescomplemented
106#2408C2216yescomplemented
107#2407C2216yescomplemented
108#2407C2216yescomplemented
109#2407C2216yescomplemented
110#2407C2216yescomplemented
111#2407C2216yescomplemented
112#2407C2216yescomplemented
113#2407C2216yescomplemented
114#2407C2213yescomplemented
115#2407C2216yescomplemented
116#2407C2216yescomplemented
117#2407C2216yescomplemented
118#2407C2216yescomplemented
119#2407C2216yescomplemented
120#2407C2213yescomplemented
121#2407C2216yescomplemented
122#2407C2211yescharacteristic, complemented
123#2407C2213yescomplemented
124#2406C22112yescomplemented
125#2406C2216yescomplemented
126#2405C22112yescomplemented
127#2405C2216yescomplemented
128#2404C22112yescomplemented
129#2404C2216yescomplemented
130#2403C2216yescomplemented
131#2403C22112yescomplemented
132#2388C2216yescomplemented
133#2388C2216yescomplemented
134C2×#394C2216yescomplemented
135C2×#392C2216yescomplemented
136#2341C2212yescomplemented
137#2341C2212yescomplemented
138#2341C2212yescomplemented
139Q8×C22⋊C4C2212yescomplemented
140Q8×C22⋊C4C2212yescomplemented
141Q8×C22⋊C4C2212yescomplemented
142#2339C2216yescomplemented
143#2339C2216yescomplemented
144#2339C2216yescomplemented
145D4×C22⋊C4C2216yescomplemented
146D4×C22⋊C4C2216yescomplemented
147D4×C22⋊C4C2216yescomplemented
148#2311C2213yescomplemented
149#2311C2213yescomplemented
150#2311C2213yescomplemented
151#2311C2213yescomplemented
152#2310C2213yescomplemented
153#2309C2213yescomplemented
154C4×#120C2216yescomplemented
155C4×#120C2216yescomplemented
156#2297C2213yescomplemented
157#2297C2213yescomplemented
158C2×#391C2213yescomplemented
159C2×#390C2213yescomplemented
160C2×#386C2216yescomplemented
161C2×#385C2216yescomplemented
162#2280C2213yescomplemented
163C2×#380C2213yescomplemented
164#585—2512no—
165C2×2−1+4—28no—
166C2×2−1+4—28no—
167C2×2−1+4—224no—
168C2×2−1+4—224no—
169C2×2−1+4—216no—
170C2×2−1+4—224no—
171C2×2−1+4—216no—
172C2×2−1+4—216no—
173C2×2−1+4D4116yescomplemented
174C2×H(5,𝔽2)—28no—
175C2×H(5,𝔽2)—28no—
176C2×H(5,𝔽2)—224no—
177C2×H(5,𝔽2)—224no—
178C2×H(5,𝔽2)—248no—
179C2×H(5,𝔽2)—224no—
180C2×H(5,𝔽2)—248no—
181C2×H(5,𝔽2)—248no—
182C2×H(5,𝔽2)D4116yescomplemented
183C22×#41—28no—
184C22×#41—28no—
185C22×#41—224no—
186C22×#41—224no—
187C22×#41—248no—
188C22×#41—216no—
189C22×#41—248no—
190C22×#41—216no—
191C22×#41—28no—
192C22×#41—28no—
193C22×#41—28no—
194C22×#41—224no—
195C22×#41—216no—
196C22×#41—224no—
197C22×#41—248no—
198C22×#41—224no—
199C22×#41—224no—
200C22×#41D4116yescomplemented
201C22×#41C2316yes—
202C22×#41C2313yes—
203C22×#41C2311yescharacteristic
204C22×#41C2316yes—
205C22×#41C2316yes—
206C22×#41C23112yes—
207C22×#41C2316yes—
208C22×#41C2316yes—
209C22×#41C2316yes—
210C22×#41C2316yes—
211C22×#41C2313yes—
212C22×#41C2313yes—
213C22×#41C2311yescharacteristic
214C22×#41C2313yes—
215C22×#41C2311yescharacteristic
216C22×#41C2313yes—
217C22×#41C2313yes—
218C22×#41C2313yes—
219C22×#41C2312yes—
220C22×#41C2316yes—
221C22×#41C2311yescharacteristic
222C23×Q8C2313yes—
223C23×Q8C2316yes—
224C23×Q8C2311yescharacteristic
225C23×Q8C2313yes—
226C23×Q8C2311yescharacteristic
227C23×Q8C2312yes—
228C23×D4C2316yes—
229C23×D4C23112yes—
230C23×D4C2316yes—
231C23×D4C2313yes—
232C23×D4C2316yes—
233C23×D4C2313yes—
234C23×D4C2313yes—
235C23×D4C2313yes—
236C23×D4C2316yes—
237C23×D4C2313yes—
238C23×D4C2316yes—
239C24×C4C2316yes—
240C24×C4C2316yes—
241C24×C4C2313yes—
242C24×C4C2313yes—
243#550—28no—
244#550—216no—
245D4×Q8—28no—
246D4×Q8—216no—
247#548—28no—
248#548—216no—
249#548—28no—
250#548—216no—
251#547—224no—
252#547—248no—
253#546—224no—
254#546—248no—
