Finite Group Databasebeta

← #11897555

Subgroups — #11897555

Order 1152.

814 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595272C211yesmaximal, characteristic, complemented
2D4×#627C211yesmaximal, characteristic, complemented
3#10592851C211yesmaximal, characteristic
4C3×#5152C211yesmaximal, characteristic
5C3×Dic3×D8C211yesmaximal, characteristic
6#10591495C211yesmaximal, characteristic, complemented
7#10591479C211yesmaximal, characteristic, complemented
8#10591410C211yesmaximal, characteristic, complemented
9#10591409C211yesmaximal, characteristic, complemented
10#10591408C211yesmaximal, characteristic, complemented
11#10591408C211yesmaximal, characteristic, complemented
12#10590903C211yesmaximal, characteristic, complemented
13#10590894C211yesmaximal, characteristic, complemented
14#10590889C211yesmaximal, characteristic, complemented
15#10590784C211yesmaximal, characteristic, complemented
16#79855—31nomaximal
17#79576—31nomaximal
18C22×#627—21no—
19C2×C32×D8C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26#63982—21no—
27#63982—21no—
28C2×Dic3⋊Dic3—21no—
29#63964—21no—
30#63964—21no—
31#63964—21no—
32#63964—21no—
33#63919C2211yescharacteristic
34#63918C2211yescharacteristic
35#63918C2211yescharacteristic
36#63918C2211yescharacteristic
37C4×#627C2211yescharacteristic
38#63872C2211yescharacteristic
39#63869C2211yescharacteristic
40#63659C2211yescharacteristic
41#63659C2211yescharacteristic
42#63644C2211yescharacteristic
43#63642C2211yescharacteristic
44C3×#832C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#818C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52#63576C2211yescharacteristic
53#63575C2211yescharacteristic
54#63574C2211yescharacteristic
55#63573C2211yescharacteristic
56#63573C2211yescharacteristic
57#63573C2211yescharacteristic
58#63572C2211yescharacteristic
59Dic3⋊(C3⋊C8)C2211yescharacteristic
60Dic3⋊(C3⋊C8)C2211yescharacteristic
61#5543—31no—
62#5539—31no—
63D4×Dic6—31no—
64D4×Dic6—31no—
65C3×#442—31no—
66C3×C4×D8—31no—
67#5152—31no—
68#5152—31no—
69#5152—61no—
70#5152D311yescharacteristic
71Dic3×D8D311yescharacteristic
72#5009—31no—
73#5008—31no—
74#5008—31no—
75#5007—31no—
76#4876—31no—
77#4876—31no—
78#4856—31no—
79#4855—31no—
80#4766—31no—
81#4763—31no—
82#4763—31no—
83#4761—31no—
84#4761—31no—
85#4761—31no—
86#4761—31no—
87#4759—31no—
88#4702—31no—
89#4701—31no—
90#4680—31no—
91#4679—31no—
92C2×C32×D4C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C22×C3⋊Dic3—21no—
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C22×C3×Dic3—21no—
100C2×#627—21no—
101C2×#627—21no—
102C2×#627—21no—
103C2×#627—21no—
104C2×#627—44no—
105C2×#627D411yescharacteristic
106C32×D8Q814yescomplemented
107C2×C32×C8C2311yescharacteristic
108#3757—21no—
109#3757—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#217—21no—
117C3×#217—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126#3724—21no—
127#3724—21no—
128#3724D411yescharacteristic
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137#3384—91noSylow
138C22×Dic6—61no—
139C22×Dic6—61no—
140C2×C3×D8—21no—
141C2×C3×D8C2×D311yescharacteristic
142C2×C3×D8C2×D311yescharacteristic
143C3×C4×D4—31no—
144C3×C4×D4—31no—
145C3×C4×D4—31no—
146C3×C4×D4—31no—
147D4×Dic3—31no—
148D4×Dic3—31no—
149D4×Dic3—31no—
150D4×Dic3—31no—
151D4×Dic3—61no—
152D4×Dic3—61no—
153D4×Dic3C2×D311yescharacteristic
154D4×Dic3C2×D311yescharacteristic
155D4×Dic3C2×D311yescharacteristic
156D4×Dic3C2×D311yescharacteristic
157C2×C4⋊Dic3—61no—
158#924—61no—
159#924—61no—
160#924—61no—
161#924—61no—
162C2×Dic3⋊C4—61no—
163#890—31no—
164#890—31no—
165#890—31no—
166#888—31no—
167#888—31no—
168#888—31no—
169#888—31no—
170#888—31no—
171#878—61no—
172#878—61no—
173#878—61no—
174#878—61no—
175#878—61no—
176#878—61no—
177#878—61no—
178#878—61no—
179#870—31no—
180#869—31no—
181#869—31no—
182#869—31no—
183C4×Dic6—31no—
184C4×Dic6—31no—
185C3×#107—31no—
186C3×#106—31no—
187C3×#102—31no—
188C3×#102—31no—
189C3×#102—31no—
190C3×#102—31no—
191C3×#97—31no—
192C3×C4×C8—31no—
193#832—31no—
194#832—31no—
195#832—31no—
196#832—31no—
197#832—61no—
198#832—61no—
199#832C2×D311yescharacteristic
200#832C2×D311yescharacteristic
201#832C2×D311yescharacteristic
202#832C2×D311yescharacteristic
203#818—31no—
204#818C2×D311yescharacteristic
205#817—31no—
206#817—31no—
207#817—31no—
208#817—31no—
209#817—31no—
210#817—61no—
