Finite Group Databasebeta

← #28595266

Subgroups — #28595266

Order 15104.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837631C211yesmaximal, characteristic
2C2×#16837504C211yesmaximal, characteristic, complemented
3C4×#14273706C211yesmaximal, characteristic, complemented
4C4×#14273701C211yesmaximal, characteristic
5#21424977C211yesmaximal, characteristic, complemented
6#21424839C211yesmaximal, characteristic, complemented
7#21424793C211yesmaximal, characteristic, complemented
8#21424786C211yesmaximal, characteristic, complemented
9#21424524C211yesmaximal, characteristic
10#21424519C211yesmaximal, characteristic, complemented
11#21424125C211yesmaximal, characteristic, complemented
12#21423993C211yesmaximal, characteristic, complemented
13#21423927C211yesmaximal, characteristic, complemented
14#21423922C211yesmaximal, characteristic, complemented
15C22×#97×C59C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21C2×C4×C22⋊D59—21no—
22#16837631C418yescomplemented
23#16837504—24no—
24C2×#14273661C2211yescharacteristic
25C2×#14273661C2211yescharacteristic
26C2×#14273659C2211yescharacteristic
27C2×#14273652C2211yescharacteristic
28C2×#14273652C2211yescharacteristic
29C2×#14273652C2211yescharacteristic
30C2×#14273649C2211yescharacteristic
31C2×#14273649C2211yescharacteristic
32C2×#14273649C2211yescharacteristic
33#16837308C2211yescharacteristic
34#16837304C2211yescharacteristic
35#16837300C2211yescharacteristic
36#16837300C2211yescharacteristic
37#16837293—21no—
38#16837286—21no—
39#16837281—21no—
40#16837275—21no—
41#16837262C2211yescharacteristic
42#16837262C2211yescharacteristic
43C4×Dic59⋊C4—21no—
44C4×C4⋊Dic59C2211yescharacteristic
45C4×C4⋊Dic59C2211yescharacteristic
46C4×(C2×D59)⋊C4—21no—
47C4×C22⋊Dic59—21no—
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837165C2211yescharacteristic
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837165C2211yescharacteristic
54C23×C8×C59C2211yescharacteristic
55C23×C8×C59C2211yescharacteristic
56C22×C42×C59C2211yescharacteristic
57C2×#97×C59—24no—
58C2×#97×C59C2211yescharacteristic
59C2×#97×C59C2211yescharacteristic
60C2×#97×C59C2211yescharacteristic
61C2×#97×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745660—22no—
67C2×#11745660—22no—
68C2×#11745660C2×C414yescomplemented
69#14273706—22no—
70#14273706C2×C414yescomplemented
71#14273701—22no—
72#14273701C2×C414yes—
73C4×Dic118—22no—
74C4×Dic118—22no—
75C4×D236—22no—
76C4×D236—22no—
77C4×C22⋊D59—44no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C2×C22⋊Dic59—21no—
89C2×C22⋊Dic59—21no—
90C2×C22⋊Dic59—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4—21no—
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98#14273661—22no—
99#14273661—22no—
100#14273659C2×C414yescomplemented
101#14273652—22no—
102#14273652—22no—
103#14273652C2×C414yescomplemented
104#14273649—22no—
105#14273649—22no—
106#14273649C2×C414yescomplemented
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95—21no—
114C59⋊#95—21no—
115C23×C4×C59D411yescharacteristic
116C23×C4×C59D411yescharacteristic
117C23×C4×C59C2311yescharacteristic
118C22×C8×C59—22no—
119C22×C8×C59—22no—
120C22×C8×C59—22no—
121C22×C8×C59—22no—
122C22×C8×C59—22no—
123C22×C8×C59C2×C414yescomplemented
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C22×C8×C59C2311yescharacteristic
127C22×C8×C59C2311yescharacteristic
128C2×C42×C59—22no—
129C2×C42×C59—22no—
130C2×C42×C59D411yescharacteristic
131C2×C42×C59D411yescharacteristic
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#97×C59—22no—
135#97×C59—22no—
136#97×C59—22no—
137#97×C59D414yescomplemented
138C24×C59C2×D411yescharacteristic
139C23×D59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—41no—
149C22×C4×C59—41no—
150C22×C4×C59C22×C412yes—
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59#4112yes—
157C22×C4×C59C2411yescharacteristic
158C2×C22⋊D59—24no—
159C2×C22⋊D59—42no—
160C2×C22⋊D59—42no—
161C22×Dic59—21no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236C22×C412yes—
174C2×C4×D59—42no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118C22×C412yes—
183C2×C8×C59—28no—
184C2×C8×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C2×C8×C59—28no—
