Finite Group Databasebeta

← #7687517

Subgroups — #7687517

Order 512.

6063 conjugacy classes of subgroups.

The subgroup lattice has 1411 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59820C213yesmaximal, complemented
2#59562C213yesmaximal, complemented
3#59480C213yesmaximal, complemented
4#59375C213yesmaximal, complemented
5#59272C213yesmaximal, complemented
6#45031C213yesmaximal, complemented
7#44959C213yesmaximal, complemented
8#44901C213yesmaximal, complemented
9#44898C213yesmaximal, complemented
10#39565C213yesmaximal, complemented
11#39046C213yesmaximal, complemented
12#38250C213yesmaximal, complemented
13#37970C213yesmaximal, complemented
14#36583C211yesmaximal, characteristic, complemented
15#36458C211yesmaximal, characteristic, complemented
16#36433C211yesmaximal, characteristic, complemented
17#36433C211yesmaximal, characteristic, complemented
18#36431C211yesmaximal, characteristic, complemented
19#36291C213yesmaximal, complemented
20#36264C213yesmaximal, complemented
21#36091C211yesmaximal, characteristic
22#36005C211yesmaximal, characteristic, complemented
23#35898C211yesmaximal, characteristic, complemented
24#35816C211yesmaximal, characteristic, complemented
25#34861C213yesmaximal, complemented
26#34295C211yesmaximal, characteristic, complemented
27#34263C211yesmaximal, characteristic, complemented
28#34258C211yesmaximal, characteristic, complemented
29#34258C211yesmaximal, characteristic, complemented
30C4×#550C211yesmaximal, characteristic, complemented
31#34129C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#551C2216yescomplemented
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic, complemented
43#2860C2213yescomplemented
44#2858C2213yescomplemented
45#2854C2213yescomplemented
46#2854C2213yescomplemented
47#2851C2213yescomplemented
48#2797C2216yescomplemented
49#2778C2216yescomplemented
50#2761C2216yescomplemented
51#2754C2216yescomplemented
52#2753C2216yescomplemented
53#2749C2216yescomplemented
54#2735C2216yescomplemented
55#2730C2216yescomplemented
56#2706C2216yescomplemented
57#2705C2216yescomplemented
58#2697C2216yescomplemented
59#2693C2216yescomplemented
60#2685C2216yescomplemented
61#2684C2216yescomplemented
62#2644C2213yescomplemented
63#2629C2213yescomplemented
64#2624C2213yescomplemented
65#2615C2213yes—
66#2610C2216yescomplemented
67#2605C2213yescomplemented
68#2603C2213yescomplemented
69#2603C2216yescomplemented
70#2601C2213yescomplemented
71#2600C2216yescomplemented
72#2598C2213yescomplemented
73#2597C2213yescomplemented
74#2595C2216yescomplemented
75#2589C2213yescomplemented
76#2580C2213yescomplemented
77#2576C2213yescomplemented
78#2566C2213yescomplemented
79#2566C2213yescomplemented
80#2557C2213yescomplemented
81#2554C2216yescomplemented
82#2548C2213yescomplemented
83#2547C2213yescomplemented
84#2538C2213yescomplemented
85#2534C2216yescomplemented
86#2531C2213yescomplemented
87#2527C2213yescomplemented
88#2520C2211yescharacteristic, complemented
89#2516C2213yescomplemented
90#2513C2213yescomplemented
91#2513C2213yescomplemented
92#2512C2213yescomplemented
93#2512C2213yescomplemented
94#2512C2213yescomplemented
95#2512C2213yescomplemented
96#2501C2213yescomplemented
97#2500C2213yescomplemented
98#2500C2213yescomplemented
99#2497C2213yescomplemented
100#2497C2213yescomplemented
101#2496C2213yescomplemented
102#2496C2213yescomplemented
103#2495C2213yescomplemented
104#2494C2213yescomplemented
105#2490C2213yescomplemented
106#2490C2213yescomplemented
107#2490C2213yescomplemented
108#2490C2213yescomplemented
109#2487C2213yescomplemented
110#2485C2213yescomplemented
111#2485C2213yescomplemented
112#2480C2216yescomplemented
113#2480C2216yescomplemented
114#2477C2213yescomplemented
115#2477C2216yescomplemented
116#2472C2216yescomplemented
117#2471C2213yescomplemented
118#2471C2216yescomplemented
119#2471C2216yescomplemented
120#2467C2216yescomplemented
121#2461C2213yescomplemented
122#2457C2213yescomplemented
