Finite Group Databasebeta

← #7698660

Subgroups — #7698660

Order 512.

5627 conjugacy classes of subgroups.

The subgroup lattice has 1375 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59488C213yesmaximal, complemented
2#59424C213yesmaximal, complemented
3#59272C213yesmaximal, complemented
4#52197C213yesmaximal, complemented
5#45365C213yesmaximal, complemented
6#45171C213yesmaximal, complemented
7#45126C213yesmaximal, complemented
8#45088C213yesmaximal, complemented
9#45006C213yesmaximal, complemented
10#44901C213yesmaximal, complemented
11#39564C213yesmaximal, complemented
12#39070C213yesmaximal, complemented
13#38202C213yesmaximal, complemented
14#38112C213yesmaximal, complemented
15#38054C213yesmaximal, complemented
16#37971C213yesmaximal, complemented
17#36458C211yesmaximal, characteristic, complemented
18#36432C211yesmaximal, characteristic, complemented
19#36431C211yesmaximal, characteristic, complemented
20#36082C211yesmaximal, characteristic
21#35996C211yesmaximal, characteristic, complemented
22#35898C211yesmaximal, characteristic, complemented
23#35854C211yesmaximal, characteristic, complemented
24#35816C211yesmaximal, characteristic, complemented
25#35801C211yesmaximal, characteristic, complemented
26#34312C211yesmaximal, characteristic, complemented
27#34293C211yesmaximal, characteristic, complemented
28#34263C211yesmaximal, characteristic, complemented
29#34258C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31#34193C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#520C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#519C2211yescharacteristic, complemented
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2860C2213yescomplemented
43#2855C2213yescomplemented
44#2851C2213yescomplemented
45#2797C2216yescomplemented
46#2786C2216yescomplemented
47#2782C2216yescomplemented
48#2761C2216yescomplemented
49#2759C2213yescomplemented
50#2758C2213yescomplemented
51#2757C2213yescomplemented
52#2757C2216yescomplemented
53#2756C2213yescomplemented
54#2755C2213yescomplemented
55#2754C2211yescharacteristic, complemented
56#2753C2213yescomplemented
57#2752C2213yescomplemented
58#2751C2213yescomplemented
59#2750C2213yescomplemented
60#2749C2213yescomplemented
61#2746C2213yescomplemented
62#2743C2216yescomplemented
63#2740C2213yescomplemented
64#2740C2216yescomplemented
65#2737C2216yescomplemented
66#2736C2216yescomplemented
67#2735C2216yescomplemented
68#2735C2216yescomplemented
69#2723C2213yescomplemented
70#2705C2213yescomplemented
71#2696C2213yescomplemented
72#2696C2216yescomplemented
73#2685C2216yescomplemented
74#2644C2213yescomplemented
75#2640C2213yescomplemented
76#2629C2213yescomplemented
77#2625C2213yescomplemented
78#2624C2213yescomplemented
79#2616C2213yes—
80#2609C2216yescomplemented
81#2601C2216yescomplemented
82#2597C2216yescomplemented
83#2595C2216yescomplemented
84#2592C2213yescomplemented
85#2580C2213yescomplemented
86#2578C2216yescomplemented
87#2576C2216yescomplemented
88#2566C2213yescomplemented
89#2566C2213yescomplemented
90#2563C2213yescomplemented
91#2561C2216yescomplemented
92#2560C2216yescomplemented
93#2554C2216yescomplemented
94#2538C2213yescomplemented
95#2520C2216yescomplemented
96#2513C2213yescomplemented
97#2513C2213yescomplemented
98#2512C2213yescomplemented
99#2512C2213yescomplemented
100#2512C2213yescomplemented
101#2512C2213yescomplemented
102#2502C2213yescomplemented
103#2500C2213yescomplemented
104#2499C2213yescomplemented
105#2497C2213yescomplemented
106#2497C2213yescomplemented
107#2496C2213yescomplemented
108#2496C2213yescomplemented
109#2495C2213yescomplemented
110#2494C2213yescomplemented
111#2490C2213yescomplemented
112#2490C2213yescomplemented
113#2489C2213yescomplemented
114#2489C2213yescomplemented
115#2486C2213yescomplemented
116#2485C2213yescomplemented
117#2485C2213yescomplemented
