Finite Group Databasebeta

← #63008

Subgroups — #63008

Order 256.

3636 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3524C212yesmaximal, complemented
2#3521C216yesmaximal, complemented
3#3519C216yesmaximal, complemented
4#3517C212yesmaximal, complemented
5#3516C212yesmaximal, complemented
6#3513C216yesmaximal, complemented
7#3512C213yesmaximal, complemented
8#3506C213yesmaximal, complemented
9#3504C211yesmaximal, characteristic, complemented
10#3494C213yesmaximal, complemented
11#3494C213yesmaximal, complemented
12#3493C213yesmaximal, complemented
13#3492C213yesmaximal, complemented
14#3488C211yesmaximal, characteristic, complemented
15#3488C211yesmaximal, characteristic, complemented
16#3481C216yesmaximal, complemented
17#3480C212yesmaximal, complemented
18#3475C213yesmaximal, complemented
19C2×#553C213yesmaximal, complemented
20D4×#41C211yesmaximal, characteristic, complemented
21C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
22#3428C211yesmaximal, characteristic, complemented
23C2×#520C211yesmaximal, characteristic, complemented
24C2×H(5,𝔽2)C2211yescharacteristic
25C22×#41C2211yescharacteristic
26C22×#41C2211yescharacteristic
27#559C2216yescomplemented
28#559C2216yescomplemented
29#557C2212yescomplemented
30#557C2212yescomplemented
31#556C2213yescomplemented
32#556C2216yescomplemented
33#556C2216yescomplemented
34#555C2213yescomplemented
35#555C2216yescomplemented
36#555C2216yescomplemented
37#554C2213yescomplemented
38#554C2216yescomplemented
39#554C2216yescomplemented
40#554C2216yescomplemented
41#553C2213yescomplemented
42#553C2216yescomplemented
43#553C2216yescomplemented
44#553C2216yescomplemented
45#553C2216yescomplemented
46#553C2216yescomplemented
47#553C2216yescomplemented
48#553C2216yescomplemented
49#553C2213yescomplemented
50#553C2216yescomplemented
51#553C2216yescomplemented
52#553C22112yescomplemented
53#553C2216yescomplemented
54#553C22112yescomplemented
55#552C2211yescharacteristic, complemented
56#552C2213yescomplemented
57#552C2216yescomplemented
58#552C2216yescomplemented
59#552C2216yescomplemented
60#552C2216yescomplemented
61#551C2216yescomplemented
62#551C2216yescomplemented
63#551C22112yescomplemented
64#551C22112yescomplemented
65#550C2211yescharacteristic, complemented
66#550C2212yescomplemented
67#550C2212yescomplemented
68#550C2216yescomplemented
69D4×Q8C2211yescharacteristic, complemented
70#548C2211yescharacteristic, complemented
71#548C2211yescharacteristic, complemented
72#548C2212yescomplemented
73#548C2212yescomplemented
74#547C2213yescomplemented
75#547C2213yescomplemented
76#547C2216yescomplemented
77#547C2216yescomplemented
78#546C2213yescomplemented
79#546C2213yescomplemented
80#546C2216yescomplemented
81#546C2216yescomplemented
82#546C22112yescomplemented
83#546C2216yescomplemented
84#546C22112yescomplemented
85D42C2213yescomplemented
86D42C2216yescomplemented
87D42C2216yescomplemented
88#544C2213yescomplemented
89#544C2213yescomplemented
90#542C2216yescomplemented
91#542C2216yescomplemented
