Finite Group Databasebeta

← #11043470

Subgroups — #11043470

Order 768.

1698 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2561C211yesmaximal, characteristic
2#82810C211yesmaximal, characteristic, complemented
3#82749C211yesmaximal, characteristic, complemented
4#82097C211yesmaximal, characteristic
5C2×#4944C211yesmaximal, characteristic
6#77622C211yesmaximal, characteristic, complemented
7#77618C211yesmaximal, characteristic, complemented
8#77615C211yesmaximal, characteristic, complemented
9#77578C211yesmaximal, characteristic, complemented
10#76845C211yesmaximal, characteristic, complemented
11#76843C211yesmaximal, characteristic, complemented
12#76840C211yesmaximal, characteristic, complemented
13#76839C211yesmaximal, characteristic, complemented
14#75660C211yesmaximal, characteristic, complemented
15#75656C211yesmaximal, characteristic, complemented
16#75590C211yesmaximal, characteristic, complemented
17#75584C211yesmaximal, characteristic, complemented
18#75581C211yesmaximal, characteristic, complemented
19#75577C211yesmaximal, characteristic, complemented
20#75466C211yesmaximal, characteristic, complemented
21#75463C211yesmaximal, characteristic, complemented
22#74079C211yesmaximal, characteristic, complemented
23#74077C211yesmaximal, characteristic, complemented
24#74074C211yesmaximal, characteristic, complemented
25#74067C211yesmaximal, characteristic, complemented
26#73835C211yesmaximal, characteristic
27#73833C211yesmaximal, characteristic
28#73831C211yesmaximal, characteristic
29#73828C211yesmaximal, characteristic
30#73534C211yesmaximal, characteristic, complemented
31#73437C211yesmaximal, characteristic, complemented
32#38392—31nomaximal, Sylow
33C2×C3×C22⋊Q8C2211yescharacteristic
34C22×C3×C22⋊C4C2211yescharacteristic
35C22×#217C2211yescharacteristic
36C22×#217C2211yescharacteristic
37C22×#217C2211yescharacteristic
38C2×#926C2211yescharacteristic
39C22×Dic3⋊C4C2211yescharacteristic
40C22×C4×Dic3C2211yescharacteristic
41C2×#879C2211yescharacteristic
42C2×#878C2211yescharacteristic
43C2×#878C2211yescharacteristic
44C2×#878C2211yescharacteristic
45C3×#397C2211yescharacteristic
46C3×#397C2211yescharacteristic
47C3×#393C2211yescharacteristic
48C3×#393C2211yescharacteristic
49C3×#388C2211yescharacteristic
50C3×#388C2211yescharacteristic
51C3×#388C2211yescharacteristic
52C3×#388C2211yescharacteristic
53C3×#381C2211yescharacteristic
54C3×#381C2211yescharacteristic
55C3×#379C2211yescharacteristic
56C3×#379C2211yescharacteristic
57C3×C4×C22⋊C4C2211yescharacteristic
58#5247C2211yescharacteristic
59#5229C2211yescharacteristic, complemented
60#5229C2211yescharacteristic, complemented
61#5229C2211yescharacteristic, complemented
62#5229C2211yescharacteristic, complemented
63#5212C2211yescharacteristic
64#5211C2211yescharacteristic
65C4×#217C2211yescharacteristic
66C2×C3⋊#95C2211yescharacteristic
67C2×C3⋊#95C2211yescharacteristic
68#4980C2211yescharacteristic, complemented
69#4980C2211yescharacteristic, complemented
70#4980C2211yescharacteristic, complemented
71#4980C2211yescharacteristic, complemented
72#4978C2211yescharacteristic, complemented
73#4978C2211yescharacteristic, complemented
74#4978C2211yescharacteristic, complemented
75#4978C2211yescharacteristic, complemented
76Dic3×C4⋊C4C2211yescharacteristic, complemented
77Dic3×C4⋊C4C2211yescharacteristic, complemented
78#4972C2211yescharacteristic, complemented
79#4972C2211yescharacteristic, complemented
80#4953C2211yescharacteristic
81#4953C2211yescharacteristic
82#4953C2211yescharacteristic
83#4953C2211yescharacteristic
84#4953C2211yescharacteristic
85#4952C2211yescharacteristic
