Finite Group Databasebeta

← C2×#23764192 #34291846

Subgroups — C2×#23764192 #34291846

Order 20224.

2158 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D79C211yesmaximal, characteristic
2C22×Dic79⋊C8C211yesmaximal, characteristic, complemented
3C22×C22⋊(C79⋊C8)C211yesmaximal, characteristic, complemented
4C22×(C2×D79)⋊C8C211yesmaximal, characteristic, complemented
5C22×(C2×D79)⋊C8C211yesmaximal, characteristic, complemented
6C22×C8×Dic79C211yesmaximal, characteristic, complemented
7#23764192C218yesmaximal, direct product factor
8C22×C22⋊C8×C79C211yesmaximal, characteristic, complemented
9C23×C22⋊D79C411yescharacteristic
10C23×C4×D79C2211yescharacteristic
11C23×C79⋊C8C2211yescharacteristic
12C23×C79⋊C8C2211yescharacteristic
13C2×C4×C22⋊D79—24no—
14C2×C4×C22⋊D79—24no—
15C2×C4×C22⋊D79C414yes—
16C2×C4×C22⋊D79C2214yes—
17C22×Dic79⋊C4C411yescharacteristic
18C22×C22⋊Dic79C411yescharacteristic
19C22×(C2×D79)⋊C4C411yescharacteristic
20C22×C4×Dic79C2211yescharacteristic
21C2×Dic79⋊C8—24no—
22C2×Dic79⋊C8C2214yescomplemented
23C2×C22⋊(C79⋊C8)—24no—
24C2×C22⋊(C79⋊C8)C2214yescomplemented
25C2×(C2×D79)⋊C8—24no—
26C2×(C2×D79)⋊C8—24no—
27C2×(C2×D79)⋊C8C2214yescomplemented
28C2×(C2×D79)⋊C8C2214yescomplemented
29C2×C8×Dic79—24no—
30C2×C8×Dic79C2214yescomplemented
31C24×C4×C79C2211yescharacteristic
32C23×C8×C79C2211yescharacteristic
33C23×C8×C79C2211yescharacteristic
34C2×C22⋊C8×C79—24no—
35C2×C22⋊C8×C79C2214yescomplemented
36C24×D79C2×C411yescharacteristic
37C22×C22⋊D79—24no—
38C22×C22⋊D79—24no—
39C22×C22⋊D79C818yescomplemented
40C22×C22⋊D79C2×C414yes—
41C23×Dic79C2×C411yescharacteristic
42C23×Dic79C2×C411yescharacteristic
43C23×Dic79C2×C411yescharacteristic
44C22×C4×D79—22no—
45C22×C4×D79—22no—
46C22×C4×D79—22no—
47C22×C4×D79—22no—
48C22×C4×D79—22no—
49C22×C4×D79—22no—
50C22×C4×D79C2×C412yes—
51C22×C4×D79C2312yes—
52C22×C79⋊C8—22no—
53C22×C79⋊C8—22no—
54C22×C79⋊C8—22no—
55C22×C79⋊C8—22no—
56C22×C79⋊C8—22no—
57C22×C79⋊C8D414yescomplemented
58C22×C79⋊C8C2312yes—
59C22×C79⋊C8C2312yes—
60C4×C22⋊D79—216no—
61C4×C22⋊D79—28no—
62C4×C22⋊D79—28no—
63C2×Dic79⋊C4—24no—
64C2×Dic79⋊C4C2×C414yes—
65C2×C22⋊Dic79—24no—
66C2×C22⋊Dic79C2×C414yes—
67C2×(C2×D79)⋊C4—24no—
68C2×(C2×D79)⋊C4C2×C414yes—
69C2×C4×Dic79C2×C412yes—
70C2×C4×Dic79D414yes—
71C2×C4×Dic79D414yes—
72C2×C4×Dic79C2312yes—
73Dic79⋊C8—28no—
74C22⋊(C79⋊C8)—28no—
75(C2×D79)⋊C8—28no—
76(C2×D79)⋊C8—28no—
77C8×Dic79—28no—
78C25×C79C2×C411yescharacteristic
79C23×C4×C79—22no—
80C23×C4×C79—22no—
81C23×C4×C79—22no—
82C23×C4×C79—22no—
83C23×C4×C79—22no—
