Finite Group Databasebeta

← #7632352

Subgroups — #7632352

Order 512.

8040 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×#3502C211yesmaximal, characteristic, complemented
3#36583C214yesmaximal, complemented
4#36467C214yesmaximal, complemented
5#36467C214yesmaximal, complemented
6#36457C214yesmaximal, complemented
7#36049C214yesmaximal, complemented
8#36049C214yesmaximal, complemented
9#35948C214yesmaximal, complemented
10#35854C214yesmaximal, complemented
11#35556C216yesmaximal, complemented
12#35542C216yesmaximal, complemented
13#35264C216yesmaximal, complemented
14#34813C216yesmaximal, complemented
15#34257C211yesmaximal, characteristic, complemented
16#34257C211yesmaximal, characteristic, complemented
17#34174C211yesmaximal, characteristic, complemented
18C2×#2341C211yesmaximal, characteristic, complemented
19C4×#519C211yesmaximal, characteristic, complemented
20C22×2−1+4C2211yescharacteristic
21C23×#41C2211yescharacteristic
22#3502—216no—
23#3487—216no—
24C2×Q82C2214yescomplemented
25C2×#557C2214yescomplemented
26C2×#557C2214yescomplemented
27C2×#557C2214yescomplemented
28C2×#550C2214yes—
29C2×#550C2214yes—
30C2×#548C2214yes—
31C2×#548C2214yes—
32C2×#544C2216yes—
33C2×#535C2216yes—
34C2×#533C2216yes—
35C2×#525C2216yes—
36C2×#519C2211yescharacteristic
37C2×#519C2211yescharacteristic
38C2×#519C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2861C22112yescomplemented
42#2858C22112yescomplemented
43#2641C22112yescomplemented
44#2640C22112yescomplemented
45#2592C22112yescomplemented
46#2592C22112yescomplemented
47#2563C22112yescomplemented
48#2562C22112yescomplemented
49#2562C22112yescomplemented
50#2548C22112yescomplemented
51#2548C22112yescomplemented
52#2547C22112yescomplemented
53#2492C2216yescomplemented
54#2492C22112yescomplemented
55#2492C2216yescomplemented
56#2491C2216yescomplemented
57#2491C22112yescomplemented
58#2491C22112yescomplemented
59#2491C22112yescomplemented
60#2491C22112yescomplemented
61#2491C22112yescomplemented
62#2491C2216yescomplemented
63#2490C22112yescomplemented
64#2490C22112yescomplemented
65#2490C22112yescomplemented
66#2490C22112yescomplemented
67#2490C2216yescomplemented
68#2490C22112yescomplemented
69#2490C2216yescomplemented
70#2489C2216yescomplemented
71#2489C22112yescomplemented
72#2489C2216yescomplemented
73#2488C22112yes—
74#2488C2214yes—
75#2472C22112yes—
76#2472C22124yes—
77#2472C22112yes—
78#2398C22112yescomplemented
79#2398C22112yescomplemented
80#2341C2214yes—
81#2341C2214yes—
82#2341C2214yes—
83#2341C2214yes—
84#2341C2214yes—
85#2341C2214yes—
86#2341C2214yes—
87#2341C2214yes—
88#2341C2214yescomplemented
89#2341C2214yescomplemented
90#2341C2214yescomplemented
91#2341C2214yescomplemented
92Q8×C22⋊C4C2214yescomplemented
93Q8×C22⋊C4C2214yescomplemented
94Q8×C22⋊C4C2214yescomplemented
95Q8×C22⋊C4C2214yescomplemented
96#2311C2216yes—
97#2311C2216yes—
98#2309C2216yes—
99C4×#124C22112yescomplemented
100C4×#124C22112yescomplemented
101#2297C2216yes—
102#2297C2216yes—
103C2×#390C2213yes—
104C2×#390C2213yes—
105#2280C2216yes—
106C2×#380C2213yes—
