Finite Group Databasebeta

← #62810

Subgroups — #62810

Order 256.

3610 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3524C212yesmaximal, complemented
2#3521C216yesmaximal, complemented
3#3516C212yesmaximal, complemented
4#3513C216yesmaximal, complemented
5#3512C213yesmaximal, complemented
6#3510C213yesmaximal, complemented
7#3504C211yesmaximal, characteristic, complemented
8#3500C211yesmaximal, characteristic, complemented
9#3495C213yesmaximal, complemented
10#3494C213yesmaximal, complemented
11#3489C211yesmaximal, characteristic, complemented
12#3488C211yesmaximal, characteristic, complemented
13#3482C212yesmaximal, complemented
14#3481C216yesmaximal, complemented
15#3480C212yesmaximal, complemented
16#3475C216yesmaximal, complemented
17#3461C213yesmaximal, complemented
18#3460C213yesmaximal, complemented
19#3444C213yesmaximal, complemented
20C2×#529C213yesmaximal, complemented
21C4×2−1+4C211yesmaximal, characteristic, complemented
22C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
23C2×C4×#41C211yesmaximal, characteristic, complemented
24C2×2−1+4C2211yescharacteristic
25C2×H(5,𝔽2)C2211yescharacteristic
26C22×#41C2211yescharacteristic
27#559C2216yescomplemented
28#559C2216yescomplemented
29#557C2212yescomplemented
30#557C2212yescomplemented
31#556C2216yescomplemented
32#556C2216yescomplemented
33#556C2216yescomplemented
34#555C2216yescomplemented
35#554C2216yescomplemented
36#554C2216yescomplemented
37#554C2216yescomplemented
38#553C22112yescomplemented
39#553C2216yescomplemented
40#553C2216yescomplemented
41#553C2216yescomplemented
42#553C22112yescomplemented
43#553C2216yescomplemented
44#552C22112yescomplemented
45#552C2216yescomplemented
46#552C2216yescomplemented
47#552C2216yescomplemented
48#552C2216yescomplemented
49#551C22112yescomplemented
50#551C22112yescomplemented
51#551C22112yescomplemented
52#551C22112yescomplemented
53#550C2212yes—
54D4×Q8C2212yescomplemented
55#548C2212yes—
56#548C2212yescomplemented
57#548C2212yescomplemented
58#548C2212yescomplemented
59#547C2216yescomplemented
60#547C2216yescomplemented
61#546C2216yes—
62#546C2216yescomplemented
63#546C2216yescomplemented
64#546C22112yescomplemented
65#546C2216yescomplemented
66D42C2216yes—
67#544C2213yescomplemented
68#544C2213yescomplemented
69#542C2216yescomplemented
70#542C2216yescomplemented
71#542C2216yescomplemented
72#542C2216yescomplemented
73#541C2216yescomplemented
74#541C2216yescomplemented
75#540C2216yescomplemented
76#540C2216yescomplemented
77#539C22112yescomplemented
78#538C22112yescomplemented
79#537C2213yes—
80#537C2213yescomplemented
81#536C2213yescomplemented
82#536C2213yescomplemented
83#535C2213yes—
84#535C2213yescomplemented
85#533C2213yescomplemented
86#533C2213yescomplemented
87#533C2213yescomplemented
88#533C2216yescomplemented
89#532C2213yescomplemented
90#532C2213yescomplemented
91#532C2213yescomplemented
92#532C2216yescomplemented