191C2×C8×C59C22×C412yes—
192C2×C8×C59C22×C412yes—
193C2×C8×C59C2×D412yes—
194C2×C8×C59C2×D412yes—
195C2×C8×C59#4112yes—
196C2×C8×C59#4112yes—
197C42×C59—22no—
198C42×C59—22no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59C2×D412yes—
202C42×C59#4112yes—
203C22⋊Dic59—24no—
204C22⋊Dic59—42no—
205C22⋊Dic59—42no—
206(C2×D59)⋊C4—24no—
207(C2×D59)⋊C4—42no—
208(C2×D59)⋊C4—42no—
209(C2×D59)⋊C4—42no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218C4⋊Dic59—21no—
219C4⋊Dic59—21no—
220C4⋊Dic59C22×C412yes—
221C4⋊Dic59C22×C412yes—
222Dic59⋊C4—24no—
223Dic59⋊C4—42no—
224Dic59⋊C4—42no—
225Dic59⋊C4—42no—
226C4×Dic59—42no—
227C4×Dic59—42no—
228C4×Dic59—42no—
229#11745660—28no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59C4×D412yes—
235C23×C59AGL(1,ℤ/8)12yes—
236C23×C59#13712yes—
237C23×C59C22×D411yescharacteristic
238C22×D59—22no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244C22×D59—41no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—44no—
262C2×C4×C59—44no—
263C2×C4×C59C4×D412yes—
264C2×C4×C59#12112yes—
265C2×C4×C59#12112yes—
266C2×C4×C59C23×C411yescharacteristic
267C2×C4×C59C22×D411yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C22⋊D59—48no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294D236—22no—
295D236—22no—
296D236—41no—
297D236—41no—
298C4×D59—84no—
299Dic118—22no—
300Dic118—22no—
301Dic118—41no—
302Dic118—41no—
303C8×C59—22no—
304C8×C59—22no—
305C8×C59—22no—
306C8×C59C4×D414yescomplemented
307#21528—591nomaximal, Sylow
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—22no—
314C22×C59#44014yescomplemented
315C22×C59C2×C4×D411yescharacteristic
316C22×C59C2×#12111yescharacteristic
317C22×C59#53211yescharacteristic
318C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C59C2×#13711yescharacteristic
320C22×C59#57511yescharacteristic
321C22×C59#57511yescharacteristic
322C2×D59—42no—
323C2×D59—42no—
324C2×D59—42no—
325C2×D59—81no—
326C2×D59—81no—
327C2×D59—81no—
328C2×D59—81no—
329C4×C59—22no—
330C4×C59—22no—
331C4×C59—22no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59C2×C4×D411yescharacteristic
335C4×C59C4×#4111yescharacteristic
336C4×C59#52511yescharacteristic
337C4×C59#52911yescharacteristic
338Dic59—42no—
339Dic59—42no—
340Dic59—42no—
341Dic59—81no—
342Dic59—81no—
343Dic59—81no—
344Dic59—81no—
345C2×#465—591no—
346C2×#440—591no—
347C22×#97D5911yescharacteristic, complemented
348C4×C22⋊Q8—591no—
349C4×#121—591no—
350#1973—591no—
351#1944—591no—
352#1936—591no—
353#1935—591no—
354#1893—591no—
355#1892—591no—
356#1808—591no—
357#1776—591no—
358#1763—591no—
359#1762—591no—
360C2×C59—24no—
361C2×C59C4×#12111yescharacteristic
362C2×C59C2×#44011yescharacteristic
363C2×C59#294311yescharacteristic
364C2×C59#305511yescharacteristic
365C2×C59#305611yescharacteristic
366C2×C59#318011yescharacteristic
367C2×C59#318111yescharacteristic
368D59—82no—
369C22×SD16—591no—
370C23×C8C2×D5911yescharacteristic
371C23×C8C2×D5911yescharacteristic
372C2×C22⋊Q8—591no—
373C2×#121—591no—
374C2×C4×Q8—591no—
375C2×C4×D4—591no—
376C2×C4×D4—1181no—
377C22×C42C2×D5911yescharacteristic
378#465—598no—
379#440—1184no—
380C2×#107—591no—
381C2×#107—591no—
382C2×#106—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#97—24no—
390C2×#97C2×D5911yescharacteristic
391C2×#97C2×D5911yescharacteristic
392C2×#97C2×D5911yescharacteristic
393C2×#97C2×D5911yescharacteristic
394#391—591no—
395#390—591no—
396#389—591no—
397#389—591no—
398#388—1181no—
399#387—1181no—
400#386—1181no—
401#385—1181no—
402#380—591no—
403#380—591no—
404C4×C4⋊C4—591no—
405C4×C4⋊C4—591no—
406C4×C4⋊C4—1181no—
407C4×C22⋊C4—1181no—
408C4×C22⋊C4—1181no—
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415C59#2152811yescharacteristic, complemented, Sylow
416C22×Q8—591no—
417C22×D4—591no—
418C22×D4—1181no—
419C23×C4—1181no—
420C23×C4D23611yescharacteristic
421C23×C4D23611yescharacteristic
422C23×C4C22×D5911yescharacteristic
423C2×SD16—594no—
424C2×SD16—1182no—
425C2×SD16—1182no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—22no—
430C22×C8—22no—
431C22×C8C4×D5914yescomplemented
432C22×C8C22×D5911yescharacteristic
433C22×C8C22×D5911yescharacteristic
