Finite Group Databasebeta

← #36561828

Subgroups — #36561828

Order 22784.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028956C211yesmaximal, characteristic
2#26028671C211yesmaximal, characteristic, complemented
3#26020902C211yesmaximal, characteristic, complemented
4#26020902C211yesmaximal, characteristic, complemented
5#26020853C211yesmaximal, characteristic, complemented
6#26020853C211yesmaximal, characteristic, complemented
7#26020555C211yesmaximal, characteristic
8#26020459C211yesmaximal, characteristic, complemented
9#26020351C211yesmaximal, characteristic, complemented
10#26020138C211yesmaximal, characteristic, complemented
11#26020133C211yesmaximal, characteristic, complemented
12#26020099C211yesmaximal, characteristic, complemented
13#26020092C211yesmaximal, characteristic, complemented
14#26020038C211yesmaximal, characteristic, complemented
15C89×#3091C211yesmaximal, characteristic
16C2×#15668019C2211yescharacteristic
17C22×#13083558C2211yescharacteristic
18C22×#13083558C2211yescharacteristic
19#19151676—21no—
20#19151676—21no—
21#19151670—21no—
22#19151670—21no—
23C2×#15667948C2211yescharacteristic
24C2×#15667948C2211yescharacteristic
25#19151625C2211yescharacteristic
26C2×#15667939C2211yescharacteristic
27C2×#15667939C2211yescharacteristic
28#19151565C2211yescharacteristic
29#19151562C2211yescharacteristic
30#19151554—21no—
31#19151554—21no—
32#19151554C2211yescharacteristic
33#19151554C2211yescharacteristic
34#19151554C2211yescharacteristic
35#19151554C2211yescharacteristic
36#19151554C2211yescharacteristic
37C4×#13083558—21no—
38C4×#13083558—21no—
39C2×#15667922C2211yescharacteristic
40C2×C8×Dic89C2211yescharacteristic
41C4×C22⋊Dic89C2211yescharacteristic
42#19151363C2211yescharacteristic
43#19151363C2211yescharacteristic
44#19151357C2211yescharacteristic
45#19151357C2211yescharacteristic
46#19151357C2211yescharacteristic
47#19151357C2211yescharacteristic
48#19151357C2211yescharacteristic
49#19151357C2211yescharacteristic
50#19151352C2211yescharacteristic
51#19151352C2211yescharacteristic
52#525×C89C2211yescharacteristic
53C2×#117×C89C2211yescharacteristic
54#485×C89C411yescharacteristic, complemented
55#485×C89C411yescharacteristic, complemented
56#484×C89C411yescharacteristic, complemented
57#483×C89C411yescharacteristic, complemented
58#482×C89C411yescharacteristic, complemented
59#482×C89C411yescharacteristic, complemented
60#481×C89C411yescharacteristic, complemented
61#480×C89C411yescharacteristic, complemented
62#427×C89C2211yescharacteristic
63#427×C89C2211yescharacteristic
64#416×C89C2211yescharacteristic
65#416×C89C2211yescharacteristic
66C2×C22⋊C8×C89C2211yescharacteristic
67#15668019—22no—
68#15668019—22no—
69C2×#13083558—22no—
70C2×#13083558—22no—
71C2×#13083558—21no—
72C2×#13083558—22no—
73C2×#13083558—22no—
74C2×#13083558—21no—
75C2×#13083558D411yescharacteristic
