Finite Group Databasebeta

← #11003665

Subgroups — #11003665

Order 768.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2325C211yesmaximal, characteristic, complemented
2#82705C211yesmaximal, characteristic
3#82674C211yesmaximal, characteristic, complemented
4#82361C211yesmaximal, characteristic, complemented
5#82361C211yesmaximal, characteristic, complemented
6#82357C211yesmaximal, characteristic, complemented
7#82357C211yesmaximal, characteristic, complemented
8#75794C211yesmaximal, characteristic, complemented
9#75791C211yesmaximal, characteristic, complemented
10#75711C211yesmaximal, characteristic, complemented
11#75694C211yesmaximal, characteristic, complemented
12#75418C211yesmaximal, characteristic, complemented
13#75207C211yesmaximal, characteristic, complemented
14#75191C211yesmaximal, characteristic, complemented
15#75182C211yesmaximal, characteristic, complemented
16#74920C211yesmaximal, characteristic, complemented
17#74870C211yesmaximal, characteristic, complemented
18#74869C211yesmaximal, characteristic, complemented
19#74852C211yesmaximal, characteristic, complemented
20#74831C211yesmaximal, characteristic, complemented
21#74801C211yesmaximal, characteristic, complemented
22#74786C211yesmaximal, characteristic, complemented
23#74785C211yesmaximal, characteristic, complemented
24#74563C211yesmaximal, characteristic, complemented
25#74557C211yesmaximal, characteristic, complemented
26#74550C211yesmaximal, characteristic, complemented
27#74543C211yesmaximal, characteristic, complemented
28#73949C211yesmaximal, characteristic, complemented
29#73899C211yesmaximal, characteristic, complemented
30#73367C211yesmaximal, characteristic, complemented
31C2×#4655C211yesmaximal, characteristic, complemented
32#36781—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×C4×#67C2211yescharacteristic
40C22×C4⋊Dic3C2211yescharacteristic
41C22×Dic3⋊C4C2211yescharacteristic
42C22×C4×Dic3C2211yescharacteristic
43C2×#888C2211yescharacteristic
44C2×#885C2211yescharacteristic
45C2×#879C2211yescharacteristic
46C2×#878C2211yescharacteristic
47C2×#878C2211yescharacteristic
48C3×#388C2211yescharacteristic
49C3×#388C2211yescharacteristic
50C3×#387C2211yescharacteristic
51C3×#387C2211yescharacteristic
52C3×#386C2211yescharacteristic
53C3×#386C2211yescharacteristic
54C3×#386C2211yescharacteristic
55C3×#386C2211yescharacteristic
56C3×#385C2211yescharacteristic
57C3×#385C2211yescharacteristic
58C3×#380C2211yescharacteristic
59C2×C3×#95C2211yescharacteristic
60#5222C2211yescharacteristic
61#5222C2211yescharacteristic
62#5221C2211yescharacteristic
63#5220C2211yescharacteristic
64#5220C2211yescharacteristic
65#5220C2211yescharacteristic
66#5220C2211yescharacteristic
67#5220C2211yescharacteristic
68#5220C2211yescharacteristic
69#5213C2211yescharacteristic
70#5213C2211yescharacteristic
71#5213C2211yescharacteristic
72#5213C2211yescharacteristic
73#5212C2211yescharacteristic
74#5212C2211yescharacteristic
75#5211C2211yescharacteristic
76#5211C2211yescharacteristic
77#5210C2211yescharacteristic
78#5210C2211yescharacteristic
79#5210C2211yescharacteristic
80#5210C2211yescharacteristic
81C4×#217C2211yescharacteristic
82C2×C3⋊#95C2211yescharacteristic
83C2×C3⋊#95C2211yescharacteristic
