Finite Group Databasebeta

← C2×#484×D79 #35156024

Subgroups — C2×#484×D79 #35156024

Order 20224.

2662 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D79C211yesmaximal, characteristic
2C22×C4⋊C4×D79C211yesmaximal, characteristic
3C2×#19098900C212yesmaximal, complemented
4C2×#19098899C211yesmaximal, characteristic, complemented
5C2×#19098898C211yesmaximal, characteristic, complemented
6C2×#19098897C212yesmaximal, complemented
7C2×#19098896C211yesmaximal, characteristic, complemented
8#484×D79C2116yesmaximal, direct product factor
9C2×#107×D79C212yesmaximal, complemented
10C2×#103×D79C212yesmaximal, complemented
11C2×C22⋊C8×D79C211yesmaximal, characteristic
12C2×#484×C79C211yesmaximal, characteristic, complemented
13C22×Q8×D79C2211yescharacteristic
14C23×C4×D79—21no—
15C23×C4×D79C2211yescharacteristic
16C22×C8×D79C2212yes—
17C2×#14579141C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×#14579139—21no—
20C2×#14579138—21no—
21C2×#14579137C2211yescharacteristic
22C22⋊Q8×D79—24no—
23C22⋊Q8×D79C2218yes—
24C22×C4⋊Dic79C2211yescharacteristic
25C22×Dic79⋊C4—21no—
26C2×C4⋊C4×D79—21no—
27C2×C4⋊C4×D79—24no—
28C2×C4⋊C4×D79—21no—
29C2×C4⋊C4×D79—21no—
30C2×C4⋊C4×D79C2212yes—
31C2×C4⋊C4×D79C2218yes—
32C2×C4⋊C4×D79C2212yes—
33C2×C4⋊C4×D79C2211yescharacteristic
34C2×C22⋊C4×D79—21no—
35#19098900C22116yescomplemented
36#19098899C2218yescomplemented
37#19098898C2218yescomplemented
38#19098897C22116yescomplemented
39#19098896C2218yescomplemented
40C2×#14579095C2212yescomplemented
41C2×#14579094C2212yescomplemented
42C2×#14579094C2212yescomplemented
43#107×D79C22116yescomplemented
44C2×#14579086C2212yescomplemented
45C2×#14579085C2212yescomplemented
46C2×#14579084C2212yescomplemented
47#103×D79C22116yescomplemented
48C2×C22⋊(C79⋊C8)C2211yescharacteristic
49C2×(C2×D79)⋊C8C2212yes—
50C22⋊C8×D79C2218yes—
51C2×C22⋊Q8×C79C2211yescharacteristic
52C22×C4⋊C4×C79C2211yescharacteristic
53#484×C79C2218yescomplemented
54C2×#107×C79C2212yescomplemented
55C2×#103×C79C2212yescomplemented
56C2×C22⋊C8×C79C2211yescharacteristic
57C24×D79D411yescharacteristic
58C22×Dic158—21no—
59C22×Dic158C2311yescharacteristic
60C2×Q8×D79—22no—
61C2×Q8×D79—28no—
62C2×Q8×D79C2314yes—
63C23×Dic79—21no—
64C23×Dic79D411yescharacteristic
65C22×C4×D79—28no—
66C22×C4×D79—21no—
67C22×C4×D79—21no—
68C22×C4×D79—28no—
69C22×C4×D79—22no—
70C22×C4×D79—22no—
71C22×C4×D79—48no—
72C22×C4×D79D411yescharacteristic
73C22×C4×D79D414yes—
74C22×C4×D79D411yescharacteristic
75C22×C4×D79C2314yes—
76C22×C4×D79C2311yescharacteristic
77C22×C4×D79C2311yescharacteristic