255#546—224no—
256#546—248no—
257D42—224no—
258D42—248no—
259#537—224no—
260#537—224no—
261#536—224no—
262#535—224no—
263#532—224no—
264C2×C4⋊Q8C2313yes—
265C2×C4⋊Q8C2316yes—
266C2×#127C2313yes—
267C2×#127C2316yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2316yes—
271C2×#124C2316yes—
272#525—224no—
273#525—224no—
274#525—224no—
275#525—224no—
276C2×#123C2316yes—
277C2×#123C23112yes—
278C2×#123C2316yes—
279C2×#123C2316yes—
280C2×#123C2316yes—
281C2×C22⋊Q8—224no—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2316yes—
284C2×C22⋊Q8C2316yes—
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×C22⋊Q8C2316yes—
288C2×C22⋊Q8C2316yes—
289C2×C22⋊Q8C2316yes—
290C2×C22⋊Q8C2313yes—
291C2×C22⋊Q8C2313yes—
292C2×C22⋊Q8C2313yes—
293C2×C22⋊Q8C2311yescharacteristic
294C2×C22⋊Q8C2313yes—
295C2×#121—224no—
296C2×#121C2313yes—
297C2×#121C2316yes—
298C2×#121C2316yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2316yes—
302C2×#121C2316yes—
303C2×#121C2316yes—
304C2×#121C2313yes—
305C2×#121C2313yes—
306C2×#121C2313yes—
307C2×#121C2311yescharacteristic
308C2×#121C2313yes—
309C2×#121C23112yes—
310C2×#121C2316yes—
311C2×#121C2316yes—
312C2×#121C23112yes—
313C2×#120C23112yes—
314C2×#120C2316yes—
315C2×#120C2316yes—
316C2×#120C2316yes—
317C2×#120C2316yes—
318C2×#120C2316yes—
319C2×#120C2316yes—
320C2×#120C23112yes—
321#520—28no—
322#520—28no—
323C4×#41—28no—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×D4—224no—
329C2×C4×D4C2316yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2316yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2316yes—
336C2×C4×D4C2316yes—
337C2×C4×D4C2316yes—
338C2×C4×D4C2316yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2313yes—
341C2×C4×D4C2313yes—
342C2×C4×D4C2313yes—
343C2×C4×D4C2313yes—
344C2×C4×D4C2313yes—
345C2×C4×D4C2316yes—
346C2×#117C2313yes—
347C2×#117C2313yes—
348C2×#117C2313yes—
349C22×C4⋊C4C2313yes—
350C22×C4⋊C4C2313yes—
351C22×C4⋊C4C2316yes—
352C22×C4⋊C4C2313yes—
353C22×C22⋊C4C2316yes—
354C22×C22⋊C4C2313yes—
355C22×C22⋊C4C2316yes—
356C22×C22⋊C4C2313yes—
357C22×C22⋊C4C2316yes—
358C22×C22⋊C4C2316yes—
359C22×C22⋊C4C2316yes—
360C22×C42C2313yes—
361#395C23112yes—
362#395C2316yes—
363#395C2316yes—
364#394C2316yes—
365#394C23112yes—
366#394C23112yes—
367#394C23112yes—
368#394C2316yes—
369#394C23112yes—
370#394C2316yes—
371#394C23112yes—
372#394C23112yes—
373#394C2312yes—
374#394C2316yes—
375#394C2316yes—
376#393C23112yes—
377#393C2316yes—
378#393C2316yes—
379#392C2316yes—
380#392C23112yes—
381#392C23112yes—
382#392C23112yes—
383#392C2316yes—
384#392C23112yes—
385#392C2316yes—
386#392C23112yes—
387#392C23112yes—
388#392C2312yes—
389#392C2316yes—
390#392C2316yes—
391#391C2313yes—
392#391C2316yes—
393#391C2316yes—
394#391C2316yes—
395#391C2313yes—
396#391C2316yes—
397#391C2316yes—
398#391C2316yes—
399#391C2316yes—
400#391C2313yes—
401#391C2311yescharacteristic
402#390C2313yes—
403#390C2316yes—
404#390C2316yes—
405#390C2316yes—
406#390C2313yes—
407#390C2316yes—
408#390C2316yes—
409#390C2316yes—
410#390C2316yes—
411#390C2313yes—
412#390C2311yescharacteristic
413#386C23112yes—
414#386C23112yes—
415#386C23112yes—
416#386C23112yes—
417#386C2316yes—
418#386C23112yes—
419#386C23112yes—
420#386C2316yes—
421#386C23112yes—
422#386C23112yes—
423#386C2316yes—
424#386C2316yes—
425#386C2316yes—
426#386C2316yes—
427#386C2316yes—
428#386C23112yes—
429#386C2316yes—
430#386C2312yes—
431#386C2316yes—
432#386C23112yes—
433#385C2316yes—
434#385C23112yes—
435#385C23112yes—
436#385C2316yes—
437#385C23112yes—
438#385C23112yes—
439#385C2316yes—
440#385C23112yes—
441#385C2316yes—
442#385C2312yes—