123#2454C2213yescomplemented
124#2454C2213yescomplemented
125#2452C2213yescomplemented
126#2452C2213yescomplemented
127#2445C2213yescomplemented
128#2445C2213yescomplemented
129#2445C2213yescomplemented
130#2445C2213yescomplemented
131#2445C2213yescomplemented
132#2445C2213yescomplemented
133#2442C2213yescomplemented
134#2441C2213yescomplemented
135#2440C2213yescomplemented
136#2439C2213yescomplemented
137#2433C2213yes—
138#2433C2213yes—
139#2433C2213yes—
140#2422C2213yescomplemented
141#2422C2213yescomplemented
142#2422C2213yescomplemented
143#2422C2213yescomplemented
144#2420C2213yescomplemented
145#2420C2213yescomplemented
146#2418C2216yescomplemented
147#2412C2216yescomplemented
148#2411C2216yescomplemented
149#2411C2216yescomplemented
150#2411C2216yescomplemented
151#2408C2213yes—
152#2408C2213yes—
153#2408C2213yes—
154#2401C2213yescomplemented
155#2396C2213yescomplemented
156#2395C2213yescomplemented
157#2388C2213yes—
158#2366C2213yescomplemented
159#2366C2213yescomplemented
160#2363C2213yescomplemented
161#2363C2213yescomplemented
162#2363C2213yescomplemented
163#2361C2213yescomplemented
164#2358C2216yescomplemented
165#2357C2213yescomplemented
166#2354C2213yescomplemented
167#2354C2213yescomplemented
168#2354C2213yescomplemented
169#2354C2213yescomplemented
170#2352C2213yescomplemented
171#2351C2211yescharacteristic, complemented
172#2351C2211yescharacteristic, complemented
173#2351C2211yescharacteristic, complemented
174Q8×C4⋊C4C2211yescharacteristic, complemented
175Q8×C4⋊C4C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178Q8×C4⋊C4C2211yescharacteristic, complemented
179#2346C2213yescomplemented
180#2346C2213yescomplemented
181#2345C2213yescomplemented
182#2344C2213yescomplemented
183#2342C2216yescomplemented
184#2341C2211yescharacteristic
185#2341C2211yescharacteristic
186#2341C2211yescharacteristic
187#2341C2211yescharacteristic
188#2341C2211yescharacteristic
189#2341C2211yescharacteristic
190#2341C2211yescharacteristic
191#2341C2211yescharacteristic
192#2341C2211yescharacteristic
193#2341C2211yescharacteristic
194#2341C2211yescharacteristic
195#2341C2211yescharacteristic, complemented
196#2341C2211yescharacteristic, complemented
197#2341C2211yescharacteristic, complemented
198D4×C22⋊C4C2213yes—
199D4×C22⋊C4C2213yes—
200D4×C22⋊C4C2213yes—
201D4×C22⋊C4C2213yes—
202D4×C22⋊C4C2213yes—
203D4×C22⋊C4C2213yes—
204D4×C22⋊C4C2213yes—
205D4×C22⋊C4C2213yes—
206#2328C2213yescomplemented
207#2324C2213yescomplemented
208#2319C2213yescomplemented
209#2314C2213yescomplemented
210#2311C2213yes—
211#2311C2213yes—
212#2309C2213yes—
213#2309C2213yes—
214C4×#127C2213yescomplemented
215C4×#126C2213yescomplemented
216C4×#124C2213yescomplemented
217C4×C22⋊Q8C2213yescomplemented
218C4×#123C2213yescomplemented
219C4×#123C2213yescomplemented
220C4×#121C2213yescomplemented
221C4×#121C2213yescomplemented
222C4×#121C2213yescomplemented
223#2298C2213yescomplemented
224#2297C2213yes—
225#2297C2213yes—
226#2293C2213yescomplemented
227#2293C2213yescomplemented
228#2293C2213yescomplemented
229C2×#390C2213yes—
230C2×#390C2213yes—
231#2290C2213yescomplemented
232#2285C2213yescomplemented
233#2276C2211yescharacteristic, complemented
234C42×Q8C2211yescharacteristic, complemented
235C42×Q8C2211yescharacteristic, complemented
236C42×D4C2213yescomplemented
237C4×#117C2213yescomplemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—28no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2313yes—
244C22×#41C2311yescharacteristic
245C22×#41C2311yescharacteristic
246C23×D4C2313yes—
247C23×D4C2313yes—
248C23×D4C2313yes—
249#557—44no—
250#551—424no—
251#550—28no—
252#550—28no—
253#550—44no—
254C2×C4⋊Q8C2313yes—
255C2×#127C2313yes—
256C2×#127C2313yes—
257C2×#127C2313yes—
258C2×#126C2313yes—
259C2×#126C2316yes—
260C2×#126C2316yes—
261C2×#125C2313yes—
262C2×#125C2313yes—
263C2×#124C2313yes—
264C2×#124C2316yes—
265C2×#123C2313yes—
266C2×#123C2316yes—
267C2×#123C2313yes—
