Finite Group Databasebeta

← #62993

Subgroups — #62993

Order 256.

3522 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#3523C212yesmaximal, complemented
3#3521C216yesmaximal, complemented
4#3516C212yesmaximal, complemented
5#3515C216yesmaximal, complemented
6#3513C216yesmaximal, complemented
7#3512C213yesmaximal, complemented
8#3507C213yesmaximal, complemented
9#3504C211yesmaximal, characteristic, complemented
10#3495C213yesmaximal, complemented
11#3495C213yesmaximal, complemented
12#3493C213yesmaximal, complemented
13#3492C213yesmaximal, complemented
14#3489C211yesmaximal, characteristic, complemented
15#3489C211yesmaximal, characteristic, complemented
16#3482C212yesmaximal, complemented
17#3475C213yesmaximal, complemented
18#3475C216yesmaximal, complemented
19C2×#552C213yesmaximal, complemented
20D4×#41C211yesmaximal, characteristic, complemented
21C4×2−1+4C211yesmaximal, characteristic, complemented
22#3428C211yesmaximal, characteristic, complemented
23C2×#520C211yesmaximal, characteristic, complemented
24C2×2−1+4C2211yescharacteristic
25C22×#41C2211yescharacteristic
26C22×#41C2211yescharacteristic
27#559C2216yescomplemented
28#557C2212yescomplemented
29#557C2212yescomplemented
30#557C2216yescomplemented
31#556C2213yescomplemented
32#556C2216yescomplemented
33#556C2216yescomplemented
34#556C2216yescomplemented
35#556C2216yescomplemented
36#555C2213yescomplemented
37#555C2216yescomplemented
38#554C2213yescomplemented
39#554C2216yescomplemented
40#554C2216yescomplemented
41#554C2216yescomplemented
42#554C2216yescomplemented
43#553C2211yescharacteristic
44#553C2213yescomplemented
45#553C22112yescomplemented
46#553C2216yescomplemented
47#553C2216yescomplemented
48#553C2216yescomplemented
49#553C22112yescomplemented
50#552C2213yes—
51#552C2216yes—
52#552C2216yescomplemented
53#552C2216yescomplemented
54#552C2216yescomplemented
55#552C2216yescomplemented
56#552C2216yescomplemented
57#552C2216yescomplemented
58#552C2216yescomplemented
59#552C22112yescomplemented
60#552C2213yescomplemented
61#552C2216yescomplemented
62#552C2216yescomplemented
63#552C2216yescomplemented
64#552C22112yescomplemented
65#551C2216yescomplemented
66#551C22112yescomplemented
67#551C2216yescomplemented
68#551C22112yescomplemented
69#550C2211yescharacteristic
70D4×Q8C2211yescharacteristic
71D4×Q8C2212yescomplemented
72D4×Q8C2212yescomplemented
73#548C2211yescharacteristic
74#548C2211yescharacteristic
75#548C2212yescomplemented
76#548C2212yescomplemented
77#547C2213yes—
78#547C2216yescomplemented
79#547C2213yescomplemented
80#547C2216yescomplemented
81#547C2216yescomplemented
82#546C2213yes—
83#546C2213yes—
84#546C2216yes—
85#546C2216yescomplemented
86#546C2216yescomplemented
87D42C2213yes—
88#544C2213yescomplemented
89#544C2213yescomplemented
90#542C2216yescomplemented
91#542C2216yescomplemented
92#541C2216yescomplemented
93#541C2216yescomplemented
94#541C2216yescomplemented