107#2276C2214yescomplemented
108#2276C2214yescomplemented
109#2274C2216yes—
110C42×Q8C2214yescomplemented
111C42×Q8C2214yescomplemented
112C4×#117C2216yes—
113C2×C4×C22⋊C4C2213yes—
114C2×2−1+4—28no—
115C2×2−1+4—28no—
116C2×2−1+4—28no—
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—
128Q82—232no—
129#557—232no—
130#557—232no—
131#557—232no—
132#550—232no—
133#550—232no—
134#548—232no—
135#548—232no—
136#544—248no—
137#535—248no—
138#533—248no—
139C2×C4⋊Q8C23112yes—
140C2×C4⋊Q8C2316yes—
141C2×C4⋊Q8C2316yes—
142C2×C4⋊Q8C23112yes—
143C2×#127C23112yes—
144C2×#125C23112yes—
145C2×#125C2316yes—
146C2×#125C2316yes—
147C2×#125C23112yes—
148C2×#124C23112yes—
149C2×#124C23112yes—
150C2×#124C23112yes—
151C2×#124C23124yes—
152#525—248no—
153C2×#123C2314yes—
154C2×C22⋊Q8C2316yes—
155C2×C22⋊Q8C2316yes—
156C2×C22⋊Q8C2314yes—
157C2×C22⋊Q8C23112yes—
158C2×#121C2316yes—
159C2×#121C2316yes—
160C2×#121C23112yes—
161C2×#121C23112yes—
162C2×#120C23112yes—
163#519—28no—
164#519—28no—
165#519D4116yes—
166C2×C4×Q8—28no—
167C2×C4×Q8—28no—
168C2×C4×Q8C23112yes—
169C2×C4×Q8C23112yes—
170C2×C4×Q8C2314yes—
171C2×C4×Q8C2314yes—
172C2×C4×Q8C2314yes—
173C2×C4×Q8C2314yes—
174C2×C4×Q8C2314yes—
175C2×C4×Q8C2314yes—
176C2×C4×Q8C2314yes—
177C2×C4×Q8C2314yes—
178C2×C4×Q8C2314yes—
179C2×C4×Q8C2314yes—
180C2×C4×D4C23112yes—
181C2×C4×D4C23112yes—
182C2×#117C2316yes—
183C2×#117C2316yes—
184C2×#117C2316yes—
185C22×C4⋊C4C2313yes—
186C22×C4⋊C4C2313yes—
187C22×C22⋊C4C2313yes—
188C22×C22⋊C4C2313yes—
189C22×C22⋊C4C2316yes—
190C22×C42C2313yes—
191C22×C42C2313yes—
192#400C23112yes—
193#400C23112yes—
194#400C2314yes—
195#400C2314yes—
196#397C23112yes—
197#397C23124yes—
198#397C23112yes—
199#397C2314yes—
200#397C23112yes—
201#394C23124yes—
202#394C23124yes—
203#394C23112yes—
204#394C23112yes—
205#394C23112yes—
206#394C23112yes—
207#393C23112yes—
208#393C23124yes—
209#393C23112yes—
210#393C23112yes—
211#393C2314yes—
212#391C23112yes—
213#391C23112yes—
214#391C2316yes—
215#391C2316yes—
216#391C2316yes—
217#391C2316yes—
218#391C23112yes—
219#391C2314yes—
220#390C23124yes—
221#390C23112yes—
222#390C23112yes—
223#390C23112yes—
224#390C23112yes—
225#390C23112yes—
226#390C23112yes—
227#390C23112yes—
228#390C23112yes—
229#390C23112yes—
230#390C23112yes—
231#390C2316yes—
232#390C2316yes—
233#390C2316yes—
234#390C2316yes—
235#390C23112yes—
236#390C23112yes—
237#388C23112yes—
238#388C23112yes—
239#388C23124yes—
240#388C23124yes—
241#388C23112yes—
242#388C23112yes—
243#388C23112yes—
244#388C23112yes—
245#388C2314yes—
246#388C2314yes—
247#386C23112yes—
248#386C23112yes—
249#386C2314yes—
250#386C2314yes—
251#382C23112yes—
252#382C2314yes—
253#381C2314yes—
254#380C23112yes—
255#380C2316yes—
256#380C2316yes—
257#380C23112yes—
258#380C23112yes—
259#380C23112yes—
260#380C23112yes—
261#380C2316yes—
262#380C23112yes—
263#380C2316yes—
264#379C23112yes—
265C4×C4⋊C4C23112yes—
266C4×C4⋊C4C23112yes—
267C4×C4⋊C4C2316yes—
268C4×C4⋊C4C23112yes—
269C4×C4⋊C4C2316yes—
270C4×C4⋊C4C2316yes—
271C4×C4⋊C4C2316yes—
272C4×C4⋊C4C23112yes—
273C4×C22⋊C4C23112yes—
274C4×C22⋊C4C23112yes—
275C4×C22⋊C4C23112yes—