268C2×#123C2316yes—
269C2×#123C2316yes—
270C2×#123C2316yes—
271C2×C22⋊Q8C2313yes—
272C2×C22⋊Q8C2316yes—
273C2×#121C2313yes—
274C2×#121C2313yes—
275C2×#121C2313yes—
276C2×#121C2313yes—
277C2×#121C2313yes—
278C2×#121C2313yes—
279C2×#120C2316yes—
280C2×#120C2316yes—
281C2×#120C2316yes—
282#520—28no—
283#520—44no—
284C4×#41—28no—
285C4×#41—44no—
286C4×#41—44no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×Q8C2311yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×Q8C2313yes—
299C2×C4×D4C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×C4×D4C2313yes—
304C2×C4×D4C2313yes—
305C2×C4×D4C2313yes—
306C2×C4×D4C2313yes—
307C2×C4×D4C2316yes—
308C2×C4×D4C2313yes—
309C2×C4×D4C2313yes—
310C2×C4×D4C2313yes—
311C2×C4×D4C2313yes—
312C2×C4×D4C2313yes—
313C2×C4×D4C2313yes—
314C2×C4×D4C2316yes—
315C2×C4×D4C2313yes—
316C2×#117C2313yes—
317C2×#117C2313yes—
318C2×#117C2313yes—
319C2×#117C2313yes—
320C2×#117C2313yes—
321C2×#117C2313yes—
322C2×#117C2316yes—
323C2×#117C2313yes—
324C2×#117C2316yes—
325C22×C4⋊C4C2313yes—
326C22×C4⋊C4C2313yes—
327C22×C22⋊C4C2316yes—
328C22×C22⋊C4C2316yes—
329C22×C22⋊C4C2316yes—
330C22×C22⋊C4C2316yes—
331C22×C42C2313yes—
332C22×C42C2313yes—
333C22×C42C2313yes—
334#401C2313yes—
335#400C2313yes—
336#400C2313yes—
337#400C2313yes—
338#400C2311yescharacteristic
339#400C2313yes—
340#400C2316yes—
341#399C2316yes—
342#399C2313yes—
343#399C2313yes—
344#399C2316yes—
345#398C2313yes—
346#398C2311yescharacteristic
347#398C2311yescharacteristic
348#398C2316yes—
349#397C2313yes—
350#397C2316yes—
351#397C2316yes—
352#397C2313yes—
353#397C2313yes—
354#397C2316yes—
355#397C2316yes—
356#397C2313yes—
357#397C2313yes—
358#397C2313yes—
359#397C2316yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#396C2313yes—
364#396C2316yes—
365#396C2316yes—
366#396C2316yes—
367#396C2313yes—
368#396C2313yes—
369#396C2316yes—
370#396C2316yes—
371#396C2316yes—
372#395C2311yescharacteristic
373#395C2313yes—
374#394C2313yes—
375#394C2313yes—
376#394C2313yes—
377#394C2313yes—
378#394C2316yes—
379#394C2316yes—
380#394C2316yes—
381#394C2313yes—
382#394C2316yes—
383#394C2316yes—
384#394C2316yes—
385#394C2316yes—
386#394C2316yes—
387#394C2316yes—
388#394C2316yes—
389#393C2316yes—
390#393C2313yes—
391#393C2313yes—
392#392C2313yes—
393#392C2316yes—
394#392C2313yes—
395#392C2316yes—
396#392C2316yes—
397#392C2313yes—
398#391C2313yes—
399#391C2313yes—
400#391C2311yescharacteristic
401#391C2313yes—
402#391C2313yes—
403#391C2311yescharacteristic
404#390C2313yes—
405#390C2313yes—
406#390C2316yes—
407#390C2316yes—
408#390C2313yes—
409#390C2313yes—
410#390C2313yes—
411#390C2316yes—
412#390C2316yes—
413#390C2313yes—
414#390C2313yes—
415#390C2313yes—
416#390C2313yes—
417#390C2313yes—
418#390C2313yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2316yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2313yes—
430#390C2313yes—
431#390C2313yes—
432#390C2313yes—
433#390C2313yes—
434#390C2313yes—
435#390C2313yes—
436#390C2313yes—
437#390C2313yes—
438#390C2313yes—
439#390C2313yes—
440#390C2316yes—
441#390C2316yes—
442#390C2313yes—
443#390C2313yes—
444#389C2313yes—
445#389C2313yes—
446#389C2313yes—
447#389C2313yes—
448#389C2313yes—
449#389C2313yes—
450#389C2313yes—
451#389C2313yes—
452#389C2313yes—
453#389C2313yes—
454#389C2313yes—
455#389C2313yes—
456#389C2313yes—
457#389C2313yes—
458#389C2313yes—
459#389C2313yes—
460#389C2313yes—
461#388C2313yes—
462#388C2313yes—
463#388C2313yes—
464#388C2316yes—
465#388C2316yes—
466#388C2313yes—
467#388C2313yes—
468#388C2313yes—
469#388C2316yes—
470#388C2313yes—
471#388C2313yes—
472#388C2316yes—
473#388C2316yes—
474#388C2316yes—
475#388C2316yes—
476#388C2313yes—
477#388C2313yes—
478#388C2313yes—
479#388C2316yes—
480#388C2316yes—
481#388C2313yes—
482#388C2313yes—
483#388C2316yes—
484#388C2316yes—
485#388C2313yes—
486#388C2316yes—
487#388C2316yes—
488#388C2313yes—
489#388C2313yes—
490#388C2316yes—
491#388C2316yes—
492#388C2313yes—