84C2×C3⋊#95C2211yescharacteristic
85#4994C2211yescharacteristic
86#4994C2211yescharacteristic
87#4992C2211yescharacteristic
88#4992C2211yescharacteristic
89#4987C2211yescharacteristic
90#4986C2211yescharacteristic
91#4986C2211yescharacteristic
92#4985C2211yescharacteristic
93#4985C2211yescharacteristic
94#4985C2211yescharacteristic
95#4985C2211yescharacteristic
96#4984C2211yescharacteristic
97#4982C2211yescharacteristic
98#4982C2211yescharacteristic
99#4981C2211yescharacteristic
100#4981C2211yescharacteristic
101#4975C2211yescharacteristic
102#4972C2211yescharacteristic
103#4972C2211yescharacteristic
104#4961C2211yescharacteristic
105#4961C2211yescharacteristic
106#4961C2211yescharacteristic
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4959C2211yescharacteristic
110#4958C2211yescharacteristic
111#4958C2211yescharacteristic
112#4957C2211yescharacteristic
113#4953C2211yescharacteristic
114#4952C2211yescharacteristic
115#4952C2211yescharacteristic
116#4952C2211yescharacteristic
117#4952C2211yescharacteristic
118#4952C2211yescharacteristic
119#4951C2211yescharacteristic
120#4951C2211yescharacteristic
121#4950C2211yescharacteristic
122#4950C2211yescharacteristic
123#4948C2211yescharacteristic
124#4948C2211yescharacteristic
125#4948C2211yescharacteristic
126#4948C2211yescharacteristic
127#4948C2211yescharacteristic
128#4947C2211yescharacteristic
129#4947C2211yescharacteristic
130#4947C2211yescharacteristic
131#4946C2211yescharacteristic
132#4946C2211yescharacteristic
133#4945C2211yescharacteristic
134#4945C2211yescharacteristic
135#4945C2211yescharacteristic
136#4945C2211yescharacteristic
137#4945C2211yescharacteristic
138#4944C2211yescharacteristic
139#4944C2211yescharacteristic
140#4940C2211yescharacteristic
141#4940C2211yescharacteristic
142#4933C2211yescharacteristic
143#4933C2211yescharacteristic
144#4933C2211yescharacteristic
145#4933C2211yescharacteristic
146#4929C2211yescharacteristic
147#4929C2211yescharacteristic
148#4675C2211yescharacteristic
149#4673C2211yescharacteristic
150#4670C2211yescharacteristic
151#4669C2211yescharacteristic
152#4669C2211yescharacteristic
153#4669C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4667C2211yescharacteristic
157#4664C2211yescharacteristic
158C3⋊#401C2211yescharacteristic
159#4660C2211yescharacteristic
160#4660C2211yescharacteristic
161#4659C2211yescharacteristic
162#4658C2211yescharacteristic
163#4658C2211yescharacteristic
164#4657C2211yescharacteristic
165#4657C2211yescharacteristic
166#4656C2211yescharacteristic
167#4656C2211yescharacteristic
168#4655C2211yescharacteristic
169#4655C2211yescharacteristic
170#4655C2211yescharacteristic
171#4655C2211yescharacteristic
172#4655C2211yescharacteristic
173#4655C2211yescharacteristic
174#4655C2211yescharacteristic
175#4655C2211yescharacteristic
176#4655C2211yescharacteristic
177#4653C2211yescharacteristic
178#4653C2211yescharacteristic
179#4653C2211yescharacteristic
180#4652C2211yescharacteristic
181#4652C2211yescharacteristic
182#4652C2211yescharacteristic
183#4651C2211yescharacteristic
184#4651C2211yescharacteristic
185#4650C2211yescharacteristic
186#4650C2211yescharacteristic
187#4646C2211yescharacteristic
188#2852—31no—
189#2850—31no—
190#2795—31no—
191#2793—31no—
192#2779—31no—
