Finite Group Databasebeta

← #34196455

Subgroups — #34196455

Order 20224.

814 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14579094C211yesmaximal, characteristic
2C2×#19098325C211yesmaximal, characteristic
3C2×#19098325C211yesmaximal, characteristic
4C2×#19098325C211yesmaximal, characteristic
5C2×#19098318C211yesmaximal, characteristic
6#23761630C211yesmaximal, characteristic
7C79×C4⋊#95C211yesmaximal, characteristic
8C23×C79⋊C8C2211yescharacteristic
9C23×C79⋊C8C2211yescharacteristic
10C22×C4⋊Dic79C2211yescharacteristic
11C22×C4⋊Dic79C2211yescharacteristic
12C2×#14579094—22no—
13C2×#14579094—22no—
14C2×#14579094—22no—
15C2×C79⋊#95—21no—
16C2×C79⋊#95—21no—
17#19098325—22no—
18#19098325—22no—
19#19098325C414yescomplemented
20#19098318—22no—
21C22×C4⋊C4×C79C2211yescharacteristic
22C22×C4⋊C4×C79C2211yescharacteristic
23C22×C42×C79C2211yescharacteristic
24C2×#95×C79—21no—
25C2×#95×C79—21no—
26C23×Dic79—21no—
27C23×Dic79—21no—
28C22×C79⋊C8—21no—
29C22×C79⋊C8—21no—
30C22×C79⋊C8—21no—
31C22×C79⋊C8—21no—
32C22×C79⋊C8—21no—
33C22×C79⋊C8—21no—
34C22×C79⋊C8—21no—
35C22×C79⋊C8—21no—
36C22×C79⋊C8—21no—
37C22×C79⋊C8—21no—
38C22×C79⋊C8C2×C412yes—
39C22×C79⋊C8D412yes—
40C22×C79⋊C8Q812yes—
41C22×C79⋊C8Q812yes—
42C2×C4⋊Dic79—21no—
43C2×C4⋊Dic79—21no—
44C2×C4⋊Dic79—21no—
45C2×C4⋊Dic79—21no—
46C2×C4⋊Dic79—21no—
47C2×C4⋊Dic79—21no—
48C2×C4⋊Dic79—21no—
49C2×C4⋊Dic79—21no—
50C2×C4⋊Dic79—21no—
51C2×C4⋊Dic79—21no—
52C2×C4⋊Dic79C2×C412yes—
53C2×C4⋊Dic79D412yes—
54#14579094—28no—
55C79⋊#95—42no—
56C79⋊#95—42no—
57C23×C4×C79—21no—
58C23×C4×C79—21no—
59C23×C4×C79D411yescharacteristic
60C23×C4×C79D411yescharacteristic
61C23×C4×C79C2311yescharacteristic
62C2×C4⋊C4×C79—21no—
63C2×C4⋊C4×C79—21no—
64C2×C4⋊C4×C79—21no—
65C2×C4⋊C4×C79—21no—
66C2×C4⋊C4×C79—21no—
67C2×C4⋊C4×C79—21no—
68C2×C4⋊C4×C79—21no—
69C2×C4⋊C4×C79—21no—
70C2×C4⋊C4×C79—21no—
71C2×C4⋊C4×C79—21no—
72C2×C4⋊C4×C79C2×C412yes—
73C2×C4⋊C4×C79D412yes—
74C2×C42×C79—21no—
75C2×C42×C79—21no—
76C2×C42×C79—21no—
77C2×C42×C79—21no—
78C2×C42×C79—21no—
79C2×C42×C79—21no—
80#95×C79—42no—
81#95×C79—42no—
82C22×Dic79—22no—
83C22×Dic79—22no—
84C22×Dic79—41no—
85C22×Dic79—41no—
86C22×Dic79—41no—
87C22×Dic79—41no—
88C22×Dic79—41no—
89C22×Dic79—41no—
90C22×Dic79—41no—
91C22×Dic79—41no—
92C22×Dic79—41no—
93C22×Dic79—41no—
94C22×Dic79—41no—
95C22×Dic79—41no—
96C2×C79⋊C8—22no—
97C2×C79⋊C8—22no—
98C2×C79⋊C8—22no—
99C2×C79⋊C8—22no—
100C2×C79⋊C8—22no—
101C2×C79⋊C8—22no—
102C2×C79⋊C8—22no—
103C2×C79⋊C8—22no—
104C2×C79⋊C8—22no—
105C2×C79⋊C8—41no—
106C2×C79⋊C8—41no—
107C2×C79⋊C8—41no—
108C2×C79⋊C8—41no—
109C2×C79⋊C8C4⋊C414yes—
110C4⋊Dic79—22no—
111C4⋊Dic79—22no—
112C4⋊Dic79—22no—
113C4⋊Dic79—22no—