95#540C2216yescomplemented
96#539C22112yescomplemented
97#539C22112yescomplemented
98#538C22112yescomplemented
99#537C2213yescomplemented
100#537C2213yescomplemented
101#536C2213yescomplemented
102#536C2213yescomplemented
103#533C2216yescomplemented
104#533C2213yescomplemented
105#533C2216yescomplemented
106#532C2213yes—
107#529C2216yes—
108#529C22112yescomplemented
109#529C2216yescomplemented
110#529C22112yescomplemented
111#529C2216yescomplemented
112#529C2216yescomplemented
113#529C2216yescomplemented
114#529C2216yescomplemented
115#529C2216yescomplemented
116C2×#126C2216yescomplemented
117C2×#125C2213yescomplemented
118C2×#125C2216yescomplemented
119#525C2213yes—
120#525C2213yes—
121#525C2213yescomplemented
122#525C2213yescomplemented
123#525C22112yescomplemented
124C2×#123C2216yes—
125C2×C22⋊Q8C2213yescomplemented
126C2×C22⋊Q8C2213yescomplemented
127#520C2211yescharacteristic
128#520C2211yescharacteristic
129#520C2211yescharacteristic
130#520C2213yescomplemented
131#520C2213yescomplemented
132#520C2216yescomplemented
133#520C2212yescomplemented
134#520C2213yescomplemented
135#520C2213yescomplemented
136#520C2213yescomplemented
137#520C2216yescomplemented
138#519C2212yescomplemented
139#519C2213yescomplemented
140#519C2212yescomplemented
141#518C2216yescomplemented
142C4×#41C2211yescharacteristic
143C4×#41C2216yescomplemented
144C4×#41C2212yescomplemented
145C4×#41C2213yescomplemented
146C4×#41C2216yescomplemented
147C4×#41C2216yescomplemented
148C2×C4×Q8C2212yescomplemented
149C2×C4×Q8C2213yescomplemented
150C2×C4×Q8C2212yescomplemented
151C2×C4×D4C2213yes—
152C2×C4×D4C2216yescomplemented
153C2×#117C2213yescomplemented
154C2×#117C2213yescomplemented
155C2×#117C2213yescomplemented
156C2×#117C2216yescomplemented
157C22×C4⋊C4C2213yescomplemented
1582−1+4—28no—
159C2×#41—28no—
160C2×#41—28no—
161C2×#41C2313yes—
162C2×#41C2311yescharacteristic
163C2×#41C2313yes—
164C2×#41C2316yes—
165C2×#41C2313yes—
166C2×#41C2313yes—
167C2×#41C2313yes—
168C2×#41C2311yescharacteristic
169C2×#41C2316yes—
170C2×#41C2311yescharacteristic
171C22×Q8C2311yescharacteristic
172C22×Q8C2313yes—
173C22×Q8C2312yes—
174C22×Q8C2311yescharacteristic
175C22×D4C2313yes—
176C22×D4C2313yes—
177C22×D4C2313yes—
178C23×C4C2313yes—
179C23×C4C2313yes—
180C23×C4C2316yes—
181C4⋊Q8C2313yes—
182C4⋊Q8C2316yes—
183C4⋊Q8C2316yes—
184C4⋊Q8C2316yes—
185C4⋊Q8C2316yes—
186C4⋊Q8C2313yes—
187C4⋊Q8C2313yes—
188#127C2313yes—
189#126C2316yes—
190#126C23112yes—
191#126C23112yes—
192#126C23112yes—
193#126C2316yes—
194#126C2316yes—
195#126C2316yes—
196#126C2316yes—
197#126C2312yes—
198#126C23112yes—
199#126C23112yes—
200#126C23112yes—
201#126C23112yes—
202#125C2316yes—
203#125C2313yes—
204#125C2316yes—
205#125C23112yes—
206#125C23112yes—
207#125C23112yes—
208#125C2316yes—
209#125C2316yes—
210#125C2316yes—
211#125C23112yes—
212#125C2316yes—
213#125C2316yes—
214#125C2316yes—
215#125C2311yescharacteristic
216#125C23112yes—
