Finite Group Databasebeta

← #11895960

Subgroups — #11895960

Order 1152.

824 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595422C211yesmaximal, characteristic, complemented
2#10595144C211yesmaximal, characteristic
3#10592863C211yesmaximal, characteristic, complemented
4C3×#5163C211yesmaximal, characteristic, complemented
5C3×#5163C211yesmaximal, characteristic, complemented
6#10591622C211yesmaximal, characteristic, complemented
7#10591566C211yesmaximal, characteristic, complemented
8Dic3×#215C211yesmaximal, characteristic, complemented
9#10591487C211yesmaximal, characteristic, complemented
10#10591479C211yesmaximal, characteristic, complemented
11#10591477C211yesmaximal, characteristic, complemented
12#10590888C211yesmaximal, characteristic, complemented
13#10590767C211yesmaximal, characteristic, complemented
14#10590762C211yesmaximal, characteristic, complemented
15#10590646C211yesmaximal, characteristic, complemented
16#80372—31nomaximal
17#80371—31nomaximal
18C2×#3805—21no—
19C2×C32×SD16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#215C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C3×#940C2211yescharacteristic
27C3×#940C2211yescharacteristic
28#63980—21no—
29#63970—21no—
30#63970—21no—
31#63918—21no—
32#63918C2211yescharacteristic
33C4×#627—21no—
34C4×#627C2211yescharacteristic
35#63914C2211yescharacteristic
36Dic3×D12C2211yescharacteristic
37Dic3×D12C2211yescharacteristic
38#63872—21no—
39#63872C2211yescharacteristic
40#63869—21no—
41#63869C2211yescharacteristic
42#63662C2211yescharacteristic
43#63659C2211yescharacteristic
44#63645C2211yescharacteristic
45#63642C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52#63575C2211yescharacteristic
53#63573C2211yescharacteristic
54#63572C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5718—31no—
62#5718—31no—
63#5570—31no—
64#5569—31no—
65C3×#460—31no—
66C3×#460—31no—
67#5164—31no—
68#5164—31no—
69#5164—31no—
70#5164—61no—
71#5163—31no—
72#5163—31no—
73#5163D311yescharacteristic, complemented
74#5163D311yescharacteristic, complemented
75Dic3×SD16—31no—
76#5071—31no—
77#5070—31no—
78#5026—31no—
79C4×#215—31no—
80#4847—31no—
81#4846—31no—
82#4831—31no—
83#4828—31no—
84#4766—31no—
85#4766—31no—
86#4764—31no—
87#4764—31no—
88#4764—31no—
89#4763—31no—
90#4760—31no—
91#4759—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C2×C3×#67—21no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×#627—21no—
102C2×#627D411yescharacteristic
103C2×#625—21no—
104C2×#625—21no—
105#3805—44no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C32×SD16—22no—
109C2×C32×C8C2311yescharacteristic
110#3757—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—22no—
118C3×#215—22no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139#3368—91noSylow
140C2×#237—61no—
141C2×#237—61no—
142C2×C3×SD16—21no—
143C2×C3×SD16—31no—
144C2×C3×SD16—31no—
145C2×C3×SD16C2×D311yescharacteristic
146C2×C3×SD16C2×D311yescharacteristic
147C3×#127—31no—
148C3×#127—31no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—61no—
154Q8×Dic3C2×D311yescharacteristic
155Q8×Dic3C2×D311yescharacteristic
156C2×#215C2×D311yescharacteristic
157C2×#215C2×D311yescharacteristic
158#940—31no—
159#940—31no—
160#940C2×D311yescharacteristic
161#940C2×D311yescharacteristic
162#939—61no—
163#939—61no—
164#939—61no—
165#939—61no—
166#938—61no—
167#938—61no—
168D4×Dic3—31no—
169D4×Dic3—31no—
170D4×Dic3—31no—
171D4×Dic3—31no—
172D4×Dic3—61no—
173#890—31no—
174#890—31no—
175#890—31no—
176#890—61no—
177#890—61no—
178#890—61no—
179#888—31no—
180#888—61no—
181C4×D12—31no—
182C4×D12—31no—
183#870—31no—
184#870—61no—
185#869—31no—
186#869—61no—
187C4×Dic6—31no—
188C4×Dic6—31no—
189C4×Dic6—61no—
190C4×Dic6—61no—
191C3×C4⋊C8—31no—
192C3×C4⋊C8—31no—
193C3×#102—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197#835—31no—
198#835—31no—
199#835—61no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#832—61no—
207#832C2×D311yescharacteristic
208#832C2×D311yescharacteristic
209#821—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212#821C2×D311yescharacteristic
