Finite Group Databasebeta

← #30619340

Subgroups — #30619340

Order 15616.

796 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462599C211yesmaximal, characteristic, complemented
2#21462579C211yesmaximal, characteristic, complemented
3#21461979C211yesmaximal, characteristic, complemented
4#21461978C211yesmaximal, characteristic, complemented
5#21461866C211yesmaximal, characteristic, complemented
6#21461864C211yesmaximal, characteristic, complemented
7#21461863C211yesmaximal, characteristic, complemented
8#21461861C211yesmaximal, characteristic, complemented
9#21461854C211yesmaximal, characteristic, complemented
10#21461852C211yesmaximal, characteristic, complemented
11#21461851C211yesmaximal, characteristic, complemented
12#21461849C211yesmaximal, characteristic, complemented
13#21461739C211yesmaximal, characteristic, complemented
14#21461541C211yesmaximal, characteristic, complemented
15#21456294C211yesmaximal, characteristic
16#16840842C2211yescharacteristic
17#16840842C2211yescharacteristic
18#16840830C2211yescharacteristic
19#16840829C2211yescharacteristic
20#16840808—22no—
21#16840806—22no—
22#16840801—22no—
23SD16×#6923—22no—
24D61⋊#108C2211yescharacteristic
25#16840772C2211yescharacteristic
26#16840761C2211yescharacteristic
27#16840761C2211yescharacteristic
28#16840761C2211yescharacteristic
29#16840761C2211yescharacteristic
30#16840755C2211yescharacteristic
31#16840755C2211yescharacteristic
32#16840754C2211yescharacteristic
33#16840754C2211yescharacteristic
34D61⋊#101C2211yescharacteristic
35D61⋊#100C2211yescharacteristic
36#16840743C2211yescharacteristic
37#16840743C2211yescharacteristic
38#16840725C2211yescharacteristic
39#16840725C2211yescharacteristic
40#16840644C2211yescharacteristic
41#16840644C2211yescharacteristic
42#16840631C2211yescharacteristic
43#16840630C2211yescharacteristic
44#16840629C2211yescharacteristic
45#16840629C2211yescharacteristic
46#16840629C2211yescharacteristic
47#16840629C2211yescharacteristic
48C2×#14519809C2211yescharacteristic
49C2×#14519804C2211yescharacteristic
50C2×#14519800C2211yescharacteristic
51C2×SD16×D61C2211yescharacteristic
52#16840337C2211yescharacteristic
53#16840330C2211yescharacteristic
54#16840155C411yescharacteristic, complemented
55#16840151C411yescharacteristic, complemented
56#16840148C411yescharacteristic, complemented
57#16840147C411yescharacteristic, complemented
58#16840144C411yescharacteristic, complemented
59#16840136C411yescharacteristic, complemented
60#16840133C411yescharacteristic, complemented
61#16839719C2211yescharacteristic
62C61×#497C411yescharacteristic, complemented
63#14519865—22no—
64#14519865—22no—
65#14519865—41no—
66#14519865—41no—
67D61⋊M16—41no—
68D61⋊M16—41no—
69D61⋊M16C2311yescharacteristic
70D61⋊M16C2311yescharacteristic
71D61⋊M16C2311yescharacteristic
72D61⋊M16C2311yescharacteristic
73Q8×#6923—22no—
74Q8×#6923—41no—
75D4×#6923—22no—
76D4×#6923—41no—
77#14519856—41no—
78#14519856C2311yescharacteristic
79#14519856C2311yescharacteristic
80#14519856C2311yescharacteristic
81#14519856C2311yescharacteristic
82C2×C22⋊#6923—41no—
83#14519848—21no—
84#14519847—21no—
85#14519846—21no—
86#14519845—21no—
87#14519842—22no—
88#14519842—22no—
89#14519842—41no—
90#14519842—41no—
91#14519840—22no—
92#14519840—41no—
93#14519839—22no—
94#14519839—41no—
95#14519838—41no—
96#14519837—41no—
97#14519836—41no—
98#14519836—41no—
99#14519831—21no—
100#14519831D412yescomplemented
101C8×#6923—21no—
102C8×#6923D412yescomplemented