276C4×C22⋊C4C23112yes—
277C4×C22⋊C4C2316yes—
278C4×C22⋊C4C2316yes—
279C4×C22⋊C4C23112yes—
280C4×C22⋊C4C23112yes—
281C4×C22⋊C4C2316yes—
282C4×C22⋊C4C2316yes—
283C4×C22⋊C4C2314yes—
284C4×C22⋊C4C23112yes—
285#376C23112yes—
286C2×#95C2311yescharacteristic
287C2×#95C2313yes—
288C43C23112yes—
289C25C2413yes—
2902−1+4—464no—
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—216no—
300C2×#41—224no—
301C2×#41—224no—
302C2×#41—224no—
303C2×#41—464no—
304C22×Q8—216no—
305C22×Q8—216no—
306C22×Q8—216no—
307C22×Q8C2×D418yes—
308C22×Q8#4118yes—
309C22×Q8#4118yes—
310C22×Q8C2416yes—
311C22×Q8C2414yes—
312C22×Q8C24112yes—
313C22×Q8C2414yes—
314C22×D4—212no—
315C22×D4—212no—
316C22×D4—212no—
317C22×D4C2414yes—
318C22×D4C24112yes—
319C22×D4C2416yes—
320C22×D4C24112yes—
321C22×D4C24112yes—
322C23×C4—212no—
323C23×C4—212no—
324C23×C4—212no—
325C23×C4C24112yes—
326C23×C4C2416yes—
327C23×C4C2416yes—
328C23×C4C2411yescharacteristic
329C23×C4C2411yescharacteristic
330C23×C4C2411yescharacteristic
331C23×C4C2413yes—
332C23×C4C2413yes—
333C23×C4C2413yes—
334C4⋊Q8—224no—
335C4⋊Q8—224no—
336C4⋊Q8—248no—
337C4⋊Q8—248no—
338#127—248no—
339#125—224no—
340#125—224no—
341#125—248no—
342#125—248no—
343#124—248no—
344#124—424no—
345#124—424no—
346#124—824no—
347#123—216no—
348C22⋊Q8—224no—
349C22⋊Q8—224no—
350C22⋊Q8—216no—
351C22⋊Q8—248no—
352#121—224no—
353#121—224no—
354#121—248no—
355#121—248no—
356#120—248no—
357C4×Q8—216no—
358C4×Q8—216no—
359C4×Q8—216no—
360C4×Q8—216no—
361C4×Q8—216no—
362C4×Q8—216no—
363C4×Q8—216no—
364C4×Q8—216no—
365C4×Q8—248no—
366C4×Q8—248no—
367C4×Q8C2×D4132yes—
368C4×Q8C2×D4132yes—
369C4×D4—248no—
370C4×D4—248no—
371#117—224no—
372#117—224no—
373#117C2×D4148yes—
374C2×C4⋊C4—212no—
375C2×C4⋊C4—212no—
376C2×C4⋊C4C24112yes—
377C2×C4⋊C4C24112yes—
378C2×C4⋊C4C2416yes—
379C2×C4⋊C4C2416yes—
380C2×C4⋊C4C2416yes—
381C2×C4⋊C4C2416yes—
382C2×C4⋊C4C2414yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2414yes—
386C2×C4⋊C4C2414yes—
387C2×C4⋊C4C24112yes—
388C2×C4⋊C4C24112yes—
389C2×C4⋊C4C24112yes—
390C2×C4⋊C4C2416yes—
391C2×C4⋊C4C2416yes—
392C2×C22⋊C4—46no—
393C2×C22⋊C4—46no—
394C2×C22⋊C4—86no—
395C2×C22⋊C4C2416yes—
396C2×C22⋊C4C2416yes—
397C2×C22⋊C4C2414yes—
398C2×C22⋊C4C2414yes—
399C2×C22⋊C4C2414yes—
400C2×C22⋊C4C2414yes—
401C2×C22⋊C4C24112yes—
402C2×C22⋊C4C24112yes—
403C2×C22⋊C4C2414yes—
404C2×C22⋊C4C2414yes—
405C2×C22⋊C4C24124yes—
406C2×C22⋊C4C2416yes—
407C2×C22⋊C4C2416yes—
408C2×C22⋊C4C24112yes—
409C2×C22⋊C4C24112yes—
410C2×C22⋊C4C24112yes—
411C2×C22⋊C4C24112yes—
412C2×C22⋊C4C24112yes—
413C2×C22⋊C4C24112yes—
414C2×C22⋊C4C24112yes—
415C2×C22⋊C4C2414yes—
416C2×C22⋊C4C2414yes—
417C2×C22⋊C4C24112yes—
418C2×C22⋊C4C2414yes—
419C2×C42—212no—
420C2×C42—212no—
421C2×C42C24112yes—
422C2×C42C24112yes—
423C2×C42C2416yes—
424C2×C42C2416yes—
425C2×C42C2416yes—
426C2×C42C2416yes—
427C2×C42C2414yes—
428C2×C42C24112yes—
429C2×C42C24112yes—
430C2×C42C2414yes—
431C2×C42C24112yes—
432#95C2411yescharacteristic
433#95C2411yescharacteristic
434#95C2411yescharacteristic
435#95C2411yescharacteristic
436#95C2416yes—
437#95C2416yes—
438#95C2414yes—
