Finite Group Databasebeta

← C2×#23766853 #34456226

Subgroups — C2×#23766853 #34456226

Order 20224.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14579141C211yesmaximal, characteristic, complemented
2C22×#14579140C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D79C211yesmaximal, characteristic
4C22×C4⋊C4×D79C211yesmaximal, characteristic, complemented
5#23766853C2116yesmaximal, direct product factor
6C2×#19098497C212yesmaximal, complemented
7C2×#19098486C212yesmaximal, complemented
8C2×#19098468C211yesmaximal, characteristic, complemented
9C2×#19098459C211yesmaximal, characteristic, complemented
10C2×#19098439C212yesmaximal
11C2×#19098422C212yesmaximal, complemented
12C2×#380×C79C211yesmaximal, characteristic, complemented
13C23×Dic158C2211yescharacteristic
14C23×C22⋊D79C2211yescharacteristic
15C23×C4×D79C2212yes—
16C23×C4×D79C2211yescharacteristic
17C2×#14579141—28no—
18C2×#14579141C2218yescomplemented
19C2×#14579140—28no—
20C2×#14579140C2218yescomplemented
21C2×C4×C22⋊D79—28no—
22C2×C4×C22⋊D79C2218yes—
23C22×C4⋊Dic79C2212yes—
24C22×C4⋊Dic79C2211yescharacteristic
25C22×Dic79⋊C4C2212yes—
26C22×Dic79⋊C4C2212yes—
27C22×Dic79⋊C4C2211yescharacteristic
28C22×Dic79⋊C4C2212yes—
29C2×C4⋊C4×D79—28no—
30C2×C4⋊C4×D79C2218yescomplemented
31C22×C22⋊Dic79C2212yes—
32C22×C22⋊Dic79C2211yescharacteristic
33C22×(C2×D79)⋊C4C2211yescharacteristic
34C22×(C2×D79)⋊C4C2212yes—
35C22×C4×Dic79C2211yescharacteristic
36#19098497C22116yescomplemented
37#19098486C22116yescomplemented
38#19098468C2218yescomplemented
39#19098459C2218yescomplemented
40#19098439C22116yes—
41#19098422C22116yescomplemented
42C2×C79⋊#95C2212yes—
43C2×C79⋊#95C2212yes—
44C2×C79⋊#95C2212yes—
45C24×C4×C79C2211yescharacteristic
46C22×C4⋊C4×C79C2211yescharacteristic
47C22×C4⋊C4×C79C2211yescharacteristic
48C22×C22⋊C4×C79C2212yes—
49#380×C79C2218yescomplemented
50C2×#95×C79C2212yes—
51C24×D79C2311yescharacteristic
52C22×Dic158—24no—
53C22×Dic158—24no—
54C22×Dic158—24no—
55C22×Dic158C2314yes—
56C22×C22⋊D79—24no—
57C22×C22⋊D79—24no—
58C22×C22⋊D79Q818yescomplemented
59C22×C22⋊D79C2314yes—
60C23×Dic79C2311yescharacteristic
61C23×Dic79C2312yes—
62C23×Dic79C2312yes—
63C23×Dic79C2311yescharacteristic
64C23×Dic79C2311yescharacteristic
65C22×C4×D79—24no—
66C22×C4×D79—24no—
67C22×C4×D79—28no—
68C22×C4×D79—28no—
69C22×C4×D79—44no—
70C22×C4×D79D418yes—
71C22×C4×D79C2318yes—
72C22×C4×D79C2314yes—
73#14579141—232no—
74#14579140—232no—
75C4×C22⋊D79—232no—
76C2×C4⋊Dic79—28no—
77C2×C4⋊Dic79D418yescomplemented
78C2×C4⋊Dic79C2318yes—
79C2×C4⋊Dic79C2314yes—
80C2×Dic79⋊C4—28no—
81C2×Dic79⋊C4—24no—
82C2×Dic79⋊C4—28no—
83C2×Dic79⋊C4—44no—
84C2×Dic79⋊C4C2318yes—
85C2×Dic79⋊C4C2318yes—
86C2×Dic79⋊C4C2314yes—
87C2×Dic79⋊C4C2318yes—
88C4⋊C4×D79—232no—
89C2×C22⋊Dic79—24no—
90C2×C22⋊Dic79—28no—
91C2×C22⋊Dic79C2318yes—
92C2×C22⋊Dic79C2314yes—
93C2×(C2×D79)⋊C4—24no—
94C2×(C2×D79)⋊C4—28no—
95C2×(C2×D79)⋊C4C2314yes—
96C2×(C2×D79)⋊C4C2318yes—
97C2×C4×Dic79—24no—
98C2×C4×Dic79C2314yes—
99C79⋊#95C2318yes—
