Finite Group Databasebeta

← #7732284

Subgroups — #7732284

Order 512.

8146 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3536C211yesmaximal, characteristic, complemented
3#47954C218yesmaximal, complemented
4#46427C214yesmaximal, complemented
5#46357C214yesmaximal, complemented
6#43096C218yesmaximal, complemented
7#39357C212yesmaximal, complemented
8#38955C212yesmaximal, complemented
9#38083C212yesmaximal, complemented
10#38082C212yesmaximal, complemented
11#37745C214yesmaximal, complemented
12#37702C214yesmaximal, complemented
13#37682C212yesmaximal, complemented
14#37675C212yesmaximal, complemented
15#37453C211yesmaximal, characteristic, complemented
16#37418C212yesmaximal, complemented
17#37391C212yesmaximal, complemented
18#36303C212yesmaximal, complemented
19#36124C212yesmaximal, complemented
20#35660C212yesmaximal, complemented
21#35623C212yesmaximal, complemented
22#35250C211yesmaximal, characteristic, complemented
23#35019C211yesmaximal, characteristic, complemented
24C2×#2432C211yesmaximal, characteristic, complemented
25#34082C211yesmaximal, characteristic, complemented
26C22×2−1+4C2211yescharacteristic, complemented
27C23×#41C2211yescharacteristic
28#3536—216no—
29C2×#562C2214yescomplemented
30#3489—216no—
31C2×#554C2212yescomplemented
32C2×D4×Q8C2212yescomplemented
33C2×#548C2212yes—
34C2×#548C2212yes—
35C2×#547C2212yes—
36C2×#547C2212yes—
37C2×#547C2214yescomplemented
38C2×#546C2214yes—
39C2×#546C2214yes—
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×#543C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#539C2212yes—
45C2×#538C2212yescomplemented
46C2×#537C2212yes—
47C2×#537C2212yes—
48C2×#537C2212yescomplemented
49C2×#537C2211yescharacteristic, complemented
50C2×#536C2212yes—
51C2×#536C2211yescharacteristic, complemented
52C2×#536C2212yescomplemented
53C2×#535C2211yescharacteristic
54C2×#535C2211yescharacteristic
55C2×#532C2212yescomplemented
56C22×C4⋊Q8C2211yescharacteristic, complemented
57C22×#124C2211yescharacteristic, complemented
58C2×#525C2211yescharacteristic
59C2×#525C2212yescomplemented
60C22×C22⋊Q8C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2212yescomplemented
63C22×#121C2211yescharacteristic
64C2×#520C2211yescharacteristic, complemented
65#2862C2212yescomplemented
66#2858C2212yescomplemented
67#2850C2212yes—
68#2850C2212yes—
69#2850C2212yescomplemented
70#2850C2212yescomplemented
71#2847C2214yes—
72#2817C2214yescomplemented
73#2728C2218yescomplemented
74#2723C2218yescomplemented
75#2710C2218yescomplemented
76#2706C2218yescomplemented
77#2703C2218yescomplemented
78#2700C2218yescomplemented
79#2699C2218yescomplemented
80#2696C2218yescomplemented
81#2692C2218yescomplemented
82#2690C2218yescomplemented
83#2688C2218yescomplemented
84#2688C2218yescomplemented
85#2687C2218yescomplemented
86#2687C2218yescomplemented
87#2681C2218yescomplemented
88#2678C2218yescomplemented
89#2677C2218yescomplemented
90#2674C2218yescomplemented
91#2671C2218yescomplemented
92#2668C2218yescomplemented
93#2658C2212yescomplemented
94#2640C2212yescomplemented
95#2639C2214yes—
96#2627C2214yescomplemented
97#2627C2214yescomplemented
98#2621C2212yescomplemented
99#2621C2212yescomplemented
100#2621C2212yescomplemented
101#2619C2212yescomplemented
102#2615C2214yes—
103#2591C2214yescomplemented
104#2568C2212yescomplemented
105#2563C2212yescomplemented
106#2561C2214yescomplemented
107#2555C2218yescomplemented
108#2547C2212yescomplemented
109#2546C2212yescomplemented
110#2545C2212yescomplemented
111#2545C2212yescomplemented
