Finite Group Databasebeta

← #7629688

Subgroups — #7629688

Order 512.

8396 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×#41C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic
3#36049C212yesmaximal, complemented
4#36042C216yesmaximal, complemented
5#35948C212yesmaximal, complemented
6#35939C216yesmaximal, complemented
7#35910C212yesmaximal, complemented
8#35903C216yesmaximal, complemented
9#35854C212yesmaximal, complemented
10#35847C216yesmaximal, complemented
11#34955C213yesmaximal, complemented
12#34946C213yesmaximal, complemented
13#34813C2112yesmaximal, complemented
14#34637C213yesmaximal, complemented
15C2×#2398C213yesmaximal, complemented
16C22⋊C4×#41C214yesmaximal, complemented
17#33999C211yesmaximal, characteristic, complemented
18C23×#41C2212yes—
19Q8×#41—216no—
20C2×Q82C2211yescharacteristic, complemented
21C2×#557C2211yescharacteristic, complemented
22C2×#557C2212yescomplemented
23C2×#554C2213yescomplemented
24C2×#554C2216yescomplemented
25D4×#41—216no—
26C2×#550C2211yescharacteristic
27C2×D4×Q8C2211yescharacteristic
28C2×D4×Q8C2213yescomplemented
29C2×#548C2212yes—
30C2×#547C2213yes—
31C2×#546C2216yes—
32C2×D42C2213yes—
33C2×#533C2213yescomplemented
34C2×#533C2216yescomplemented
35C2×#532C2213yes—
36C2×#525C2216yes—
37C2×C4×#41C2212yes—
38C2×C4×#41C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2213yescomplemented
41C22×C4×D4C2213yes—
42#2642C2216yescomplemented
43#2641C2216yescomplemented
44#2640C2216yescomplemented
45#2640C2216yescomplemented
46#2639C22112yescomplemented
47#2639C22112yescomplemented
48#2592C2216yescomplemented
49#2592C2216yescomplemented
50#2591C22112yescomplemented
51#2568C2216yescomplemented
52#2563C2216yescomplemented
53#2562C2216yes—
54#2562C2216yescomplemented
55#2561C22112yescomplemented
56#2548C2216yescomplemented
57#2547C2216yescomplemented
58#2504C2216yescomplemented
59#2503C2216yescomplemented
60#2492C22112yescomplemented
61#2492C22112yescomplemented
62#2491C22112yescomplemented
63#2491C22112yescomplemented
64#2490C22112yescomplemented
65#2490C22112yescomplemented
66#2489C22112yescomplemented
67#2489C22112yescomplemented
68#2488C22124yescomplemented
69#2488C22124yescomplemented
70#2472C22124yescomplemented
71#2472C22124yescomplemented
72#2436C2216yescomplemented
73#2435C2216yes—
74#2398C2216yes—
75#2398C2213yes—
76#2398C2211yescharacteristic
77#2398C2216yescomplemented
78#2398C2213yescomplemented
79#2398C2216yescomplemented
80#2398C22112yescomplemented
81#2398C2216yescomplemented
82#2398C2213yescomplemented
83#2398C2216yescomplemented
84#2398C22112yescomplemented
85C2×#400C2216yescomplemented
86C2×#397C2216yescomplemented
87C2×#394C2216yes—
88C2×#393C2216yescomplemented
89#2341C2214yescomplemented
90#2341C2214yescomplemented
91Q8×C22⋊C4C2214yescomplemented
