Finite Group Databasebeta

← #7633298

Subgroups — #7633298

Order 512.

5332 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36591C214yesmaximal, complemented
2#36300C214yesmaximal, complemented
3#36293C218yesmaximal, complemented
4#35968C218yesmaximal, complemented
5#35731C218yesmaximal, complemented
6#35679C212yesmaximal, complemented
7#35605C218yesmaximal, complemented
8#35558C212yesmaximal, complemented
9#35285C211yesmaximal, characteristic
10#35186C214yesmaximal, complemented
11#35179C211yesmaximal, characteristic, complemented
12#34954C214yesmaximal, complemented
13#34948C211yesmaximal, characteristic, complemented
14C2×#2548C211yesmaximal, characteristic
15#34255C212yesmaximal, complemented
16#34211C212yesmaximal, complemented
17#34210C211yesmaximal, characteristic
18#34145C211yesmaximal, characteristic, complemented
19C4×#519C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C22×#127C2211yescharacteristic
22C22×#124C2212yes—
23C2×#519C2211yescharacteristic
24C2×#519C2211yescharacteristic
25C2×#518C2212yes—
26C22×C4×Q8C2211yescharacteristic
27#2861C2218yescomplemented
28#2860C2218yescomplemented
29#2858C2212yes—
30#2858C2212yes—
31#2855C2214yes—
32#2651C22116yescomplemented
33#2641C2214yes—
34#2627C2214yes—
35#2597C22116yescomplemented
36#2595C22116yescomplemented
37#2593C22116yescomplemented
38#2582C2214yescomplemented
39#2581C2214yescomplemented
40#2571C2212yescomplemented
41#2570C2214yescomplemented
42#2569C2214yes—
43#2568C2212yescomplemented
44#2567C2212yescomplemented
45#2565C2214yescomplemented
46#2552C2212yescomplemented
47#2548C2214yes—
48#2548C2214yes—
49#2548C2212yes—
50#2548C2214yes—
51#2548C2214yes—
52#2548C2212yes—
53#2548C2214yes—
54#2531C22116yescomplemented
55#2526C22116yescomplemented
56#2521C22116yescomplemented
57#2516C22116yescomplemented
58#2513C2218yescomplemented
59#2513C2218yescomplemented
60#2513C2218yescomplemented
61#2512C2218yescomplemented
62#2512C2218yescomplemented
63#2482C22116yes—
64#2480C22116yes—
65#2479C22116yescomplemented
66#2474C22116yescomplemented
67#2468C22116yescomplemented
68#2454C2218yescomplemented
69#2448C2218yescomplemented
70#2448C2218yescomplemented
71#2448C2218yescomplemented
72#2448C2218yescomplemented
73#2448C2218yescomplemented
74#2447C2218yescomplemented
75#2442C2214yes—
76#2435C2214yes—
77#2435C2214yes—
78#2402C2214yescomplemented
79#2395C22116yescomplemented
80C2×#394C2214yes—
81#2370C2214yescomplemented
82#2369C2212yescomplemented
83#2368C2214yes—
84#2367C2218yescomplemented
85#2367C2218yescomplemented
86#2366C2214yes—
87#2366C2214yes—
88#2365C2212yescomplemented
89#2360C2214yes—
90#2357C2218yescomplemented
91#2354C2218yescomplemented
92#2342C22116yes—
93#2342C22116yes—
94D4×C22⋊C4C2214yes—
95D4×C22⋊C4C2214yes—
96#2328C2214yes—
97#2326C2218yescomplemented
98#2319C2218yescomplemented