213#818—31no—
214#818—31no—
215#818—31no—
216#818—61no—
217#817—31no—
218#815—31no—
219#815—31no—
220#815—31no—
221#815—61no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic
225Dic3⋊C8C2×D311yescharacteristic
226C8×Dic3—31no—
227#809—31no—
228#809—31no—
229#808—31no—
230#807—31no—
231#803—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
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—42no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C3×#67—42no—
248C3×#67—42no—
249C3×#67—81no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261#627—22no—
262#627—42no—
263#625—42no—
264#625—81no—
265D3×Dic3—42no—
266D3×Dic3—42no—
267C32×C8—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—91no—
272#550—91no—
273#490—91no—
274#490—91no—
275#486—91no—
276#478—91no—
277#478—91no—
278#474—91no—
279#460—31no—
280#460—31no—
281#460—91no—
282#446—91no—
283#440—91no—
284#440—91no—
285C4×SD16—91no—
286C2×C3×Q8—21no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—21no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C2×#67—21no—
299C2×#67—21no—
300C2×#67—21no—
301C2×#67—21no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—121no—
311#237—124no—
312#237—124no—
313C2×D12C22×D311yescharacteristic
314C2×D12C22×D311yescharacteristic
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C3×SD16—24no—
322C3×SD16—22no—
323C3×SD16—22no—
324C3×SD16—62no—
325C3×SD16—62no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—61no—
338C3×C42—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—121no—
344#215—22no—
345#215—22no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348C4⋊Dic3—21no—
349C4⋊Dic3—21no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—121no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—31no—
368Dic3⋊C4—31no—
369Dic3⋊C4—31no—
370Dic3⋊C4—31no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377C4×Dic3—21no—
378C4×Dic3—21no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—121no—
385C4×Dic3C22×D311yescharacteristic
386C4×Dic3C22×D311yescharacteristic
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392C22×C32—41no—
393C22×C32—41no—
394C22×C32—41no—
395C22×C32C22×D411yescharacteristic
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C32×C4—22no—
403C32×C4C2×#4111yescharacteristic
404C32×C42−1+411yescharacteristic
405C3⋊Dic3—21no—
406C3⋊Dic3—21no—
407C3⋊Dic3—41no—
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3AGL(1,ℤ/8)12yes—
415C2×#41—181no—
416C2×SD16—31no—
417C2×SD16—31no—
418C2×SD16D3211yescharacteristic
419C4⋊Q8—91no—
420C4⋊Q8—181no—
421#127—31no—
422#127—31no—
423#127—91no—
424#125—91no—
425#125—91no—
426#125—181no—
427#125—181no—
428#121—181no—
429#121—181no—
430#121—181no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×Q8—181no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439#107—91no—
440#107—91no—
441#106—91no—
442C4⋊C8—31no—
443C4⋊C8—31no—
444C4⋊C8—91no—
445#103—91no—
446#102—31no—
447#102—31no—
448#102—31no—
449#102—31no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#97—91no—
456#97—91no—
457C4×C8—91no—
458C23×C3—21no—
459C23×C3—21no—
460C23×C3—41no—
461C23×C3—61no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—21no—
465C3×Q8—21no—
466C3×Q8—21no—
467C3×Q8—22no—
468C3×Q8—41no—
469C3×Q8#23712yescomplemented
470C3×Q8#23712yescomplemented
471C3×D4—22no—
472C3×D4—21no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—41no—
477C3×D4—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—122no—
482C3×D4—122no—
483C3×D4—241no—
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×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497#67—42no—
498#67—42no—
499#67—81no—
500#67—81no—
501#67—122no—
502#67—122no—
503#67—241no—
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—122no—
520C2×Dic3—122no—
521C2×Dic3—122no—
522C2×Dic3—122no—
523C2×Dic3—242no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527C2×Dic3D3×D411yescharacteristic
528D12—21no—
529D12—21no—
530D12—21no—
531D12—21no—
532C4×D3—122no—
533C4×D3—122no—