443#385C2316yes—
444#385C23112yes—
445#381C23112yes—
446#381C2316yes—
447#380C2316yes—
448#380C2313yes—
449#380C2313yes—
450#380C2316yes—
451#380C2316yes—
452#380C2316yes—
453#380C2316yes—
454#380C2316yes—
455#380C2316yes—
456#380C2313yes—
457#380C2311yescharacteristic
458#379C23112yes—
459#379C23112yes—
460#379C2316yes—
461#379C2316yes—
462#379C2316yes—
463C4×C22⋊C4C2316yes—
464C4×C22⋊C4C2316yes—
465C4×C22⋊C4C2316yes—
466C4×C22⋊C4C2316yes—
467C4×C22⋊C4C2316yes—
468C4×C22⋊C4C2316yes—
469C2×#95C2316yes—
470C2×#95C2316yes—
471C2×#95C2316yes—
472C25C2413yes—
473C25C2416yes—
474C25C2416yes—
475C25C2413yes—
4762−1+4—2384no—
4772−1+4—2256no—
4782−1+4—2128no—
479H(5,𝔽2)—2384no—
480H(5,𝔽2)—2768no—
481H(5,𝔽2)—2128no—
482C2×#41—2256no—
483C2×#41—2768no—
484C2×#41—2384no—
485C2×#41—2384no—
486C2×#41—2128no—
487C2×#41—24no—
488C2×#41—212no—
489C2×#41—224no—
490C2×#41—24no—
491C2×#41—24no—
492C2×#41—224no—
493C2×#41—224no—
494C2×#41—224no—
495C2×#41—224no—
496C2×#41—28no—
497C2×#41—28no—
498C2×#41—24no—
499C2×#41—24no—
500C2×#41—24no—
501C2×#41—224no—
502C2×#41—224no—
503C2×#41—24no—
504C2×#41—212no—
505C2×#41—224no—
506C2×#41—212no—
507C2×#41—212no—
508C2×#41—248no—
509C2×#41—248no—
510C2×#41—224no—
511C2×#41—224no—
512C2×#41—224no—
513C2×#41—224no—
514C2×#41—224no—
515C2×#41—224no—
516C2×#41—212no—
517C2×#41—212no—
518C2×#41—212no—
519C2×#41—224no—
520C2×#41—212no—
521C2×#41—24no—
522C2×#41—224no—
523C2×#41—248no—
524C2×#41—224no—
525C2×#41—224no—
526C2×#41—224no—
527C2×#41—224no—
528C2×#41—224no—
529C2×#41—224no—
530C2×#41—224no—
531C2×#41—212no—
532C2×#41—212no—
533C2×#41—212no—
534C2×#41—212no—
535C2×#41—212no—
536C2×#41—212no—
537C2×#41—212no—
538C2×#41—212no—
539C2×#41—212no—
540C2×#41—464no—
541C2×#41C2×D418yes—
542C2×#41C2×D418yes—
543C2×#41C2×D418yes—
544C2×#41C2×D4124yescomplemented
545C2×#41C2×D4124yescomplemented
546C2×#41C2×D4124yescomplemented
547C2×#41C2×D4124yescomplemented
548C2×#41C2×D4148yescomplemented
549C2×#41C2×D418yescomplemented
550C2×#41C2×D4116yescomplemented
551C22×Q8—212no—
552C22×Q8—212no—
553C22×Q8—224no—
554C22×Q8—224no—
555C22×Q8—24no—
556C22×Q8—28no—
557C22×Q8—28no—
558C22×Q8—24no—
559C22×Q8—24no—
560C22×Q8—24no—
561C22×Q8—24no—
562C22×Q8—212no—
563C22×Q8—224no—
564C22×Q8—212no—
565C22×Q8—212no—
566C22×Q8C2×D4124yescomplemented
567C22×Q8C2×D4116yescomplemented
568C22×Q8C2×D418yescomplemented
569C22×Q8C2413yes—
570C22×Q8C2416yes—
571C22×Q8C2411yescharacteristic
572C22×Q8C2413yes—
573C22×Q8C2413yes—
574C22×Q8C2416yes—
575C22×Q8C2411yescharacteristic
576C22×D4—224no—
577C22×D4—248no—
578C22×D4—224no—
579C22×D4—224no—
580C22×D4—248no—
581C22×D4—224no—
582C22×D4—248no—
583C22×D4—224no—
584C22×D4—212no—
585C22×D4—212no—
586C22×D4—224no—
587C22×D4—224no—
588C22×D4—212no—
589C22×D4—224no—
590C22×D4—224no—
591C22×D4—212no—
592C22×D4—212no—
593C22×D4—224no—
594C22×D4—212no—
595C22×D4—212no—
596C22×D4—212no—
597C22×D4—224no—
598C22×D4—212no—
599C22×D4—224no—
600C22×D4—212no—
601C22×D4—212no—
602C22×D4—46no—
603C22×D4—46no—
604C22×D4—412no—
605C22×D4—86no—
606C22×D4C2×D4124yescomplemented
607C22×D4C2×D4148yescomplemented
608C22×D4C2×D4124yescomplemented
609C22×D4C2411yescharacteristic
610C22×D4C2416yes—
611C22×D4C2413yes—
612C22×D4C2416yes—
613C22×D4C24112yes—
614C22×D4C2412yes—
615C22×D4C2416yes—
616C22×D4C2412yes—
617C22×D4C2413yes—
618C22×D4C2413yes—
619C22×D4C2416yes—
620C22×D4C2416yes—
621C22×D4C2416yes—
622C22×D4C2416yes—
623C22×D4C2411yescharacteristic
624C22×D4C2413yes—
625C22×D4C2413yes—
626C22×D4C2416yes—
627C22×D4C2413yes—
628C22×D4C2416yes—
629C22×D4C2416yes—
630C22×D4C2416yes—