99#2317C2212yes—
100#2310C2212yes—
101#2309C2212yes—
102#2309C2212yes—
103#2309C2212yes—
104C4×#127C2214yes—
105C4×#125C2214yescomplemented
106C4×#124C2218yescomplemented
107C4×#124C2218yescomplemented
108#2296C2212yes—
109#2296C2212yes—
110#2295C2214yescomplemented
111#2295C2212yescomplemented
112#2293C2218yescomplemented
113#2293C2218yescomplemented
114C2×#390C2214yes—
115C2×#390C2212yes—
116#2285C2211yescharacteristic
117#2285C2212yes—
118#2276C2214yescomplemented
119#2276C2214yescomplemented
120#2274C2214yes—
121#2274C2211yescharacteristic
122#2274C2211yescharacteristic
123C42×Q8C2212yescomplemented
124C42×Q8C2214yescomplemented
125C42×Q8C2214yescomplemented
126C4×#117C2211yescharacteristic
127C4×#117C2212yes—
128C4×#117C2211yescharacteristic
129C4×#117C2214yes—
130C2×C4×C4⋊C4C2211yescharacteristic
131C23×Q8C2311yescharacteristic
132C23×D4C2312yes—
133C23×D4C2312yes—
134C23×D4C2312yes—
135#533—28no—
136C2×C4⋊Q8C2311yescharacteristic
137C2×C4⋊Q8C2311yescharacteristic
138C2×#127—28no—
139C2×#127C2312yes—
140C2×#127C2312yes—
141C2×#127C2312yes—
142C2×#127C2312yes—
143C2×#126C23116yes—
144C2×#125C2312yes—
145C2×#125C2314yes—
146C2×#124—216no—
147C2×#124C2314yes—
148C2×#124C2318yes—
149C2×#124C2314yes—
150C2×#124C2318yes—
151C2×#124C2318yes—
152C2×C22⋊Q8C2312yes—
153C2×C22⋊Q8C2312yes—
154#519—28no—
155#519—28no—
156#518—216no—
157C2×C4×Q8—28no—
158C2×C4×Q8C2312yes—
159C2×C4×Q8C2312yes—
160C2×C4×Q8C2312yes—
161C2×C4×Q8C2312yes—
162C2×C4×Q8C2314yes—
163C2×C4×Q8C2312yes—
164C2×C4×Q8C2312yes—
165C2×C4×Q8C2314yes—
166C2×C4×Q8C2314yes—
167C2×C4×Q8C2314yes—
168C2×C4×Q8C2314yes—
169C2×C4×D4C2318yes—
170C2×C4×D4C2318yes—
171C2×C4×D4C2318yes—
172C2×C4×D4C2318yes—
173C2×#117C2312yes—
174C2×#117C2311yescharacteristic
175C2×#117C2311yescharacteristic
176C2×#117C2311yescharacteristic
177C2×#117C2312yes—
178C2×#117C2314yes—
179C2×#117C2314yes—
180C2×#117C23116yes—
181C2×#117C2311yescharacteristic
182C22×C4⋊C4C2311yescharacteristic
183C22×C4⋊C4C2312yes—
184C22×C4⋊C4C2312yes—
185C22×C22⋊C4C2318yes—
186C22×C22⋊C4C2318yes—
187C22×C22⋊C4C2318yes—
188C22×C42C2312yes—
189C22×C42C2312yes—
190C22×C42C2311yescharacteristic
191#400C2318yes—
192#400C2318yes—
193#400C2318yes—
194#399C23116yes—
195#399C23116yes—
196#398C23116yes—
197#398C2318yes—
198#398C2318yes—
199#397C23116yes—
200#397C23116yes—
201#397C23116yes—
202#397C23116yes—
203#397C23116yes—
204#396C23116yes—
205#395C2318yes—
206#394C2318yes—
207#394C23116yes—
208#394C23116yes—
209#394C23116yes—
210#394C2318yes—
211#391C2314yes—
212#391C2314yes—
213#391C2318yes—
214#391C2318yes—
215#391C2314yes—
216#391C2318yes—
217#390C2318yes—
218#390C2318yes—
219#390C2318yes—
220#390C2318yes—
221#390C2318yes—
222#390C2314yes—
223#390C2314yes—
224#390C2314yes—
225#390C2314yes—
226#390C2318yes—
227#390C2314yes—
228#390C2318yes—
