Finite Group Databasebeta

← #34295669

Subgroups — #34295669

Order 20224.

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#23772104C211yesmaximal, characteristic
2#23771819C211yesmaximal, characteristic, complemented
3#23764050C211yesmaximal, characteristic, complemented
4#23764050C211yesmaximal, characteristic, complemented
5#23764001C211yesmaximal, characteristic, complemented
6#23764001C211yesmaximal, characteristic, complemented
7#23763703C211yesmaximal, characteristic
8#23763607C211yesmaximal, characteristic, complemented
9#23763499C211yesmaximal, characteristic, complemented
10#23763286C211yesmaximal, characteristic, complemented
11#23763281C211yesmaximal, characteristic, complemented
12#23763247C211yesmaximal, characteristic, complemented
13#23763240C211yesmaximal, characteristic, complemented
14#23763186C211yesmaximal, characteristic, complemented
15C79×#3091C211yesmaximal, characteristic
16C2×#14579168C2211yescharacteristic
17C22×#11929608C2211yescharacteristic
18C22×#11929608C2211yescharacteristic
19#19098641—21no—
20#19098641—21no—
21#19098635—21no—
22#19098635—21no—
23C2×#14579097C2211yescharacteristic
24C2×#14579097C2211yescharacteristic
25#19098590C2211yescharacteristic
26C2×#14579088C2211yescharacteristic
27C2×#14579088C2211yescharacteristic
28#19098530C2211yescharacteristic
29#19098527C2211yescharacteristic
30#19098519—21no—
31#19098519—21no—
32#19098519C2211yescharacteristic
33#19098519C2211yescharacteristic
34#19098519C2211yescharacteristic
35#19098519C2211yescharacteristic
36#19098519C2211yescharacteristic
37C4×#11929608—21no—
38C4×#11929608—21no—
39C2×#14579071C2211yescharacteristic
40C2×C8×Dic79C2211yescharacteristic
41C4×C22⋊Dic79C2211yescharacteristic
42#19098328C2211yescharacteristic
43#19098328C2211yescharacteristic
44#19098322C2211yescharacteristic
45#19098322C2211yescharacteristic
46#19098322C2211yescharacteristic
47#19098322C2211yescharacteristic
48#19098322C2211yescharacteristic
49#19098322C2211yescharacteristic
50#19098317C2211yescharacteristic
51#19098317C2211yescharacteristic
52#525×C79C2211yescharacteristic
53C2×#117×C79C2211yescharacteristic
54#485×C79C411yescharacteristic, complemented
55#485×C79C411yescharacteristic, complemented
56#484×C79C411yescharacteristic, complemented
57#483×C79C411yescharacteristic, complemented
58#482×C79C411yescharacteristic, complemented
59#482×C79C411yescharacteristic, complemented
60#481×C79C411yescharacteristic, complemented
61#480×C79C411yescharacteristic, complemented
62#427×C79C2211yescharacteristic
63#427×C79C2211yescharacteristic
64#416×C79C2211yescharacteristic
65#416×C79C2211yescharacteristic
66C2×C22⋊C8×C79C2211yescharacteristic
67#14579168—22no—
68#14579168—22no—
69C2×#11929608—21no—
70C2×#11929608—22no—
71C2×#11929608—22no—
72C2×#11929608—21no—
73C2×#11929608—22no—
74C2×#11929608—22no—
75C2×#11929608D411yescharacteristic
76C2×#11929608D411yescharacteristic
77C2×#11929608D411yescharacteristic
78C2×#11929608D411yescharacteristic
79C2×#11929608C2311yescharacteristic
80C2×#11929608C2311yescharacteristic
81C2×#11929608C2311yescharacteristic
82C2×#11929608C2311yescharacteristic
83C22×C79⋊C8—21no—
84C22×C79⋊C8—21no—
85C22×C79⋊C8C2311yescharacteristic
86C22×C79⋊C8C2311yescharacteristic
87C2×C22⋊Dic79—21no—
88C2×C4×Dic79C2311yescharacteristic
89C2×C4×Dic79C2311yescharacteristic
90#14579097—22no—
91#14579097—22no—
92C4⋊(C79⋊C8)—21no—