434C22×C8C22×D5911yescharacteristic
435C22×C8C22×D5911yescharacteristic
436C22⋊Q8—594no—
437C22⋊Q8—1182no—
438#121—594no—
439#121—1182no—
440C4×Q8—1182no—
441C4×Q8—1182no—
442C4×D4—1182no—
443C4×D4—1182no—
444C4×D4—2364no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—591no—
450C2×C4⋊C4—591no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C42—22no—
463C2×C42—22no—
464C2×C42—1181no—
465C2×C42—1181no—
466C2×C42—1181no—
467C2×C42D23611yescharacteristic
468C2×C42D23611yescharacteristic
469C2×C42C22×D5911yescharacteristic
470C2×C42C22×D5911yescharacteristic
471#107—1182no—
472#107—1182no—
473#106—594no—
474#103—594no—
475#103—1182no—
476#103—1182no—
477#102—594no—
478#102—1182no—
479#102—1182no—
480#97—22no—
481#97—22no—
482#97—22no—
483#97C22⋊D5914yescomplemented
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492C24—1181no—
493C24C2×D23611yescharacteristic
494C2×Q8—592no—
495C2×Q8—1181no—
496C2×Q8—1181no—
497C2×Q8—1181no—
498C2×Q8—1181no—
499C2×Q8—1181no—
500C2×D4—592no—
501C2×D4—1184no—
502C2×D4—1181no—
503C2×D4—1181no—
504C2×D4—1181no—
505C2×D4—1181no—
506C2×D4—1181no—
507C2×D4—2362no—
508C2×D4—2362no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4—2362no—
529C22×C4C2×C4×D5912yes—
530C22×C4C2×D23611yescharacteristic
531C22×C4C2×D23611yescharacteristic
532C22×C4C2×D23611yescharacteristic
533C22×C4C2×D23611yescharacteristic
534C22×C4C2×D23611yescharacteristic
535C22×C4#1174568512yes—
536C22×C4C23×D5911yescharacteristic
537SD16—1188no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—28no—
546C2×C8C2×C4×D5912yes—
547C2×C8C2×C4×D5912yes—
548C2×C8#1174568512yes—
549C2×C8#1174568512yes—
550C2×C8C2×C22⋊D5912yes—
551C2×C8C2×C22⋊D5912yes—
552C4⋊C4—592no—
553C4⋊C4—592no—
554C4⋊C4—1184no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—2362no—
566C4⋊C4—2362no—
567C4⋊C4—2362no—
568C22⋊C4—1184no—
569C22⋊C4—1184no—
570C22⋊C4—2362no—
571C22⋊C4—2362no—
572C22⋊C4—2362no—
573C22⋊C4—2362no—
574C22⋊C4—2362no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—2362no—
580C42—2362no—
581C42—2362no—
582C42#1174568512yes—
583C42C2×C22⋊D5912yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—1182no—
589C23—2361no—
590C23—2361no—
591C23—2361no—
592C23—2361no—
593C23—2361no—
594C23—2361no—
595C23C4×D23612yes—
596C23#1427375512yes—
597C23#1427376012yes—
598C23C22×D23611yescharacteristic
599Q8—1182no—
600Q8—1182no—
601Q8—2361no—
602Q8—2361no—
603D4—1182no—
604D4—1182no—
605D4—2368no—
606D4—2361no—
607D4—2361no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—4724no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4C4×D23612yes—
649C2×C4#1427370112yes—
650C2×C4#1427370112yes—
651C2×C4C22×C4×D5911yescharacteristic
652C2×C4C22×C22⋊D5911yescharacteristic
653C2×C4C2×#1174568511yescharacteristic
654C2×C4C2×#1174568511yescharacteristic
655C2×C4C2×#1174568511yescharacteristic
656C2×C4C2×#1174568511yescharacteristic
657C8—22no—
658C8—22no—
659C8—22no—
660C8C4×C22⋊D5914yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—4721no—
668C22—4721no—
669C22—4721no—
670C22—4721no—
671C22—2362no—
672C22—2362no—
673C22—2362no—
674C22#1683750414yescomplemented
675C22C2×C4×D23611yescharacteristic
676C22C2×#1427370111yescharacteristic
677C22#1683795211yescharacteristic
678C22C2×#1427375511yescharacteristic
679C22C2×#1427376011yescharacteristic
680C22#1683820211yescharacteristic
681C22#1683820211yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—4721no—
688C4—4721no—
689C4—4721no—
690C4—4721no—
691C4—2362no—
692C4—2362no—
693C4—2362no—
694C4C2×C4×C22⋊D5911yescharacteristic
695C4C4×#1174568511yescharacteristic
696C4#1683791311yescharacteristic
697C4#1683793611yescharacteristic
698C2—24no—
699C2—4722no—
700C2C4×#1427370111yescharacteristic
701C2C2×#1683750411yescharacteristic
702C2#2143289811yescharacteristic
703C2#2143371511yescharacteristic
704C2#2143372611yescharacteristic
705C2#2143479411yescharacteristic
706C2#2143480511yescharacteristic
subgroupG/H
centerC23C22×D236
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC22×#97×C59C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenterC22×#97D59
hypocenterC59#21528
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C42 ◁ C22×#97