112#2544C2212yescomplemented
113#2544C2212yescomplemented
114#2504C2212yescomplemented
115#2504C2212yescomplemented
116#2503C2212yescomplemented
117#2503C2212yescomplemented
118#2503C2212yescomplemented
119#2503C2212yescomplemented
120#2492C2218yescomplemented
121#2488C2218yescomplemented
122#2488C2218yescomplemented
123#2483C2214yes—
124#2481C2218yescomplemented
125#2477C2218yescomplemented
126#2472C2218yescomplemented
127#2464C2218yescomplemented
128#2461C2218yescomplemented
129#2459C2218yescomplemented
130#2457C2218yescomplemented
131#2450C2218yescomplemented
132#2449C2218yescomplemented
133#2444C2218yescomplemented
134#2443C2218yescomplemented
135#2443C2218yescomplemented
136#2442C2218yescomplemented
137#2436C2212yes—
138#2436C2212yescomplemented
139#2436C2212yescomplemented
140#2435C2212yescomplemented
141#2434C2212yescomplemented
142#2434C2212yescomplemented
143#2434C2212yescomplemented
144#2433C2212yes—
145#2432C2214yes—
146#2432C2212yes—
147#2432C2212yes—
148#2432C2212yescomplemented
149#2432C2212yescomplemented
150#2432C2212yescomplemented
151#2432C2212yescomplemented
152#2432C2214yescomplemented
153#2431C2212yes—
154#2431C2212yes—
155#2431C2212yescomplemented
156#2431C2212yescomplemented
157#2430C2218yescomplemented
158#2430C2218yescomplemented
159#2424C2218yescomplemented
160#2420C2218yescomplemented
161#2418C2218yescomplemented
162#2412C2218yescomplemented
163#2409C2218yescomplemented
164#2407C2218yescomplemented
165#2404C2214yes—
166#2404C2218yescomplemented
167#2403C2214yes—
168C2×#394C2214yes—
169#2358C2218yescomplemented
170#2339C2218yescomplemented
171#2335C2214yescomplemented
172#2333C2212yescomplemented
173#2332C2212yescomplemented
174#2329C2212yescomplemented
175#2328C2212yescomplemented
176#2327C2212yescomplemented
177#2325C2212yescomplemented
178#2321C2214yes—
179#2311C2211yescharacteristic
180#2311C2211yescharacteristic
181#2311C2212yescomplemented
182#2308C2214yes—
183C4×#124C2212yescomplemented
184C4×#124C2212yescomplemented
185#2298C2212yescomplemented
186#2297C2212yescomplemented
187C2×#391C2212yescomplemented
188C2×#391C2211yescharacteristic, complemented
189#2293C2212yescomplemented
190C2×#390C2211yescharacteristic, complemented
191#2290C2212yescomplemented
192#2290C2212yescomplemented
193C2×#385C2214yescomplemented
194#2280C2211yescharacteristic
195C42×D4C2212yescomplemented
196C2×C4×C22⋊C4C2211yescharacteristic
197C2×2−1+4—28no—
198C2×2−1+4—44no—
199C2×2−1+4—44no—
200C22×#41—28no—
201C22×#41—44no—
202C22×#41—44no—
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2312yes—
207C22×#41C2312yes—
208C22×#41C2312yes—
209C22×#41C2311yescharacteristic
210C22×#41C2314yes—
211C22×#41C2312yes—
212C22×#41C2314yes—
213C22×#41C2312yes—
214C22×#41C2311yescharacteristic
215C23×Q8C2311yescharacteristic
216C23×Q8C2312yes—
217C23×Q8C2312yes—
218C23×Q8C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2312yes—
222C23×D4C2312yes—
223C23×D4C2311yescharacteristic
224C24×C4C2312yes—
225C24×C4C2311yescharacteristic
226#562—232no—
227#554—216no—
228D4×Q8—216no—
229#548—216no—
230#548—216no—
231#547—232no—
232#547—216no—
233#547—216no—
234#546—232no—
235#546—232no—
236#546—216no—
237#546—216no—
238#543—216no—
239#542—216no—
240#539—216no—
241#538—216no—
242#537—28no—
243#537—216no—
244#537—216no—
245#537—216no—
246#536—216no—
247#536—28no—
248#536—48no—
249#535—44no—
250#535—44no—
251#532—48no—
252C2×C4⋊Q8—44no—
253C2×C4⋊Q8C2312yes—
254C2×C4⋊Q8C2312yes—
255C2×C4⋊Q8C2312yes—
256C2×C4⋊Q8C2314yes—
257C2×C4⋊Q8C2312yes—
258C2×C4⋊Q8C2312yes—
