Finite Group Databasebeta

← #11895428

Subgroups — #11895428

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#627C211yesmaximal, characteristic, complemented
2#10595143C211yesmaximal, characteristic
3#10592862C211yesmaximal, characteristic, complemented
4C3×#5163C211yesmaximal, characteristic, complemented
5C3×Dic3×SD16C211yesmaximal, characteristic, complemented
6#10591617C211yesmaximal, characteristic, complemented
7#10591571C211yesmaximal, characteristic, complemented
8#10591536C211yesmaximal, characteristic, complemented
9#10591487C211yesmaximal, characteristic, complemented
10#10591408C211yesmaximal, characteristic, complemented
11#10591402C211yesmaximal, characteristic, complemented
12#10590878C211yesmaximal, characteristic, complemented
13#10590776C211yesmaximal, characteristic, complemented
14#10590759C211yesmaximal, characteristic, complemented
15#10590644C211yesmaximal, characteristic, complemented
16#80369—31nomaximal
17#79622—31nomaximal
18C2×#3804—21no—
19C2×C32×SD16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3755C2211yescharacteristic
22#64149C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#940C2211yescharacteristic
27C3×D4×Dic3C2211yescharacteristic
28#63978—21no—
29#63971—21no—
30#63958—21no—
31#63919—21no—
32#63919C2211yescharacteristic
33#63918—21no—
34#63918—21no—
35#63918C2211yescharacteristic
36#63918C2211yescharacteristic
37C4×#627—21no—
38C4×#627C2211yescharacteristic
39#63911C2211yescharacteristic
40#63898C2211yescharacteristic
41#63894C2211yescharacteristic
42#63659C2211yescharacteristic
43#63648C2211yescharacteristic
44#63641C2211yescharacteristic
45C3×#835C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52#63574C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63553C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5718—31no—
62Q8×Dic6—31no—
63Q8×Dic6—31no—
64#5553—31no—
65C3×#460—31no—
66C3×C4×SD16—31no—
67#5163—31no—
68#5163—31no—
69#5163—31no—
70#5163—61no—
71#5163D311yescharacteristic, complemented
72Dic3×SD16—31no—
73Dic3×SD16D311yescharacteristic, complemented
74#5070—31no—
75#5027—31no—
76C4×#215—31no—
77#5008—31no—
78#4870—31no—
79#4870—31no—
80#4842—31no—
81#4830—31no—
82#4788—31no—
83#4788—31no—
84#4761—31no—
85#4761—31no—
86#4760—31no—
87#4760—31no—
88#4760—31no—
89#4760—31no—
90#4694—31no—
91C8×Dic6—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×#638—21no—
95C2×#638—21no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C3×#67—21no—
98C2×C3×#67—21no—
99C22×C3×Dic3—21no—
100C2×C3×D12C2311yescharacteristic
101C2×#627—21no—
102C2×#627—21no—
103C2×#627—21no—
104C2×#627D411yescharacteristic
105C2×#626—21no—
106C2×#626—21no—
107C2×#624—21no—
108#3804—44no—
109C2×D3×Dic3—21no—
110C32×SD16—22no—
111C2×C32×C8C2311yescharacteristic
112#3755—22no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#217—21no—
119C3×#215—22no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724D411yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137#3722—21no—
138(C2×D3)⋊Dic3—21no—
139#3362—91noSylow
140C2×#237—61no—
141C2×#235—61no—
142C2×C3×SD16—21no—
143C2×C3×SD16—31no—
144C2×C3×SD16C2×D311yescharacteristic
145C2×C3×SD16C2×D311yescharacteristic
146C3×#127—31no—
147C3×C4×Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—61no—
153Q8×Dic3C2×D311yescharacteristic
154Q8×Dic3C2×D311yescharacteristic
155C2×#215—31no—
156C2×#215—31no—
157C2×#215—61no—
158C2×#215C2×D311yescharacteristic
159#940—31no—
160#940—31no—
161#940—31no—
162#940—61no—
163#940C2×D311yescharacteristic
164#939—61no—
165#939—61no—
166#938—61no—
167D4×Dic3—31no—
168D4×Dic3C2×D311yescharacteristic
169#930—61no—
170#893—31no—
171#893—31no—
172#888—31no—
173#888—31no—
174#888—31no—
175#888—31no—
176#888—61no—
177#888—61no—
178#888—61no—
179#888—61no—
180#884—61no—
181#884—61no—
182#874—31no—
183C4×D12—31no—
184#869—31no—
185#869—31no—
186#869—61no—
187#869—61no—
188C4×Dic6—31no—
189C4×Dic6—31no—
190C4×Dic6—61no—
191C4×Dic6—61no—
192C3×#106—31no—
193C3×C4⋊C8—31no—
194C3×#103—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×C4×C8—31no—
199#835C2×D311yescharacteristic
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—61no—
205#832C2×D311yescharacteristic
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821C2×D311yescharacteristic