86#4952C2211yescharacteristic
87#4952C2211yescharacteristic
88#4952C2211yescharacteristic
89#4951C2211yescharacteristic
90#4951C2211yescharacteristic
91#4951C2211yescharacteristic
92#4951C2211yescharacteristic
93#4951C2211yescharacteristic
94#4951C2211yescharacteristic
95#4951C2211yescharacteristic
96#4950C2211yescharacteristic
97#4950C2211yescharacteristic
98#4950C2211yescharacteristic
99#4950C2211yescharacteristic
100#4950C2211yescharacteristic
101#4950C2211yescharacteristic
102#4950C2211yescharacteristic
103#4950C2211yescharacteristic
104#4950C2211yescharacteristic
105#4949C2211yescharacteristic
106#4948C2211yescharacteristic
107#4948C2211yescharacteristic
108#4948C2211yescharacteristic
109#4947C2211yescharacteristic
110#4947C2211yescharacteristic
111#4947C2211yescharacteristic
112#4946C2211yescharacteristic
113#4946C2211yescharacteristic
114#4946C2211yescharacteristic
115#4945C2211yescharacteristic
116#4944C2211yescharacteristic
117#4944C2211yescharacteristic
118#4944C2211yescharacteristic
119#4944C2211yescharacteristic
120#4944C2211yescharacteristic
121#4944C2211yescharacteristic
122#4944C2211yescharacteristic
123#4944C2211yescharacteristic
124#4944C2211yescharacteristic
125#4944C2211yescharacteristic
126#4944C2211yescharacteristic
127#4943C2211yescharacteristic
128#4943C2211yescharacteristic
129#4943C2211yescharacteristic
130#4943C2211yescharacteristic
131#4943C2211yescharacteristic
132#4943C2211yescharacteristic
133#4942C2211yescharacteristic
134#4942C2211yescharacteristic
135#4942C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137Dic3×C22⋊C4C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140#4932C2211yescharacteristic, complemented
141#4932C2211yescharacteristic, complemented
142C4×Dic3⋊C4C2211yescharacteristic, complemented
143C4×Dic3⋊C4C2211yescharacteristic, complemented
144#4929C2211yescharacteristic, complemented
145#4929C2211yescharacteristic, complemented
146#4928C2211yescharacteristic, complemented
147#4928C2211yescharacteristic, complemented
148C3⋊#401C2211yescharacteristic, complemented
149#4661C2211yescharacteristic, complemented
150#4661C2211yescharacteristic, complemented
151#4661C2211yescharacteristic, complemented
152#4661C2211yescharacteristic, complemented
153#4661C2211yescharacteristic, complemented
154#4660C2211yescharacteristic, complemented
155#4660C2211yescharacteristic, complemented
156#4660C2211yescharacteristic, complemented
157#4660C2211yescharacteristic, complemented
158#4659C2211yescharacteristic, complemented
159#4659C2211yescharacteristic, complemented
160#4659C2211yescharacteristic, complemented
161#4658C2211yescharacteristic, complemented
162#4658C2211yescharacteristic, complemented
163#4658C2211yescharacteristic, complemented
164#4657C2211yescharacteristic, complemented
165#4656C2211yescharacteristic, complemented
166#4656C2211yescharacteristic, complemented
167#4656C2211yescharacteristic, complemented
168#4655C2211yescharacteristic, complemented
169#4655C2211yescharacteristic, complemented
170#4654C2211yescharacteristic, complemented
171#4653C2211yescharacteristic, complemented
172#4653C2211yescharacteristic, complemented
173#4653C2211yescharacteristic, complemented
174#4653C2211yescharacteristic, complemented
175#4653C2211yescharacteristic, complemented
176#4652C2211yescharacteristic, complemented
177#4651C2211yescharacteristic, complemented
178#4651C2211yescharacteristic, complemented
179#4651C2211yescharacteristic, complemented
180#4650C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2855—31no—
189#2775—31no—
190#2772—31no—
191#2770—31no—
192#2764—31no—
193#2763—31no—
194#2759—31no—