118#2483C2216yescomplemented
119#2482C2216yescomplemented
120#2480C2216yescomplemented
121#2480C2216yescomplemented
122#2480C2216yescomplemented
123#2480C2216yescomplemented
124#2479C2216yescomplemented
125#2454C2213yescomplemented
126#2454C2213yescomplemented
127#2452C2213yescomplemented
128#2452C2213yescomplemented
129#2448C2213yescomplemented
130#2448C2213yescomplemented
131#2447C2213yescomplemented
132#2447C2213yescomplemented
133#2447C2213yescomplemented
134#2447C2213yescomplemented
135#2442C2213yescomplemented
136#2441C2213yescomplemented
137#2440C2213yescomplemented
138#2439C2213yescomplemented
139#2437C2216yescomplemented
140#2435C2213yes—
141#2435C2213yes—
142#2435C2213yes—
143#2423C2213yescomplemented
144#2422C2213yescomplemented
145#2422C2213yescomplemented
146#2422C2213yescomplemented
147#2421C2213yescomplemented
148#2420C2213yescomplemented
149#2412C2216yescomplemented
150#2411C2216yescomplemented
151#2411C2216yescomplemented
152#2408C2213yes—
153#2408C2213yes—
154#2408C2213yes—
155#2401C2213yescomplemented
156#2398C2213yescomplemented
157#2396C2213yescomplemented
158#2395C2213yescomplemented
159#2395C2213yescomplemented
160#2388C2213yes—
161#2367C2213yescomplemented
162#2367C2213yescomplemented
163#2363C2213yescomplemented
164#2363C2213yescomplemented
165#2362C2213yescomplemented
166#2360C2213yescomplemented
167#2357C2213yescomplemented
168#2354C2213yescomplemented
169#2354C2213yescomplemented
170#2354C2213yescomplemented
171#2354C2213yescomplemented
172#2352C2213yescomplemented
173#2351C2211yescharacteristic, complemented
174#2351C2211yescharacteristic, complemented
175#2351C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178Q8×C4⋊C4C2211yescharacteristic, complemented
179Q8×C4⋊C4C2211yescharacteristic, complemented
180Q8×C4⋊C4C2211yescharacteristic, complemented
181#2347C2213yescomplemented
182#2347C2213yescomplemented
183#2345C2213yescomplemented
184#2344C2213yescomplemented
185#2342C2216yescomplemented
186#2341C2211yescharacteristic
187#2341C2211yescharacteristic
188#2341C2211yescharacteristic
189#2341C2211yescharacteristic
190#2341C2211yescharacteristic
191#2341C2211yescharacteristic
192#2341C2211yescharacteristic
193#2341C2211yescharacteristic
194#2341C2211yescharacteristic
195#2341C2211yescharacteristic
196#2341C2211yescharacteristic
197Q8×C22⋊C4C2211yescharacteristic, complemented
198Q8×C22⋊C4C2211yescharacteristic, complemented
199Q8×C22⋊C4C2211yescharacteristic, complemented
200D4×C22⋊C4C2213yes—
201D4×C22⋊C4C2213yes—
202D4×C22⋊C4C2213yes—
203D4×C22⋊C4C2213yes—
204D4×C22⋊C4C2213yes—
205D4×C22⋊C4C2213yes—
206D4×C22⋊C4C2213yes—
207D4×C22⋊C4C2213yes—
208#2326C2213yescomplemented
209#2324C2213yescomplemented
210#2324C2213yescomplemented
211#2323C2213yescomplemented
212#2319C2213yescomplemented
213#2319C2213yescomplemented
214#2319C2213yescomplemented
215#2314C2213yescomplemented
216#2311C2213yes—
217#2311C2213yes—
218#2309C2213yes—
219#2309C2213yes—
220C4×#126C2213yescomplemented
221C4×#124C2213yescomplemented
222C4×C22⋊Q8C2213yescomplemented
223C4×C22⋊Q8C2213yescomplemented
224C4×#123C2213yescomplemented
225#2298C2213yescomplemented
226#2297C2213yes—
227#2297C2213yes—
228#2293C2213yescomplemented
229#2293C2213yescomplemented
230C2×#390C2213yes—
231C2×#390C2213yes—
232#2290C2213yescomplemented
233#2285C2213yescomplemented
234#2283C2213yescomplemented
235#2276C2211yescharacteristic, complemented
236#2276C2211yescharacteristic, complemented
237C42×Q8C2211yescharacteristic, complemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—28no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2313yes—
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C23×Q8C2311yescharacteristic
246C23×D4C2313yes—
247C23×D4C2313yes—
248C23×D4C2313yes—
249#557—44no—
250#548—28no—
251#548—28no—
252#548—44no—
253C2×C4⋊Q8C2313yes—
254C2×#126C2313yes—