93C4⋊(C79⋊C8)—21no—
94#14579088—22no—
95#14579088—22no—
96C22⋊(C79⋊C8)—21no—
97C22⋊(C79⋊C8)—21no—
98C22⋊(C79⋊C8)—21no—
99C22⋊(C79⋊C8)—21no—
100#14579072—21no—
101#14579072—21no—
102#14579072—21no—
103#14579072—21no—
104#14579072—21no—
105#14579071—22no—
106C4×C79⋊C8—21no—
107C4×C79⋊C8—21no—
108C4×C79⋊C8—21no—
109C4×C79⋊C8—21no—
110C4×C79⋊C8—21no—
111C8×Dic79—22no—
112C79⋊#95—21no—
113C2×#41×C79C2311yescharacteristic
114C23×C4×C79C2311yescharacteristic
115C22×C8×C79C2311yescharacteristic
116C22×C8×C79C2311yescharacteristic
117#123×C79—21no—
118C22⋊Q8×C79C2×C411yescharacteristic
119C22⋊Q8×C79C2×C411yescharacteristic
120#121×C79C2×C411yescharacteristic
121#121×C79C2×C411yescharacteristic
122#120×C79—21no—
123C4×D4×C79—21no—
124C4×D4×C79—21no—
125#117×C79—21no—
126#117×C79—21no—
127#117×C79C2×C411yescharacteristic
128#117×C79C2×C411yescharacteristic
129#117×C79C2311yescharacteristic
130#117×C79C2311yescharacteristic
131#117×C79C2311yescharacteristic
132C2×C4⋊C4×C79C2×C411yescharacteristic
133C2×C4⋊C4×C79C2×C411yescharacteristic
134C2×C22⋊C4×C79—21no—
135C2×C42×C79—21no—
136#107×C79C2×C411yescharacteristic
137#107×C79C2×C411yescharacteristic
138#107×C79C2×C411yescharacteristic
139#107×C79C2×C411yescharacteristic
140#106×C79C2×C411yescharacteristic
141#106×C79C2×C411yescharacteristic
142#106×C79C2×C411yescharacteristic
143#106×C79C2×C411yescharacteristic
144#103×C79C2×C411yescharacteristic
145#103×C79C2×C411yescharacteristic
146#103×C79C2×C411yescharacteristic
147#103×C79C2×C411yescharacteristic
148#102×C79C2×C411yescharacteristic
149#102×C79C2×C411yescharacteristic
150#102×C79C2×C411yescharacteristic
151#102×C79C2×C411yescharacteristic
152C22⋊C8×C79C2×C411yescharacteristic
153C22⋊C8×C79C2×C411yescharacteristic
154C22⋊C8×C79C2×C411yescharacteristic
155C22⋊C8×C79C2×C411yescharacteristic
156C22×Dic79—21no—
157C22×Dic79—21no—
158#11929608—24no—
159#11929608—22no—
160#11929608—22no—
161#11929608—22no—
162#11929608—22no—
163#11929608—21no—
164#11929608—21no—
165#11929608—21no—
166#11929608—21no—
167#11929608—21no—
168#11929608—21no—
169#11929608—42no—
170#11929608#4112yes—
171#11929608#4112yes—
172C2×C79⋊C8—24no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8—21no—
176C2×C79⋊C8—21no—
177C2×C79⋊C8—21no—
178C2×C79⋊C8—21no—
179C2×C79⋊C8—42no—
180C2×C79⋊C8C2×D411yescharacteristic
181C2×C79⋊C8C2×D411yescharacteristic
182C2×C79⋊C8C2×D411yescharacteristic
183C2×C79⋊C8C2×D411yescharacteristic
184C2×C79⋊C8#4112yes—
185C2×C79⋊C8#4112yes—
186C22⋊Dic79—42no—
187C4×Dic79—21no—
188C4×Dic79—21no—
189C4×Dic79—21no—
190C4×Dic79—21no—
191C24×C79#4111yescharacteristic
192#41×C79—21no—
193#41×C79—21no—
194#41×C79—21no—
195#41×C79—21no—
196C2×Q8×C79C22×C411yescharacteristic
197C2×D4×C79—21no—
198C2×D4×C79—21no—
199C2×D4×C79—21no—
200C2×D4×C79C22×C411yescharacteristic
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—21no—
208C22×C4×C79C22×C411yescharacteristic
209C22×C4×C79C22×C411yescharacteristic
210C22×C4×C79C2×D411yescharacteristic
211C22×C4×C79C2×D411yescharacteristic
212C22×C4×C79#4111yescharacteristic
213C22×C4×C79C2411yescharacteristic
214C2×C8×C79—21no—
215C2×C8×C79—21no—
216C2×C8×C79—21no—
217C2×C8×C79—21no—
218C2×C8×C79C22×C411yescharacteristic
219C2×C8×C79C22×C411yescharacteristic
220C2×C8×C79C22×C411yescharacteristic
221C2×C8×C79C22×C411yescharacteristic
222C4⋊C4×C79—21no—
223C4⋊C4×C79—21no—