214#817—31no—
215#817C2×D311yescharacteristic
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—61no—
220Dic3⋊C8C2×D311yescharacteristic
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3C2×D311yescharacteristic
225#809—31no—
226#809—31no—
227#809—31no—
228#808—31no—
229#808—31no—
230#808—31no—
231C4⋊(C3⋊C8)—31no—
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C32×Q8—21no—
237C32×Q8#4112yescomplemented
238C32×D4—21no—
239C32×D4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242#638—42no—
243#638—81no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C3×#67—42no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261#627—81no—
262#627—81no—
263#627—81no—
264#627SD1614yescomplemented
265#626—42no—
266#626—81no—
267#624—42no—
268D3×Dic3—42no—
269C32×C8—21no—
270C3⋊(C3⋊C8)—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273Q82—91no—
274#550—91no—
275#486—91no—
276#486—91no—
277#486—91no—
278#476—91no—
279#476—91no—
280#476—91no—
281#460—31no—
282#460—91no—
283#460—91no—
284C8×Q8—91no—
285C4×SD16—31no—
286C4×SD16—91no—
287C4×SD16—91no—
288C2×C3×Q8—21no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×C3×D4C22×D311yescharacteristic
296C2×C3×D4C22×D311yescharacteristic
297C22×C3×C4—61no—
298C2×#67—21no—
299C2×#67—21no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—121no—
307C2×#67—121no—
308C22×Dic3—21no—
309C22×Dic3—61no—
310#237—124no—
311#235—124no—
312C2×D12—31no—
313C2×D12—31no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12C22×D311yescharacteristic
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×Dic6—31no—
322C2×Dic6—31no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6—61no—
329C3×SD16—22no—
330C3×SD16—22no—
331C3×SD16—42no—
332C3×SD16—62no—
333C2×C3×C8—21no—
334C2×C3×C8—31no—
335C2×C3×C8—31no—
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—31no—
346C3×C42—61no—
347C3×C42—61no—
348#217—21no—
349#217—61no—
350#215—22no—
351#215—62no—
352#215—62no—
353#215—122no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—121no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—121no—
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395C22×C32—41no—
396C22×C32—41no—
397C22×C32—41no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—22no—
406C32×C4C2×#4111yescharacteristic
407C32×C42−1+411yescharacteristic
408C3⋊Dic3—21no—
409C3⋊Dic3—41no—
410C3⋊Dic3C2×SD1612yes—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3C2×SD1612yes—
417C3×Dic3C2×SD1612yes—
418C2×#41—181no—
419C2×SD16—31no—
420C2×SD16—91no—
421C2×SD16D3211yescharacteristic
422C4⋊Q8—91no—
423C4⋊Q8—91no—
424C4⋊Q8—91no—
425C4⋊Q8—181no—
426C4⋊Q8—181no—
427C4⋊Q8—181no—
428#127—31no—
429#127—91no—
430#127—91no—
431#121—181no—
432#121—181no—
433#121—181no—
434C4×Q8—31no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×Q8—91no—
438C4×Q8—181no—
439C4×D4—31no—
440C4×D4—91no—
441C4×D4—91no—
442#106—31no—
443#106—91no—
444#106—91no—
445C4⋊C8—31no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448#103—31no—
449#102—31no—
450#102—31no—
451#102—31no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458C4×C8—31no—
459C4×C8—91no—
460C4×C8—91no—
461C23×C3—21no—
462C23×C3—21no—
463C23×C3—41no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—22no—
472C3×Q8—41no—
473C3×Q8#23512yescomplemented
474C3×Q8#23712yescomplemented
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—41no—
480C3×D4—41no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—122no—
484C3×D4—241no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—122no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—42no—
500#67—81no—
501#67—122no—
502#67—122no—
503#67—122no—
504#67—242no—
505#67—241no—
506#67—241no—
507#67—241no—
508#67—242no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—42no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—122no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527D12—21no—
528D12—21no—
529D12—61no—
530D12—61no—
531D12—61no—
532D12—61no—
533D12—121no—
534D12—121no—
535D12—122no—
536D12—241no—
537C4×D3—122no—
538C4×D3—122no—
539C4×D3—122no—
540Dic6—34no—
541Dic6—34no—
542Dic6—241no—
543Dic6—241no—
544Dic6—241no—
545Dic6—241no—
546Dic6—241no—
547Dic6—241no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—61no—