92#541C2216yescomplemented
93#540C2216yescomplemented
94#540C2216yescomplemented
95#540C2216yescomplemented
96#539C22112yescomplemented
97#538C22112yescomplemented
98#538C22112yescomplemented
99#537C2213yescomplemented
100#537C2213yescomplemented
101#535C2213yescomplemented
102#535C2213yescomplemented
103#533C2213yescomplemented
104#532C2213yescomplemented
105#532C2216yescomplemented
106#532C2216yescomplemented
107#529C2216yescomplemented
108#529C2216yescomplemented
109#529C2216yescomplemented
110#529C2216yescomplemented
111#529C2216yescomplemented
112#529C22112yescomplemented
113#529C2216yescomplemented
114#529C2216yescomplemented
115C2×#126C2216yescomplemented
116C2×#125C2213yescomplemented
117#525C2213yescomplemented
118#525C2213yescomplemented
119#525C2213yescomplemented
120#525C2213yescomplemented
121#525C22112yescomplemented
122#525C22112yescomplemented
123C2×#123C2216yescomplemented
124C2×#121C2213yescomplemented
125C2×#121C2213yescomplemented
126C2×#121C2216yescomplemented
127#520C2211yescharacteristic
128#520C2211yescharacteristic
129#520C2211yescharacteristic
130#520C2213yescomplemented
131#520C2213yescomplemented
132#520C2216yescomplemented
133#520C2212yescomplemented
134#520C2213yescomplemented
135#520C2213yescomplemented
136#520C2213yescomplemented
137#520C2212yescomplemented
138#519C2212yescomplemented
139#518C2216yescomplemented
140#518C2213yescomplemented
141#518C2216yescomplemented
142C4×#41C2211yescharacteristic
143C4×#41C2212yescomplemented
144C4×#41C2216yescomplemented
145C4×#41C2213yescomplemented
146C4×#41C2212yescomplemented
147C4×#41C2216yescomplemented
148C2×C4×Q8C2212yescomplemented
149C2×C4×D4C2216yescomplemented
150C2×C4×D4C2213yescomplemented
151C2×C4×D4C2216yescomplemented
152C2×C4×D4C2213yescomplemented
153C2×C4×D4C2216yescomplemented
154C2×#117C2213yescomplemented
155C2×#117C2213yescomplemented
156C2×#117C2213yescomplemented
157C22×C4⋊C4C2213yescomplemented
158H(5,𝔽2)—28no—
159C2×#41—28no—
160C2×#41—28no—
161C2×#41C2313yes—
162C2×#41C2311yescharacteristic
163C2×#41C2313yes—
164C2×#41C2312yes—
165C2×#41C2313yes—
166C2×#41C2313yes—
167C2×#41C2313yes—
168C2×#41C2311yescharacteristic
169C2×#41C2316yes—
170C2×#41C23112yes—
171C2×#41C2311yescharacteristic
172C22×Q8C2311yescharacteristic
173C22×Q8C2311yescharacteristic
174C22×D4C2313yes—
175C22×D4C2313yes—
176C22×D4C2316yes—
177C22×D4C2313yes—
178C22×D4C2313yes—
179C22×D4C2316yes—
180C22×D4C2316yes—
181C23×C4C2313yes—
182C23×C4C2313yes—
183C23×C4C2316yes—
184C23×C4C2316yes—
185C4⋊Q8C2313yes—
186C4⋊Q8C2316yes—
187C4⋊Q8C2316yes—
188C4⋊Q8C2313yes—
189C4⋊Q8C2313yes—
190#127C2316yes—
191#127C2316yes—
192#127C2313yes—
193#126C2316yes—
194#126C23112yes—
195#126C23112yes—
196#126C23112yes—
197#126C2312yes—
198#126C2316yes—
199#126C2316yes—
200#126C2316yes—
201#126C2316yes—
202#126C23112yes—
203#126C23112yes—
204#125C2313yes—
205#125C2316yes—
206#125C2316yes—
207#125C2316yes—
208#125C2312yes—
209#125C2316yes—
210#125C23112yes—
211#125C2316yes—
212#125C2316yes—
213#125C2316yes—
214#125C2311yescharacteristic