259C2×C4⋊Q8C2312yes—
260C2×C4⋊Q8C2314yes—
261C2×#127C2312yes—
262C2×#127C2312yes—
263C2×#126C2314yes—
264C2×#125C2314yes—
265C2×#124—44no—
266C2×#124C2312yes—
267C2×#124C2312yes—
268C2×#124C2312yes—
269C2×#124C2314yes—
270C2×#124C2312yes—
271C2×#124C2314yes—
272C2×#124C2314yes—
273C2×#124C2312yes—
274C2×#124C2312yes—
275C2×#124C2312yes—
276C2×#124C2312yes—
277C2×#124C2314yes—
278#525—216no—
279#525D4116yescomplemented
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2318yes—
289C2×#123C2312yes—
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—216no—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2318yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×#121—28no—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2318yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2318yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2312yes—
346#520—28no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2318yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#400C2318yes—
386#400C2318yes—
387#400C2318yes—
388#400C2318yes—
389#400C2318yes—
390#399C2318yes—
391#399C2318yes—
392#398C2318yes—
393#398C2318yes—
394#398C2318yes—
395#398C2318yes—
396#397C2318yes—
397#397C2318yes—
398#397C2318yes—
399#397C2318yes—
400#397C2318yes—
401#397C2318yes—
402#397C2318yes—
403#396C2318yes—
404#396C2318yes—
405#395C2318yes—
406#395C2318yes—
407#395C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yes—
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#393C2318yes—
419#393C2318yes—
420#393C2318yes—
421#393C2318yes—
422#393C2318yes—
423#392C2318yes—
424#392C2318yes—
425#392C2318yes—
426#392C2318yes—
427#392C2318yes—
428#392C2318yes—
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#391C2312yes—
433#391C2318yes—
434#391C2312yes—
435#391C2312yes—
436#391C2314yes—
437#391C2312yes—
438#391C2312yes—
439#391C2318yes—
440#391C2312yes—
441#391C2312yes—
442#391C2318yes—
443#391C2314yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2314yes—
448#390C2314yes—
449#390C2312yes—
450#390C2312yes—
451#390C2318yes—
452#390C2318yes—
453#390C2312yes—
454#390C2314yes—
455#389C2314yes—
456#389C2318yes—
457#388C2318yes—
458#388C2318yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#387C2314yes—
472#387C2318yes—
473#387C2318yes—
474#387C2314yes—
475#387C2314yes—
476#387C2314yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2314yes—
482#386C2314yes—
483#386C2318yes—
484#386C2314yes—
485#386C2314yes—
486#386C2314yes—
487#386C2314yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yes—
499#386C2318yes—
500#386C2318yes—
501#385C2314yes—
502#385C2314yes—
503#385C2318yes—
504#385C2318yes—
505#385C2318yes—
506#385C2318yes—
507#385C2318yes—
508#385C2318yes—
509#385C2318yes—
510#385C2318yes—
511#385C2318yes—
512#382C2312yes—
513#382C2312yes—
514#382C2312yes—
515#382C2312yes—
516#382C2318yes—
517#381C2318yes—
518#381C2312yes—
519#381C2318yes—
520#381C2318yes—
521#381C2318yes—
522#380C2318yes—
523#380C2314yes—
524#380C2314yes—
525#380C2318yes—
526#380C2312yes—
527#380C2312yes—
528#380C2318yes—
529#379C2318yes—
530#379C2312yes—
531C4×C4⋊C4C2312yes—
532C4×C4⋊C4C2312yes—
533C4×C4⋊C4C2314yes—
534C4×C22⋊C4C2312yes—
535C4×C22⋊C4C2314yes—
536C4×C22⋊C4C2314yes—
537C4×C22⋊C4C2312yes—
538C4×C22⋊C4C2318yes—
539C4×C22⋊C4C2318yes—
540C4×C22⋊C4C2312yes—
541C4×C22⋊C4C2312yes—
542C4×C22⋊C4C2312yes—
543C4×C22⋊C4C2312yes—
544C4×C22⋊C4C2312yes—
545C4×C22⋊C4C2312yes—
546#376C2312yes—
547C2×#95C2312yes—
548C2×#95C2314yes—
549C2×#95C2318yes—
550C43C2312yes—
551C25C2412yes—
