Finite Group Databasebeta

← #62816

Subgroups — #62816

Order 256.

3610 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3524C212yesmaximal, complemented
2#3523C211yesmaximal, characteristic, complemented
3#3522C211yesmaximal, characteristic, complemented
4#3521C216yesmaximal, complemented
5#3520C213yesmaximal, complemented
6#3519C213yesmaximal, complemented
7#3518C211yesmaximal, characteristic, complemented
8#3517C211yesmaximal, characteristic, complemented
9#3516C212yesmaximal, complemented
10#3515C213yesmaximal, complemented
11#3514C213yesmaximal, complemented
12#3513C216yesmaximal, complemented
13#3480C213yesmaximal, complemented
14Q8×#41C211yesmaximal, characteristic, complemented
15#3475C216yesmaximal, complemented
16#3475C213yesmaximal, complemented
17D4×#41C211yesmaximal, characteristic, complemented
18D4×#41C212yesmaximal, complemented
19#3455C216yesmaximal, complemented
20#3444C213yesmaximal, complemented
21C2×#529C213yesmaximal, complemented
22#3428C212yesmaximal, complemented
23C2×C4×#41C211yesmaximal, characteristic, complemented
24C22×#41C2211yescharacteristic
25C22×#41C2212yes—
26#559C2216yescomplemented
27#559C2213yescomplemented
28Q82C2211yescharacteristic, complemented
29#557C2212yescomplemented
30#557C2211yescharacteristic, complemented
31#557C2213yescomplemented
32#556C2213yescomplemented
33#556C2216yescomplemented
34#556C2216yescomplemented
35#556C2213yescomplemented
36#555C2216yescomplemented
37#555C2213yescomplemented
38#554C2213yescomplemented
39#554C2216yescomplemented
40#554C2216yescomplemented
41#554C2213yescomplemented
42#553C2216yescomplemented
43#553C2216yescomplemented
44#553C2216yescomplemented
45#553C22112yescomplemented
46#553C2216yescomplemented
47#552C2216yescomplemented
48#552C2216yescomplemented
49#552C22112yescomplemented
50#552C2216yescomplemented
51#552C2216yescomplemented
52#551C22112yescomplemented
53#551C22112yescomplemented
54#551C22112yescomplemented
55#550C2211yescharacteristic, complemented
56#550C2212yescomplemented
57#550C2213yescomplemented
58D4×Q8C2212yescomplemented
59D4×Q8C2211yescharacteristic, complemented
60D4×Q8C2213yescomplemented
61#548C2212yescomplemented
62#548C2212yescomplemented
63#548C2212yescomplemented
64#548C2216yescomplemented
65#547C2213yescomplemented
66#547C2216yescomplemented
67#547C2216yescomplemented
68#547C2213yescomplemented
69#546C2216yescomplemented
70#546C2216yescomplemented
71#546C2216yescomplemented
72#546C22112yescomplemented
73#546C2216yescomplemented
74D42C2216yescomplemented
75D42C2213yescomplemented
76#542C2216yescomplemented
77#542C2216yescomplemented
78#542C2216yescomplemented
79#542C2216yescomplemented
80#541C2216yescomplemented
81#541C2216yescomplemented
82#540C2216yescomplemented
83#540C2216yescomplemented
84#539C22112yescomplemented
85#539C22112yescomplemented
86#538C22112yescomplemented
87#538C22112yescomplemented
88#533C2213yescomplemented
89#533C2213yescomplemented
90#533C2213yescomplemented
91#533C2216yescomplemented
92#532C2213yescomplemented
93#532C2213yescomplemented