493#387C2311yescharacteristic
494#387C2313yes—
495#387C2313yes—
496#387C2313yes—
497#387C2316yes—
498#387C2313yes—
499#387C2313yes—
500#387C2316yes—
501#387C2313yes—
502#387C2311yescharacteristic
503#387C2313yes—
504#387C2313yes—
505#387C2316yes—
506#387C2313yes—
507#387C2311yescharacteristic
508#387C2311yescharacteristic
509#387C2311yescharacteristic
510#387C2311yescharacteristic
511#386C2316yes—
512#386C2316yes—
513#386C2316yes—
514#386C2316yes—
515#386C2313yes—
516#386C2313yes—
517#386C2316yes—
518#386C2313yes—
519#386C2316yes—
520#386C2316yes—
521#386C2313yes—
522#386C2313yes—
523#386C2313yes—
524#386C2313yes—
525#386C2313yes—
526#386C2313yes—
527#386C2313yes—
528#386C2316yes—
529#386C2316yes—
530#386C2313yes—
531#386C2316yes—
532#386C2316yes—
533#386C2316yes—
534#386C2313yes—
535#385C2313yes—
536#385C2316yes—
537#385C2316yes—
538#385C2316yes—
539#385C2313yes—
540#385C2313yes—
541#385C2313yes—
542#385C2316yes—
543#385C2316yes—
544#385C2313yes—
545#385C2313yes—
546#384C2313yes—
547#384C2313yes—
548#384C2313yes—
549#384C2313yes—
550#384C2313yes—
551#383C2313yes—
552#382C2313yes—
553#382C2313yes—
554#382C2311yescharacteristic
555#382C2313yes—
556#382C2316yes—
557#381C2316yes—
558#381C2313yes—
559#381C2313yes—
560#380C2313yes—
561#380C2313yes—
562#380C2313yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2316yes—
570#380C2313yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2313yes—
575#380C2316yes—
576#380C2316yes—
577#380C2313yes—
578#379C2316yes—
579#379C2316yes—
580#379C2316yes—
581#379C2316yes—
582#379C2316yes—
583C4×C4⋊C4C2313yes—
584C4×C4⋊C4C2313yes—
585C4×C4⋊C4C2313yes—
586C4×C4⋊C4C2313yes—
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2311yescharacteristic
603C4×C4⋊C4C2311yescharacteristic
604C4×C22⋊C4C2313yes—
605C4×C22⋊C4C2313yes—
606C4×C22⋊C4C2313yes—
607C4×C22⋊C4C2313yes—
608C4×C22⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2316yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2316yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626#376C2313yes—
627#376C2313yes—
628#376C2313yes—
629C43C2313yes—
630C43C2313yes—
631C25C2416yes—
632H(5,𝔽2)—464no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—212no—
644C2×#41—212no—
645C2×#41—46no—
646C2×#41#4118yes—
647C2×#41#4118yes—
648C22×Q8C2411yescharacteristic
649C22×Q8C2413yes—
650C22×Q8C2411yescharacteristic
651C22×D4—212no—
652C22×D4—212no—
653C22×D4—212no—
654C22×D4—212no—
655C22×D4—212no—
656C22×D4—212no—
657C22×D4—46no—
658C22×D4—46no—
659C22×D4—46no—
660C22×D4C2413yes—
661C22×D4C2413yes—
662C22×D4C2413yes—
663C22×D4C2413yes—
664C22×D4C2413yes—
665C22×D4C2413yes—
666C22×D4C2413yes—
667C22×D4C2413yes—
668C22×D4C2416yes—
669C22×D4C2416yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2416yes—
673C23×C4C2413yes—
674C23×C4C2413yes—
675C23×C4C2413yes—
676C23×C4C2413yes—
677C23×C4C2413yes—
678C23×C4C2413yes—
679C23×C4C2416yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2416yes—
683C23×C4C2413yes—
684C23×C4C2413yes—
685C4⋊Q8—46no—
686#127—212no—
687#127—212no—
688#127—46no—
689#126—46no—
690#126—412no—
691#126—412no—
692#125—46no—
693#125—46no—
694#124—46no—
695#124—412no—
696#123—212no—
697#123—412no—
698#123—46no—
699#123—412no—
700#123—86no—
701#123—86no—
702C22⋊Q8—212no—
703C22⋊Q8—412no—
704#121—212no—
705#121—212no—
706#121—212no—
707#121—212no—
708#121—46no—
709#121—46no—
710#120—412no—
711#120—412no—
712#120—86no—
713C4×Q8—24no—
714C4×Q8—24no—
715C4×Q8—24no—
716C4×Q8—24no—
717C4×Q8—24no—
718C4×Q8—24no—
719C4×Q8—24no—
720C4×Q8—24no—
721C4×Q8—24no—
722C4×Q8—24no—
723C4×Q8—24no—
724C4×Q8—46no—
725C4×D4—212no—
726C4×D4—212no—
727C4×D4—212no—
728C4×D4—212no—
729C4×D4—212no—
730C4×D4—212no—
731C4×D4—46no—
732C4×D4—46no—
733C4×D4—46no—
734C4×D4—46no—
735C4×D4—46no—
736C4×D4—46no—
737C4×D4—46no—
738C4×D4—46no—
739C4×D4—46no—
740C4×D4—412no—
741C4×D4—412no—
742#117—212no—
743#117—212no—
744#117—212no—
745#117—46no—
746#117—46no—
747#117—412no—
748#117—46no—