92Q8×C22⋊C4C2214yescomplemented
93#2339C22112yescomplemented
94#2339C22112yescomplemented
95D4×C22⋊C4C22112yescomplemented
96D4×C22⋊C4C22112yescomplemented
97C4×#124C22112yescomplemented
98C4×#124C22112yescomplemented
99#2297C22112yescomplemented
100#2297C22112yescomplemented
101#2280C22112yescomplemented
102#2276C2212yescomplemented
103#2276C2212yescomplemented
104#2275C2216yescomplemented
105#2275C2216yescomplemented
106C4×#117C2213yescomplemented
107C4×#117C2216yescomplemented
108C2×C4×C22⋊C4C22112yescomplemented
109C2×#376C2213yescomplemented
110C22×#41—216no—
111C22×#41—232no—
112C22×#41C2316yes—
113C22×#41C2312yes—
114C22×#41C2316yes—
115C22×#41C2311yescharacteristic
116C23×Q8C2312yes—
117C23×Q8C2313yes—
118C23×D4C2316yes—
119C23×D4C2313yes—
120C24×C4C2316yes—
121Q82—28no—
122#557—28no—
123#557—216no—
124#554—248no—
125#554—224no—
126#550—28no—
127D4×Q8—28no—
128D4×Q8—224no—
129#548—216no—
130#547—224no—
131#546—248no—
132D42—224no—
133#533—248no—
134#533—224no—
135#532—224no—
136C2×C4⋊Q8C2313yes—
137C2×C4⋊Q8C2313yes—
138C2×C4⋊Q8C2313yes—
139C2×C4⋊Q8C2316yes—
140C2×C4⋊Q8C2316yes—
141C2×#127C2313yes—
142C2×#125C2316yes—
143C2×#125C2316yes—
144C2×#125C2316yes—
145C2×#124C2316yes—
146C2×#124C23112yes—
147C2×#124C23112yes—
148#525—248no—
149C2×#123C23112yes—
150C2×C22⋊Q8C2316yes—
151C2×C22⋊Q8C2316yes—
152C2×C22⋊Q8C2316yes—
153C2×C22⋊Q8C2316yes—
154C2×C22⋊Q8C23112yes—
155C2×C22⋊Q8C23112yes—
156C2×#121C2316yes—
157C2×#121C2316yes—
158C2×#121C2316yes—
159C2×#121C2316yes—
160C2×#120C23112yes—
161C4×#41—216no—
162C4×#41—216no—
163C4×#41D4116yes—
164C2×C4×Q8—224no—
165C2×C4×Q8C2316yes—
166C2×C4×Q8C2313yes—
167C2×C4×Q8C2313yes—
168C2×C4×Q8C2312yes—
169C2×C4×Q8C2312yes—
170C2×C4×Q8C2314yes—
171C2×C4×Q8C2311yescharacteristic
172C2×C4×Q8C2313yes—
173C2×C4×Q8C2316yes—
174C2×C4×Q8C2316yes—
175C2×C4×Q8C2311yescharacteristic
176C2×C4×Q8C2311yescharacteristic
177C2×C4×D4—224no—
178C2×C4×D4C2313yes—
179C2×C4×D4C2313yes—
180C2×C4×D4C2316yes—
181C2×C4×D4C2316yes—
182C2×C4×D4C2316yes—
183C2×C4×D4C23112yes—
184C2×C4×D4C2311yescharacteristic
185C2×C4×D4C2313yes—
186C2×C4×D4C2316yes—
187C2×C4×D4C2316yes—
188C2×C4×D4C2313yes—
189C2×C4×D4C2313yes—
190C2×#117C2316yes—
191C2×#117C2316yes—
192C2×#117C2313yes—
193C22×C4⋊C4C2316yes—
194C22×C4⋊C4C2313yes—
195C22×C4⋊C4C2313yes—
196C22×C22⋊C4C2316yes—
197C22×C22⋊C4C23112yes—
198C22×C22⋊C4C23112yes—
199C22×C42C2316yes—
200C22×C42C2316yes—
201C22×C42C2313yes—
202#400C23112yes—
203#400C2316yes—
204#400C2316yes—
205#400C2316yes—
206#400C23124yes—
207#400C2312yes—
208#400C23112yes—
209#400C23112yes—
210#397C2316yes—
211#397C23112yes—
212#397C2316yes—
213#397C2316yes—
214#397C23124yes—
215#397C2312yes—
216#397C23112yes—
217#397C23112yes—
218#394C2316yes—
219#394C23112yes—