631C22×D4C24112yes—
632C22×D4C2413yes—
633C23×C4—224no—
634C23×C4—224no—
635C23×C4—224no—
636C23×C4—224no—
637C23×C4—224no—
638C23×C4—224no—
639C23×C4—212no—
640C23×C4—212no—
641C23×C4—212no—
642C23×C4—212no—
643C23×C4—212no—
644C23×C4C2×D4124yescomplemented
645C23×C4C2413yes—
646C23×C4C2413yes—
647C23×C4C2413yes—
648C23×C4C2411yescharacteristic
649C23×C4C2413yes—
650C23×C4C2412yes—
651C23×C4C2416yes—
652C23×C4C2416yes—
653C23×C4C24112yes—
654C23×C4C2413yes—
655C23×C4C2413yes—
656C23×C4C2416yes—
657C23×C4C2411yescharacteristic
658C23×C4C2413yes—
659C23×C4C2413yes—
660C23×C4C2416yes—
661C23×C4C2416yes—
662C23×C4C2413yes—
663C23×C4C2416yes—
664C23×C4C2413yes—
665C23×C4C2416yes—
666C23×C4C2413yes—
667C4⋊Q8—212no—
668C4⋊Q8—224no—
669#127—212no—
670#127—224no—
671#124—212no—
672#124—224no—
673#124—212no—
674#124—224no—
675#123—224no—
676#123—224no—
677#123—224no—
678#123—224no—
679#123—248no—
680C22⋊Q8—212no—
681C22⋊Q8—224no—
682C22⋊Q8—224no—
683C22⋊Q8—224no—
684C22⋊Q8—24no—
685C22⋊Q8—212no—
686C22⋊Q8—212no—
687C22⋊Q8—212no—
688C22⋊Q8—212no—
689C22⋊Q8—212no—
690C22⋊Q8—212no—
691C22⋊Q8—224no—
692C22⋊Q8—224no—
693#121—212no—
694#121—224no—
695#121—224no—
696#121—224no—
697#121—24no—
698#121—212no—
699#121—212no—
700#121—212no—
701#121—212no—
702#121—224no—
703#121—224no—
704#121—248no—
705#121—248no—
706#121—212no—
707#121—212no—
708#121—224no—
709#121—224no—
710#120—224no—
711#120—248no—
712#120—224no—
713#120—224no—
714#120—224no—
715#120—412no—
716#120—412no—
717#120—812no—
718C4×Q8—24no—
719C4×Q8—24no—
720C4×Q8—28no—
721C4×Q8—28no—
722C4×D4—212no—
723C4×D4—212no—
724C4×D4—224no—
725C4×D4—224no—
726C4×D4—24no—
727C4×D4—212no—
728C4×D4—212no—
729C4×D4—212no—
730C4×D4—212no—
731C4×D4—212no—
732C4×D4—212no—
733C4×D4—212no—
734C4×D4—224no—
735C4×D4—224no—
736C4×D4—224no—
737C4×D4—224no—
738C4×D4—224no—
739#117—212no—
740#117—212no—
741#117—212no—
742C2×C4⋊C4—212no—
743C2×C4⋊C4—212no—
744C2×C4⋊C4—212no—
745C2×C4⋊C4—224no—
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2413yes—
748C2×C4⋊C4C2413yes—
749C2×C4⋊C4C2416yes—
750C2×C4⋊C4C2413yes—
751C2×C4⋊C4C2413yes—
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2416yes—
754C2×C4⋊C4C2416yes—
755C2×C4⋊C4C24112yes—
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2413yes—
759C2×C4⋊C4C2413yes—
760C2×C4⋊C4C2412yes—
761C2×C4⋊C4C2416yes—
762C2×C4⋊C4C2416yes—
763C2×C4⋊C4C2416yes—
764C2×C22⋊C4—212no—
765C2×C22⋊C4—224no—
766C2×C22⋊C4—212no—
767C2×C22⋊C4—224no—
768C2×C22⋊C4—412no—
769C2×C22⋊C4—86no—
770C2×C22⋊C4—86no—
771C2×C22⋊C4C2411yescharacteristic
772C2×C22⋊C4C2411yescharacteristic
773C2×C22⋊C4C2416yes—
774C2×C22⋊C4C2416yes—
775C2×C22⋊C4C2416yes—
776C2×C22⋊C4C2413yes—
777C2×C22⋊C4C2413yes—
778C2×C22⋊C4C2413yes—
779C2×C22⋊C4C2413yes—
780C2×C22⋊C4C2413yes—
781C2×C22⋊C4C2413yes—
782C2×C22⋊C4C24112yes—
783C2×C22⋊C4C24112yes—
784C2×C22⋊C4C2416yes—
785C2×C22⋊C4C2416yes—
786C2×C22⋊C4C2416yes—
787C2×C22⋊C4C2412yes—
788C2×C22⋊C4C2412yes—
789C2×C22⋊C4C2416yes—
790C2×C22⋊C4C2416yes—
791C2×C22⋊C4C2416yes—
792C2×C22⋊C4C2416yes—
793C2×C22⋊C4C2416yes—
794C2×C22⋊C4C2416yes—
795C2×C22⋊C4C2412yes—
796C2×C22⋊C4C2416yes—
797C2×C22⋊C4C2416yes—
798C2×C22⋊C4C24112yes—
799C2×C22⋊C4C24112yes—
800C2×C22⋊C4C24112yes—
801C2×C22⋊C4C2416yes—
802C2×C22⋊C4C2416yes—
803C2×C22⋊C4C2416yes—
804C2×C22⋊C4C2416yes—
805C2×C22⋊C4C2416yes—
806C2×C22⋊C4C2412yes—
807C2×C22⋊C4C2412yes—
808C2×C22⋊C4C2416yes—
809C2×C42—212no—
810C2×C42C2413yes—
811C2×C42C2416yes—
812C2×C42C2416yes—
813C2×C42C2411yescharacteristic
814C2×C42C2413yes—
815C2×C42C2413yes—
816#95C2416yes—
817#95C2416yes—
818#95C2416yes—
819#95C24112yes—