103C2×#11758226C2311yescharacteristic
104C2×#11758226C2311yescharacteristic
105C2×Q8×D61C2311yescharacteristic
106C2×D4×D61C2311yescharacteristic
107#14519809—41no—
108#14519809—41no—
109#14519804—41no—
110#14519804—41no—
111#14519800—21no—
112#14519800—21no—
113#14519800—21no—
114#14519800—21no—
115C2×#11758202C2×C411yescharacteristic, complemented
116C2×#11758190C2×C411yescharacteristic
117C2×#11758190C2×C411yescharacteristic, complemented
118C2×#11758200C2×C411yescharacteristic
119C2×#11758201C2×C411yescharacteristic
120C2×#11758201C2×C411yescharacteristic
121C2×#11758201C2×C411yescharacteristic, complemented
122C2×#11758201C2×C411yescharacteristic, complemented
123C2×#11758201C2×C411yescharacteristic, complemented
124SD16×D61—21no—
125SD16×D61—21no—
126SD16×D61—21no—
127SD16×D61—21no—
128C2×D488C2×C411yescharacteristic
129C2×D488C2×C411yescharacteristic, complemented
130C2×#11758199C2×C411yescharacteristic
131C2×#11758189C2311yescharacteristic
132C2×C8×D61C2311yescharacteristic
133#14519775C2×C411yescharacteristic, complemented
134#14519774C2×C411yescharacteristic
135#14519773C2×C411yescharacteristic
136#14519766C2×C411yescharacteristic
137#14519766C2×C411yescharacteristic, complemented
138#14519765C2×C411yescharacteristic, complemented
139#14519762—41no—
140#14519755—41no—
141#14519750—41no—
142#14519747—41no—
143#14519734C2311yescharacteristic
144#14519687C2×C411yescharacteristic, complemented
145C4×#92418C2×C411yescharacteristic, complemented
146C8×Dic61C2×C411yescharacteristic, complemented
147C2×Q16×C61C2×C411yescharacteristic, complemented
148C2×Q16×C61C2×C411yescharacteristic, complemented
149C2×SD16×C61C2×C411yescharacteristic
150C2×SD16×C61C2×C411yescharacteristic
151C4⋊Q8×C61C2×C411yescharacteristic, complemented
152#124×C61C2×C411yescharacteristic
153#97×C61C2×C411yescharacteristic, complemented
154C23×D61—21no—
155C22×#6923—42no—
156C2×Q8×C61C22×C411yescharacteristic
157C2×Q8×C61C22×C411yescharacteristic
158C2×Q8×C61C22×C411yescharacteristic
159C2×D4×C61C22×C411yescharacteristic
160C2×C22⋊D61—21no—
161C2×C22⋊D61—41no—
162#11758226—21no—
163#11758226—21no—
164#11758226—21no—
165#11758226—21no—
166#11758226—21no—
167#11758226—21no—
168#11758226—21no—
169#11758226—21no—
170Q8×D61—21no—
171Q8×D61—21no—
172Q8×D61—21no—
173Q8×D61—21no—
174D4×D61—21no—
175D4×D61—21no—
176D4×D61—21no—
177D4×D61—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—41no—
181C2×D244C22×C411yescharacteristic
182C2×D244C22×C411yescharacteristic
183C2×D244C22×C411yescharacteristic
184C2×C4×D61—21no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61C2411yescharacteristic
188C2×Dic122—21no—
189C2×Dic122C22×C411yescharacteristic
190C22⋊#6923—21no—
191C22⋊#6923—21no—
192C22⋊#6923—21no—
193C22⋊#6923—21no—
194C22⋊#6923—42no—
195#11758217—21no—
196#11758217—21no—
197#11758217—21no—
198#11758217—21no—
199C4⋊#6923—21no—
200C4⋊#6923—21no—
201C4⋊#6923—21no—
202C4⋊#6923—21no—
203C4⋊#6923—42no—
204C4×#6923—21no—
205C4×#6923—21no—
206C4×#6923—21no—
207C4×#6923—42no—
208C4×#6923C2×D412yes—
209#11758213—21no—
210#11758213—21no—
211#11758213—21no—
212#11758213—21no—
213#11758213—42no—
214#11758213—42no—
215D61⋊C8—21no—
216D61⋊C8—21no—
217D61⋊C8—21no—
218D61⋊C8—42no—
219D61⋊C8—42no—
220D61⋊C8C2×D412yes—
221Q16×C61—21no—
222Q16×C61—21no—
223Q16×C61—41no—
224SD16×C61—21no—
225SD16×C61—21no—
226SD16×C61—41no—
227C2×C8×C61C22×C411yescharacteristic
228C2×C8×C61C22×C411yescharacteristic
229C4⋊C4×C61—41no—
230C22⋊C4×C61—41no—
