Finite Group Databasebeta

← #34305559

Subgroups — #34305559

Order 20224.

1038 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
1C2×#19098562C211yesmaximal, characteristic
2#23766231C211yesmaximal, characteristic
3#23764089C211yesmaximal, characteristic, complemented
4#23764075C211yesmaximal, characteristic, complemented
5#23764041C211yesmaximal, characteristic, complemented
6#23764034C211yesmaximal, characteristic, complemented
7#23763660C211yesmaximal, characteristic, complemented
8#23763646C211yesmaximal, characteristic, complemented
9#23763490C211yesmaximal, characteristic, complemented
10#23763431C211yesmaximal, characteristic, complemented
11#23763338C211yesmaximal, characteristic
12#23763228C211yesmaximal, characteristic, complemented
13C4×#14579081C211yesmaximal, characteristic, complemented
14#23763184C211yesmaximal, characteristic, complemented
15C79×#2344C211yesmaximal, characteristic, complemented
16C22×#11929624C2211yescharacteristic
17C22×#11929608C2211yescharacteristic
18C2×C4×D316C2211yescharacteristic
19C2×C4×D316C2211yescharacteristic
20C2×#14579094C2211yescharacteristic
21C2×#14579092C2211yescharacteristic
22#19098562C418yescomplemented
23C2×#14579084C2211yescharacteristic
24C2×#14579084C2211yescharacteristic
25C2×#14579084C2211yescharacteristic
26C2×#14579084C2211yescharacteristic
27C2×#14579081C2211yescharacteristic
28C2×#14579081C2211yescharacteristic
29C2×#14579081C2211yescharacteristic
30C2×#14579081C2211yescharacteristic
31C2×C22⋊(C79⋊C8)C2211yescharacteristic
32C2×#14579072C2211yescharacteristic
33C2×C4×C79⋊C8C2211yescharacteristic
34#19098469C2211yescharacteristic
35#19098469C2211yescharacteristic
36#19098439—21no—
37#19098439—21no—
38#19098425—21no—
39#19098423C2211yescharacteristic
40#95×D79—21no—
41#19098325C2211yescharacteristic
42#19098325C2211yescharacteristic
43#19098325C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098318C2211yescharacteristic
48#19098318C2211yescharacteristic
49C2×#117×C79—21no—
50C22×C4⋊C4×C79C2211yescharacteristic
51#389×C79C2211yescharacteristic
52#389×C79C2211yescharacteristic
53#387×C79—21no—
54#387×C79—21no—
55#381×C79—21no—
56#380×C79C2211yescharacteristic
57C4×C4⋊C4×C79C2211yescharacteristic
58C4×C4⋊C4×C79C2211yescharacteristic
59C4×C22⋊C4×C79C2211yescharacteristic
60C2×#11929624—22no—
61C2×#11929624—22no—
62C2×#11929624—22no—
63C2×#11929624—41no—
64C2×#11929624—41no—
65C2×#11929624C2×C414yes—
66C22×Dic158C2311yescharacteristic
67C22×D316C2311yescharacteristic
68C22×C22⋊D79—21no—
69C22×C4×D79—21no—
70C22×C4×D79—21no—
71C22×C4×D79—21no—
72C2×#11929608—41no—
73C2×#11929608—41no—
74C2×#11929608C2×C414yescomplemented
75C22×C79⋊C8C2311yescharacteristic
76C22×C79⋊C8C2311yescharacteristic
77C22×C79⋊C8C2311yescharacteristic
78C22×C79⋊C8C2311yescharacteristic
79C4×D316—22no—
80C4×D316—22no—
81C4×D316—41no—
82C4×D316—41no—
83C2×C4⋊Dic79C2311yescharacteristic
84C2×C4⋊Dic79C2311yescharacteristic
85C2×C22⋊Dic79—21no—
86C2×(C2×D79)⋊C4—21no—
87C2×(C2×D79)⋊C4—21no—
88#14579094—41no—
89#14579092—41no—
90#14579084—41no—