211#817C2×D311yescharacteristic
212#815—31no—
213#815—31no—
214#815—61no—
215#815C2×D311yescharacteristic
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220C8×Dic3C2×D311yescharacteristic
221#808—31no—
222#808—31no—
223#808—31no—
224#808—31no—
225#808—31no—
226#807—31no—
227#807—31no—
228#807—31no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C23×C32—21no—
232C23×C32—21no—
233C32×D4—21no—
234C32×D4—21no—
235C32×D4C2×Q812yes—
236C32×D4C2×Q812yescomplemented
237C2×C32×C4C2411yescharacteristic
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3—42no—
241C2×C3⋊Dic3—81no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—42no—
249C2×C3×Dic3—42no—
250C2×C3×Dic3—42no—
251C2×C3×Dic3—81no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256#627—22no—
257#627—42no—
258#627—42no—
259#627—42no—
260#627—81no—
261C32×C8C2×Q812yescomplemented
262C3⋊(C3⋊C8)—21no—
263C3×C3⋊C8—21no—
264C3×C3⋊C8—21no—
265#554—91no—
266D4×Q8—91no—
267#501—91no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—91no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—31no—
278#442—91no—
279C4×D8—31no—
280C2×C3×D4—21no—
281C2×C3×D4—21no—
282C2×C3×D4C22×D311yescharacteristic
283C2×C3×D4C22×D311yescharacteristic
284C2×C3×D4C22×D311yescharacteristic
285C2×C3×D4C22×D311yescharacteristic
286C22×C3×C4—61no—
287C22×C3×C4—61no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×Dic3—21no—
291C22×Dic3—21no—
292C22×Dic3—21no—
293C22×Dic3—21no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298C22×Dic3—121no—
299C22×Dic3—121no—
300C2×Dic6—31no—
301C2×Dic6—31no—
302C2×Dic6—61no—
303C2×Dic6—61no—
304C2×Dic6—61no—
305C2×Dic6—61no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6—124no—
311C2×Dic6—124no—
312C3×D8—24no—
313C3×D8Dic614yescomplemented
314C3×D8Dic614yescomplemented
315C2×C3×C8—21no—
316C2×C3×C8—31no—
317C2×C3×C8—31no—
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C22⋊C4—61no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C42—31no—
329C3×C42—31no—
330#217—21no—
331#217—21no—
332#217—21no—
333#217—21no—
334#217—61no—
335#217—61no—
336#217—61no—
337#217—61no—
338#217—121no—
339#217—121no—
340C4⋊Dic3—31no—
341C4⋊Dic3—31no—
342C4⋊Dic3—31no—
343C4⋊Dic3—31no—
344C4⋊Dic3—31no—
345C4⋊Dic3—31no—
346C4⋊Dic3—61no—
347C4⋊Dic3—61no—
348C4⋊Dic3—61no—
349C4⋊Dic3—61no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3C22×D311yescharacteristic
355C4⋊Dic3C22×D311yescharacteristic
356C4⋊Dic3C22×D311yescharacteristic
357C4⋊Dic3C22×D311yescharacteristic
358Dic3⋊C4—31no—
359Dic3⋊C4—31no—
360Dic3⋊C4—31no—
361Dic3⋊C4—31no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—61no—
375C4×Dic3C22×D311yescharacteristic
376C4×Dic3C22×D311yescharacteristic
377C2×C3⋊C8—31no—
378C2×C3⋊C8—31no—
379C2×C3⋊C8—61no—
380C2×C3⋊C8C22×D311yescharacteristic
381C2×C3⋊C8C22×D311yescharacteristic
382C22×C32—22no—
383C22×C32—22no—
384C22×C32—41no—
385C22×C32—41no—
386C22×C32—41no—
387C22×C32—41no—
388C22×C32C22×D411yescharacteristic
389C32×C4C22×Q811yescharacteristic
390C32×C42−1+411yescharacteristic
391C3⋊Dic3—21no—
392C3⋊Dic3—21no—
393C3⋊Dic3—41no—
394C3⋊Dic3—41no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—41no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3—41no—
402C3×Dic3AGL(1,ℤ/8)12yes—
403C22×Q8—181no—
404C2×D8D3211yescharacteristic
405C4⋊Q8—91no—
406C4⋊Q8—91no—
407C4⋊Q8—91no—
408C4⋊Q8—91no—
409#125—91no—
410#125—91no—
411C22⋊Q8—181no—
412C22⋊Q8—181no—
413C22⋊Q8—181no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C22⋊Q8—181no—
417C4×Q8—91no—
418C4×D4—31no—
419C4×D4—31no—
420C4×D4—31no—
421C4×D4—31no—
422C4×D4—91no—
423C4×D4—91no—
424C2×C4⋊C4—181no—
425#107—31no—
426#107—91no—
427#107—91no—
428#106—31no—
429#106—91no—
430#106—91no—
431#106—91no—
432#106—91no—
433#106—91no—
434C4⋊C8—91no—
435C4⋊C8—91no—
436C4⋊C8—91no—
437#102—31no—
438#102—31no—
439#102—31no—
440#102—31no—
441#102—91no—
442#102—91no—
443#97—31no—
444#97—91no—
445C4×C8—31no—
446C23×C3—21no—
447C23×C3—21no—
448C23×C3—21no—
449C23×C3—21no—
450C23×C3—41no—
451C23×C3—41no—
452C3×D4—21no—
453C3×D4—21no—
454C3×D4—21no—
455C3×D4—21no—
456C3×D4—22no—
457C3×D4—22no—
458C3×D4—41no—
459C3×D4—41no—
460C3×D4C2×Dic612yes—
461C3×D4C2×Dic612yes—
462C3×D4C2×Dic612yescomplemented
463C3×D4C2×Dic612yescomplemented
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—122no—
474C2×C3×C4—122no—
475C2×C3×C4—122no—
476C2×C3×C4—241no—