255C2×#126C2316yes—
256C2×#126C2316yes—
257C2×#125C2313yes—
258C2×#125C2313yes—
259C2×#124C2313yes—
260C2×#124C2313yes—
261C2×#124C2313yes—
262C2×#123C2313yes—
263C2×#123C2316yes—
264C2×C22⋊Q8C2313yes—
265C2×C22⋊Q8C2313yes—
266C2×C22⋊Q8C2313yes—
267C2×C22⋊Q8C2313yes—
268C2×C22⋊Q8C2316yes—
269C2×#121C2313yes—
270C2×#121C2313yes—
271C2×#121C2313yes—
272C2×#120C2316yes—
273#520—28no—
274#520—44no—
275#519—44no—
276C4×#41—28no—
277C4×#41—44no—
278C2×C4×Q8C2311yescharacteristic
279C2×C4×Q8C2311yescharacteristic
280C2×C4×Q8C2311yescharacteristic
281C2×C4×Q8C2311yescharacteristic
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2313yes—
290C2×C4×Q8C2313yes—
291C2×C4×Q8C2313yes—
292C2×C4×D4C2313yes—
293C2×C4×D4C2313yes—
294C2×C4×D4C2313yes—
295C2×C4×D4C2313yes—
296C2×C4×D4C2313yes—
297C2×C4×D4C2313yes—
298C2×C4×D4C2313yes—
299C2×C4×D4C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×#117C2313yes—
304C2×#117C2313yes—
305C2×#117C2313yes—
306C2×#117C2313yes—
307C2×#117C2313yes—
308C2×#117C2313yes—
309C2×#117C2316yes—
310C2×#117C2316yes—
311C22×C4⋊C4C2313yes—
312C22×C4⋊C4C2313yes—
313C22×C22⋊C4C2316yes—
314C22×C22⋊C4C2316yes—
315C22×C22⋊C4C2316yes—
316C22×C22⋊C4C2316yes—
317C22×C42C2313yes—
318C22×C42C2313yes—
319#401C2313yes—
320#400C2313yes—
321#400C2313yes—
322#400C2313yes—
323#400C2313yes—
324#400C2313yes—
325#400C2311yescharacteristic
326#400C2313yes—
327#400C2313yes—
328#400C2316yes—
329#399C2316yes—
330#399C2316yes—
331#399C2311yescharacteristic
332#399C2313yes—
333#399C2313yes—
334#398C2316yes—
335#398C2313yes—
336#398C2313yes—
337#398C2313yes—
338#398C2316yes—
339#398C2311yescharacteristic
340#397C2316yes—
341#397C2316yes—
342#397C2316yes—
343#397C2316yes—
344#397C2313yes—
345#397C2316yes—
346#397C2316yes—
347#397C2316yes—
348#397C2316yes—
349#397C2316yes—
350#397C2316yes—
351#397C2313yes—
352#397C2316yes—
353#397C2311yescharacteristic
354#397C2313yes—
355#397C2313yes—
356#397C2313yes—
357#397C2313yes—
358#397C2313yes—
359#397C2311yescharacteristic
360#397C2313yes—
361#397C2313yes—
362#397C2316yes—
363#396C2313yes—
364#396C2316yes—
365#396C2316yes—
366#396C2316yes—
367#396C2316yes—
368#396C2316yes—
369#396C2316yes—
370#396C2313yes—
371#396C2313yes—
372#395C2313yes—
373#395C2313yes—
374#394C2313yes—
375#394C2313yes—
376#394C2316yes—
377#394C2316yes—
378#394C2316yes—
379#394C2313yes—
380#394C2316yes—
381#394C2313yes—
382#394C2313yes—
383#394C2313yes—
384#394C2313yes—
385#394C2313yes—
386#394C2313yes—
387#394C2316yes—
388#393C2316yes—
389#393C2313yes—
390#393C2316yes—
391#393C2313yes—
392#393C2311yescharacteristic
393#393C2313yes—
394#392C2313yes—
395#392C2313yes—
396#392C2313yes—
397#391C2313yes—
398#391C2313yes—
399#391C2313yes—
400#391C2313yes—
401#391C2313yes—
402#391C2313yes—
403#391C2313yes—
404#391C2313yes—
405#391C2313yes—
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#390C2316yes—
409#390C2316yes—
410#390C2313yes—
411#390C2313yes—
412#390C2313yes—
413#390C2316yes—
414#390C2313yes—
415#390C2313yes—
416#390C2313yes—
417#390C2313yes—
418#390C2313yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2316yes—
430#390C2313yes—
431#390C2313yes—
432#390C2313yes—
433#390C2313yes—
434#390C2313yes—
435#390C2313yes—
436#390C2313yes—
437#390C2313yes—
438#390C2313yes—
439#390C2313yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
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#388C2313yes—
460#388C2313yes—
461#388C2313yes—
462#388C2316yes—
463#388C2316yes—
464#388C2316yes—
465#388C2313yes—
466#388C2316yes—
467#388C2316yes—
468#388C2316yes—
469#388C2316yes—
470#388C2316yes—
471#388C2316yes—
472#388C2316yes—
473#388C2316yes—
474#388C2316yes—
475#388C2316yes—
476#388C2316yes—
477#388C2316yes—
478#388C2316yes—
479#388C2316yes—
480#388C2316yes—
481#388C2316yes—
482#388C2316yes—
483#388C2313yes—
484#388C2313yes—
485#388C2313yes—
486#388C2313yes—