552C25C2411yescharacteristic
553C25C2412yes—
5542−1+4—464no—
555C2×#41—24no—
556C2×#41—24no—
557C2×#41—28no—
558C2×#41—216no—
559C2×#41—216no—
560C2×#41—24no—
561C2×#41—28no—
562C2×#41—24no—
563C2×#41—24no—
564C2×#41—28no—
565C2×#41—24no—
566C2×#41—28no—
567C2×#41—24no—
568C2×#41—28no—
569C2×#41—24no—
570C2×#41—28no—
571C2×#41—42no—
572C2×#41—42no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—48no—
578C2×#41—416no—
579C2×#41—42no—
580C2×#41—42no—
581C2×#41—44no—
582C2×#41—42no—
583C2×#41—42no—
584C2×#41—44no—
585C2×#41—44no—
586C2×#41—48no—
587C2×#41—44no—
588C2×#41—44no—
589C2×#41—464no—
590C2×#41C2×D418yes—
591C22×Q8—28no—
592C22×Q8—24no—
593C22×Q8—28no—
594C22×Q8—24no—
595C22×Q8—28no—
596C22×Q8—24no—
597C22×Q8—24no—
598C22×Q8—44no—
599C22×Q8—42no—
600C22×Q8—44no—
601C22×Q8—44no—
602C22×Q8—42no—
603C22×Q8—42no—
604C22×Q8—42no—
605C22×Q8—42no—
606C22×Q8C2412yes—
607C22×Q8C2412yes—
608C22×Q8C2411yescharacteristic
609C22×Q8C2414yes—
610C22×Q8C2412yes—
611C22×Q8C2411yescharacteristic
612C22×Q8C2412yes—
613C22×Q8C2414yes—
614C22×Q8C2412yes—
615C22×Q8C2411yescharacteristic
616C22×D4—28no—
617C22×D4—28no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—42no—
622C22×D4—44no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—44no—
626C22×D4—48no—
627C22×D4C2412yes—
628C22×D4C2414yes—
629C22×D4C2412yes—
630C22×D4C2411yescharacteristic
631C22×D4C2412yes—
632C22×D4C2412yes—
633C22×D4C2414yes—
634C22×D4C2412yes—
635C22×D4C2412yes—
636C22×D4C2411yescharacteristic
637C22×D4C2418yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2412yes—
642C22×D4C2414yes—
643C22×D4C2412yes—
644C22×D4C2418yes—
645C22×D4C2412yes—
646C22×D4C2412yes—
647C22×D4C2411yescharacteristic
648C23×C4—28no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—44no—
652C23×C4—44no—
653C23×C4C2×D418yes—
654C23×C4C2412yes—
655C23×C4C2412yes—
656C23×C4C2414yes—
657C23×C4C2412yes—
658C23×C4C2412yes—
659C23×C4C2412yes—
660C23×C4C2414yes—
661C23×C4C2411yescharacteristic
662C23×C4C2412yes—
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2412yes—
666C23×C4C2412yes—
667C23×C4C2412yes—
668C23×C4C2414yes—
669C23×C4C2412yes—
670C23×C4C2412yes—
671C23×C4C2412yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2412yes—
676C23×C4C2414yes—
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C4⋊Q8—28no—
681C4⋊Q8—216no—
682C4⋊Q8—28no—
683C4⋊Q8—28no—
684C4⋊Q8—44no—
685C4⋊Q8—44no—
686C4⋊Q8—44no—
687C4⋊Q8—48no—
688#127—28no—
689#127—44no—
690#126—216no—
691#125—216no—
692#124—28no—
693#124—28no—
694#124—216no—
695#124—216no—
696#124—216no—
697#124—28no—
698#124—28no—
699#124—44no—
700#124—44no—
701#124—44no—
702#124—44no—
703#124—48no—
704#123—216no—
705#123—216no—
706#123—216no—
707#123—216no—
708#123—216no—
709#123—216no—
710#123—216no—
711#123—216no—
712#123—416no—
713#123C2×D4116yes—
714C22⋊Q8—28no—
715C22⋊Q8—216no—
716C22⋊Q8—28no—
717C22⋊Q8—28no—
718C22⋊Q8—28no—
719C22⋊Q8—28no—
720C22⋊Q8—28no—
721C22⋊Q8—28no—
722C22⋊Q8—28no—
723C22⋊Q8—28no—
724C22⋊Q8—28no—
725C22⋊Q8—28no—
726C22⋊Q8—28no—
727C22⋊Q8—216no—
728C22⋊Q8—28no—
729C22⋊Q8—216no—
730C22⋊Q8—216no—
731C22⋊Q8—216no—
732C22⋊Q8—216no—
733C22⋊Q8—216no—
734C22⋊Q8—216no—
735C22⋊Q8—216no—
736C22⋊Q8—416no—
737C22⋊Q8C2×D418yes—
738C22⋊Q8C2×D418yes—
739#121—28no—
740#121—216no—
741#121—216no—
742#121—216no—
743#121—216no—
744#121—216no—
745#121—216no—
746#121—216no—
747#121—28no—
748#121—28no—
749#121—28no—
750#121—28no—
751#121—28no—
752#121—28no—
753#121—216no—
754#121—216no—
755#121—48no—
756#121—416no—
757#121—48no—
758#121C2×D418yes—
