Finite Group Databasebeta

← #7632339

Subgroups — #7632339

Order 512.

8452 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3487C211yesmaximal, characteristic
2C2×C4×2−1+4C211yesmaximal, characteristic, complemented
3#36578C214yesmaximal, complemented
4#36483C214yesmaximal, complemented
5#36433C214yesmaximal, complemented
6#36433C214yesmaximal, complemented
7#36076C214yesmaximal, complemented
8#36005C214yesmaximal, complemented
9#35801C214yesmaximal, complemented
10#35801C214yesmaximal, complemented
11#35531C216yesmaximal, complemented
12#35516C216yesmaximal, complemented
13#35254C216yesmaximal, complemented
14#34742C216yesmaximal, complemented
15#34257C211yesmaximal, characteristic, complemented
16#34249C211yesmaximal, characteristic, complemented
17#34182C211yesmaximal, characteristic, complemented
18#34174C211yesmaximal, characteristic, complemented
19C2×#2341C211yesmaximal, characteristic, complemented
20C22×2−1+4C2211yescharacteristic
21C23×#41C2211yescharacteristic
22#3487—216no—
23C2×#550C2214yes—
24C2×#550C2214yes—
25C2×#548C2214yes—
26C2×#548C2214yes—
27C2×#535C2216yes—
28C2×#525C2216yes—
29C4×2−1+4—216no—
30C2×#520C2216yes—
31C2×#520C2214yescomplemented
32C2×#519C2211yescharacteristic
33C2×#519C2211yescharacteristic
34C2×#519C2211yescharacteristic
35C2×#519C2214yescomplemented
36C2×C4×#41C2216yes—
37C2×C4×#41C2214yescomplemented
38C22×C4×Q8C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40C22×C4×Q8C2214yescomplemented
41#2854C22112yescomplemented
42#2854C22112yescomplemented
43#2624C22112yescomplemented
44#2624C22112yescomplemented
45#2504C22112yescomplemented
46#2501C22112yescomplemented
47#2500C22112yescomplemented
48#2500C22112yescomplemented
49#2487C22112yescomplemented
50#2486C22112yescomplemented
51#2485C22112yescomplemented
52#2485C22112yescomplemented
53#2448C22112yescomplemented
54#2448C22112yescomplemented
55#2448C22112yescomplemented
56#2448C22112yescomplemented
57#2445C22112yescomplemented
58#2445C22112yescomplemented
59#2445C22112yescomplemented
60#2445C22112yescomplemented
61#2423C2216yescomplemented
62#2423C22112yescomplemented
63#2423C2216yescomplemented
64#2422C2216yescomplemented
65#2422C22112yescomplemented
66#2422C2216yescomplemented
67#2421C2216yescomplemented
68#2421C2216yescomplemented
69#2421C22112yescomplemented
70#2420C2216yescomplemented
71#2420C22112yescomplemented
72#2420C2216yescomplemented
73#2419C2214yes—
74#2419C22112yes—
75#2418C22112yes—
76#2418C22112yes—
77#2418C22124yes—
78#2395C22112yescomplemented
79#2395C22112yescomplemented
80#2351C2214yescomplemented
81#2351C2214yescomplemented
82#2351C2214yescomplemented
83#2351C2214yescomplemented
84Q8×C4⋊C4C2214yescomplemented
85Q8×C4⋊C4C2214yescomplemented