231C42×C61C22×C411yescharacteristic
232#11758202—41no—
233#11758201—21no—
234#11758201—21no—
235#11758201—21no—
236#11758201—21no—
237#11758201—21no—
238#11758201—21no—
239#11758201—41no—
240#11758201—41no—
241#11758200—21no—
242#11758200—21no—
243#11758199—41no—
244#11758198—21no—
245#11758198—41no—
246#11758198—41no—
247#11758198—41no—
248#11758196—21no—
249#11758196—41no—
250C4×Dic61C22×C411yescharacteristic
251C2×#92418C22×C411yescharacteristic
252C2×#92418C22×C411yescharacteristic
253D488—21no—
254D488—21no—
255D488—41no—
256#11758190—21no—
257#11758190—21no—
258#11758190—41no—
259#11758189—21no—
260#11758189—21no—
261C8×D61C2×D411yescharacteristic
262C8×D61C2×D411yescharacteristic
263C8×D61#4111yescharacteristic
264C8×D61#4111yescharacteristic
265C23×C61—21no—
266C22×D61—21no—
267C22×D61—21no—
268C22×D61—21no—
269C22×D61—41no—
270C22×D61—41no—
271C22×D61—161no—
272C22×D61H(5,𝔽2)11yescharacteristic
273C2×#6923—22no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923—162no—
278Q8×C61—21no—
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—21no—
283Q8×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61C23×C411yescharacteristic
291C22⋊D61—41no—
292C22⋊D61—41no—
293C22⋊D61—161no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61H(5,𝔽2)11yescharacteristic
297D244—21no—
298D244—21no—
299D244—21no—
300D244—21no—
301D244—21no—
302D244—21no—
303D244—41no—
304D244—41no—
305D244—41no—
306D244—41no—
307D244—161no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—41no—
312C4×D61—41no—
313C4×D61—41no—
314C4×D61C22×D411yescharacteristic
315C4×D61C2×#4111yescharacteristic
316C4×D61H(5,𝔽2)11yescharacteristic
317C4×D61H(5,𝔽2)11yescharacteristic
318Dic122—21no—
319Dic122—21no—
320Dic122—41no—
321Dic122—41no—
322#92420—22no—
323#92420—41no—
324#92420—41no—
325#92420—41no—
326C8×C61—21no—
327C8×C61C4×D411yescharacteristic
328C8×C61C4×D411yescharacteristic
329#92418—21no—
330#92418C4×D411yescharacteristic
331#92418C4×D411yescharacteristic
332#22284—611nomaximal, Sylow
333C22×C61—41no—
334C22×C61—81no—
335C22×C61#51811yescharacteristic
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—82no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61—161no—
345C2×D61#53511yescharacteristic
346C2×D61#54011yescharacteristic
347#6923—42no—
348#6923—81no—
349#6923—81no—
350#6923—81no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61C2×C4×D411yescharacteristic
356C4×C61#51811yescharacteristic
357Dic61—41no—
358Dic61—41no—
359Dic61#53511yescharacteristic
360Dic61#54011yescharacteristic
361#3154—611no—
362#2957—611no—
363#2949—611no—
364#1977—611no—
365#1976—611no—
366#1912—611no—
367#1911—611no—
368#1910—611no—
369#1909—611no—
370#1905—611no—
371#1904—611no—
372#1903—611no—
373#1902—611no—
374#1833—611no—
375#1747—611no—
376C2×C61—21no—
377C2×C61—81no—
378C2×C61#232811yescharacteristic
379D61—21no—
380D61—21no—
381D61—81no—
382D61—81no—
383D61—81no—
384C2×#137—611no—
385C2×AGL(1,ℤ/8)—611no—
386C2×#135—611no—
387C22×SD16—611no—
388#568—611no—
389#568—611no—
390#536—611no—
391#535—611no—
392#519—611no—
393#518—611no—
394#497—611no—
395#497#692311yescharacteristic, complemented
396#496—611no—
397#496—611no—
398#495—611no—
399#495—611no—
400#492—611no—
401#492—611no—
402#444—1222no—
403#443—1222no—
404#440—1222no—
405C4×SD16—1222no—
406C2×#108—611no—
407#427—611no—
408#421—611no—
409#421—611no—
410#421—611no—
411#421—611no—
412#419—611no—
413#419—611no—
414#418—611no—
415#418—611no—
416C2×#101—611no—