195#2754—31no—
196#2698—31no—
197#2654—31no—
198#2650—31no—
199#2561—31no—
200#2561D311yescharacteristic
201#2549—31no—
202#2532—31no—
203#2530—31no—
204#2529—31no—
205#2527—31no—
206#2503—31no—
207#2493—31no—
208#2484—31no—
209#2483—31no—
210#2480—31no—
211#2438—31no—
212#2437—31no—
213#2368—31no—
214#2342—31no—
215#2334—31no—
216#2332—31no—
217C2×#388—31no—
218#2283—31no—
219C25×C3C2311yescharacteristic
220C22×C3×Q8C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×Dic3C2311yescharacteristic
224C23×Dic3C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C22×Dic6C2311yescharacteristic
230C22×Dic6C2311yescharacteristic
231C3×C22⋊Q8—24no—
232C2×C3×C4⋊C4C2311yescharacteristic
233C2×C3×C4⋊C4C2311yescharacteristic
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C22⋊C4—24no—
236C2×C3×C22⋊C4C2311yescharacteristic
237C2×C3×C22⋊C4C2311yescharacteristic
238C2×C3×C22⋊C4C2311yescharacteristic
239C2×C3×C22⋊C4C2311yescharacteristic
240C2×C3×C22⋊C4C2311yescharacteristic
241C2×C3×C22⋊C4C2311yescharacteristic
242C2×C3×C22⋊C4C2311yescharacteristic
243C2×C3×C22⋊C4C2311yescharacteristic
244C2×C3×C22⋊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×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254C2×#217—24no—
255C2×#217—42no—
256C2×#217—42no—
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
274C2×#217C2311yescharacteristic
275#926—42no—
276C2×C4⋊Dic3C2311yescharacteristic
277C2×C4⋊Dic3C2311yescharacteristic
278C2×C4⋊Dic3C2311yescharacteristic
279C2×C4⋊Dic3C2311yescharacteristic
280C2×C4⋊Dic3C2311yescharacteristic
281C2×C4⋊Dic3C2311yescharacteristic
282C2×C4⋊Dic3C2311yescharacteristic
283C2×C4⋊Dic3C2311yescharacteristic
284C2×C4⋊Dic3C2311yescharacteristic
285C2×C4⋊Dic3C2311yescharacteristic
286C2×C4⋊Dic3C2311yescharacteristic
287C2×C4⋊Dic3C2311yescharacteristic
288C2×C4⋊Dic3C2311yescharacteristic
289C2×C4⋊Dic3C2311yescharacteristic
290C2×Dic3⋊C4—42no—
291C2×Dic3⋊C4C2311yescharacteristic
292C2×Dic3⋊C4C2311yescharacteristic
293C2×Dic3⋊C4C2311yescharacteristic
294C2×Dic3⋊C4C2311yescharacteristic
295C2×Dic3⋊C4C2311yescharacteristic
296C2×Dic3⋊C4C2311yescharacteristic
297C2×Dic3⋊C4C2311yescharacteristic
298C2×Dic3⋊C4C2311yescharacteristic
299C2×Dic3⋊C4C2311yescharacteristic
300C2×Dic3⋊C4C2311yescharacteristic
301C2×Dic3⋊C4C2311yescharacteristic
302C2×Dic3⋊C4C2311yescharacteristic
303C2×Dic3⋊C4C2311yescharacteristic
304C2×Dic3⋊C4C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×C4×Dic3—24no—
308C2×C4×Dic3C2311yescharacteristic
309C2×C4×Dic3C2311yescharacteristic
310C2×C4×Dic3C2311yescharacteristic
311C2×C4×Dic3C2311yescharacteristic
312C2×C4×Dic3C2311yescharacteristic
313C2×C4×Dic3C2311yescharacteristic
314C2×C4×Dic3C2311yescharacteristic
315C2×C4×Dic3C2311yescharacteristic
316C2×C4×Dic3C2311yescharacteristic
317C2×C4×Dic3C2311yescharacteristic
318C2×C4×Dic3C2311yescharacteristic
319C2×C4×Dic3C2311yescharacteristic
320#879—24no—
321#878—24no—
322#878—42no—
323#878—42no—
324C3×#95C2311yescharacteristic
325C3×#95C2311yescharacteristic
326C3×#95C2311yescharacteristic
327C3×#95C2311yescharacteristic
328C3×#95C2311yescharacteristic
329C3×#95C2311yescharacteristic
330C3×#95C2311yescharacteristic
331C3×#95C2311yescharacteristic
332C3×#95C2311yescharacteristic
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
386C2×#126—31no—
387C2×C22⋊Q8—31no—
388C2×C22⋊Q8—31no—
389C2×C22⋊Q8—31no—
390C2×C22⋊Q8C2×D311yescharacteristic
391C2×#117—31no—
392C22×C4⋊C4—31no—
393C22×C22⋊C4—31no—
394C22×C22⋊C4—31no—
395C22×C22⋊C4—31no—
396C22×C22⋊C4C2×D311yescharacteristic
397C22×C42—31no—
398#401—31no—
399#400—31no—
400#400—31no—
401#400—31no—
402#400—31no—