229#390C23116yes—
230#390C2318yes—
231#390C2318yes—
232#390C2318yes—
233#390C2318yes—
234#390C2314yes—
235#389C2314yes—
236#389C2314yes—
237#389C2318yes—
238#389C2314yes—
239#389C2314yes—
240#389C2318yes—
241#389C2314yes—
242#389C2318yes—
243#389C2314yes—
244#389C2314yes—
245#388C23116yes—
246#388C23116yes—
247#388C23116yes—
248#388C23116yes—
249#388C23116yes—
250#388C23116yes—
251#388C23116yes—
252#388C23116yes—
253#388C23116yes—
254#388C23116yes—
255#388C23116yes—
256#388C23116yes—
257#388C23116yes—
258#388C23116yes—
259#388C23116yes—
260#387C2318yes—
261#387C2318yes—
262#387C23116yes—
263#387C2318yes—
264#387C2318yes—
265#387C2318yes—
266#386C23116yes—
267#386C23116yes—
268#385C2318yes—
269#385C2318yes—
270#385C23116yes—
271#385C23116yes—
272#385C2318yes—
273#384C2312yes—
274#384C2314yes—
275#384C2314yes—
276#382C2314yes—
277#382C2314yes—
278#382C2312yes—
279#382C2314yes—
280#381C2318yes—
281#381C23116yes—
282#380C2312yes—
283#380C2318yes—
284#380C23116yes—
285#380C2312yes—
286#379C2318yes—
287#379C2318yes—
288#379C2318yes—
289C4×C4⋊C4C2312yes—
290C4×C4⋊C4C2312yes—
291C4×C4⋊C4C2318yes—
292C4×C4⋊C4C2318yes—
293C4×C4⋊C4C2312yes—
294C4×C4⋊C4C2312yes—
295C4×C4⋊C4C2312yes—
296C4×C4⋊C4C2311yescharacteristic
297C4×C4⋊C4C2312yes—
298C4×C4⋊C4C2314yes—
299C4×C4⋊C4C2318yes—
300C4×C4⋊C4C2318yes—
301C4×C4⋊C4C2318yes—
302C4×C4⋊C4C2318yes—
303C4×C4⋊C4C2314yes—
304C4×C4⋊C4C2314yes—
305C4×C4⋊C4C2314yes—
306C4×C4⋊C4C2314yes—
307C4×C4⋊C4C2312yes—
308C4×C4⋊C4C2312yes—
309C4×C4⋊C4C2312yes—
310C4×C4⋊C4C2318yes—
311C4×C4⋊C4C2318yes—
312C4×C4⋊C4C2314yes—
313C4×C4⋊C4C2314yes—
314C4×C4⋊C4C2314yes—
315C4×C4⋊C4C2314yes—
316C4×C4⋊C4C2318yes—
317C4×C4⋊C4C2311yescharacteristic
318C4×C22⋊C4C2312yes—
319C4×C22⋊C4C2312yes—
320C4×C22⋊C4C2312yes—
321C4×C22⋊C4C23116yes—
322C4×C22⋊C4C2318yes—
323C4×C22⋊C4C2314yes—
324C4×C22⋊C4C23116yes—
325C4×C22⋊C4C23116yes—
326C4×C22⋊C4C2312yes—
327C4×C22⋊C4C2314yes—
328#376C2314yes—
329#376C2312yes—
330#376C2312yes—
331#376C2318yes—
332C2×#95C2312yes—
333C43C2312yes—
334C43C2312yes—
335C43C2318yes—
336C43C2314yes—
337C25C2414yes—
338C22×Q8—24no—
339C22×Q8—24no—
340C22×Q8#4118yes—
341C22×Q8C2412yes—
342C22×Q8C2412yes—
343C22×Q8C2412yes—
344C22×Q8C2412yes—
345C22×D4—28no—
346C22×D4—28no—
347C22×D4—28no—
348C22×D4—28no—
349C22×D4—28no—
350C22×D4—48no—
351C22×D4—84no—
352C22×D4C2414yes—
353C22×D4C2414yes—
354C22×D4C2414yes—
355C22×D4C2414yes—
356C22×D4C2414yes—
357C22×D4C2414yes—
358C23×C4C2412yes—
359C23×C4C2411yescharacteristic
360C23×C4C2412yes—
361C23×C4C2414yes—
362C23×C4C24116yes—
363C23×C4C2411yescharacteristic
364C23×C4C2411yescharacteristic
365C4⋊Q8—24no—
366C4⋊Q8—24no—
367#127—28no—
368#127—28no—
369#127—28no—
370#127—28no—
371#126—816no—
372#125—28no—
373#125—48no—
374#124—216no—
375#124—232no—
376#124—216no—
377#124—416no—
378#124—88no—
