Finite Group Databasebeta

← C2×#23777908 #35195723

Subgroups — C2×#23777908 #35195723

Order 20224.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777908C2132yesmaximal, direct product factor
2C2×#19099317C214yesmaximal, complemented
3C2×#19099298C212yesmaximal, complemented
4C2×#19099289C212yesmaximal, complemented
5C2×#19099287C212yesmaximal, complemented
6C2×#19099269C212yesmaximal, complemented
7C2×#19099251C214yesmaximal, complemented
8C2×#19099186C212yesmaximal, complemented
9C2×#19099179C214yesmaximal, complemented
10C2×#19099168C211yesmaximal, characteristic
11C2×#19099154C214yesmaximal, complemented
12C2×#19099116C211yesmaximal, characteristic, complemented
13C2×#19099099C212yesmaximal, complemented
14C2×#541×C79C211yesmaximal, characteristic, complemented
15#19099317C22164yescomplemented
16#19099298C22132yescomplemented
17#19099289C22132yescomplemented
18#19099287C22132yescomplemented
19#19099269C22132yescomplemented
20#19099251C22164yescomplemented
21#19099186C22132yescomplemented
22#19099179C22164yescomplemented
23#19099168C22116yes—
24#19099154C22164yescomplemented
25#19099116C22116yescomplemented
26C2×#14579160C2214yes—
27C2×#14579160C2212yes—
28C2×#14579160C2212yes—
29C2×#14579158C2211yescharacteristic
30#19099099C22132yescomplemented
31C2×#14579156C2214yes—
32C2×#14579156C2214yes—
33C2×#14579156C2214yes—
34C2×#14579156C2214yes—
35C2×#14579153C2211yescharacteristic
36C2×#14579153C2214yes—
37C2×#14579152C2212yes—
38C2×#14579152C2214yes—
39C2×#14579152C2212yes—
40C2×#14579150C2212yes—
41C2×#14579150C2212yes—
42C2×#14579149C2214yes—
43C2×#14579147C2214yes—
44C2×#14579146C2214yes—
45C2×#14579146C2214yes—
46C2×#14579146C2214yes—
47C2×#14579145C2214yes—
48C2×#14579143C2214yes—
49C2×#14579141C2214yes—
50C2×#14579141C2214yes—
51C2×#14579141C2214yes—
52C2×#14579139C2214yes—
53C2×#14579139C2214yes—
54C2×#14579138C2212yes—
55C2×#14579138C2212yes—
56C2×#14579135C2212yes—
57C2×#14579134C2214yes—
58C2×Q8×Dic79C2212yes—
59C2×Q8×Dic79C2212yes—
60C2×C4×Dic158C2214yes—
61C2×C4×Dic158C2212yes—
62C2×C4×Dic158C2212yes—
63C2×C4×D316C2214yes—
64C2×C4×D316C2212yes—
65C2×#14579123C2212yes—
66C2×#14579123C2212yes—
67C2×(C22⋊D79)⋊C4C2214yes—
68C2×#14579120C2211yescharacteristic
69C2×#14579119C2214yes—
70C2×#14579119C2214yes—
71C2×C4⋊C4×D79C2214yes—
72C22×C4×Dic79C2211yescharacteristic
73#541×C79C22116yescomplemented
74C2×C4⋊Q8×C79C2211yescharacteristic
75C2×#126×C79C2214yes—
76C2×#125×C79C2214yes—
77C2×#125×C79C2211yescharacteristic
78C2×C22⋊Q8×C79C2212yes—
79C2×C4×Q8×C79C2212yes—
80C2×#117×C79C2211yescharacteristic
81C22×Dic158C2312yes—
82C22×Dic158C2312yes—
83C22×Dic158C2314yes—