217#124C2316yes—
218#124C2316yes—
219#124C2313yes—
220#124C2313yes—
221#124C2316yes—
222#124C2316yes—
223#124C23112yes—
224#124C2316yes—
225#123C2316yes—
226#123C23112yes—
227#123C23112yes—
228#123C23112yes—
229#123C2316yes—
230#123C2316yes—
231#123C2316yes—
232#123C2316yes—
233#123C2316yes—
234#123C2312yes—
235#123C2316yes—
236#123C23112yes—
237#123C23112yes—
238#123C23112yes—
239#123C2316yes—
240#123C2316yes—
241#123C23112yes—
242C22⋊Q8C2313yes—
243C22⋊Q8C2313yes—
244C22⋊Q8C2316yes—
245C22⋊Q8C2316yes—
246C22⋊Q8C2316yes—
247C22⋊Q8C2316yes—
248C22⋊Q8C2316yes—
249C22⋊Q8C2316yes—
250C22⋊Q8C2313yes—
251C22⋊Q8C2313yes—
252C22⋊Q8C2313yes—
253C22⋊Q8C2313yes—
254C22⋊Q8C2313yes—
255C22⋊Q8C2313yes—
256C22⋊Q8C23112yes—
257C22⋊Q8C23112yes—
258C22⋊Q8C2316yes—
259C22⋊Q8C2316yes—
260C22⋊Q8C2316yes—
261C22⋊Q8C2316yes—
262C22⋊Q8C23112yes—
263C22⋊Q8C2316yes—
264C22⋊Q8C2316yes—
265C22⋊Q8C2316yes—
266C22⋊Q8C23112yes—
267#121C2313yes—
268#121C2313yes—
269#121C2313yes—
270#121C2313yes—
271#121C2311yescharacteristic
272#121C2311yescharacteristic
273#121C2313yes—
274#121C2313yes—
275#121C23112yes—
276#121C23112yes—
277#121C2312yes—
278#121C2316yes—
279#121C23112yes—
280#121C2316yes—
281#121C2316yes—
282#121C2316yes—
283#121C2316yes—
284#121C2316yes—
285#120C2316yes—
286#120C2316yes—
287#120C2316yes—
288#120C2316yes—
289C4×Q8C2311yescharacteristic
290C4×Q8C2312yes—
291C4×Q8C2313yes—
292C4×Q8C2316yes—
293C4×Q8C2316yes—
294C4×Q8C2316yes—
295C4×Q8C2316yes—
296C4×Q8C2312yes—
297C4×Q8C2316yes—
298C4×Q8C2316yes—
299C4×Q8C2311yescharacteristic
300C4×Q8C2316yes—
301C4×Q8C2313yes—
302C4×Q8C2312yes—
303C4×Q8C2316yes—
304C4×Q8C2316yes—
305C4×Q8C2316yes—
306C4×Q8C2316yes—
307C4×Q8C2316yes—
308C4×Q8C23112yes—
309C4×D4C2311yescharacteristic
310C4×D4C2313yes—
311C4×D4C2313yes—
312C4×D4C2313yes—
313C4×D4C2313yes—
314C4×D4C2313yes—
315C4×D4C2313yes—
316C4×D4C2313yes—
317C4×D4C2316yes—
318C4×D4C2316yes—
319C4×D4C23112yes—
320C4×D4C2316yes—
321C4×D4C23112yes—
322C4×D4C2316yes—
323C4×D4C2313yes—
324C4×D4C2313yes—
325C4×D4C2312yes—
326C4×D4C2316yes—
327C4×D4C2311yescharacteristic
328C4×D4C2316yes—
329C4×D4C23112yes—
330C4×D4C2316yes—
331C4×D4C2316yes—
332C4×D4C23112yes—
333C4×D4C23112yes—
334C4×D4C2316yes—
335C4×D4C2313yes—
336C4×D4C2316yes—
337C4×D4C2316yes—
338C4×D4C2316yes—
339C4×D4C2316yes—
340C4×D4C2316yes—
341C4×D4C2316yes—
342C4×D4C2316yes—
343C4×D4C23112yes—
344C4×D4C23112yes—
345#117C2313yes—
346#117C2311yescharacteristic
347#117C2313yes—
348#117C2316yes—
349#117C2316yes—
350#117C2316yes—
351#117C2316yes—
352#117C2316yes—
353#117C2313yes—
354#117C2313yes—
355#117C2316yes—
356#117C2316yes—
357#117C2316yes—
358#117C2313yes—
359#117C2313yes—
360#117C23112yes—
361#117C23112yes—
362#117C23112yes—
363#117C2313yes—
364#117C2316yes—
365#117C23112yes—
366#117C2316yes—
367#117C2316yes—
368#117C2316yes—
369#117C23112yes—
370C2×C4⋊C4C2313yes—
371C2×C4⋊C4C2313yes—
372C2×C4⋊C4C2316yes—
373C2×C4⋊C4C2313yes—