759#121C2×D418yes—
760#120—216no—
761#120—216no—
762#120—48no—
763#120—416no—
764#120—48no—
765#120C2×D4116yes—
766C4×Q8—28no—
767C4×Q8—28no—
768C4×D4—216no—
769C4×D4—216no—
770C4×D4—216no—
771C4×D4—216no—
772C4×D4—216no—
773C4×D4—28no—
774C4×D4—28no—
775C4×D4—48no—
776C4×D4—416no—
777C4×D4C2×D4116yes—
778C4×D4C2×D4116yes—
779#117—28no—
780#117—42no—
781#117—42no—
782#117—44no—
783#117C2×D418yes—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—28no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—28no—
789C2×C4⋊C4—28no—
790C2×C4⋊C4—28no—
791C2×C4⋊C4—216no—
792C2×C4⋊C4—48no—
793C2×C4⋊C4C2412yes—
794C2×C4⋊C4C2412yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2412yes—
797C2×C4⋊C4C2412yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2418yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2418yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2418yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2418yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2412yes—
824C2×C22⋊C4—28no—
825C2×C22⋊C4—28no—
826C2×C22⋊C4—28no—
827C2×C22⋊C4—216no—
828C2×C22⋊C4—216no—
829C2×C22⋊C4—48no—
830C2×C22⋊C4—48no—
831C2×C22⋊C4—44no—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2418yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2418yes—
851C2×C22⋊C4C2418yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2418yes—
855C2×C22⋊C4C2418yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2412yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2418yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2418yes—
862C2×C22⋊C4C2418yes—
863C2×C22⋊C4C2418yes—
864C2×C22⋊C4C2418yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2418yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2418yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C42—42no—
875C2×C42—42no—
876C2×C42—44no—
877C2×C42C2412yes—
878C2×C42C2414yes—
879C2×C42C2412yes—
880C2×C42C2412yes—
881C2×C42C2414yes—
882C2×C42C2412yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2412yes—
886C2×C42C2412yes—
887C2×C42C2414yes—
888C2×C42C2412yes—
889#95C2418yes—
890#95C2414yes—
891#95C2414yes—
892#95C2418yes—
893#95C2418yes—
894#95C2418yes—
895#95C2418yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2418yes—
902#95C2414yes—
903#95C2418yes—
904#95C2418yes—
905#95C2414yes—
906#95C2414yes—
907#95C2418yes—
908#95C2418yes—
909#95C2418yes—
910#95C2418yes—
911#95C2418yes—
912#95C2418yes—
913C24—24no—
914C24—24no—
915C24—24no—
916C24—28no—
917C24—24no—
918C24—41no—
919C24—42no—
920C24—41no—
921C24—42no—
922C24—44no—
923C24—44no—
924C24—42no—
925C24—42no—
926C24—44no—
927C24C22×D414yes—
928C24C2514yes—
929C24C2512yes—
930C24C2511yescharacteristic
931C24C2511yescharacteristic
932C24C2512yes—
933C24C2512yes—
934C24C2511yescharacteristic
935#41—232no—
936#41—416no—
937#41—416no—
938#41—432no—
939#41—416no—
940#41—432no—
941#41—416no—
942#41—432no—
943#41—432no—
944#41—464no—
945#41—816no—
946#41—832no—
947C2×Q8—22no—
948C2×Q8—24no—
949C2×Q8—24no—
950C2×Q8—28no—
951C2×Q8—24no—
952C2×Q8—24no—
953C2×Q8—22no—
954C2×Q8—24no—
955C2×Q8—28no—
956C2×Q8—22no—
957C2×Q8—28no—
958C2×Q8—24no—
959C2×Q8—22no—
960C2×Q8—24no—
961C2×Q8—24no—
962C2×Q8—24no—
963C2×Q8—24no—
964C2×Q8—22no—
965C2×Q8—41no—
966C2×Q8—44no—
967C2×Q8—41no—
968C2×Q8—42no—
969C2×Q8—42no—
970C2×Q8—42no—
971C2×Q8—42no—
972C2×Q8—42no—
973C2×Q8—48no—
974C2×Q8—416no—
975C2×Q8—432no—
976C2×Q8—432no—
977C2×Q8—416no—
978C2×Q8—88no—
979C2×Q8C22×D414yes—
980C2×Q8H(5,𝔽2)14yes—
981C2×D4—24no—
982C2×D4—24no—