215#124C2313yes—
216#124C2313yes—
217#124C2316yes—
218#124C2316yes—
219#124C2316yes—
220#124C2316yes—
221#124C23112yes—
222#124C2316yes—
223#124C23112yes—
224#123C2316yes—
225#123C23112yes—
226#123C23112yes—
227#123C23112yes—
228#123C2316yes—
229#123C2316yes—
230#123C2316yes—
231#123C23112yes—
232#123C23112yes—
233#123C2316yes—
234#123C2316yes—
235#123C2312yes—
236#123C2316yes—
237#123C23112yes—
238#123C2316yes—
239#123C2316yes—
240#123C23112yes—
241C22⋊Q8C2311yescharacteristic
242C22⋊Q8C2311yescharacteristic
243C22⋊Q8C2316yes—
244C22⋊Q8C2316yes—
245C22⋊Q8C2313yes—
246C22⋊Q8C2313yes—
247C22⋊Q8C2313yes—
248C22⋊Q8C2313yes—
249C22⋊Q8C23112yes—
250C22⋊Q8C23112yes—
251C22⋊Q8C2313yes—
252C22⋊Q8C2313yes—
253C22⋊Q8C2316yes—
254C22⋊Q8C2316yes—
255C22⋊Q8C23112yes—
256C22⋊Q8C2316yes—
257C22⋊Q8C2316yes—
258C22⋊Q8C2316yes—
259#121C2313yes—
260#121C2313yes—
261#121C2316yes—
262#121C23112yes—
263#121C2316yes—
264#121C2316yes—
265#121C2316yes—
266#121C2316yes—
267#121C23112yes—
268#121C23112yes—
269#121C2316yes—
270#121C2316yes—
271#121C2316yes—
272#121C2313yes—
273#121C2313yes—
274#121C2313yes—
275#121C2313yes—
276#121C23112yes—
277#121C23112yes—
278#121C2313yes—
279#121C2313yes—
280#121C23112yes—
281#121C2316yes—
282#121C2316yes—
283#121C2316yes—
284#121C2316yes—
285#121C2316yes—
286#121C23112yes—
287#120C2316yes—
288#120C2316yes—
289#120C23112yes—
290#120C23112yes—
291#120C2316yes—
292#120C2316yes—
293C4×Q8C2312yes—
294C4×Q8C2312yes—
295C4×Q8C2316yes—
296C4×Q8C2316yes—
297C4×Q8C2311yescharacteristic
298C4×Q8C2311yescharacteristic
299C4×Q8C2311yescharacteristic
300C4×Q8C2312yes—
301C4×Q8C2316yes—
302C4×Q8C2316yes—
303C4×Q8C2313yes—
304C4×Q8C2316yes—
305C4×Q8C2316yes—
306C4×Q8C2316yes—
307C4×D4C2311yescharacteristic
308C4×D4C2313yes—
309C4×D4C2316yes—
310C4×D4C2316yes—
311C4×D4C2316yes—
312C4×D4C2313yes—
313C4×D4C2316yes—
314C4×D4C2313yes—
315C4×D4C23112yes—
316C4×D4C2316yes—
317C4×D4C2316yes—
318C4×D4C2316yes—
319C4×D4C2316yes—
320C4×D4C23112yes—
321C4×D4C2316yes—
322C4×D4C23112yes—
323C4×D4C2316yes—
324C4×D4C2313yes—
325C4×D4C2313yes—
326C4×D4C23112yes—
327C4×D4C23112yes—
328C4×D4C2313yes—
329C4×D4C2313yes—
330C4×D4C2313yes—
331C4×D4C23112yes—
332C4×D4C2313yes—
333C4×D4C2313yes—
334C4×D4C2316yes—
335C4×D4C2316yes—
336C4×D4C2313yes—
337C4×D4C2316yes—
338C4×D4C23112yes—
339C4×D4C2316yes—
340C4×D4C23112yes—
341C4×D4C2316yes—
342C4×D4C2316yes—
343C4×D4C2316yes—
344C4×D4C2316yes—
345C4×D4C2316yes—
346C4×D4C2316yes—
347C4×D4C2316yes—
348C4×D4C2316yes—
349C4×D4C23112yes—
350#117C2311yescharacteristic
351#117C2313yes—
352#117C2313yes—
353#117C2316yes—
354#117C2316yes—
355#117C2316yes—
356#117C2316yes—
357#117C2313yes—
358#117C2313yes—
359#117C2316yes—
360#117C2316yes—
361#117C2316yes—
362#117C2313yes—
363#117C2313yes—
364#117C2313yes—
365#117C2312yes—
366#117C2316yes—
367#117C2316yes—
368#117C2316yes—
369#117C2316yes—
370#117C23112yes—
371#117C23112yes—
372C2×C4⋊C4C2313yes—
373C2×C4⋊C4C2313yes—
374C2×C4⋊C4C2316yes—
375C2×C4⋊C4C2313yes—
376C2×C4⋊C4C2316yes—
377C2×C4⋊C4C2316yes—