487#388C2313yes—
488#388C2313yes—
489#388C2313yes—
490#388C2313yes—
491#388C2311yescharacteristic
492#388C2311yescharacteristic
493#388C2311yescharacteristic
494#387C2311yescharacteristic
495#387C2313yes—
496#387C2313yes—
497#387C2313yes—
498#387C2313yes—
499#387C2316yes—
500#387C2316yes—
501#387C2316yes—
502#387C2316yes—
503#387C2316yes—
504#387C2313yes—
505#387C2313yes—
506#387C2313yes—
507#387C2316yes—
508#387C2313yes—
509#387C2313yes—
510#387C2311yescharacteristic
511#387C2313yes—
512#387C2311yescharacteristic
513#386C2316yes—
514#386C2316yes—
515#386C2316yes—
516#386C2316yes—
517#386C2313yes—
518#386C2313yes—
519#386C2316yes—
520#386C2313yes—
521#386C2313yes—
522#386C2313yes—
523#386C2313yes—
524#386C2313yes—
525#386C2313yes—
526#386C2313yes—
527#386C2313yes—
528#386C2313yes—
529#385C2313yes—
530#385C2316yes—
531#385C2316yes—
532#385C2316yes—
533#385C2316yes—
534#385C2316yes—
535#385C2313yes—
536#385C2313yes—
537#385C2316yes—
538#385C2316yes—
539#385C2316yes—
540#385C2313yes—
541#385C2316yes—
542#385C2313yes—
543#384C2313yes—
544#384C2313yes—
545#384C2313yes—
546#384C2313yes—
547#384C2313yes—
548#383C2313yes—
549#383C2313yes—
550#383C2313yes—
551#382C2316yes—
552#382C2313yes—
553#382C2313yes—
554#382C2313yes—
555#382C2311yescharacteristic
556#382C2313yes—
557#381C2313yes—
558#381C2316yes—
559#381C2313yes—
560#381C2316yes—
561#381C2316yes—
562#381C2313yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2316yes—
575#380C2316yes—
576#380C2316yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#380C2313yes—
583#379C2316yes—
584#379C2316yes—
585#379C2316yes—
586#379C2316yes—
587#379C2316yes—
588#379C2316yes—
589#379C2316yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2316yes—
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⋊C4C2316yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2316yes—
613C4×C22⋊C4C2316yes—
614C4×C22⋊C4C2316yes—
615C4×C22⋊C4C2316yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627#376C2313yes—
628#376C2313yes—
629C43C2313yes—
630C25C2416yes—
631H(5,𝔽2)—464no—
632C2×#41—24no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—212no—
640C2×#41—212no—
641C2×#41—46no—
642C2×#41#4118yes—
643C2×#41#4118yes—
644C22×Q8—24no—
645C22×Q8—24no—
646C22×Q8—24no—
647C22×Q8C2413yes—
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×D4C2413yes—
669C23×C4C2413yes—
670C23×C4C2413yes—
671C23×C4C2413yes—
672C23×C4C2413yes—
673C23×C4C2413yes—
674C23×C4C2416yes—
675C23×C4C2413yes—
676C23×C4C2416yes—
677C23×C4C2413yes—
678C23×C4C2413yes—
679C4⋊Q8—46no—
680#126—46no—
681#126—86no—
682#126—86no—
683#125—46no—
684#125—46no—
685#124—212no—
686#124—212no—
687#124—46no—
688#123—46no—
689#123—86no—
690C22⋊Q8—212no—
691C22⋊Q8—212no—
692C22⋊Q8—46no—
693C22⋊Q8—46no—
694C22⋊Q8—86no—
695#121—212no—
696#121—212no—
697#121—46no—
698#120—86no—
699C4×Q8—24no—
700C4×Q8—24no—
701C4×Q8—24no—
702C4×Q8—24no—
703C4×Q8—24no—
704C4×Q8—24no—
705C4×Q8—24no—
706C4×Q8—24no—
707C4×Q8—24no—
708C4×Q8—24no—
709C4×Q8—24no—
710C4×Q8—46no—
711C4×Q8—46no—
712C4×Q8—46no—
713C4×D4—212no—
714C4×D4—212no—
715C4×D4—212no—
716C4×D4—212no—
717C4×D4—212no—
718C4×D4—212no—
719C4×D4—46no—
720C4×D4—46no—
721C4×D4—46no—
722C4×D4—46no—
723C4×D4—46no—
724#117—212no—
725#117—212no—
726#117—46no—
727#117—46no—
728#117—46no—
729#117—46no—
730#117—86no—
731#117—86no—
732C2×C4⋊C4—212no—
733C2×C4⋊C4—46no—
734C2×C4⋊C4C2413yes—
735C2×C4⋊C4C2413yes—
736C2×C4⋊C4C2413yes—
737C2×C4⋊C4C2413yes—
738C2×C4⋊C4C2413yes—
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2413yes—
741C2×C4⋊C4C2413yes—
742C2×C4⋊C4C2413yes—
743C2×C4⋊C4C2413yes—
744C2×C4⋊C4C2413yes—
745C2×C4⋊C4C2413yes—
746C2×C4⋊C4C2413yes—
747C2×C4⋊C4C2413yes—
748C2×C4⋊C4C2413yes—
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2413yes—
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2413yes—
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2413yes—