439#95C2414yes—
440#95C24112yes—
441#95C24112yes—
442#95C2414yes—
443#95C2414yes—
444#95C2414yes—
445#95C2414yes—
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—464no—
465#41—464no—
466#41—464no—
467#41—496no—
468C2×Q8—28no—
469C2×Q8—212no—
470C2×Q8—224no—
471C2×Q8—212no—
472C2×Q8—212no—
473C2×Q8—28no—
474C2×Q8—44no—
475C2×Q8—412no—
476C2×Q8—412no—
477C2×Q8—464no—
478C2×Q8#124164yescomplemented
479C2×Q8C22×D4116yes—
480C2×Q8C2×#41116yes—
481C2×Q8C2×#41116yes—
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—224no—
486C2×D4—212no—
487C2×D4—224no—
488C2×D4—224no—
489C2×D4—224no—
490C2×D4—224no—
491C2×D4—212no—
492C2×D4—212no—
493C2×D4—412no—
494C2×D4—412no—
495C2×D4—412no—
496C2×D4—412no—
497C2×D4—448no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—224no—
506C22×C4—212no—
507C22×C4—212no—
508C22×C4—212no—
509C22×C4—212no—
510C22×C4—212no—
511C22×C4—212no—
512C22×C4—224no—
513C22×C4—224no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—43no—
519C22×C4—43no—
520C22×C4—43no—
521C22×C4—43no—
522C22×C4—448no—
523C22×C4C22×D4112yes—
524C22×C4C2×#41112yes—
525C22×C4C2×#41112yes—
526C22×C4C2514yes—
527C22×C4C2511yescharacteristic
528C22×C4C2511yescharacteristic
529C22×C4C2511yescharacteristic
530C22×C4C2514yes—
531C22×C4C2514yes—
532C22×C4C2516yes—
533C22×C4C2511yescharacteristic
534C22×C4C2514yes—
535C22×C4C2514yes—
536C22×C4C2516yes—
537C22×C4C2514yes—
538C22×C4C2514yes—
539C22×C4C2511yescharacteristic
540C22×C4C2511yescharacteristic
541C22×C4C2516yes—
542C4⋊C4—224no—
543C4⋊C4—212no—
544C4⋊C4—212no—
545C4⋊C4—28no—
546C4⋊C4—28no—
547C4⋊C4—28no—
548C4⋊C4—28no—
549C4⋊C4—28no—
550C4⋊C4—224no—
551C4⋊C4—224no—
552C4⋊C4—224no—
553C4⋊C4—224no—
554C4⋊C4—212no—
555C4⋊C4—212no—
556C4⋊C4C22×D4124yes—
557C4⋊C4C22×D4124yes—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—224no—
563C22⋊C4—224no—
564C22⋊C4—212no—
565C22⋊C4—212no—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—46no—
569C22⋊C4—46no—
570C22⋊C4—424no—
571C22⋊C4—44no—
572C22⋊C4—412no—
573C22⋊C4—44no—
574C22⋊C4—412no—
575C22⋊C4—412no—
576C22⋊C4—412no—
577C22⋊C4—412no—
578C22⋊C4—412no—
579C22⋊C4—412no—
580C22⋊C4—412no—
581C22⋊C4C22×D4116yes—
582C42—212no—
583C42—212no—
584C42—224no—
585C42—212no—
586C42—212no—
587C42—224no—
588C42—28no—
589C42—44no—
590C42—412no—
591C42—412no—
592C42C22×D4148yes—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—26no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—26no—
602C23—26no—
603C23—24no—
604C23—24no—
605C23—26no—
606C23—26no—
607C23—24no—
608C23—26no—
609C23—24no—
610C23—26no—
611C23—412no—
612C23—412no—
613C23—412no—
614C23—86no—
615C23—86no—
616C23—86no—
617C23—86no—
618C23C23×D412yes—
619C23C22×#4112yes—
620C23C22×#4112yes—
621C23C2611yescharacteristic
622Q8—416no—
623Q8—424no—
624Q8—824no—
625Q8C2×#124164yes—
626D4—416no—
627D4—448no—
628D4—424no—
629D4—824no—
630D4—824no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—24no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—26no—
643C2×C4—24no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—26no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—26no—
