Finite Group Databasebeta

← #10764042

Subgroups — #10764042

Order 768.

990 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86261C211yesmaximal, characteristic
2#79340C211yesmaximal, characteristic, complemented
3#79015C211yesmaximal, characteristic, complemented
4C3×#1552C211yesmaximal, characteristic, complemented
5#71831C211yesmaximal, characteristic, complemented
6#70818C211yesmaximal, characteristic, complemented
7C2×#4485C211yesmaximal, characteristic, complemented
8#68429C211yesmaximal, characteristic, complemented
9#68429C211yesmaximal, characteristic, complemented
10#68426C211yesmaximal, characteristic, complemented
11#68426C211yesmaximal, characteristic, complemented
12#68421C211yesmaximal, characteristic, complemented
13#68421C211yesmaximal, characteristic, complemented
14#68417C211yesmaximal, characteristic, complemented
15#68417C211yesmaximal, characteristic, complemented
16#17771—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18#5725C2211yescharacteristic
19#5725C2211yescharacteristic
20#5725C2211yescharacteristic
21#5725C2211yescharacteristic
22#5697C412yes—
23#5697C412yes—
24#5630—21no—
25#5630—21no—
26#5630—21no—
27#5630—21no—
28#5585—21no—
29#5585—21no—
30#5577—21no—
31#5577—21no—
32#5525C412yes—
33#5521C412yes—
34C2×#874C2211yescharacteristic
35C4×#235C2211yescharacteristic
36C3×#432C2211yescharacteristic
37C2×C3×C4⋊C8C2211yescharacteristic
38#5111—21no—
39C8×#67—21no—
40#4926C2211yescharacteristic
41C2×C4⋊(C3⋊C8)C2211yescharacteristic
42#4837C2211yescharacteristic, complemented
43#4837C2211yescharacteristic, complemented
44#4836—21no—
45#4835C2211yescharacteristic, complemented
46#4835C2211yescharacteristic, complemented
47#4833C2211yescharacteristic, complemented
48#4833C2211yescharacteristic, complemented
49D3×C4⋊C8C2211yescharacteristic, complemented
50D3×C4⋊C8C2211yescharacteristic, complemented
51#4828—21no—
52#4730—21no—
53#67⋊C8—21no—
54#4706—21no—
55#4701—21no—
56C3×#332C2211yescharacteristic, complemented
57C3×#332C2211yescharacteristic, complemented
58C3×#332C2211yescharacteristic, complemented
59C3×#332C2211yescharacteristic, complemented
60#4547C2211yescharacteristic, complemented
61#4547C2211yescharacteristic, complemented
62#4547C2211yescharacteristic, complemented
63#4547C2211yescharacteristic, complemented
64#4485C2211yescharacteristic
65#4485C2211yescharacteristic
66#4485C2211yescharacteristic
67#4485C2211yescharacteristic
68#4485C2211yescharacteristic
69#4485C2211yescharacteristic
70#4485C2211yescharacteristic
71#4485C2211yescharacteristic
72#3508—31no—
73#2990—31no—
74#2990—31no—
75#1557—31no—
76#1557—31no—
77#1555—31no—
78#1553—31no—
79#1553—31no—
80#1552—31no—
81#1552D311yescharacteristic, complemented
82#1547—31no—
83#1547—31no—
84#1540—31no—
85#1540—31no—