84C23×C4×C79—22no—
85C23×C4×C79C2×C411yescharacteristic
86C23×C4×C79C2×C412yes—
87C23×C4×C79C2312yes—
88C23×C4×C79C2311yescharacteristic
89C22×C8×C79—22no—
90C22×C8×C79—22no—
91C22×C8×C79—22no—
92C22×C8×C79—22no—
93C22×C8×C79—22no—
94C22×C8×C79D414yescomplemented
95C22×C8×C79C2312yes—
96C22×C8×C79C2312yes—
97C22⋊C8×C79—28no—
98C23×D79—22no—
99C23×D79—22no—
100C23×D79—22no—
101C23×D79—22no—
102C23×D79—22no—
103C23×D79—22no—
104C23×D79C2×C814yes—
105C23×D79C22×C412yes—
106C2×C22⋊D79—232no—
107C2×C22⋊D79—28no—
108C2×C22⋊D79—28no—
109C2×C22⋊D79C2×C8116yescomplemented
110C22×Dic79—22no—
111C22×Dic79—22no—
112C22×Dic79—22no—
113C22×Dic79—22no—
114C22×Dic79—22no—
115C22×Dic79C22⋊C414yes—
116C22×Dic79C22⋊C414yes—
117C22×Dic79C2×C814yes—
118C22×Dic79M1614yes—
119C22×Dic79C22×C412yes—
120C22×Dic79C22×C412yes—
121C22×Dic79C22×C412yes—
122C2×C4×D79—24no—
123C2×C4×D79—24no—
124C2×C4×D79—24no—
125C2×C4×D79—22no—
126C2×C4×D79—22no—
127C2×C4×D79—22no—
128C2×C4×D79—22no—
129C2×C4×D79—22no—
130C2×C4×D79—22no—
131C2×C4×D79—44no—
132C2×C4×D79—44no—
133C2×C4×D79—44no—
134C2×C4×D79—44no—
135C2×C79⋊C8—28no—
136C2×C79⋊C8—22no—
137C2×C79⋊C8—22no—
138C2×C79⋊C8—22no—
139C2×C79⋊C8—22no—
140C2×C79⋊C8—22no—
141C2×C79⋊C8—44no—
142C2×C79⋊C8C2×D414yescomplemented
143Dic79⋊C4—28no—
144C22⋊Dic79—28no—
145(C2×D79)⋊C4—28no—
146C4×Dic79C22⋊C418yes—
147C4×Dic79C2×D414yes—
148C4×Dic79C2×D414yes—
149C24×C79—22no—
150C24×C79—22no—
151C24×C79—22no—
152C24×C79—22no—
153C24×C79—22no—
154C24×C79—22no—
155C24×C79C2×C814yes—
156C24×C79C22×C412yes—
157C24×C79C22×C411yescharacteristic
158C22×C4×C79—22no—
159C22×C4×C79—22no—
160C22×C4×C79—22no—
161C22×C4×C79—24no—
162C22×C4×C79—24no—
163C22×C4×C79—24no—
164C22×C4×C79—22no—
165C22×C4×C79—22no—
166C22×C4×C79—22no—
167C22×C4×C79—22no—
168C22×C4×C79—22no—
169C22×C4×C79—22no—
170C22×C4×C79—44no—
171C22×C4×C79—44no—
172C22×C4×C79—44no—
173C22×C4×C79—44no—
174C22×C4×C79C22×C412yes—
175C22×C4×C79C22×C411yescharacteristic
176C22×C4×C79C2×D412yes—
177C22×C4×C79C2×D412yes—
178C22×C4×C79C2×D412yes—
179C22×C4×C79C2×D412yes—
180C22×C4×C79#4112yes—
181C22×C4×C79#4112yes—
182C22×C4×C79C2411yescharacteristic
183C2×C8×C79—28no—
184C2×C8×C79—22no—
185C2×C8×C79—22no—
186C2×C8×C79—22no—
187C2×C8×C79—22no—
188C2×C8×C79—22no—
189C2×C8×C79—44no—
190C2×C8×C79C2×D414yescomplemented
191C23×C79—22no—
192C23×C79—22no—
193C23×C79—22no—
194C23×C79—22no—
195C23×C79—22no—
196C23×C79—22no—
197C23×C79—28no—
198C23×C79—28no—
199C23×C79—28no—
200C23×C79—44no—
201C23×C79—44no—
202C23×C79—44no—
203C23×C79—44no—