93#529C2213yescomplemented
94#529C2216yescomplemented
95#529C2216yescomplemented
96#529C2216yescomplemented
97#529C2216yescomplemented
98#529C2216yescomplemented
99#529C2216yescomplemented
100#529C2216yescomplemented
101#529C2211yescharacteristic, complemented
102#529C2216yescomplemented
103#529C2213yescomplemented
104#529C2213yescomplemented
105#529C2216yescomplemented
106#529C2216yescomplemented
107#529C2216yescomplemented
108#529C2216yescomplemented
109#529C22112yescomplemented
110#529C2216yescomplemented
111C2×#126C2216yescomplemented
112C2×#125C2213yescomplemented
113C2×#124C2213yescomplemented
114#525C2213yes—
115#525C2216yescomplemented
116#525C2213yescomplemented
117#525C2216yescomplemented
118#525C22112yescomplemented
119C2×#123C2216yescomplemented
120C2×C22⋊Q8C2213yescomplemented
121C2×#121C2213yes—
122#520C2211yescharacteristic
123#520C2211yescharacteristic
124#520C2213yescomplemented
125#520C2212yescomplemented
126#520C2213yescomplemented
127#520C2216yescomplemented
128#519C2213yescomplemented
129#519C2212yescomplemented
130#518C2213yescomplemented
131#518C2216yescomplemented
132C4×#41C2211yescharacteristic
133C4×#41C2211yescharacteristic
134C4×#41C2213yescomplemented
135C4×#41C2213yescomplemented
136C4×#41C2211yescharacteristic, complemented
137C4×#41C2213yescomplemented
138C4×#41C2213yescomplemented
139C4×#41C2211yescharacteristic, complemented
140C4×#41C2213yescomplemented
141C4×#41C2212yescomplemented
142C4×#41C2213yescomplemented
143C4×#41C2216yescomplemented
144C4×#41C2216yescomplemented
145C4×#41C2216yescomplemented
146C2×C4×Q8C2211yescharacteristic, complemented
147C2×C4×Q8C2211yescharacteristic, complemented
148C2×C4×Q8C2213yescomplemented
149C2×C4×Q8C2212yescomplemented
150C2×C4×D4C2213yescomplemented
151C2×C4×D4C2213yescomplemented
152C2×C4×D4C2213yescomplemented
153C2×C4×D4C2216yescomplemented
154C2×C4×D4C2216yescomplemented
155C2×#117C2213yescomplemented
156C2×#117C2216yescomplemented
157C22×C42C2213yescomplemented
1582−1+4—28no—
159H(5,𝔽2)—28no—
160C2×#41—28no—
161C2×#41C2313yes—
162C2×#41C2313yes—
163C2×#41C2311yescharacteristic
164C2×#41C2313yes—
165C2×#41C2313yes—
166C2×#41C2316yes—
167C2×#41C2312yes—
168C2×#41C2316yes—
169C2×#41C2316yes—
170C2×#41C2311yescharacteristic
171C22×Q8C2311yescharacteristic
172C22×Q8C2313yes—
173C22×Q8C2312yes—
174C22×D4C2313yes—
175C22×D4C2313yes—
176C22×D4C2316yes—
177C22×D4C2316yes—
178C23×C4C2313yes—
179C23×C4C2316yes—
180C23×C4C2313yes—
181C23×C4C2313yes—
182C4⋊Q8C2313yes—
183C4⋊Q8C2313yes—
184C4⋊Q8C2313yes—
185C4⋊Q8C2316yes—
186C4⋊Q8C2316yes—
187C4⋊Q8C2316yes—
188#127C2313yes—
189#127C2316yes—
190#126C2316yes—
191#126C23112yes—
192#126C23112yes—
193#126C23112yes—
194#126C2312yes—
195#126C2316yes—
196#126C2316yes—
197#126C23112yes—
198#126C23112yes—
199#126C23112yes—
200#126C23112yes—
201#125C2313yes—
202#125C2316yes—
203#125C2316yes—
204#125C2316yes—
205#125C2311yescharacteristic