94#532C2213yescomplemented
95#532C2216yescomplemented
96#529C2211yescharacteristic
97#529C2213yes—
98#529C2213yescomplemented
99#529C2216yescomplemented
100#529C2216yescomplemented
101#529C2213yescomplemented
102#529C2213yescomplemented
103#529C2216yescomplemented
104#529C2213yescomplemented
105#529C2213yescomplemented
106#529C2213yescomplemented
107#529C2216yescomplemented
108#529C2216yescomplemented
109#529C2216yescomplemented
110#529C2216yescomplemented
111#529C2216yescomplemented
112#529C2216yescomplemented
113#529C22112yescomplemented
114#529C22112yescomplemented
115C2×#126C2216yescomplemented
116C2×#125C2213yescomplemented
117C2×#124C2213yescomplemented
118#525C2216yescomplemented
119#525C2216yescomplemented
120#525C2216yescomplemented
121#525C2216yescomplemented
122#525C2216yescomplemented
123C2×#123C2216yescomplemented
124C2×C22⋊Q8C2213yescomplemented
125C2×#121C2213yes—
126#520C2216yescomplemented
127#520C2212yescomplemented
128#520C2216yescomplemented
129#520C2212yescomplemented
130#519C2212yescomplemented
131#519C2212yescomplemented
132#518C2216yescomplemented
133#518C2216yescomplemented
134C4×#41C2211yescharacteristic
135C4×#41C2211yescharacteristic
136C4×#41C2212yes—
137C4×#41C2213yescomplemented
138C4×#41C2213yescomplemented
139C4×#41C2213yescomplemented
140C4×#41C2211yescharacteristic, complemented
141C4×#41C2213yescomplemented
142C4×#41C2211yescharacteristic, complemented
143C4×#41C2216yescomplemented
144C4×#41C2216yescomplemented
145C4×#41C2216yescomplemented
146C4×#41C2216yescomplemented
147C2×C4×Q8C2211yescharacteristic, complemented
148C2×C4×Q8C2211yescharacteristic, complemented
149C2×C4×Q8C2213yescomplemented
150C2×C4×D4C2213yescomplemented
151C2×C4×D4C2213yescomplemented
152C2×C4×D4C2216yescomplemented
153C2×C4×D4C2213yescomplemented
154C2×#117C2213yescomplemented
155C2×#117C2216yescomplemented
156C2×#117C2216yescomplemented
157C22×C42C2213yescomplemented
158C2×#41—28no—
159C2×#41—216no—
160C2×#41C2313yes—
161C2×#41C2316yes—
162C2×#41C2313yes—
163C2×#41C2311yescharacteristic
164C2×#41C2316yes—
165C2×#41C2312yes—
166C2×#41C2316yes—
167C2×#41C2316yes—
168C2×#41C2311yescharacteristic
169C22×Q8C2311yescharacteristic
170C22×Q8C2312yes—
171C22×Q8C2313yes—
172C22×D4C2313yes—
173C22×D4C2316yes—
174C22×D4C2316yes—
175C22×D4C2313yes—
176C23×C4C2316yes—
177C23×C4C2313yes—
178C23×C4C2313yes—
179C23×C4C2313yes—
180C4⋊Q8C2313yes—
181C4⋊Q8C2313yes—
182C4⋊Q8C2313yes—
183C4⋊Q8C2316yes—
184C4⋊Q8C2316yes—
185C4⋊Q8C2316yes—
186#127C2313yes—
187#127C2316yes—
188#126C2312yes—
189#126C2316yes—
190#126C2316yes—
191#126C2316yes—
192#126C2316yes—
193#126C2316yes—
194#126C2316yes—
195#126C2316yes—
196#126C23112yes—
197#126C23112yes—
198#126C23112yes—
199#126C23112yes—
200#126C23112yes—
201#125C2311yescharacteristic
202#125C2313yes—
203#125C2313yes—
204#125C2316yes—
205#125C2316yes—
206#125C2313yes—
207#125C2316yes—
208#125C2316yes—
209#125C23112yes—
210#125C23112yes—
211#125C2316yes—
212#125C2316yes—
213#124C2311yescharacteristic
214#124C2313yes—