86C2×#331—31no—
87C2×#239—21no—
88C2×#239—21no—
89C2×#239—21no—
90C2×#239—21no—
91C2×#235C2×C411yescharacteristic
92C22×D12—21no—
93C22×D12—21no—
94C22×D12C2×C412yes—
95C22×C3×C8—21no—
96C3×C4⋊Q8C2311yescharacteristic
97C3×C4⋊Q8C2311yescharacteristic
98C3×#125C2×C412yes—
99C3×C22⋊Q8—21no—
100C3×C22⋊Q8—21no—
101C3×C4×Q8—21no—
102C3×C4×Q8—21no—
103C3×#117C2×C412yes—
104C2×C3×C42C2311yescharacteristic
105#947—21no—
106#947—21no—
107#947—21no—
108#947—21no—
109C4×#67D411yescharacteristic
110C4×#67D411yescharacteristic
111C4×#67D411yescharacteristic
112C4×#67D411yescharacteristic
113#926C2×C411yescharacteristic
114C22×C3⋊C8—21no—
115C2×ΓL(1,𝔽25)—21no—
116C2×ΓL(1,𝔽25)—21no—
117C2×D3×C8—21no—
118C2×D3×C8—21no—
119#895—21no—
120#895—21no—
121#895—21no—
122#895—21no—
123#895—22no—
124#895—22no—
125#895—22no—
126#895—22no—
127#895C2×C412yes—
128#895C2×C412yes—
129#895C2×C412yes—
130#895C2×C412yes—
131#894—22no—
132#894—22no—
133#894—22no—
134#894—22no—
135#893—21no—
136#893—21no—
137#893—21no—
138#893—21no—
139#893C2×C412yes—
140#893C2×C412yes—
141#893C2×C412yes—
142#893C2×C412yes—
143#882—22no—
144#882—22no—
145D3×C22⋊C4—22no—
146D3×C22⋊C4—22no—
147#875—22no—
148#874—22no—
149#874—21no—
150#874—21no—
151#874C2×C412yes—
152#874C2311yescharacteristic
153#874C2311yescharacteristic
154C4×D12—22no—
155C4×D12—22no—
156C4×D12D411yescharacteristic
157C4×D12D411yescharacteristic
158#872C2×C411yescharacteristic
159#872C2×C411yescharacteristic
160C42×D3C2311yescharacteristic
161C42×D3C2311yescharacteristic
162C4×Dic6D411yescharacteristic
163C4×Dic6D411yescharacteristic
164C3×C4⋊C8—21no—
165C3×C4⋊C8C2311yescharacteristic
166C3×C4⋊C8C2311yescharacteristic
167C3×C4⋊C8C2311yescharacteristic
168C3×C4⋊C8C2311yescharacteristic
169C3×C22⋊C8—21no—
170C3×#97—21no—
171#830—21no—
172(C2×D3)⋊C8—21no—
173(C2×D3)⋊C8—21no—
174(C2×D3)⋊C8—21no—
175(C2×D3)⋊C8—21no—
176#815—21no—
177#815—21no—
178Dic3⋊C8—21no—
179Dic3⋊C8—21no—
180Dic3⋊C8—21no—
181Dic3⋊C8—21no—
182C8×Dic3—21no—
183C8×Dic3—21no—
184C4⋊(C3⋊C8)—21no—
185C4⋊(C3⋊C8)C2311yescharacteristic
186C4⋊(C3⋊C8)C2311yescharacteristic
187C4⋊(C3⋊C8)C2311yescharacteristic
188C4⋊(C3⋊C8)C2311yescharacteristic
189#803—21no—
190#559—61no—
191#559—61no—
192#550—61no—
193#550—61no—
194#546—61no—
195#546—61no—
196#546—61no—
197#546—61no—
198#540—32no—
199#540—32no—
200#535—32no—
201#533C2×D311yescharacteristic
202#532—31no—
203#532—31no—
204#532—31no—
205#532—31no—
206C2×#127—31no—
207#518—32no—
208C4×#41—31no—
209#446—61no—
210#446—61no—
211#435—61no—
212#435—61no—
213#435—61no—
214#435—61no—
215C8×D4—61no—
216C8×D4—61no—
217#432—31no—
218#432—31no—
219#432—31no—
220#432C2×D311yescharacteristic
221#431—31no—
222#431—31no—
223#423—31no—
224#423—31no—
225C2×C4⋊C8—31no—
226C2×C4⋊C8—31no—
227C2×C4⋊C8—31no—