378C2×C4⋊C4C2316yes—
379C2×C4⋊C4C2311yescharacteristic
380C2×C4⋊C4C2313yes—
381C2×C4⋊C4C2313yes—
382C2×C4⋊C4C2313yes—
383C2×C4⋊C4C2316yes—
384C2×C4⋊C4C2316yes—
385C2×C4⋊C4C2313yes—
386C2×C4⋊C4C2316yes—
387C2×C22⋊C4C2316yes—
388C2×C22⋊C4C2316yes—
389C2×C22⋊C4C2316yes—
390C2×C22⋊C4C2313yes—
391C2×C22⋊C4C2316yes—
392C2×C22⋊C4C23112yes—
393C2×C22⋊C4C2316yes—
394C2×C22⋊C4C2313yes—
395C2×C22⋊C4C2316yes—
396C2×C42C2316yes—
397C2×C42C2316yes—
398C2×C42C2316yes—
399C2×C42C2313yes—
400C2×C42C2316yes—
401C24C2413yes—
402C24C2413yes—
403C24C2416yes—
404#41—24no—
405#41—24no—
406#41—28no—
407#41—212no—
408#41—212no—
409#41—212no—
410#41—212no—
411#41—212no—
412#41—412no—
413#41—812no—
414#41#4118yescomplemented
415C2×Q8—24no—
416C2×Q8—24no—
417C2×Q8C2411yescharacteristic
418C2×Q8C2413yes—
419C2×Q8C2413yes—
420C2×Q8C2416yes—
421C2×Q8C2416yes—
422C2×Q8C2411yescharacteristic
423C2×D4—212no—
424C2×D4—212no—
425C2×D4—224no—
426C2×D4—212no—
427C2×D4—46no—
428C2×D4—412no—
429C2×D4—86no—
430C2×D4C2416yes—
431C2×D4C2416yes—
432C2×D4C2413yes—
433C2×D4C2416yes—
434C2×D4C2416yes—
435C2×D4C2413yes—
436C2×D4C2411yescharacteristic
437C2×D4C2416yes—
438C2×D4C2413yes—
439C2×D4C2413yes—
440C2×D4C2416yes—
441C2×D4C2413yes—
442C2×D4C24112yes—
443C2×D4C2413yes—
444C2×D4C2416yes—
445C2×D4C2416yes—
446C2×D4C2416yes—
447C2×D4C24112yes—
448C2×D4C2413yes—
449C22×C4—212no—
450C22×C4—212no—
451C22×C4—86no—
452C22×C4—86no—
453C22×C4C2412yes—
454C22×C4C2413yes—
455C22×C4C2413yes—
456C22×C4C2413yes—
457C22×C4C2416yes—
458C22×C4C2413yes—
459C22×C4C2411yescharacteristic
460C22×C4C2413yes—
461C22×C4C2413yes—
462C22×C4C2413yes—
463C22×C4C2411yescharacteristic
464C22×C4C2413yes—
465C22×C4C2413yes—
466C22×C4C2416yes—
467C22×C4C2416yes—
468C22×C4C2413yes—
469C22×C4C2416yes—
470C22×C4C2416yes—
471C22×C4C2416yes—
472C22×C4C2416yes—
473C22×C4C2416yes—
474C22×C4C2416yes—
475C22×C4C24112yes—
476C22×C4C24112yes—
477C22×C4C2413yes—
478C4⋊C4C2413yes—
479C4⋊C4C2413yes—
480C4⋊C4C2416yes—
481C4⋊C4C2411yescharacteristic
482C4⋊C4C2416yes—
483C4⋊C4C2413yes—
484C4⋊C4C2411yescharacteristic
485C4⋊C4C2411yescharacteristic
486C4⋊C4C2416yes—
487C4⋊C4C24112yes—
488C4⋊C4C2413yes—
489C4⋊C4C2416yes—
490C4⋊C4C2416yes—
491C4⋊C4C2416yes—
492C4⋊C4C2411yescharacteristic
493C4⋊C4C2412yes—
494C4⋊C4C2416yes—
495C4⋊C4C2416yes—
496C4⋊C4C2413yes—
497C4⋊C4C2416yes—
498C4⋊C4C24112yes—
499C4⋊C4C2413yes—
500C4⋊C4C24112yes—
501C4⋊C4C2413yes—
502C4⋊C4C2413yes—
503C4⋊C4C2412yes—
504C4⋊C4C2416yes—
505C4⋊C4C2416yes—
506C4⋊C4C2416yes—
507C4⋊C4C2412yes—
508C4⋊C4C2412yes—
509C4⋊C4C2416yes—
510C4⋊C4C2416yes—
511C4⋊C4C2412yes—
512C4⋊C4C2412yes—
513C22⋊C4C2416yes—
514C22⋊C4C2416yes—
515C22⋊C4C2412yes—
516C22⋊C4C2411yescharacteristic
517C22⋊C4C2411yescharacteristic
518C22⋊C4C2416yes—
519C22⋊C4C2416yes—
520C22⋊C4C2416yes—
521C22⋊C4C2416yes—
522C22⋊C4C24112yes—
523C22⋊C4C2416yes—
524C22⋊C4C2416yes—
525C22⋊C4C2416yes—
526C22⋊C4C2416yes—
527C22⋊C4C24112yes—
528C22⋊C4C2416yes—
529C22⋊C4C2413yes—
530C22⋊C4C24112yes—
531C22⋊C4C2413yes—
532C22⋊C4C2413yes—