86Q8×C4⋊C4C2214yescomplemented
87Q8×C4⋊C4C2214yescomplemented
88#2341C2214yes—
89#2341C2214yes—
90#2341C2214yes—
91#2341C2214yes—
92#2341C2214yes—
93#2341C2214yes—
94#2341C2214yes—
95#2341C2214yes—
96#2341C2214yescomplemented
97#2341C2214yescomplemented
98Q8×C22⋊C4C2214yescomplemented
99Q8×C22⋊C4C2214yescomplemented
100#2317C2216yes—
101#2316C2216yes—
102#2311C2216yes—
103#2309C2216yes—
104C4×#123C22112yescomplemented
105C4×#123C22112yescomplemented
106#2297C2216yes—
107#2296C2216yes—
108C2×#390C2213yes—
109C2×#390C2213yes—
110#2285C2216yes—
111#2280C2216yes—
112C2×#380C2213yes—
113C2×C4×C22⋊C4C2213yes—
114C2×2−1+4—28no—
115C2×2−1+4—28no—
116C2×2−1+4D4116yes—
117C22×#41—28no—
118C22×#41—28no—
119C22×#41—28no—
120C22×#41C2314yes—
121C22×#41C2314yes—
122C22×#41C2316yes—
123C22×#41C2314yes—
124C23×Q8C2314yes—
125C23×Q8C2311yescharacteristic
126C23×D4C2313yes—
127C24×C4C2313yes—
128#550—232no—
129#550—232no—
130#548—232no—
131#548—232no—
132#535—248no—
133C2×#127C23112yes—
134C2×#124C23112yes—
135#525—248no—
136C2×#123C2314yes—
137C2×#123C23112yes—
138C2×#123C23112yes—
139C2×#123C23124yes—
140C2×C22⋊Q8C2316yes—
141C2×C22⋊Q8C2316yes—
142C2×#121C23112yes—
143C2×#121C23112yes—
144C2×#121C2316yes—
145C2×#121C2316yes—
146C2×#120C23112yes—
147#520—248no—
148#520—232no—
149#519—28no—
150#519—28no—
151#519—232no—
152#519—28no—
153C4×#41—248no—
154C4×#41—232no—
155C2×C4×Q8—28no—
156C2×C4×Q8—232no—
157C2×C4×Q8—28no—
158C2×C4×Q8C2314yes—
159C2×C4×Q8C2314yes—
160C2×C4×Q8C2314yes—
161C2×C4×Q8C2314yes—
162C2×C4×Q8C2314yes—
163C2×C4×Q8C2314yes—
164C2×C4×Q8C2314yes—
165C2×C4×Q8C2314yes—
166C2×C4×Q8C2314yes—
167C2×C4×Q8C2314yes—
168C2×C4×Q8C2316yes—
169C2×C4×Q8C23112yes—
170C2×C4×Q8C2316yes—
171C2×C4×D4C23112yes—
172C2×C4×D4C23112yes—
173C2×C4×D4C2314yes—
174C2×C4×D4C2316yes—
175C2×C4×D4C23112yes—
176C2×C4×D4C2316yes—
177C2×C4×D4C23112yes—
178C2×#117C2316yes—
179C2×#117C2316yes—
180C2×#117C2316yes—
181C2×#117C23112yes—
182C2×#117C23112yes—
183C22×C4⋊C4C2313yes—
184C22×C4⋊C4C2313yes—
185C22×C4⋊C4C23112yes—
186C22×C22⋊C4C2313yes—
187C22×C22⋊C4C2313yes—
188C22×C22⋊C4C2316yes—
189C22×C42C23112yes—
190C22×C42C2313yes—
191C22×C42C2313yes—
192#400C2314yes—
193#400C23112yes—
194#399C23112yes—
195#399C23124yes—
196#399C23112yes—
197#398C2314yes—
198#398C23112yes—
199#397C23112yes—
200#397C23124yes—
201#397C2314yes—
202#397C2314yes—
203#397C23112yes—
204#397C23112yes—
205#397C23112yes—
206#394C23112yes—
207#394C23112yes—
208#394C23124yes—
209#394C23124yes—
210#394C23112yes—
211#394C23112yes—
212#391C23112yes—
213#391C2316yes—
214#391C2316yes—
215#390C23112yes—
216#390C23112yes—
217#390C23112yes—
218#390C23112yes—
219#390C23112yes—
220#390C23112yes—
221#390C23112yes—