204C23×C79C2×C22⋊C412yes—
205C23×C79C4×D412yes—
206C23×C79C4×D412yes—
207C23×C79C22×C814yes—
208C23×C79C22×C812yes—
209C23×C79C2×M1612yes—
210C23×C79#13112yes—
211C23×C79#13112yes—
212C23×C79C23×C411yescharacteristic
213C22×D79—22no—
214C22×D79—22no—
215C22×D79—22no—
216C22×D79—22no—
217C22×D79—22no—
218C22×D79—22no—
219C22×D79—28no—
220C22×D79—28no—
221C22×D79—28no—
222C22×D79—44no—
223C22×D79—44no—
224C22×D79—44no—
225C22×D79—44no—
226C22×D79C22×C814yes—
227C2×C4×C79—22no—
228C2×C4×C79—22no—
229C2×C4×C79—22no—
230C2×C4×C79—44no—
231C2×C4×C79—42no—
232C2×C4×C79—42no—
233C2×C4×C79—42no—
234C2×C4×C79—42no—
235C2×C4×C79—48no—
236C2×C4×C79C2×C22⋊C412yes—
237C2×C4×C79C4×D412yes—
238C2×C4×C79C4×D412yes—
239C2×C4×C79#12114yes—
240C2×C4×C79#12114yes—
241C2×C4×C79#12414yes—
242C2×C4×C79#12714yes—
243C2×C4×C79C22×D411yescharacteristic
244C2×C4×C79C22×D411yescharacteristic
245C2×C4×C79C22×D411yescharacteristic
246C2×C4×C79C22×D411yescharacteristic
247C2×C4×C79C2×#4111yescharacteristic
248C2×C4×C79C2×#4111yescharacteristic
249C22⋊D79—232no—
250C2×Dic79—22no—
251C2×Dic79—22no—
252C2×Dic79—28no—
253C2×Dic79—22no—
254C2×Dic79—22no—
255C2×Dic79—22no—
256C2×Dic79—44no—
257C2×Dic79C22⋊C8116yescomplemented
258C2×Dic79C2×C22⋊C414yes—
259C2×Dic79C2×C22⋊C414yes—
260C2×Dic79C22×C814yes—
261C2×Dic79C2×M1614yes—
262C4×D79—42no—
263C4×D79—42no—
264C4×D79—42no—
265C4×D79—42no—
266C4×D79—48no—
267C8×C79—24no—
268C8×C79—42no—
269C79⋊C8—24no—
270C79⋊C8—42no—
271C22×C79—24no—
272C22×C79—24no—
273C22×C79—24no—
274C22×C79—42no—
275C22×C79—42no—
276C22×C79—42no—
277C22×C79—416no—
278C22×C79—42no—
279C22×C79#39014yes—
280C22×C79C2×C22⋊C814yes—
281C22×C79#40814yes—
282C22×C79C8×D414yes—
283C22×C79C8×D414yes—
284C22×C79#43614yes—
285C22×C79#43614yes—
286C22×C79C22×C22⋊C411yescharacteristic
287C22×C79C2×C4×D411yescharacteristic
288C22×C79C2×C4×D411yescharacteristic
289C22×C79C23×C811yescharacteristic
290C22×C79C22×M1611yescharacteristic
291C22×C79C2×#13111yescharacteristic
292C22×C79C2×#13111yescharacteristic
293C2×D79—24no—
294C2×D79—24no—
295C2×D79—24no—
296C2×D79—42no—
297C2×D79—42no—
298C2×D79—42no—
299C2×D79—416no—
300C2×D79—42no—
301C4×C79—42no—
302C4×C79#39014yes—
303C4×C79C2×#12111yescharacteristic
304C4×C79C2×#12111yescharacteristic
305C4×C79C2×#12411yescharacteristic
306C4×C79C2×#12711yescharacteristic
307Dic79—24no—
308Dic79—42no—
309Dic79C2×C22⋊C818yescomplemented
310C2×#1954—791nomaximal, Sylow
311C2×C79—44no—
312C2×C79#195418yescomplemented
313C2×C79C2×#39011yescharacteristic
314C2×C79C22×C22⋊C811yescharacteristic