220#394C2316yes—
221#394C2316yes—
222#394C23124yes—
223#394C2312yes—
224#394C23112yes—
225#394C23112yes—
226#393C2316yes—
227#393C23112yes—
228#393C2316yes—
229#393C2316yes—
230#393C23124yes—
231#393C2312yes—
232#393C23112yes—
233#393C23112yes—
234#391C23112yes—
235#391C23112yes—
236#391C23112yes—
237#391C23112yes—
238#391C23112yes—
239#391C23112yes—
240#390C23112yes—
241#390C23112yes—
242#390C23112yes—
243#390C23112yes—
244#390C23112yes—
245#390C23112yes—
246#388C23124yes—
247#388C23124yes—
248#388C23124yes—
249#388C23124yes—
250#386C23124yes—
251#386C23124yes—
252#386C23124yes—
253#386C23124yes—
254#382C23112yes—
255#382C23112yes—
256#381C23124yes—
257#380C23112yes—
258#380C23112yes—
259#380C23112yes—
260#380C23112yes—
261#379C23124yes—
262C4×C4⋊C4C2316yes—
263C4×C4⋊C4C2316yes—
264C4×C4⋊C4C23112yes—
265C4×C4⋊C4C23112yes—
266C4×C22⋊C4C2316yes—
267C4×C22⋊C4C2316yes—
268C4×C22⋊C4C23112yes—
269C4×C22⋊C4C23112yes—
270C4×C22⋊C4C23112yes—
271C4×C22⋊C4C23112yes—
272C4×C22⋊C4C2314yes—
273C4×C22⋊C4C23112yes—
274C4×C22⋊C4C23112yes—
275C4×C22⋊C4C23112yes—
276C4×C22⋊C4C23124yes—
277C4×C22⋊C4C23124yes—
278#376C2316yes—
279#376C2316yes—
280#376C2311yescharacteristic
281#376C2313yes—
282#376C2316yes—
283C2×#95C23112yes—
284C2×#95C23112yes—
285C2×#95C2316yes—
286C2×#95C2316yes—
287C43C2316yes—
288C25C2416yes—
289C2×#41—28no—
290C2×#41—216no—
291C2×#41—224no—
292C2×#41—248no—
293C2×#41—224no—
294C2×#41—248no—
295C2×#41—4128no—
296C2×#41C2×D418yes—
297C2×#41#41116yes—
298C22×Q8—28no—
299C22×Q8—216no—
300C22×Q8—212no—
301C22×Q8—412no—
302C22×Q8C2411yescharacteristic
303C22×Q8C2416yes—
304C22×Q8C2416yes—
305C22×Q8C2413yes—
306C22×Q8C2416yes—
307C22×Q8C2411yescharacteristic
308C22×D4—224no—
309C22×D4—248no—
310C22×D4—212no—
311C22×D4—412no—
312C22×D4C2411yescharacteristic
313C22×D4C24112yes—
314C22×D4C2416yes—
315C22×D4C2416yes—
316C22×D4C2413yes—
317C22×D4C2416yes—
318C22×D4C2413yes—
319C23×C4—224no—
320C23×C4—248no—
321C23×C4C2416yes—
322C23×C4C2416yes—
323C23×C4C2416yes—
324C23×C4C2412yes—
325C23×C4C2416yes—
326C23×C4C2416yes—
327C23×C4C2416yes—
328C23×C4C24112yes—
329C23×C4C2413yes—
330C23×C4C2413yes—
331C23×C4C2413yes—
332C4⋊Q8—224no—
333C4⋊Q8—224no—
334C4⋊Q8—212no—
335C4⋊Q8—212no—
336C4⋊Q8—212no—
337#127—212no—
338#125—224no—
339#125—224no—
340#125—224no—
341#124—224no—
342#124—424no—
343#124—424no—
344#123—248no—
345C22⋊Q8—224no—
346C22⋊Q8—224no—
347C22⋊Q8—224no—
348C22⋊Q8—224no—
349C22⋊Q8—248no—
350C22⋊Q8—248no—
351#121—224no—
352#121—224no—
353#121—224no—
354#121—224no—
355#120—248no—
356C4×Q8—28no—
357C4×Q8—28no—
358C4×Q8—216no—
359C4×Q8—24no—
360C4×Q8—224no—
361C4×Q8—212no—
362C4×Q8—212no—
363C4×Q8—212no—
364C4×Q8—224no—
365C4×Q8—224no—
366C4×Q8C2×D418yes—
367C4×Q8C2×D418yes—
368C4×D4—224no—
369C4×D4—224no—
370C4×D4—248no—