224C4⋊C4×C79—21no—
225C4⋊C4×C79—21no—
226C4⋊C4×C79C22×C411yescharacteristic
227C4⋊C4×C79C22×C411yescharacteristic
228C4⋊C4×C79C22×C411yescharacteristic
229C4⋊C4×C79C22×C411yescharacteristic
230C4⋊C4×C79C22×C411yescharacteristic
231C4⋊C4×C79C22×C411yescharacteristic
232C22⋊C4×C79—21no—
233C22⋊C4×C79—21no—
234C22⋊C4×C79—21no—
235C22⋊C4×C79—21no—
236C22⋊C4×C79—21no—
237C22⋊C4×C79—21no—
238C22⋊C4×C79—21no—
239C22⋊C4×C79—21no—
240C22⋊C4×C79—21no—
241C42×C79—21no—
242C42×C79—21no—
243C42×C79—21no—
244C42×C79—21no—
245C42×C79—21no—
246C23×C79—21no—
247C23×C79—21no—
248C23×C79—21no—
249C23×C79—41no—
250C23×C79—41no—
251C23×C79C4×D411yescharacteristic
252C23×C79C4×D411yescharacteristic
253C23×C79C2×#4111yescharacteristic
254Q8×C79—21no—
255Q8×C79—21no—
256D4×C79—21no—
257D4×C79—21no—
258D4×C79—41no—
259D4×C79—41no—
260D4×C79—81no—
261D4×C79—81no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—21no—
270C2×C4×C79—21no—
271C2×C4×C79—21no—
272C2×C4×C79—21no—
273C2×C4×C79—21no—
274C2×C4×C79—21no—
275C2×C4×C79—21no—
276C2×C4×C79—21no—
277C2×C4×C79—21no—
278C2×C4×C79—21no—
279C2×C4×C79—41no—
280C2×C4×C79—41no—
281C2×C4×C79—81no—
282C2×C4×C79—81no—
283C2×C4×C79C4×D411yescharacteristic
284C2×C4×C79C4×D411yescharacteristic
285C2×C4×C79C23×C411yescharacteristic
286C2×C4×C79C22×D411yescharacteristic
287C2×C4×C79C2×#4111yescharacteristic
288C2×C4×C79C2×#4111yescharacteristic
289C2×C4×C79C2×#4111yescharacteristic
290C2×C4×C79C2×#4111yescharacteristic
291C2×Dic79—22no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—41no—
295C2×Dic79—41no—
296C2×Dic79—41no—
297C8×C79—21no—
298C8×C79—21no—
299C8×C79—21no—
300C8×C79—21no—
301C79⋊C8—21no—
302C79⋊C8—21no—
303C79⋊C8—22no—
304C79⋊C8—22no—
305C79⋊C8—41no—
306C79⋊C8—41no—
307C79⋊C8#12312yes—
308C79⋊C8#12312yes—
309C22×C79—21no—
310C22×C79—21no—
311C22×C79—21no—
312C22×C79—21no—
313C22×C79—21no—
314C22×C79—21no—
315C22×C79—21no—
316C22×C79—21no—
317C22×C79—41no—
318C22×C79—41no—
319C22×C79—41no—
320C22×C79—81no—
321C22×C79—81no—
322C22×C79C2×C4×D411yescharacteristic
323C22×C79#52911yescharacteristic
324C22×C79#52911yescharacteristic
325C4×C79—21no—
326C4×C79—21no—
327C4×C79—41no—
328C4×C79—41no—
329C4×C79—41no—
330C4×C79—41no—
331C4×C79—41no—
332C4×C79—41no—
333C4×C79—41no—
334C4×C79C4×#4111yescharacteristic
335C4×C79C4×#4111yescharacteristic
336C4×C79C2×#12311yescharacteristic
337C4×C79#52511yescharacteristic
338Dic79—42no—
339Dic79—81no—
340#21594—791nomaximal, Sylow
341C2×C79—21no—
342C2×C79—21no—
343C2×C79—41no—
344C2×C79—41no—
345C2×C79—81no—
346C2×C79C4×#12311yescharacteristic
347C2×C79#295611yescharacteristic
348C2×C79#295711yescharacteristic
349#3091D7911yescharacteristic
350#2930—791no—
351#2873—791no—
352#1929—791no—
353#1929—791no—
354#1922—791no—
355#1922—791no—
356#1871—791no—
357#1855—791no—
358#1826—791no—
359#1773—791no—
360#1772—791no—
361#1765—791no—
362#1764—791no—
363#1753—791no—
364C79#2159411yescharacteristic, complemented, Sylow
365C2×#131—791no—
366C22×M16—791no—
367C22×M16—791no—
368#525C2×D7911yescharacteristic
369C2×#117C2×D7911yescharacteristic
370#485Dic7911yescharacteristic, complemented
371#485Dic7911yescharacteristic, complemented
372#484Dic7911yescharacteristic, complemented
373#483Dic7911yescharacteristic, complemented
374#482Dic7911yescharacteristic, complemented
375#482Dic7911yescharacteristic, complemented
376#481Dic7911yescharacteristic, complemented