749#117—46no—
750#117—86no—
751C2×C4⋊C4—212no—
752C2×C4⋊C4—46no—
753C2×C4⋊C4C2413yes—
754C2×C4⋊C4C2413yes—
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2413yes—
757C2×C4⋊C4C2413yes—
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2413yes—
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2413yes—
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2416yes—
779C2×C4⋊C4C2416yes—
780C2×C4⋊C4C2416yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2416yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2416yes—
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2416yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2411yescharacteristic
796C2×C22⋊C4—412no—
797C2×C22⋊C4—412no—
798C2×C22⋊C4—412no—
799C2×C22⋊C4—86no—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2413yes—
802C2×C22⋊C4C2413yes—
803C2×C22⋊C4C2413yes—
804C2×C22⋊C4C2413yes—
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2413yes—
807C2×C22⋊C4C2413yes—
808C2×C22⋊C4C2413yes—
809C2×C22⋊C4C2416yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2413yes—
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2413yes—
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2416yes—
822C2×C22⋊C4C2416yes—
823C2×C22⋊C4C2416yes—
824C2×C22⋊C4C2416yes—
825C2×C22⋊C4C2416yes—
826C2×C22⋊C4C2416yes—
827C2×C22⋊C4C2416yes—
828C2×C22⋊C4C2416yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2416yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2416yes—
833C2×C22⋊C4C2416yes—
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2416yes—
838C2×C22⋊C4C2416yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2416yes—
844C2×C22⋊C4C2416yes—
845C2×C22⋊C4C2413yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2416yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C42—212no—
856C2×C42—46no—
857C2×C42—46no—
858C2×C42C2413yes—
859C2×C42C2413yes—
860C2×C42C2413yes—
861C2×C42C2413yes—
862C2×C42C2413yes—
863C2×C42C2413yes—
864C2×C42C2413yes—
865C2×C42C2413yes—
866C2×C42C2411yescharacteristic
867C2×C42C2413yes—
868C2×C42C2413yes—
869C2×C42C2413yes—
870C2×C42C2413yes—
871C2×C42C2413yes—
872C2×C42C2413yes—
873C2×C42C2413yes—
874C2×C42C2411yescharacteristic
875C2×C42C2411yescharacteristic
876C2×C42C2413yes—
877C2×C42C2413yes—
878C2×C42C2413yes—
879C2×C42C2413yes—
880C2×C42C2416yes—
881C2×C42C2413yes—
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884#95C2411yescharacteristic
885#95C2411yescharacteristic
886#95C2411yescharacteristic
887#95C2413yes—
888#95C2413yes—
889#95C2413yes—
890#95C2413yes—
891#95C2413yes—
892#95C2413yes—
893#95C2413yes—
894#95C2413yes—
895#95C2413yes—
896#95C2411yescharacteristic
897#95C2411yescharacteristic
898#95C2413yes—
899#95C2411yescharacteristic
900#95C2411yescharacteristic
901#95C2411yescharacteristic
902#95C2411yescharacteristic
903#95C2411yescharacteristic
904#95C2411yescharacteristic
905#95C2411yescharacteristic
906#95C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2416yes—
924#95C2416yes—
925#95C2411yescharacteristic
926#95C2416yes—
927#95C2416yes—
928#95C2411yescharacteristic
929#95C2411yescharacteristic
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2416yes—
937C24—212no—
938C24—212no—
939C24—46no—
940C24—46no—
941C24—46no—
942C24—46no—
943C24—46no—
944C24C2513yes—
945C24C2513yes—
946C24C2513yes—
947C24C2513yes—
948#41—232no—
949#41—232no—
950#41—448no—
951#41—416no—
952#41—416no—
953C2×Q8—22no—
954C2×Q8—22no—
955C2×Q8—26no—
956C2×Q8—41no—
957C2×Q8—43no—
958C2×Q8—43no—
959C2×Q8C2×#4114yes—
960C2×Q8C2×#4114yes—
961C2×Q8H(5,𝔽2)14yes—
962C2×D4—26no—
963C2×D4—26no—
964C2×D4—26no—
965C2×D4—26no—
966C2×D4—26no—
967C2×D4—26no—
968C2×D4—212no—
969C2×D4—212no—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—26no—
975C2×D4—26no—
976C2×D4—26no—
977C2×D4—26no—
978C2×D4—26no—
979C2×D4—26no—
980C2×D4—26no—
981C2×D4—26no—
982C2×D4—26no—
983C2×D4—26no—
984C2×D4—448no—
985C2×D4—448no—
986C2×D4—43no—
987C2×D4—43no—
988C2×D4—43no—
989C2×D4—43no—