379C22⋊Q8—28no—
380C22⋊Q8—28no—
381C4×Q8—216no—
382C4×Q8—216no—
383C4×Q8—216no—
384C4×Q8—28no—
385C4×Q8—28no—
386C4×Q8—28no—
387C4×Q8—28no—
388C4×Q8—216no—
389C4×Q8—28no—
390C4×Q8—28no—
391C4×Q8—48no—
392C4×D4—232no—
393C4×D4—232no—
394C4×D4—416no—
395C4×D4—88no—
396#117—28no—
397#117—216no—
398#117—24no—
399#117—24no—
400#117—24no—
401#117—28no—
402#117—216no—
403#117—816no—
404#117#4118yes—
405C2×C4⋊C4—28no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—44no—
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2412yes—
411C2×C4⋊C4C2414yes—
412C2×C4⋊C4C2414yes—
413C2×C4⋊C4C2412yes—
414C2×C4⋊C4C2414yes—
415C2×C4⋊C4C2412yes—
416C2×C4⋊C4C2418yes—
417C2×C4⋊C4C2412yes—
418C2×C4⋊C4C2412yes—
419C2×C4⋊C4C2418yes—
420C2×C4⋊C4C2412yes—
421C2×C4⋊C4C2412yes—
422C2×C4⋊C4C2414yes—
423C2×C4⋊C4C2414yes—
424C2×C4⋊C4C2414yes—
425C2×C4⋊C4C2412yes—
426C2×C4⋊C4C2412yes—
427C2×C4⋊C4C2414yes—
428C2×C4⋊C4C2418yes—
429C2×C4⋊C4C24116yes—
430C2×C4⋊C4C2414yes—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2418yes—
433C2×C4⋊C4C2418yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C2418yes—
436C2×C4⋊C4C2412yes—
437C2×C22⋊C4—232no—
438C2×C22⋊C4—232no—
439C2×C22⋊C4—88no—
440C2×C22⋊C4C2414yes—
441C2×C22⋊C4C24116yes—
442C2×C22⋊C4C24116yes—
443C2×C22⋊C4C24116yes—
444C2×C22⋊C4C2412yes—
445C2×C22⋊C4C2412yes—
446C2×C22⋊C4C2412yes—
447C2×C22⋊C4C2414yes—
448C2×C22⋊C4C24116yes—
449C2×C22⋊C4C24116yes—
450C2×C22⋊C4C24116yes—
451C2×C22⋊C4C24116yes—
452C2×C22⋊C4C24116yes—
453C2×C22⋊C4C24116yes—
454C2×C22⋊C4C24116yes—
455C2×C22⋊C4C24116yes—
456C2×C22⋊C4C2412yes—
457C2×C42—28no—
458C2×C42—28no—
459C2×C42#4118yes—
460C2×C42C2414yes—
461C2×C42C2418yes—
462C2×C42C2412yes—
463C2×C42C2412yes—
464C2×C42C2412yes—
465C2×C42C2418yes—
466C2×C42C2414yes—
467C2×C42C2414yes—
468C2×C42C2414yes—
469C2×C42C2414yes—
470C2×C42C2414yes—
471C2×C42C2412yes—
472C2×C42C2412yes—
473C2×C42C2414yes—
474C2×C42C2418yes—
475C2×C42C2418yes—
476C2×C42C2414yes—
477C2×C42C2418yes—
478C2×C42C2414yes—
479C2×C42C2418yes—
480C2×C42C2412yes—
481C2×C42C2411yescharacteristic
482C2×C42C2411yescharacteristic
483C2×C42C2411yescharacteristic
484C2×C42C2411yescharacteristic
485#95C2412yes—
486#95C2414yes—
487#95C2412yes—
488#95C2414yes—
489#95C2414yes—
490#95C2418yes—
491#95C2414yes—
492#95C2414yes—
493#95C2418yes—
494#95C2418yes—
495#95C2418yes—
496#95C2418yes—
497#95C2418yes—
498#95C2418yes—
499#95C24116yes—
500#95C24116yes—
501#95C24116yes—
502#95C2418yes—
503#95C2414yes—
504#95C2414yes—
505#95C2418yes—
506#95C2418yes—
507C24—28no—
508C24—28no—
509C24—28no—
510C24—48no—
511C24—48no—
512C24C2518yes—
513C24C2511yescharacteristic
514C2×Q8—232no—
515C2×Q8—24no—
516C2×Q8—24no—
517C2×Q8—24no—
518C2×Q8—24no—
519C2×Q8—24no—
520C2×Q8—24no—
521C2×Q8—28no—
522C2×Q8—44no—
523C2×Q8C2×#4118yes—
524C2×Q8C2×#4118yes—
525C2×D4—28no—