76C2×#13083558D411yescharacteristic
77C2×#13083558D411yescharacteristic
78C2×#13083558D411yescharacteristic
79C2×#13083558C2311yescharacteristic
80C2×#13083558C2311yescharacteristic
81C2×#13083558C2311yescharacteristic
82C2×#13083558C2311yescharacteristic
83C22×#10623494—21no—
84C22×#10623494—21no—
85C22×#10623494C2311yescharacteristic
86C22×#10623494C2311yescharacteristic
87C2×C22⋊Dic89—21no—
88C2×C4×Dic89C2311yescharacteristic
89C2×C4×Dic89C2311yescharacteristic
90#15667948—22no—
91#15667948—22no—
92C4⋊#10623494—21no—
93C4⋊#10623494—21no—
94#15667939—22no—
95#15667939—22no—
96C22⋊#10623494—21no—
97C22⋊#10623494—21no—
98C22⋊#10623494—21no—
99C22⋊#10623494—21no—
100#15667923—21no—
101#15667923—21no—
102#15667923—21no—
103#15667923—21no—
104#15667923—21no—
105#15667922—22no—
106C4×#10623494—21no—
107C4×#10623494—21no—
108C4×#10623494—21no—
109C4×#10623494—21no—
110C4×#10623494—21no—
111C8×Dic89—22no—
112#15667919—21no—
113C2×#41×C89C2311yescharacteristic
114C23×C4×C89C2311yescharacteristic
115C22×C8×C89C2311yescharacteristic
116C22×C8×C89C2311yescharacteristic
117#123×C89—21no—
118C22⋊Q8×C89C2×C411yescharacteristic
119C22⋊Q8×C89C2×C411yescharacteristic
120#121×C89C2×C411yescharacteristic
121#121×C89C2×C411yescharacteristic
122#120×C89—21no—
123C4×D4×C89—21no—
124C4×D4×C89—21no—
125#117×C89—21no—
126#117×C89—21no—
127#117×C89C2×C411yescharacteristic
128#117×C89C2×C411yescharacteristic
129#117×C89C2311yescharacteristic
130#117×C89C2311yescharacteristic
131#117×C89C2311yescharacteristic
132C2×C4⋊C4×C89C2×C411yescharacteristic
133C2×C4⋊C4×C89C2×C411yescharacteristic
134C2×C22⋊C4×C89—21no—
135C2×C42×C89—21no—
136#107×C89C2×C411yescharacteristic
137#107×C89C2×C411yescharacteristic
138#107×C89C2×C411yescharacteristic
139#107×C89C2×C411yescharacteristic
140#106×C89C2×C411yescharacteristic
141#106×C89C2×C411yescharacteristic
142#106×C89C2×C411yescharacteristic
143#106×C89C2×C411yescharacteristic
144#103×C89C2×C411yescharacteristic
145#103×C89C2×C411yescharacteristic
146#103×C89C2×C411yescharacteristic
147#103×C89C2×C411yescharacteristic
148#102×C89C2×C411yescharacteristic
149#102×C89C2×C411yescharacteristic
150#102×C89C2×C411yescharacteristic
151#102×C89C2×C411yescharacteristic
152C22⋊C8×C89C2×C411yescharacteristic
153C22⋊C8×C89C2×C411yescharacteristic
154C22⋊C8×C89C2×C411yescharacteristic
155C22⋊C8×C89C2×C411yescharacteristic
156C22×Dic89—21no—
157C22×Dic89—21no—
158#13083558—24no—
159#13083558—21no—
160#13083558—21no—
161#13083558—22no—
162#13083558—22no—
163#13083558—22no—
164#13083558—22no—
165#13083558—21no—
166#13083558—21no—
167#13083558—21no—
168#13083558—21no—
169#13083558—42no—
170#13083558#4112yes—
171#13083558#4112yes—
172C2×#10623494—24no—
173C2×#10623494—21no—
174C2×#10623494—21no—
175C2×#10623494—21no—
176C2×#10623494—21no—
177C2×#10623494—21no—
178C2×#10623494—21no—
179C2×#10623494—42no—
180C2×#10623494C2×D411yescharacteristic