990C2×D4—46no—
991C2×D4—46no—
992C2×D4—43no—
993C2×D4—46no—
994C2×D4—43no—
995C2×D4—46no—
996C2×D4—43no—
997C2×D4—43no—
998C2×D4—46no—
999C2×D4—46no—
1000C2×D4—46no—
1001C2×D4—448no—
1002C2×D4C2×#41112yes—
1003C2×D4C2×#41112yes—
1004C22×C4—26no—
1005C22×C4—26no—
1006C22×C4—26no—
1007C22×C4—26no—
1008C22×C4—26no—
1009C22×C4—26no—
1010C22×C4—212no—
1011C22×C4—26no—
1012C22×C4—26no—
1013C22×C4—26no—
1014C22×C4—26no—
1015C22×C4—26no—
1016C22×C4—26no—
1017C22×C4—26no—
1018C22×C4—26no—
1019C22×C4—26no—
1020C22×C4—26no—
1021C22×C4—43no—
1022C22×C4—43no—
1023C22×C4—43no—
1024C22×C4—43no—
1025C22×C4—43no—
1026C22×C4—43no—
1027C22×C4—46no—
1028C22×C4—43no—
1029C22×C4—46no—
1030C22×C4—43no—
1031C22×C4—43no—
1032C22×C4—43no—
1033C22×C4—43no—
1034C22×C4—43no—
1035C22×C4—46no—
1036C22×C4—46no—
1037C22×C4—46no—
1038C22×C4C2×#41112yes—
1039C22×C4C2×#41112yes—
1040C22×C4C2511yescharacteristic
1041C22×C4C2511yescharacteristic
1042C22×C4C2511yescharacteristic
1043C22×C4C2511yescharacteristic
1044C22×C4C2511yescharacteristic
1045C22×C4C2511yescharacteristic
1046C22×C4C2511yescharacteristic
1047C22×C4C2513yes—
1048C22×C4C2513yes—
1049C22×C4C2513yes—
1050C22×C4C2513yes—
1051C22×C4C2513yes—
1052C22×C4C2513yes—
1053C22×C4C2513yes—
1054C22×C4C2513yes—
1055C22×C4C2513yes—
1056C22×C4C2513yes—
1057C22×C4C2513yes—
1058C22×C4C2511yescharacteristic
1059C22×C4C2511yescharacteristic
1060C22×C4C2511yescharacteristic
1061C22×C4C2511yescharacteristic
1062C22×C4C2511yescharacteristic
1063C22×C4C2511yescharacteristic
1064C22×C4C2511yescharacteristic
1065C22×C4C2511yescharacteristic
1066C22×C4C2513yes—
1067C4⋊C4—26no—
1068C4⋊C4—26no—
1069C4⋊C4—26no—
1070C4⋊C4—22no—
1071C4⋊C4—26no—
1072C4⋊C4—26no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—26no—
1076C4⋊C4—26no—
1077C4⋊C4—26no—
1078C4⋊C4—26no—
1079C4⋊C4—26no—
1080C4⋊C4—26no—
1081C4⋊C4—26no—
1082C4⋊C4—26no—
1083C4⋊C4—26no—
1084C4⋊C4—26no—
1085C4⋊C4—26no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—43no—
1091C4⋊C4—43no—
1092C4⋊C4—41no—
1093C4⋊C4—46no—
1094C4⋊C4—46no—
1095C4⋊C4—46no—
1096C4⋊C4—43no—
1097C4⋊C4—41no—
1098C4⋊C4—46no—
1099C4⋊C4—41no—
1100C4⋊C4—43no—
1101C4⋊C4—43no—
1102C4⋊C4—46no—
1103C4⋊C4—43no—
1104C4⋊C4—43no—
1105C4⋊C4—43no—
1106C4⋊C4—46no—
1107C4⋊C4—43no—
1108C4⋊C4—43no—
1109C4⋊C4H(5,𝔽2)14yescomplemented
1110C22⋊C4—26no—
1111C22⋊C4—26no—
1112C22⋊C4—212no—
1113C22⋊C4—26no—
1114C22⋊C4—26no—
1115C22⋊C4—26no—
1116C22⋊C4—26no—
1117C22⋊C4—26no—
1118C22⋊C4—26no—
1119C22⋊C4—26no—
1120C22⋊C4—26no—
1121C22⋊C4—26no—
1122C22⋊C4—26no—
1123C22⋊C4—26no—
1124C22⋊C4—26no—
1125C22⋊C4—26no—
1126C22⋊C4—26no—
1127C22⋊C4—26no—
1128C22⋊C4—26no—
1129C22⋊C4—46no—
1130C22⋊C4—46no—
1131C22⋊C4—46no—
1132C22⋊C4—46no—
1133C22⋊C4—46no—
1134C22⋊C4—46no—
1135C22⋊C4—43no—
1136C22⋊C4—43no—
1137C22⋊C4—46no—
1138C22⋊C4—46no—
1139C22⋊C4—43no—
1140C22⋊C4—43no—
1141C22⋊C4—43no—
1142C22⋊C4—46no—
1143C22⋊C4—46no—
1144C22⋊C4—46no—
1145C22⋊C4—43no—
1146C22⋊C4—43no—
1147C22⋊C4—43no—
1148C22⋊C4—43no—
1149C22⋊C4—46no—
1150C22⋊C4—46no—
1151C22⋊C4—46no—
1152C22⋊C4—46no—
1153C22⋊C4—43no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—43no—
1157C22⋊C4—43no—
1158C22⋊C4—43no—
1159C22⋊C4—46no—
1160C22⋊C4—43no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—43no—
1164C22⋊C4—43no—
1165C42—22no—
1166C42—26no—
1167C42—26no—
1168C42—26no—
1169C42—26no—
1170C42—26no—
1171C42—26no—
1172C42—26no—
1173C42—26no—
1174C42—26no—
1175C42—26no—
1176C42—26no—
1177C42—26no—
1178C42—26no—
1179C42—26no—
1180C42—26no—
1181C42—22no—
1182C42—22no—
1183C42—41no—
1184C42—41no—
1185C42—43no—
1186C42—43no—
1187C42—43no—
1188C42—46no—
1189C42—43no—
1190C42—43no—
1191C23—23no—
1192C23—23no—
1193C23—23no—
1194C23—23no—
1195C23—23no—
1196C23—23no—
1197C23—23no—
1198C23—23no—
1199C23—23no—
1200C23—23no—
1201C23—23no—
1202C23—23no—
1203C23—23no—
1204C23—23no—
1205C23—23no—
1206C23—23no—
1207C23—23no—
1208C23—23no—
1209C23—23no—
1210C23—23no—
1211C23—23no—
1212C23—23no—
1213C23—23no—
