Finite Group Databasebeta

← #34306470

Subgroups — #34306470

Order 20224.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098635C211yesmaximal, characteristic
2C2×#19098606C211yesmaximal, characteristic, complemented
3C2×#19098599C211yesmaximal, characteristic, complemented
4#23766329C211yesmaximal, characteristic
5#23764168C211yesmaximal, characteristic, complemented
6#23764161C211yesmaximal, characteristic, complemented
7#23763599C211yesmaximal, characteristic, complemented
8#23763599C211yesmaximal, characteristic, complemented
9#23763597C211yesmaximal, characteristic, complemented
10#23763592C211yesmaximal, characteristic, complemented
11#23763566C211yesmaximal, characteristic, complemented
12#23763431C211yesmaximal, characteristic, complemented
13#23763423C211yesmaximal, characteristic, complemented
14#23763298C211yesmaximal, characteristic, complemented
15C79×#2354C211yesmaximal, characteristic
16C22×#11929608C2211yescharacteristic
17C23×C79⋊C8C2211yescharacteristic
18C2×#14579120C2211yescharacteristic
19C22×C4⋊Dic79C2211yescharacteristic
20#19098635C418yescomplemented
21#19098606—24no—
22#19098599—24no—
23C2×#14579094C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×#14579094C2211yescharacteristic
26C2×#14579094C2211yescharacteristic
27C2×#14579092C2211yescharacteristic
28C2×#14579092C2211yescharacteristic
29C2×#14579092C2211yescharacteristic
30C2×#14579092C2211yescharacteristic
31C2×#14579092C2211yescharacteristic
32C2×#14579092C2211yescharacteristic
33C2×C4⋊(C79⋊C8)C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35C2×C22⋊(C79⋊C8)C2211yescharacteristic
36C2×#14579072C2211yescharacteristic
37#19098456—21no—
38#19098449—21no—
39#19098443—21no—
40#19098429C2211yescharacteristic
41#19098423C2211yescharacteristic
42#19098423C2211yescharacteristic
43C4×C4⋊Dic79C2211yescharacteristic
44C22⋊C4×Dic79—21no—
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098325C2211yescharacteristic
49#19098325C2211yescharacteristic
50#19098325C2211yescharacteristic
51C2×C4×D4×C79C2211yescharacteristic
52C2×#117×C79C2211yescharacteristic
53C2×#117×C79C2211yescharacteristic
54#390×C79—21no—
55#388×C79—21no—
56#388×C79—21no—
57#384×C79C2211yescharacteristic
58#380×C79C2211yescharacteristic
59#380×C79C2211yescharacteristic
60C4×C4⋊C4×C79—21no—
61C4×C4⋊C4×C79C2211yescharacteristic
62C23×Dic79—21no—
63C2×#11929608—22no—
64C2×#11929608—22no—
65C2×#11929608C2×C414yes—
66C22×C79⋊C8—22no—
67C22×C79⋊C8—22no—
68C22×C79⋊C8C2×C414yescomplemented
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71C22×C79⋊C8C2311yescharacteristic
72C22×C79⋊C8C2311yescharacteristic
73#14579120—22no—
74#14579120—41no—
75C2×C4⋊Dic79—22no—
76C2×C4⋊Dic79—21no—
77C2×C4⋊Dic79—41no—
78C2×C4⋊Dic79C2311yescharacteristic
79C2×C4⋊Dic79C2311yescharacteristic
80C2×C4⋊Dic79C2311yescharacteristic
81C2×C4⋊Dic79C2311yescharacteristic
82C2×C22⋊Dic79—21no—
83C2×C22⋊Dic79—21no—
84C2×C22⋊Dic79—21no—
85C2×C4×Dic79—21no—
86C2×C4×Dic79—21no—
87#14579094—22no—