78C22×C79⋊C8C2312yes—
79C2×C8×D79—28no—
80C2×C8×D79C2318yes—
81#14579141—22no—
82#14579141C2314yes—
83#14579140—22no—
84#14579140C2314yes—
85#14579139—28no—
86#14579138—28no—
87#14579137—22no—
88#14579137C2314yes—
89C2×C4⋊Dic79—21no—
90C2×C4⋊Dic79—22no—
91C2×C4⋊Dic79—21no—
92C2×C4⋊Dic79C2314yes—
93C2×C4⋊Dic79C2312yes—
94C2×C4⋊Dic79C2311yescharacteristic
95C2×Dic79⋊C4—21no—
96C2×Dic79⋊C4—22no—
97C2×Dic79⋊C4—28no—
98C2×Dic79⋊C4—22no—
99C2×Dic79⋊C4—21no—
100C2×Dic79⋊C4—21no—
101C4⋊C4×D79—28no—
102C4⋊C4×D79—24no—
103C4⋊C4×D79—28no—
104C4⋊C4×D79—24no—
105C4⋊C4×D79—28no—
106C4⋊C4×D79—22no—
107C4⋊C4×D79C2318yes—
108C4⋊C4×D79C2318yes—
109C4⋊C4×D79C2314yes—
110C2×C22⋊Dic79—21no—
111C2×(C2×D79)⋊C4—21no—
112C2×(C2×D79)⋊C4—21no—
113C22⋊C4×D79—28no—
114#14579095C2318yescomplemented
115#14579094C2318yescomplemented
116#14579094C2318yescomplemented
117#14579086C2318yescomplemented
118#14579085C2318yescomplemented
119#14579084C2318yescomplemented
120C22⋊(C79⋊C8)C2314yes—
121(C2×D79)⋊C8C2318yes—
122C22×Q8×C79C2311yescharacteristic
123C23×C4×C79—21no—
124C23×C4×C79C2311yescharacteristic
125C22×C8×C79C2312yes—
126C22⋊Q8×C79—22no—
127C22⋊Q8×C79C2314yes—
128C2×C4⋊C4×C79—21no—
129C2×C4⋊C4×C79—22no—
130C2×C4⋊C4×C79—21no—
131C2×C4⋊C4×C79C2311yescharacteristic
132C2×C4⋊C4×C79C2312yes—
133C2×C4⋊C4×C79C2314yes—
134C2×C22⋊C4×C79—21no—
135#107×C79C2318yescomplemented
136#103×C79C2318yescomplemented
137C22⋊C8×C79C2314yes—
138C23×D79—24no—
139C23×D79—24no—
140C23×D79Q1618yes—
141C23×D79C2×D414yes—
142C23×D79C2×D411yescharacteristic
143C23×D79C2×D411yescharacteristic
144C2×Dic158—24no—
145C2×Dic158—21no—
146C2×Dic158—24no—
147C2×Dic158—44no—
148C2×Dic158C2412yes—
149Q8×D79—216no—
150Q8×D79—48no—
151C22×Dic79—24no—
152C22×Dic79—21no—
153C22×Dic79—21no—
154C22×Dic79—24no—
155C22×Dic79—22no—
156C22×Dic79—44no—
157C22×Dic79C2×D411yescharacteristic
158C22×Dic79C2×D414yes—
159C22×Dic79C2×D411yescharacteristic
160C2×C4×D79—24no—
161C2×C4×D79—216no—
162C2×C4×D79—216no—
163C2×C4×D79—24no—
164C2×C4×D79—24no—
165C2×C4×D79—24no—
166C2×C4×D79—28no—
167C2×C4×D79—28no—
168C2×C4×D79—24no—
169C2×C4×D79—432no—
170C2×C4×D79—48no—
171C2×C4×D79—44no—
172C2×C4×D79—44no—
173C2×C4×D79—48no—
174C2×C4×D79C2×D414yes—
175C2×C4×D79C2×D412yes—
176C2×C4×D79C2×D414yes—
177C2×C4×D79C2×D412yes—
178C2×C4×D79#4118yes—
179C2×C4×D79C2412yes—
180C2×C4×D79C2412yes—
181C2×C79⋊C8—24no—
182C2×C79⋊C8C2414yes—
183C8×D79—216no—
184C4⋊Dic79—24no—
185C4⋊Dic79—24no—
186C4⋊Dic79—22no—
187C4⋊Dic79—21no—
188C4⋊Dic79C2414yes—
189C4⋊Dic79C2412yes—
190Dic79⋊C4—28no—
191Dic79⋊C4—28no—
192Dic79⋊C4—24no—