403#400—31no—
404#400—31no—
405#400—31no—
406#400—31no—
407#400—31no—
408#400—31no—
409#399—31no—
410#398—31no—
411#398—31no—
412#398—31no—
413#398—31no—
414#398—31no—
415#398—31no—
416#397—31no—
417#397—31no—
418#397—31no—
419#397—31no—
420#397—31no—
421#397—31no—
422#397—31no—
423#397—31no—
424#397—31no—
425#397C2×D311yescharacteristic
426#397C2×D311yescharacteristic
427#396—31no—
428#396—31no—
429#396—31no—
430#395—31no—
431#395—31no—
432#395—31no—
433#393—31no—
434#393—31no—
435#393—31no—
436#393C2×D311yescharacteristic
437#393C2×D311yescharacteristic
438#391—31no—
439#391—31no—
440#391—31no—
441#391—31no—
442#391—31no—
443#391—31no—
444#391—31no—
445#391—31no—
446#391—31no—
447#389—31no—
448#389—31no—
449#389—31no—
450#389—31no—
451#389—31no—
452#388—31no—
453#388—31no—
454#388—31no—
455#388—31no—
456#388—31no—
457#388—31no—
458#388—31no—
459#388—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#388C2×D311yescharacteristic
472#388C2×D311yescharacteristic
473#388C2×D311yescharacteristic
474#388C2×D311yescharacteristic
475#387—31no—
476#387—31no—
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#385—31no—
493#385—31no—
494#385—31no—
495#385—31no—
496#385—31no—
497#385—31no—
498#385—31no—
499#385—31no—
500#385—31no—
501#385—31no—
502#385—31no—
503#385—31no—
504#383—31no—
505#383—31no—
506#383—31no—
507#382—31no—
508#382—31no—
509#382—31no—
510#382—31no—
511#381—31no—
512#381—31no—
513#381—31no—
514#381—31no—
515#381—31no—
516#381—31no—
517#381—31no—
518#381C2×D311yescharacteristic
519#381C2×D311yescharacteristic
520#380—31no—
521#380—31no—
522#380—31no—
523#380—31no—
524#379—31no—
525#379C2×D311yescharacteristic
526#379C2×D311yescharacteristic
527C4×C4⋊C4—31no—
528C4×C4⋊C4—31no—
529C4×C4⋊C4—31no—
530C4×C4⋊C4—31no—
531C4×C22⋊C4—31no—
532C4×C22⋊C4—31no—
533C4×C22⋊C4—31no—
534C4×C22⋊C4—31no—
535C4×C22⋊C4—31no—
536C4×C22⋊C4C2×D311yescharacteristic
537#376—31no—
538#376—31no—
539C2×#95—31no—
540C2×#95—31no—
541C24×C3—22no—
542C24×C3—22no—
543C24×C3—22no—
544C24×C3—22no—
545C24×C3—41no—
546C24×C3—41no—
547C24×C3—41no—
548C24×C3C2411yescharacteristic
549C24×C3C2411yescharacteristic
550C24×C3C2411yescharacteristic
551C2×C3×Q8—22no—
552C2×C3×Q8—41no—
553C2×C3×Q8—41no—
554C22×C3×C4—22no—
555C22×C3×C4—22no—
556C22×C3×C4—22no—
557C22×C3×C4—41no—
558C22×C3×C4—41no—
559C22×C3×C4#4114yes—
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×C3×C4C2411yescharacteristic
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×Dic3—22no—
573C22×Dic3—22no—
574C22×Dic3—22no—
575C22×Dic3—22no—
576C22×Dic3—22no—
577C22×Dic3—22no—
578C22×Dic3—22no—
579C22×Dic3—22no—
580C22×Dic3—22no—
581C22×Dic3—41no—
582C22×Dic3—41no—
583C22×Dic3—41no—
584C22×Dic3—41no—
585C22×Dic3—41no—
586C22×Dic3—41no—
587C22×Dic3—41no—
588C22×Dic3—41no—
589C22×Dic3—41no—
590C22×Dic3C2411yescharacteristic
591C22×Dic3C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C22×Dic3C2411yescharacteristic
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C2×Dic6—22no—
607C2×Dic6—41no—
608C2×Dic6—41no—
609C2×Dic6—41no—
610C2×Dic6—41no—
611C2×Dic6—41no—
612C3×C4⋊C4—22no—
613C3×C4⋊C4—22no—
614C3×C4⋊C4—22no—
615C3×C22⋊C4—22no—
616C3×C22⋊C4—22no—
617C3×C22⋊C4—22no—
618C3×C22⋊C4—22no—
619C3×C22⋊C4—22no—
620C3×C22⋊C4—22no—
621C3×C22⋊C4—22no—
622C3×C22⋊C4—22no—
623C3×C22⋊C4—22no—
624C3×C22⋊C4—22no—
625C3×C22⋊C4—41no—
626C3×C22⋊C4—41no—
627C3×C22⋊C4—41no—
628C3×C22⋊C4—41no—
629C3×C22⋊C4—41no—
630C3×C22⋊C4—41no—
631C3×C42—41no—
632C3×C42—41no—
633#217—22no—
634#217—22no—
635#217—22no—
636#217—22no—
637#217—22no—
638#217—22no—
639#217—22no—
640#217—22no—
641#217—41no—
642#217—41no—
643#217—41no—