91#14579084—41no—
92#14579084C2×C414yescomplemented
93#14579084C2×C414yescomplemented
94#14579081—22no—
95#14579081—22no—
96#14579081C2×C414yes—
97#14579081C2×C414yes—
98C22⋊(C79⋊C8)—22no—
99#14579072—41no—
100C4×C79⋊C8—41no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C79⋊#95—21no—
104C79⋊#95—21no—
105C79⋊#95—21no—
106C23×C4×C79—21no—
107C23×C4×C79C2311yescharacteristic
108#117×C79—44no—
109C2×C4⋊C4×C79—21no—
110C2×C4⋊C4×C79—22no—
111C2×C4⋊C4×C79—21no—
112C2×C4⋊C4×C79—21no—
113C2×C4⋊C4×C79C2×C414yescomplemented
114C2×C4⋊C4×C79C2311yescharacteristic
115C2×C4⋊C4×C79C2311yescharacteristic
116C2×C4⋊C4×C79C2311yescharacteristic
117C2×C4⋊C4×C79C2311yescharacteristic
118C2×C22⋊C4×C79—21no—
119C2×C22⋊C4×C79D411yescharacteristic
120C2×C22⋊C4×C79D411yescharacteristic
121C2×C42×C79—21no—
122C2×C42×C79—21no—
123C2×C42×C79C2311yescharacteristic
124C2×C42×C79C2311yescharacteristic
125#95×C79—21no—
126#95×C79—21no—
127#95×C79—21no—
128#95×C79—21no—
129#95×C79—21no—
130#95×C79D411yescharacteristic
131#95×C79D411yescharacteristic
132C23×D79—21no—
133#11929624—28no—
134#11929624—44no—
135#11929624—44no—
136#11929624—44no—
137C2×Dic158—21no—
138C2×Dic158—21no—
139C2×Dic158—21no—
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158C22×C412yes—
143C2×D316—21no—
144C2×D316—21no—
145C2×D316—21no—
146C2×D316C22×C412yes—
147C2×D316#4112yes—
148C2×D316#4112yes—
149C2×C22⋊D79—24no—
150C2×C22⋊D79—42no—
151C2×C22⋊D79—42no—
152C22×Dic79—21no—
153C22×Dic79—21no—
154C22×Dic79—21no—
155C2×C4×D79—24no—
156C2×C4×D79—42no—
157C2×C4×D79—42no—
158C2×C4×D79—42no—
159C2×C4×D79—42no—
160C2×C4×D79—42no—
161C2×C4×D79—42no—
162C2×C4×D79—81no—
163C2×C4×D79—81no—
164#11929608—44no—
165C2×C79⋊C8—21no—
166C2×C79⋊C8—21no—
167C2×C79⋊C8—21no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8—21no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8C22×C412yes—
176C2×C79⋊C8C22×C412yes—
177C4⋊Dic79—21no—
178C4⋊Dic79—21no—
179C4⋊Dic79—21no—
180C4⋊Dic79—21no—
181C22⋊Dic79—81no—
182(C2×D79)⋊C4—42no—
183(C2×D79)⋊C4—42no—
184C24×C79C2×D411yescharacteristic
185C22×C4×C79—21no—
186C22×C4×C79—21no—
187C22×C4×C79—21no—
188C22×C4×C79—21no—
189C22×C4×C79—24no—
190C22×C4×C79—21no—
191C22×C4×C79—21no—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—42no—
195C22×C4×C79—42no—
196C22×C4×C79C22×C412yes—
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79#4112yes—
203C22×C4×C79C2411yescharacteristic
204C4⋊C4×C79—24no—
205C4⋊C4×C79—21no—
206C4⋊C4×C79—21no—
207C4⋊C4×C79—21no—
208C4⋊C4×C79—21no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—42no—
212C4⋊C4×C79—42no—
213C4⋊C4×C79C22×C412yes—
214C4⋊C4×C79C22×C412yes—
215C22⋊C4×C79—22no—
216C22⋊C4×C79—41no—
217C22⋊C4×C79—42no—
218C42×C79—21no—
219C42×C79—21no—
220C42×C79—21no—
221C42×C79—21no—
222C42×C79—42no—
223C42×C79—42no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79C4×D412yes—
231C23×C79C22×D411yescharacteristic
232C22×D79—22no—
233C22×D79—22no—
234C22×D79—22no—
235C22×D79—41no—
236C22×D79—41no—
237C22×D79—41no—
238C22×D79—41no—
239C2×C4×C79—21no—
240C2×C4×C79—21no—