533C22⋊C4C2413yes—
534C22⋊C4C2413yes—
535C22⋊C4C24112yes—
536C22⋊C4C2413yes—
537C22⋊C4C2416yes—
538C22⋊C4C2416yes—
539C22⋊C4C2416yes—
540C22⋊C4C2412yes—
541C22⋊C4C2416yes—
542C22⋊C4C2416yes—
543C22⋊C4C2412yes—
544C22⋊C4C2416yes—
545C42C2412yes—
546C42C2416yes—
547C42C2416yes—
548C42C2412yes—
549C42C2411yescharacteristic
550C42C2413yes—
551C42C2416yes—
552C42C24112yes—
553C42C2416yes—
554C42C2416yes—
555C42C2413yes—
556C42C2413yes—
557C42C2416yes—
558C42C2416yes—
559C23—26no—
560C23—26no—
561C23—26no—
562C23—212no—
563C23—43no—
564C23—46no—
565C23—43no—
566C23—46no—
567C23—43no—
568C23C2511yescharacteristic
569C23C2516yes—
570C23C2513yes—
571C23C2513yes—
572C23C2513yes—
573C23C2511yescharacteristic
574Q8—26no—
575Q8—26no—
576Q8—22no—
577Q8—46no—
578Q8—46no—
579Q8C2×#4114yes—
580D4—212no—
581D4—212no—
582D4—212no—
583D4—22no—
584D4—212no—
585D4—26no—
586D4—26no—
587D4—212no—
588D4—26no—
589D4—26no—
590D4—43no—
591D4—412no—
592D4—43no—
593D4—46no—
594D4—412no—
595D4—46no—
596D4—46no—
597D4—46no—
598D4C2×#41112yes—
599C2×C4—26no—
600C2×C4—26no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—26no—
605C2×C4—26no—
606C2×C4—26no—
607C2×C4—26no—
608C2×C4—26no—
609C2×C4—26no—
610C2×C4—212no—
611C2×C4—46no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—43no—
615C2×C4—46no—
616C2×C4—412no—
617C2×C4—412no—
618C2×C4—43no—
619C2×C4—46no—
620C2×C4—46no—
621C2×C4—46no—
622C2×C4—46no—
623C2×C4C2×#41112yes—
624C2×C4C2511yescharacteristic
625C2×C4C2512yes—
626C2×C4C2512yes—
627C2×C4C2516yes—
628C2×C4C2511yescharacteristic
629C2×C4C2513yes—
630C2×C4C2513yes—
631C2×C4C2513yes—
632C2×C4C2512yes—
633C2×C4C2516yes—
634C2×C4C2512yes—
635C2×C4C2511yescharacteristic
636C2×C4C2513yes—
637C2×C4C2516yes—
638C2×C4C2511yescharacteristic
639C2×C4C2513yes—
640C2×C4C2511yescharacteristic
641C22—21no—
642C22—23no—
643C22—21no—
644C22—23no—
645C22—21no—
646C22—23no—
647C22—23no—
648C22—26no—
649C22—23no—
650C22—26no—
651C22—21no—
652C22—23no—
653C22—23no—
654C22—26no—
655C22—23no—
656C22—21no—
657C22—412no—
658C22—86no—
659C22—812no—
660C22C22×#4116yes—
661C22#58512yes—
662C22C2611yescharacteristic
663C4—21no—
664C4—21no—
665C4—22no—
666C4—23no—
667C4—23no—
668C4—22no—
669C4—22no—
670C4—21no—
671C4—26no—
672C4—23no—
673C4—21no—
674C4—26no—
675C4—26no—
676C4—23no—
677C4—22no—
678C4C22×#4112yes—
679C4C22×#4116yes—
680C2—22no—
681C2—26no—
682C2—43no—
683C2—43no—
684C2—46no—
685C2—41no—
686C2C23×#4111yescharacteristic
687C2C2×#58511yescharacteristic
688C2H(7,𝔽2)11yescharacteristic
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. #3521C2semidirect
3. #3519C2semidirect
4. #3517C2semidirect
5. #3516C2semidirect
6. #3513C2semidirect
7. #3512C2semidirect
8. #3506C2semidirect
9. #3504C2semidirect
10. #3494C2semidirect
11. #3494C2semidirect
12. #3493C2semidirect
13. #3492C2semidirect
14. #3488C2semidirect
15. #3488C2semidirect
16. #3481C2semidirect
17. #3480C2semidirect
18. #3475C2semidirect
19. C2×#553C2semidirect
20. D4×#41C2semidirect
21. C4×H(5,𝔽2)C2semidirect
22. #3428C2semidirect