88#14579094—22no—
89#14579094—41no—
90#14579094D414yescomplemented
91#14579092—22no—
92#14579092—22no—
93#14579092—22no—
94#14579092—22no—
95#14579092—22no—
96#14579092—41no—
97C4⋊(C79⋊C8)C2×C414yescomplemented
98C22⋊(C79⋊C8)C2×C414yes—
99C22⋊(C79⋊C8)C2×C414yescomplemented
100#14579072C2×C414yescomplemented
101C79⋊#95—21no—
102C79⋊#95—21no—
103C79⋊#95—21no—
104C79⋊#95—21no—
105C79⋊#95—21no—
106C22×D4×C79D411yescharacteristic
107C23×C4×C79C2311yescharacteristic
108C23×C4×C79C2311yescharacteristic
109C4×D4×C79C2×C414yes—
110C4×D4×C79Q814yes—
111#117×C79—22no—
112#117×C79—22no—
113#117×C79—41no—
114#117×C79—41no—
115C2×C4⋊C4×C79—21no—
116C2×C4⋊C4×C79—21no—
117C2×C4⋊C4×C79D411yescharacteristic
118C2×C4⋊C4×C79C2311yescharacteristic
119C2×C4⋊C4×C79C2311yescharacteristic
120C2×C4⋊C4×C79C2311yescharacteristic
121C2×C4⋊C4×C79C2311yescharacteristic
122C2×C22⋊C4×C79—21no—
123C2×C22⋊C4×C79—21no—
124C2×C22⋊C4×C79—21no—
125C2×C22⋊C4×C79—21no—
126C2×C22⋊C4×C79D411yescharacteristic
127C2×C22⋊C4×C79D411yescharacteristic
128C2×C42×C79—21no—
129C2×C42×C79—21no—
130C2×C42×C79—21no—
131C2×C42×C79C2311yescharacteristic
132#95×C79—21no—
133#95×C79—21no—
134#95×C79—21no—
135C22×Dic79—21no—
136C22×Dic79—21no—
137C22×Dic79—21no—
138C22×Dic79—21no—
139C22×Dic79—42no—
140C22×Dic79—42no—
141C22×Dic79—81no—
142#11929608—28no—
143C2×C79⋊C8—28no—
144C2×C79⋊C8—21no—
145C2×C79⋊C8—21no—
146C2×C79⋊C8—21no—
147C2×C79⋊C8—21no—
148C2×C79⋊C8—21no—
149C2×C79⋊C8—21no—
150C2×C79⋊C8C22×C412yes—
151C2×C79⋊C8C22×C412yes—
152C2×C79⋊C8C22×C412yes—
153C2×C79⋊C8C22×C412yes—
154C2×C79⋊C8C2×D412yes—
155C2×C79⋊C8#4112yes—
156C4⋊Dic79—21no—
157C4⋊Dic79—21no—
158C4⋊Dic79—21no—
159C4⋊Dic79—21no—
160C4⋊Dic79—21no—
161C4⋊Dic79—21no—
162C4⋊Dic79—21no—
163C4⋊Dic79—42no—
164C4⋊Dic79C2×D412yes—
165C22⋊Dic79—42no—
166C22⋊Dic79—42no—
167C22⋊Dic79—81no—
168C4×Dic79—42no—
169C4×Dic79—81no—
170C24×C79C2×D411yescharacteristic
171C24×C79C2×D411yescharacteristic
172C2×D4×C79—41no—
173C2×D4×C79—41no—
174C2×D4×C79C4⋊C414yes—
175C22×C4×C79—21no—
176C22×C4×C79—21no—
177C22×C4×C79—21no—
178C22×C4×C79—21no—
179C22×C4×C79—21no—
180C22×C4×C79—21no—
181C22×C4×C79—21no—
182C22×C4×C79—21no—
183C22×C4×C79—21no—
184C22×C4×C79—21no—
185C22×C4×C79—21no—
186C22×C4×C79—21no—
187C22×C4×C79C22×C412yes—
188C22×C4×C79C22×C412yes—
189C22×C4×C79C2×D411yescharacteristic
190C22×C4×C79C2×D411yescharacteristic
191C22×C4×C79C2×D411yescharacteristic
192C22×C4×C79C2×D411yescharacteristic
193C22×C4×C79C2×Q812yes—
194C22×C4×C79C2×Q812yes—
195C22×C4×C79C2411yescharacteristic
196C4⋊C4×C79—21no—
197C4⋊C4×C79—21no—
198C4⋊C4×C79—21no—
199C4⋊C4×C79—21no—
200C4⋊C4×C79—21no—
201C4⋊C4×C79—21no—
202C4⋊C4×C79—21no—
203C4⋊C4×C79—42no—
204C4⋊C4×C79—81no—
205C4⋊C4×C79C4⋊C414yes—
206C4⋊C4×C79C2×D412yes—
207C22⋊C4×C79—42no—
208C22⋊C4×C79—42no—
209C22⋊C4×C79—81no—
210C22⋊C4×C79—81no—
211C22⋊C4×C79C4⋊C414yes—
212C22⋊C4×C79C4⋊C414yes—
213C42×C79—42no—
214C42×C79—42no—
215C42×C79—42no—
216C42×C79C22×C412yes—
217C42×C79C2×Q812yes—
218C23×C79—21no—