315C2×C79C2×#40811yescharacteristic
316C2×C79C2×C8×D411yescharacteristic
317C2×C79C2×C8×D411yescharacteristic
318C2×C79C2×#43611yescharacteristic
319C2×C79C2×#43611yescharacteristic
320D79—44no—
321C22×C4×D4—791no—
322C22×C4⋊C8—791no—
323C22×C22⋊C8—791no—
324C22×C22⋊C8—791no—
325C22×C22⋊C8—791no—
326C22×C22⋊C8D7911yescharacteristic, complemented
327C22×C4×C8—791no—
328#1954—798no—
329C79C2×#195411yescharacteristic, complemented, Sylow
330C23×D4—791no—
331C24×C4—791no—
332C24×C4C2×D7911yescharacteristic
333C23×C8—791no—
334C23×C8—791no—
335C23×C8C2×D7911yescharacteristic
336C23×C8C2×D7911yescharacteristic
337C2×C4×D4—794no—
338C2×C4×D4—794no—
339C2×C4×D4—1584no—
340C2×C4×D4—1584no—
341C22×C4⋊C4—791no—
342C22×C22⋊C4—791no—
343C22×C22⋊C4—791no—
344C22×C42—791no—
345C2×C4⋊C8—794no—
346C2×C4⋊C8—1584no—
347C2×C22⋊C8—24no—
348C2×C22⋊C8—794no—
349C2×C22⋊C8—794no—
350C2×C22⋊C8—794no—
351C2×C22⋊C8—1584no—
352C2×C22⋊C8—1584no—
353C2×C22⋊C8—1584no—
354C2×C22⋊C8C2×D7914yescomplemented
355C2×C4×C8—794no—
356C2×C4×C8—1584no—
357C25—791no—
358C25C4×D7911yescharacteristic
359C22×D4—798no—
360C22×D4—794no—
361C22×D4—1584no—
362C22×D4—1584no—
363C23×C4—22no—
364C23×C4—22no—
365C23×C4—22no—
366C23×C4—22no—
367C23×C4—22no—
368C23×C4—22no—
369C23×C4—791no—
370C23×C4—791no—
371C23×C4—791no—
372C23×C4—792no—
373C23×C4—792no—
374C23×C4—1582no—
375C23×C4—1582no—
376C23×C4—1582no—
377C23×C4—1582no—
378C23×C4—1582no—
379C23×C4—1582no—
380C23×C4C4×D7911yescharacteristic
381C23×C4C4×D7912yes—
382C23×C4C22×D7912yes—
383C23×C4C22×D7911yescharacteristic
384C22×C8—22no—
385C22×C8—22no—
386C22×C8—22no—
387C22×C8—22no—
388C22×C8—22no—
389C22×C8—794no—
390C22×C8—792no—
391C22×C8—792no—
392C22×C8—1582no—
393C22×C8—1582no—
394C22×C8—1582no—
395C22×C8—1582no—
396C22×C8—1582no—
397C22×C8C22⋊D7914yescomplemented
398C22×C8C22×D7912yes—
399C22×C8C22×D7912yes—
400C4×D4—15816no—
401C4×D4—1588no—
402C4×D4—1588no—
403C2×C4⋊C4—794no—
404C2×C4⋊C4—1584no—
405C2×C22⋊C4—794no—
406C2×C22⋊C4—794no—
407C2×C22⋊C4—1584no—
408C2×C22⋊C4—1584no—
409C2×C42—792no—
410C2×C42—794no—
411C2×C42—794no—
412C2×C42—792no—
413C4⋊C8—1588no—
414C22⋊C8—28no—
415C22⋊C8—1588no—
416C22⋊C8—1588no—
417C22⋊C8—1588no—
418C4×C8—1588no—
419C24—22no—
420C24—22no—
421C24—22no—
422C24—22no—
423C24—22no—
424C24—22no—
425C24—794no—
426C24—792no—
427C24—1582no—
428C24—1582no—
429C24—1582no—
430C24—1582no—
431C24—1582no—
432C24—1582no—
433C24C8×D7914yes—
434C24C2×C4×D7912yes—
435C24C2×C4×D7911yescharacteristic
436C2×D4—7916no—
437C2×D4—1588no—