84C22×D316C2312yes—
85C22×D316C2314yes—
86C22×C22⋊D79C2314yes—
87C23×Dic79C2312yes—
88C22×C4×D79C2314yes—
89C22×C4×D79C2314yes—
90C22×C4×D79C2314yes—
91#14579160C23132yes—
92#14579160C23116yes—
93#14579160C23116yes—
94#14579158C2318yes—
95#14579156C23132yes—
96#14579156C23132yes—
97#14579156C23132yes—
98#14579156C23132yes—
99#14579153C23132yes—
100#14579153C2318yes—
101#14579152C23132yes—
102#14579152C23116yes—
103#14579152C23116yes—
104#14579150C23116yes—
105#14579150C23116yes—
106#14579149C23132yes—
107#14579147C23132yes—
108#14579146C23132yes—
109#14579146C23132yes—
110#14579146C23132yes—
111#14579145C23132yes—
112#14579143C23132yes—
113#14579141C23132yes—
114#14579141C23132yes—
115#14579141C23132yes—
116#14579139C23132yes—
117#14579139C23132yes—
118#14579138C23116yes—
119#14579138C23116yes—
120#14579135C23116yes—
121#14579134C23132yes—
122Q8×Dic79C23116yes—
123Q8×Dic79C23116yes—
124C4×Dic158C23132yes—
125C4×Dic158C23116yes—
126C4×Dic158C23116yes—
127C4×D316C23132yes—
128C4×D316C23116yes—
129#14579123C23116yes—
130#14579123C23116yes—
131(C22⋊D79)⋊C4C23132yes—
132#14579120C2318yes—
133#14579119C23132yes—
134#14579119C23132yes—
135C2×C4⋊Dic79C2314yes—
136C2×C4⋊Dic79C2312yes—
137C2×C4⋊Dic79C2312yes—
138C2×C4⋊Dic79C2312yes—
139C2×C4⋊Dic79C2312yes—
140C2×C4⋊Dic79C2314yes—
141C2×C4⋊Dic79C2314yes—
142C2×Dic79⋊C4C2312yes—
143C2×Dic79⋊C4C2314yes—
144C2×Dic79⋊C4C2314yes—
145C2×Dic79⋊C4C2312yes—
146C2×Dic79⋊C4C2314yes—
147C2×Dic79⋊C4C2312yes—
148C2×Dic79⋊C4C2312yes—
149C4⋊C4×D79C23132yes—
150C2×C22⋊Dic79C2311yescharacteristic
151C2×C22⋊Dic79C2311yescharacteristic
152C2×(C2×D79)⋊C4C2314yes—
153C2×(C2×D79)⋊C4C2314yes—
154C2×(C2×D79)⋊C4C2314yes—
155C2×(C2×D79)⋊C4C2314yes—
156C2×(C2×D79)⋊C4C2314yes—
157C2×(C2×D79)⋊C4C2314yes—
158C2×(C2×D79)⋊C4C2314yes—
159C2×(C2×D79)⋊C4C2314yes—
160C2×C4×Dic79C2311yescharacteristic
161C2×C4×Dic79C2312yes—
162C2×C4×Dic79C2311yescharacteristic
163C2×C4×Dic79C2318yes—
164C2×C4×Dic79C2314yes—
165C2×C4×Dic79C2314yes—
166C2×C4×Dic79C2312yes—
167C22×Q8×C79C2312yes—
168C23×C4×C79C2311yescharacteristic
169C4⋊Q8×C79C2318yes—
170#126×C79C23132yes—
171#125×C79C23132yes—
172#125×C79C2318yes—
173C22⋊Q8×C79C23116yes—
174C4×Q8×C79C23116yes—
175#117×C79C2318yes—
176C2×C4⋊C4×C79C2312yes—
177C2×C4⋊C4×C79C2312yes—
178C2×C4⋊C4×C79C2314yes—
179C2×C4⋊C4×C79C2314yes—
180C2×C4⋊C4×C79C2314yes—
181C2×C4⋊C4×C79C2314yes—
182C2×C22⋊C4×C79C2312yes—
183C2×C22⋊C4×C79C2314yes—
184C2×C42×C79C2311yescharacteristic
185C2×C42×C79C2311yescharacteristic
186C2×C42×C79C2314yes—
187C23×D79C2414yes—
188C2×Dic158—44no—
189C2×Dic158—48no—
190C2×Dic158—44no—
191C2×Dic158C2418yes—
192C2×Dic158C2418yes—