193Dic79⋊C4—24no—
194Dic79⋊C4—24no—
195C22⋊Dic79—24no—
196(C2×D79)⋊C4—24no—
197(C2×D79)⋊C4—24no—
198C24×C79C2×D411yescharacteristic
199C2×Q8×C79—21no—
200C2×Q8×C79—24no—
201C2×Q8×C79C2412yes—
202C22×C4×C79—24no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—24no—
206C22×C4×C79—22no—
207C22×C4×C79—44no—
208C22×C4×C79C2×D411yescharacteristic
209C22×C4×C79C2×D412yes—
210C22×C4×C79C2412yes—
211C22×C4×C79C2411yescharacteristic
212C2×C8×C79—24no—
213C2×C8×C79C2414yes—
214C4⋊C4×C79—24no—
215C4⋊C4×C79—22no—
216C4⋊C4×C79—24no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79C2414yes—
219C4⋊C4×C79C2412yes—
220C22⋊C4×C79—24no—
221C23×C79—22no—
222C23×C79—22no—
223C23×C79C2×Q1614yes—
224C23×C79C22×D412yes—
225C23×C79C22×D411yescharacteristic
226C22×D79—22no—
227C22×D79—22no—
228C22×D79—28no—
229C22×D79—28no—
230C22×D79—232no—
231C22×D79#12314yes—
232C22×D79C2×Q1614yes—
233C22×D79C2×Q16116yes—
234C22×D79C2×Q1614yes—
235C22×D79AGL(1,ℤ/8)14yes—
236C22×D79C22×D412yes—
237C22×D79C22×D412yes—
238Q8×C79—24no—
239Q8×C79—42no—
240C2×C4×C79—22no—
241C2×C4×C79—24no—
242C2×C4×C79—24no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—24no—
246C2×C4×C79—48no—
247C2×C4×C79—42no—
248C2×C4×C79—44no—
249C2×C4×C79—42no—
250C2×C4×C79C22×D412yes—
251C2×C4×C79C22×D411yescharacteristic
252C2×C4×C79C2×#4114yes—
253C2×C4×C79C2511yescharacteristic
254C2×Dic79—22no—
255C2×Dic79—28no—
256C2×Dic79—22no—
257C2×Dic79—22no—
258C2×Dic79—24no—
259C2×Dic79—48no—
260C2×Dic79—42no—
261C2×Dic79—44no—
262C2×Dic79—42no—
263C2×Dic79#12314yes—
264C2×Dic79C22×D412yes—
265C2×Dic79C22×D412yes—
266C4×D79—28no—
267C4×D79—24no—
268C4×D79—24no—
269C4×D79—28no—
270C4×D79—416no—
271C4×D79—48no—
272C4×D79—48no—
273C4×D79—416no—
274C4×D79#12318yes—
275C4×D79C2×#4118yes—
276Dic158—24no—
277Dic158—42no—
278Dic158—48no—
279C8×C79—24no—
280C79⋊C8—24no—
281C22×C79—28no—
282C22×C79—22no—
283C22×C79—22no—
284C22×C79C2×#12312yes—
285C22×C79C22×Q1614yes—
286C22×C79C22×Q1612yes—
287C22×C79C2×AGL(1,ℤ/8)12yes—
288C22×C79C23×D411yescharacteristic
289C2×D79—28no—
290C2×D79—22no—
291C2×D79—22no—
292C2×D79—232no—
293C2×D79#484116yesdirect product factor
294C2×D79C2×#12314yes—
295C2×D79C22×Q1614yes—
296C2×D79C22×Q1614yes—
297C2×D79C2×AGL(1,ℤ/8)14yes—
298C4×C79—22no—
299C4×C79—42no—
300C4×C79—44no—
301C4×C79—42no—
302C4×C79C2×#12312yes—
303C4×C79C22×#4112yes—
304Dic79—22no—
305Dic79—42no—
306Dic79—44no—
307Dic79—42no—
308Dic79C2×#12314yes—
309C22×#484—791nomaximal, Sylow
310C2×C79—24no—
311C2×C79C2×#48414yescomplemented
312C2×C79C22×#12311yescharacteristic