477C2×C3×C4C23×D311yescharacteristic
478C2×C3×C4C23×D311yescharacteristic
479C2×Dic3—21no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—21no—
483C2×Dic3—31no—
484C2×Dic3—31no—
485C2×Dic3—31no—
486C2×Dic3—31no—
487C2×Dic3—42no—
488C2×Dic3—42no—
489C2×Dic3—42no—
490C2×Dic3—61no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—81no—
497C2×Dic3—121no—
498C2×Dic3—121no—
499C2×Dic3—122no—
500C2×Dic3—122no—
501C2×Dic3—242no—
502C2×Dic3—241no—
503C2×Dic3—241no—
504C2×Dic3—242no—
505C2×Dic3D3×D411yescharacteristic
506C2×Dic3D3×D411yescharacteristic
507C2×Dic3D3×D411yescharacteristic
508C2×Dic3D3×D411yescharacteristic
509Dic6—62no—
510Dic6—62no—
511Dic6—122no—
512Dic6—122no—
513Dic6—122no—
514Dic6—122no—
515Dic6—122no—
516Dic6—122no—
517Dic6—241no—
518Dic6—241no—
519C3×C8—22no—
520C3×C8—61no—
521C3×C8—61no—
522C3×C8C2×Dic612yescomplemented
523C3×C8C2×Dic612yescomplemented
524C3⋊C8—21no—
525C3⋊C8—21no—
526C3⋊C8—61no—
527C3⋊C8—61no—
528C3⋊C8—121no—
529C2×C32—42no—
530C2×C32—42no—
531C2×C32D4×Q811yescharacteristic
532C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
533C2×C32#57711yescharacteristic
534C2×Q8—91no—
535C2×Q8—181no—
536C2×Q8—181no—
537C2×Q8—181no—
538C2×Q8—181no—
539C2×Q8—364no—
540C2×D4C2×D3211yescharacteristic
541C2×D4C2×D3211yescharacteristic
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—61no—
545C22×C4—61no—
546C22×C4—181no—
547C22×C4—181no—
548D8#62714yescomplemented
549C2×C8—31no—
550C2×C8—31no—
551C2×C8—91no—
552C2×C8C2×D3211yescharacteristic
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—31no—
557C4⋊C4—91no—
558C4⋊C4—91no—
559C4⋊C4—91no—
560C4⋊C4—91no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4—181no—
565C4⋊C4—181no—
566C4⋊C4—181no—
567C4⋊C4—181no—
568C4⋊C4—181no—
569C4⋊C4—181no—
570C22⋊C4—61no—
571C22⋊C4—61no—
572C22⋊C4—61no—
573C22⋊C4—61no—
574C22⋊C4—181no—
575C22⋊C4—181no—
576C42—31no—
577C42—31no—
578C42—91no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—22no—
583C22×C3—21no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—81no—
595C22×C3—81no—
596C22×C3—81no—
597C22×C3—81no—
598C22×C3C2×D3×D411yescharacteristic
599C22×C3C2×D3×D411yescharacteristic
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—32no—
603C3×C4—61no—
604C3×C4—61no—
605C3×C4—61no—
606C3×C4—121no—
607C3×C4—121no—
608C3×C4—121no—
609C3×C4—121no—
610C3×C4C22×Dic611yescharacteristic
611C3×C4C22×Dic611yescharacteristic
612C3×C4#101011yescharacteristic
613C3×C4#101011yescharacteristic
614Dic3—21no—
615Dic3—21no—
616Dic3—21no—
617Dic3—41no—
618Dic3—41no—
619Dic3—41no—
620Dic3—41no—
621Dic3—61no—
622Dic3—61no—
623Dic3—61no—
624Dic3—61no—
625Dic3—121no—
626Dic3—121no—
627Dic3—121no—
628Dic3—121no—
629Dic3—121no—
630Dic3—121no—
631Dic3—241no—
632Dic3—241no—
633Dic3#91112yes—
634C32#338411yescharacteristic, complemented, Sylow
635C23—21no—
636C23—21no—
637Q8—182no—
638Q8—362no—
639Q8—362no—
640Q8—362no—
641Q8—721no—
642D4—21no—
643D4—21no—
644D4C2×#62712yes—
645D4C2×#62712yescomplemented
646C2×C4—31no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—91no—
655C2×C4—91no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—181no—
660C2×C4—181no—
661C2×C4—241no—
662C2×C4—362no—
663C2×C4—721no—
664C2×C4C22×D3211yescharacteristic
665C8—61no—
666C8—61no—
667C8—181no—
668C8C2×#62712yescomplemented
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—42no—
673C2×C3—42no—
674C2×C3—42no—
675C2×C3—42no—
676C2×C3—82no—
677C2×C3—82no—
678C2×C3D4×Dic611yescharacteristic
679C2×C3D4×Dic611yescharacteristic
680C2×C3C2×#91111yescharacteristic
681C2×C3#577011yescharacteristic
682C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
683C2×C3#577511yescharacteristic
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22D32×D411yescharacteristic
691C4—32no—
692C4—61no—
693C4—61no—
694C4—61no—
695C4—121no—
696C4—121no—
697C4—121no—
698C4—121no—
699C4—181no—
700C4—181no—
701C4—361no—
702C4—361no—
703C4#6430911yescharacteristic
704C4C22×#62711yescharacteristic
705C3—21no—
706C3#7957611yescharacteristic, complemented
707C3#7985511yescharacteristic, complemented
708C2—42no—
709C2—42no—
710C2D3×#91111yescharacteristic
711C2#1059473611yescharacteristic
712C2D4×#62711yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
Fitting, prime radicalC2×C32×D8C22
socleC22×C32C22×D4
hypercenterC2×D8D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D8