371C4×D4—24no—
372C4×D4—224no—
373C4×D4—212no—
374C4×D4—212no—
375C4×D4—224no—
376C4×D4—212no—
377C4×D4—224no—
378C4×D4C2×D4124yes—
379C4×D4C2×D4124yes—
380#117—224no—
381#117—224no—
382#117C2×D4124yes—
383C2×C4⋊C4—212no—
384C2×C4⋊C4—224no—
385C2×C4⋊C4—212no—
386C2×C4⋊C4C2411yescharacteristic
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2411yescharacteristic
389C2×C4⋊C4C2413yes—
390C2×C4⋊C4C2416yes—
391C2×C4⋊C4C2416yes—
392C2×C4⋊C4C2416yes—
393C2×C4⋊C4C2416yes—
394C2×C4⋊C4C2416yes—
395C2×C4⋊C4C2413yes—
396C2×C4⋊C4C2416yes—
397C2×C4⋊C4C2416yes—
398C2×C4⋊C4C24112yes—
399C2×C4⋊C4C2416yes—
400C2×C4⋊C4C2416yes—
401C2×C4⋊C4C24112yes—
402C2×C4⋊C4C2413yes—
403C2×C4⋊C4C2413yes—
404C2×C22⋊C4—224no—
405C2×C22⋊C4—424no—
406C2×C22⋊C4—424no—
407C2×C22⋊C4C2412yes—
408C2×C22⋊C4C2414yes—
409C2×C22⋊C4C2414yes—
410C2×C22⋊C4C2416yes—
411C2×C22⋊C4C2416yes—
412C2×C22⋊C4C2416yes—
413C2×C22⋊C4C24112yes—
414C2×C22⋊C4C24112yes—
415C2×C22⋊C4C24112yes—
416C2×C22⋊C4C24112yes—
417C2×C22⋊C4C24112yes—
418C2×C22⋊C4C24112yes—
419C2×C22⋊C4C24112yes—
420C2×C22⋊C4C24112yes—
421C2×C22⋊C4C24112yes—
422C2×C22⋊C4C24124yes—
423C2×C22⋊C4C24124yes—
424C2×C22⋊C4C2416yes—
425C2×C42—224no—
426C2×C42—224no—
427C2×C42C2×D4124yes—
428C2×C42C2416yes—
429C2×C42C2416yes—
430C2×C42C24112yes—
431C2×C42C2416yes—
432C2×C42C2416yes—
433C2×C42C2412yes—
434C2×C42C2412yes—
435C2×C42C24112yes—
436C2×C42C24112yes—
437C2×C42C2413yes—
438C2×C42C2413yes—
439C2×C42C2413yes—
440C2×C42C2411yescharacteristic
441#95C2412yes—
442#95C2412yes—
443#95C2414yes—
444#95C2414yes—
445#95C2416yes—
446#95C24112yes—
447#95C24112yes—
448#95C2416yes—
449#95C24112yes—
450#95C24112yes—
451#95C24112yes—
452#95C24112yes—
453#95C24112yes—
454#95C24112yes—
455#95C24124yes—
456#95C24124yes—
457C24—212no—
458C24—212no—
459C24—224no—
460C24—412no—
461C24—46no—
462C24C2516yes—
463C24C2512yes—
464C24C2513yes—
465#41—432no—
466#41—496no—
467#41—496no—
468#41#124164yescomplemented
469C2×Q8—22no—
470C2×Q8—212no—
471C2×Q8—26no—
472C2×Q8—212no—
473C2×Q8—212no—
474C2×Q8—224no—
475C2×Q8—24no—
476C2×Q8—212no—
477C2×Q8—46no—
478C2×Q8—46no—
479C2×Q8—412no—
480C2×Q8—448no—
481C2×Q8—432no—
482C2×Q8C22×D414yes—
483C2×Q8C2×#4118yes—
484C2×D4—24no—
485C2×D4—224no—
486C2×D4—248no—
487C2×D4—212no—
488C2×D4—22no—
489C2×D4—212no—
490C2×D4—26no—
491C2×D4—212no—
492C2×D4—212no—
493C2×D4—224no—
494C2×D4—46no—
495C2×D4—46no—
496C2×D4—412no—
497C2×D4—448no—
498C2×D4—496no—
499C2×D4C22×D4112yes—
500C2×D4C2×#41124yes—
501C22×C4—212no—
502C22×C4—212no—
503C22×C4—224no—
504C22×C4—212no—
505C22×C4—224no—
506C22×C4—24no—
507C22×C4—212no—
508C22×C4—212no—
509C22×C4—212no—
510C22×C4—28no—
511C22×C4—224no—
512C22×C4—224no—
513C22×C4—224no—
514C22×C4—212no—
515C22×C4—46no—
516C22×C4—46no—
517C22×C4—46no—
518C22×C4—412no—