219C23×C79—21no—
220C23×C79—21no—
221C23×C79—21no—
222C23×C79—21no—
223C23×C79—21no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79C2×C4⋊C412yes—
231C23×C79C2×C4⋊C412yes—
232C23×C79C22×D411yescharacteristic
233D4×C79—44no—
234C2×C4×C79—21no—
235C2×C4×C79—21no—
236C2×C4×C79—21no—
237C2×C4×C79—21no—
238C2×C4×C79—21no—
239C2×C4×C79—21no—
240C2×C4×C79—21no—
241C2×C4×C79—21no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—41no—
252C2×C4×C79—41no—
253C2×C4×C79—41no—
254C2×C4×C79—41no—
255C2×C4×C79—41no—
256C2×C4×C79—41no—
257C2×C4×C79—41no—
258C2×C4×C79—41no—
259C2×C4×C79—41no—
260C2×C4×C79—41no—
261C2×C4×C79—41no—
262C2×C4×C79C2×C4⋊C412yes—
263C2×C4×C79C2×C4⋊C412yes—
264C2×C4×C79C2×C4⋊C412yes—
265C2×C4×C79C2×C4⋊C412yes—
266C2×C4×C79C23×C411yescharacteristic
267C2×C4×C79C22×D411yescharacteristic
268C2×C4×C79C22×Q811yescharacteristic
269C2×C4×C79C2×#4111yescharacteristic
270C2×C4×C79H(5,𝔽2)11yescharacteristic
271C2×C4×C792−1+411yescharacteristic
272C2×Dic79—22no—
273C2×Dic79—41no—
274C2×Dic79—41no—
275C2×Dic79—41no—
276C2×Dic79—41no—
277C2×Dic79—41no—
278C2×Dic79—41no—
279C2×Dic79—41no—
280C2×Dic79—41no—
281C2×Dic79—41no—
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—84no—
285C79⋊C8—22no—
286C79⋊C8—22no—
287C79⋊C8—22no—
288C79⋊C8C4×D414yes—
289C22×C79—22no—
290C22×C79—22no—
291C22×C79—22no—
292C22×C79—22no—
293C22×C79—22no—
294C22×C79—22no—
295C22×C79—41no—
296C22×C79—41no—
297C22×C79—41no—
298C22×C79—41no—
299C22×C79—41no—
300C22×C79—41no—
301C22×C79—41no—
302C22×C79—41no—
303C22×C79C22×C4⋊C411yescharacteristic
304C22×C79D4211yescharacteristic
305C22×C79#54711yescharacteristic
306C22×C79#57511yescharacteristic
307C22×C79#57511yescharacteristic
308C22×C79#57711yescharacteristic
309C22×C79#57711yescharacteristic
310C4×C79—22no—
311C4×C79—22no—
312C4×C79—22no—
313C4×C79—22no—
314C4×C79—42no—
315C4×C79—81no—
316C4×C79—81no—
317C4×C79—81no—
318C4×C79C2×C4×D411yescharacteristic
319C4×C79#52011yescharacteristic
320C4×C79D4×Q811yescharacteristic
321C4×C79#55411yescharacteristic
322Dic79—42no—
323Dic79—81no—
324Dic79—81no—
325Dic79—81no—
326#22662—791nomaximal, Sylow
327C2×C79—42no—
328C2×C79—42no—
329C2×C79D4×C4⋊C411yescharacteristic
330C2×C79#291111yescharacteristic
331C2×C79#291211yescharacteristic
332C2×C79#326711yescharacteristic
333C2×C79#327111yescharacteristic
334C2×C79#334811yescharacteristic
335C2×C79#335011yescharacteristic
336C2×#435—791no—
337C2×#428—791no—
338C2×#427—791no—
339#2354D7911yescharacteristic
340#2352—791no—
341#1949—791no—
342#1948—791no—
343#1854—791no—
344#1854—791no—
345#1854—791no—
346#1853—791no—
347#1847—791no—
348#1809—791no—
349#1807—791no—
350#1776—791no—
351C79#2266211yescharacteristic, complemented, Sylow
352C22×M16—791no—
353C23×C8—791no—
354C2×C4×D4C2×D7911yescharacteristic
355C2×#117—791no—
356C2×#117C2×D7911yescharacteristic
357C2×#117C2×D7911yescharacteristic
358C22×C4⋊C4—791no—
359#435—798no—
360#428—1584no—
361#427—1584no—
362C2×#107—791no—
363C2×#107—791no—