757C2×C4⋊C4C2413yes—
758C2×C4⋊C4C2413yes—
759C2×C4⋊C4C2416yes—
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2413yes—
765C2×C4⋊C4C2416yes—
766C2×C4⋊C4C2416yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2416yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2416yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2416yes—
779C2×C22⋊C4—412no—
780C2×C22⋊C4—86no—
781C2×C22⋊C4—86no—
782C2×C22⋊C4—86no—
783C2×C22⋊C4C2413yes—
784C2×C22⋊C4C2413yes—
785C2×C22⋊C4C2413yes—
786C2×C22⋊C4C2413yes—
787C2×C22⋊C4C2416yes—
788C2×C22⋊C4C2411yescharacteristic
789C2×C22⋊C4C2411yescharacteristic
790C2×C22⋊C4C2413yes—
791C2×C22⋊C4C2413yes—
792C2×C22⋊C4C2416yes—
793C2×C22⋊C4C2416yes—
794C2×C22⋊C4C2411yescharacteristic
795C2×C22⋊C4C2413yes—
796C2×C22⋊C4C2413yes—
797C2×C22⋊C4C2413yes—
798C2×C22⋊C4C2413yes—
799C2×C22⋊C4C2413yes—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2416yes—
802C2×C22⋊C4C2416yes—
803C2×C22⋊C4C2416yes—
804C2×C22⋊C4C2416yes—
805C2×C22⋊C4C2416yes—
806C2×C22⋊C4C2416yes—
807C2×C22⋊C4C2416yes—
808C2×C22⋊C4C2416yes—
809C2×C22⋊C4C2411yescharacteristic
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2416yes—
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2416yes—
816C2×C22⋊C4C2416yes—
817C2×C22⋊C4C2411yescharacteristic
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2416yes—
820C2×C22⋊C4C2416yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2411yescharacteristic
834C2×C22⋊C4C2411yescharacteristic
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C42—212no—
840C2×C42—46no—
841C2×C42C2413yes—
842C2×C42C2413yes—
843C2×C42C2413yes—
844C2×C42C2413yes—
845C2×C42C2413yes—
846C2×C42C2413yes—
847C2×C42C2413yes—
848C2×C42C2413yes—
849C2×C42C2413yes—
850C2×C42C2413yes—
851C2×C42C2413yes—
852C2×C42C2413yes—
853C2×C42C2411yescharacteristic
854C2×C42C2413yes—
855C2×C42C2416yes—
856C2×C42C2413yes—
857C2×C42C2416yes—
858C2×C42C2416yes—
859C2×C42C2413yes—
860C2×C42C2413yes—
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863#95C2411yescharacteristic
864#95C2411yescharacteristic
865#95C2413yes—
866#95C2413yes—
867#95C2413yes—
868#95C2413yes—
869#95C2413yes—
870#95C2413yes—
871#95C2413yes—
872#95C2411yescharacteristic
873#95C2411yescharacteristic
874#95C2411yescharacteristic
875#95C2411yescharacteristic
876#95C2411yescharacteristic
877#95C2411yescharacteristic
878#95C2411yescharacteristic
879#95C2411yescharacteristic
880#95C2411yescharacteristic
881#95C2411yescharacteristic
882#95C2411yescharacteristic
883#95C2413yes—
884#95C2413yes—
885#95C2413yes—
886#95C2413yes—
887#95C2413yes—
888#95C2413yes—
889#95C2413yes—
890#95C2413yes—
891#95C2413yes—
892#95C2413yes—
893#95C2413yes—
894#95C2413yes—
895#95C2413yes—
896#95C2413yes—
897#95C2413yes—
898#95C2416yes—
899#95C2416yes—
900#95C2413yes—
901#95C2413yes—
902#95C2416yes—
903#95C2413yes—
904#95C2413yes—
905#95C2411yescharacteristic
906#95C2416yes—
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2413yes—
910#95C2416yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2416yes—
921#95C2416yes—
922C24—212no—
923C24—212no—
924C24—46no—
925C24—46no—
926C24—46no—
927C24—46no—
928C24—46no—
929C24C2513yes—
930C24C2511yescharacteristic
931C24C2513yes—
932C24C2513yes—
933#41—232no—
934#41—232no—
935#41—448no—
936#41—416no—
937C2×Q8—26no—
938C2×Q8—26no—
939C2×Q8—22no—
940C2×Q8—22no—
941C2×Q8—26no—
942C2×Q8—41no—
943C2×Q8—43no—
944C2×Q8—43no—
945C2×Q8—43no—
946C2×Q8—416no—
947C2×Q8C2×#4114yes—
948C2×Q8C2×#4114yes—
949C2×Q8H(5,𝔽2)14yes—
950C2×D4—26no—
951C2×D4—26no—
952C2×D4—26no—
953C2×D4—26no—
954C2×D4—26no—
955C2×D4—26no—
956C2×D4—26no—
957C2×D4—26no—
958C2×D4—26no—
959C2×D4—26no—
960C2×D4—26no—
961C2×D4—26no—
962C2×D4—26no—
963C2×D4—26no—
964C2×D4—26no—
965C2×D4—448no—
966C2×D4—448no—
967C2×D4—43no—
968C2×D4—43no—
969C2×D4—43no—
970C2×D4—43no—
971C2×D4—43no—