241C2×C4×C79—21no—
242C2×C4×C79—21no—
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—21no—
250C2×C4×C79—21no—
251C2×C4×C79—21no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—21no—
256C2×C4×C79—21no—
257C2×C4×C79—21no—
258C2×C4×C79—48no—
259C2×C4×C79—41no—
260C2×C4×C79—41no—
261C2×C4×C79—41no—
262C2×C4×C79—41no—
263C2×C4×C79—41no—
264C2×C4×C79—41no—
265C2×C4×C79—41no—
266C2×C4×C79—41no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79C4×D412yes—
270C2×C4×C79AGL(1,ℤ/8)12yes—
271C2×C4×C79C23×C411yescharacteristic
272C2×C4×C79C2×#4111yescharacteristic
273C2×C4×C79C2×#4111yescharacteristic
274C2×C4×C79C2×#4111yescharacteristic
275C2×C4×C79H(5,𝔽2)11yescharacteristic
276C2×C4×C79H(5,𝔽2)11yescharacteristic
277C22⋊D79—48no—
278C2×Dic79—22no—
279C2×Dic79—41no—
280C2×Dic79—41no—
281C2×Dic79—41no—
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286C2×Dic79—41no—
287D316—22no—
288D316—22no—
289D316—22no—
290D316#11714yescomplemented
291C4×D79—48no—
292C4×D79—84no—
293C4×D79—84no—
294Dic158—22no—
295Dic158—22no—
296Dic158—41no—
297Dic158—41no—
298C79⋊C8—22no—
299C79⋊C8—22no—
300C79⋊C8—41no—
301C79⋊C8—41no—
302C22×C79—22no—
303C22×C79—22no—
304C22×C79—22no—
305C22×C79—41no—
306C22×C79—41no—
307C22×C79—41no—
308C22×C79—41no—
309C22×C79C2×C4×D411yescharacteristic
310C22×C79#54611yescharacteristic
311C22×C79#54611yescharacteristic
312C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C79#57511yescharacteristic
314C22×C79#57711yescharacteristic
315C22×C79#57811yescharacteristic
316C2×D79—24no—
317C2×D79—42no—
318C2×D79—42no—
319C2×D79—42no—
320C2×D79—42no—
321C2×D79—42no—
322C2×D79—42no—
323C4×C79—22no—
324C4×C79—22no—
325C4×C79—41no—
326C4×C79—42no—
327C4×C79—42no—
328C4×C79—41no—
329C4×C79—41no—
330C4×C79—81no—
331C4×C79—81no—
332C4×C79C2×#11711yescharacteristic
333C4×C79#51811yescharacteristic
334C4×C79#55111yescharacteristic
335C4×C79#55111yescharacteristic
336Dic79—42no—
337Dic79—81no—
338Dic79—81no—
339#22582—791nomaximal, Sylow
340C2×C79—42no—
341C2×C79#234211yescharacteristic
342C2×C79C4×AGL(1,ℤ/8)11yescharacteristic
343C2×C79#294711yescharacteristic
344C2×C79#330611yescharacteristic
345C2×C79#331511yescharacteristic
346C2×C79#332311yescharacteristic
347C2×C79#333011yescharacteristic
348D79—44no—
349C2×#417—791no—
350#2344D7911yescharacteristic, complemented
351#2339—791no—
352#1935—791no—
353#1933—791no—
354#1928—791no—
355#1927—791no—
356#1864—791no—
357#1862—791no—
358#1824—791no—
359#1809—791no—
360#1788—791no—
361#1762—791no—
362C4×#102—791no—
363#1753—791no—
364C79#2258211yescharacteristic, complemented, Sylow
365C22×#41—791no—
366C22×M16—791no—
367C2×C4×D4—791no—
368C2×C4×D4—791no—
369C2×#117—21no—
370C22×C4⋊C4C2×D7911yescharacteristic
371C2×#107—791no—
372C2×#106—791no—
373#417—798no—
374C2×#103—791no—
375C2×#103—791no—
376C2×#103—791no—
377C2×#103—791no—
378C2×#102—791no—
379C2×#102—791no—
380C2×#102—791no—
381C2×#102—791no—
382C2×C22⋊C8—791no—
383C2×#97—791no—
384C2×C4×C8—791no—
385#391—791no—
386#391—791no—
387#389C2×D7911yescharacteristic
388#389C2×D7911yescharacteristic