Complements

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

NH ≅ G/Ntype
2. C2×#16837504C2semidirect
3. C4×#14273706C2semidirect
5. #21424977C2semidirect
6. #21424839C2semidirect
7. #21424793C2semidirect
8. #21424786C2semidirect
10. #21424519C2semidirect
11. #21424125C2semidirect
12. #21423993C2semidirect
13. #21423927C2semidirect
14. #21423922C2semidirect
15. C22×#97×C59C2semidirect
22. #16837631C4semidirect
68. C2×#11745660C2×C4semidirect
70. #14273706C2×C4semidirect
100. #14273659C2×C4semidirect
103. #14273652C2×C4semidirect
106. #14273649C2×C4semidirect
123. C22×C8×C59C2×C4semidirect
137. #97×C59D4semidirect
306. C8×C59C4×D4semidirect
314. C22×C59#440semidirect
347. C22×#97D59semidirect
415. C59#21528semidirect
431. C22×C8C4×D59semidirect
483. #97C22⋊D59semidirect
660. C8C4×C22⋊D59semidirect
674. C22#16837504semidirect

Maximal subgroups

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

subgroupindex
C2×#168376312
C2×#168375042
C4×#142737062
C4×#142737012
#214249772
#214248392
#214247932
#214247862
#214245242
#214245192
#214241252
#214239932
#214239272
#214239222
C22×#97×C592
#2152859