417C2×#100—611no—
418#410—611no—
419#410—611no—
420#405—611no—
421#405—611no—
422#405—611no—
423#344—611no—
424#344—611no—
425#338—611no—
426H(3,ℤ/4)—611no—
427H(3,ℤ/4)—611no—
428H(3,ℤ/4)—611no—
429H(3,ℤ/4)—611no—
430H(3,ℤ/4)—611no—
431C61#2228411yescharacteristic, complemented, Sylow
432C2×#41—611no—
433C2×#41—611no—
434C22×Q8—611no—
435C22×D4—611no—
436#137—2441no—
437#137—2441no—
438AGL(1,ℤ/8)—2441no—
439AGL(1,ℤ/8)—2441no—
440#135—1221no—
441#135—1221no—
442#135—1221no—
443#135—1221no—
444C2×Q16—611no—
445C2×Q16C2×#692311yescharacteristic, complemented
446C2×Q16C2×#692311yescharacteristic, complemented
447C2×SD16—611no—
448C2×SD16—611no—
449C2×SD16—611no—
450C2×SD16—611no—
451C2×SD16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—1221no—
456C2×SD16—1221no—
457C2×SD16—1221no—
458C2×SD16—1221no—
459C2×SD16C2×#692311yescharacteristic
460C2×SD16C2×#692311yescharacteristic
461C2×D8—611no—
462C2×D8—611no—
463C2×D8—611no—
464#131—1222no—
465#131—1222no—
466#131—2441no—
467#131—2441no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—2441no—
474C2×M16—2441no—
475C22×C8—611no—
476C4⋊Q8—611no—
477C4⋊Q8C2×#692311yescharacteristic, complemented
478#127—611no—
479#127—611no—
480#124—611no—
481#124—611no—
482#124—611no—
483#124C2×#692311yescharacteristic
484#123—2441no—
485C22⋊Q8—2441no—
486#121—2441no—
487#120—2441no—
488C4×Q8—1222no—
489C4×Q8—2441no—
490C4×D4—1222no—
491C4×D4—2441no—
492#117—611no—
493#117—611no—
494#117—611no—
495#117—611no—
496#117—611no—
497#117—2441no—
498C2×C22⋊C4—2441no—
499#108—1221no—
500#108—1221no—
501#107—1221no—
502#106—1221no—
503#104—1222no—
504#104—1222no—
505#104—2441no—
506#104—2441no—
507#103—1222no—
508#103—2441no—
509#102—1222no—
510#102—2441no—
511#101—2441no—
512#100—2441no—
513#99—2441no—
514#99—2441no—
515#97—612no—
516#97—611no—
517#97—1221no—
518#97C2×#692311yescharacteristic, complemented
519C4×C8—612no—
520C4×C8—611no—
521C4×C8—611no—
522C4×C8—1221no—
523C24—1221no—
524#41—1221no—
525#41—1221no—
526#41—1221no—
527#41—1221no—
528#41—1221no—
529#41—1221no—
530#41—1221no—
531#41—1221no—
532C2×Q8—611no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×Q8—1221no—
537C2×Q8—1221no—
538C2×Q8C22×#692311yescharacteristic
539C2×Q8C22×#692311yescharacteristic
540C2×Q8C22×#692311yescharacteristic
541C2×D4—611no—
542C2×D4—611no—
543C2×D4—611no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—2441no—
552C2×D4—2441no—
553C2×D4C22×#692311yescharacteristic
554C22×C4—611no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—2442no—
559Q16—21no—
560Q16—21no—
561Q16—41no—
562Q16—2441no—
563SD16—21no—
564SD16—21no—
565SD16—41no—
566SD16—1221no—
567SD16—1221no—
568SD16—1221no—
569SD16—1221no—
570SD16—1221no—
571SD16—1221no—
572SD16—1221no—
573SD16—1221no—
574SD16—1221no—
575SD16—1221no—
576SD16—2441no—
577SD16—2441no—
578SD16—2441no—
579D8—1221no—
580D8—1221no—
581D8—2441no—
582D8—2441no—
583M16—1221no—
584M16—1221no—
585M16—1221no—
586M16—1221no—
587M16—1221no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595C2×C8—611no—
596C2×C8—611no—
597C2×C8—611no—
598C2×C8—611no—
599C2×C8—611no—
600C2×C8—612no—
601C2×C8—611no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—2442no—
606C2×C8—2442no—
607C2×C8C22×#692311yescharacteristic
608C2×C8C22×#692311yescharacteristic
609C4⋊C4—41no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—1221no—
615C4⋊C4—2441no—
616C4⋊C4—2442no—
617C22⋊C4—41no—
618C22⋊C4—1221no—
619C22⋊C4—1221no—
620C22⋊C4—1221no—
621C22⋊C4—1221no—