193C2×Dic158C24116yes—
194C2×D316—28no—
195C2×D316—48no—
196C2×D316C2418yes—
197C2×D316C24116yes—
198C2×C22⋊D79—48no—
199C2×C22⋊D79C24116yes—
200C22×Dic79—44no—
201C22×Dic79C2412yes—
202C22×Dic79C2412yes—
203C22×Dic79C2414yes—
204C22×Dic79C2412yes—
205C22×Dic79C2412yes—
206C22×Dic79C2418yes—
207C2×C4×D79—48no—
208C2×C4×D79—48no—
209C2×C4×D79—48no—
210C2×C4×D79C24116yes—
211C2×C4×D79C24116yes—
212C2×C4×D79C24116yes—
213C4⋊Dic79C24116yes—
214C4⋊Dic79C2418yes—
215C4⋊Dic79C2418yes—
216C4⋊Dic79C2418yes—
217C4⋊Dic79C2418yes—
218C4⋊Dic79C24116yes—
219C4⋊Dic79C24116yes—
220Dic79⋊C4C2418yes—
221Dic79⋊C4C24116yes—
222Dic79⋊C4C24116yes—
223Dic79⋊C4C2418yes—
224Dic79⋊C4C24116yes—
225Dic79⋊C4C2418yes—
226Dic79⋊C4C2418yes—
227C22⋊Dic79C2414yes—
228C22⋊Dic79C2414yes—
229(C2×D79)⋊C4C24116yes—
230(C2×D79)⋊C4C24116yes—
231(C2×D79)⋊C4C24116yes—
232(C2×D79)⋊C4C24116yes—
233(C2×D79)⋊C4C24116yes—
234(C2×D79)⋊C4C24116yes—
235(C2×D79)⋊C4C24116yes—
236(C2×D79)⋊C4C24116yes—
237C4×Dic79C2414yes—
238C4×Dic79C2418yes—
239C4×Dic79C2414yes—
240C4×Dic79C24116yes—
241C4×Dic79C24116yes—
242C4×Dic79C2418yes—
243C24×C79C2411yescharacteristic
244C2×Q8×C79—28no—
245C2×Q8×C79C2418yes—
246C22×C4×C79—24no—
247C22×C4×C79C2412yes—
248C22×C4×C79C2412yes—
249C22×C4×C79C2414yes—
250C22×C4×C79C2414yes—
251C22×C4×C79C2411yescharacteristic
252C22×C4×C79C2414yes—
253C22×C4×C79C2411yescharacteristic
254C4⋊C4×C79C2418yes—
255C4⋊C4×C79C2418yes—
256C4⋊C4×C79C24116yes—
257C4⋊C4×C79C24116yes—
258C4⋊C4×C79C24116yes—
259C4⋊C4×C79C24116yes—
260C22⋊C4×C79C2418yes—
261C22⋊C4×C79C24116yes—
262C42×C79C2414yes—
263C42×C79C2414yes—
264C42×C79C24116yes—
265C23×C79—22no—
266C23×C79—24no—
267C23×C79C2512yes—
268C23×C79C2511yescharacteristic
269C22×D79—28no—
270C22×D79—28no—
271C22×D79—28no—
272C22×D79C2518yes—
273Q8×C79—216no—
274C2×C4×C79—22no—
275C2×C4×C79—28no—
276C2×C4×C79—28no—
277C2×C4×C79—24no—
278C2×C4×C79—24no—
279C2×C4×C79—28no—
280C2×C4×C792−1+414yes—
281C2×C4×C79C2518yes—
282C2×C4×C79C2512yes—
283C2×C4×C79C2518yes—
284C2×C4×C79C2514yes—
285C2×C4×C79C2514yes—
286C2×C4×C79C2512yes—
287C22⋊D79—416no—
288C2×Dic79—24no—
289C2×Dic79—24no—
290C2×Dic79—28no—
291C2×Dic79—24no—
292C2×Dic79—24no—
293C2×Dic79—48no—
294C2×Dic79C2514yes—
295C2×Dic79C2514yes—
296C2×Dic79C2514yes—
297C2×Dic79C2518yes—
298C2×Dic79C2514yes—
299D316—216no—
300D316—416no—
301C4×D79—416no—
302C4×D79—416no—
303C4×D79—416no—
304Dic158—416no—
305Dic158—48no—
306Dic158—48no—
307C22×C79—22no—
308C22×C79—24no—
309C22×C79—44no—
310C22×C79C2×2−1+412yes—
311C22×C79#58514yes—
312C22×C79C2611yescharacteristic
313C2×D79—28no—
314C2×D79—28no—
315C2×D79—28no—
316C2×D79—416no—