972C2×D4—43no—
973C2×D4—43no—
974C2×D4—43no—
975C2×D4—43no—
976C2×D4—43no—
977C2×D4—448no—
978C2×D4C2×#41112yes—
979C2×D4C2×#41112yes—
980C22×C4—26no—
981C22×C4—26no—
982C22×C4—26no—
983C22×C4—26no—
984C22×C4—26no—
985C22×C4—26no—
986C22×C4—212no—
987C22×C4—26no—
988C22×C4—26no—
989C22×C4—26no—
990C22×C4—26no—
991C22×C4—26no—
992C22×C4—26no—
993C22×C4—26no—
994C22×C4—43no—
995C22×C4—43no—
996C22×C4—43no—
997C22×C4—43no—
998C22×C4—43no—
999C22×C4—43no—
1000C22×C4—46no—
1001C22×C4—46no—
1002C22×C4—43no—
1003C22×C4—43no—
1004C22×C4—43no—
1005C22×C4—46no—
1006C22×C4—46no—
1007C22×C4—46no—
1008C22×C4C2×#41112yes—
1009C22×C4C2×#41112yes—
1010C22×C4C2511yescharacteristic
1011C22×C4C2511yescharacteristic
1012C22×C4C2511yescharacteristic
1013C22×C4C2511yescharacteristic
1014C22×C4C2511yescharacteristic
1015C22×C4C2511yescharacteristic
1016C22×C4C2513yes—
1017C22×C4C2513yes—
1018C22×C4C2511yescharacteristic
1019C22×C4C2513yes—
1020C22×C4C2513yes—
1021C22×C4C2511yescharacteristic
1022C22×C4C2511yescharacteristic
1023C22×C4C2513yes—
1024C22×C4C2513yes—
1025C22×C4C2513yes—
1026C22×C4C2513yes—
1027C22×C4C2513yes—
1028C22×C4C2513yes—
1029C22×C4C2513yes—
1030C22×C4C2513yes—
1031C22×C4C2511yescharacteristic
1032C22×C4C2511yescharacteristic
1033C22×C4C2511yescharacteristic
1034C22×C4C2511yescharacteristic
1035C22×C4C2511yescharacteristic
1036C22×C4C2513yes—
1037C4⋊C4—26no—
1038C4⋊C4—26no—
1039C4⋊C4—26no—
1040C4⋊C4—22no—
1041C4⋊C4—26no—
1042C4⋊C4—26no—
1043C4⋊C4—26no—
1044C4⋊C4—26no—
1045C4⋊C4—26no—
1046C4⋊C4—26no—
1047C4⋊C4—26no—
1048C4⋊C4—26no—
1049C4⋊C4—26no—
1050C4⋊C4—26no—
1051C4⋊C4—26no—
1052C4⋊C4—22no—
1053C4⋊C4—26no—
1054C4⋊C4—22no—
1055C4⋊C4—43no—
1056C4⋊C4—41no—
1057C4⋊C4—41no—
1058C4⋊C4—41no—
1059C4⋊C4—46no—
1060C4⋊C4—41no—
1061C4⋊C4—43no—
1062C4⋊C4—43no—
1063C4⋊C4—43no—
1064C4⋊C4—43no—
1065C4⋊C4—43no—
1066C4⋊C4—46no—
1067C4⋊C4—43no—
1068C4⋊C4—41no—
1069C4⋊C4—43no—
1070C4⋊C4—43no—
1071C4⋊C4—43no—
1072C4⋊C4—43no—
1073C4⋊C4—46no—
1074C4⋊C4—46no—
1075C4⋊C4—43no—
1076C4⋊C4—46no—
1077C4⋊C4—46no—
1078C4⋊C4—43no—
1079C4⋊C4—43no—
1080C4⋊C4—43no—
1081C4⋊C4—43no—
1082C22⋊C4—26no—
1083C22⋊C4—26no—
1084C22⋊C4—212no—
1085C22⋊C4—26no—
1086C22⋊C4—26no—
1087C22⋊C4—212no—
1088C22⋊C4—212no—
1089C22⋊C4—22no—
1090C22⋊C4—22no—
1091C22⋊C4—26no—
1092C22⋊C4—26no—
1093C22⋊C4—22no—
1094C22⋊C4—46no—
1095C22⋊C4—46no—
1096C22⋊C4—43no—
1097C22⋊C4—43no—
1098C22⋊C4—43no—
1099C22⋊C4—43no—
1100C22⋊C4—43no—
1101C22⋊C4—43no—
1102C22⋊C4—46no—
1103C22⋊C4—46no—
1104C22⋊C4—46no—
1105C22⋊C4—46no—
1106C22⋊C4—46no—
1107C22⋊C4—46no—
1108C22⋊C4—41no—
1109C22⋊C4—43no—
1110C22⋊C4—43no—
1111C22⋊C4—43no—
1112C22⋊C4—43no—
1113C22⋊C4—43no—
1114C22⋊C4—43no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—43no—
1118C22⋊C4—43no—
1119C22⋊C4—43no—
1120C22⋊C4—46no—
1121C22⋊C4—43no—
1122C22⋊C4—46no—
1123C22⋊C4—46no—
1124C22⋊C4—41no—
1125C22⋊C4—43no—
1126C22⋊C4—46no—
1127C22⋊C4—46no—
1128C22⋊C4—43no—
1129C22⋊C4—43no—
1130C22⋊C4—43no—
1131C22⋊C4—43no—
1132C22⋊C4—43no—
1133C22⋊C4—43no—
1134C22⋊C4—43no—
1135C22⋊C4—43no—
1136C22⋊C4—43no—
1137C22⋊C4—43no—
1138C42—22no—
1139C42—26no—
1140C42—26no—
1141C42—26no—
1142C42—26no—
1143C42—26no—
1144C42—26no—
1145C42—26no—
1146C42—26no—
1147C42—26no—
1148C42—26no—
1149C42—26no—
1150C42—26no—
1151C42—41no—
1152C42—43no—
1153C42—41no—
1154C42—46no—
1155C42—46no—
1156C42—43no—
1157C42—46no—
1158C42—43no—
1159C42—43no—
1160C23—23no—
1161C23—23no—
1162C23—23no—
1163C23—23no—
1164C23—23no—
1165C23—23no—
1166C23—23no—
1167C23—23no—
1168C23—23no—
1169C23—23no—
1170C23—23no—
1171C23—23no—
1172C23—21no—
1173C23—21no—
1174C23—23no—
1175C23—23no—
1176C23—21no—
1177C23—23no—
1178C23—23no—
1179C23—21no—
1180C23—23no—
1181C23—21no—
1182C23—23no—
1183C23—21no—
1184C23—21no—
1185C23—23no—
1186C23—424no—
1187C23—812no—
1188C23—812no—
1189C23—812no—
1190C23—812no—
1191C23—166no—
1192C23—166no—