983C2×D4—28no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—24no—
987C2×D4—24no—
988C2×D4—24no—
989C2×D4—24no—
990C2×D4—28no—
991C2×D4—24no—
992C2×D4—216no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—216no—
998C2×D4—22no—
999C2×D4—24no—
1000C2×D4—24no—
1001C2×D4—22no—
1002C2×D4—24no—
1003C2×D4—24no—
1004C2×D4—22no—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—416no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—44no—
1022C2×D4—48no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—48no—
1028C2×D4—48no—
1029C2×D4—48no—
1030C2×D4—48no—
1031C2×D4—48no—
1032C2×D4—48no—
1033C2×D4—48no—
1034C2×D4—432no—
1035C2×D4—88no—
1036C2×D4—816no—
1037C2×D4C22×D418yes—
1038C2×D4C22×D418yes—
1039C2×D4C22×D418yes—
1040C2×D4C22×D414yes—
1041C2×D4H(5,𝔽2)14yes—
1042C22×C4—24no—
1043C22×C4—24no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—24no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—24no—
1050C22×C4—24no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—24no—
1054C22×C4—24no—
1055C22×C4—28no—
1056C22×C4—24no—
1057C22×C4—28no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—28no—
1061C22×C4—24no—
1062C22×C4—24no—
1063C22×C4—24no—
1064C22×C4—28no—
1065C22×C4—24no—
1066C22×C4—28no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—24no—
1070C22×C4—24no—
1071C22×C4—24no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—416no—
1077C22×C4—42no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—42no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—44no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—48no—
1102C22×C4—42no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—48no—
1107C22×C4—48no—
1108C22×C4—432no—
1109C22×C4C22×D414yes—
1110C22×C4C22×D414yes—
1111C22×C4C22×D418yes—
1112C22×C4C22×D414yes—
1113C22×C4C22×D414yes—
1114C22×C4C22×D414yes—
1115C22×C4C22×D414yes—
1116C22×C4C2514yes—
1117C22×C4C2514yes—
1118C22×C4C2514yes—
1119C22×C4C2514yes—
1120C22×C4C2514yes—
1121C22×C4C2514yes—
1122C22×C4C2514yes—
1123C22×C4C2514yes—
1124C22×C4C2512yes—
1125C22×C4C2514yes—
1126C22×C4C2511yescharacteristic
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2511yescharacteristic
1130C22×C4C2512yes—
1131C22×C4C2511yescharacteristic
1132C22×C4C2512yes—
1133C22×C4C2511yescharacteristic
1134C4⋊C4—24no—
1135C4⋊C4—24no—
1136C4⋊C4—28no—
1137C4⋊C4—24no—
1138C4⋊C4—28no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—24no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—216no—
1153C4⋊C4—48no—
1154C4⋊C4—44no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—48no—
1160C4⋊C4—48no—
1161C4⋊C4C22×D414yes—
1162C4⋊C4C22×D418yes—
1163C4⋊C4C22×D414yes—
1164C4⋊C4C22×D418yes—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—216no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—216no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—48no—
1187C22⋊C4—48no—
1188C22⋊C4—48no—
1189C22⋊C4—48no—
1190C22⋊C4—44no—
1191C22⋊C4—48no—
1192C22⋊C4—44no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—48no—
1198C22⋊C4—48no—
1199C22⋊C4—48no—
1200C22⋊C4—48no—
1201C22⋊C4—48no—
1202C22⋊C4C22×D418yes—
1203C22⋊C4C22×D418yes—
1204C22⋊C4C22×D418yes—
1205C22⋊C4C22×D418yes—
1206C22⋊C4C22×D418yes—
1207C42—28no—
1208C42—28no—
1209C42—24no—
1210C42—24no—
1211C42—24no—
1212C42—24no—
1213C42—44no—
1214C42—42no—
1215C42—42no—
1216C42—44no—
1217C42—44no—
1218C42C22×D418yes—
1219C23—21no—
1220C23—21no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—21no—
1225C23—21no—
1226C23—22no—
1227C23—21no—
1228C23—21no—
1229C23—22no—
1230C23—24no—
1231C23—22no—
1232C23—22no—