317C4×C79—22no—
318C4×C79—28no—
319C4×C79—28no—
320C4×C79—24no—
321C4×C79—24no—
322C4×C79C2×2−1+414yes—
323Dic79—28no—
324Dic79—24no—
325Dic79—24no—
326Dic79—24no—
327Dic79—24no—
328C2×#3557—791nomaximal, Sylow
329C2×C79—42no—
330C2×C79#355714yescomplemented
331C2×C79C22×2−1+411yescharacteristic
332C2×C79C2×#58512yes—
333D79—48no—
334#3557—7932no—
335C2×#563—794no—
336C2×#559—792no—
337C2×#557—792no—
338C2×#556—792no—
339C2×#554—792no—
340C2×#552—794no—
341C2×#542—794no—
342C2×#542—792no—
343C2×#541D7911yescharacteristic, complemented
344C2×#540—791no—
345C2×#539—794no—
346C2×#533—791no—
347C2×#529—792no—
348C79C2×#355711yescharacteristic, complemented, Sylow
349#563—7964no—
350#559—7932no—
351#557—7932no—
352#556—7932no—
353#554—7932no—
354#552—7964no—
355#542—7964no—
356#542—7932no—
357#541C2×D79116yescomplemented
358#540—7916no—
359#539—7964no—
360#533—7916no—
361C2×C4⋊Q8—792no—
362C2×C4⋊Q8—792no—
363C2×C4⋊Q8—794no—
364C2×C4⋊Q8C2×D7911yescharacteristic
365C2×#127—791no—
366#529—7932no—
367C2×#126—794no—
368C2×#126—794no—
369C2×#126—794no—
370C2×#126—794no—
371C2×#126C2×D7914yes—
372C2×#125—792no—
373C2×#125—792no—
374C2×#125—794no—
375C2×#125—794no—
376C2×#125—791no—
377C2×#125C2×D7914yes—
378C2×#125C2×D7911yescharacteristic
379C2×#124—792no—
380C2×#124—792no—
381C2×#124—794no—
382C2×#124—794no—
383C2×#123—794no—
384C2×#123—794no—
385C2×#123—794no—
386C2×#123—794no—
387C2×#123—794no—
388C2×C22⋊Q8—794no—
389C2×C22⋊Q8—794no—
390C2×C22⋊Q8—794no—
391C2×C22⋊Q8—794no—
392C2×C22⋊Q8—794no—
393C2×C22⋊Q8—792no—
394C2×C22⋊Q8—792no—
395C2×C22⋊Q8C2×D7912yes—
396C2×#121—792no—
397C2×#121—794no—
398C2×C4×Q8—792no—
399C2×C4×Q8—792no—
400C2×C4×Q8—792no—
401C2×C4×Q8—792no—
402C2×C4×Q8—794no—
403C2×C4×Q8C2×D7912yes—
404C2×C4×D4—792no—
405C2×C4×D4—792no—
406C2×C4×D4—794no—
407C2×C4×D4—794no—
408C2×C4×D4—792no—
409C2×#117—791no—
410C2×#117—794no—
411C2×#117—794no—
412C2×#117C2×D7911yescharacteristic
413C22×C4⋊C4—794no—
414C22×C42—791no—
415C22×Q8—792no—
416C22×Q8—794no—
417C22×Q8—792no—
418C22×Q8C22×D7912yes—
419C22×D4—794no—
420C22×D4—794no—
421C22×D4—792no—
422C23×C4—792no—
423C23×C4—794no—
424C23×C4—794no—
425C23×C4—794no—
426C23×C4C22×D7911yescharacteristic
427C4⋊Q8—7916no—
428C4⋊Q8—7916no—
429C4⋊Q8—7932no—
430C4⋊Q8C22×D7918yes—
431#127—798no—
432#126—7932no—
433#126—7932no—
434#126—7932no—
435#126—7932no—
436#126C22×D79132yes—
437#125—7916no—
438#125—7916no—
439#125—7932no—
440#125—7932no—
441#125—798no—
442#125C22×D79132yes—
443#125C22×D7918yes—
444#124—7916no—
445#124—7916no—
446#124—7932no—
447#124—7932no—
448#123—7932no—
449#123—7932no—
450#123—7932no—
451#123—7932no—
452#123—7932no—