438C2×D4—15832no—
439C2×D4—1588no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—3164no—
457C22×C4—3164no—
458C22×C4—3164no—
459C22×C4—3164no—
460C22×C4—794no—
461C22×C4—794no—
462C22×C4—794no—
463C22×C4—792no—
464C22×C4—794no—
465C22×C4—792no—
466C22×C4—792no—
467C22×C4—1582no—
468C22×C4—1582no—
469C22×C4—1582no—
470C22×C4—1582no—
471C22×C4—1582no—
472C22×C4—1584no—
473C22×C4—1584no—
474C22×C4—1584no—
475C22×C4—1582no—
476C22×C4—1582no—
477C22×C4—1582no—
478C22×C4—1582no—
479C22×C4—1582no—
480C22×C4—1582no—
481C22×C4C2×C4×D7912yes—
482C22×C4C2×C4×D7911yescharacteristic
483C22×C4D4×D7912yes—
484C22×C4D4×D7912yes—
485C22×C4D4×D7912yes—
486C22×C4C2×C22⋊D7912yes—
487C22×C4#1192962312yes—
488C22×C4#1192962412yes—
489C22×C4C23×D7911yescharacteristic
490C2×C8—22no—
491C2×C8—28no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—44no—
497C2×C8—3164no—
498C2×C8—794no—
499C2×C8—1582no—
500C2×C8—1582no—
501C2×C8—1582no—
502C2×C8—1582no—
503C2×C8—1588no—
504C2×C8—1582no—
505C2×C8C2×C22⋊D7914yescomplemented
506C4⋊C4—1588no—
507C22⋊C4—1588no—
508C22⋊C4—1588no—
509C42—798no—
510C42—794no—
511C42—794no—
512C23—28no—
513C23—28no—
514C23—22no—
515C23—22no—
516C23—22no—
517C23—28no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—44no—
522C23—44no—
523C23—44no—
524C23—44no—
525C23—3164no—
526C23—3164no—
527C23—3164no—
528C23—3164no—
529C23—794no—
530C23—1588no—
531C23—1588no—
532C23—1582no—
533C23—1582no—
534C23—1582no—
535C23—1588no—
536C23—1582no—
537C23—1582no—
538C23—1582no—
539C23C22⋊C4×D7912yes—
540C23(C22⋊D79)⋊C412yes—
541C23C4×C22⋊D7912yes—
542C23C2×C8×D7914yes—
543C23C2×C8×D7912yes—
544C23M16×D7912yes—
545C23#1457916712yes—
546C23#1457916912yes—
547C23C22×C4×D7911yescharacteristic
548D4—15832no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—44no—
553C2×C4—48no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—42no—
558C2×C4—3164no—
559C2×C4—3168no—
560C2×C4—3162no—
561C2×C4—3162no—
562C2×C4—3162no—
563C2×C4—3162no—
564C2×C4—794no—
565C2×C4—7916no—
566C2×C4—794no—
567C2×C4—794no—
568C2×C4—794no—
569C2×C4—1582no—
570C2×C4—1582no—
571C2×C4—1582no—
572C2×C4—1588no—
573C2×C4—1582no—
574C2×C4—1582no—
575C2×C4C22⋊C4×D7912yes—
576C2×C4(C22⋊D79)⋊C412yes—
577C2×C4C4×C22⋊D7912yes—
578C2×C4#1457913314yes—
579C2×C4#1457913414yes—
580C2×C4#1457914714yes—
581C2×C4#1457915714yes—
582C2×C4C2×D4×D7911yescharacteristic
583C2×C4C2×D4×D7911yescharacteristic
584C2×C4C2×D4×D7911yescharacteristic
585C2×C4C22×C22⋊D7911yescharacteristic
586C2×C4C2×#1192962311yescharacteristic
587C2×C4C2×#1192962411yescharacteristic