1233C23—24no—
1234C23—22no—
1235C23—24no—
1236C23—24no—
1237C23—22no—
1238C23—28no—
1239C23—22no—
1240C23—24no—
1241C23—24no—
1242C23—22no—
1243C23—24no—
1244C23—22no—
1245C23—24no—
1246C23—28no—
1247C23—28no—
1248C23—24no—
1249C23—44no—
1250C23—44no—
1251C23—48no—
1252C23—416no—
1253C23—48no—
1254C23—48no—
1255C23—84no—
1256C23—84no—
1257C23—84no—
1258C23—88no—
1259C23—84no—
1260C23—84no—
1261C23—164no—
1262C23—164no—
1263C23C23×D412yes—
1264C23C23×D412yes—
1265C23C23×D414yes—
1266C23C23×D412yes—
1267C23C2×H(5,𝔽2)14yes—
1268C23#58514yes—
1269C23C2611yescharacteristic
1270Q8—28no—
1271Q8—44no—
1272Q8—416no—
1273Q8—48no—
1274Q8—48no—
1275Q8—48no—
1276Q8—44no—
1277Q8—48no—
1278Q8—84no—
1279Q8—88no—
1280D4—216no—
1281D4—216no—
1282D4—28no—
1283D4—48no—
1284D4—44no—
1285D4—48no—
1286D4—48no—
1287D4—48no—
1288D4—48no—
1289D4—416no—
1290D4—48no—
1291D4—416no—
1292D4—44no—
1293D4—48no—
1294D4—84no—
1295D4—88no—
1296D4—816no—
1297D4—88no—
1298D4—88no—
1299D4—88no—
1300D4—168no—
1301C2×C4—216no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—22no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—28no—
1315C2×C4—28no—
1316C2×C4—28no—
1317C2×C4—216no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—28no—
1339C2×C4—28no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—28no—
1344C2×C4—24no—
1345C2×C4—44no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—48no—
1349C2×C4—48no—
1350C2×C4—48no—
1351C2×C4—416no—
1352C2×C4—416no—
1353C2×C4—48no—
1354C2×C4—48no—
1355C2×C4—48no—
1356C2×C4—48no—
1357C2×C4—88no—
1358C2×C4—88no—
1359C2×C4—88no—
1360C2×C4—84no—
1361C2×C4—84no—
1362C2×C4—84no—
1363C2×C4—84no—
1364C2×C4—88no—
1365C2×C4—88no—
1366C2×C4C23×D414yes—
1367C2×C4C23×D414yes—
1368C2×C4C23×D414yes—
1369C2×C4C23×D412yes—
1370C2×C4C23×D412yes—
1371C2×C4C23×D412yes—
1372C2×C4C23×D412yes—
1373C2×C4C2×H(5,𝔽2)14yes—
1374C2×C4C2×H(5,𝔽2)12yes—
1375C2×C4C2×H(5,𝔽2)12yes—
1376C22—22no—
1377C22—22no—
1378C22—24no—
1379C22—24no—
1380C22—22no—
1381C22—24no—
1382C22—24no—
1383C22—22no—
1384C22—24no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—24no—
1390C22—28no—
1391C22—42no—
1392C22—42no—
1393C22—44no—
1394C22—42no—
1395C22—42no—
1396C22—44no—
1397C22—44no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—44no—
1402C22—44no—
1403C22—42no—
1404C22—42no—
1405C22—44no—
1406C22—48no—
1407C22—44no—
1408C22—44no—
1409C22—48no—
1410C22—88no—
1411C22—816no—
1412C22—168no—
1413C22#350014yes—
1414C22C24×D411yescharacteristic
1415C22C22×H(5,𝔽2)11yescharacteristic
1416C22C22×H(5,𝔽2)11yescharacteristic
1417C22C2×#58512yes—
1418C222−1+612yes—
1419C4—22no—
1420C4—22no—
1421C4—24no—
1422C4—24no—
1423C4—22no—
1424C4—24no—
1425C4—24no—
1426C4—42no—
1427C4—44no—
1428C4—44no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—44no—
1434C4—44no—
1435C4—44no—
1436C4#348414yes—
1437C2—24no—
1438C2—44no—
1439C2—42no—
1440C2—44no—
1441C2—42no—
1442C2—82no—
1443C2—84no—
1444C2C2×#348411yescharacteristic
1445C2C2×#350011yescharacteristic
1446C2#6285911yescharacteristic
1447C2#6289812yes—
1448C2#6291912yes—
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. C2×#3489C2semidirect
2. C2×#3536C2semidirect
3. #47954C2semidirect
4. #46427C2semidirect
5. #46357C2semidirect
6. #43096C2semidirect
7. #39357C2semidirect
8. #38955C2semidirect
9. #38083C2semidirect
10. #38082C2semidirect
11. #37745C2semidirect
12. #37702C2semidirect
13. #37682C2semidirect
14. #37675C2semidirect
15. #37453C2semidirect
16. #37418C2semidirect
17. #37391C2semidirect
18. #36303C2semidirect