228C2×C4⋊C8C2×D311yescharacteristic
229#332—31no—
230#332—31no—
231#332—31no—
232#332—31no—
233#332C2×D311yescharacteristic, complemented
234#332C2×D311yescharacteristic, complemented
235#332C2×D311yescharacteristic, complemented
236#332C2×D311yescharacteristic, complemented
237#331—31no—
238#331—31no—
239#331—31no—
240#331—31no—
241#331—31no—
242#331—31no—
243#331—31no—
244#331—31no—
245C23×D3—22no—
246C2×C3×Q8—21no—
247C2×C3×Q8—21no—
248C22×C3×C4C22×C411yescharacteristic
249C22×C3×C4C2×D411yescharacteristic
250C22×C3×C4C2×D411yescharacteristic
251C2×#67C22⋊C411yescharacteristic
252C2×#67C22⋊C411yescharacteristic
253#239—81no—
254#239—81no—
255#239—81no—
256#239—81no—
257#239—81no—
258#239—81no—
259#239—81no—
260#239—81no—
261#235—42no—
262C2×D12—22no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—22no—
268C2×D12—22no—
269C2×D12—22no—
270C2×D12—22no—
271C2×D12—22no—
272C2×D12—22no—
273C2×D12—44no—
274C2×D12—81no—
275C2×D12—81no—
276C2×D12—81no—
277C2×D12—81no—
278C2×D12C22⋊C411yescharacteristic
279C2×D12C22×C412yes—
280C2×D12C22×C412yes—
281C2×C4×D3—22no—
282C2×C4×D3—22no—
283C2×C4×D3—22no—
284C2×C4×D3—22no—
285C2×C4×D3C22×C411yescharacteristic
286C2×C4×D3C22×C411yescharacteristic
287C2×C4×D3C2×D411yescharacteristic
288C2×C4×D3C2×D411yescharacteristic
289C2×C4×D3C2×D411yescharacteristic
290C2×C4×D3C2×D411yescharacteristic
291C2×Dic6C22⋊C411yescharacteristic
292C2×C3×C8—21no—
293C2×C3×C8—21no—
294C2×C3×C8—21no—
295C2×C3×C8—21no—
296C2×C3×C8—81no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—21no—
300C3×C4⋊C4—21no—
301C3×C4⋊C4C22×C412yes—
302C3×C4⋊C4C22×C412yes—
303C3×C22⋊C4—22no—
304C3×C42—22no—
305C3×C42C22×C411yescharacteristic
306C3×C42C2×D411yescharacteristic
307C3×C42C2×D411yescharacteristic
308C3×C42C2411yescharacteristic
309#217C22⋊C411yescharacteristic
310#217C22⋊C411yescharacteristic
311(C2×D3)⋊C4—22no—
312(C2×D3)⋊C4—22no—
313(C2×D3)⋊C4—22no—
314(C2×D3)⋊C4—22no—
315(C2×D3)⋊C4—22no—
316(C2×D3)⋊C4—22no—
317(C2×D3)⋊C4—22no—
318(C2×D3)⋊C4—22no—
319(C2×D3)⋊C4C22⋊C411yescharacteristic
320(C2×D3)⋊C4C22⋊C411yescharacteristic
321(C2×D3)⋊C4C22⋊C411yescharacteristic
322(C2×D3)⋊C4C22⋊C411yescharacteristic
323C4⋊Dic3C22⋊C411yescharacteristic
324C4⋊Dic3C22⋊C411yescharacteristic
325Dic3⋊C4C22⋊C411yescharacteristic
326Dic3⋊C4C22⋊C411yescharacteristic
327Dic3⋊C4C22⋊C411yescharacteristic
328Dic3⋊C4C22⋊C411yescharacteristic
329C4×Dic3C22×C411yescharacteristic
330C4×Dic3C22×C411yescharacteristic
331C4×Dic3C2×D411yescharacteristic
332C4×Dic3C2×D411yescharacteristic
333C4×Dic3C2×D411yescharacteristic
334C4×Dic3C2×D411yescharacteristic
335C2×C3⋊C8—21no—
336C2×C3⋊C8—21no—
337C2×C3⋊C8—21no—
338C2×C3⋊C8—21no—
339C2×C3⋊C8—81no—
340ΓL(1,𝔽25)—81no—
341ΓL(1,𝔽25)—81no—
342D3×C8—81no—
343D3×C8—81no—
344C2×#41—31no—