193#2767—31no—
194#2765—31no—
195#2761—31no—
196#2758—31no—
197#2757—31no—
198#2747—31no—
199#2745—31no—
200#2739—31no—
201#2737—31no—
202#2731—31no—
203#2716—31no—
204#2691—31no—
205#2686—31no—
206#2643—31no—
207#2639—31no—
208#2591—31no—
209#2579—31no—
210#2450—31no—
211#2450—31no—
212#2444—31no—
213#2444—31no—
214#2440—31no—
215#2416—31no—
216#2325D311yescharacteristic, complemented
217#2318—31no—
218C2×#387—31no—
219C22×C3×D4C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×Dic6C2311yescharacteristic
236C22×Dic6C2311yescharacteristic
237C3×#121—24no—
238C3×C4×D4—42no—
239C3×C4×D4—42no—
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4C2311yescharacteristic
246C2×C3×C22⋊C4C2311yescharacteristic
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C42C2311yescharacteristic
256C2×C3×C42C2311yescharacteristic
257C2×#217C2311yescharacteristic
258C2×#217C2311yescharacteristic
259C2×#217C2311yescharacteristic
260C2×#217C2311yescharacteristic
261C2×#217C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274#939—42no—
275#939—42no—
276#938—42no—
277C4×#67—24no—
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×C4⋊Dic3—42no—
290C2×C4⋊Dic3C2311yescharacteristic
291C2×C4⋊Dic3C2311yescharacteristic
292C2×C4⋊Dic3C2311yescharacteristic
293C2×C4⋊Dic3C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×Dic3⋊C4—24no—
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×C4×Dic3—42no—
321C2×C4×Dic3C2311yescharacteristic
322C2×C4×Dic3C2311yescharacteristic
323C2×C4×Dic3C2311yescharacteristic
324C2×C4×Dic3C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328#888—42no—
329#885—42no—
330#879—42no—
331#878—42no—
332#878—42no—
333C3×#95C2311yescharacteristic
334C3×#95C2311yescharacteristic
335C3×#95C2311yescharacteristic
336C3×#95C2311yescharacteristic
337C3×#95C2311yescharacteristic
338C3×#95C2311yescharacteristic
339C3×#95C2311yescharacteristic
340C3×#95C2311yescharacteristic
341C3×#95C2311yescharacteristic
342C3×#95C2311yescharacteristic
343C3⋊#95C2311yescharacteristic
344C3⋊#95C2311yescharacteristic
345C3⋊#95C2311yescharacteristic
346C3⋊#95C2311yescharacteristic
347C3⋊#95C2311yescharacteristic
348C3⋊#95C2311yescharacteristic
349C3⋊#95C2311yescharacteristic
350C3⋊#95C2311yescharacteristic
351C3⋊#95C2311yescharacteristic
352C3⋊#95C2311yescharacteristic
353C3⋊#95C2311yescharacteristic
354C3⋊#95C2311yescharacteristic
355C3⋊#95C2311yescharacteristic
356C3⋊#95C2311yescharacteristic
357C3⋊#95C2311yescharacteristic
358C3⋊#95C2311yescharacteristic
359C3⋊#95C2311yescharacteristic
360C3⋊#95C2311yescharacteristic
361C3⋊#95C2311yescharacteristic
362C3⋊#95C2311yescharacteristic
363C3⋊#95C2311yescharacteristic
364C3⋊#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C2×C4⋊Q8—31no—
390C2×#126—31no—
391C2×#124—31no—
392C2×C22⋊Q8—31no—
393C2×C22⋊Q8—31no—
394C2×#121—31no—
395C2×#121—31no—
396C2×#121—31no—
397C2×#121C2×D311yescharacteristic
398C2×C4×D4—31no—
399C2×C4×D4C2×D311yescharacteristic
400C2×C4×D4C2×D311yescharacteristic
401C22×C4⋊C4—31no—
402C22×C4⋊C4—31no—
403C22×C42—31no—
404#401—31no—
405#400—31no—
406#400—31no—
407#400—31no—
408#400—31no—
409#400—31no—
410#400—31no—
411#400—31no—
412#400—31no—
413#400—31no—
414#400—31no—
415#400—31no—
416#398—31no—
417#398—31no—
418#398—31no—