222#390C23112yes—
223#390C23112yes—
224#390C2316yes—
225#390C2316yes—
226#389C23112yes—
227#389C23112yes—
228#389C23112yes—
229#389C23112yes—
230#389C23112yes—
231#389C23112yes—
232#389C2316yes—
233#389C2316yes—
234#389C2316yes—
235#389C2316yes—
236#388C23112yes—
237#388C23112yes—
238#388C23124yes—
239#388C23124yes—
240#388C23112yes—
241#388C23112yes—
242#387C2314yes—
243#387C23112yes—
244#387C23112yes—
245#387C2314yes—
246#386C23112yes—
247#386C23112yes—
248#386C23124yes—
249#386C2314yes—
250#386C23112yes—
251#385C23112yes—
252#385C2314yes—
253#385C23112yes—
254#385C2314yes—
255#384C23112yes—
256#384C2316yes—
257#384C2316yes—
258#382C23112yes—
259#382C2316yes—
260#382C2316yes—
261#381C2314yes—
262#381C23112yes—
263#381C2314yes—
264#380C23112yes—
265#380C23112yes—
266#380C23112yes—
267#380C2316yes—
268#380C23112yes—
269#380C2316yes—
270#380C2316yes—
271#380C23112yes—
272#380C2316yes—
273#380C2314yes—
274#379C23112yes—
275C4×C4⋊C4C23112yes—
276C4×C4⋊C4C23112yes—
277C4×C4⋊C4C23112yes—
278C4×C4⋊C4C23112yes—
279C4×C22⋊C4C23112yes—
280C4×C22⋊C4C23112yes—
281C4×C22⋊C4C2316yes—
282C4×C22⋊C4C2316yes—
283C4×C22⋊C4C23112yes—
284C4×C22⋊C4C23112yes—
285C4×C22⋊C4C2316yes—
286C4×C22⋊C4C2316yes—
287C2×#95C2311yescharacteristic
288C2×#95C2313yes—
289C25C2413yes—
2902−1+4—2128no—
291C2×#41—216no—
292C2×#41—216no—
293C2×#41—216no—
294C2×#41—216no—
295C2×#41—216no—
296C2×#41—216no—
297C2×#41—216no—
298C2×#41—216no—
299C2×#41—224no—
300C2×#41—224no—
301C2×#41—464no—
302C2×#41C2×D4148yes—
303C2×#41C2×D4132yes—
304C22×Q8—216no—
305C22×Q8—216no—
306C22×Q8C2×D4132yes—
307C22×Q8C2×D418yes—
308C22×Q8#4118yes—
309C22×Q8#4118yes—
310C22×Q8C2416yes—
311C22×Q8C2414yes—
312C22×D4—212no—
313C22×D4—212no—
314C22×D4—212no—
315C22×D4C24112yes—
316C22×D4C2414yes—
317C22×D4C2416yes—
318C22×D4C24112yes—
319C22×D4C24112yes—
320C23×C4—212no—
321C23×C4—212no—
322C23×C4—212no—
323C23×C4C2416yes—
324C23×C4C2416yes—
325C23×C4C2411yescharacteristic
326C23×C4C2411yescharacteristic
327C23×C4C2411yescharacteristic
328C23×C4C2414yes—
329C23×C4C24112yes—
330C23×C4C2413yes—
331C23×C4C2413yes—
332C23×C4C24112yes—
333C23×C4C2413yes—
334#127—248no—
335#124—248no—
336#123—216no—
337#123—424no—
338#123—424no—
339#123—824no—
340C22⋊Q8—224no—
341C22⋊Q8—224no—
342#121—224no—
343#121—224no—
344#121—248no—
345#121—248no—
346#120—248no—
347C4×Q8—224no—
348C4×Q8—216no—
349C4×Q8—248no—
350C4×Q8—216no—
351C4×Q8—216no—
352C4×Q8—224no—
353C4×Q8—216no—
354C4×Q8—216no—
355C4×Q8—216no—
356C4×Q8—216no—
357C4×Q8—216no—
358C4×Q8—216no—
359C4×Q8—216no—
360C4×D4—216no—
361C4×D4—224no—
362C4×D4—248no—
363C4×D4—224no—
364C4×D4—248no—
365C4×D4—248no—
366C4×D4—248no—
367#117—248no—
368#117—248no—
369#117—224no—
370#117—224no—