374C2×C4⋊C4C2316yes—
375C2×C4⋊C4C2316yes—
376C2×C4⋊C4C2316yes—
377C2×C4⋊C4C2311yescharacteristic
378C2×C4⋊C4C2313yes—
379C2×C4⋊C4C2313yes—
380C2×C4⋊C4C2313yes—
381C2×C4⋊C4C2316yes—
382C2×C4⋊C4C2316yes—
383C2×C4⋊C4C2313yes—
384C2×C4⋊C4C2316yes—
385C2×C4⋊C4C2316yes—
386C2×C4⋊C4C2316yes—
387C2×C4⋊C4C2316yes—
388C2×C22⋊C4C2313yes—
389C2×C22⋊C4C2316yes—
390C2×C22⋊C4C2316yes—
391C2×C22⋊C4C2316yes—
392C2×C22⋊C4C2316yes—
393C2×C22⋊C4C2313yes—
394C2×C22⋊C4C2316yes—
395C2×C42C2316yes—
396C2×C42C2316yes—
397C2×C42C2316yes—
398C2×C42C2316yes—
399C2×C42C2313yes—
400C2×C42C2316yes—
401C24C2413yes—
402C24C2413yes—
403#41—24no—
404#41—24no—
405#41—212no—
406#41—212no—
407#41—224no—
408#41—212no—
409#41—212no—
410#41—212no—
411#41—412no—
412#41#4118yescomplemented
413C2×Q8—24no—
414C2×Q8—24no—
415C2×Q8—28no—
416C2×Q8—212no—
417C2×Q8C2413yes—
418C2×Q8C2416yes—
419C2×Q8C2413yes—
420C2×Q8C2413yes—
421C2×Q8C2416yes—
422C2×Q8C2416yes—
423C2×Q8C2411yescharacteristic
424C2×D4—212no—
425C2×D4—212no—
426C2×D4—46no—
427C2×D4C2412yes—
428C2×D4C2416yes—
429C2×D4C2413yes—
430C2×D4C2416yes—
431C2×D4C2416yes—
432C2×D4C2411yescharacteristic
433C2×D4C2413yes—
434C2×D4C2413yes—
435C2×D4C2411yescharacteristic
436C2×D4C2412yes—
437C2×D4C2416yes—
438C2×D4C2416yes—
439C2×D4C2413yes—
440C2×D4C2416yes—
441C2×D4C2413yes—
442C2×D4C2413yes—
443C22×C4—212no—
444C22×C4—212no—
445C22×C4—412no—
446C22×C4C2413yes—
447C22×C4C2413yes—
448C22×C4C2413yes—
449C22×C4C2416yes—
450C22×C4C2416yes—
451C22×C4C2416yes—
452C22×C4C2413yes—
453C22×C4C2411yescharacteristic
454C22×C4C2413yes—
455C22×C4C2413yes—
456C22×C4C2413yes—
457C22×C4C2411yescharacteristic
458C22×C4C2413yes—
459C22×C4C2412yes—
460C22×C4C2413yes—
461C22×C4C2412yes—
462C22×C4C2416yes—
463C22×C4C2416yes—
464C22×C4C2416yes—
465C22×C4C2416yes—
466C22×C4C2413yes—
467C22×C4C2416yes—
468C22×C4C2416yes—
469C22×C4C24112yes—
470C22×C4C2413yes—
471C4⋊C4C2413yes—
472C4⋊C4C2413yes—
473C4⋊C4C2416yes—
474C4⋊C4C2411yescharacteristic
475C4⋊C4C2416yes—
476C4⋊C4C2413yes—
477C4⋊C4C2411yescharacteristic
478C4⋊C4C2411yescharacteristic
479C4⋊C4C2416yes—
480C4⋊C4C24112yes—
481C4⋊C4C2416yes—
482C4⋊C4C2416yes—
483C4⋊C4C2413yes—
484C4⋊C4C24112yes—
485C4⋊C4C2416yes—
486C4⋊C4C2416yes—
487C4⋊C4C2416yes—
488C4⋊C4C2411yescharacteristic
489C4⋊C4C2412yes—
490C4⋊C4C2416yes—
491C4⋊C4C2416yes—
492C4⋊C4C2413yes—
493C4⋊C4C2416yes—
494C4⋊C4C24112yes—
495C4⋊C4C24112yes—
496C4⋊C4C24112yes—
497C4⋊C4C24112yes—
498C4⋊C4C2413yes—
499C4⋊C4C2413yes—
500C4⋊C4C2413yes—
501C4⋊C4C2412yes—
502C4⋊C4C2416yes—
503C4⋊C4C2416yes—
504C4⋊C4C2416yes—
505C4⋊C4C2416yes—
506C4⋊C4C2416yes—
507C4⋊C4C2416yes—
508C4⋊C4C2412yes—
509C22⋊C4C2411yescharacteristic
510C22⋊C4C2416yes—
511C22⋊C4C2412yes—
512C22⋊C4C2411yescharacteristic
513C22⋊C4C2416yes—
514C22⋊C4C2416yes—
515C22⋊C4C2416yes—
516C22⋊C4C2413yes—
517C22⋊C4C2413yes—
518C22⋊C4C2413yes—
519C22⋊C4C2416yes—
520C22⋊C4C2416yes—
521C22⋊C4C2413yes—
522C22⋊C4C2416yes—