114C4⋊Dic79—41no—
115C4⋊Dic79—41no—
116C4⋊Dic79—41no—
117C4⋊Dic79—41no—
118C24×C79C2×D411yescharacteristic
119C22×C4×C79—21no—
120C22×C4×C79—21no—
121C22×C4×C79—21no—
122C22×C4×C79—21no—
123C22×C4×C79—21no—
124C22×C4×C79—21no—
125C22×C4×C79—21no—
126C22×C4×C79—21no—
127C22×C4×C79—21no—
128C22×C4×C79—21no—
129C22×C4×C79—21no—
130C22×C4×C79—21no—
131C22×C4×C79—22no—
132C22×C4×C79—22no—
133C22×C4×C79—41no—
134C22×C4×C79—41no—
135C22×C4×C79—41no—
136C22×C4×C79—41no—
137C22×C4×C79—41no—
138C22×C4×C79—41no—
139C22×C4×C79—41no—
140C22×C4×C79—41no—
141C22×C4×C79—41no—
142C22×C4×C79—41no—
143C22×C4×C79—41no—
144C22×C4×C79—41no—
145C22×C4×C79D812yes—
146C22×C4×C79Q1612yes—
147C22×C4×C79C22×C411yescharacteristic
148C22×C4×C79C2×D411yescharacteristic
149C22×C4×C79C2×D411yescharacteristic
150C22×C4×C79C2×D411yescharacteristic
151C22×C4×C79C2×Q811yescharacteristic
152C22×C4×C79C2×Q811yescharacteristic
153C22×C4×C79#4111yescharacteristic
154C22×C4×C79#4111yescharacteristic
155C22×C4×C79#4111yescharacteristic
156C22×C4×C79#4111yescharacteristic
157C22×C4×C79#4111yescharacteristic
158C22×C4×C79#4111yescharacteristic
159C22×C4×C79#4111yescharacteristic
160C22×C4×C79#4111yescharacteristic
161C4⋊C4×C79—22no—
162C4⋊C4×C79—22no—
163C4⋊C4×C79—22no—
164C4⋊C4×C79—22no—
165C4⋊C4×C79—41no—
166C4⋊C4×C79—41no—
167C4⋊C4×C79—41no—
168C4⋊C4×C79—41no—
169C42×C79—41no—
170C42×C79—41no—
171C42×C79—41no—
172C42×C79—41no—
173C23×C79C4×D411yescharacteristic
174C23×C79#12111yescharacteristic
175C23×C79#12111yescharacteristic
176C23×C79#12111yescharacteristic
177C23×C79#12311yescharacteristic
178C23×C79#12311yescharacteristic
179C23×C79C4⋊Q811yescharacteristic
180C23×C79C2×D811yescharacteristic
181C23×C79C2×Q1611yescharacteristic
182C23×C79#13511yescharacteristic
183C23×C79#13511yescharacteristic
184C23×C79AGL(1,ℤ/8)11yescharacteristic
185C23×C79AGL(1,ℤ/8)11yescharacteristic
186C23×C79#13711yescharacteristic
187C23×C79#13711yescharacteristic
188C2×C4×C79—22no—
189C2×C4×C79—22no—
190C2×C4×C79—22no—
191C2×C4×C79—22no—
192C2×C4×C79—22no—
193C2×C4×C79—22no—
194C2×C4×C79—41no—
195C2×C4×C79—41no—
196C2×C4×C79—41no—
197C2×C4×C79—41no—
198C2×C4×C79—41no—
199C2×C4×C79—41no—
200C2×C4×C79—41no—
201C2×C4×C79—41no—
202C2×C4×C79—42no—
203C2×C4×C79—42no—
204C2×C4×C79—42no—
205C2×C4×C79—42no—
206C2×C4×C79—42no—
207C2×C4×C79—42no—
208C2×C4×C79—81no—
209C2×C4×C79—81no—
210C2×C4×C79—81no—
211C2×C4×C79—81no—
212C2×C4×C79—81no—
213C2×C4×C79—81no—
214C2×C4×C79—81no—
215C2×C4×C79—81no—
216C2×C4×C79C2×C4⋊C411yescharacteristic
217C2×C4×C79#11711yescharacteristic
218C2×C4×C79#11711yescharacteristic
219C2×C4×C79C4×D411yescharacteristic
220C2×C4×C79C4×D411yescharacteristic