622C22⋊C4—1221no—
623C22⋊C4—2441no—
624C22⋊C4—2441no—
625C22⋊C4—2441no—
626C22⋊C4—2442no—
627C42—612no—
628C42—611no—
629C42—1221no—
630C42—1221no—
631C42—1221no—
632C42—2442no—
633C42C22×#692311yescharacteristic
634C23—21no—
635C23—611no—
636C23—1221no—
637C23—1221no—
638C23—1221no—
639C23—9761no—
640C23—2441no—
641C23—2441no—
642Q8—21no—
643Q8—21no—
644Q8—21no—
645Q8—21no—
646Q8—21no—
647Q8—21no—
648Q8—1221no—
649Q8—1221no—
650Q8—2441no—
651Q8—2441no—
652D4—21no—
653D4—21no—
654D4—1221no—
655D4—1221no—
656D4—1221no—
657D4—1221no—
658D4—1221no—
659D4—1221no—
660D4—9761no—
661D4—9761no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4—2441no—
667D4—2441no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—1222no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—9762no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4C23×#692311yescharacteristic
691C8—21no—
692C8—611no—
693C8—611no—
694C8—1222no—
695C8—1221no—
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C8D4×#692311yescharacteristic
700C8D4×#692311yescharacteristic
701C22—41no—
702C22—81no—
703C22—611no—
704C22—611no—
705C22—9761no—
706C22—4881no—
707C22—4881no—
708C22—4881no—
709C22—4882no—
710C22—2441no—
711C22—2441no—
712C22—2441no—
713C22—2441no—
714C22#1684082911yescharacteristic
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—611no—
720C4—611no—
721C4—4881no—
722C4—4881no—
723C4—4881no—
724C4—2441no—
725C4—2442no—
726C4—2441no—
727C4C2×D4×#692311yescharacteristic
728C4#1684082911yescharacteristic
729C2—21no—
730C2—81no—
731C2—1221no—
732C2—1221no—
733C2—4881no—
734C2—4881no—
735C2—4881no—
736C2#2146231111yescharacteristic
subgroupG/H
centerC2#21462311
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#497C4
socleC2×C61#2328
prime radical#21456294C2
cosocleC2×C4×D61C24
hypercenter#497#6923
hypocenterC61#22284
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C2×C4 ◁ #497

Complements

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

NH ≅ G/Ntype
1. #21462599C2semidirect
2. #21462579C2semidirect
3. #21461979C2semidirect
4. #21461978C2semidirect
5. #21461866C2semidirect
6. #21461864C2semidirect
7. #21461863C2semidirect
8. #21461861C2semidirect
9. #21461854C2semidirect
10. #21461852C2semidirect
11. #21461851C2semidirect
12. #21461849C2semidirect
13. #21461739C2semidirect
14. #21461541C2semidirect
54. #16840155C4semidirect
55. #16840151C4semidirect
56. #16840148C4semidirect
57. #16840147C4semidirect
58. #16840144C4semidirect
59. #16840136C4semidirect
60. #16840133C4semidirect
62. C61×#497C4semidirect
100. #14519831D4semidirect
102. C8×#6923D4semidirect
115. C2×#11758202C2×C4semidirect
117. C2×#11758190C2×C4semidirect
121. C2×#11758201C2×C4semidirect
122. C2×#11758201C2×C4semidirect
123. C2×#11758201C2×C4semidirect
129. C2×D488C2×C4semidirect
133. #14519775C2×C4semidirect
137. #14519766C2×C4semidirect
138. #14519765C2×C4semidirect
144. #14519687C2×C4semidirect
145. C4×#92418C2×C4semidirect
146. C8×Dic61C2×C4semidirect
147. C2×Q16×C61C2×C4semidirect
148. C2×Q16×C61C2×C4semidirect
151. C4⋊Q8×C61C2×C4semidirect
153. #97×C61C2×C4semidirect
395. #497#6923semidirect
431. C61#22284semidirect
445. C2×Q16C2×#6923semidirect
446. C2×Q16C2×#6923semidirect
477. C4⋊Q8C2×#6923semidirect
518. #97C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214625992
#214625792
#214619792
#214619782
#214618662
#214618642
#214618632
#214618612
#214618542
#214618522
#214618512
#214618492
#214617392
#214615412
#214562942
#2228461