19. #36124C2semidirect
20. #35660C2semidirect
21. #35623C2semidirect
22. #35250C2semidirect
23. #35019C2semidirect
24. C2×#2432C2semidirect
25. #34082C2semidirect
26. C22×2−1+4C22semidirect
29. C2×#562C22semidirect
31. C2×#554C22semidirect
32. C2×D4×Q8C22semidirect
37. C2×#547C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×#543C22semidirect
43. C2×#542C22semidirect
45. C2×#538C22semidirect
48. C2×#537C22semidirect
49. C2×#537C22semidirect
51. C2×#536C22semidirect
52. C2×#536C22semidirect
55. C2×#532C22semidirect
56. C22×C4⋊Q8C22semidirect
57. C22×#124C22semidirect
59. C2×#525C22semidirect
62. C22×C22⋊Q8C22semidirect
64. C2×#520C22semidirect
65. #2862C22semidirect
66. #2858C22semidirect
69. #2850C22semidirect
70. #2850C22semidirect
72. #2817C22semidirect
73. #2728C22semidirect
74. #2723C22semidirect
75. #2710C22semidirect
76. #2706C22semidirect
77. #2703C22semidirect
78. #2700C22semidirect
79. #2699C22semidirect
80. #2696C22semidirect
81. #2692C22semidirect
82. #2690C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2687C22semidirect
86. #2687C22semidirect
87. #2681C22semidirect
88. #2678C22semidirect
89. #2677C22semidirect
90. #2674C22semidirect
91. #2671C22semidirect
92. #2668C22semidirect
93. #2658C22semidirect
94. #2640C22semidirect
96. #2627C22semidirect
97. #2627C22semidirect
98. #2621C22semidirect
99. #2621C22semidirect
100. #2621C22semidirect
101. #2619C22semidirect
103. #2591C22semidirect
104. #2568C22semidirect
105. #2563C22semidirect
106. #2561C22semidirect
107. #2555C22semidirect
108. #2547C22semidirect
109. #2546C22semidirect
110. #2545C22semidirect
111. #2545C22semidirect
112. #2544C22semidirect
113. #2544C22semidirect
114. #2504C22semidirect
115. #2504C22semidirect
116. #2503C22semidirect
117. #2503C22semidirect
118. #2503C22semidirect
119. #2503C22semidirect
120. #2492C22semidirect
121. #2488C22semidirect
122. #2488C22semidirect
124. #2481C22semidirect
125. #2477C22semidirect
126. #2472C22semidirect
127. #2464C22semidirect
128. #2461C22semidirect
129. #2459C22semidirect
130. #2457C22semidirect
131. #2450C22semidirect
132. #2449C22semidirect
133. #2444C22semidirect
134. #2443C22semidirect
135. #2443C22semidirect
136. #2442C22semidirect
138. #2436C22semidirect
139. #2436C22semidirect
140. #2435C22semidirect
141. #2434C22semidirect
142. #2434C22semidirect
143. #2434C22semidirect
148. #2432C22semidirect
149. #2432C22semidirect
150. #2432C22semidirect
151. #2432C22semidirect
152. #2432C22semidirect
155. #2431C22semidirect
156. #2431C22semidirect
157. #2430C22semidirect
158. #2430C22semidirect
159. #2424C22semidirect
160. #2420C22semidirect
161. #2418C22semidirect
162. #2412C22semidirect
163. #2409C22semidirect
164. #2407C22semidirect
166. #2404C22semidirect
169. #2358C22semidirect
170. #2339C22semidirect
171. #2335C22semidirect
172. #2333C22semidirect
173. #2332C22semidirect
174. #2329C22semidirect
175. #2328C22semidirect
176. #2327C22semidirect
177. #2325C22semidirect
181. #2311C22semidirect
183. C4×#124C22semidirect
184. C4×#124C22semidirect
185. #2298C22semidirect
186. #2297C22semidirect
187. C2×#391C22semidirect
188. C2×#391C22semidirect
189. #2293C22semidirect
190. C2×#390C22semidirect
191. #2290C22semidirect
192. #2290C22semidirect
193. C2×#385C22semidirect
195. C42×D4C22semidirect
279. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35362
#479542
#464272
#463572
#430962
#393572
#389552
#380832
#380822
#377452
#377022
#376822
#376752
#374532
#374182
#373912
#363032
#361242
#356602
#356232
#352502
#350192
C2×#24322
#340822