526C2×D4—28no—
527C2×D4—28no—
528C2×D4—28no—
529C2×D4—28no—
530C2×D4—28no—
531C2×D4—28no—
532C2×D4—28no—
533C2×D4—28no—
534C2×D4—28no—
535C2×D4—216no—
536C2×D4—48no—
537C2×D4—48no—
538C2×D4—48no—
539C2×D4—432no—
540C2×D4—816no—
541C2×D4—816no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—28no—
546C22×C4—24no—
547C22×C4—232no—
548C22×C4—42no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—44no—
552C22×C4—416no—
553C22×C4—416no—
554C22×C4C2×#4114yes—
555C22×C4C2×#4118yes—
556C22×C4C2×#4114yes—
557C22×C4C2×#4114yes—
558C22×C4C2×#4114yes—
559C22×C4C2×#4114yes—
560C22×C4C2514yes—
561C22×C4C2518yes—
562C22×C4C2514yes—
563C22×C4C2514yes—
564C22×C4C2514yes—
565C22×C4C2514yes—
566C22×C4C2514yes—
567C22×C4C2514yes—
568C22×C4C2514yes—
569C22×C4C2511yescharacteristic
570C22×C4C2511yescharacteristic
571C22×C4C2514yes—
572C22×C4C2514yes—
573C22×C4C2511yescharacteristic
574C22×C4C2511yescharacteristic
575C22×C4C2511yescharacteristic
576C22×C4C2511yescharacteristic
577C4⋊C4—28no—
578C4⋊C4—28no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—28no—
582C4⋊C4—216no—
583C4⋊C4—216no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—28no—
590C4⋊C4—28no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—28no—
596C4⋊C4—44no—
597C4⋊C4—48no—
598C4⋊C4—416no—
599C4⋊C4—44no—
600C4⋊C4—48no—
601C4⋊C4—48no—
602C4⋊C4—48no—
603C4⋊C4—48no—
604C4⋊C4—48no—
605C4⋊C4C2×#4118yes—
606C22⋊C4—28no—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—24no—
610C22⋊C4—28no—
611C22⋊C4—232no—
612C22⋊C4—232no—
613C22⋊C4—232no—
614C22⋊C4—416no—
615C22⋊C4—416no—
616C22⋊C4—416no—
617C22⋊C4—416no—
618C22⋊C4—416no—
619C22⋊C4—416no—
620C22⋊C4—416no—
621C22⋊C4—416no—
622C22⋊C4C2×#4118yes—
623C42—28no—
624C42—28no—
625C42—24no—
626C42—24no—
627C42—28no—
628C42—28no—
629C42—216no—
630C42—216no—
631C42—24no—
632C42—24no—
633C42—24no—
634C42—28no—
635C42—28no—
636C42—28no—
637C42—48no—
638C42—48no—
639C42—44no—
640C42—48no—
641C42—44no—
642C42—48no—
643C42C2×#4114yes—
644C42C2×#4114yes—
645C42C2×#4114yes—
646C42C2×#4114yes—
647C42C2×#4118yes—
648C23—22no—
649C23—22no—
650C23—28no—
651C23—28no—
652C23—28no—
653C23—216no—
654C23—216no—
655C23—416no—
656C23—88no—
657C23—88no—
658C23—816no—
659C23—816no—
660C23C22×#4112yes—
661C23C22×#4112yes—
662C23C22×#4112yes—
663C23C2611yescharacteristic
664Q8—216no—
665Q8—216no—
666Q8—48no—
667Q8—84no—
668D4—416no—
669D4—416no—
670D4—416no—
671D4—416no—
672D4—88no—
673D4—88no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—216no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—24no—
703C2×C4—28no—
704C2×C4—28no—
705C2×C4—24no—
706C2×C4—28no—
707C2×C4—44no—
708C2×C4—832no—
709C2×C4—88no—
710C2×C4—84no—
711C2×C4#529116yes—
712C2×C4C22×#4112yes—
713C2×C4C22×#4118yes—
714C2×C4C22×#4118yes—
715C2×C4C22×#4112yes—
716C2×C4C22×#4112yes—
717C2×C4C22×#4112yes—