453C22⋊Q8—7932no—
454C22⋊Q8—7932no—
455C22⋊Q8—7932no—
456C22⋊Q8—7932no—
457C22⋊Q8—7932no—
458C22⋊Q8—7916no—
459C22⋊Q8—7916no—
460C22⋊Q8C22×D79116yes—
461#121—7916no—
462#121—7932no—
463C4×Q8—7916no—
464C4×Q8—7916no—
465C4×Q8—7916no—
466C4×Q8—7916no—
467C4×Q8—7932no—
468C4×Q8C22×D79116yes—
469C4×D4—7916no—
470C4×D4—7916no—
471C4×D4—7932no—
472C4×D4—7932no—
473C4×D4—7916no—
474#117—798no—
475#117—7932no—
476#117—7932no—
477#117C22×D7918yes—
478C2×C4⋊C4—792no—
479C2×C4⋊C4—794no—
480C2×C4⋊C4—794no—
481C2×C4⋊C4—792no—
482C2×C4⋊C4—792no—
483C2×C4⋊C4—792no—
484C2×C4⋊C4—792no—
485C2×C4⋊C4—794no—
486C2×C4⋊C4—792no—
487C2×C4⋊C4—794no—
488C2×C4⋊C4—792no—
489C2×C4⋊C4—794no—
490C2×C4⋊C4—792no—
491C2×C4⋊C4—794no—
492C2×C4⋊C4—7932no—
493C2×C4⋊C4C22×D7914yes—
494C2×C4⋊C4C22×D7914yes—
495C2×C4⋊C4C22×D7914yes—
496C2×C4⋊C4C22×D7912yes—
497C2×C4⋊C4C22×D7912yes—
498C2×C4⋊C4C22×D7914yes—
499C2×C22⋊C4—791no—
500C2×C22⋊C4—791no—
501C2×C22⋊C4—794no—
502C2×C22⋊C4—794no—
503C2×C22⋊C4—794no—
504C2×C22⋊C4—794no—
505C2×C22⋊C4—794no—
506C2×C22⋊C4—794no—
507C2×C22⋊C4—794no—
508C2×C22⋊C4—794no—
509C2×C22⋊C4C22×D7912yes—
510C2×C22⋊C4C22×D7914yes—
511C2×C42—791no—
512C2×C42—794no—
513C2×C42—792no—
514C2×C42—794no—
515C2×C42—792no—
516C2×C42—791no—
517C2×C42—798no—
518C2×C42C22×D7911yescharacteristic
519C2×C42C22×D7911yescharacteristic
520C2×C42C22×D7914yes—
521C24—794no—
522C24C23×D7911yescharacteristic
523C2×Q8—28no—
524C2×Q8—3164no—
525C2×Q8—3168no—
526C2×Q8—3164no—
527C2×Q8—798no—
528C2×Q8—7916no—
529C2×Q8—798no—
530C2×Q8C23×D7918yes—
531C2×D4—3168no—
532C2×D4—3168no—
533C2×D4—7916no—
534C2×D4—7916no—
535C2×D4—798no—
536C2×D4—1588no—
537C22×C4—24no—
538C22×C4—3168no—
539C22×C4—3168no—
540C22×C4—3168no—
541C22×C4—3164no—
542C22×C4—798no—
543C22×C4—7916no—
544C22×C4—7916no—
545C22×C4—7916no—
546C22×C4—792no—
547C22×C4—792no—
548C22×C4—792no—
549C22×C4—794no—
550C22×C4—792no—
551C22×C4C23×D7914yes—
552C22×C4C23×D7914yes—
553C22×C4C23×D7911yescharacteristic
554C22×C4C23×D7912yes—
555C22×C4C23×D7912yes—
556C22×C4C23×D7914yes—
557C22×C4C23×D7911yescharacteristic
558C4⋊C4—798no—
559C4⋊C4—7916no—
560C4⋊C4—7916no—
561C4⋊C4—798no—
562C4⋊C4—7916no—
563C4⋊C4—798no—
564C4⋊C4—798no—
565C4⋊C4—7916no—
566C4⋊C4—798no—
567C4⋊C4—798no—
568C4⋊C4—798no—
569C4⋊C4—798no—
570C4⋊C4—7916no—
571C4⋊C4—7916no—
572C4⋊C4C23×D79116yes—
573C4⋊C4C23×D79116yes—
574C4⋊C4C23×D79116yes—
575C4⋊C4C23×D7918yes—
576C4⋊C4C23×D7918yes—
577C4⋊C4C23×D79116yes—
578C22⋊C4—794no—
579C22⋊C4—794no—
580C22⋊C4—7916no—
581C22⋊C4—7916no—
582C22⋊C4—7916no—
583C22⋊C4—7916no—
584C22⋊C4—7916no—
585C22⋊C4—7916no—
586C22⋊C4—7916no—
587C22⋊C4—7916no—