588C8—24no—
589C8—42no—
590C8—3162no—
591C8—1584no—
592C22—24no—
593C22—24no—
594C22—24no—
595C22—42no—
596C22—42no—
597C22—42no—
598C22—42no—
599C22—416no—
600C22—3162no—
601C22—3162no—
602C22—3162no—
603C22—3162no—
604C22—31616no—
605C22—1584no—
606C22—1584no—
607C22—1584no—
608C22#1909846314yes—
609C22C22⋊C8×D7914yes—
610C22#1909852814yes—
611C22(C22⋊D79)⋊C814yes—
612C22C8×C22⋊D7914yes—
613C22#1909863814yes—
614C22#1909863914yes—
615C22C2×C22⋊C4×D7911yescharacteristic
616C22C2×(C22⋊D79)⋊C411yescharacteristic
617C22C2×C4×C22⋊D7911yescharacteristic
618C22C22×C8×D7911yescharacteristic
619C22C2×M16×D7911yescharacteristic
620C22C2×#1457916711yescharacteristic
621C22C2×#1457916911yescharacteristic
622C4—42no—
623C4—3162no—
624C4—798no—
625C4—1584no—
626C4#1909846314yes—
627C4C2×#1457913311yescharacteristic
628C4C2×#1457913411yescharacteristic
629C4C2×#1457914711yescharacteristic
630C4C2×#1457915711yescharacteristic
631C2—44no—
632C2—3164no—
633C2#2376419218yesdirect product factor
634C2C2×#1909846311yescharacteristic
635C2C2×C22⋊C8×D7911yescharacteristic
636C2C2×#1909852811yescharacteristic
637C2C2×(C22⋊D79)⋊C811yescharacteristic
638C2C2×C8×C22⋊D7911yescharacteristic
639C2C2×#1909863811yescharacteristic
640C2C2×#1909863911yescharacteristic
subgroupG/H
centerC23×C4C22×D79
commutatorC22×C79C23×C8
FrattiniC22×C4C23×D79
FittingC22×C22⋊C8×C79C2
socleC24×C79C22×C4
prime radicalC23×C22⋊D79C4
cosocleC22×C4×C79C24
hypercenterC22×C22⋊C8D79
hypocenterC79C2×#1954
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C22×Dic79⋊C8C2semidirect
3. C22×C22⋊(C79⋊C8)C2semidirect
4. C22×(C2×D79)⋊C8C2semidirect
5. C22×(C2×D79)⋊C8C2semidirect
6. C22×C8×Dic79C2semidirect
7. #23764192C2direct (N × H)
8. C22×C22⋊C8×C79C2semidirect
22. C2×Dic79⋊C8C22semidirect
24. C2×C22⋊(C79⋊C8)C22semidirect
27. C2×(C2×D79)⋊C8C22semidirect
28. C2×(C2×D79)⋊C8C22semidirect
30. C2×C8×Dic79C22semidirect
35. C2×C22⋊C8×C79C22semidirect
39. C22×C22⋊D79C8semidirect
57. C22×C79⋊C8D4semidirect
94. C22×C8×C79D4semidirect
109. C2×C22⋊D79C2×C8semidirect
142. C2×C79⋊C8C2×D4semidirect
190. C2×C8×C79C2×D4semidirect
257. C2×Dic79C22⋊C8semidirect
309. Dic79C2×C22⋊C8semidirect
312. C2×C79#1954semidirect
326. C22×C22⋊C8D79semidirect
329. C79C2×#1954semidirect
354. C2×C22⋊C8C2×D79semidirect
397. C22×C8C22⋊D79semidirect
505. C2×C8C2×C22⋊D79semidirect
633. C2#23764192direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D792
C22×Dic79⋊C82
C22×C22⋊(C79⋊C8)2
C22×(C2×D79)⋊C82
C22×C8×Dic792
#237641922
C22×C22⋊C8×C792
C2×#195479