644#217—41no—
645#217—41no—
646#217—41no—
647#217—41no—
648#217—41no—
649#217—41no—
650#217#4114yes—
651C4⋊Dic3—22no—
652C4⋊Dic3—22no—
653C4⋊Dic3—41no—
654C4⋊Dic3—41no—
655C4⋊Dic3—41no—
656C4⋊Dic3—41no—
657C4⋊Dic3—41no—
658C4⋊Dic3—41no—
659C4⋊Dic3—41no—
660C4⋊Dic3—41no—
661C4⋊Dic3—41no—
662C4⋊Dic3—41no—
663C4⋊Dic3—41no—
664C4⋊Dic3—41no—
665Dic3⋊C4—22no—
666Dic3⋊C4—22no—
667Dic3⋊C4—22no—
668Dic3⋊C4—22no—
669Dic3⋊C4—41no—
670Dic3⋊C4—41no—
671Dic3⋊C4—41no—
672Dic3⋊C4—41no—
673Dic3⋊C4—41no—
674Dic3⋊C4—41no—
675Dic3⋊C4—41no—
676Dic3⋊C4—41no—
677Dic3⋊C4—41no—
678Dic3⋊C4—41no—
679Dic3⋊C4—41no—
680Dic3⋊C4—41no—
681C4×Dic3—22no—
682C4×Dic3—22no—
683C4×Dic3—22no—
684C4×Dic3—22no—
685C4×Dic3—22no—
686C4×Dic3—41no—
687C4×Dic3—41no—
688C4×Dic3—41no—
689C4×Dic3—41no—
690C4×Dic3—41no—
691C4×Dic3—41no—
692C4×Dic3—41no—
693C25C22×D311yescharacteristic
694C22×Q8—31no—
695C22×Q8—31no—
696C22×Q8C22×D311yescharacteristic
697C23×C4—31no—
698C23×C4—31no—
699C23×C4—31no—
700C23×C4—31no—
701C23×C4—31no—
702C23×C4—31no—
703C23×C4C22×D311yescharacteristic
704C23×C4C22×D311yescharacteristic
705#126—64no—
706C22⋊Q8—24no—
707C22⋊Q8—64no—
708C22⋊Q8—122no—
709C22⋊Q8—122no—
710#117—122no—
711C2×C4⋊C4—31no—
712C2×C4⋊C4—31no—
713C2×C4⋊C4—31no—
714C2×C4⋊C4—31no—
715C2×C4⋊C4—31no—
716C2×C4⋊C4—31no—
717C2×C4⋊C4—31no—
718C2×C4⋊C4—31no—
719C2×C4⋊C4—31no—
720C2×C4⋊C4—31no—
721C2×C4⋊C4—31no—
722C2×C4⋊C4—31no—
723C2×C4⋊C4—31no—
724C2×C4⋊C4—31no—
725C2×C4⋊C4—31no—
726C2×C4⋊C4—31no—
727C2×C4⋊C4—31no—
728C2×C4⋊C4—31no—
729C2×C4⋊C4—31no—
730C2×C4⋊C4—31no—
731C2×C4⋊C4—31no—
732C2×C4⋊C4—31no—
733C2×C4⋊C4—31no—
734C2×C4⋊C4—31no—
735C2×C4⋊C4—31no—
736C2×C4⋊C4—31no—
737C2×C4⋊C4—31no—
738C2×C4⋊C4—31no—
739C2×C4⋊C4—31no—
740C2×C4⋊C4—31no—
741C2×C4⋊C4—122no—
742C2×C4⋊C4C22×D311yescharacteristic
743C2×C4⋊C4C22×D311yescharacteristic
744C2×C4⋊C4C22×D311yescharacteristic
745C2×C22⋊C4—24no—
746C2×C22⋊C4—31no—
747C2×C22⋊C4—31no—
748C2×C22⋊C4—31no—
749C2×C22⋊C4—31no—
750C2×C22⋊C4—31no—
751C2×C22⋊C4—31no—
752C2×C22⋊C4—31no—
753C2×C22⋊C4—31no—
754C2×C22⋊C4—31no—
755C2×C22⋊C4—31no—
756C2×C22⋊C4—31no—
757C2×C22⋊C4—31no—
758C2×C22⋊C4—31no—
759C2×C22⋊C4—31no—
760C2×C22⋊C4—31no—
761C2×C22⋊C4—31no—
762C2×C22⋊C4—31no—
763C2×C22⋊C4—31no—
764C2×C22⋊C4—64no—
765C2×C22⋊C4—122no—
766C2×C22⋊C4—122no—
767C2×C22⋊C4C22×D311yescharacteristic
768C2×C22⋊C4C22×D311yescharacteristic
769C2×C22⋊C4C22×D311yescharacteristic
770C2×C22⋊C4C22×D311yescharacteristic
771C2×C22⋊C4C22×D311yescharacteristic
772C2×C22⋊C4C22×D311yescharacteristic
773C2×C22⋊C4C22×D311yescharacteristic
774C2×C22⋊C4C22×D311yescharacteristic
775C2×C22⋊C4C22×D311yescharacteristic
776C2×C22⋊C4C22×D311yescharacteristic
777C2×C22⋊C4C22×D311yescharacteristic
778C2×C22⋊C4C22×D311yescharacteristic
779C2×C22⋊C4C22×D311yescharacteristic
780C2×C22⋊C4C22×D311yescharacteristic
781C2×C22⋊C4C22×D311yescharacteristic
782C2×C22⋊C4C22×D311yescharacteristic
783C2×C42—31no—
784C2×C42—31no—
785C2×C42—31no—
786C2×C42—31no—
787C2×C42—31no—
788C2×C42—31no—
789C2×C42—31no—
790C2×C42—31no—
791C2×C42—31no—
792C2×C42—31no—
793C2×C42—31no—
794C2×C42—31no—
795C2×C42—64no—
796C2×C42C22×D311yescharacteristic
797C2×C42C22×D311yescharacteristic
798#95—31no—
799#95—31no—
800#95—31no—
801#95—31no—
802#95—31no—
803#95—31no—
804#95—31no—
805#95—31no—
806#95—31no—
807#95—31no—
808#95—31no—
809#95—31no—
810#95—31no—
811#95—31no—
812#95—31no—
813#95—31no—
814#95—31no—
815#95—31no—
816#95—31no—
817#95—31no—
818#95—31no—
819#95—31no—
820#95—31no—
821#95—31no—
822#95—31no—
823#95—31no—
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#95C22×D311yescharacteristic
851#95C22×D311yescharacteristic