588C22⋊C4C23×D7918yes—
589C22⋊C4C23×D79116yes—
590C42—794no—
591C42—798no—
592C42—794no—
593C42—7916no—
594C42—798no—
595C42—7916no—
596C42C23×D7914yes—
597C42C23×D7914yes—
598C42C23×D79116yes—
599C23—22no—
600C23—24no—
601C23—798no—
602C23—1588no—
603C23—1588no—
604C23—1588no—
605C23C24×D7912yes—
606C23C24×D7911yescharacteristic
607Q8—216no—
608Q8—3168no—
609Q8—31616no—
610Q8—3168no—
611D4—31616no—
612D4—31616no—
613D4—15816no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—31616no—
621C2×C4—31616no—
622C2×C4—31616no—
623C2×C4—3168no—
624C2×C4—794no—
625C2×C4—794no—
626C2×C4—794no—
627C2×C4—798no—
628C2×C4—794no—
629C2×C4—1584no—
630C2×C4—1584no—
631C2×C4—1588no—
632C2×C4—1584no—
633C2×C4—1584no—
634C2×C4#1457920814yes—
635C2×C4C24×D7918yes—
636C2×C4C24×D7912yes—
637C2×C4C24×D7914yes—
638C2×C4C24×D7914yes—
639C2×C4C24×D7918yes—
640C2×C4C24×D7912yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—31616no—
645C22—1588no—
646C22—1588no—
647C22—1588no—
648C22C2×#1457920812yes—
649C22#1909940014yes—
650C22C25×D7911yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—1584no—
657C4—1584no—
658C4—1588no—
659C4—1584no—
660C4—1584no—
661C4C2×#1457920814yes—
662C2—42no—
663C2—3168no—
664C2#2377790814yesdirect product factor
665C2C22×#1457920811yescharacteristic
666C2C2×#1909940012yes—
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#541×C79C2
socleC23×C79C25
prime radicalC2×#19099168C2
hypercenterC2×#541D79
hypocenterC79C2×#3557
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #23777908C2direct (N × H)
2. C2×#19099317C2semidirect
3. C2×#19099298C2semidirect
4. C2×#19099289C2semidirect
5. C2×#19099287C2semidirect
6. C2×#19099269C2semidirect
7. C2×#19099251C2semidirect
8. C2×#19099186C2semidirect
9. C2×#19099179C2semidirect
11. C2×#19099154C2semidirect
12. C2×#19099116C2semidirect
13. C2×#19099099C2semidirect
14. C2×#541×C79C2semidirect
15. #19099317C22semidirect
16. #19099298C22semidirect
17. #19099289C22semidirect
18. #19099287C22semidirect
19. #19099269C22semidirect
20. #19099251C22semidirect
21. #19099186C22semidirect
22. #19099179C22semidirect
24. #19099154C22semidirect
25. #19099116C22semidirect
30. #19099099C22semidirect
73. #541×C79C22semidirect
330. C2×C79#3557semidirect
343. C2×#541D79semidirect
348. C79C2×#3557semidirect
357. #541C2×D79semidirect
664. C2#23777908direct (N × H)

Maximal subgroups

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

subgroupindex
#237779082
C2×#190993172
C2×#190992982
C2×#190992892
C2×#190992872
C2×#190992692
C2×#190992512
C2×#190991862
C2×#190991792
C2×#190991682
C2×#190991542
C2×#190991162
C2×#190990992
C2×#541×C792
C2×#355779