215#124C2313yes—
216#124C2316yes—
217#124C2313yes—
218#124C2316yes—
219#124C2316yes—
220#124C2316yes—
221#124C23112yes—
222#124C23112yes—
223#124C2316yes—
224#124C2316yes—
225#123C2312yes—
226#123C2316yes—
227#123C2316yes—
228#123C2316yes—
229#123C2316yes—
230#123C2316yes—
231#123C2316yes—
232#123C2316yes—
233#123C23112yes—
234#123C23112yes—
235#123C23112yes—
236#123C23112yes—
237#123C23112yes—
238#123C23112yes—
239#123C23112yes—
240#123C23112yes—
241C22⋊Q8C2311yescharacteristic
242C22⋊Q8C2313yes—
243C22⋊Q8C2316yes—
244C22⋊Q8C2313yes—
245C22⋊Q8C2313yes—
246C22⋊Q8C2316yes—
247C22⋊Q8C2316yes—
248C22⋊Q8C2316yes—
249C22⋊Q8C2316yes—
250C22⋊Q8C2316yes—
251C22⋊Q8C2316yes—
252C22⋊Q8C2316yes—
253C22⋊Q8C2316yes—
254C22⋊Q8C2316yes—
255C22⋊Q8C2316yes—
256C22⋊Q8C23112yes—
257C22⋊Q8C23112yes—
258C22⋊Q8C23112yes—
259C22⋊Q8C23112yes—
260#121C2311yescharacteristic
261#121C2313yes—
262#121C2316yes—
263#121C2316yes—
264#121C2313yes—
265#121C2313yes—
266#121C2316yes—
267#121C2316yes—
268#121C2316yes—
269#121C2316yes—
270#121C2316yes—
271#121C2316yes—
272#121C2316yes—
273#121C2316yes—
274#121C2316yes—
275#121C23112yes—
276#121C23112yes—
277#121C23112yes—
278#121C23112yes—
279#120C23112yes—
280#120C23112yes—
281#120C23112yes—
282C4×Q8C2311yescharacteristic
283C4×Q8C2311yescharacteristic
284C4×Q8C2311yescharacteristic
285C4×Q8C2311yescharacteristic
286C4×Q8C2311yescharacteristic
287C4×Q8C2313yes—
288C4×Q8C2313yes—
289C4×Q8C2313yes—
290C4×Q8C2313yes—
291C4×Q8C2313yes—
292C4×Q8C2313yes—
293C4×Q8C2316yes—
294C4×Q8C2313yes—
295C4×Q8C2316yes—
296C4×Q8C2312yes—
297C4×Q8C2312yes—
298C4×Q8C2316yes—
299C4×Q8C2316yes—
300C4×Q8C2316yes—
301C4×Q8C2316yes—
302C4×Q8C2316yes—
303C4×Q8C2316yes—
304C4×Q8C2316yes—
305C4×D4C2311yescharacteristic
306C4×D4C2312yes—
307C4×D4C2313yes—
308C4×D4C2313yes—
309C4×D4C2313yes—
310C4×D4C2313yes—
311C4×D4C2316yes—
312C4×D4C2313yes—
313C4×D4C2316yes—
314C4×D4C2316yes—
315C4×D4C2313yes—
316C4×D4C2313yes—
317C4×D4C2316yes—
318C4×D4C2313yes—
319C4×D4C2316yes—
320C4×D4C2313yes—
321C4×D4C2316yes—
322C4×D4C2316yes—
323C4×D4C2316yes—
324C4×D4C2313yes—
325C4×D4C2316yes—
326C4×D4C2316yes—
327C4×D4C2316yes—
328C4×D4C2316yes—
329C4×D4C2313yes—
330C4×D4C2316yes—
331C4×D4C2316yes—
332C4×D4C2316yes—
333C4×D4C23112yes—
334C4×D4C23112yes—
335C4×D4C2316yes—
336C4×D4C2316yes—
337C4×D4C23112yes—
338C4×D4C2316yes—
339C4×D4C23112yes—
340C4×D4C2316yes—
341C4×D4C2316yes—
342C4×D4C23112yes—
343C4×D4C23112yes—
344C4×D4C23112yes—
345C4×D4C2316yes—
346C4×D4C2316yes—
347#117C2313yes—
348#117C2312yes—
349#117C2316yes—
350#117C2313yes—
351#117C2316yes—
352#117C2316yes—
353#117C2316yes—
354#117C2316yes—
355#117C2316yes—
356#117C2313yes—
357#117C2313yes—
358#117C2316yes—
359#117C2316yes—
360#117C2316yes—
361#117C2316yes—
362#117C2316yes—
363#117C2316yes—
364#117C23112yes—
365#117C2316yes—
366#117C2316yes—
367#117C23112yes—
368#117C23112yes—
369C2×C4⋊C4C2313yes—
370C2×C4⋊C4C2313yes—
371C2×C4⋊C4C2316yes—
372C2×C4⋊C4C2316yes—
373C2×C4⋊C4C2316yes—
374C2×C4⋊C4C2316yes—
375C2×C4⋊C4C2313yes—
376C2×C4⋊C4C2316yes—