313C2×C79C23×Q1611yescharacteristic
314C2×C79C22×AGL(1,ℤ/8)11yescharacteristic
315D79—24no—
316D79C2×#48418yesdirect product factor
317C22×C22⋊Q8—791no—
318C23×C4⋊C4—791no—
319C2×#484—7916no—
320C2×#484—792no—
321C2×#484—792no—
322C2×#484—791no—
323C2×#484—791no—
324C2×#484—791no—
325C2×#484D7911yescharacteristic, direct product factor
326C22×#107—792no—
327C22×#103—792no—
328C22×C22⋊C8—791no—
329C79C22×#48411yescharacteristic, complemented, Sylow
330C23×Q8—791no—
331C24×C4—791no—
332C24×C4—1581no—
333C23×C8—792no—
334C2×C22⋊Q8—791no—
335C2×C22⋊Q8—791no—
336C2×C22⋊Q8—798no—
337C2×C22⋊Q8—791no—
338C2×C22⋊Q8—1581no—
339C2×C22⋊Q8—1581no—
340C2×C22⋊Q8—1584no—
341C2×C22⋊Q8C2×D7911yescharacteristic
342C22×C4⋊C4—791no—
343C22×C4⋊C4—792no—
344C22×C4⋊C4—798no—
345C22×C4⋊C4—792no—
346C22×C4⋊C4—791no—
347C22×C4⋊C4—1581no—
348C22×C4⋊C4—1584no—
349C22×C4⋊C4—1581no—
350C22×C4⋊C4—1581no—
351C22×C4⋊C4—1581no—
352C22×C4⋊C4C2×D7911yescharacteristic
353C22×C22⋊C4—1581no—
354#484—798no—
355#484—798no—
356#484—7916no—
357#484—7916no—
358#484—798no—
359#484C2×D7918yesdirect product factor
360C2×#107—792no—
361C2×#107—792no—
362C2×#107—792no—
363C2×#107—7916no—
364C2×#107C2×D7912yescomplemented
365C2×#103—792no—
366C2×#103—792no—
367C2×#103—792no—
368C2×#103—7916no—
369C2×#103C2×D7912yescomplemented
370C2×C22⋊C8—791no—
371C2×C22⋊C8—792no—
372C2×C22⋊C8—798no—
373C2×C22⋊C8C2×D7911yescharacteristic
374C25—791no—
375C22×Q8—794no—
376C22×Q8—791no—
377C22×Q8—1581no—
378C22×Q8—1588no—
379C22×Q8—1582no—
380C22×Q8C22×D7911yescharacteristic
381C23×C4—21no—
382C23×C4—3168no—
383C23×C4—791no—
384C23×C4—791no—
385C23×C4—791no—
386C23×C4—791no—
387C23×C4—794no—
388C23×C4—794no—
389C23×C4—791no—
390C23×C4—1581no—
391C23×C4—1581no—
392C23×C4—1588no—
393C23×C4—1582no—
394C23×C4—1582no—
395C23×C4—1588no—
396C23×C4—1581no—
397C23×C4C22×D7911yescharacteristic
398C22×C8—792no—
399C22×C8—798no—
400C22×C8—1588no—
401C22×C8C22×D7912yes—
402C22⋊Q8—22no—
403C22⋊Q8—794no—
404C22⋊Q8—794no—
405C22⋊Q8—794no—
406C22⋊Q8—1588no—
407C22⋊Q8—1588no—
408C22⋊Q8—1582no—
409C22⋊Q8—1582no—
410C22⋊Q8—1582no—
411C22⋊Q8C22×D7914yes—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—792no—
416C2×C4⋊C4—794no—
417C2×C4⋊C4—791no—
418C2×C4⋊C4—798no—
419C2×C4⋊C4—798no—
420C2×C4⋊C4—794no—
421C2×C4⋊C4—1584no—
422C2×C4⋊C4—1588no—
423C2×C4⋊C4—1588no—
424C2×C4⋊C4—1584no—
425C2×C4⋊C4—1582no—
426C2×C4⋊C4—1588no—
427C2×C4⋊C4—1588no—
428C2×C4⋊C4—1582no—
429C2×C4⋊C4—1582no—
430C2×C4⋊C4—1581no—
431C2×C4⋊C4—1581no—
432C2×C4⋊C4—1581no—
433C2×C4⋊C4—1582no—
434C2×C4⋊C4—1581no—
435C2×C4⋊C4—1581no—