419#398—31no—
420#398—31no—
421#398—31no—
422#397—31no—
423#397—31no—
424#397—31no—
425#397—31no—
426#397—31no—
427#397—31no—
428#397—31no—
429#397—31no—
430#397—31no—
431#396—31no—
432#396—31no—
433#396—31no—
434#396—31no—
435#396—31no—
436#396—31no—
437#396—31no—
438#395—31no—
439#395—31no—
440#394—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#393—31no—
449#393—31no—
450#393—31no—
451#393—31no—
452#391—31no—
453#391—31no—
454#391—31no—
455#390—31no—
456#390—31no—
457#389—31no—
458#389—31no—
459#389—31no—
460#388—31no—
461#388—31no—
462#388—31no—
463#388—31no—
464#388—31no—
465#388—31no—
466#388—31no—
467#388—31no—
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—31no—
474#388—31no—
475#388C2×D311yescharacteristic
476#388C2×D311yescharacteristic
477#387—31no—
478#387—31no—
479#387—31no—
480#387—31no—
481#387—31no—
482#387—31no—
483#387—31no—
484#387—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#387—31no—
489#387—31no—
490#387—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387C2×D311yescharacteristic
497#387C2×D311yescharacteristic
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386C2×D311yescharacteristic
511#386C2×D311yescharacteristic
512#386C2×D311yescharacteristic
513#386C2×D311yescharacteristic
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385C2×D311yescharacteristic
525#385C2×D311yescharacteristic
526#384—31no—
527#383—31no—
528#383—31no—
529#382—31no—
530#382—31no—
531#381—31no—
532#381—31no—
533#381—31no—
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538#380C2×D311yescharacteristic
539C4×C22⋊C4—31no—
540C2×#95—31no—
541C2×#95—31no—
542C2×#95—31no—
543C2×#95C2×D311yescharacteristic
544C24×C3C2411yescharacteristic
545C24×C3C2411yescharacteristic
546C24×C3C2411yescharacteristic
547C23×D3C2411yescharacteristic
548C2×C3×D4—22no—
549C2×C3×D4—22no—
550C2×C3×D4—22no—
551C2×C3×D4—22no—
552C2×C3×D4—22no—
553C2×C3×D4—22no—
554C2×C3×D4—22no—
555C2×C3×D4—41no—
556C2×C3×D4—41no—
557C22×C3×C4—22no—
558C22×C3×C4—22no—
559C22×C3×C4—41no—
560C22×C3×C4—41no—
561C22×C3×C4—41no—
562C22×C3×C4—41no—
563C22×C3×C4—41no—
564C22×C3×C4—41no—
565C22×C3×C4—41no—
566C22×C3×C4—41no—
567C22×C3×C4—41no—
568C22×C3×C4—41no—
569C22×C3×C4—41no—
570C22×C3×C4—41no—
571C22×C3×C4#4114yes—
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C2×#67—22no—
585C2×#67—22no—
586C2×#67—22no—
587C2×#67—22no—
588C2×#67—41no—
589C2×#67—41no—
590C2×#67—41no—
591C2×#67—41no—
592C2×#67—41no—
593C22×Dic3—22no—
594C22×Dic3—22no—
595C22×Dic3—22no—
596C22×Dic3—22no—
597C22×Dic3—22no—
598C22×Dic3—41no—
599C22×Dic3—41no—
600C22×Dic3—41no—
601C22×Dic3—41no—
602C22×Dic3—41no—
603C22×Dic3—41no—
604C22×Dic3—41no—
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C2×C4×D3—22no—
621C2×C4×D3—41no—
622C2×C4×D3—41no—
623C2×Dic6—22no—
624C2×Dic6—41no—
625C2×Dic6—41no—
626C2×Dic6—41no—
627C2×Dic6—41no—
628C2×Dic6—41no—
629C3×C4⋊C4—22no—
630C3×C4⋊C4—41no—
631C3×C4⋊C4—41no—
632C3×C4⋊C4—41no—
633C3×C4⋊C4—41no—
634C3×C22⋊C4—22no—
635C3×C22⋊C4—22no—
636C3×C22⋊C4—22no—
637C3×C22⋊C4—22no—
638C3×C22⋊C4—41no—
639C3×C22⋊C4—41no—
640C3×C22⋊C4—41no—
641C3×C22⋊C4—41no—
642C3×C22⋊C4—41no—
643C3×C22⋊C4—41no—
644C3×C42—41no—
645C3×C42—41no—
646#217—22no—
647#217—22no—
648#217—22no—
649#217—22no—