206#125C2316yes—
207#125C2316yes—
208#125C2316yes—
209#125C23112yes—
210#125C2316yes—
211#125C23112yes—
212#124C2313yes—
213#124C2316yes—
214#124C2316yes—
215#124C2316yes—
216#124C2311yescharacteristic
217#124C2316yes—
218#124C2316yes—
219#124C2316yes—
220#124C2316yes—
221#124C23112yes—
222#124C23112yes—
223#123C2316yes—
224#123C23112yes—
225#123C23112yes—
226#123C23112yes—
227#123C2316yes—
228#123C2312yes—
229#123C2316yes—
230#123C2316yes—
231#123C2316yes—
232#123C23112yes—
233#123C23112yes—
234#123C23112yes—
235#123C23112yes—
236#123C23112yes—
237#123C23112yes—
238C22⋊Q8C2313yes—
239C22⋊Q8C2316yes—
240C22⋊Q8C2316yes—
241C22⋊Q8C2316yes—
242C22⋊Q8C2311yescharacteristic
243C22⋊Q8C2313yes—
244C22⋊Q8C2313yes—
245C22⋊Q8C2316yes—
246C22⋊Q8C2316yes—
247C22⋊Q8C2316yes—
248C22⋊Q8C2316yes—
249C22⋊Q8C23112yes—
250C22⋊Q8C23112yes—
251C22⋊Q8C2316yes—
252C22⋊Q8C2316yes—
253C22⋊Q8C23112yes—
254C22⋊Q8C2316yes—
255C22⋊Q8C2316yes—
256C22⋊Q8C23112yes—
257#121C2313yes—
258#121C2316yes—
259#121C2316yes—
260#121C2316yes—
261#121C2313yes—
262#121C2311yescharacteristic
263#121C2313yes—
264#121C2316yes—
265#121C2316yes—
266#121C2316yes—
267#121C2316yes—
268#121C23112yes—
269#121C23112yes—
270#121C2316yes—
271#121C23112yes—
272#121C2316yes—
273#121C2316yes—
274#121C2316yes—
275#121C23112yes—
276#120C2316yes—
277#120C2316yes—
278#120C23112yes—
279#120C23112yes—
280C4×Q8C2311yescharacteristic
281C4×Q8C2313yes—
282C4×Q8C2316yes—
283C4×Q8C2311yescharacteristic
284C4×Q8C2311yescharacteristic
285C4×Q8C2311yescharacteristic
286C4×Q8C2313yes—
287C4×Q8C2313yes—
288C4×Q8C2313yes—
289C4×Q8C2313yes—
290C4×Q8C2312yes—
291C4×Q8C2316yes—
292C4×Q8C2316yes—
293C4×Q8C2316yes—
294C4×Q8C2311yescharacteristic
295C4×Q8C2313yes—
296C4×Q8C2316yes—
297C4×Q8C2312yes—
298C4×Q8C2313yes—
299C4×Q8C2316yes—
300C4×Q8C2316yes—
301C4×Q8C2316yes—
302C4×Q8C2316yes—
303C4×D4C2313yes—
304C4×D4C2316yes—
305C4×D4C2316yes—
306C4×D4C2313yes—
307C4×D4C2316yes—
308C4×D4C2313yes—
309C4×D4C2313yes—
310C4×D4C2313yes—
311C4×D4C2316yes—
312C4×D4C2313yes—
313C4×D4C2316yes—
314C4×D4C2313yes—
315C4×D4C2316yes—
316C4×D4C2316yes—
317C4×D4C2313yes—
318C4×D4C2313yes—
319C4×D4C2316yes—
320C4×D4C2316yes—
321C4×D4C2316yes—
322C4×D4C23112yes—
323C4×D4C2316yes—
324C4×D4C23112yes—
325C4×D4C23112yes—
326C4×D4C23112yes—
327C4×D4C2316yes—
328C4×D4C2312yes—
329C4×D4C2311yescharacteristic
330C4×D4C2316yes—
331C4×D4C2313yes—
332C4×D4C2316yes—
333C4×D4C2316yes—
334C4×D4C2316yes—
335C4×D4C2313yes—
336C4×D4C23112yes—
337C4×D4C2316yes—
338C4×D4C2316yes—
339C4×D4C2316yes—
340C4×D4C2316yes—
341C4×D4C2316yes—
342C4×D4C2316yes—
343C4×D4C2316yes—
344C4×D4C2316yes—
345C4×D4C2316yes—
346C4×D4C2316yes—
347#117C2316yes—
348#117C2313yes—
349#117C2313yes—
350#117C2316yes—
351#117C2316yes—
352#117C2313yes—
353#117C2313yes—
354#117C23112yes—
355#117C23112yes—
356#117C23112yes—
357#117C2312yes—
358#117C2313yes—
359#117C2316yes—
360#117C2316yes—