436C2×C4⋊C4C22×D7912yes—
437C2×C4⋊C4C22×D7914yes—
438C2×C4⋊C4C22×D7911yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—1588no—
441C2×C22⋊C4—1581no—
442C2×C22⋊C4—1581no—
443C2×C22⋊C4—1581no—
444#107—798no—
445#107—798no—
446#107—798no—
447#107C22×D7918yescomplemented
448#103—798no—
449#103—798no—
450#103—798no—
451#103C22×D7918yescomplemented
452C22⋊C8—794no—
453C22⋊C8—798no—
454C22⋊C8C22×D7914yes—
455C24—791no—
456C24—798no—
457C24—794no—
458C24—791no—
459C24—1584no—
460C24—1584no—
461C24D4×D7911yescharacteristic
462C2×Q8—21no—
463C2×Q8—24no—
464C2×Q8—3164no—
465C2×Q8—3168no—
466C2×Q8—792no—
467C2×Q8—1584no—
468C2×Q8—15816no—
469C2×Q8—1584no—
470C2×Q8—1581no—
471C2×Q8C23×D7912yes—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—44no—
478C22×C4—3168no—
479C22×C4—3164no—
480C22×C4—3164no—
481C22×C4—31632no—
482C22×C4—3168no—
483C22×C4—3164no—
484C22×C4—791no—
485C22×C4—798no—
486C22×C4—792no—
487C22×C4—792no—
488C22×C4—794no—
489C22×C4—791no—
490C22×C4—792no—
491C22×C4—794no—
492C22×C4—794no—
493C22×C4—792no—
494C22×C4—1584no—
495C22×C4—1584no—
496C22×C4—1588no—
497C22×C4—1588no—
498C22×C4—1584no—
499C22×C4—15816no—
500C22×C4—15816no—
501C22×C4—1584no—
502C22×C4—1584no—
503C22×C4—1581no—
504C22×C4—1581no—
505C22×C4—1582no—
506C22×C4—1584no—
507C22×C4—1584no—
508C22×C4D4×D7912yes—
509C22×C4D4×D7911yescharacteristic
510C22×C4C23×D7912yes—
511C22×C4C23×D7911yescharacteristic
512C2×C8—24no—
513C2×C8—794no—
514C2×C8—15816no—
515C2×C8—1584no—
516C2×C8C23×D7914yes—
517C4⋊C4—24no—
518C4⋊C4—22no—
519C4⋊C4—24no—
520C4⋊C4—21no—
521C4⋊C4—794no—
522C4⋊C4—792no—
523C4⋊C4—1588no—
524C4⋊C4—1588no—
525C4⋊C4—1584no—
526C4⋊C4—1584no—
527C4⋊C4—1584no—
528C4⋊C4—1584no—
529C4⋊C4—1584no—
530C4⋊C4—1582no—
531C4⋊C4—1581no—
532C4⋊C4C23×D7914yes—
533C4⋊C4C23×D7912yes—
534C22⋊C4—24no—
535C22⋊C4—1584no—
536C22⋊C4—1584no—
537C22⋊C4—1584no—
538C23—22no—
539C23—22no—
540C23—794no—
541C23—794no—
542C23—794no—
543C23—792no—
544C23—7916no—
545C23—794no—
546C23—792no—
547C23—1588no—
548C23—1588no—
549C23—15832no—
550C23—1582no—
551C23—1582no—
552C23Q16×D7914yes—
553C23C2×D4×D7912yes—
554C23C2×D4×D7911yescharacteristic
555Q8—24no—
556Q8—42no—
557Q8—3168no—
558Q8—3162no—
559Q8—1584no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—48no—
567C2×C4—42no—
568C2×C4—44no—
569C2×C4—42no—
570C2×C4—31616no—
571C2×C4—3168no—
572C2×C4—3168no—
573C2×C4—31616no—
574C2×C4—3168no—
575C2×C4—3162no—
576C2×C4—3164no—
577C2×C4—3162no—
578C2×C4—794no—
579C2×C4—792no—
580C2×C4—798no—
581C2×C4—798no—
582C2×C4—792no—
583C2×C4—1588no—
584C2×C4—1588no—