534Dic6—62no—
535Dic6—62no—
536Dic6—122no—
537Dic6—122no—
538C3×C8—22no—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C2×C32—81no—
549C2×C32#54811yescharacteristic
550C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
551C2×C32#57711yescharacteristic
552C3×D3—81no—
553C3×D3—81no—
554#41—364no—
555C2×Q8—91no—
556C2×Q8—181no—
557C2×Q8C2×D3211yescharacteristic
558C2×D4—31no—
559C2×D4—31no—
560C2×D4—61no—
561C2×D4—61no—
562C2×D4—61no—
563C2×D4—61no—
564C2×D4—181no—
565C2×D4—181no—
566C2×D4C2×D3211yescharacteristic
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570SD16—22no—
571SD16—62no—
572SD16—62no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8C2×D3211yescharacteristic
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C42—31no—
596C42—31no—
597C42—61no—
598C42—61no—
599C42—91no—
600C42—181no—
601C22×C3—21no—
602C22×C3—42no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—81no—
610C22×C3—81no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3C2×D3×D411yescharacteristic
618C22×C3C2×D3×D411yescharacteristic
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C3×C4—22no—
626C3×C4—22no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—32no—
630C3×C4—42no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23711yescharacteristic
637C3×C4C2×#23711yescharacteristic
638C3×C4#101011yescharacteristic
639C3×C4#101011yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—41no—
644Dic3—41no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—61no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—241no—
656Dic3—241no—
657Dic3#91412yes—
658C32#336811yescharacteristic, complemented, Sylow
659C23—21no—
660C23—61no—
661C23—61no—
662Q8—21no—
663Q8—182no—
664Q8—362no—
665Q8#380512yescomplemented
666D4—21no—
667D4—21no—
668D4—61no—
669D4—61no—
670D4—61no—
671D4—61no—
672D4—122no—
673D4—122no—
674D4—241no—
675D4—241no—
676D4—362no—
677D4—721no—
678C2×C4—21no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—91no—
686C2×C4—91no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—362no—
690C2×C4—362no—
691C2×C4—362no—
692C2×C4C22×D3211yescharacteristic
693C8—21no—
694C8—61no—
695C8—61no—
696C8—181no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—82no—
701C2×C3—81no—
702C2×C3—81no—
703C2×C3—241no—
704C2×C3—241no—
705C2×C3#559811yescharacteristic
706C2×C3#559811yescharacteristic
707C2×C3C2×#91411yescharacteristic
708C2×C3#576211yescharacteristic
709C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
710C2×C3#577511yescharacteristic
711D3—81no—
712D3—81no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22D32×D411yescharacteristic
723C4—22no—
724C4—32no—
725C4—61no—
726C4—61no—
727C4—61no—
728C4—121no—
729C4—121no—
730C4—181no—
731C4—181no—
732C4—361no—
733C4—361no—
734C4#6430911yescharacteristic
735C4C2×#380511yescharacteristic
736C3—21no—
737C3#8037111yescharacteristic, complemented
738C3#8037211yescharacteristic, complemented
739C2—81no—
740C2—241no—
741C2—241no—
742C2D3×#91411yescharacteristic
743C2#1059474911yescharacteristic
744C2#1059514211yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10595144C2
hypercenterC2×SD16D32
hypocenterC32#3368
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. #10595422C2semidirect
3. #10592863C2semidirect
4. C3×#5163C2semidirect
5. C3×#5163C2semidirect
6. #10591622C2semidirect
7. #10591566C2semidirect
8. Dic3×#215C2semidirect
9. #10591487C2semidirect
10. #10591479C2semidirect
11. #10591477C2semidirect
12. #10590888C2semidirect
13. #10590767C2semidirect
14. #10590762C2semidirect
15. #10590646C2semidirect
73. #5163D3semidirect
74. #5163D3semidirect
237. C32×Q8#41semidirect
469. C3×Q8#237semidirect
470. C3×Q8#237semidirect
658. C32#3368semidirect
665. Q8#3805semidirect
737. C3#80371semidirect
738. C3#80372semidirect

Maximal subgroups

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

subgroupindex
#105954222
#105951442
#105928632
C3×#51632
#105916222
#105915662
Dic3×#2152
#105914872
#105914792
#105914772
#105908882
#105907672
#105907622
#105906462
#803723
#803713