650#217—41no—
651#217—41no—
652#217—41no—
653#217—41no—
654#217—41no—
655#217—41no—
656#217—41no—
657#217—41no—
658#217—41no—
659#217—41no—
660#217—41no—
661#217—41no—
662#217—41no—
663(C2×D3)⋊C4—22no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668(C2×D3)⋊C4—41no—
669(C2×D3)⋊C4—41no—
670(C2×D3)⋊C4—41no—
671(C2×D3)⋊C4—41no—
672(C2×D3)⋊C4—41no—
673(C2×D3)⋊C4—41no—
674C4⋊Dic3—22no—
675C4⋊Dic3—22no—
676C4⋊Dic3—41no—
677C4⋊Dic3—41no—
678C4⋊Dic3—41no—
679C4⋊Dic3—41no—
680C4⋊Dic3—41no—
681C4⋊Dic3—41no—
682C4⋊Dic3—41no—
683C4⋊Dic3—41no—
684Dic3⋊C4—22no—
685Dic3⋊C4—22no—
686Dic3⋊C4—22no—
687Dic3⋊C4—22no—
688Dic3⋊C4—22no—
689Dic3⋊C4—22no—
690Dic3⋊C4—41no—
691Dic3⋊C4—41no—
692Dic3⋊C4—41no—
693Dic3⋊C4—41no—
694Dic3⋊C4—41no—
695Dic3⋊C4—41no—
696Dic3⋊C4—41no—
697Dic3⋊C4—41no—
698Dic3⋊C4—41no—
699Dic3⋊C4—41no—
700Dic3⋊C4—41no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703C4×Dic3—22no—
704C4×Dic3—22no—
705C4×Dic3—22no—
706C4×Dic3—41no—
707C4×Dic3—41no—
708C4×Dic3—41no—
709C4×Dic3—41no—
710C22×Q8—31no—
711C22×Q8—31no—
712C22×D4—31no—
713C22×D4—31no—
714C22×D4—31no—
715C22×D4C22×D311yescharacteristic
716C22×D4C22×D311yescharacteristic
717C22×D4C22×D311yescharacteristic
718C23×C4—31no—
719C23×C4—31no—
720C23×C4—31no—
721C23×C4—31no—
722C23×C4—31no—
723C23×C4C22×D311yescharacteristic
724C23×C4C22×D311yescharacteristic
725C23×C4C22×D311yescharacteristic
726C23×C4C22×D311yescharacteristic
727C23×C4C22×D311yescharacteristic
728C4⋊Q8—122no—
729#126—122no—
730#124—122no—
731C22⋊Q8—122no—
732C22⋊Q8—122no—
733#121—24no—
734#121—122no—
735#121—122no—
736#121—122no—
737C4×D4—42no—
738C4×D4—42no—
739C4×D4—64no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—31no—
742C2×C4⋊C4—31no—
743C2×C4⋊C4—31no—
744C2×C4⋊C4—31no—
745C2×C4⋊C4—31no—
746C2×C4⋊C4—31no—
747C2×C4⋊C4—31no—
748C2×C4⋊C4—31no—
749C2×C4⋊C4—31no—
750C2×C4⋊C4—31no—
751C2×C4⋊C4—31no—
752C2×C4⋊C4—31no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4—31no—
755C2×C4⋊C4—31no—
756C2×C4⋊C4—31no—
757C2×C4⋊C4—31no—
758C2×C4⋊C4—31no—
759C2×C4⋊C4—31no—
760C2×C4⋊C4—31no—
761C2×C4⋊C4—31no—
762C2×C4⋊C4—31no—
763C2×C4⋊C4—31no—
764C2×C4⋊C4—31no—
765C2×C4⋊C4—31no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—64no—
770C2×C4⋊C4—122no—
771C2×C4⋊C4C22×D311yescharacteristic
772C2×C4⋊C4C22×D311yescharacteristic
773C2×C4⋊C4C22×D311yescharacteristic
774C2×C4⋊C4C22×D311yescharacteristic
775C2×C4⋊C4C22×D311yescharacteristic
776C2×C22⋊C4—31no—
777C2×C22⋊C4—31no—
778C2×C22⋊C4—31no—
779C2×C22⋊C4—31no—
780C2×C22⋊C4—31no—
781C2×C22⋊C4—31no—
782C2×C22⋊C4—31no—
783C2×C22⋊C4—31no—
784C2×C22⋊C4—31no—
785C2×C22⋊C4—31no—
786C2×C22⋊C4—31no—
787C2×C22⋊C4—31no—
788C2×C22⋊C4—31no—
789C2×C22⋊C4—31no—
790C2×C22⋊C4—31no—
791C2×C22⋊C4—31no—
792C2×C22⋊C4—31no—
793C2×C22⋊C4—31no—
794C2×C22⋊C4—31no—
795C2×C22⋊C4—31no—
796C2×C22⋊C4—31no—
797C2×C22⋊C4—31no—
798C2×C22⋊C4—31no—
799C2×C22⋊C4—31no—
800C2×C22⋊C4—31no—
801C2×C22⋊C4—31no—
802C2×C22⋊C4—31no—
803C2×C22⋊C4—31no—
804C2×C22⋊C4C22×D311yescharacteristic
805C2×C22⋊C4C22×D311yescharacteristic
806C2×C22⋊C4C22×D311yescharacteristic
807C2×C22⋊C4C22×D311yescharacteristic
808C2×C22⋊C4C22×D311yescharacteristic
809C2×C22⋊C4C22×D311yescharacteristic
810C2×C22⋊C4C22×D311yescharacteristic
811C2×C22⋊C4C22×D311yescharacteristic