820#95C24112yes—
821#95C24112yes—
822#95C2412yes—
823#95C2412yes—
824#95C2412yes—
825#95C2416yes—
826#95C2416yes—
827#95C2416yes—
828#95C2416yes—
829#95C2416yes—
830#95C2416yes—
831C24—212no—
832C24—212no—
833C24—212no—
834C24—26no—
835C24—212no—
836C24—212no—
837C24—26no—
838C24—26no—
839C24—26no—
840C24—26no—
841C24—26no—
842C24—46no—
843C24—43no—
844C24—46no—
845C24—43no—
846C24—43no—
847C24—43no—
848C24—46no—
849C24—43no—
850C24—43no—
851C24—46no—
852C24—43no—
853C24—46no—
854C24—46no—
855C24—46no—
856C24—46no—
857C24C22×D4124yes—
858C24C22×D4112yes—
859C24C2513yes—
860C24C2516yes—
861C24C2512yes—
862C24C2513yes—
863C24C2511yescharacteristic
864C24C2511yescharacteristic
865C24C2513yes—
866#41—2192no—
867#41—2192no—
868#41—232no—
869#41—296no—
870#41—2384no—
871#41—2192no—
872#41—2192no—
873#41—2192no—
874#41—2192no—
875#41—2192no—
876#41—232no—
877#41—264no—
878#41—296no—
879#41—2192no—
880#41—296no—
881#41—296no—
882#41—296no—
883#41—416no—
884#41—448no—
885#41—448no—
886#41#120164yescomplemented
887C2×Q8—2192no—
888C2×Q8—296no—
889C2×Q8—264no—
890C2×Q8—232no—
891C2×Q8—296no—
892C2×Q8—212no—
893C2×Q8—212no—
894C2×Q8—212no—
895C2×Q8—22no—
896C2×Q8—26no—
897C2×Q8—26no—
898C2×Q8—212no—
899C2×Q8—26no—
900C2×Q8—212no—
901C2×Q8—22no—
902C2×Q8—26no—
903C2×Q8—26no—
904C2×Q8—26no—
905C2×Q8—26no—
906C2×Q8—416no—
907C2×Q8C22×D414yes—
908C2×Q8C22×D4112yes—
909C2×Q8C22×D4112yes—
910C2×Q8C22×D4124yes—
911C2×Q8C22×D414yes—
912C2×Q8C22×D414yes—
913C2×Q8C22×D414yes—
914C2×D4—2384no—
915C2×D4—2192no—
916C2×D4—2192no—
917C2×D4—2192no—
918C2×D4—296no—
919C2×D4—22no—
920C2×D4—212no—
921C2×D4—224no—
922C2×D4—212no—
923C2×D4—224no—
924C2×D4—24no—
925C2×D4—212no—
926C2×D4—212no—
927C2×D4—24no—
928C2×D4—212no—
929C2×D4—212no—
930C2×D4—212no—
931C2×D4—212no—
932C2×D4—212no—
933C2×D4—212no—
934C2×D4—22no—
935C2×D4—2192no—
936C2×D4—296no—
937C2×D4—24no—
938C2×D4—26no—
939C2×D4—26no—
940C2×D4—26no—
941C2×D4—212no—
942C2×D4—212no—
943C2×D4—212no—
944C2×D4—212no—
945C2×D4—24no—
946C2×D4—26no—
947C2×D4—212no—
948C2×D4—212no—
949C2×D4—212no—
950C2×D4—212no—
951C2×D4—224no—
952C2×D4—296no—
953C2×D4—212no—
954C2×D4—224no—
955C2×D4—212no—
956C2×D4—24no—
957C2×D4—22no—
958C2×D4—26no—
959C2×D4—26no—
960C2×D4—212no—
961C2×D4—212no—
962C2×D4—26no—
963C2×D4—26no—
964C2×D4—22no—
965C2×D4—26no—
966C2×D4—26no—
967C2×D4—26no—
968C2×D4—22no—
969C2×D4—26no—
970C2×D4—43no—
971C2×D4—43no—
972C2×D4—43no—
973C2×D4—43no—
974C2×D4—46no—
975C2×D4—42no—
976C2×D4—46no—
977C2×D4—46no—
978C2×D4—46no—
979C2×D4—46no—
980C2×D4—412no—
981C2×D4—412no—
982C2×D4—46no—
983C2×D4—46no—
984C2×D4—448no—
985C2×D4—448no—
986C2×D4—848no—
987C2×D4C22×D4124yes—
988C2×D4C22×D4124yes—
989C2×D4C22×D4124yes—
990C2×D4C22×D414yes—
991C2×D4C22×D4112yes—
992C2×D4C22×D4112yes—
993C2×D4C22×D4124yes—
994C2×D4C22×D4112yes—
995C2×D4C22×D4112yes—
996C2×D4C22×D4112yes—
997C22×C4—2192no—
998C22×C4—2192no—
999C22×C4—212no—
1000C22×C4—24no—
1001C22×C4—26no—
1002C22×C4—26no—
1003C22×C4—224no—
1004C22×C4—212no—
1005C22×C4—212no—
1006C22×C4—212no—
1007C22×C4—296no—
1008C22×C4—212no—
1009C22×C4—24no—
1010C22×C4—212no—
1011C22×C4—24no—
1012C22×C4—26no—
1013C22×C4—26no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—224no—
1017C22×C4—212no—
1018C22×C4—224no—
1019C22×C4—212no—
1020C22×C4—212no—
1021C22×C4—26no—
1022C22×C4—212no—
1023C22×C4—212no—
1024C22×C4—212no—
1025C22×C4—26no—
1026C22×C4—26no—
1027C22×C4—26no—
1028C22×C4—26no—
1029C22×C4—26no—
1030C22×C4—26no—
1031C22×C4—26no—
1032C22×C4—26no—
1033C22×C4—212no—
1034C22×C4—212no—
1035C22×C4—22no—
1036C22×C4—26no—
1037C22×C4—26no—
1038C22×C4—26no—