221C2×C4×C79C4×Q811yescharacteristic
222C2×C4×C79#12011yescharacteristic
223C2×C4×C79C22⋊Q811yescharacteristic
224C2×C4×C79C22⋊Q811yescharacteristic
225C2×C4×C79C22⋊Q811yescharacteristic
226C2×C4×C79C22⋊Q811yescharacteristic
227C2×C4×C79C22⋊Q811yescharacteristic
228C2×C4×C79#12311yescharacteristic
229C2×C4×C79#12311yescharacteristic
230C2×C4×C79#12311yescharacteristic
231C2×C4×C79#12411yescharacteristic
232C2×C4×C79#12411yescharacteristic
233C2×C4×C79#12411yescharacteristic
234C2×C4×C79#12411yescharacteristic
235C2×C4×C79#12511yescharacteristic
236C2×C4×C79#12511yescharacteristic
237C2×C4×C79#12511yescharacteristic
238C2×C4×C79#12511yescharacteristic
239C2×C4×C79#12511yescharacteristic
240C2×C4×C79#12611yescharacteristic
241C2×C4×C79#12611yescharacteristic
242C2×C4×C79#12611yescharacteristic
243C2×C4×C79#12611yescharacteristic
244C2×Dic79—42no—
245C2×Dic79—42no—
246C2×Dic79—42no—
247C2×Dic79—42no—
248C2×Dic79—42no—
249C2×Dic79—42no—
250C2×Dic79—81no—
251C2×Dic79—81no—
252C2×Dic79—81no—
253C2×Dic79—81no—
254C2×Dic79—81no—
255C2×Dic79—81no—
256C2×Dic79—81no—
257C2×Dic79—81no—
258C79⋊C8—24no—
259C79⋊C8—42no—
260C22×C79#38811yescharacteristic
261C22×C79#38811yescharacteristic
262C22×C79#38911yescharacteristic
263C22×C79#39411yescharacteristic
264C22×C79#39711yescharacteristic
265C22×C79#39811yescharacteristic
266C22×C79#39811yescharacteristic
267C22×C79C4×D811yescharacteristic
268C22×C79C4×Q1611yescharacteristic
269C22×C79#44011yescharacteristic
270C22×C79#44011yescharacteristic
271C22×C79#45911yescharacteristic
272C22×C79#45911yescharacteristic
273C22×C79#46211yescharacteristic
274C22×C79#46211yescharacteristic
275C22×C79#46311yescharacteristic
276C22×C79#46311yescharacteristic
277C22×C79#46411yescharacteristic
278C22×C79#46411yescharacteristic
279C22×C79#46611yescharacteristic
280C22×C79#46711yescharacteristic
281C22×C79#46911yescharacteristic
282C22×C79#47011yescharacteristic
283C22×C79#48011yescharacteristic
284C22×C79#48011yescharacteristic
285C22×C79#48211yescharacteristic
286C22×C79#48211yescharacteristic
287C22×C79#48411yescharacteristic
288C22×C79#48411yescharacteristic
289C22×C79#48511yescharacteristic
290C22×C79#48511yescharacteristic
291C22×C79#49911yescharacteristic
292C22×C79#50011yescharacteristic
293C22×C79#50111yescharacteristic
294C22×C79#50111yescharacteristic
295C4×C79—42no—
296C4×C79—42no—
297C4×C79—82no—
298C4×C79—82no—
299C4×C79#38211yescharacteristic
300C4×C79#38511yescharacteristic
301C4×C79#38711yescharacteristic
302C4×C79#38711yescharacteristic
303C4×C79#39311yescharacteristic
304C4×C79#40011yescharacteristic
305C4×C79#40011yescharacteristic
306C4×C79#40011yescharacteristic
307Dic79—82no—
308Dic79—82no—