364C2×#107—791no—
365C2×#107—791no—
366C2×#106—791no—
367C2×#106—791no—
368C2×#106—791no—
369C2×#106—791no—
370C2×#106—791no—
371C2×#106—791no—
372C2×C4⋊C8—791no—
373C2×C22⋊C8—791no—
374C2×C22⋊C8—791no—
375C2×#97—791no—
376#390—21no—
377#388—21no—
378#388—21no—
379#388—1581no—
380#387—1581no—
381#386—1581no—
382#384C2×D7911yescharacteristic
383#382—791no—
384#380—791no—
385#380—791no—
386#380C2×D7911yescharacteristic
387#380C2×D7911yescharacteristic
388C4×C4⋊C4—21no—
389C4×C4⋊C4—791no—
390C4×C4⋊C4C2×D7911yescharacteristic
391C4×C22⋊C4—1581no—
392#340—791no—
393#340—791no—
394#340—791no—
395#340—791no—
396#340—791no—
397#340—791no—
398C22×D4C22⋊D7911yescharacteristic
399C23×C4—1581no—
400C23×C4C22×D7911yescharacteristic
401C23×C4C22×D7911yescharacteristic
402C2×M16—794no—
403C2×M16—1582no—
404C2×M16—1582no—
405C22×C8—791no—
406C22×C8—794no—
407C22×C8—791no—
408C22×C8—791no—
409C22×C8—791no—
410C22×C8—1582no—
411C22×C8—1582no—
412C4×D4Dic15814yes—
413C4×D4C4×D7914yes—
414#117—22no—
415#117—22no—
416#117—41no—
417#117—41no—
418#117—3161no—
419#117—1582no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—3161no—
423C2×C4⋊C4—791no—
424C2×C4⋊C4—791no—
425C2×C4⋊C4—791no—
426C2×C4⋊C4—791no—
427C2×C4⋊C4—1581no—
428C2×C4⋊C4—1582no—
429C2×C4⋊C4C22⋊D7911yescharacteristic
430C2×C4⋊C4C22×D7911yescharacteristic
431C2×C4⋊C4C22×D7911yescharacteristic
432C2×C4⋊C4C22×D7911yescharacteristic
433C2×C4⋊C4C22×D7911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—1581no—
439C2×C22⋊C4—1581no—
440C2×C22⋊C4—1581no—
441C2×C22⋊C4C22⋊D7911yescharacteristic
442C2×C22⋊C4C22⋊D7911yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—1581no—
447C2×C42—1581no—
448C2×C42C22×D7911yescharacteristic
449#107—3161no—
450#107—794no—
451#107—1582no—
452#107—1582no—
453#106—3161no—
454#106—1582no—
455#106—1582no—
456#106—1582no—
457#106—1582no—
458#106—1582no—
459C4⋊C8—794no—
460C22⋊C8—794no—
461C22⋊C8—794no—
462#97—794no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1581no—
467#95—1581no—
468#95—1581no—
469#95—1581no—
470#95—1581no—
471C24C2×C22⋊D7911yescharacteristic
472C24C2×C22⋊D7911yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4Dic79⋊C414yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—3162no—
489C22×C4—3162no—
490C22×C4—6321no—
491C22×C4—1581no—
492C22×C4—1581no—
493C22×C4—1581no—
494C22×C4—1581no—
495C22×C4C2×C4×D7912yes—
496C22×C4C2×C4×D7912yes—
497C22×C4C2×C22⋊D7911yescharacteristic
498C22×C4C2×C22⋊D7911yescharacteristic
499C22×C4C2×C22⋊D7911yescharacteristic
500C22×C4C2×C22⋊D7911yescharacteristic
501C22×C4C2×Dic15812yes—
502C22×C4C2×Dic15812yes—
503C22×C4C23×D7911yescharacteristic
504M16—1588no—
505C2×C8—792no—
506C2×C8—792no—
507C2×C8—792no—
508C2×C8—792no—
509C2×C8—792no—
510C2×C8—792no—
511C2×C8—1588no—
512C2×C8—1581no—
513C2×C8—1581no—
514C2×C8—1581no—
515C2×C8—1581no—
516C2×C8—1581no—
517C2×C8—1581no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4—3162no—
528C4⋊C4—792no—
529C4⋊C4—1581no—
530C4⋊C4—1581no—
531C4⋊C4—1581no—