1039C22×C4—26no—
1040C22×C4—26no—
1041C22×C4—26no—
1042C22×C4—26no—
1043C22×C4—22no—
1044C22×C4—26no—
1045C22×C4—22no—
1046C22×C4—26no—
1047C22×C4—26no—
1048C22×C4—43no—
1049C22×C4—46no—
1050C22×C4—43no—
1051C22×C4—46no—
1052C22×C4—46no—
1053C22×C4—43no—
1054C22×C4—46no—
1055C22×C4—448no—
1056C22×C4C22×D4112yes—
1057C22×C4C22×D4124yes—
1058C22×C4C22×D414yes—
1059C22×C4C22×D4112yes—
1060C22×C4C22×D4112yes—
1061C22×C4C22×D4124yes—
1062C22×C4C22×D4124yes—
1063C22×C4C22×D4112yes—
1064C22×C4C22×D4112yes—
1065C22×C4C22×D4112yes—
1066C22×C4C22×D4112yes—
1067C22×C4C2512yes—
1068C22×C4C2516yes—
1069C22×C4C2511yescharacteristic
1070C22×C4C2513yes—
1071C22×C4C2513yes—
1072C22×C4C2512yes—
1073C22×C4C2516yes—
1074C22×C4C2511yescharacteristic
1075C22×C4C2513yes—
1076C22×C4C2511yescharacteristic
1077C22×C4C2516yes—
1078C22×C4C2513yes—
1079C22×C4C2512yes—
1080C22×C4C2511yescharacteristic
1081C22×C4C2513yes—
1082C22×C4C2511yescharacteristic
1083C4⋊C4—22no—
1084C4⋊C4—26no—
1085C4⋊C4—26no—
1086C4⋊C4—212no—
1087C4⋊C4—26no—
1088C4⋊C4—26no—
1089C4⋊C4—26no—
1090C4⋊C4—212no—
1091C4⋊C4—212no—
1092C4⋊C4—224no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—26no—
1096C4⋊C4—26no—
1097C4⋊C4—24no—
1098C4⋊C4—212no—
1099C4⋊C4—212no—
1100C4⋊C4—212no—
1101C22⋊C4—22no—
1102C22⋊C4—212no—
1103C22⋊C4—26no—
1104C22⋊C4—26no—
1105C22⋊C4—26no—
1106C22⋊C4—224no—
1107C22⋊C4—212no—
1108C22⋊C4—212no—
1109C22⋊C4—212no—
1110C22⋊C4—24no—
1111C22⋊C4—212no—
1112C22⋊C4—212no—
1113C22⋊C4—212no—
1114C22⋊C4—22no—
1115C22⋊C4—212no—
1116C22⋊C4—26no—
1117C22⋊C4—26no—
1118C22⋊C4—26no—
1119C22⋊C4—224no—
1120C22⋊C4—24no—
1121C22⋊C4—212no—
1122C22⋊C4—212no—
1123C22⋊C4—212no—
1124C22⋊C4—212no—
1125C22⋊C4—24no—
1126C22⋊C4—412no—
1127C22⋊C4—46no—
1128C22⋊C4—46no—
1129C22⋊C4—412no—
1130C22⋊C4—412no—
1131C22⋊C4—46no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—46no—
1135C22⋊C4—46no—
1136C22⋊C4—46no—
1137C22⋊C4—46no—
1138C22⋊C4—46no—
1139C42—22no—
1140C42—26no—
1141C42—26no—
1142C42—26no—
1143C42—212no—
1144C42—212no—
1145C23—23no—
1146C23—23no—
1147C23—23no—
1148C23—23no—
1149C23—248no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—22no—
1154C23—23no—
1155C23—21no—
1156C23—26no—
1157C23—23no—
1158C23—21no—
1159C23—26no—
1160C23—22no—
1161C23—26no—
1162C23—22no—
1163C23—22no—
1164C23—23no—
1165C23—23no—
1166C23—26no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—23no—
1172C23—26no—
1173C23—22no—
1174C23—21no—
1175C23—21no—
1176C23—26no—
1177C23—22no—
1178C23—21no—
1179C23—23no—
1180C23—248no—
1181C23—224no—
1182C23—23no—
1183C23—23no—
1184C23—23no—
1185C23—23no—
1186C23—23no—
1187C23—23no—
1188C23—23no—
1189C23—412no—
1190C23—424no—
1191C23—424no—
1192C23—412no—
1193C23—412no—
1194C23—412no—
1195C23—412no—
1196C23—412no—
1197C23—86no—
1198C23—86no—
1199C23—86no—
1200C23—86no—
1201C23—812no—
1202C23—812no—
1203C23—86no—
1204C23—86no—
1205C23—812no—
1206C23—812no—
1207C23—86no—
1208C23—812no—
1209C23—812no—
1210C23—812no—
1211C23—812no—
1212C23—812no—
1213C23—812no—
1214C23C23×D4112yes—
1215C23C23×D416yes—
1216C23C23×D414yes—
1217C23C23×D412yes—
1218C23C23×D416yes—
1219C23C23×D416yes—
1220C23C23×D416yes—
1221C23#58512yescomplemented
1222C23C2611yescharacteristic
1223Q8—248no—
1224Q8—224no—
1225Q8—248no—
1226Q8—28no—
1227Q8—224no—
1228Q8—412no—
1229Q8C2×#120116yes—
1230D4—296no—
1231D4—248no—
1232D4—216no—
1233D4—248no—
1234D4—28no—
1235D4—248no—
1236D4—248no—
1237D4—248no—
1238D4—224no—
1239D4—248no—
1240D4—28no—
1241D4—224no—
1242D4—412no—
1243D4—48no—
1244D4—412no—
1245D4—424no—
1246D4—412no—
1247D4—424no—
1248D4—412no—
1249D4—812no—