309#11256—791nomaximal, Sylow
310C2×C79#144211yescharacteristic
311C2×C79#192511yescharacteristic
312C2×C79#192511yescharacteristic
313C2×C79#192811yescharacteristic
314C2×C79#192811yescharacteristic
315C2×C79#194211yescharacteristic
316C2×C79#194411yescharacteristic
317C2×C79#205411yescharacteristic
318C2×C79#205611yescharacteristic
319C2×C79#207511yescharacteristic
320C2×C79#207611yescharacteristic
321C2×C79#208311yescharacteristic
322C2×C79#208311yescharacteristic
323C2×C79#208511yescharacteristic
324C2×C79#208511yescharacteristic
325C22×#107—791no—
326C2×#340—791no—
327C2×#340—791no—
328C2×#340—791no—
329C2×#336—791no—
330C4⋊#95—791no—
331C4⋊#95D7911yescharacteristic
332C79#1125611yescharacteristic, complemented, Sylow
333C23×C8—791no—
334C23×C8—791no—
335C22×C4⋊C4—791no—
336C22×C4⋊C4—791no—
337C22×C4⋊C4C2×D7911yescharacteristic
338C22×C4⋊C4C2×D7911yescharacteristic
339C22×C42C2×D7911yescharacteristic
340C2×#107—1582no—
341C2×#107—1582no—
342C2×#107—1582no—
343C2×#95—21no—
344C2×#95—21no—
345C2×#95—1581no—
346C2×#95—1581no—
347#340—794no—
348#340—1582no—
349#340—1582no—
350#336—1582no—
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—1581no—
354C23×C4—1581no—
355C23×C4C22⋊D7911yescharacteristic
356C23×C4C22⋊D7911yescharacteristic
357C23×C4C22×D7911yescharacteristic
358C22×C8—792no—
359C22×C8—792no—
360C22×C8—792no—
361C22×C8—792no—
362C22×C8—1581no—
363C22×C8—1581no—
364C22×C8—1581no—
365C22×C8—1581no—
366C22×C8—1581no—
367C22×C8—1581no—
368C22×C8—1581no—
369C22×C8—1581no—
370C22×C8—1581no—
371C22×C8—1581no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—792no—
383C2×C4⋊C4—792no—
384C2×C4⋊C4—1581no—
385C2×C4⋊C4—1581no—
386C2×C4⋊C4—1581no—
387C2×C4⋊C4—1581no—
388C2×C4⋊C4—1581no—
389C2×C4⋊C4—1581no—
390C2×C4⋊C4—1581no—
391C2×C4⋊C4—1581no—
392C2×C4⋊C4—1581no—
393C2×C4⋊C4—1581no—
394C2×C4⋊C4C4×D7912yes—
395C2×C4⋊C4D31612yes—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402#107—1588no—
403#95—42no—
404#95—42no—
405#95—3162no—
406#95—3162no—
407C24C2×C22⋊D7911yescharacteristic
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—3161no—
435C22×C4—3161no—
436C22×C4—3161no—
437C22×C4—3161no—
438C22×C4—3161no—
439C22×C4—3161no—
440C22×C4—3161no—
441C22×C4—3161no—
442C22×C4—3161no—
443C22×C4—3161no—
444C22×C4—3161no—
445C22×C4—3161no—
446C22×C4—1582no—
447C22×C4—1582no—
448C22×C4#1192960912yes—
449C22×C4#1192961412yes—
450C22×C4C2×C4×D7911yescharacteristic
451C22×C4D4×D7911yescharacteristic
452C22×C4D4×D7911yescharacteristic
453C22×C4C2×D31611yescharacteristic
454C22×C4Q8×D7911yescharacteristic
455C22×C4Q8×D7911yescharacteristic
456C22×C4#1192962311yescharacteristic
457C22×C4#1192962311yescharacteristic