389#387—21no—
390#387—21no—
391#386—1581no—
392#386—1581no—
393#381—21no—
394#381—1581no—
395#380—791no—
396#380C2×D7911yescharacteristic
397C4×C4⋊C4C2×D7911yescharacteristic
398C4×C4⋊C4C2×D7911yescharacteristic
399C4×C22⋊C4C2×D7911yescharacteristic
400C2×#95—1581no—
401#340—791no—
402#340—791no—
403#340—791no—
404#340—791no—
405#340—791no—
406#340—791no—
407#336—791no—
408#336—791no—
409C2×#41—3161no—
410C2×#41—3161no—
411C2×#41—794no—
412C2×#41—1582no—
413C2×#41—1582no—
414C2×#41—1582no—
415C22×Q8—791no—
416C22×D4—791no—
417C22×D4—1581no—
418C23×C4—21no—
419C23×C4—1581no—
420C23×C4—1581no—
421C23×C4—1581no—
422C23×C4C22×D7911yescharacteristic
423C2×M16—3161no—
424C2×M16—3161no—
425C2×M16—794no—
426C22×C8—791no—
427C22×C8—791no—
428C22×C8—791no—
429C22×C8—791no—
430C4×D4—3161no—
431C4×D4—3161no—
432C4×D4—1582no—
433C4×D4—1582no—
434#117—44no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—791no—
440C2×C4⋊C4—791no—
441C2×C4⋊C4C4×D7914yescomplemented
442C2×C4⋊C4C22×D7911yescharacteristic
443C2×C4⋊C4C22×D7911yescharacteristic
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C4⋊C4C22×D7911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1581no—
448C2×C22⋊C4—1581no—
449C2×C22⋊C4—1581no—
450C2×C22⋊C4C22⋊D7911yescharacteristic
451C2×C22⋊C4C22⋊D7911yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42C22×D7911yescharacteristic
455C2×C42C22×D7911yescharacteristic
456#107—3161no—
457#106—3161no—
458#103—3161no—
459#103—3161no—
460#103—794no—
461#103—794no—
462#102—794no—
463#102—794no—
464#102—1582no—
465#102—1582no—
466C22⋊C8—1582no—
467#97—3161no—
468C4×C8—3161no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1581no—
475#95—1581no—
476#95—1581no—
477#95—1581no—
478#95—1581no—
479#95C22⋊D7911yescharacteristic
480#95C22⋊D7911yescharacteristic
481C24—1581no—
482C24C2×C22⋊D7911yescharacteristic
483#41—3164no—
484#41—3164no—
485#41—3164no—
486#41—1588no—
487C2×Q8—792no—
488C2×Q8—1581no—
489C2×Q8—1581no—
490C2×Q8—1581no—
491C2×Q8—1581no—
492C2×Q8—1581no—
493C2×D4—3162no—
494C2×D4—3162no—
495C2×D4—792no—
496C2×D4—792no—
497C2×D4—792no—
498C2×D4—1584no—
499C2×D4—1581no—
500C2×D4—1581no—
501C2×D4—1581no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—3162no—
514C22×C4—3162no—
515C22×C4—3162no—
516C22×C4—3162no—
517C22×C4—3162no—
518C22×C4—3162no—
519C22×C4—6321no—
520C22×C4—6321no—
521C22×C4—1581no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4—1584no—
525C22×C4C2×C4×D7912yes—
526C22×C4C2×C22⋊D7911yescharacteristic
527C22×C4C2×C22⋊D7911yescharacteristic
528C22×C4C2×C22⋊D7911yescharacteristic
529C22×C4C2×C22⋊D7911yescharacteristic
530C22×C4C2×C22⋊D7911yescharacteristic
531C22×C4#1192962412yes—
532C22×C4C23×D7911yescharacteristic
533M16—3164no—
534C2×C8—792no—
535C2×C8—792no—
536C2×C8—1581no—
537C2×C8—1581no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8—1581no—
541C2×C8—1581no—
542C2×C8—1581no—
543C2×C8—1581no—
544C2×C8—1581no—
545C2×C8—1581no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—1581no—
556C4⋊C4—1581no—
557C4⋊C4—1581no—
558C4⋊C4—1581no—