371#117—224no—
372C2×C4⋊C4—248no—
373C2×C4⋊C4—212no—
374C2×C4⋊C4—212no—
375C2×C4⋊C4C24112yes—
376C2×C4⋊C4C2416yes—
377C2×C4⋊C4C24112yes—
378C2×C4⋊C4C24112yes—
379C2×C4⋊C4C2416yes—
380C2×C4⋊C4C2414yes—
381C2×C4⋊C4C2416yes—
382C2×C4⋊C4C2416yes—
383C2×C4⋊C4C2416yes—
384C2×C4⋊C4C2416yes—
385C2×C4⋊C4C2414yes—
386C2×C4⋊C4C2414yes—
387C2×C4⋊C4C2414yes—
388C2×C4⋊C4C2414yes—
389C2×C4⋊C4C24112yes—
390C2×C4⋊C4C24112yes—
391C2×C4⋊C4C24112yes—
392C2×C4⋊C4C24112yes—
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C2414yes—
395C2×C22⋊C4—46no—
396C2×C22⋊C4—46no—
397C2×C22⋊C4—86no—
398C2×C22⋊C4C2416yes—
399C2×C22⋊C4C2416yes—
400C2×C22⋊C4C2414yes—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C24112yes—
403C2×C22⋊C4C2414yes—
404C2×C22⋊C4C2414yes—
405C2×C22⋊C4C2414yes—
406C2×C22⋊C4C2414yes—
407C2×C22⋊C4C24112yes—
408C2×C22⋊C4C24112yes—
409C2×C22⋊C4C2414yes—
410C2×C22⋊C4C24124yes—
411C2×C22⋊C4C2416yes—
412C2×C22⋊C4C2416yes—
413C2×C22⋊C4C24112yes—
414C2×C22⋊C4C24112yes—
415C2×C22⋊C4C24112yes—
416C2×C22⋊C4C24112yes—
417C2×C22⋊C4C24112yes—
418C2×C22⋊C4C2414yes—
419C2×C22⋊C4C24112yes—
420C2×C42—248no—
421C2×C42—212no—
422C2×C42—212no—
423C2×C42C24112yes—
424C2×C42C2416yes—
425C2×C42C24112yes—
426C2×C42C24112yes—
427C2×C42C24112yes—
428C2×C42C2416yes—
429C2×C42C2414yes—
430C2×C42C2416yes—
431C2×C42C2416yes—
432#95C2411yescharacteristic
433#95C2411yescharacteristic
434#95C2411yescharacteristic
435#95C2411yescharacteristic
436#95C2416yes—
437#95C2416yes—
438#95C2414yes—
439#95C2414yes—
440#95C2414yes—
441#95C2414yes—
442#95C2414yes—
443#95C2414yes—
444#95C24112yes—
445#95C24112yes—
446#95C2414yes—
447#95C2414yes—
448#95C2414yes—
449#95C2414yes—
450#95C24112yes—
451#95C24112yes—
452#95C24112yes—
453#95C24112yes—
454C24—26no—
455C24—26no—
456C24—26no—
457C24—43no—
458C24—43no—
459C24—43no—
460C24—43no—
461C24C2516yes—
462C24C2514yes—
463C24C2511yescharacteristic
464#41—2128no—
465#41—2192no—
466#41—464no—
467#41—464no—
468C2×Q8—2128no—
469C2×Q8—212no—
470C2×Q8—212no—
471C2×Q8#123164yescomplemented
472C2×Q8C22×D4124yes—
473C2×Q8C22×D4116yes—
474C2×Q8C2×#41116yes—
475C2×Q8C2×#41116yes—
476C2×D4—28no—
477C2×D4—28no—
478C2×D4—224no—
479C2×D4—224no—
480C2×D4—224no—
481C2×D4—212no—
482C2×D4—212no—
483C2×D4—224no—
484C2×D4—224no—
485C2×D4—412no—
486C2×D4—412no—
487C2×D4—412no—
488C2×D4—412no—
489C2×D4—448no—
490C2×D4C22×D4116yes—
491C2×D4C22×D4124yes—
492C22×C4—224no—
493C22×C4—224no—
494C22×C4—28no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—224no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—212no—
504C22×C4—212no—
505C22×C4—212no—
506C22×C4—212no—
507C22×C4—212no—
508C22×C4—212no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—28no—
512C22×C4—41no—