361#117C2313yes—
362#117C2316yes—
363#117C23112yes—
364#117C2316yes—
365#117C2316yes—
366#117C2316yes—
367#117C2316yes—
368#117C2316yes—
369C2×C4⋊C4C2313yes—
370C2×C4⋊C4C2313yes—
371C2×C4⋊C4C2316yes—
372C2×C4⋊C4C2316yes—
373C2×C4⋊C4C2313yes—
374C2×C4⋊C4C2316yes—
375C2×C4⋊C4C2316yes—
376C2×C4⋊C4C2313yes—
377C2×C4⋊C4C2316yes—
378C2×C4⋊C4C2316yes—
379C2×C22⋊C4C2316yes—
380C2×C22⋊C4C2316yes—
381C2×C22⋊C4C2316yes—
382C2×C22⋊C4C2316yes—
383C2×C22⋊C4C23112yes—
384C2×C22⋊C4C2316yes—
385C2×C22⋊C4C2316yes—
386C2×C42C2313yes—
387C2×C42C2313yes—
388C2×C42C2316yes—
389C2×C42C2313yes—
390C2×C42C2313yes—
391C2×C42C2313yes—
392C2×C42C2316yes—
393C2×C42C2316yes—
394C2×C42C2313yes—
395C2×C42C2313yes—
396C2×C42C2313yes—
397C2×C42C2313yes—
398C2×C42C2313yes—
399C2×C42C2313yes—
400C2×C42C2311yescharacteristic
401C24C2413yes—
402C24C2416yes—
403#41—24no—
404#41—28no—
405#41—212no—
406#41—224no—
407#41—212no—
408#41—212no—
409#41—212no—
410#41—412no—
411#41—412no—
412#41#4118yescomplemented
413C2×Q8—24no—
414C2×Q8—28no—
415C2×Q8—212no—
416C2×Q8C2413yes—
417C2×Q8C2416yes—
418C2×Q8C2413yes—
419C2×Q8C2411yescharacteristic
420C2×Q8C2416yes—
421C2×Q8C2416yes—
422C2×Q8C2411yescharacteristic
423C2×D4—212no—
424C2×D4—224no—
425C2×D4—212no—
426C2×D4—412no—
427C2×D4C2416yes—
428C2×D4C2412yes—
429C2×D4C2416yes—
430C2×D4C2416yes—
431C2×D4C2416yes—
432C2×D4C2413yes—
433C2×D4C2416yes—
434C2×D4C2413yes—
435C2×D4C2411yescharacteristic
436C2×D4C2416yes—
437C2×D4C2416yes—
438C2×D4C2416yes—
439C2×D4C2416yes—
440C2×D4C24112yes—
441C2×D4C2413yes—
442C22×C4—212no—
443C22×C4—46no—
444C22×C4—412no—
445C22×C4—46no—
446C22×C4C2411yescharacteristic
447C22×C4C2411yescharacteristic
448C22×C4C2413yes—
449C22×C4C2413yes—
450C22×C4C2413yes—
451C22×C4C2413yes—
452C22×C4C2413yes—
453C22×C4C2416yes—
454C22×C4C2416yes—
455C22×C4C2416yes—
456C22×C4C2413yes—
457C22×C4C2411yescharacteristic
458C22×C4C2412yes—
459C22×C4C2413yes—
460C22×C4C2416yes—
461C22×C4C2413yes—
462C22×C4C2413yes—
463C22×C4C2413yes—
464C22×C4C2413yes—
465C22×C4C2413yes—
466C22×C4C2413yes—
467C22×C4C2413yes—
468C22×C4C2416yes—
469C22×C4C2416yes—
470C22×C4C2416yes—
471C22×C4C2416yes—
472C22×C4C24112yes—
473C22×C4C2413yes—
474C4⋊C4C2413yes—
475C4⋊C4C2413yes—
476C4⋊C4C2416yes—
477C4⋊C4C2416yes—
478C4⋊C4C2413yes—
479C4⋊C4C2416yes—
480C4⋊C4C2416yes—
481C4⋊C4C2416yes—
482C4⋊C4C2413yes—
483C4⋊C4C2416yes—
484C4⋊C4C2416yes—
485C4⋊C4C24112yes—
486C4⋊C4C2413yes—
487C4⋊C4C2413yes—
488C4⋊C4C2416yes—
489C4⋊C4C2416yes—
490C4⋊C4C24112yes—
491C4⋊C4C24112yes—
492C4⋊C4C24112yes—
493C4⋊C4C2411yescharacteristic
494C4⋊C4C2412yes—
495C4⋊C4C2411yescharacteristic
496C4⋊C4C2416yes—
497C4⋊C4C2412yes—
498C4⋊C4C2412yes—
499C4⋊C4C2412yes—
500C4⋊C4C2416yes—
501C4⋊C4C2416yes—
502C4⋊C4C2416yes—
503C4⋊C4C2416yes—
504C4⋊C4C2416yes—
505C4⋊C4C2416yes—
506C22⋊C4C2416yes—
507C22⋊C4C2416yes—
508C22⋊C4C2416yes—
509C22⋊C4C2416yes—
510C22⋊C4C2416yes—
511C22⋊C4C2416yes—