458C22×C4#1192962311yescharacteristic
459C22×C4#1192962311yescharacteristic
460C22×C4#1192962411yescharacteristic
461C22×C4#1192962411yescharacteristic
462C22×C4#1192962411yescharacteristic
463C22×C4#1192962411yescharacteristic
464C2×C8—3161no—
465C2×C8—3161no—
466C2×C8—3161no—
467C2×C8—3161no—
468C2×C8—794no—
469C2×C8—1582no—
470C2×C8—1582no—
471C2×C8—1582no—
472C2×C8—1582no—
473C2×C8—1582no—
474C2×C8—1582no—
475C2×C8—1582no—
476C2×C8—1582no—
477C2×C8—1582no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—41no—
483C4⋊C4—41no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—3161no—
487C4⋊C4—3161no—
488C4⋊C4—3161no—
489C4⋊C4—3161no—
490C4⋊C4—1582no—
491C4⋊C4—1582no—
492C4⋊C4—1582no—
493C4⋊C4—1582no—
494C42—41no—
495C42—41no—
496C42—41no—
497C42—41no—
498C23C4×C22⋊D7911yescharacteristic
499C23#1457913211yescharacteristic
500C23#1457913311yescharacteristic
501C23#1457913511yescharacteristic
502C23#1457914211yescharacteristic
503C23#1457914411yescharacteristic
504C23#1457915911yescharacteristic
505C23C2×#1192960911yescharacteristic
506C23C2×#1192961411yescharacteristic
507C23#1457918111yescharacteristic
508C23#1457918111yescharacteristic
509C23#1457918611yescharacteristic
510C23#1457918711yescharacteristic
511C23#1457919111yescharacteristic
512C23#1457919211yescharacteristic
513C2×C4—22no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—41no—
520C2×C4—41no—
521C2×C4—41no—
522C2×C4—41no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—3162no—
542C2×C4—3162no—
543C2×C4—3162no—
544C2×C4—3162no—
545C2×C4—3162no—
546C2×C4—3162no—
547C2×C4—6321no—
548C2×C4—6321no—
549C2×C4—6321no—
550C2×C4—6321no—
551C2×C4—6321no—
552C2×C4—6321no—
553C2×C4—6321no—
554C2×C4—6321no—
555C2×C4C4⋊C4×D7911yescharacteristic
556C2×C4#1457911711yescharacteristic
557C2×C4#1457911811yescharacteristic
558C2×C4(C22⋊D79)⋊C411yescharacteristic
559C2×C4C4×D31611yescharacteristic
560C2×C4#1457912611yescharacteristic
561C2×C4#1457913111yescharacteristic
562C2×C4#1457913911yescharacteristic
563C2×C4#1457913911yescharacteristic
564C2×C4#1457913911yescharacteristic
565C2×C4#1457914111yescharacteristic
566C2×C4#1457914111yescharacteristic
567C2×C4#1457914311yescharacteristic
568C2×C4#1457914311yescharacteristic
569C2×C4#1457914511yescharacteristic
570C2×C4#1457914711yescharacteristic
571C2×C4#1457914711yescharacteristic
572C2×C4#1457914711yescharacteristic
573C2×C4#1457914911yescharacteristic
574C2×C4#1457915111yescharacteristic
575C2×C4#1457915111yescharacteristic
576C2×C4#1457915111yescharacteristic
577C2×C4#1457915111yescharacteristic
578C2×C4#1457915111yescharacteristic
579C2×C4#1457915411yescharacteristic
580C2×C4#1457915411yescharacteristic