513C22×C4—44no—
514C22×C4—41no—
515C22×C4—43no—
516C22×C4—43no—
517C22×C4—43no—
518C22×C4—43no—
519C22×C4—412no—
520C22×C4—412no—
521C22×C4—448no—
522C22×C4C22×D4148yes—
523C22×C4C22×D4112yes—
524C22×C4C2×#41112yes—
525C22×C4C2×#41112yes—
526C22×C4C2511yescharacteristic
527C22×C4C2511yescharacteristic
528C22×C4C2511yescharacteristic
529C22×C4C2514yes—
530C22×C4C2514yes—
531C22×C4C2514yes—
532C22×C4C2516yes—
533C22×C4C2511yescharacteristic
534C22×C4C2514yes—
535C22×C4C2516yes—
536C22×C4C2514yes—
537C22×C4C2514yes—
538C22×C4C2514yes—
539C22×C4C2511yescharacteristic
540C22×C4C2511yescharacteristic
541C22×C4C2516yes—
542C4⋊C4—224no—
543C4⋊C4—212no—
544C4⋊C4—224no—
545C4⋊C4—28no—
546C4⋊C4—212no—
547C4⋊C4—212no—
548C4⋊C4—212no—
549C4⋊C4—28no—
550C4⋊C4—28no—
551C4⋊C4—224no—
552C4⋊C4—212no—
553C4⋊C4—212no—
554C4⋊C4—28no—
555C4⋊C4—28no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—412no—
559C4⋊C4—412no—
560C4⋊C4—412no—
561C4⋊C4—412no—
562C22⋊C4—28no—
563C22⋊C4—224no—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—224no—
570C22⋊C4—224no—
571C22⋊C4—212no—
572C22⋊C4—212no—
573C22⋊C4—28no—
574C22⋊C4—46no—
575C22⋊C4—46no—
576C22⋊C4—424no—
577C22⋊C4—44no—
578C22⋊C4—412no—
579C22⋊C4—412no—
580C22⋊C4—412no—
581C22⋊C4—412no—
582C22⋊C4—412no—
583C22⋊C4—412no—
584C42—28no—
585C42—212no—
586C42—224no—
587C42—224no—
588C42—212no—
589C42—224no—
590C42—212no—
591C42—212no—
592C42—224no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—26no—
604C23—26no—
605C23—26no—
606C23—26no—
607C23—26no—
608C23—26no—
609C23—26no—
610C23—412no—
611C23—412no—
612C23—412no—
613C23—86no—
614C23—86no—
615C23—86no—
616C23—86no—
617C23C23×D418yes—
618C23C23×D412yes—
619C23C22×#4112yes—
620C23C22×#4112yes—
621C23C2611yescharacteristic
622Q8—248no—
623Q8C2×#123164yes—
624D4—232no—
625D4—248no—
626D4—448no—
627D4—824no—
628D4—824no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—296no—
636C2×C4—21no—
637C2×C4—24no—
638C2×C4—26no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—26no—
654C2×C4—26no—
655C2×C4—24no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—26no—
664C2×C4—26no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—24no—
670C2×C4—21no—
671C2×C4—24no—
672C2×C4—44no—
673C2×C4—416no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—424no—
677C2×C4—424no—
678C2×C4—86no—
679C2×C4—824no—
680C2×C4—86no—
681C2×C4C2×#123148yes—
682C2×C4C23×D418yes—
683C2×C4C23×D4112yes—
684C2×C4C22×#41112yes—
685C2×C4C22×#41112yes—
686C2×C4#58512yes—
687C2×C4#58512yes—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—28no—
695C22—28no—
696C22—28no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—46no—
702C22—46no—
703C22—46no—
704C22—46no—
705C22—46no—
706C22—46no—