512C22⋊C4C24112yes—
513C22⋊C4C2416yes—
514C22⋊C4C2416yes—
515C22⋊C4C2416yes—
516C22⋊C4C2416yes—
517C22⋊C4C2416yes—
518C22⋊C4C24112yes—
519C22⋊C4C24112yes—
520C22⋊C4C24112yes—
521C22⋊C4C24112yes—
522C22⋊C4C2416yes—
523C22⋊C4C2412yes—
524C22⋊C4C2416yes—
525C22⋊C4C2412yes—
526C22⋊C4C2412yes—
527C22⋊C4C2412yes—
528C22⋊C4C2412yes—
529C22⋊C4C2416yes—
530C22⋊C4C2416yes—
531C22⋊C4C2416yes—
532C22⋊C4C2416yes—
533C42C2411yescharacteristic
534C42C2411yescharacteristic
535C42C2413yes—
536C42C2413yes—
537C42C2413yes—
538C42C2413yes—
539C42C2413yes—
540C42C2413yes—
541C42C2413yes—
542C42C2413yes—
543C42C2413yes—
544C42C2413yes—
545C42C2416yes—
546C42C24112yes—
547C42C2416yes—
548C42C2416yes—
549C42C2416yes—
550C42C2411yescharacteristic
551C42C2411yescharacteristic
552C42C2413yes—
553C42C2416yes—
554C42C2412yes—
555C42C2413yes—
556C23—26no—
557C23—26no—
558C23—212no—
559C23—43no—
560C23—46no—
561C23—46no—
562C23C2516yes—
563C23C2513yes—
564C23C2512yes—
565C23C2513yes—
566C23C2511yescharacteristic
567Q8—212no—
568Q8—26no—
569Q8—26no—
570Q8—22no—
571Q8—46no—
572Q8—46no—
573Q8C2×#4114yes—
574D4—212no—
575D4—212no—
576D4—212no—
577D4—212no—
578D4—24no—
579D4—212no—
580D4—26no—
581D4—26no—
582D4—22no—
583D4—412no—
584D4—46no—
585D4—46no—
586D4—46no—
587D4—46no—
588D4C2×#41112yes—
589C2×C4—26no—
590C2×C4—212no—
591C2×C4—22no—
592C2×C4—26no—
593C2×C4—22no—
594C2×C4—26no—
595C2×C4—26no—
596C2×C4—26no—
597C2×C4—212no—
598C2×C4—212no—
599C2×C4—22no—
600C2×C4—26no—
601C2×C4—212no—
602C2×C4—26no—
603C2×C4—24no—
604C2×C4—43no—
605C2×C4—43no—
606C2×C4—43no—
607C2×C4—412no—
608C2×C4—43no—
609C2×C4—43no—
610C2×C4—43no—
611C2×C4—43no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—46no—
615C2×C4—46no—
616C2×C4C2×#41112yes—
617C2×C4C2511yescharacteristic
618C2×C4C2511yescharacteristic
619C2×C4C2511yescharacteristic
620C2×C4C2511yescharacteristic
621C2×C4C2513yes—
622C2×C4C2513yes—
623C2×C4C2512yes—
624C2×C4C2516yes—
625C2×C4C2512yes—
626C2×C4C2513yes—
627C2×C4C2513yes—
628C2×C4C2513yes—
629C2×C4C2512yes—
630C2×C4C2516yes—
631C2×C4C2516yes—
632C2×C4C2513yes—
633C2×C4C2511yescharacteristic
634C2×C4C2511yescharacteristic
635C22—21no—
636C22—21no—
637C22—23no—
638C22—23no—
639C22—22no—
640C22—23no—
641C22—26no—
642C22—26no—
643C22—23no—
644C22—22no—
645C22—22no—
646C22—23no—
647C22—26no—
648C22—412no—
649C22—812no—
650C22C22×#4116yes—
651C22#58512yes—
652C22C2611yescharacteristic
653C4—21no—
654C4—22no—
655C4—23no—
656C4—26no—
657C4—21no—
658C4—21no—
659C4—23no—
660C4—21no—
661C4—23no—
662C4—26no—
663C4—23no—
664C4—23no—
665C4—22no—
666C4—26no—
667C4—22no—
668C4C22×#4116yes—
669C4C22×#4112yes—
670C4#58512yes—
671C2—22no—
672C2—26no—
673C2—42no—
674C2—43no—
675C2—46no—
676C2C23×#4111yescharacteristic
677C2C2×#58511yescharacteristic
678C2C2×#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. #3521C2semidirect
3. #3516C2semidirect
4. #3513C2semidirect
5. #3512C2semidirect