519C22×C4—412no—
520C22×C4—412no—
521C22×C4—496no—
522C22×C4C22×D4112yes—
523C22×C4C22×D4112yes—
524C22×C4C22×D4112yes—
525C22×C4C2×#41124yes—
526C22×C4C2514yes—
527C22×C4C2512yes—
528C22×C4C2516yes—
529C22×C4C25112yes—
530C22×C4C2512yes—
531C22×C4C2516yes—
532C22×C4C2516yes—
533C22×C4C2511yescharacteristic
534C22×C4C2511yescharacteristic
535C22×C4C2513yes—
536C22×C4C2513yes—
537C22×C4C2512yes—
538C22×C4C2513yes—
539C22×C4C2511yescharacteristic
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—26no—
544C4⋊C4—212no—
545C4⋊C4—212no—
546C4⋊C4—212no—
547C4⋊C4—212no—
548C4⋊C4—212no—
549C4⋊C4—26no—
550C4⋊C4—212no—
551C4⋊C4—212no—
552C4⋊C4—212no—
553C4⋊C4—212no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4C22×D4112yes—
557C4⋊C4C22×D4112yes—
558C22⋊C4—224no—
559C22⋊C4—224no—
560C22⋊C4—28no—
561C22⋊C4—224no—
562C22⋊C4—24no—
563C22⋊C4—212no—
564C22⋊C4—212no—
565C22⋊C4—212no—
566C22⋊C4—224no—
567C22⋊C4—28no—
568C22⋊C4—224no—
569C22⋊C4—412no—
570C22⋊C4—412no—
571C22⋊C4—412no—
572C22⋊C4—412no—
573C22⋊C4—424no—
574C22⋊C4—424no—
575C22⋊C4C22×D4124yes—
576C42—24no—
577C42—212no—
578C42—212no—
579C42—212no—
580C42—24no—
581C42—212no—
582C42—224no—
583C42—412no—
584C42—412no—
585C42C22×D414yes—
586C42C22×D4112yes—
587C42C22×D4112yes—
588C42C22×D4112yes—
589C23—26no—
590C23—26no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—26no—
596C23—212no—
597C23—212no—
598C23—26no—
599C23—26no—
600C23—424no—
601C23—448no—
602C23—424no—
603C23—812no—
604C23—824no—
605C23C23×D416yes—
606C23C22×#41112yes—
607C23#58514yes—
608C23C2611yescharacteristic
609Q8—28no—
610Q8—424no—
611Q8—412no—
612Q8—424no—
613Q8—812no—
614Q8C2×#124116yes—
615D4—28no—
616D4—424no—
617D4—412no—
618D4—448no—
619D4—424no—
620D4—812no—
621D4C2×#124148yes—
622C2×C4—22no—
623C2×C4—26no—
624C2×C4—26no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—26no—
630C2×C4—26no—
631C2×C4—22no—
632C2×C4—26no—
633C2×C4—24no—
634C2×C4—212no—
635C2×C4—24no—
636C2×C4—212no—
637C2×C4—212no—
638C2×C4—212no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—212no—
643C2×C4—26no—
644C2×C4—26no—
645C2×C4—412no—
646C2×C4—412no—
647C2×C4—424no—
648C2×C4—424no—
649C2×C4—48no—
650C2×C4—424no—
651C2×C4—424no—
652C2×C4—424no—
653C2×C4—812no—
654C2×C4—824no—
655C2×C4C2×#124148yes—
656C2×C4C23×D412yes—
657C2×C4C23×D412yes—
658C2×C4C23×D416yes—
659C2×C4C23×D416yes—
660C2×C4C23×D412yes—
661C2×C4C23×D416yes—
662C2×C4C22×#4114yes—
663C2×C4C22×#41112yes—
664C2×C4#58514yes—
665C22—26no—
666C22—26no—
667C22—224no—
668C22—24no—
669C22—28no—
670C22—42no—
671C22—44no—
672C22—42no—
673C22—46no—
674C22—46no—
675C22—412no—
676C22—412no—
677C22—46no—
678C22—848no—
679C22C22×#124112yes—
680C22C24×D411yescharacteristic
681C22C23×#4112yes—
682C22C2×#58512yes—
683C22C2×#58512yes—
684C4—22no—