812C2×C22⋊C4C22×D311yescharacteristic
813C2×C22⋊C4C22×D311yescharacteristic
814C2×C42—31no—
815C2×C42—31no—
816C2×C42—31no—
817C2×C42—31no—
818C2×C42—31no—
819C2×C42—31no—
820C2×C42—31no—
821C2×C42—122no—
822C2×C42C22×D311yescharacteristic
823C2×C42C22×D311yescharacteristic
824#95—31no—
825#95—31no—
826#95—31no—
827#95—31no—
828#95—31no—
829#95—31no—
830#95—31no—
831#95—31no—
832#95—31no—
833#95—31no—
834#95—31no—
835#95—31no—
836#95—31no—
837#95—31no—
838#95—31no—
839#95—31no—
840#95—31no—
841#95—31no—
842#95—31no—
843#95—31no—
844#95—31no—
845#95—31no—
846#95—31no—
847#95—31no—
848#95—31no—
849#95—31no—
850#95—31no—
851#95—31no—
852#95—31no—
853#95—31no—
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95—31no—
865#95—31no—
866#95—31no—
867#95—31no—
868#95—31no—
869#95—31no—
870#95C22×D311yescharacteristic
871#95C22×D311yescharacteristic
872#95C22×D311yescharacteristic
873#95C22×D311yescharacteristic
874#95C22×D311yescharacteristic
875#95C22×D311yescharacteristic
876#95C22×D311yescharacteristic
877#95C22×D311yescharacteristic
878#95C22×D311yescharacteristic
879#95C22×D311yescharacteristic
880C23×C3—21no—
881C23×C3—21no—
882C23×C3—21no—
883C23×C3—21no—
884C23×C3—21no—
885C23×C3—21no—
886C23×C3—21no—
887C23×C3—21no—
888C23×C3—21no—
889C23×C3—21no—
890C23×C3—21no—
891C23×C3—21no—
892C23×C3—21no—
893C23×C3—21no—
894C23×C3—21no—
895C23×C3—21no—
896C23×C3—21no—
897C23×C3—21no—
898C23×C3C2×#4112yes—
899C23×C3H(5,𝔽2)12yes—
900C23×C32−1+412yes—
901C23×C3C2511yescharacteristic
902C22×D3—21no—
903C22×D3—21no—
904C22×D3—21no—
905C22×D3—21no—
906C22×D3—21no—
907C22×D3—21no—
908C22×D3—21no—
909C3×D4—44no—
910C3×D4—44no—
911C3×D4—82no—
912C2×C3×C4—21no—
913C2×C3×C4—21no—
914C2×C3×C4—21no—
915C2×C3×C4—21no—
916C2×C3×C4—21no—
917C2×C3×C4—21no—
918C2×C3×C4—21no—
919C2×C3×C4—21no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—21no—
934C2×C3×C4—21no—
935C2×C3×C4—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—44no—
947C2×C3×C4—44no—
948C2×C3×C4—82no—
949C2×C3×C4—82no—
950C2×C3×C4—82no—
951C2×C3×C4C2×#4112yes—
952C2×C3×C4C2×#4112yes—
953#67—44no—
954#67—82no—
955#67—82no—
956C2×Dic3—21no—
957C2×Dic3—21no—
958C2×Dic3—21no—
959C2×Dic3—21no—
960C2×Dic3—21no—
961C2×Dic3—21no—
962C2×Dic3—21no—
963C2×Dic3—21no—
964C2×Dic3—21no—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3—21no—
1000C2×Dic3—44no—
1001C2×Dic3—44no—
1002C2×Dic3—44no—
1003C2×Dic3—82no—
1004C2×Dic3H(5,𝔽2)12yes—
1005C4×D3—82no—
1006Dic6—82no—
1007Dic6—82no—
1008C24—31no—
1009C24C23×D311yescharacteristic
1010C24C23×D311yescharacteristic
1011C24C23×D311yescharacteristic
1012C2×Q8—62no—
1013C2×Q8—121no—
1014C2×Q8—121no—
1015C2×Q8—121no—
1016C2×Q8—121no—
1017C2×Q8—121no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—62no—
1028C2×D4—62no—
1029C2×D4—62no—
1030C2×D4—62no—
1031C2×D4—121no—
1032C2×D4—121no—
1033C2×D4—121no—
1034C2×D4—121no—
1035C2×D4—121no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—31no—
1045C22×C4—31no—
1046C22×C4—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—31no—
1051C22×C4—31no—
1052C22×C4—31no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—62no—
1066C22×C4—62no—
1067C22×C4—62no—
1068C22×C4—62no—
1069C22×C4—62no—
1070C22×C4—62no—
1071C22×C4—121no—
1072C22×C4—121no—