718C2×C4C22×#4112yes—
719C2×C4C22×#4112yes—
720C2×C4C22×#4112yes—
721C2×C4C22×#4112yes—
722C2×C4C22×#4112yes—
723C2×C4C22×#4112yes—
724C2×C4#58514yes—
725C22—24no—
726C22—24no—
727C22—22no—
728C22—22no—
729C22—416no—
730C22—416no—
731C22—48no—
732C22—48no—
733C22—48no—
734C22—1616no—
735C22C2×#52914yes—
736C22C23×#4111yescharacteristic
737C22C23×#4111yescharacteristic
738C22C23×#4111yescharacteristic
739C22C2×#58512yes—
740C22H(7,𝔽2)12yes—
741C4—28no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—28no—
746C4—44no—
747C4—44no—
748C4—44no—
749C4—44no—
750C4—44no—
751C4—48no—
752C4—44no—
753C4—44no—
754C4—44no—
755C4C2×#52914yes—
756C4C2×#52914yes—
757C4#351014yes—
758C2—24no—
759C2—88no—
760C2C22×#52911yescharacteristic
761C2C2×#351011yescharacteristic
762C2#6285511yescharacteristic
763C2#6300612yes—
764C2#6301012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#127C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36591C2semidirect
2. #36300C2semidirect
3. #36293C2semidirect
4. #35968C2semidirect
5. #35731C2semidirect
6. #35679C2semidirect
7. #35605C2semidirect
8. #35558C2semidirect
10. #35186C2semidirect
11. #35179C2semidirect
12. #34954C2semidirect
13. #34948C2semidirect
15. #34255C2semidirect
16. #34211C2semidirect
18. #34145C2semidirect
19. C4×#519C2semidirect
27. #2861C22semidirect
28. #2860C22semidirect
32. #2651C22semidirect
35. #2597C22semidirect
36. #2595C22semidirect
37. #2593C22semidirect
38. #2582C22semidirect
39. #2581C22semidirect
40. #2571C22semidirect
41. #2570C22semidirect
43. #2568C22semidirect
44. #2567C22semidirect
45. #2565C22semidirect
46. #2552C22semidirect
54. #2531C22semidirect
55. #2526C22semidirect
56. #2521C22semidirect
57. #2516C22semidirect
58. #2513C22semidirect
59. #2513C22semidirect
60. #2513C22semidirect
61. #2512C22semidirect
62. #2512C22semidirect
65. #2479C22semidirect
66. #2474C22semidirect
67. #2468C22semidirect
68. #2454C22semidirect
69. #2448C22semidirect
70. #2448C22semidirect
71. #2448C22semidirect
72. #2448C22semidirect
73. #2448C22semidirect
74. #2447C22semidirect
78. #2402C22semidirect
79. #2395C22semidirect
81. #2370C22semidirect
82. #2369C22semidirect
84. #2367C22semidirect
85. #2367C22semidirect
88. #2365C22semidirect
90. #2357C22semidirect
91. #2354C22semidirect
97. #2326C22semidirect
98. #2319C22semidirect
105. C4×#125C22semidirect
106. C4×#124C22semidirect
107. C4×#124C22semidirect
110. #2295C22semidirect
111. #2295C22semidirect
112. #2293C22semidirect
113. #2293C22semidirect
118. #2276C22semidirect
119. #2276C22semidirect
123. C42×Q8C22semidirect
124. C42×Q8C22semidirect
125. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#365912
#363002
#362932
#359682
#357312
#356792
#356052
#355582
#352852
#351862
#351792
#349542
#349482
C2×#25482
#342552
#342112
#342102
#341452
C4×#5192