Complements

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

NH ≅ G/Ntype
1. #10595272C2semidirect
2. D4×#627C2semidirect
6. #10591495C2semidirect
7. #10591479C2semidirect
8. #10591410C2semidirect
9. #10591409C2semidirect
10. #10591408C2semidirect
11. #10591408C2semidirect
12. #10590903C2semidirect
13. #10590894C2semidirect
14. #10590889C2semidirect
15. #10590784C2semidirect
106. C32×D8Q8semidirect
236. C32×D4C2×Q8semidirect
261. C32×C8C2×Q8semidirect
313. C3×D8Dic6semidirect
314. C3×D8Dic6semidirect
462. C3×D4C2×Dic6semidirect
463. C3×D4C2×Dic6semidirect
522. C3×C8C2×Dic6semidirect
523. C3×C8C2×Dic6semidirect
548. D8#627semidirect
634. C32#3384semidirect
645. D4C2×#627semidirect
668. C8C2×#627semidirect
706. C3#79576semidirect
707. C3#79855semidirect

Maximal subgroups

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

subgroupindex
#105952722
D4×#6272
#105928512
C3×#51522
C3×Dic3×D82
#105914952
#105914792
#105914102
#105914092
#105914082
#105909032
#105908942
#105908892
#105907842
#798553
#795763