1193C23C22×#4116yes—
1194C23C22×#4116yes—
1195C23C2611yescharacteristic
1196Q8—44no—
1197Q8—412no—
1198Q8—86no—
1199Q8#551116yes—
1200D4—224no—
1201D4—224no—
1202D4—412no—
1203D4—412no—
1204D4—412no—
1205D4—412no—
1206D4—86no—
1207D4—86no—
1208D4—86no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—224no—
1216C2×C4—224no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—23no—
1223C2×C4—23no—
1224C2×C4—23no—
1225C2×C4—23no—
1226C2×C4—23no—
1227C2×C4—23no—
1228C2×C4—23no—
1229C2×C4—23no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—23no—
1238C2×C4—23no—
1239C2×C4—23no—
1240C2×C4—23no—
1241C2×C4—23no—
1242C2×C4—23no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—23no—
1246C2×C4—23no—
1247C2×C4—21no—
1248C2×C4—23no—
1249C2×C4—23no—
1250C2×C4—21no—
1251C2×C4—23no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—23no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—23no—
1258C2×C4—23no—
1259C2×C4—23no—
1260C2×C4—23no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—23no—
1268C2×C4—23no—
1269C2×C4—23no—
1270C2×C4—23no—
1271C2×C4—21no—
1272C2×C4—23no—
1273C2×C4—21no—
1274C2×C4—23no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—412no—
1287C2×C4—412no—
1288C2×C4—412no—
1289C2×C4—86no—
1290C2×C4—812no—
1291C2×C4—86no—
1292C2×C4—86no—
1293C2×C4—166no—
1294C2×C4C22×#4112yes—
1295C2×C4C22×#4112yes—
1296C2×C4C22×#4116yes—
1297C2×C4C22×#4116yes—
1298C2×C4C2×H(5,𝔽2)16yes—
1299C2×C4#58512yes—
1300C22—26no—
1301C22—26no—
1302C22—26no—
1303C22—26no—
1304C22—26no—
1305C22—26no—
1306C22—43no—
1307C22—43no—
1308C22—43no—
1309C22—43no—
1310C22—43no—
1311C22—43no—
1312C22—43no—
1313C22—43no—
1314C22—41no—
1315C22—43no—
1316C22—41no—
1317C22—43no—
1318C22—41no—
1319C22—43no—
1320C22—41no—
1321C22—43no—
1322C22—41no—
1323C22—43no—
1324C22—41no—
1325C22—43no—
1326C22—41no—
1327C22—43no—
1328C22—1624no—
1329C22C23×#4111yescharacteristic
1330C22C23×#4111yescharacteristic
1331C22C22×H(5,𝔽2)11yescharacteristic
1332C22C2×#58511yescharacteristic
1333C22H(7,𝔽2)11yescharacteristic
1334C22H(7,𝔽2)11yescharacteristic
1335C222−1+611yescharacteristic
1336C4—22no—
1337C4—22no—
1338C4—22no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—43no—
1343C4—43no—
1344C4—41no—
1345C4—41no—
1346C4—43no—
1347C4—41no—
1348C4—43no—
1349C4—41no—
1350C4—43no—
1351C4—41no—
1352C4—43no—
1353C4—43no—
1354C4—43no—
1355C4—41no—
1356C4—43no—
1357C4—43no—
1358C4—43no—
1359C4—41no—
1360C4—41no—
1361C4—43no—
1362C4C2×#551112yes—
1363C2—46no—
1364C2—46no—
1365C2—81no—
1366C2—83no—
1367C2C22×#55111yescharacteristic
1368C2#6285711yescharacteristic
1369C2#6285811yescharacteristic
1370C2#6292311yescharacteristic
1371C2#6299511yescharacteristic
1372C2#6300811yescharacteristic
1373C2#6305211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36082C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59488C2semidirect
2. #59424C2semidirect
3. #59272C2semidirect
4. #52197C2semidirect
5. #45365C2semidirect
6. #45171C2semidirect
7. #45126C2semidirect
8. #45088C2semidirect
9. #45006C2semidirect
10. #44901C2semidirect
11. #39564C2semidirect
12. #39070C2semidirect
13. #38202C2semidirect
14. #38112C2semidirect
15. #38054C2semidirect
16. #37971C2semidirect
17. #36458C2semidirect
18. #36432C2semidirect
19. #36431C2semidirect
21. #35996C2semidirect
22. #35898C2semidirect
23. #35854C2semidirect
24. #35816C2semidirect
25. #35801C2semidirect
26. #34312C2semidirect
27. #34293C2semidirect
28. #34263C2semidirect
29. #34258C2semidirect
30. #34258C2semidirect
31. #34193C2semidirect
33. C2×#557C22semidirect
39. C2×#519C22semidirect
42. #2860C22semidirect
43. #2855C22semidirect
44. #2851C22semidirect
45. #2797C22semidirect
46. #2786C22semidirect
47. #2782C22semidirect
48. #2761C22semidirect
49. #2759C22semidirect
50. #2758C22semidirect
51. #2757C22semidirect
52. #2757C22semidirect
53. #2756C22semidirect