852#95C22×D311yescharacteristic
853#95C22×D311yescharacteristic
854#95C22×D311yescharacteristic
855#95C22×D311yescharacteristic
856#95C22×D311yescharacteristic
857#95C22×D311yescharacteristic
858#95C22×D311yescharacteristic
859#95C22×D311yescharacteristic
860C23×C3—21no—
861C23×C3—21no—
862C23×C3—21no—
863C23×C3—21no—
864C23×C3—21no—
865C23×C3—21no—
866C23×C3—21no—
867C23×C3—21no—
868C23×C3—21no—
869C23×C3—21no—
870C23×C3—21no—
871C23×C3—21no—
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—44no—
878C23×C3—44no—
879C23×C3—44no—
880C23×C3—44no—
881C23×C3—82no—
882C23×C3—82no—
883C23×C3—82no—
884C23×C3C2×#4112yes—
885C23×C3C2×#4112yes—
886C23×C3H(5,𝔽2)12yes—
887C23×C32−1+412yes—
888C23×C3C2511yescharacteristic
889C3×Q8—82no—
890C2×C3×C4—21no—
891C2×C3×C4—21no—
892C2×C3×C4—21no—
893C2×C3×C4—21no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—21no—
899C2×C3×C4—21no—
900C2×C3×C4—21no—
901C2×C3×C4—21no—
902C2×C3×C4—21no—
903C2×C3×C4—21no—
904C2×C3×C4—21no—
905C2×C3×C4—21no—
906C2×C3×C4—21no—
907C2×C3×C4—21no—
908C2×C3×C4—21no—
909C2×C3×C4—21no—
910C2×C3×C4—21no—
911C2×C3×C4—21no—
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—44no—
925C2×C3×C4—44no—
926C2×C3×C4C2×#4112yes—
927C2×C3×C4C2×#4112yes—
928C2×Dic3—21no—
929C2×Dic3—21no—
930C2×Dic3—21no—
931C2×Dic3—21no—
932C2×Dic3—21no—
933C2×Dic3—21no—
934C2×Dic3—21no—
935C2×Dic3—21no—
936C2×Dic3—21no—
937C2×Dic3—21no—
938C2×Dic3—21no—
939C2×Dic3—21no—
940C2×Dic3—21no—
941C2×Dic3—21no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—21no—
951C2×Dic3—21no—
952C2×Dic3—21no—
953C2×Dic3—21no—
954C2×Dic3—21no—
955C2×Dic3—21no—
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—44no—
975C2×Dic3—44no—
976C2×Dic3—44no—
977C2×Dic3—82no—
978C2×Dic3—82no—
979C2×Dic3—82no—
980C2×Dic3C2×#4112yes—
981C2×Dic3C2×#4112yes—
982Dic6—82no—
983Dic6—82no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—41no—
989C24—41no—
990C24—41no—
991C24C23×D311yescharacteristic
992C24C23×D311yescharacteristic
993C24C23×D311yescharacteristic
994C2×Q8—22no—
995C2×Q8—41no—
996C2×Q8—41no—
997C2×Q8—62no—
998C2×Q8—121no—
999C2×Q8—121no—
1000C2×Q8—121no—
1001C2×Q8—121no—
1002C2×Q8—121no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—31no—
1007C22×C4—31no—
1008C22×C4—31no—
1009C22×C4—31no—
1010C22×C4—31no—
1011C22×C4—31no—
1012C22×C4—31no—
1013C22×C4—31no—
1014C22×C4—31no—
1015C22×C4—31no—
1016C22×C4—31no—
1017C22×C4—31no—
1018C22×C4—31no—
1019C22×C4—31no—
1020C22×C4—31no—
1021C22×C4—31no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—62no—
1025C22×C4—62no—
1026C22×C4—62no—
1027C22×C4—62no—
1028C22×C4—62no—
1029C22×C4—62no—
1030C22×C4—62no—
1031C22×C4—62no—
1032C22×C4—62no—
1033C22×C4—121no—
1034C22×C4—121no—
1035C22×C4—121no—
1036C22×C4—121no—
1037C22×C4—121no—
1038C22×C4—121no—
1039C22×C4—121no—
1040C22×C4—121no—
1041C22×C4—121no—
1042C22×C4#23714yes—
1043C22×C4C23×D311yescharacteristic
1044C22×C4C23×D311yescharacteristic
1045C22×C4C23×D311yescharacteristic
1046C22×C4C23×D311yescharacteristic
1047C22×C4C23×D311yescharacteristic
1048C22×C4C23×D311yescharacteristic
1049C22×C4C23×D311yescharacteristic
1050C22×C4C23×D311yescharacteristic
1051C22×C4C23×D311yescharacteristic
1052C22×C4C23×D311yescharacteristic
1053C22×C4C23×D311yescharacteristic
1054C22×C4C23×D311yescharacteristic
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—22no—
1058C4⋊C4—62no—
1059C4⋊C4—62no—
1060C4⋊C4—62no—
1061C4⋊C4—62no—
1062C4⋊C4—62no—
1063C4⋊C4—62no—
1064C4⋊C4—121no—
1065C4⋊C4—121no—
1066C4⋊C4—121no—
1067C4⋊C4—121no—
1068C4⋊C4—121no—
1069C4⋊C4—121no—
1070C4⋊C4—121no—
1071C4⋊C4—121no—
1072C4⋊C4—121no—
1073C4⋊C4—121no—