707C22—46no—
708C22—824no—
709C22C22×#12314yes—
710C22C24×D411yescharacteristic
711C22C23×#4111yescharacteristic
712C22C23×#4111yescharacteristic
713C22C2×#58511yescharacteristic
714C22C2×#58511yescharacteristic
715C22H(7,𝔽2)11yescharacteristic
716C222−1+611yescharacteristic
717C4—22no—
718C4—22no—
719C4—28no—
720C4—41no—
721C4—44no—
722C4—44no—
723C4—46no—
724C4—44no—
725C4—44no—
726C4—41no—
727C4—46no—
728C4—44no—
729C4—44no—
730C4—41no—
731C4—41no—
732C4C22×#123124yes—
733C2—24no—
734C2—48no—
735C2—86no—
736C2C23×#12311yescharacteristic
737C2#6279311yescharacteristic
738C2#6285111yescharacteristic
739C2#6300211yescharacteristic
740C2#6300311yescharacteristic
741C2#6300511yescharacteristic
742C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3487C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×2−1+4C2semidirect
3. #36578C2semidirect
4. #36483C2semidirect
5. #36433C2semidirect
6. #36433C2semidirect
7. #36076C2semidirect
8. #36005C2semidirect
9. #35801C2semidirect
10. #35801C2semidirect
11. #35531C2semidirect
12. #35516C2semidirect
13. #35254C2semidirect
14. #34742C2semidirect
15. #34257C2semidirect
16. #34249C2semidirect
17. #34182C2semidirect
18. #34174C2semidirect
19. C2×#2341C2semidirect
31. C2×#520C22semidirect
35. C2×#519C22semidirect
37. C2×C4×#41C22semidirect
40. C22×C4×Q8C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2624C22semidirect
44. #2624C22semidirect
45. #2504C22semidirect
46. #2501C22semidirect
47. #2500C22semidirect
48. #2500C22semidirect
49. #2487C22semidirect
50. #2486C22semidirect
51. #2485C22semidirect
52. #2485C22semidirect
53. #2448C22semidirect
54. #2448C22semidirect
55. #2448C22semidirect
56. #2448C22semidirect
57. #2445C22semidirect
58. #2445C22semidirect
59. #2445C22semidirect
60. #2445C22semidirect
61. #2423C22semidirect
62. #2423C22semidirect
63. #2423C22semidirect
64. #2422C22semidirect
65. #2422C22semidirect
66. #2422C22semidirect
67. #2421C22semidirect
68. #2421C22semidirect
69. #2421C22semidirect
70. #2420C22semidirect
71. #2420C22semidirect
72. #2420C22semidirect
78. #2395C22semidirect
79. #2395C22semidirect
80. #2351C22semidirect
81. #2351C22semidirect
82. #2351C22semidirect
83. #2351C22semidirect
84. Q8×C4⋊C4C22semidirect
85. Q8×C4⋊C4C22semidirect
86. Q8×C4⋊C4C22semidirect
87. Q8×C4⋊C4C22semidirect
96. #2341C22semidirect
97. #2341C22semidirect
98. Q8×C22⋊C4C22semidirect
99. Q8×C22⋊C4C22semidirect
104. C4×#123C22semidirect
105. C4×#123C22semidirect
471. C2×Q8#123semidirect

Maximal subgroups

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

subgroupindex
C2×#34872
C2×C4×2−1+42
#365782
#364832
#364332
#360762
#360052
#358012
#355312
#355162
#352542
#347422
#342572
#342492
#341822
#341742
C2×#23412