345C2×#41—61no—
346C2×#41—61no—
347C2×#41—61no—
348C2×#41—61no—
349C22×D4—32no—
350C22×D4—61no—
351C22×D4—61no—
352C2×M16—61no—
353C2×M16—61no—
354C22×C8—21no—
355C22×C8—61no—
356C22×C8—61no—
357C22×C8—61no—
358C4⋊Q8C22×D311yescharacteristic
359C4⋊Q8C22×D311yescharacteristic
360#127—32no—
361#127—31no—
362#127—31no—
363#127—62no—
364#127—61no—
365#127—61no—
366#125C4×D312yes—
367#124—62no—
368#124—61no—
369#124—61no—
370#124—61no—
371#124—61no—
372#123—62no—
373#123—62no—
374#123—62no—
375#123—62no—
376C22⋊Q8—21no—
377C22⋊Q8—21no—
378#121—32no—
379#121—32no—
380#121—32no—
381#121—32no—
382#121—62no—
383#121—62no—
384#121—62no—
385#121—62no—
386#121—61no—
387#121—61no—
388#121—61no—
389#121—61no—
390#120—62no—
391#120—62no—
392C4×Q8—21no—
393C4×Q8—21no—
394C4×Q8—31no—
395C4×Q8—31no—
396C4×D4—31no—
397C4×D4—31no—
398C4×D4—31no—
399C4×D4—31no—
400C4×D4—32no—
401C4×D4—32no—
402C4×D4—32no—
403C4×D4—32no—
404C4×D4—31no—
405C4×D4—31no—
406C4×D4—62no—
407C4×D4—62no—
408C4×D4—61no—
409C4×D4—61no—
410C4×D4—61no—
411C4×D4—61no—
412#117—31no—
413#117—31no—
414#117—31no—
415#117C4×D312yes—
416C2×C22⋊C4—62no—
417C2×C22⋊C4—62no—
418C2×C42—31no—
419C2×C42—31no—
420C2×C42C22×D311yescharacteristic
421C4⋊C8—21no—
422C4⋊C8—31no—
423C4⋊C8—31no—
424C4⋊C8—31no—
425C4⋊C8—31no—
426C4⋊C8—61no—
427C4⋊C8—61no—
428C4⋊C8—61no—
429C4⋊C8—61no—
430C4⋊C8—61no—
431C4⋊C8C22×D311yescharacteristic
432C4⋊C8C22×D311yescharacteristic
433C4⋊C8C22×D311yescharacteristic
434C4⋊C8C22×D311yescharacteristic
435C22⋊C8—21no—
436C22⋊C8—61no—
437C22⋊C8—61no—
438C22⋊C8—61no—
439C22⋊C8—61no—
440C22⋊C8—61no—
441#97—21no—
442#97—61no—
443#97—61no—
444#97—61no—
445C4×C8—61no—
446C4×C8—61no—
447C23×C3C2×C22⋊C411yescharacteristic
448C22×D3—22no—
449C22×D3—22no—
450C22×D3—44no—
451C22×D3—82no—
452C22×D3—82no—
453C22×D3C2×C22⋊C411yescharacteristic
454C22×D3C2×C22⋊C411yescharacteristic
455C3×Q8—41no—
456C3×Q8—41no—
457C3×Q8—41no—
458C3×Q8—41no—
459C2×C3×C4—22no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4C2×C22⋊C411yescharacteristic
467C2×C3×C4C2×C22⋊C411yescharacteristic
468C2×C3×C4C2×C22⋊C411yescharacteristic
469C2×C3×C4C23×C411yescharacteristic
470C2×C3×C4C22×D411yescharacteristic
471C2×C3×C4C22×D411yescharacteristic
472#67—22no—
473#67—22no—
474C2×Dic3C2×C22⋊C411yescharacteristic
475C2×Dic3C2×C22⋊C411yescharacteristic
476C2×Dic3C2×C22⋊C411yescharacteristic
477C2×Dic3C2×C22⋊C411yescharacteristic
478C2×Dic3C2×C22⋊C411yescharacteristic
479C2×Dic3C2×C22⋊C411yescharacteristic
480D12—41no—
481D12—42no—
482D12—42no—
483D12—44no—
484D12—41no—
485D12—41no—
486D12—41no—
487D12—41no—
488D12—41no—
489D12—41no—
490D12—41no—
491D12—41no—
492D12—82no—
493D12—82no—
494D12—82no—
495D12—82no—
496D12—82no—
497D12—82no—
498C4×D3—21no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—21no—