1074C4⋊C4—121no—
1075C4⋊C4—121no—
1076C4⋊C4—121no—
1077C4⋊C4—121no—
1078C4⋊C4—121no—
1079C4⋊C4—121no—
1080C4⋊C4—121no—
1081C4⋊C4—121no—
1082C4⋊C4—121no—
1083C4⋊C4—121no—
1084C4⋊C4—121no—
1085C4⋊C4—121no—
1086C4⋊C4—121no—
1087C4⋊C4—121no—
1088C22⋊C4—22no—
1089C22⋊C4—22no—
1090C22⋊C4—22no—
1091C22⋊C4—22no—
1092C22⋊C4—22no—
1093C22⋊C4—22no—
1094C22⋊C4—22no—
1095C22⋊C4—22no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—34no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—62no—
1106C22⋊C4—62no—
1107C22⋊C4—62no—
1108C22⋊C4—62no—
1109C22⋊C4—62no—
1110C22⋊C4—62no—
1111C22⋊C4—62no—
1112C22⋊C4—62no—
1113C22⋊C4—121no—
1114C22⋊C4—121no—
1115C22⋊C4—121no—
1116C22⋊C4—121no—
1117C22⋊C4—121no—
1118C22⋊C4—121no—
1119C22⋊C4—121no—
1120C22⋊C4—121no—
1121C22⋊C4—121no—
1122C42—41no—
1123C42—41no—
1124C42—62no—
1125C42—62no—
1126C42—62no—
1127C42—62no—
1128C42—62no—
1129C42—121no—
1130C42—121no—
1131C42—121no—
1132C42—121no—
1133C42—121no—
1134C42—121no—
1135C42—121no—
1136C22×C3—22no—
1137C22×C3—22no—
1138C22×C3—22no—
1139C22×C3—22no—
1140C22×C3—22no—
1141C22×C3—22no—
1142C22×C3—22no—
1143C22×C3—22no—
1144C22×C3—22no—
1145C22×C3—41no—
1146C22×C3—41no—
1147C22×C3—41no—
1148C22×C3—41no—
1149C22×C3—41no—
1150C22×C3—41no—
1151C22×C3—41no—
1152C22×C3—41no—
1153C22×C3—41no—
1154C22×C3—41no—
1155C22×C3—41no—
1156C22×C3—88no—
1157C22×C3#54214yes—
1158C22×C3C22×#4111yescharacteristic
1159C22×C3C22×#4111yescharacteristic
1160C22×C3C2×H(5,𝔽2)11yescharacteristic
1161C22×C3C2×2−1+411yescharacteristic
1162C22×C3#58511yescharacteristic
1163C22×C3#58511yescharacteristic
1164C22×C3#58511yescharacteristic
1165C3×C4—22no—
1166C3×C4—22no—
1167C3×C4—41no—
1168C3×C4—41no—
1169C3×C4—41no—
1170C3×C4—41no—
1171C3×C4—41no—
1172C3×C4—41no—
1173C3×C4—41no—
1174C3×C4—41no—
1175C3×C4—41no—
1176C3×C4—41no—
1177Dic3—22no—
1178Dic3—22no—
1179Dic3—41no—
1180Dic3—41no—
1181Dic3—41no—
1182Dic3—41no—
1183Dic3—41no—
1184Dic3—41no—
1185Dic3—41no—
1186Dic3—41no—
1187Dic3—41no—
1188Dic3—41no—
1189Dic3—41no—
1190Dic3—41no—
1191Dic3—41no—
1192Dic3—41no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—44no—
1211C23—44no—
1212C23—44no—
1213C23—44no—
1214C23—82no—
1215C23—82no—
1216C23—82no—
1217C23C2×#23712yes—
1218C23D3×#4112yes—
1219C23#100912yes—
1220C23#101012yes—
1221C23C24×D311yescharacteristic
1222Q8—82no—
1223Q8—242no—
1224Q8—242no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—32no—
1260C2×C4—32no—
1261C2×C4—44no—
1262C2×C4—44no—
1263C2×C4—61no—
1264C2×C4—61no—
1265C2×C4—61no—
1266C2×C4—61no—
1267C2×C4—61no—
1268C2×C4—61no—
1269C2×C4—61no—
1270C2×C4—61no—
1271C2×C4—61no—
1272C2×C4—61no—
1273C2×C4—61no—
1274C2×C4—61no—
1275C2×C4—61no—
1276C2×C4—61no—
1277C2×C4—61no—
1278C2×C4—61no—
1279C2×C4—61no—
1280C2×C4—61no—
1281C2×C4—61no—
1282C2×C4—61no—
1283C2×C4—61no—
1284C2×C4—61no—
1285C2×C4—61no—
1286C2×C4—61no—
1287C2×C4—61no—
1288C2×C4—61no—
1289C2×C4—61no—
1290C2×C4—61no—
1291C2×C4—61no—
1292C2×C4—61no—
1293C2×C4—61no—
1294C2×C4—61no—
1295C2×C4—61no—
1296C2×C4—61no—
1297C2×C4—61no—
1298C2×C4—61no—
1299C2×C4—61no—
1300C2×C4—61no—
1301C2×C4—61no—
1302C2×C4—61no—
1303C2×C4—61no—
1304C2×C4—61no—
1305C2×C4—61no—
1306C2×C4—61no—
1307C2×C4—61no—
1308C2×C4—61no—
1309C2×C4—124no—
1310C2×C4—124no—
1311C2×C4—124no—
1312C2×C4—242no—
1313C2×C4—242no—
1314C2×C4—242no—
1315C2×C4C2×#23712yes—
1316C2×C4C2×#23712yes—
1317C2×C3—24no—
1318C2×C3—42no—
1319C2×C3—81no—
1320C2×C3C2×#54211yescharacteristic
1321C2×C3#347511yescharacteristic
1322C2×C3#349111yescharacteristic
1323C2×C3#349511yescharacteristic
1324C2×C3#351311yescharacteristic
1325C2×C3#354511yescharacteristic
1326C2×C3#356411yescharacteristic