377#480Dic7911yescharacteristic, complemented
378#436—1581no—
379#436—1581no—
380#435—1581no—
381#435—1581no—
382C2×#108—791no—
383C2×#108—791no—
384#427C2×D7911yescharacteristic
385#427C2×D7911yescharacteristic
386#424—791no—
387C2×#104—791no—
388C2×#104—791no—
389#416C2×D7911yescharacteristic
390#416C2×D7911yescharacteristic
391#408—791no—
392#407—791no—
393C2×C22⋊C8C2×D7911yescharacteristic
394#405—791no—
395#405—791no—
396#405—791no—
397#405—791no—
398#405—791no—
399#405—1581no—
400#405—1581no—
401C4×M16—1581no—
402C4×M16—1581no—
403C2×#97—791no—
404C2×C4×C8—791no—
405C4×C22⋊C4—791no—
406#341—791no—
407#341—791no—
408#339—791no—
409#339—791no—
410#339—791no—
411#339—791no—
412#339—791no—
413#339—791no—
414#336—791no—
415#336—791no—
416C2×#41C22×D7911yescharacteristic
417C23×C4C22×D7911yescharacteristic
418#131—1582no—
419#131—1582no—
420C2×M16—791no—
421C2×M16—791no—
422C2×M16—791no—
423C2×M16—791no—
424C2×M16—791no—
425C2×M16—791no—
426C2×M16—791no—
427C2×M16—791no—
428C2×M16—1581no—
429C2×M16—1582no—
430C2×M16—1582no—
431C2×M16—1582no—
432C2×M16—1582no—
433C2×M16—1581no—
434C22×C8—791no—
435C22×C8—791no—
436C22×C8—1581no—
437C22×C8—1581no—
438C22×C8C22×D7911yescharacteristic
439C22×C8C22×D7911yescharacteristic
440#123—21no—
441C22⋊Q8C2×Dic7911yescharacteristic
442C22⋊Q8C2×Dic7911yescharacteristic
443#121C2×Dic7911yescharacteristic
444#121C2×Dic7911yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—21no—
449#117—21no—
450#117C2×Dic7911yescharacteristic
451#117C2×Dic7911yescharacteristic
452#117C22×D7911yescharacteristic
453#117C22×D7911yescharacteristic
454#117C22×D7911yescharacteristic
455C2×C4⋊C4C2×Dic7911yescharacteristic
456C2×C4⋊C4C2×Dic7911yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1581no—
459C2×C42—21no—
460C2×C42—791no—
461C2×C42—791no—
462#108—1582no—
463#108—1582no—
464#107C2×Dic7911yescharacteristic
465#107C2×Dic7911yescharacteristic
466#107C2×Dic7911yescharacteristic
467#107C2×Dic7911yescharacteristic
468#106C2×Dic7911yescharacteristic
469#106C2×Dic7911yescharacteristic
470#106C2×Dic7911yescharacteristic
471#106C2×Dic7911yescharacteristic
472C4⋊C8—1581no—
473C4⋊C8—1581no—
474#104—1582no—
475#104—1582no—
476#103C2×Dic7911yescharacteristic
477#103C2×Dic7911yescharacteristic
478#103C2×Dic7911yescharacteristic
479#103C2×Dic7911yescharacteristic
480#102C2×Dic7911yescharacteristic
481#102C2×Dic7911yescharacteristic
482#102C2×Dic7911yescharacteristic
483#102C2×Dic7911yescharacteristic
484C22⋊C8—1581no—
485C22⋊C8—1581no—
486C22⋊C8—1581no—
487C22⋊C8—1581no—
488C22⋊C8C2×Dic7911yescharacteristic
489C22⋊C8C2×Dic7911yescharacteristic
490C22⋊C8C2×Dic7911yescharacteristic
491C22⋊C8C2×Dic7911yescharacteristic
492#97—1581no—
493#97—1581no—
494#97—1581no—
495#97—1581no—
496#97—1581no—
497#97—1582no—
498C4×C8—1581no—
499C4×C8—1581no—
500C4×C8—1581no—
501C4×C8—1581no—
502C4×C8—1581no—
503C4×C8—1582no—
504#95—1581no—
505C24#1192962311yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C22×Dic7911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C22×Dic7911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4C22×Dic7911yescharacteristic
525C22×C4C22×Dic7911yescharacteristic
526C22×C4D4×D7911yescharacteristic
527C22×C4D4×D7911yescharacteristic
528C22×C4#1192962311yescharacteristic
529C22×C4C23×D7911yescharacteristic
530M16—3162no—
531M16—792no—
532M16—792no—
533M16—1581no—