1073C22×C4—121no—
1074C22×C4—121no—
1075C22×C4—121no—
1076C22×C4—121no—
1077C22×C4—121no—
1078C22×C4—121no—
1079C22×C4—121no—
1080C22×C4#23514yes—
1081C22×C4C23×D311yescharacteristic
1082C22×C4C23×D311yescharacteristic
1083C22×C4C23×D311yescharacteristic
1084C22×C4C23×D311yescharacteristic
1085C22×C4C23×D311yescharacteristic
1086C22×C4C23×D311yescharacteristic
1087C22×C4C23×D311yescharacteristic
1088C22×C4C23×D311yescharacteristic
1089C22×C4C23×D311yescharacteristic
1090C22×C4C23×D311yescharacteristic
1091C22×C4C23×D311yescharacteristic
1092C22×C4C23×D311yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—62no—
1099C4⋊C4—62no—
1100C4⋊C4—62no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—121no—
1107C4⋊C4—121no—
1108C4⋊C4—121no—
1109C4⋊C4—121no—
1110C4⋊C4—121no—
1111C4⋊C4—121no—
1112C4⋊C4—121no—
1113C4⋊C4—121no—
1114C4⋊C4—121no—
1115C4⋊C4—121no—
1116C4⋊C4—121no—
1117C4⋊C4—121no—
1118C4⋊C4—121no—
1119C4⋊C4—121no—
1120C4⋊C4—121no—
1121C4⋊C4—121no—
1122C4⋊C4—121no—
1123C4⋊C4—121no—
1124C4⋊C4—121no—
1125C4⋊C4—121no—
1126C4⋊C4—121no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—62no—
1138C22⋊C4—62no—
1139C22⋊C4—62no—
1140C22⋊C4—62no—
1141C22⋊C4—62no—
1142C22⋊C4—121no—
1143C22⋊C4—121no—
1144C22⋊C4—121no—
1145C22⋊C4—121no—
1146C22⋊C4—121no—
1147C22⋊C4—121no—
1148C22⋊C4—121no—
1149C22⋊C4—121no—
1150C22⋊C4—121no—
1151C22⋊C4—121no—
1152C22⋊C4—121no—
1153C22⋊C4—121no—
1154C22⋊C4—121no—
1155C22⋊C4—121no—
1156C22⋊C4—121no—
1157C22⋊C4—121no—
1158C22⋊C4—121no—
1159C22⋊C4—121no—
1160C22⋊C4—121no—
1161C22⋊C4—121no—
1162C22⋊C4—121no—
1163C22⋊C4—121no—
1164C22⋊C4—121no—
1165C42—41no—
1166C42—41no—
1167C42—62no—
1168C42—62no—
1169C42—62no—
1170C42—121no—
1171C42—121no—
1172C42—121no—
1173C42—121no—
1174C22×C3—22no—
1175C22×C3—22no—
1176C22×C3—22no—
1177C22×C3—22no—
1178C22×C3—22no—
1179C22×C3—22no—
1180C22×C3—41no—
1181C22×C3—41no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3—41no—
1185C22×C3—41no—
1186C22×C3—41no—
1187C22×C3—41no—
1188C22×C3—41no—
1189C22×C3—41no—
1190C22×C3—41no—
1191C22×C3—41no—
1192C22×C3—41no—
1193C22×C3—41no—
1194C22×C3#54214yes—
1195C22×C3C22×#4111yescharacteristic
1196C22×C3C2×H(5,𝔽2)11yescharacteristic
1197C22×C3C2×H(5,𝔽2)11yescharacteristic
1198C22×C3C2×2−1+411yescharacteristic
1199C22×C3#58511yescharacteristic
1200C22×C3#58511yescharacteristic
1201C22×C3#58511yescharacteristic
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3—41no—
1205C2×D3—41no—
1206C2×D3—41no—
1207C2×D3—41no—
1208C2×D3—41no—
1209C3×C4—22no—
1210C3×C4—22no—
1211C3×C4—41no—
1212C3×C4—41no—
1213C3×C4—41no—
1214C3×C4—41no—
1215C3×C4—41no—
1216C3×C4—41no—
1217C3×C4—41no—
1218C3×C4—41no—
1219C3×C4—41no—
1220C3×C4—41no—
1221Dic3—22no—
1222Dic3—41no—
1223Dic3—41no—
1224Dic3—41no—
1225Dic3—41no—
1226Dic3—41no—
1227Dic3—41no—
1228Dic3—41no—
1229Dic3—41no—
1230Dic3—41no—
1231Dic3—41no—
1232Dic3—41no—
1233Dic3—41no—
1234Dic3—41no—
1235Dic3—41no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—61no—
1255C23—61no—
1256C23—61no—
1257C23—61no—
1258C23—61no—
1259C23—61no—
1260C23—61no—
1261C23C2×#23512yes—
1262C23#100412yes—
1263C23#101012yes—
1264C23C24×D311yescharacteristic
1265Q8—242no—
1266Q8—242no—
1267D4—44no—
1268D4—44no—
1269D4—82no—
1270D4—124no—
1271D4—242no—