181C2×#10623494C2×D411yescharacteristic
182C2×#10623494C2×D411yescharacteristic
183C2×#10623494C2×D411yescharacteristic
184C2×#10623494#4112yes—
185C2×#10623494#4112yes—
186C22⋊Dic89—42no—
187C4×Dic89—21no—
188C4×Dic89—21no—
189C4×Dic89—21no—
190C4×Dic89—21no—
191C24×C89#4111yescharacteristic
192#41×C89—21no—
193#41×C89—21no—
194#41×C89—21no—
195#41×C89—21no—
196C2×Q8×C89C22×C411yescharacteristic
197C2×D4×C89—21no—
198C2×D4×C89—21no—
199C2×D4×C89—21no—
200C2×D4×C89C22×C411yescharacteristic
201C22×C4×C89—21no—
202C22×C4×C89—21no—
203C22×C4×C89—21no—
204C22×C4×C89—21no—
205C22×C4×C89—21no—
206C22×C4×C89—21no—
207C22×C4×C89—21no—
208C22×C4×C89C22×C411yescharacteristic
209C22×C4×C89C22×C411yescharacteristic
210C22×C4×C89C2×D411yescharacteristic
211C22×C4×C89C2×D411yescharacteristic
212C22×C4×C89#4111yescharacteristic
213C22×C4×C89C2411yescharacteristic
214C2×C8×C89—21no—
215C2×C8×C89—21no—
216C2×C8×C89—21no—
217C2×C8×C89—21no—
218C2×C8×C89C22×C411yescharacteristic
219C2×C8×C89C22×C411yescharacteristic
220C2×C8×C89C22×C411yescharacteristic
221C2×C8×C89C22×C411yescharacteristic
222C4⋊C4×C89—21no—
223C4⋊C4×C89—21no—
224C4⋊C4×C89—21no—
225C4⋊C4×C89—21no—
226C4⋊C4×C89C22×C411yescharacteristic
227C4⋊C4×C89C22×C411yescharacteristic
228C4⋊C4×C89C22×C411yescharacteristic
229C4⋊C4×C89C22×C411yescharacteristic
230C4⋊C4×C89C22×C411yescharacteristic
231C4⋊C4×C89C22×C411yescharacteristic
232C22⋊C4×C89—21no—
233C22⋊C4×C89—21no—
234C22⋊C4×C89—21no—
235C22⋊C4×C89—21no—
236C22⋊C4×C89—21no—
237C22⋊C4×C89—21no—
238C22⋊C4×C89—21no—
239C22⋊C4×C89—21no—
240C22⋊C4×C89—21no—
241C42×C89—21no—
242C42×C89—21no—
243C42×C89—21no—
244C42×C89—21no—
245C42×C89—21no—
246C23×C89—21no—
247C23×C89—21no—
248C23×C89—21no—
249C23×C89—41no—
250C23×C89—41no—
251C23×C89C4×D411yescharacteristic
252C23×C89C4×D411yescharacteristic
253C23×C89C2×#4111yescharacteristic
254Q8×C89—21no—
255Q8×C89—21no—
256D4×C89—21no—
257D4×C89—21no—
258D4×C89—41no—
259D4×C89—41no—
260D4×C89—81no—
261D4×C89—81no—
262C2×C4×C89—21no—
263C2×C4×C89—21no—
264C2×C4×C89—21no—
265C2×C4×C89—21no—
266C2×C4×C89—21no—
267C2×C4×C89—21no—
268C2×C4×C89—21no—
269C2×C4×C89—21no—
270C2×C4×C89—21no—
271C2×C4×C89—21no—
272C2×C4×C89—21no—
273C2×C4×C89—21no—
274C2×C4×C89—21no—
275C2×C4×C89—21no—
276C2×C4×C89—21no—
277C2×C4×C89—21no—
278C2×C4×C89—21no—
279C2×C4×C89—41no—
280C2×C4×C89—41no—
281C2×C4×C89—81no—
282C2×C4×C89—81no—
283C2×C4×C89C4×D411yescharacteristic
284C2×C4×C89C4×D411yescharacteristic
285C2×C4×C89C23×C411yescharacteristic
286C2×C4×C89C22×D411yescharacteristic
287C2×C4×C89C2×#4111yescharacteristic
288C2×C4×C89C2×#4111yescharacteristic
289C2×C4×C89C2×#4111yescharacteristic
290C2×C4×C89C2×#4111yescharacteristic
291C2×Dic89—22no—
292C2×Dic89—41no—
293C2×Dic89—41no—
294C2×Dic89—41no—
295C2×Dic89—41no—
296C2×Dic89—41no—
297C8×C89—21no—
298C8×C89—21no—
299C8×C89—21no—
300C8×C89—21no—