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—88no—
1348C22#568214yes—
1349C22C22×#23711yescharacteristic
1350C22C2×D3×#4111yescharacteristic
1351C22C2×#100911yescharacteristic
1352C22C2×#101011yescharacteristic
1353C22#596411yescharacteristic
1354C22#596611yescharacteristic
1355C22#596611yescharacteristic
1356C4—22no—
1357C4—22no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—62no—
1369C4—62no—
1370C4—121no—
1371C4—121no—
1372C4—121no—
1373C4—121no—
1374C4—121no—
1375C4—121no—
1376C4—121no—
1377C4—121no—
1378C4—121no—
1379C4—121no—
1380C4—121no—
1381C4—121no—
1382C4—121no—
1383C4—121no—
1384C3#3839211yescharacteristic, complemented, Sylow
1385C2—24no—
1386C2—42no—
1387C2—81no—
1388C2#8602111yescharacteristic
1389C2C2×#568211yescharacteristic
1390C2#8629711yescharacteristic
1391C2#8679311yescharacteristic
1392C2#8679511yescharacteristic
1393C2#8680611yescharacteristic
1394C2#8681111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2561C2
prime radicalC25×C3C23
hypercenter#2561D3
hypocenterC3#38392
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2561

Complements

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

NH ≅ G/Ntype
2. #82810C2semidirect
3. #82749C2semidirect
6. #77622C2semidirect
7. #77618C2semidirect
8. #77615C2semidirect
9. #77578C2semidirect
10. #76845C2semidirect
11. #76843C2semidirect
12. #76840C2semidirect
13. #76839C2semidirect
14. #75660C2semidirect
15. #75656C2semidirect
16. #75590C2semidirect
17. #75584C2semidirect
18. #75581C2semidirect
19. #75577C2semidirect
20. #75466C2semidirect
21. #75463C2semidirect
22. #74079C2semidirect
23. #74077C2semidirect
24. #74074C2semidirect
25. #74067C2semidirect
30. #73534C2semidirect
31. #73437C2semidirect
59. #5229C22semidirect
60. #5229C22semidirect
61. #5229C22semidirect
62. #5229C22semidirect
68. #4980C22semidirect
69. #4980C22semidirect
70. #4980C22semidirect
71. #4980C22semidirect
72. #4978C22semidirect
73. #4978C22semidirect
74. #4978C22semidirect
75. #4978C22semidirect
76. Dic3×C4⋊C4C22semidirect
77. Dic3×C4⋊C4C22semidirect
78. #4972C22semidirect
79. #4972C22semidirect
140. #4932C22semidirect
141. #4932C22semidirect
142. C4×Dic3⋊C4C22semidirect
143. C4×Dic3⋊C4C22semidirect
144. #4929C22semidirect
145. #4929C22semidirect
146. #4928C22semidirect
147. #4928C22semidirect
148. C3⋊#401C22semidirect
149. #4661C22semidirect
150. #4661C22semidirect
151. #4661C22semidirect
152. #4661C22semidirect
153. #4661C22semidirect
154. #4660C22semidirect
155. #4660C22semidirect
156. #4660C22semidirect
157. #4660C22semidirect
158. #4659C22semidirect
159. #4659C22semidirect
160. #4659C22semidirect
161. #4658C22semidirect
162. #4658C22semidirect
163. #4658C22semidirect
164. #4657C22semidirect
165. #4656C22semidirect
166. #4656C22semidirect
167. #4656C22semidirect
168. #4655C22semidirect
169. #4655C22semidirect
170. #4654C22semidirect
171. #4653C22semidirect
172. #4653C22semidirect
173. #4653C22semidirect
174. #4653C22semidirect
175. #4653C22semidirect
176. #4652C22semidirect
177. #4651C22semidirect
178. #4651C22semidirect
179. #4651C22semidirect
180. #4650C22semidirect
181. #4650C22semidirect
182. #4650C22semidirect
183. #4650C22semidirect
184. #4647C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
1384. C3#38392semidirect

Maximal subgroups

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

subgroupindex
C3×#25612
#828102
#827492
#820972
C2×#49442
#776222
#776182
#776152
#775782
#768452
#768432
#768402
#768392
#756602
#756562
#755902
#755842
#755812
#755772
#754662
#754632
#740792
#740772
#740742
#740672
#738352
#738332
#738312
#738282
#735342
#734372
#383923