1272D4—242no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—32no—
1308C2×C4—44no—
1309C2×C4—44no—
1310C2×C4—61no—
1311C2×C4—61no—
1312C2×C4—61no—
1313C2×C4—61no—
1314C2×C4—61no—
1315C2×C4—61no—
1316C2×C4—61no—
1317C2×C4—61no—
1318C2×C4—61no—
1319C2×C4—61no—
1320C2×C4—61no—
1321C2×C4—61no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—61no—
1343C2×C4—61no—
1344C2×C4—61no—
1345C2×C4—61no—
1346C2×C4—61no—
1347C2×C4—61no—
1348C2×C4—61no—
1349C2×C4—61no—
1350C2×C4—61no—
1351C2×C4—61no—
1352C2×C4—61no—
1353C2×C4—61no—
1354C2×C4—82no—
1355C2×C4—82no—
1356C2×C4—82no—
1357C2×C4—124no—
1358C2×C4—124no—
1359C2×C4—124no—
1360C2×C4—242no—
1361C2×C4—242no—
1362C2×C4C2×#23512yes—
1363C2×C4C2×#23512yes—
1364C2×C3—24no—
1365C2×C3—81no—
1366C2×C3—81no—
1367C2×C3C2×#54211yescharacteristic
1368C2×C3#349311yescharacteristic
1369C2×C3#350511yescharacteristic
1370C2×C3#353411yescharacteristic
1371C2×C3#354111yescharacteristic
1372C2×C3#355311yescharacteristic
1373C2×C3#356011yescharacteristic
1374D3—81no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—121no—
1396C22—121no—
1397C22—121no—
1398C22—121no—
1399C22—121no—
1400C22—121no—
1401C22—121no—
1402C22#556114yes—
1403C22C22×#23511yescharacteristic
1404C22C2×#100411yescharacteristic
1405C22C2×#101011yescharacteristic
1406C22D3×H(5,𝔽2)11yescharacteristic
1407C22#596611yescharacteristic
1408C22#596611yescharacteristic
1409C22#596811yescharacteristic
1410C4—22no—
1411C4—22no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—62no—
1423C4—121no—
1424C4—121no—
1425C4—121no—
1426C4—121no—
1427C4—121no—
1428C4—121no—
1429C4—121no—
1430C4—121no—
1431C4—121no—
1432C4—121no—
1433C4—121no—
1434C4—121no—
1435C4—121no—
1436C4—121no—
1437C3#3678111yescharacteristic, complemented, Sylow
1438C2—24no—
1439C2—81no—
1440C2—81no—
1441C2—241no—
1442C2C2×#556111yescharacteristic
1443C2#8586111yescharacteristic
1444C2#8588811yescharacteristic
1445C2#8630611yescharacteristic
1446C2#8638311yescharacteristic
1447C2#8639811yescharacteristic
1448C2#8643911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2325C2
prime radical#82705C2
hypercenter#2325D3
hypocenterC3#36781
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. C3×#2325C2semidirect
3. #82674C2semidirect
4. #82361C2semidirect
5. #82361C2semidirect
6. #82357C2semidirect
7. #82357C2semidirect
8. #75794C2semidirect
9. #75791C2semidirect
10. #75711C2semidirect
11. #75694C2semidirect
12. #75418C2semidirect
13. #75207C2semidirect
14. #75191C2semidirect
15. #75182C2semidirect
16. #74920C2semidirect
17. #74870C2semidirect
18. #74869C2semidirect
19. #74852C2semidirect
20. #74831C2semidirect
21. #74801C2semidirect
22. #74786C2semidirect
23. #74785C2semidirect
24. #74563C2semidirect
25. #74557C2semidirect
26. #74550C2semidirect
27. #74543C2semidirect
28. #73949C2semidirect
29. #73899C2semidirect
30. #73367C2semidirect
31. C2×#4655C2semidirect
216. #2325D3semidirect
1437. C3#36781semidirect

Maximal subgroups

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

subgroupindex
C3×#23252
#827052
#826742
#823612
#823572
#757942
#757912
#757112
#756942
#754182
#752072
#751912
#751822
#749202
#748702
#748692
#748522
#748312
#748012
#747862
#747852
#745632
#745572
#745502
#745432
#739492
#738992
#733672
C2×#46552
#367813