552C3×C8—61no—
553C3⋊C8—21no—
554C3⋊C8—21no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—121no—
558C2×C32—81no—
559C2×C32#54811yescharacteristic
560C2×C32C22×SD1611yescharacteristic
561C2×C32#57611yescharacteristic
562C3⋊D3—81no—
563C3×D3—81no—
564#41—364no—
565C2×Q8—91no—
566C2×Q8—181no—
567C2×Q8—181no—
568C2×Q8—181no—
569C2×Q8C2×D3211yescharacteristic
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—91no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4C2×D3211yescharacteristic
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582SD16—22no—
583SD16—62no—
584SD16—182no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8C2×D3211yescharacteristic
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C22⋊C4—61no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C42—31no—
606C42—31no—
607C42—61no—
608C42—61no—
609C42—91no—
610C42—181no—
611C22×C3—21no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—81no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3C2×D3×D411yescharacteristic
625C22×C3C2×D3×D411yescharacteristic
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—241no—
636C2×D3—241no—
637C2×D3—241no—
638C3×C4—22no—
639C3×C4—22no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—32no—
643C3×C4—32no—
644C3×C4—42no—
645C3×C4—61no—
646C3×C4—61no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23511yescharacteristic
651C3×C4C2×#23711yescharacteristic
652C3×C4#101011yescharacteristic
653C3×C4#101011yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—32no—
657Dic3—32no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—62no—
662Dic3—61no—
663Dic3—61no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—241no—
668Dic3D3×SD1612yes—
669Dic3D3×SD1612yes—
670C32#336211yescharacteristic, complemented, Sylow
671C23—21no—
672C23—61no—
673C23—181no—
674Q8—21no—
675Q8—94no—
676Q8—721no—
677Q8—721no—
678Q8—721no—
679Q8#380412yescomplemented
680D4—21no—
681D4—21no—
682D4—61no—
683D4—61no—
684D4—122no—
685D4—181no—
686D4—181no—
687D4—241no—
688D4—362no—
689D4—362no—
690D4—721no—
691D4—721no—
692C2×C4—21no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—122no—
703C2×C4—181no—
704C2×C4—362no—
705C2×C4—362no—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—61no—
709C8—61no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—81no—
715C2×C3—81no—
716C2×C3—161no—
717C2×C3—241no—
718C2×C3#555211yescharacteristic
719C2×C3#559811yescharacteristic
720C2×C3C2×D3×SD1611yescharacteristic
721C2×C3C2×D3×SD1611yescharacteristic
722C2×C3#576911yescharacteristic
723C2×C3#577411yescharacteristic
724D3—81no—
725D3—241no—
726D3—241no—
727D3—481no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—361no—
735C22—361no—
736C22—361no—
737C22D32×D411yescharacteristic
738C4—22no—
739C4—32no—
740C4—32no—
741C4—61no—
742C4—61no—
743C4—92no—
744C4—121no—
745C4—121no—
746C4—121no—
747C4—181no—
748C4—361no—
749C4#6430911yescharacteristic
750C4C2×#380411yescharacteristic
751C3—21no—
752C3#7962211yescharacteristic, complemented
753C3#8036911yescharacteristic, complemented
754C2—81no—
755C2—241no—
756C2—721no—
757C2D32×SD1611yescharacteristic
758C2#1059475511yescharacteristic
759C2#1059514111yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10595143C2
hypercenterC2×SD16D32
hypocenterC32#3362
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. Q8×#627C2semidirect
3. #10592862C2semidirect
4. C3×#5163C2semidirect
5. C3×Dic3×SD16C2semidirect
6. #10591617C2semidirect
7. #10591571C2semidirect
8. #10591536C2semidirect
9. #10591487C2semidirect
10. #10591408C2semidirect
11. #10591402C2semidirect
12. #10590878C2semidirect
13. #10590776C2semidirect
14. #10590759C2semidirect
15. #10590644C2semidirect
71. #5163D3semidirect
73. Dic3×SD16D3semidirect
237. C32×Q8#41semidirect
264. #627SD16semidirect
473. C3×Q8#235semidirect
474. C3×Q8#237semidirect
670. C32#3362semidirect
679. Q8#3804semidirect
752. C3#79622semidirect
753. C3#80369semidirect

Maximal subgroups

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

subgroupindex
Q8×#6272
#105951432
#105928622
C3×#51632
C3×Dic3×SD162
#105916172
#105915712
#105915362
#105914872
#105914082
#105914022
#105908782
#105907762
#105907592
#105906442
#803693
#796223