534M16—1581no—
535M16—1581no—
536M16—1581no—
537M16—1582no—
538M16—1582no—
539M16—1582no—
540M16—1582no—
541M16—1584no—
542M16—1581no—
543M16—1581no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—3162no—
549C2×C8—792no—
550C2×C8—792no—
551C2×C8—791no—
552C2×C8—791no—
553C2×C8—791no—
554C2×C8—791no—
555C2×C8—1581no—
556C2×C8—1581no—
557C2×C8—1584no—
558C2×C8—1581no—
559C2×C8—1581no—
560C2×C8—1581no—
561C2×C8—1581no—
562C2×C8C22×Dic7911yescharacteristic
563C2×C8C22×Dic7911yescharacteristic
564C2×C8C22×Dic7911yescharacteristic
565C2×C8C22×Dic7911yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C22×Dic7911yescharacteristic
571C4⋊C4C22×Dic7911yescharacteristic
572C4⋊C4C22×Dic7911yescharacteristic
573C4⋊C4C22×Dic7911yescharacteristic
574C4⋊C4C22×Dic7911yescharacteristic
575C4⋊C4C22×Dic7911yescharacteristic
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—3162no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—1581no—
592C42—1581no—
593C42—1581no—
594C42—1581no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23D4×Dic7911yescharacteristic
601C23D4×Dic7911yescharacteristic
602C23C2×#1192962311yescharacteristic
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—3161no—
633C2×C4—3161no—
634C2×C4—3161no—
635C2×C4—3161no—
636C2×C4—3161no—
637C2×C4—1582no—
638C2×C4D4×Dic7911yescharacteristic
639C2×C4D4×Dic7911yescharacteristic
640C2×C4C23×Dic7911yescharacteristic
641C2×C4C2×D4×D7911yescharacteristic
642C2×C4#41×D7911yescharacteristic
643C2×C4#41×D7911yescharacteristic
644C2×C4#41×D7911yescharacteristic
645C2×C4#41×D7911yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—3161no—
651C8—3161no—
652C8—792no—
653C8—792no—
654C8—1581no—
655C8—1581no—
656C8—1582no—
657C8—1582no—
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×Dic7911yescharacteristic
672C22#1909909011yescharacteristic
673C22#1909909011yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—3162no—
684C4—6321no—
685C4#41×Dic7911yescharacteristic
686C4#41×Dic7911yescharacteristic
687C4#123×D7911yescharacteristic
688C4#1909907111yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#123×Dic7911yescharacteristic
695C2#2377231011yescharacteristic
696C2#2377231711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#3091C2
socleC22×C79C2×C4×D4
prime radical#525×C79C22
cosocleC22×C4×C79C24
hypercenter#3091D79
hypocenterC79#21594
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #23771819C2semidirect
3. #23764050C2semidirect
4. #23764050C2semidirect
5. #23764001C2semidirect
6. #23764001C2semidirect
8. #23763607C2semidirect
9. #23763499C2semidirect
10. #23763286C2semidirect
11. #23763281C2semidirect
12. #23763247C2semidirect
13. #23763240C2semidirect
14. #23763186C2semidirect
54. #485×C79C4semidirect
55. #485×C79C4semidirect
56. #484×C79C4semidirect
57. #483×C79C4semidirect
58. #482×C79C4semidirect
59. #482×C79C4semidirect
60. #481×C79C4semidirect
61. #480×C79C4semidirect
364. C79#21594semidirect
370. #485Dic79semidirect
371. #485Dic79semidirect
372. #484Dic79semidirect
373. #483Dic79semidirect
374. #482Dic79semidirect
375. #482Dic79semidirect
376. #481Dic79semidirect
377. #480Dic79semidirect

Maximal subgroups

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

subgroupindex
#237721042
#237718192
#237640502
#237640012
#237637032
#237636072
#237634992
#237632862
#237632812
#237632472
#237632402
#237631862
C79×#30912
#2159479