659C2×C4—26no—
660C2×C4—24no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—26no—
666C2×C4—26no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—24no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—424no—
676C2×C4—424no—
677C2×C4—448no—
678C2×C4—86no—
679C2×C4—86no—
680C2×C4C2×#124148yes—
681C2×C4C23×D418yes—
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—44no—
695C22—46no—
696C22—44no—
697C22—46no—
698C22—44no—
699C22—46no—
700C22—44no—
701C22—46no—
702C22—44no—
703C22—46no—
704C22—44no—
705C22—46no—
706C22—44no—
707C22—46no—
708C22—824no—
709C22C22×#12414yes—
710C22C24×D411yescharacteristic
711C22C23×#4111yescharacteristic
712C22C23×#4111yescharacteristic
713C22C2×#58511yescharacteristic
714C22C2×#58511yescharacteristic
715C22H(7,𝔽2)11yescharacteristic
716C222−1+611yescharacteristic
717C4—22no—
718C4—28no—
719C4—28no—
720C4—22no—
721C4—41no—
722C4—44no—
723C4—46no—
724C4—44no—
725C4—41no—
726C4—46no—
727C4—44no—
728C4—44no—
729C4—41no—
730C4—41no—
731C4—44no—
732C4C22×#124124yes—
733C2—24no—
734C2—84no—
735C2—86no—
736C2C23×#12411yescharacteristic
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×#3502C2semidirect
3. #36583C2semidirect
4. #36467C2semidirect
5. #36467C2semidirect
6. #36457C2semidirect
7. #36049C2semidirect
8. #36049C2semidirect
9. #35948C2semidirect
10. #35854C2semidirect
11. #35556C2semidirect
12. #35542C2semidirect
13. #35264C2semidirect
14. #34813C2semidirect
15. #34257C2semidirect
16. #34257C2semidirect
17. #34174C2semidirect
18. C2×#2341C2semidirect
19. C4×#519C2semidirect
24. C2×Q82C22semidirect
25. C2×#557C22semidirect
26. C2×#557C22semidirect
27. C2×#557C22semidirect
41. #2861C22semidirect
42. #2858C22semidirect
43. #2641C22semidirect
44. #2640C22semidirect
45. #2592C22semidirect
46. #2592C22semidirect
47. #2563C22semidirect
48. #2562C22semidirect
49. #2562C22semidirect
50. #2548C22semidirect
51. #2548C22semidirect
52. #2547C22semidirect
53. #2492C22semidirect
54. #2492C22semidirect
55. #2492C22semidirect
56. #2491C22semidirect
57. #2491C22semidirect
58. #2491C22semidirect
59. #2491C22semidirect
60. #2491C22semidirect
61. #2491C22semidirect
62. #2491C22semidirect
63. #2490C22semidirect
64. #2490C22semidirect
65. #2490C22semidirect
66. #2490C22semidirect
67. #2490C22semidirect
68. #2490C22semidirect
69. #2490C22semidirect
70. #2489C22semidirect
71. #2489C22semidirect
72. #2489C22semidirect
78. #2398C22semidirect
79. #2398C22semidirect
88. #2341C22semidirect
89. #2341C22semidirect
90. #2341C22semidirect
91. #2341C22semidirect
92. Q8×C22⋊C4C22semidirect
93. Q8×C22⋊C4C22semidirect
94. Q8×C22⋊C4C22semidirect
95. Q8×C22⋊C4C22semidirect
99. C4×#124C22semidirect
100. C4×#124C22semidirect
107. #2276C22semidirect
108. #2276C22semidirect
110. C42×Q8C22semidirect
111. C42×Q8C22semidirect
478. C2×Q8#124semidirect

Maximal subgroups

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

subgroupindex
C2×#34872
C2×#35022
#365832
#364672
#364572
#360492
#359482
#358542
#355562
#355422
#352642
#348132
#342572
#341742
C2×#23412
C4×#5192