1214C23—23no—
1215C23—23no—
1216C23—23no—
1217C23—424no—
1218C23—812no—
1219C23—812no—
1220C23—812no—
1221C23—812no—
1222C23—166no—
1223C23—166no—
1224C23C22×#4116yes—
1225C23C22×#4116yes—
1226C23C2611yescharacteristic
1227Q8—44no—
1228Q8—86no—
1229Q8#551116yescomplemented
1230D4—224no—
1231D4—224no—
1232D4—412no—
1233D4—412no—
1234D4—412no—
1235D4—412no—
1236D4—412no—
1237D4—412no—
1238D4—86no—
1239D4—812no—
1240D4—86no—
1241D4—812no—
1242D4—166no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—224no—
1258C2×C4—224no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—23no—
1265C2×C4—23no—
1266C2×C4—23no—
1267C2×C4—23no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—21no—
1284C2×C4—23no—
1285C2×C4—23no—
1286C2×C4—23no—
1287C2×C4—23no—
1288C2×C4—23no—
1289C2×C4—21no—
1290C2×C4—23no—
1291C2×C4—21no—
1292C2×C4—23no—
1293C2×C4—21no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—21no—
1300C2×C4—23no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—23no—
1307C2×C4—23no—
1308C2×C4—23no—
1309C2×C4—23no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—23no—
1314C2×C4—23no—
1315C2×C4—21no—
1316C2×C4—412no—
1317C2×C4—412no—
1318C2×C4—412no—
1319C2×C4—412no—
1320C2×C4—86no—
1321C2×C4—86no—
1322C2×C4—812no—
1323C2×C4—86no—
1324C2×C4—86no—
1325C2×C4—166no—
1326C2×C4C22×#4112yes—
1327C2×C4C22×#4112yes—
1328C2×C4C22×#4116yes—
1329C2×C4C22×#4116yes—
1330C2×C4C2×H(5,𝔽2)12yes—
1331C2×C4C2×H(5,𝔽2)12yes—
1332C2×C4C2×H(5,𝔽2)12yes—
1333C2×C4C2×H(5,𝔽2)16yes—
1334C2×C4#58512yes—
1335C2×C4#58512yes—
1336C22—26no—
1337C22—26no—
1338C22—26no—
1339C22—26no—
1340C22—26no—
1341C22—26no—
1342C22—43no—
1343C22—43no—
1344C22—43no—
1345C22—43no—
1346C22—43no—
1347C22—43no—
1348C22—43no—
1349C22—43no—
1350C22—43no—
1351C22—43no—
1352C22—43no—
1353C22—43no—
1354C22—43no—
1355C22—43no—
1356C22—43no—
1357C22—43no—
1358C22—43no—
1359C22—43no—
1360C22—43no—
1361C22—43no—
1362C22—43no—
1363C22—43no—
1364C22—1624no—
1365C22C23×#4111yescharacteristic
1366C22C23×#4111yescharacteristic
1367C22C22×H(5,𝔽2)11yescharacteristic
1368C22C22×H(5,𝔽2)11yescharacteristic
1369C22C2×#58511yescharacteristic
1370C22C2×#58511yescharacteristic
1371C22H(7,𝔽2)11yescharacteristic
1372C4—22no—
1373C4—22no—
1374C4—22no—
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—43no—
1380C4—43no—
1381C4—43no—
1382C4—43no—
1383C4—41no—
1384C4—43no—
1385C4—43no—
1386C4—43no—
1387C4—43no—
1388C4—43no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—43no—
1393C4—41no—
1394C4—41no—
1395C4—43no—
1396C4—41no—
1397C4—41no—
1398C4C2×#551112yes—
1399C2—46no—
1400C2—46no—
1401C2—83no—
1402C2—83no—
1403C2C22×#55111yescharacteristic
1404C2#6280011yescharacteristic
1405C2#6281011yescharacteristic
1406C2#6292311yescharacteristic
1407C2#6298611yescharacteristic
1408C2#6300811yescharacteristic
1409C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36091C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59820C2semidirect
2. #59562C2semidirect
3. #59480C2semidirect
4. #59375C2semidirect
5. #59272C2semidirect
6. #45031C2semidirect
7. #44959C2semidirect
8. #44901C2semidirect
9. #44898C2semidirect
10. #39565C2semidirect
11. #39046C2semidirect
12. #38250C2semidirect
13. #37970C2semidirect
14. #36583C2semidirect
15. #36458C2semidirect
16. #36433C2semidirect
17. #36433C2semidirect
18. #36431C2semidirect
19. #36291C2semidirect
20. #36264C2semidirect
22. #36005C2semidirect
23. #35898C2semidirect
24. #35816C2semidirect
25. #34861C2semidirect
26. #34295C2semidirect
27. #34263C2semidirect
28. #34258C2semidirect
29. #34258C2semidirect
30. C4×#550C2semidirect
31. #34129C2semidirect
33. C2×#557C22semidirect
34. C2×#551C22semidirect
42. C2×C4×#41C22semidirect
43. #2860C22semidirect
44. #2858C22semidirect
45. #2854C22semidirect
46. #2854C22semidirect
47. #2851C22semidirect
48. #2797C22semidirect
49. #2778C22semidirect
50. #2761C22semidirect
51. #2754C22semidirect
52. #2753C22semidirect
53. #2749C22semidirect