377C2×C4⋊C4C2313yes—
378C2×C4⋊C4C2316yes—
379C2×C22⋊C4C2316yes—
380C2×C22⋊C4C2316yes—
381C2×C22⋊C4C2316yes—
382C2×C22⋊C4C23112yes—
383C2×C22⋊C4C2316yes—
384C2×C22⋊C4C2316yes—
385C2×C22⋊C4C2316yes—
386C2×C42C2313yes—
387C2×C42C2313yes—
388C2×C42C2316yes—
389C2×C42C23112yes—
390C2×C42C2313yes—
391C2×C42C2313yes—
392C2×C42C2313yes—
393C2×C42C2313yes—
394C2×C42C2313yes—
395C2×C42C2313yes—
396C2×C42C2313yes—
397C2×C42C2313yes—
398C2×C42C2313yes—
399C2×C42C2311yescharacteristic
400C24C2413yes—
401C24C2416yes—
402#41—24no—
403#41—28no—
404#41—212no—
405#41—224no—
406#41—212no—
407#41—224no—
408#41—412no—
409#41—412no—
410#41#4118yescomplemented
411C2×Q8—24no—
412C2×Q8—28no—
413C2×Q8—46no—
414C2×Q8C2411yescharacteristic
415C2×Q8C2413yes—
416C2×Q8C2416yes—
417C2×Q8C2413yes—
418C2×Q8C2416yes—
419C2×Q8C2416yes—
420C2×Q8C2411yescharacteristic
421C2×D4—212no—
422C2×D4—224no—
423C2×D4—46no—
424C2×D4—412no—
425C2×D4C2416yes—
426C2×D4C24112yes—
427C2×D4C2416yes—
428C2×D4C2412yes—
429C2×D4C2411yescharacteristic
430C2×D4C2413yes—
431C2×D4C2416yes—
432C2×D4C2413yes—
433C2×D4C2416yes—
434C2×D4C2416yes—
435C2×D4C24112yes—
436C2×D4C2416yes—
437C2×D4C2416yes—
438C2×D4C2413yes—
439C22×C4—212no—
440C22×C4—224no—
441C22×C4—46no—
442C22×C4—46no—
443C22×C4C2411yescharacteristic
444C22×C4C2411yescharacteristic
445C22×C4C2413yes—
446C22×C4C2413yes—
447C22×C4C2413yes—
448C22×C4C2413yes—
449C22×C4C2413yes—
450C22×C4C2413yes—
451C22×C4C2416yes—
452C22×C4C2416yes—
453C22×C4C2416yes—
454C22×C4C2411yescharacteristic
455C22×C4C2416yes—
456C22×C4C2413yes—
457C22×C4C2412yes—
458C22×C4C2413yes—
459C22×C4C2413yes—
460C22×C4C2413yes—
461C22×C4C2413yes—
462C22×C4C2413yes—
463C22×C4C2413yes—
464C22×C4C2413yes—
465C22×C4C2416yes—
466C22×C4C2416yes—
467C22×C4C24112yes—
468C22×C4C24112yes—
469C22×C4C2413yes—
470C4⋊C4C2413yes—
471C4⋊C4C2413yes—
472C4⋊C4C2412yes—
473C4⋊C4C2416yes—
474C4⋊C4C2416yes—
475C4⋊C4C2412yes—
476C4⋊C4C2411yescharacteristic
477C4⋊C4C2412yes—
478C4⋊C4C2411yescharacteristic
479C4⋊C4C2412yes—
480C4⋊C4C2413yes—
481C4⋊C4C2413yes—
482C4⋊C4C2416yes—
483C4⋊C4C2416yes—
484C4⋊C4C2413yes—
485C4⋊C4C2413yes—
486C4⋊C4C2416yes—
487C4⋊C4C2416yes—
488C4⋊C4C2416yes—
489C4⋊C4C2416yes—
490C4⋊C4C2416yes—
491C4⋊C4C2416yes—
492C4⋊C4C2416yes—
493C4⋊C4C2416yes—
494C4⋊C4C2416yes—
495C4⋊C4C2416yes—
496C4⋊C4C2416yes—
497C4⋊C4C2416yes—
498C4⋊C4C2416yes—
499C4⋊C4C2416yes—
500C4⋊C4C2416yes—
501C4⋊C4C2416yes—
502C4⋊C4C24112yes—
503C4⋊C4C24112yes—
504C22⋊C4C2416yes—
505C22⋊C4C2412yes—
506C22⋊C4C2416yes—
507C22⋊C4C2416yes—
508C22⋊C4C2412yes—
509C22⋊C4C2412yes—
510C22⋊C4C2412yes—
511C22⋊C4C2412yes—
512C22⋊C4C2416yes—
513C22⋊C4C24112yes—
514C22⋊C4C2416yes—
515C22⋊C4C2416yes—
516C22⋊C4C2416yes—
517C22⋊C4C2416yes—
518C22⋊C4C2416yes—
519C22⋊C4C2416yes—
520C22⋊C4C2416yes—
521C22⋊C4C2416yes—
522C22⋊C4C2416yes—
523C22⋊C4C2416yes—
524C22⋊C4C2416yes—
525C22⋊C4C2416yes—
526C22⋊C4C2416yes—
527C22⋊C4C2416yes—
528C22⋊C4C2416yes—
529C22⋊C4C24112yes—
530C22⋊C4C24112yes—
531C22⋊C4C24112yes—
532C42C2411yescharacteristic