301#10623494—21no—
302#10623494—21no—
303#10623494—22no—
304#10623494—22no—
305#10623494—41no—
306#10623494—41no—
307#10623494#12312yes—
308#10623494#12312yes—
309C22×C89—21no—
310C22×C89—21no—
311C22×C89—21no—
312C22×C89—21no—
313C22×C89—21no—
314C22×C89—21no—
315C22×C89—21no—
316C22×C89—21no—
317C22×C89—41no—
318C22×C89—41no—
319C22×C89—41no—
320C22×C89—81no—
321C22×C89—81no—
322C22×C89C2×C4×D411yescharacteristic
323C22×C89#52911yescharacteristic
324C22×C89#52911yescharacteristic
325C4×C89—21no—
326C4×C89—21no—
327C4×C89—41no—
328C4×C89—41no—
329C4×C89—41no—
330C4×C89—41no—
331C4×C89—41no—
332C4×C89—41no—
333C4×C89—41no—
334C4×C89C4×#4111yescharacteristic
335C4×C89C4×#4111yescharacteristic
336C4×C89C2×#12311yescharacteristic
337C4×C89#52511yescharacteristic
338Dic89—42no—
339Dic89—81no—
340#21594—891nomaximal, Sylow
341C2×C89—21no—
342C2×C89—21no—
343C2×C89—41no—
344C2×C89—41no—
345C2×C89—81no—
346C2×C89C4×#12311yescharacteristic
347C2×C89#295611yescharacteristic
348C2×C89#295711yescharacteristic
349#3091D8911yescharacteristic
350#2930—891no—
351#2873—891no—
352#1929—891no—
353#1929—891no—
354#1922—891no—
355#1922—891no—
356#1871—891no—
357#1855—891no—
358#1826—891no—
359#1773—891no—
360#1772—891no—
361#1765—891no—
362#1764—891no—
363#1753—891no—
364C89#2159411yescharacteristic, complemented, Sylow
365C2×#131—891no—
366C22×M16—891no—
367C22×M16—891no—
368#525C2×D8911yescharacteristic
369C2×#117C2×D8911yescharacteristic
370#485Dic8911yescharacteristic, complemented
371#485Dic8911yescharacteristic, complemented
372#484Dic8911yescharacteristic, complemented
373#483Dic8911yescharacteristic, complemented
374#482Dic8911yescharacteristic, complemented
375#482Dic8911yescharacteristic, complemented
376#481Dic8911yescharacteristic, complemented
377#480Dic8911yescharacteristic, complemented
378#436—1781no—
379#436—1781no—
380#435—1781no—
381#435—1781no—
382C2×#108—891no—
383C2×#108—891no—
384#427C2×D8911yescharacteristic
385#427C2×D8911yescharacteristic
386#424—891no—
387C2×#104—891no—
388C2×#104—891no—
389#416C2×D8911yescharacteristic
390#416C2×D8911yescharacteristic
391#408—891no—
392#407—891no—
393C2×C22⋊C8C2×D8911yescharacteristic
394#405—891no—
395#405—891no—
396#405—891no—
397#405—891no—
398#405—891no—
399#405—1781no—
400#405—1781no—
401C4×M16—1781no—
402C4×M16—1781no—
403C2×#97—891no—
404C2×C4×C8—891no—
405C4×C22⋊C4—891no—
406#341—891no—
407#341—891no—
408#339—891no—
409#339—891no—
410#339—891no—
411#339—891no—
412#339—891no—
413#339—891no—
414#336—891no—
415#336—891no—
416C2×#41C22×D8911yescharacteristic
417C23×C4C22×D8911yescharacteristic
418#131—1782no—
419#131—1782no—
420C2×M16—891no—
421C2×M16—891no—
422C2×M16—891no—
423C2×M16—891no—
424C2×M16—891no—
425C2×M16—891no—
426C2×M16—891no—
427C2×M16—891no—
428C2×M16—1781no—
429C2×M16—1782no—
430C2×M16—1782no—
431C2×M16—1782no—
432C2×M16—1782no—
433C2×M16—1781no—