54. #2735C22semidirect
55. #2730C22semidirect
56. #2706C22semidirect
57. #2705C22semidirect
58. #2697C22semidirect
59. #2693C22semidirect
60. #2685C22semidirect
61. #2684C22semidirect
62. #2644C22semidirect
63. #2629C22semidirect
64. #2624C22semidirect
66. #2610C22semidirect
67. #2605C22semidirect
68. #2603C22semidirect
69. #2603C22semidirect
70. #2601C22semidirect
71. #2600C22semidirect
72. #2598C22semidirect
73. #2597C22semidirect
74. #2595C22semidirect
75. #2589C22semidirect
76. #2580C22semidirect
77. #2576C22semidirect
78. #2566C22semidirect
79. #2566C22semidirect
80. #2557C22semidirect
81. #2554C22semidirect
82. #2548C22semidirect
83. #2547C22semidirect
84. #2538C22semidirect
85. #2534C22semidirect
86. #2531C22semidirect
87. #2527C22semidirect
88. #2520C22semidirect
89. #2516C22semidirect
90. #2513C22semidirect
91. #2513C22semidirect
92. #2512C22semidirect
93. #2512C22semidirect
94. #2512C22semidirect
95. #2512C22semidirect
96. #2501C22semidirect
97. #2500C22semidirect
98. #2500C22semidirect
99. #2497C22semidirect
100. #2497C22semidirect
101. #2496C22semidirect
102. #2496C22semidirect
103. #2495C22semidirect
104. #2494C22semidirect
105. #2490C22semidirect
106. #2490C22semidirect
107. #2490C22semidirect
108. #2490C22semidirect
109. #2487C22semidirect
110. #2485C22semidirect
111. #2485C22semidirect
112. #2480C22semidirect
113. #2480C22semidirect
114. #2477C22semidirect
115. #2477C22semidirect
116. #2472C22semidirect
117. #2471C22semidirect
118. #2471C22semidirect
119. #2471C22semidirect
120. #2467C22semidirect
121. #2461C22semidirect
122. #2457C22semidirect
123. #2454C22semidirect
124. #2454C22semidirect
125. #2452C22semidirect
126. #2452C22semidirect
127. #2445C22semidirect
128. #2445C22semidirect
129. #2445C22semidirect
130. #2445C22semidirect
131. #2445C22semidirect
132. #2445C22semidirect
133. #2442C22semidirect
134. #2441C22semidirect
135. #2440C22semidirect
136. #2439C22semidirect
140. #2422C22semidirect
141. #2422C22semidirect
142. #2422C22semidirect
143. #2422C22semidirect
144. #2420C22semidirect
145. #2420C22semidirect
146. #2418C22semidirect
147. #2412C22semidirect
148. #2411C22semidirect
149. #2411C22semidirect
150. #2411C22semidirect
154. #2401C22semidirect
155. #2396C22semidirect
156. #2395C22semidirect
158. #2366C22semidirect
159. #2366C22semidirect
160. #2363C22semidirect
161. #2363C22semidirect
162. #2363C22semidirect
163. #2361C22semidirect
164. #2358C22semidirect
165. #2357C22semidirect
166. #2354C22semidirect
167. #2354C22semidirect
168. #2354C22semidirect
169. #2354C22semidirect
170. #2352C22semidirect
171. #2351C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. Q8×C4⋊C4C22semidirect
175. Q8×C4⋊C4C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
178. Q8×C4⋊C4C22semidirect
179. #2346C22semidirect
180. #2346C22semidirect
181. #2345C22semidirect
182. #2344C22semidirect
183. #2342C22semidirect
195. #2341C22semidirect
196. #2341C22semidirect
197. #2341C22semidirect
206. #2328C22semidirect
207. #2324C22semidirect
208. #2319C22semidirect
209. #2314C22semidirect
214. C4×#127C22semidirect
215. C4×#126C22semidirect
216. C4×#124C22semidirect
217. C4×C22⋊Q8C22semidirect
218. C4×#123C22semidirect
219. C4×#123C22semidirect
220. C4×#121C22semidirect
221. C4×#121C22semidirect
222. C4×#121C22semidirect
223. #2298C22semidirect
226. #2293C22semidirect
227. #2293C22semidirect
228. #2293C22semidirect
231. #2290C22semidirect
232. #2285C22semidirect
233. #2276C22semidirect
234. C42×Q8C22semidirect
235. C42×Q8C22semidirect
236. C42×D4C22semidirect
237. C4×#117C22semidirect
1109. C4⋊C4H(5,𝔽2)semidirect
1229. Q8#551semidirect

Maximal subgroups

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

subgroupindex
#598202
#595622
#594802
#593752
#592722
#450312
#449592
#449012
#448982
#395652
#390462
#382502
#379702
#365832
#364582
#364332
#364312
#362912
#362642
#360912
#360052
#358982
#358162
#348612
#342952
#342632
#342582
C4×#5502
#341292