533C42C2411yescharacteristic
534C42C2413yes—
535C42C2413yes—
536C42C2413yes—
537C42C2413yes—
538C42C2413yes—
539C42C2413yes—
540C42C2413yes—
541C42C2413yes—
542C42C2413yes—
543C42C2413yes—
544C42C24112yes—
545C42C24112yes—
546C42C2416yes—
547C42C2416yes—
548C42C2411yescharacteristic
549C42C2413yes—
550C42C2411yescharacteristic
551C42C2412yes—
552C42C2413yes—
553C42C2416yes—
554C23—26no—
555C23—26no—
556C23—212no—
557C23—43no—
558C23—46no—
559C23—46no—
560C23C2512yes—
561C23C2513yes—
562C23C2516yes—
563C23C2513yes—
564C23C2511yescharacteristic
565Q8—26no—
566Q8—212no—
567Q8—22no—
568Q8—26no—
569Q8—46no—
570Q8—46no—
571Q8C2×#4114yes—
572D4—212no—
573D4—224no—
574D4—24no—
575D4—212no—
576D4—26no—
577D4—212no—
578D4—22no—
579D4—26no—
580D4—46no—
581D4—46no—
582D4—46no—
583D4—46no—
584D4—412no—
585D4C2×#41112yes—
586C2×C4—26no—
587C2×C4—212no—
588C2×C4—22no—
589C2×C4—26no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—26no—
593C2×C4—212no—
594C2×C4—26no—
595C2×C4—212no—
596C2×C4—26no—
597C2×C4—212no—
598C2×C4—22no—
599C2×C4—26no—
600C2×C4—26no—
601C2×C4—43no—
602C2×C4—43no—
603C2×C4—43no—
604C2×C4—43no—
605C2×C4—43no—
606C2×C4—43no—
607C2×C4—43no—
608C2×C4—46no—
609C2×C4—46no—
610C2×C4—412no—
611C2×C4—412no—
612C2×C4C2×#41112yes—
613C2×C4C2511yescharacteristic
614C2×C4C2511yescharacteristic
615C2×C4C2511yescharacteristic
616C2×C4C2511yescharacteristic
617C2×C4C2513yes—
618C2×C4C2513yes—
619C2×C4C2512yes—
620C2×C4C2513yes—
621C2×C4C2516yes—
622C2×C4C2513yes—
623C2×C4C2513yes—
624C2×C4C2516yes—
625C2×C4C2516yes—
626C2×C4C2512yes—
627C2×C4C2512yes—
628C2×C4C2513yes—
629C2×C4C2511yescharacteristic
630C2×C4C2511yescharacteristic
631C22—21no—
632C22—21no—
633C22—23no—
634C22—23no—
635C22—22no—
636C22—23no—
637C22—26no—
638C22—23no—
639C22—26no—
640C22—26no—
641C22—23no—
642C22—22no—
643C22—22no—
644C22—412no—
645C22—812no—
646C22C22×#4116yes—
647C22#58512yes—
648C22C2611yescharacteristic
649C4—21no—
650C4—22no—
651C4—23no—
652C4—26no—
653C4—21no—
654C4—21no—
655C4—23no—
656C4—21no—
657C4—23no—
658C4—23no—
659C4—23no—
660C4—22no—
661C4—26no—
662C4—26no—
663C4—22no—
664C4C22×#4112yes—
665C4C22×#4116yes—
666C4#58512yes—
667C2—22no—
668C2—26no—
669C2—43no—
670C2—46no—
671C2—42no—
672C2C23×#4111yescharacteristic
673C2C2×#58511yescharacteristic
674C2C2×#58511yescharacteristic
subgroupG/H
centerC2×C4C25
commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #3524C2semidirect
2. #3523C2semidirect
3. #3522C2semidirect
4. #3521C2semidirect
5. #3520C2semidirect
6. #3519C2semidirect
7. #3518C2semidirect
8. #3517C2semidirect
9. #3516C2semidirect
10. #3515C2semidirect
11. #3514C2semidirect
12. #3513C2semidirect
13. #3480C2semidirect
14. Q8×#41C2semidirect
15. #3475C2semidirect
16. #3475C2semidirect
17. D4×#41C2semidirect
18. D4×#41C2semidirect
19. #3455C2semidirect
20. #3444C2semidirect
21. C2×#529C2semidirect
22. #3428C2semidirect
23. C2×C4×#41C2semidirect
26. #559C22semidirect
27. #559C22semidirect
28. Q82C22semidirect
29. #557C22semidirect
30. #557C22semidirect
31. #557C22semidirect