685C4—22no—
686C4—24no—
687C4—26no—
688C4—26no—
689C4—46no—
690C4—42no—
691C4—46no—
692C4—412no—
693C4—44no—
694C4—42no—
695C4—46no—
696C4C22×#12414yes—
697C4C22×#124112yes—
698C2—212no—
699C2—44no—
700C2—86no—
701C2C23×#12411yescharacteristic
702C2#6281111yescharacteristic
703C2#6281111yescharacteristic
704C2#6281614yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D4×#41C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×Q8×#41C2semidirect
3. #36049C2semidirect
4. #36042C2semidirect
5. #35948C2semidirect
6. #35939C2semidirect
7. #35910C2semidirect
8. #35903C2semidirect
9. #35854C2semidirect
10. #35847C2semidirect
11. #34955C2semidirect
12. #34946C2semidirect
13. #34813C2semidirect
14. #34637C2semidirect
15. C2×#2398C2semidirect
16. C22⋊C4×#41C2semidirect
17. #33999C2semidirect
20. C2×Q82C22semidirect
21. C2×#557C22semidirect
22. C2×#557C22semidirect
23. C2×#554C22semidirect
24. C2×#554C22semidirect
28. C2×D4×Q8C22semidirect
33. C2×#533C22semidirect
34. C2×#533C22semidirect
40. C22×C4×Q8C22semidirect
42. #2642C22semidirect
43. #2641C22semidirect
44. #2640C22semidirect
45. #2640C22semidirect
46. #2639C22semidirect
47. #2639C22semidirect
48. #2592C22semidirect
49. #2592C22semidirect
50. #2591C22semidirect
51. #2568C22semidirect
52. #2563C22semidirect
54. #2562C22semidirect
55. #2561C22semidirect
56. #2548C22semidirect
57. #2547C22semidirect
58. #2504C22semidirect
59. #2503C22semidirect
60. #2492C22semidirect
61. #2492C22semidirect
62. #2491C22semidirect
63. #2491C22semidirect
64. #2490C22semidirect
65. #2490C22semidirect
66. #2489C22semidirect
67. #2489C22semidirect
68. #2488C22semidirect
69. #2488C22semidirect
70. #2472C22semidirect
71. #2472C22semidirect
72. #2436C22semidirect
77. #2398C22semidirect
78. #2398C22semidirect
79. #2398C22semidirect
80. #2398C22semidirect
81. #2398C22semidirect
82. #2398C22semidirect
83. #2398C22semidirect
84. #2398C22semidirect
85. C2×#400C22semidirect
86. C2×#397C22semidirect
88. C2×#393C22semidirect
89. #2341C22semidirect
90. #2341C22semidirect
91. Q8×C22⋊C4C22semidirect
92. Q8×C22⋊C4C22semidirect
93. #2339C22semidirect
94. #2339C22semidirect
95. D4×C22⋊C4C22semidirect
96. D4×C22⋊C4C22semidirect
97. C4×#124C22semidirect
98. C4×#124C22semidirect
99. #2297C22semidirect
100. #2297C22semidirect
101. #2280C22semidirect
102. #2276C22semidirect
103. #2276C22semidirect
104. #2275C22semidirect
105. #2275C22semidirect
106. C4×#117C22semidirect
107. C4×#117C22semidirect
108. C2×C4×C22⋊C4C22semidirect
109. C2×#376C22semidirect
468. #41#124semidirect

Maximal subgroups

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

subgroupindex
C2×Q8×#412
C2×D4×#412
#360492
#360422
#359482
#359392
#359102
#359032
#358542
#358472
#349552
#349462
#348132
#346372
C2×#23982
C22⋊C4×#412
#339992