523C22⋊C4C24112yes—
524C22⋊C4C2416yes—
525C22⋊C4C24112yes—
526C22⋊C4C24112yes—
527C22⋊C4C2413yes—
528C22⋊C4C2413yes—
529C22⋊C4C2416yes—
530C22⋊C4C2412yes—
531C22⋊C4C2416yes—
532C22⋊C4C2412yes—
533C22⋊C4C2416yes—
534C22⋊C4C2416yes—
535C22⋊C4C2416yes—
536C22⋊C4C2416yes—
537C22⋊C4C2416yes—
538C22⋊C4C2416yes—
539C22⋊C4C2412yes—
540C42C2416yes—
541C42C2416yes—
542C42C2416yes—
543C42C2412yes—
544C42C2411yescharacteristic
545C42C2413yes—
546C42C2416yes—
547C42C24112yes—
548C42C2416yes—
549C42C2416yes—
550C42C24112yes—
551C42C2413yes—
552C42C2416yes—
553C42C2416yes—
554C42C2413yes—
555C23—26no—
556C23—26no—
557C23—26no—
558C23—43no—
559C23—43no—
560C23—43no—
561C23C2511yescharacteristic
562C23C2513yes—
563C23C2513yes—
564C23C2512yes—
565C23C2513yes—
566C23C2511yescharacteristic
567Q8—26no—
568Q8—212no—
569Q8—26no—
570Q8—26no—
571Q8—46no—
572Q8—46no—
573Q8C2×#4114yes—
574D4—212no—
575D4—212no—
576D4—212no—
577D4—22no—
578D4—26no—
579D4—24no—
580D4—26no—
581D4—26no—
582D4—22no—
583D4—43no—
584D4—43no—
585D4—46no—
586D4—46no—
587D4—42no—
588D4—46no—
589D4C2×#41112yes—
590C2×C4—26no—
591C2×C4—26no—
592C2×C4—212no—
593C2×C4—212no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—26no—
597C2×C4—26no—
598C2×C4—26no—
599C2×C4—26no—
600C2×C4—26no—
601C2×C4—26no—
602C2×C4—212no—
603C2×C4—46no—
604C2×C4—412no—
605C2×C4—46no—
606C2×C4—42no—
607C2×C4—46no—
608C2×C4—43no—
609C2×C4—42no—
610C2×C4—46no—
611C2×C4—43no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4C2×#41112yes—
615C2×C4C2512yes—
616C2×C4C2511yescharacteristic
617C2×C4C2511yescharacteristic
618C2×C4C2516yes—
619C2×C4C2512yes—
620C2×C4C2513yes—
621C2×C4C2516yes—
622C2×C4C2516yes—
623C2×C4C2512yes—
624C2×C4C2513yes—
625C2×C4C2513yes—
626C2×C4C2513yes—
627C2×C4C2511yescharacteristic
628C2×C4C2516yes—
629C2×C4C2511yescharacteristic
630C2×C4C2513yes—
631C2×C4C2511yescharacteristic
632C22—21no—
633C22—23no—
634C22—23no—
635C22—21no—
636C22—21no—
637C22—22no—
638C22—23no—
639C22—23no—
640C22—23no—
641C22—22no—
642C22—23no—
643C22—21no—
644C22—23no—
645C22—22no—
646C22—23no—
647C22—21no—
648C22—412no—
649C22—86no—
650C22C22×#4116yes—
651C22#58512yes—
652C22C2611yescharacteristic
653C4—21no—
654C4—21no—
655C4—23no—
656C4—23no—
657C4—26no—
658C4—26no—
659C4—26no—
660C4—21no—
661C4—23no—
662C4—22no—
663C4—21no—
664C4—22no—
665C4—26no—
666C4—23no—
667C4—22no—
668C4C22×#4112yes—
669C4C22×#4116yes—
670C2—22no—
671C2—26no—
672C2—42no—
673C2—43no—
674C2—43no—
675C2—41no—
676C2C23×#4111yescharacteristic
677C2C2×#58511yescharacteristic
678C22−1+611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #3524C2semidirect
2. #3523C2semidirect
3. #3521C2semidirect
4. #3516C2semidirect
5. #3515C2semidirect
6. #3513C2semidirect
7. #3512C2semidirect
8. #3507C2semidirect
9. #3504C2semidirect
10. #3495C2semidirect
11. #3495C2semidirect
12. #3493C2semidirect
13. #3492C2semidirect
14. #3489C2semidirect
15. #3489C2semidirect
16. #3482C2semidirect