434C22×C8—891no—
435C22×C8—891no—
436C22×C8—1781no—
437C22×C8—1781no—
438C22×C8C22×D8911yescharacteristic
439C22×C8C22×D8911yescharacteristic
440#123—21no—
441C22⋊Q8C2×Dic8911yescharacteristic
442C22⋊Q8C2×Dic8911yescharacteristic
443#121C2×Dic8911yescharacteristic
444#121C2×Dic8911yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—21no—
449#117—21no—
450#117C2×Dic8911yescharacteristic
451#117C2×Dic8911yescharacteristic
452#117C22×D8911yescharacteristic
453#117C22×D8911yescharacteristic
454#117C22×D8911yescharacteristic
455C2×C4⋊C4C2×Dic8911yescharacteristic
456C2×C4⋊C4C2×Dic8911yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1781no—
459C2×C42—21no—
460C2×C42—891no—
461C2×C42—891no—
462#108—1782no—
463#108—1782no—
464#107C2×Dic8911yescharacteristic
465#107C2×Dic8911yescharacteristic
466#107C2×Dic8911yescharacteristic
467#107C2×Dic8911yescharacteristic
468#106C2×Dic8911yescharacteristic
469#106C2×Dic8911yescharacteristic
470#106C2×Dic8911yescharacteristic
471#106C2×Dic8911yescharacteristic
472C4⋊C8—1781no—
473C4⋊C8—1781no—
474#104—1782no—
475#104—1782no—
476#103C2×Dic8911yescharacteristic
477#103C2×Dic8911yescharacteristic
478#103C2×Dic8911yescharacteristic
479#103C2×Dic8911yescharacteristic
480#102C2×Dic8911yescharacteristic
481#102C2×Dic8911yescharacteristic
482#102C2×Dic8911yescharacteristic
483#102C2×Dic8911yescharacteristic
484C22⋊C8—1781no—
485C22⋊C8—1781no—
486C22⋊C8—1781no—
487C22⋊C8—1781no—
488C22⋊C8C2×Dic8911yescharacteristic
489C22⋊C8C2×Dic8911yescharacteristic
490C22⋊C8C2×Dic8911yescharacteristic
491C22⋊C8C2×Dic8911yescharacteristic
492#97—1781no—
493#97—1781no—
494#97—1781no—
495#97—1781no—
496#97—1781no—
497#97—1782no—
498C4×C8—1781no—
499C4×C8—1781no—
500C4×C8—1781no—
501C4×C8—1781no—
502C4×C8—1781no—
503C4×C8—1782no—
504#95—1781no—
505C24#1308357311yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C22×Dic8911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C22×Dic8911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—1781no—
523C22×C4—1781no—
524C22×C4C22×Dic8911yescharacteristic
525C22×C4C22×Dic8911yescharacteristic
526C22×C4D4×D8911yescharacteristic
527C22×C4D4×D8911yescharacteristic
528C22×C4#1308357311yescharacteristic
529C22×C4C23×D8911yescharacteristic
530M16—892no—
531M16—892no—
532M16—3562no—
533M16—1782no—
534M16—1782no—
535M16—1782no—
536M16—1782no—
537M16—1781no—
538M16—1781no—
539M16—1781no—
540M16—1781no—
541M16—1784no—
542M16—1781no—
543M16—1781no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—891no—
549C2×C8—891no—
550C2×C8—892no—
551C2×C8—892no—
552C2×C8—891no—
553C2×C8—891no—
554C2×C8—3562no—
555C2×C8—1781no—
556C2×C8—1781no—
557C2×C8—1784no—
558C2×C8—1781no—
559C2×C8—1781no—
560C2×C8—1781no—
561C2×C8—1781no—
562C2×C8C22×Dic8911yescharacteristic
563C2×C8C22×Dic8911yescharacteristic
564C2×C8C22×Dic8911yescharacteristic