502C4×D3—21no—
503C4×D3—21no—
504C4×D3—21no—
505C4×D3—21no—
506C4×D3—41no—
507C4×D3—41no—
508C4×D3—82no—
509C4×D3—82no—
510C4×D3—82no—
511C4×D3—82no—
512Dic6—41no—
513C3×C8—41no—
514C3×C8—41no—
515C3×C8—41no—
516C3×C8—41no—
517C3⋊C8—41no—
518C3⋊C8—41no—
519C3⋊C8—41no—
520C3⋊C8—41no—
521C24—62no—
522#41—122no—
523#41—241no—
524#41—241no—
525#41—241no—
526#41—241no—
527#41—241no—
528#41—241no—
529#41—241no—
530#41—241no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—31no—
534C2×D4—31no—
535C2×D4—31no—
536C2×D4—31no—
537C2×D4—32no—
538C2×D4—32no—
539C2×D4—62no—
540C2×D4—62no—
541C2×D4—62no—
542C2×D4—62no—
543C2×D4—62no—
544C2×D4—62no—
545C2×D4—62no—
546C2×D4—61no—
547C2×D4—61no—
548C2×D4—61no—
549C2×D4—61no—
550C2×D4—124no—
551C2×D4—241no—
552C2×D4—241no—
553C2×D4—241no—
554C2×D4—241no—
555C22×C4—31no—
556C22×C4—31no—
557C22×C4—31no—
558C22×C4—31no—
559C22×C4—31no—
560C22×C4—31no—
561C22×C4—62no—
562C22×C4—62no—
563C22×C4—62no—
564C22×C4—62no—
565C22×C4C2×C4×D311yescharacteristic
566C22×C4D3×D411yescharacteristic
567C22×C4D3×D411yescharacteristic
568M16—241no—
569M16—241no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—61no—
575C2×C8—61no—
576C2×C8—61no—
577C2×C8—61no—
578C2×C8—81no—
579C2×C8—241no—
580C2×C8—241no—
581C2×C8—241no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4C2×C4×D312yes—
593C4⋊C4C2×C4×D312yes—
594C22⋊C4—22no—
595C22⋊C4—31no—
596C22⋊C4—31no—
597C22⋊C4—31no—
598C22⋊C4—31no—
599C22⋊C4—31no—
600C22⋊C4—31no—
601C22⋊C4—62no—
602C22⋊C4—62no—
603C22⋊C4—62no—
604C22⋊C4—62no—
605C22⋊C4—62no—
606C22⋊C4—62no—
607C22⋊C4—62no—
608C22⋊C4—62no—
609C42—22no—
610C42—31no—
611C42—31no—
612C42—31no—
613C42—31no—
614C42—31no—
615C42—31no—
616C42C2×C4×D311yescharacteristic
617C42D3×D411yescharacteristic
618C42D3×D411yescharacteristic
619C42C23×D311yescharacteristic
620C22×C3—21no—
621C22×C3—21no—
622C22×C3#41312yes—
623C22×C3C22×C22⋊C411yescharacteristic
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—42no—
631C2×D3—42no—
632C2×D3—42no—
633C2×D3—42no—
634C2×D3—42no—
635C2×D3—42no—
636C2×D3—164no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—42no—
642C3×C4—42no—
643C3×C4#57611yescharacteristic
644C3×C4#57611yescharacteristic
645C3×C4#57711yescharacteristic
646C3×C4#57711yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—21no—
652Dic3—21no—
653C23—31no—
654C23—31no—
655C23—62no—
656C23—62no—
657C23—124no—
658C23—242no—
659C23—242no—
660C23D3×C22⋊C411yescharacteristic
661Q8—41no—
662Q8—41no—
663Q8—41no—
664Q8—41no—
665Q8—121no—
666D4—62no—
667D4—62no—
668D4—121no—
669D4—122no—
670D4—122no—
671D4—124no—
672D4—121no—
673D4—121no—
674D4—121no—
675D4—121no—
676D4—121no—
677D4—121no—
678D4—121no—
679D4—121no—
680D4—242no—
681D4—242no—
682D4—242no—
683D4—242no—