559C4⋊C4C2×C4×D7912yes—
560C4⋊C4C2×C4×D7912yes—
561C22⋊C4—22no—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—3162no—
565C22⋊C4—3162no—
566C22⋊C4—6321no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—42no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—3161no—
580C23—3161no—
581C23—3161no—
582C23—3161no—
583C23—1582no—
584C23—1582no—
585C23—1582no—
586C23C4×C22⋊D7912yes—
587C23C22×C22⋊D7911yescharacteristic
588Q8—3161no—
589Q8—3161no—
590Q8—1582no—
591Q8—1582no—
592D4—3168no—
593D4—794no—
594D4—1582no—
595D4—1582no—
596D4—1582no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—3168no—
628C2×C4—3161no—
629C2×C4—3161no—
630C2×C4—3161no—
631C2×C4—3161no—
632C2×C4—3161no—
633C2×C4—3161no—
634C2×C4—3161no—
635C2×C4—3161no—
636C2×C4—6324no—
637C2×C4—6324no—
638C2×C4—1582no—
639C2×C4C4×C22⋊D7912yes—
640C2×C4#1457918712yes—
641C2×C4C22×C4×D7911yescharacteristic
642C2×C4#41×D7911yescharacteristic
643C2×C4#41×D7911yescharacteristic
644C2×C4C2×#1192962411yescharacteristic
645C2×C4#1457920711yescharacteristic
646C2×C4#1457920711yescharacteristic
647C8—3161no—
648C8—3161no—
649C8—1582no—
650C8—1582no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—3162no—
659C22—3162no—
660C22—3162no—
661C22—3162no—
662C22—3162no—
663C22—3162no—
664C22—1584no—
665C22C2×C4×C22⋊D7911yescharacteristic
666C22#1909920111yescharacteristic
667C22#1909920111yescharacteristic
668C22C2×#1457918711yescharacteristic
669C22#1909936111yescharacteristic
670C22#1909937111yescharacteristic
671C22#1909937811yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—42no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—3162no—
682C4—6321no—
683C4—6321no—
684C4#117×D7911yescharacteristic
685C4#1909903711yescharacteristic
686C4#1909923711yescharacteristic
687C4#1909923711yescharacteristic
688C2—42no—
689C2—3164no—
690C2#2376625011yescharacteristic
691C2C4×#1457918711yescharacteristic
692C2#2377224311yescharacteristic
693C2#2377535511yescharacteristic
694C2#2377549011yescharacteristic
695C2#2377561011yescharacteristic
696C2#2377569911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2344C2
socleC23×C79C22×D4
prime radicalC22×#11929624C22
cosocleC22×C4×C79C24
hypercenter#2344D79
hypocenterC79#22582
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #23764089C2semidirect
4. #23764075C2semidirect
5. #23764041C2semidirect
6. #23764034C2semidirect
7. #23763660C2semidirect
8. #23763646C2semidirect
9. #23763490C2semidirect
10. #23763431C2semidirect
12. #23763228C2semidirect
13. C4×#14579081C2semidirect
14. #23763184C2semidirect
15. C79×#2344C2semidirect
22. #19098562C4semidirect
74. C2×#11929608C2×C4semidirect
92. #14579084C2×C4semidirect
93. #14579084C2×C4semidirect
113. C2×C4⋊C4×C79C2×C4semidirect
290. D316#117semidirect
350. #2344D79semidirect
364. C79#22582semidirect
441. C2×C4⋊C4C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190985622
#237662312
#237640892
#237640752
#237640412
#237640342
#237636602
#237636462
#237634902
#237634312
#237633382
#237632282
C4×#145790812
#237631842
C79×#23442
#2258279