17. #3475C2semidirect
18. #3475C2semidirect
19. C2×#552C2semidirect
20. D4×#41C2semidirect
21. C4×2−1+4C2semidirect
22. #3428C2semidirect
23. C2×#520C2semidirect
27. #559C22semidirect
28. #557C22semidirect
29. #557C22semidirect
30. #557C22semidirect
31. #556C22semidirect
32. #556C22semidirect
33. #556C22semidirect
34. #556C22semidirect
35. #556C22semidirect
36. #555C22semidirect
37. #555C22semidirect
38. #554C22semidirect
39. #554C22semidirect
40. #554C22semidirect
41. #554C22semidirect
42. #554C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #553C22semidirect
48. #553C22semidirect
49. #553C22semidirect
52. #552C22semidirect
53. #552C22semidirect
54. #552C22semidirect
55. #552C22semidirect
56. #552C22semidirect
57. #552C22semidirect
58. #552C22semidirect
59. #552C22semidirect
60. #552C22semidirect
61. #552C22semidirect
62. #552C22semidirect
63. #552C22semidirect
64. #552C22semidirect
65. #551C22semidirect
66. #551C22semidirect
67. #551C22semidirect
68. #551C22semidirect
71. D4×Q8C22semidirect
72. D4×Q8C22semidirect
75. #548C22semidirect
76. #548C22semidirect
78. #547C22semidirect
79. #547C22semidirect
80. #547C22semidirect
81. #547C22semidirect
85. #546C22semidirect
86. #546C22semidirect
88. #544C22semidirect
89. #544C22semidirect
90. #542C22semidirect
91. #542C22semidirect
92. #541C22semidirect
93. #541C22semidirect
94. #541C22semidirect
95. #540C22semidirect
96. #539C22semidirect
97. #539C22semidirect
98. #538C22semidirect
99. #537C22semidirect
100. #537C22semidirect
101. #536C22semidirect
102. #536C22semidirect
103. #533C22semidirect
104. #533C22semidirect
105. #533C22semidirect
108. #529C22semidirect
109. #529C22semidirect
110. #529C22semidirect
111. #529C22semidirect
112. #529C22semidirect
113. #529C22semidirect
114. #529C22semidirect
115. #529C22semidirect
116. C2×#126C22semidirect
117. C2×#125C22semidirect
118. C2×#125C22semidirect
121. #525C22semidirect
122. #525C22semidirect
123. #525C22semidirect
125. C2×C22⋊Q8C22semidirect
126. C2×C22⋊Q8C22semidirect
130. #520C22semidirect
131. #520C22semidirect
132. #520C22semidirect
133. #520C22semidirect
134. #520C22semidirect
135. #520C22semidirect
136. #520C22semidirect
137. #520C22semidirect
138. #519C22semidirect
139. #519C22semidirect
140. #519C22semidirect
141. #518C22semidirect
143. C4×#41C22semidirect
144. C4×#41C22semidirect
145. C4×#41C22semidirect
146. C4×#41C22semidirect
147. C4×#41C22semidirect
148. C2×C4×Q8C22semidirect
149. C2×C4×Q8C22semidirect
150. C2×C4×Q8C22semidirect
152. C2×C4×D4C22semidirect
153. C2×#117C22semidirect
154. C2×#117C22semidirect
155. C2×#117C22semidirect
156. C2×#117C22semidirect
157. C22×C4⋊C4C22semidirect
412. #41#41semidirect

Maximal subgroups

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

subgroupindex
#35242
#35232
#35212
#35162
#35152
#35132
#35122
#35072
#35042
#34952
#34932
#34922
#34892
#34822
#34752
C2×#5522
D4×#412
C4×2−1+42
#34282
C2×#5202