6. #3510C2semidirect
7. #3504C2semidirect
8. #3500C2semidirect
9. #3495C2semidirect
10. #3494C2semidirect
11. #3489C2semidirect
12. #3488C2semidirect
13. #3482C2semidirect
14. #3481C2semidirect
15. #3480C2semidirect
16. #3475C2semidirect
17. #3461C2semidirect
18. #3460C2semidirect
19. #3444C2semidirect
20. C2×#529C2semidirect
21. C4×2−1+4C2semidirect
22. C4×H(5,𝔽2)C2semidirect
23. C2×C4×#41C2semidirect
27. #559C22semidirect
28. #559C22semidirect
29. #557C22semidirect
30. #557C22semidirect
31. #556C22semidirect
32. #556C22semidirect
33. #556C22semidirect
34. #555C22semidirect
35. #554C22semidirect
36. #554C22semidirect
37. #554C22semidirect
38. #553C22semidirect
39. #553C22semidirect
40. #553C22semidirect
41. #553C22semidirect
42. #553C22semidirect
43. #553C22semidirect
44. #552C22semidirect
45. #552C22semidirect
46. #552C22semidirect
47. #552C22semidirect
48. #552C22semidirect
49. #551C22semidirect
50. #551C22semidirect
51. #551C22semidirect
52. #551C22semidirect
54. D4×Q8C22semidirect
56. #548C22semidirect
57. #548C22semidirect
58. #548C22semidirect
59. #547C22semidirect
60. #547C22semidirect
62. #546C22semidirect
63. #546C22semidirect
64. #546C22semidirect
65. #546C22semidirect
67. #544C22semidirect
68. #544C22semidirect
69. #542C22semidirect
70. #542C22semidirect
71. #542C22semidirect
72. #542C22semidirect
73. #541C22semidirect
74. #541C22semidirect
75. #540C22semidirect
76. #540C22semidirect
77. #539C22semidirect
78. #538C22semidirect
80. #537C22semidirect
81. #536C22semidirect
82. #536C22semidirect
84. #535C22semidirect
85. #533C22semidirect
86. #533C22semidirect
87. #533C22semidirect
88. #533C22semidirect
89. #532C22semidirect
90. #532C22semidirect
91. #532C22semidirect
92. #532C22semidirect
93. #529C22semidirect
94. #529C22semidirect
95. #529C22semidirect
96. #529C22semidirect
97. #529C22semidirect
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. C2×#126C22semidirect
112. C2×#125C22semidirect
113. C2×#124C22semidirect
115. #525C22semidirect
116. #525C22semidirect
117. #525C22semidirect
118. #525C22semidirect
119. C2×#123C22semidirect
120. C2×C22⋊Q8C22semidirect
124. #520C22semidirect
125. #520C22semidirect
126. #520C22semidirect
127. #520C22semidirect
128. #519C22semidirect
129. #519C22semidirect
130. #518C22semidirect
131. #518C22semidirect
134. C4×#41C22semidirect
135. C4×#41C22semidirect
136. C4×#41C22semidirect
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. C2×C4×Q8C22semidirect
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×C4×D4C22semidirect
155. C2×#117C22semidirect
156. C2×#117C22semidirect
157. C22×C42C22semidirect
412. #41#41semidirect

Maximal subgroups

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

subgroupindex
#35242
#35212
#35162
#35132
#35122
#35102
#35042
#35002
#34952
#34942
#34892
#34882
#34822
#34812
#34802
#34752
#34612
#34602
#34442
C2×#5292
C4×2−1+42
C4×H(5,𝔽2)2
C2×C4×#412