684D4—242no—
685D4—242no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—121no—
708C2×C4—121no—
709C2×C4—242no—
710C2×C4—242no—
711C2×C4—242no—
712C2×C4—242no—
713C2×C4D3×C22⋊C411yescharacteristic
714C2×C4D3×C22⋊C411yescharacteristic
715C2×C4D3×C22⋊C411yescharacteristic
716C2×C4C22×C4×D311yescharacteristic
717C2×C4C2×D3×D411yescharacteristic
718C2×C4C2×D3×D411yescharacteristic
719C8—41no—
720C8—41no—
721C8—41no—
722C8—41no—
723C8—121no—
724C8—121no—
725C8—121no—
726C8—121no—
727C2×C3—22no—
728C2×C3C2×#41311yescharacteristic
729C2×C3#289711yescharacteristic
730C2×C3#289711yescharacteristic
731D3—41no—
732D3—41no—
733D3—82no—
734D3—82no—
735C22—21no—
736C22—21no—
737C22—61no—
738C22—61no—
739C22—61no—
740C22—61no—
741C22—61no—
742C22—61no—
743C22—122no—
744C22—122no—
745C22—122no—
746C22—122no—
747C22—122no—
748C22—122no—
749C22—484no—
750C22#475112yes—
751C22C2×D3×C22⋊C411yescharacteristic
752C4—21no—
753C4—21no—
754C4—21no—
755C4—21no—
756C4—42no—
757C4—42no—
758C4—61no—
759C4—61no—
760C4—61no—
761C4—61no—
762C4—61no—
763C4—61no—
764C4#576911yescharacteristic
765C4#577011yescharacteristic
766C4#577411yescharacteristic
767C4#577811yescharacteristic
768C3#1777111yescharacteristic, complemented, Sylow
769C2—22no—
770C2—121no—
771C2—121no—
772C2—242no—
773C2—242no—
774C2C2×#475111yescharacteristic
775C2#7883111yescharacteristic
776C2#7888211yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC2×C3×C4C23×C4
FrattiniC42C23×D3
FittingC3×#1552C2
socleC22×C3C22×C22⋊C4
prime radical#86261C2
cosocleC3×C42C24
hypercenter#1552D3
hypocenterC3#17771
LCSG ▷ C2×C3×C4 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1552

Complements

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

NH ≅ G/Ntype
2. #79340C2semidirect
3. #79015C2semidirect
4. C3×#1552C2semidirect
5. #71831C2semidirect
6. #70818C2semidirect
7. C2×#4485C2semidirect
8. #68429C2semidirect
9. #68429C2semidirect
10. #68426C2semidirect
11. #68426C2semidirect
12. #68421C2semidirect
13. #68421C2semidirect
14. #68417C2semidirect
15. #68417C2semidirect
42. #4837C22semidirect
43. #4837C22semidirect
45. #4835C22semidirect
46. #4835C22semidirect
47. #4833C22semidirect
48. #4833C22semidirect
49. D3×C4⋊C8C22semidirect
50. D3×C4⋊C8C22semidirect
56. C3×#332C22semidirect
57. C3×#332C22semidirect
58. C3×#332C22semidirect
59. C3×#332C22semidirect
60. #4547C22semidirect
61. #4547C22semidirect
62. #4547C22semidirect
63. #4547C22semidirect
81. #1552D3semidirect
233. #332C2×D3semidirect
234. #332C2×D3semidirect
235. #332C2×D3semidirect
236. #332C2×D3semidirect
768. C3#17771semidirect

Maximal subgroups

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

subgroupindex
#862612
#793402
#790152
C3×#15522
#718312
#708182
C2×#44852
#684292
#684262
#684212
#684172
#177713