581C2×C4#1457915411yescharacteristic
582C2×C4#1457915511yescharacteristic
583C8—3162no—
584C8—1584no—
585C22#1909845111yescharacteristic
586C22#1909845411yescharacteristic
587C22#1909845811yescharacteristic
588C22#1909847911yescharacteristic
589C22#1909849111yescharacteristic
590C22#1909849311yescharacteristic
591C22#1909849411yescharacteristic
592C22C4×#1192960911yescharacteristic
593C22C4×#1192961411yescharacteristic
594C22#1909866111yescharacteristic
595C22#1909866311yescharacteristic
596C22#1909875511yescharacteristic
597C22#1909875811yescharacteristic
598C22#1909877011yescharacteristic
599C22#1909877311yescharacteristic
600C22#1909877511yescharacteristic
601C22#1909877811yescharacteristic
602C22#1909878211yescharacteristic
603C22#1909878511yescharacteristic
604C22#1909879711yescharacteristic
605C22#1909880211yescharacteristic
606C22#1909881411yescharacteristic
607C22#1909881911yescharacteristic
608C22#1909887411yescharacteristic
609C22#1909887611yescharacteristic
610C22#1909888411yescharacteristic
611C22#1909888711yescharacteristic
612C22#1909889611yescharacteristic
613C22#1909889811yescharacteristic
614C22#1909890111yescharacteristic
615C22#1909890411yescharacteristic
616C22#1909896211yescharacteristic
617C22#1909896611yescharacteristic
618C22#1909896911yescharacteristic
619C22#1909897311yescharacteristic
620C4—42no—
621C4—42no—
622C4—82no—
623C4—82no—
624C4—6322no—
625C4—6322no—
626C4#1909842711yescharacteristic
627C4#1909843711yescharacteristic
628C4#1909844511yescharacteristic
629C4#1909844811yescharacteristic
630C4#1909847611yescharacteristic
631C4#1909850311yescharacteristic
632C4#1909850411yescharacteristic
633C4#1909850411yescharacteristic
634C2#2376165511yescharacteristic
635C2#2376401711yescharacteristic
636C2#2376402011yescharacteristic
637C2#2376403811yescharacteristic
638C2#2376404111yescharacteristic
639C2#2376413011yescharacteristic
640C2#2376414011yescharacteristic
641C2#2376471011yescharacteristic
642C2#2376472211yescharacteristic
643C2#2376482611yescharacteristic
644C2#2376483111yescharacteristic
645C2#2376487111yescharacteristic
646C2#2376487211yescharacteristic
647C2#2376488111yescharacteristic
648C2#2376488211yescharacteristic
subgroupG/H
centerC24C2×C22⋊D79
commutatorC22×C4×C79C22×C4
FrattiniC23×C4C22×D79
FittingC79×C4⋊#95C2
socle, prime radicalC24×C79C2×D4
cosocleC23×C4×C79C23
hypercenterC4⋊#95D79
hypocenterC79#11256
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #19098325C4semidirect
332. C79#11256semidirect

Maximal subgroups

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

subgroupindex
C22×#145790942
C2×#190983252
C2×#190983182
#237616302
C79×C4⋊#952
#1125679