1250D4—812no—
1251D4—812no—
1252D4—824no—
1253D4C2×#120148yes—
1254C2×C4—248no—
1255C2×C4—216no—
1256C2×C4—248no—
1257C2×C4—296no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—26no—
1262C2×C4—23no—
1263C2×C4—22no—
1264C2×C4—23no—
1265C2×C4—26no—
1266C2×C4—22no—
1267C2×C4—21no—
1268C2×C4—224no—
1269C2×C4—248no—
1270C2×C4—224no—
1271C2×C4—28no—
1272C2×C4—248no—
1273C2×C4—248no—
1274C2×C4—224no—
1275C2×C4—224no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—26no—
1282C2×C4—26no—
1283C2×C4—21no—
1284C2×C4—23no—
1285C2×C4—21no—
1286C2×C4—23no—
1287C2×C4—21no—
1288C2×C4—23no—
1289C2×C4—26no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—23no—
1293C2×C4—23no—
1294C2×C4—26no—
1295C2×C4—21no—
1296C2×C4—26no—
1297C2×C4—23no—
1298C2×C4—26no—
1299C2×C4—22no—
1300C2×C4—21no—
1301C2×C4—23no—
1302C2×C4—22no—
1303C2×C4—412no—
1304C2×C4—412no—
1305C2×C4—44no—
1306C2×C4—412no—
1307C2×C4—412no—
1308C2×C4—412no—
1309C2×C4—812no—
1310C2×C4—86no—
1311C2×C4—812no—
1312C2×C4C2×#120148yes—
1313C2×C4C23×D412yes—
1314C2×C4C23×D4112yes—
1315C2×C4C23×D416yes—
1316C2×C4C23×D414yes—
1317C2×C4C23×D412yes—
1318C2×C4C23×D416yes—
1319C2×C4C23×D416yes—
1320C2×C4C23×D416yes—
1321C2×C4C23×D412yes—
1322C2×C4C23×D412yes—
1323C2×C4#58512yescomplemented
1324C22—26no—
1325C22—26no—
1326C22—26no—
1327C22—26no—
1328C22—26no—
1329C22—26no—
1330C22—22no—
1331C22—212no—
1332C22—212no—
1333C22—22no—
1334C22—24no—
1335C22—24no—
1336C22—22no—
1337C22—22no—
1338C22—26no—
1339C22—26no—
1340C22—22no—
1341C22—212no—
1342C22—24no—
1343C22—26no—
1344C22—22no—
1345C22—42no—
1346C22—43no—
1347C22—41no—
1348C22—41no—
1349C22—42no—
1350C22—43no—
1351C22—41no—
1352C22—43no—
1353C22—46no—
1354C22—41no—
1355C22—41no—
1356C22—46no—
1357C22—43no—
1358C22—41no—
1359C22—46no—
1360C22—42no—
1361C22—41no—
1362C22—46no—
1363C22—42no—
1364C22—41no—
1365C22—43no—
1366C22—43no—
1367C22—43no—
1368C22—43no—
1369C22—43no—
1370C22—43no—
1371C22—43no—
1372C22—824no—
1373C22—848no—
1374C22—824no—
1375C22—848no—
1376C22C22×#120112yes—
1377C22C24×D411yescharacteristic
1378C22C24×D411yescharacteristic
1379C22C24×D411yescharacteristic
1380C22C2×#58511yescharacteristic
1381C22C2×#58511yescharacteristic
1382C22H(7,𝔽2)11yescharacteristic
1383C222−1+611yescharacteristic
1384C4—22no—
1385C4—22no—
1386C4—212no—
1387C4—24no—
1388C4—26no—
1389C4—46no—
1390C4—42no—
1391C4—42no—
1392C4—46no—
1393C4—43no—
1394C4—41no—
1395C4—43no—
1396C4—41no—
1397C4—43no—
1398C4C22×#120112yes—
1399C4C22×#12014yes—
1400C2—212no—
1401C2—42no—
1402C2—412no—
1403C2—44no—
1404C2—42no—
1405C2—46no—
1406C2—83no—
1407C2C23×#12011yescharacteristic
1408C2#6281111yescharacteristic
1409C2#6285311yescharacteristic
1410C2#6298711yescharacteristic
1411C2#6298811yescharacteristic
1412C2#6300211yescharacteristic
1413C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#585C2semidirect
2. C2×#3489C2semidirect
3. C2×#3488C2semidirect
4. C2×D4×#41C2semidirect
5. #36429C2semidirect
6. #36428C2semidirect
7. #36213C2semidirect
8. #36212C2semidirect
9. #35757C2semidirect
10. #35750C2semidirect
11. #35687C2semidirect
12. #35680C2semidirect
13. #35660C2semidirect
14. #35659C2semidirect
15. #35513C2semidirect
16. #35512C2semidirect
17. #35251C2semidirect
18. #35149C2semidirect
19. #34736C2semidirect
20. C2×#2407C2semidirect
21. #34259C2semidirect
22. #34258C2semidirect
23. #34175C2semidirect
28. C22×2−1+4C22semidirect
29. C22×2−1+4C22semidirect
31. C22×H(5,𝔽2)C22semidirect
32. C22×H(5,𝔽2)C22semidirect
34. C23×#41C22semidirect
35. C23×#41C22semidirect
36. C23×#41C22semidirect
37. C23×#41C22semidirect
38. C23×#41C22semidirect