23. C2×#520C2semidirect
27. #559C22semidirect
28. #559C22semidirect
29. #557C22semidirect
30. #557C22semidirect
31. #556C22semidirect
32. #556C22semidirect
33. #556C22semidirect
34. #555C22semidirect
35. #555C22semidirect
36. #555C22semidirect
37. #554C22semidirect
38. #554C22semidirect
39. #554C22semidirect
40. #554C22semidirect
41. #553C22semidirect
42. #553C22semidirect
43. #553C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #553C22semidirect
48. #553C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #553C22semidirect
52. #553C22semidirect
53. #553C22semidirect
54. #553C22semidirect
55. #552C22semidirect
56. #552C22semidirect
57. #552C22semidirect
58. #552C22semidirect
59. #552C22semidirect
60. #552C22semidirect
61. #551C22semidirect
62. #551C22semidirect
63. #551C22semidirect
64. #551C22semidirect
65. #550C22semidirect
66. #550C22semidirect
67. #550C22semidirect
68. #550C22semidirect
69. D4×Q8C22semidirect
70. #548C22semidirect
71. #548C22semidirect
72. #548C22semidirect
73. #548C22semidirect
74. #547C22semidirect
75. #547C22semidirect
76. #547C22semidirect
77. #547C22semidirect
78. #546C22semidirect
79. #546C22semidirect
80. #546C22semidirect
81. #546C22semidirect
82. #546C22semidirect
83. #546C22semidirect
84. #546C22semidirect
85. D42C22semidirect
86. D42C22semidirect
87. D42C22semidirect
88. #544C22semidirect
89. #544C22semidirect
90. #542C22semidirect
91. #542C22semidirect
92. #541C22semidirect
93. #540C22semidirect
94. #540C22semidirect
95. #540C22semidirect
96. #539C22semidirect
97. #538C22semidirect
98. #538C22semidirect
99. #537C22semidirect
100. #537C22semidirect
101. #535C22semidirect
102. #535C22semidirect
103. #533C22semidirect
104. #532C22semidirect
105. #532C22semidirect
106. #532C22semidirect
107. #529C22semidirect
108. #529C22semidirect
109. #529C22semidirect
110. #529C22semidirect
111. #529C22semidirect
112. #529C22semidirect
113. #529C22semidirect
114. #529C22semidirect
115. C2×#126C22semidirect
116. C2×#125C22semidirect
117. #525C22semidirect
118. #525C22semidirect
119. #525C22semidirect
120. #525C22semidirect
121. #525C22semidirect
122. #525C22semidirect
123. C2×#123C22semidirect
124. C2×#121C22semidirect
125. C2×#121C22semidirect
126. C2×#121C22semidirect
130. #520C22semidirect
131. #520C22semidirect
132. #520C22semidirect
133. #520C22semidirect
134. #520C22semidirect
135. #520C22semidirect
136. #520C22semidirect
137. #520C22semidirect
138. #519C22semidirect
139. #518C22semidirect
140. #518C22semidirect
141. #518C22semidirect
143. C4×#41C22semidirect
144. C4×#41C22semidirect
145. C4×#41C22semidirect
146. C4×#41C22semidirect
147. C4×#41C22semidirect
148. C2×C4×Q8C22semidirect
149. C2×C4×D4C22semidirect
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×C4⋊C4C22semidirect
414. #41#41semidirect

Maximal subgroups

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

subgroupindex
#35242
#35212
#35192
#35172
#35162
#35132
#35122
#35062
#35042
#34942
#34932
#34922
#34882
#34812
#34802
#34752
C2×#5532
D4×#412
C4×H(5,𝔽2)2
#34282
C2×#5202