32. #556C22semidirect
33. #556C22semidirect
34. #556C22semidirect
35. #556C22semidirect
36. #555C22semidirect
37. #555C22semidirect
38. #554C22semidirect
39. #554C22semidirect
40. #554C22semidirect
41. #554C22semidirect
42. #553C22semidirect
43. #553C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #552C22semidirect
48. #552C22semidirect
49. #552C22semidirect
50. #552C22semidirect
51. #552C22semidirect
52. #551C22semidirect
53. #551C22semidirect
54. #551C22semidirect
55. #550C22semidirect
56. #550C22semidirect
57. #550C22semidirect
58. D4×Q8C22semidirect
59. D4×Q8C22semidirect
60. D4×Q8C22semidirect
61. #548C22semidirect
62. #548C22semidirect
63. #548C22semidirect
64. #548C22semidirect
65. #547C22semidirect
66. #547C22semidirect
67. #547C22semidirect
68. #547C22semidirect
69. #546C22semidirect
70. #546C22semidirect
71. #546C22semidirect
72. #546C22semidirect
73. #546C22semidirect
74. D42C22semidirect
75. D42C22semidirect
76. #542C22semidirect
77. #542C22semidirect
78. #542C22semidirect
79. #542C22semidirect
80. #541C22semidirect
81. #541C22semidirect
82. #540C22semidirect
83. #540C22semidirect
84. #539C22semidirect
85. #539C22semidirect
86. #538C22semidirect
87. #538C22semidirect
88. #533C22semidirect
89. #533C22semidirect
90. #533C22semidirect
91. #533C22semidirect
92. #532C22semidirect
93. #532C22semidirect
94. #532C22semidirect
95. #532C22semidirect
98. #529C22semidirect
99. #529C22semidirect
100. #529C22semidirect
101. #529C22semidirect
102. #529C22semidirect
103. #529C22semidirect
104. #529C22semidirect
105. #529C22semidirect
106. #529C22semidirect
107. #529C22semidirect
108. #529C22semidirect
109. #529C22semidirect
110. #529C22semidirect
111. #529C22semidirect
112. #529C22semidirect
113. #529C22semidirect
114. #529C22semidirect
115. C2×#126C22semidirect
116. C2×#125C22semidirect
117. C2×#124C22semidirect
118. #525C22semidirect
119. #525C22semidirect
120. #525C22semidirect
121. #525C22semidirect
122. #525C22semidirect
123. C2×#123C22semidirect
124. C2×C22⋊Q8C22semidirect
126. #520C22semidirect
127. #520C22semidirect
128. #520C22semidirect
129. #520C22semidirect
130. #519C22semidirect
131. #519C22semidirect
132. #518C22semidirect
133. #518C22semidirect
137. C4×#41C22semidirect
138. C4×#41C22semidirect
139. C4×#41C22semidirect
140. C4×#41C22semidirect
141. C4×#41C22semidirect
142. C4×#41C22semidirect
143. C4×#41C22semidirect
144. C4×#41C22semidirect
145. C4×#41C22semidirect
146. C4×#41C22semidirect
147. C2×C4×Q8C22semidirect
148. C2×C4×Q8C22semidirect
149. C2×C4×Q8C22semidirect
150. C2×C4×D4C22semidirect
151. C2×C4×D4C22semidirect
152. C2×C4×D4C22semidirect
153. C2×C4×D4C22semidirect
154. C2×#117C22semidirect
155. C2×#117C22semidirect
156. C2×#117C22semidirect
157. C22×C42C22semidirect
410. #41#41semidirect

Maximal subgroups

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

subgroupindex
#35242
#35232
#35222
#35212
#35202
#35192
#35182
#35172
#35162
#35152
#35142
#35132
#34802
Q8×#412
#34752
D4×#412
#34552
#34442
C2×#5292
#34282
C2×C4×#412