42. C2×#550C22semidirect
43. C2×#550C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×D4×Q8C22semidirect
46. C2×#548C22semidirect
47. C2×#548C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×D42C22semidirect
57. C2×D42C22semidirect
58. C2×#537C22semidirect
59. C2×#537C22semidirect
60. C2×#536C22semidirect
61. C2×#535C22semidirect
62. C2×#532C22semidirect
63. C2×#525C22semidirect
64. C2×#525C22semidirect
65. C2×#525C22semidirect
66. C2×#525C22semidirect
67. C22×C22⋊Q8C22semidirect
68. C22×#121C22semidirect
69. C2×#520C22semidirect
70. C2×#520C22semidirect
71. C2×C4×#41C22semidirect
72. C22×C4×D4C22semidirect
73. #2849C22semidirect
74. #2848C22semidirect
75. #2847C22semidirect
76. #2616C22semidirect
77. #2615C22semidirect
78. #2613C22semidirect
79. #2436C22semidirect
80. #2435C22semidirect
81. #2434C22semidirect
82. #2433C22semidirect
83. #2432C22semidirect
84. #2432C22semidirect
85. #2432C22semidirect
86. #2432C22semidirect
87. #2431C22semidirect
88. #2431C22semidirect
89. #2431C22semidirect
90. #2431C22semidirect
91. #2430C22semidirect
92. #2430C22semidirect
93. #2430C22semidirect
94. #2410C22semidirect
95. #2410C22semidirect
96. #2410C22semidirect
97. #2409C22semidirect
98. #2409C22semidirect
99. #2409C22semidirect
100. #2409C22semidirect
101. #2409C22semidirect
102. #2408C22semidirect
103. #2408C22semidirect
104. #2408C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
107. #2407C22semidirect
108. #2407C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
113. #2407C22semidirect
114. #2407C22semidirect
115. #2407C22semidirect
116. #2407C22semidirect
117. #2407C22semidirect
118. #2407C22semidirect
119. #2407C22semidirect
120. #2407C22semidirect
121. #2407C22semidirect
122. #2407C22semidirect
123. #2407C22semidirect
124. #2406C22semidirect
125. #2406C22semidirect
126. #2405C22semidirect
127. #2405C22semidirect
128. #2404C22semidirect
129. #2404C22semidirect
130. #2403C22semidirect
131. #2403C22semidirect
132. #2388C22semidirect
133. #2388C22semidirect
134. C2×#394C22semidirect
135. C2×#392C22semidirect
136. #2341C22semidirect
137. #2341C22semidirect
138. #2341C22semidirect
139. Q8×C22⋊C4C22semidirect
140. Q8×C22⋊C4C22semidirect
141. Q8×C22⋊C4C22semidirect
142. #2339C22semidirect
143. #2339C22semidirect
144. #2339C22semidirect
145. D4×C22⋊C4C22semidirect
146. D4×C22⋊C4C22semidirect
147. D4×C22⋊C4C22semidirect
148. #2311C22semidirect
149. #2311C22semidirect
150. #2311C22semidirect
151. #2311C22semidirect
152. #2310C22semidirect
153. #2309C22semidirect
154. C4×#120C22semidirect
155. C4×#120C22semidirect
156. #2297C22semidirect
157. #2297C22semidirect
158. C2×#391C22semidirect
159. C2×#390C22semidirect
160. C2×#386C22semidirect
161. C2×#385C22semidirect
162. #2280C22semidirect
163. C2×#380C22semidirect
173. C2×2−1+4D4semidirect
182. C2×H(5,𝔽2)D4semidirect
200. C22×#41D4semidirect
544. C2×#41C2×D4semidirect
545. C2×#41C2×D4semidirect
546. C2×#41C2×D4semidirect
547. C2×#41C2×D4semidirect
548. C2×#41C2×D4semidirect
549. C2×#41C2×D4semidirect
550. C2×#41C2×D4semidirect
566. C22×Q8C2×D4semidirect
567. C22×Q8C2×D4semidirect
568. C22×Q8C2×D4semidirect
606. C22×D4C2×D4semidirect
607. C22×D4C2×D4semidirect
608. C22×D4C2×D4semidirect
644. C23×C4C2×D4semidirect
886. #41#120semidirect
1221. C23#585semidirect
1323. C2×C4#585semidirect

Maximal subgroups

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

subgroupindex
C22×#5852
C2×#34892
C2×#34882
C2×D4×#412
#364292
#364282
#362132
#362122
#357572
#357502
#356872
#356802
#356602
#356592
#355132
#355122
#352512
#351492
#347362
C2×#24072
#342592
#342582
#341752