54. #2755C22semidirect
55. #2754C22semidirect
56. #2753C22semidirect
57. #2752C22semidirect
58. #2751C22semidirect
59. #2750C22semidirect
60. #2749C22semidirect
61. #2746C22semidirect
62. #2743C22semidirect
63. #2740C22semidirect
64. #2740C22semidirect
65. #2737C22semidirect
66. #2736C22semidirect
67. #2735C22semidirect
68. #2735C22semidirect
69. #2723C22semidirect
70. #2705C22semidirect
71. #2696C22semidirect
72. #2696C22semidirect
73. #2685C22semidirect
74. #2644C22semidirect
75. #2640C22semidirect
76. #2629C22semidirect
77. #2625C22semidirect
78. #2624C22semidirect
80. #2609C22semidirect
81. #2601C22semidirect
82. #2597C22semidirect
83. #2595C22semidirect
84. #2592C22semidirect
85. #2580C22semidirect
86. #2578C22semidirect
87. #2576C22semidirect
88. #2566C22semidirect
89. #2566C22semidirect
90. #2563C22semidirect
91. #2561C22semidirect
92. #2560C22semidirect
93. #2554C22semidirect
94. #2538C22semidirect
95. #2520C22semidirect
96. #2513C22semidirect
97. #2513C22semidirect
98. #2512C22semidirect
99. #2512C22semidirect
100. #2512C22semidirect
101. #2512C22semidirect
102. #2502C22semidirect
103. #2500C22semidirect
104. #2499C22semidirect
105. #2497C22semidirect
106. #2497C22semidirect
107. #2496C22semidirect
108. #2496C22semidirect
109. #2495C22semidirect
110. #2494C22semidirect
111. #2490C22semidirect
112. #2490C22semidirect
113. #2489C22semidirect
114. #2489C22semidirect
115. #2486C22semidirect
116. #2485C22semidirect
117. #2485C22semidirect
118. #2483C22semidirect
119. #2482C22semidirect
120. #2480C22semidirect
121. #2480C22semidirect
122. #2480C22semidirect
123. #2480C22semidirect
124. #2479C22semidirect
125. #2454C22semidirect
126. #2454C22semidirect
127. #2452C22semidirect
128. #2452C22semidirect
129. #2448C22semidirect
130. #2448C22semidirect
131. #2447C22semidirect
132. #2447C22semidirect
133. #2447C22semidirect
134. #2447C22semidirect
135. #2442C22semidirect
136. #2441C22semidirect
137. #2440C22semidirect
138. #2439C22semidirect
139. #2437C22semidirect
143. #2423C22semidirect
144. #2422C22semidirect
145. #2422C22semidirect
146. #2422C22semidirect
147. #2421C22semidirect
148. #2420C22semidirect
149. #2412C22semidirect
150. #2411C22semidirect
151. #2411C22semidirect
155. #2401C22semidirect
156. #2398C22semidirect
157. #2396C22semidirect
158. #2395C22semidirect
159. #2395C22semidirect
161. #2367C22semidirect
162. #2367C22semidirect
163. #2363C22semidirect
164. #2363C22semidirect
165. #2362C22semidirect
166. #2360C22semidirect
167. #2357C22semidirect
168. #2354C22semidirect
169. #2354C22semidirect
170. #2354C22semidirect
171. #2354C22semidirect
172. #2352C22semidirect
173. #2351C22semidirect
174. #2351C22semidirect
175. #2351C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
178. Q8×C4⋊C4C22semidirect
179. Q8×C4⋊C4C22semidirect
180. Q8×C4⋊C4C22semidirect
181. #2347C22semidirect
182. #2347C22semidirect
183. #2345C22semidirect
184. #2344C22semidirect
185. #2342C22semidirect
197. Q8×C22⋊C4C22semidirect
198. Q8×C22⋊C4C22semidirect
199. Q8×C22⋊C4C22semidirect
208. #2326C22semidirect
209. #2324C22semidirect
210. #2324C22semidirect
211. #2323C22semidirect
212. #2319C22semidirect
213. #2319C22semidirect
214. #2319C22semidirect
215. #2314C22semidirect
220. C4×#126C22semidirect
221. C4×#124C22semidirect
222. C4×C22⋊Q8C22semidirect
223. C4×C22⋊Q8C22semidirect
224. C4×#123C22semidirect
225. #2298C22semidirect
228. #2293C22semidirect
229. #2293C22semidirect
232. #2290C22semidirect
233. #2285C22semidirect
234. #2283C22semidirect
235. #2276C22semidirect
236. #2276C22semidirect
237. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594882
#594242
#592722
#521972
#453652
#451712
#451262
#450882
#450062
#449012
#395642
#390702
#382022
#381122
#380542
#379712
#364582
#364322
#364312
#360822
#359962
#358982
#358542
#358162
#358012
#343122
#342932
#342632
#342582
#341932