532C4⋊C4—1581no—
533C4⋊C4—1581no—
534C4⋊C4—1581no—
535C4⋊C4—1581no—
536C4⋊C4Dic79⋊C414yes—
537C4⋊C4D4×D7912yes—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—3162no—
543C22⋊C4—3162no—
544C22⋊C4—6321no—
545C22⋊C4Dic79⋊C414yes—
546C22⋊C4Dic79⋊C414yes—
547C42—42no—
548C42—42no—
549C42—42no—
550C42—3162no—
551C42—6321no—
552C42C2×C4×D7912yes—
553C42C2×Dic15812yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×Dic79⋊C412yes—
567C23C2×Dic79⋊C412yes—
568C23C22×C22⋊D7911yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—3161no—
599C2×C4—3161no—
600C2×C4—3161no—
601C2×C4—3161no—
602C2×C4—3161no—
603C2×C4—3161no—
604C2×C4—3161no—
605C2×C4—3161no—
606C2×C4—3161no—
607C2×C4—3161no—
608C2×C4—3161no—
609C2×C4—6324no—
610C2×C4—1582no—
611C2×C4C2×Dic79⋊C412yes—
612C2×C4C2×Dic79⋊C412yes—
613C2×C4C2×Dic79⋊C412yes—
614C2×C4C2×Dic79⋊C412yes—
615C2×C4C22×C4×D7911yescharacteristic
616C2×C4C2×D4×D7911yescharacteristic
617C2×C4C22×Dic15811yescharacteristic
618C2×C4#41×D7911yescharacteristic
619C2×C4#1457920611yescharacteristic
620C2×C4#1457920811yescharacteristic
621C8—794no—
622C8—1582no—
623C8—1582no—
624C8—1582no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C22×Dic79⋊C411yescharacteristic
640C22D4×C22⋊D7911yescharacteristic
641C22#1909921211yescharacteristic
642C22#1909936111yescharacteristic
643C22#1909936111yescharacteristic
644C22#1909937111yescharacteristic
645C22#1909937411yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—3162no—
655C4—6321no—
656C4—6321no—
657C4—6321no—
658C4C4×D4×D7911yescharacteristic
659C4#1909904211yescharacteristic
660C4D4×Dic15811yescharacteristic
661C4#1909927211yescharacteristic
662C2—42no—
663C2—42no—
664C2D4×Dic79⋊C411yescharacteristic
665C2#2377198911yescharacteristic
666C2#2377199311yescharacteristic
667C2#2377492611yescharacteristic
668C2#2377498111yescharacteristic
669C2#2377591511yescharacteristic
670C2#2377594511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2354C2
socleC23×C79C22×D4
prime radicalC22×D4×C79D4
cosocleC22×C4×C79C24
hypercenter#2354D79
hypocenterC79#22662
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2354

Complements

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

NH ≅ G/Ntype
2. C2×#19098606C2semidirect
3. C2×#19098599C2semidirect
5. #23764168C2semidirect
6. #23764161C2semidirect
7. #23763599C2semidirect
8. #23763599C2semidirect
9. #23763597C2semidirect
10. #23763592C2semidirect
11. #23763566C2semidirect
12. #23763431C2semidirect
13. #23763423C2semidirect
14. #23763298C2semidirect
20. #19098635C4semidirect
68. C22×C79⋊C8C2×C4semidirect
90. #14579094D4semidirect
97. C4⋊(C79⋊C8)C2×C4semidirect
99. C22⋊(C79⋊C8)C2×C4semidirect
100. #14579072C2×C4semidirect
351. C79#22662semidirect

Maximal subgroups

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

subgroupindex
C2×#190986352
C2×#190986062
C2×#190985992
#237663292
#237641682
#237641612
#237635992
#237635972
#237635922
#237635662
#237634312
#237634232
#237632982
C79×#23542
#2266279