585C2×C4—1582no—
586C2×C4—1582no—
587C2×C4—1584no—
588C2×C4—1588no—
589C2×C4—1582no—
590C2×C4—1584no—
591C2×C4—1584no—
592C2×C4C2×D4×D7912yes—
593C2×C4C2×D4×D7911yescharacteristic
594C2×C4#41×D7914yes—
595C2×C4C24×D7911yescharacteristic
596C8—24no—
597C8—1584no—
598C22—22no—
599C22—28no—
600C22—22no—
601C22—794no—
602C22—794no—
603C22—7916no—
604C22—794no—
605C22—794no—
606C22—15832no—
607C22—1582no—
608C22—1588no—
609C22—1582no—
610C22#123×D7912yes—
611C22C2×Q16×D7914yes—
612C22C2×Q16×D7912yes—
613C22AGL(1,ℤ/8)×D7912yes—
614C22C22×D4×D7911yescharacteristic
615C4—22no—
616C4—44no—
617C4—42no—
618C4—42no—
619C4—3164no—
620C4—3162no—
621C4—3162no—
622C4—794no—
623C4—1582no—
624C4#123×D7912yes—
625C4C2×#41×D7912yes—
626C2—24no—
627C2—798no—
628C2—1584no—
629C2#484×D7914yesdirect product factor
630C2C2×#123×D7911yescharacteristic
631C2C22×Q16×D7911yescharacteristic
632C2C2×AGL(1,ℤ/8)×D7911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#484×C79C2
socleC23×C79C22×D4
prime radicalC24×D79D4
hypercenterC2×#484D79
hypocenterC79C22×#484
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
3. C2×#19098900C2semidirect
4. C2×#19098899C2semidirect
5. C2×#19098898C2semidirect
6. C2×#19098897C2semidirect
7. C2×#19098896C2semidirect
8. #484×D79C2direct (N × H)
9. C2×#107×D79C2semidirect
10. C2×#103×D79C2semidirect
12. C2×#484×C79C2semidirect
35. #19098900C22semidirect
36. #19098899C22semidirect
37. #19098898C22semidirect
38. #19098897C22semidirect
39. #19098896C22semidirect
40. C2×#14579095C22semidirect
41. C2×#14579094C22semidirect
42. C2×#14579094C22semidirect
43. #107×D79C22semidirect
44. C2×#14579086C22semidirect
45. C2×#14579085C22semidirect
46. C2×#14579084C22semidirect
47. #103×D79C22semidirect
53. #484×C79C22semidirect
54. C2×#107×C79C22semidirect
55. C2×#103×C79C22semidirect
114. #14579095C23semidirect
115. #14579094C23semidirect
116. #14579094C23semidirect
117. #14579086C23semidirect
118. #14579085C23semidirect
119. #14579084C23semidirect
135. #107×C79C23semidirect
136. #103×C79C23semidirect
293. C2×D79#484direct (N × H)
311. C2×C79C2×#484semidirect
316. D79C2×#484direct (N × H)
325. C2×#484D79direct (N × H)
329. C79C22×#484semidirect
359. #484C2×D79direct (N × H)
364. C2×#107C2×D79semidirect
369. C2×#103C2×D79semidirect
447. #107C22×D79semidirect
451. #103C22×D79semidirect
629. C2#484×D79direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D792
C22×C4⋊C4×D792
C2×#190989002
C2×#190988992
C2×#190988982
C2×#190988972
C2×#190988962
#484×D792
C2×#107×D792
C2×#103×D792
C2×C22⋊C8×D792
C2×#484×C792
C22×#48479