565C2×C8C22×Dic8911yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C22×Dic8911yescharacteristic
571C4⋊C4C22×Dic8911yescharacteristic
572C4⋊C4C22×Dic8911yescharacteristic
573C4⋊C4C22×Dic8911yescharacteristic
574C4⋊C4C22×Dic8911yescharacteristic
575C4⋊C4C22×Dic8911yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—3562no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—1781no—
592C42—1781no—
593C42—1781no—
594C42—1781no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23D4×Dic8911yescharacteristic
601C23D4×Dic8911yescharacteristic
602C23C2×#1308357311yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—3561no—
633C2×C4—3561no—
634C2×C4—3561no—
635C2×C4—3561no—
636C2×C4—3561no—
637C2×C4—1782no—
638C2×C4D4×Dic8911yescharacteristic
639C2×C4D4×Dic8911yescharacteristic
640C2×C4C23×Dic8911yescharacteristic
641C2×C4C2×D4×D8911yescharacteristic
642C2×C4#41×D8911yescharacteristic
643C2×C4#41×D8911yescharacteristic
644C2×C4#41×D8911yescharacteristic
645C2×C4#41×D8911yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—892no—
651C8—892no—
652C8—3561no—
653C8—3561no—
654C8—1781no—
655C8—1781no—
656C8—1782no—
657C8—1782no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×D4×Dic8911yescharacteristic
672C22#1915212511yescharacteristic
673C22#1915212511yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—3562no—
684C4—7121no—
685C4#41×Dic8911yescharacteristic
686C4#41×Dic8911yescharacteristic
687C4#123×D8911yescharacteristic
688C4#1915210611yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#123×Dic8911yescharacteristic
695C2#2602916211yescharacteristic
696C2#2602916911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D89
commutatorC2×C4×C89C23×C4
FrattiniC22×C4C23×D89
FittingC89×#3091C2
socleC22×C89C2×C4×D4
prime radical#525×C89C22
cosocleC22×C4×C89C24
hypercenter#3091D89
hypocenterC89#21594
LCSG ▷ C2×C4×C89 ▷ C2×C89 ▷ C89
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #26028671C2semidirect
3. #26020902C2semidirect
4. #26020902C2semidirect
5. #26020853C2semidirect
6. #26020853C2semidirect
8. #26020459C2semidirect
9. #26020351C2semidirect
10. #26020138C2semidirect
11. #26020133C2semidirect
12. #26020099C2semidirect
13. #26020092C2semidirect
14. #26020038C2semidirect
54. #485×C89C4semidirect
55. #485×C89C4semidirect
56. #484×C89C4semidirect
57. #483×C89C4semidirect
58. #482×C89C4semidirect
59. #482×C89C4semidirect
60. #481×C89C4semidirect
61. #480×C89C4semidirect
364. C89#21594semidirect
370. #485Dic89semidirect
371. #485Dic89semidirect
372. #484Dic89semidirect
373. #483Dic89semidirect
374. #482Dic89semidirect
375. #482Dic89semidirect
376. #481Dic89semidirect
377. #480Dic89semidirect

Maximal subgroups

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

subgroupindex
#260289562
#260286712
#260209022
#260208532
#260205552
#260204592
#260203512
#260201382
#260201332
#260200992
#260200922
#260200382
C89×#30912
#2159489