100C79⋊#95C2318yes—
101C79⋊#95C2318yes—
102C25×C79C2311yescharacteristic
103C23×C4×C79—24no—
104C23×C4×C79—24no—
105C23×C4×C79—24no—
106C23×C4×C79C2312yes—
107C23×C4×C79C2312yes—
108C23×C4×C79C2311yescharacteristic
109C23×C4×C79C2314yes—
110C23×C4×C79C2311yescharacteristic
111C2×C4⋊C4×C79—24no—
112C2×C4⋊C4×C79—24no—
113C2×C4⋊C4×C79C2314yes—
114C2×C4⋊C4×C79C2314yes—
115C2×C22⋊C4×C79—44no—
116C2×C22⋊C4×C79C2318yes—
117#95×C79C2318yes—
118C23×D79—22no—
119C23×D79—22no—
120C23×D79—22no—
121C23×D79—22no—
122C23×D79C2×D414yes—
123C23×D79C2×Q814yes—
124C23×D79#4114yes—
125C23×D79C2412yes—
126C2×Dic158—28no—
127C2×Dic158—28no—
128C2×Dic158—28no—
129C2×Dic158—416no—
130C2×C22⋊D79—232no—
131C2×C22⋊D79—28no—
132C2×C22⋊D79—28no—
133C2×C22⋊D79C2×Q8116yescomplemented
134C22×Dic79—22no—
135C22×Dic79—22no—
136C22×Dic79—24no—
137C22×Dic79—24no—
138C22×Dic79—22no—
139C22×Dic79—24no—
140C22×Dic79—22no—
141C22×Dic79—22no—
142C22×Dic79—24no—
143C22×Dic79—24no—
144C22×Dic79—22no—
145C22×Dic79—22no—
146C22×Dic79C2×D418yes—
147C22×Dic79C2×D414yes—
148C22×Dic79C2×Q814yes—
149C22×Dic79C2414yes—
150C22×Dic79C2412yes—
151C22×Dic79C2414yes—
152C22×Dic79C2412yes—
153C22×Dic79C2412yes—
154C2×C4×D79—216no—
155C2×C4×D79—216no—
156C2×C4×D79—232no—
157C2×C4×D79—28no—
158C2×C4×D79—28no—
159C2×C4×D79—48no—
160C2×C4×D79—432no—
161C2×C4×D79C2×D4116yes—
162C4⋊Dic79—216no—
163C4⋊Dic79C2×D4116yescomplemented
164Dic79⋊C4—216no—
165Dic79⋊C4—28no—
166Dic79⋊C4—216no—
167Dic79⋊C4—48no—
168C22⋊Dic79—28no—
169C22⋊Dic79—216no—
170(C2×D79)⋊C4—28no—
171(C2×D79)⋊C4—216no—
172C4×Dic79—28no—
173C24×C79—22no—
174C24×C79—22no—
175C24×C79—22no—
176C24×C79—22no—
177C24×C79—22no—
178C24×C79—22no—
179C24×C79C2×Q814yes—
180C24×C79C2412yes—
181C24×C79C2411yescharacteristic
182C22×C4×C79—24no—
183C22×C4×C79—24no—
184C22×C4×C79—22no—
185C22×C4×C79—22no—
186C22×C4×C79—22no—
187C22×C4×C79—24no—
188C22×C4×C79—24no—
189C22×C4×C79—24no—
190C22×C4×C79—24no—
191C22×C4×C79—28no—
192C22×C4×C79—28no—
193C22×C4×C79—28no—
194C22×C4×C79—416no—
195C22×C4×C79C2×D414yes—
196C22×C4×C79C2×D414yes—
197C22×C4×C79#4114yes—
198C22×C4×C79C2412yes—
199C22×C4×C79C2414yes—
200C22×C4×C79C2414yes—
201C22×C4×C79C2412yes—
202C4⋊C4×C79—28no—
203C4⋊C4×C79—28no—
204C22⋊C4×C79—48no—
205C23×C79—28no—
206C23×C79—28no—
207C23×C79—28no—
208C23×C79—22no—
209C23×C79—22no—
210C23×C79—22no—
211C23×C79—22no—
212C23×C79—22no—
213C23×C79—22no—
214C23×C79—44no—
215C23×C79—44no—
216C23×C79—44no—
217C23×C79—44no—
218C23×C79C22×D412yes—
219C23×C79C22×D412yes—
220C23×C79C22×Q814yes—
221C23×C79C22×Q812yes—
222C23×C79C2×#4112yes—
223C23×C79C2×#4112yes—
224C23×C79H(5,𝔽2)12yes—
225C23×C792−1+412yes—
226C23×C79C2511yescharacteristic
227C22×D79—28no—
228C22×D79—28no—
229C22×D79—28no—
230C22×D79—28no—
231C22×D79—28no—
232C22×D79—28no—
233C22×D79—22no—
234C22×D79—22no—
235C22×D79—22no—
236C22×D79—22no—
237C22×D79C22⋊Q8116yescomplemented
238C22×D79C22×D414yes—
239C22×D79C22×Q814yes—
240C22×D79C2×#4114yes—
241C2×C4×C79—22no—
242C2×C4×C79—24no—
243C2×C4×C79—22no—
244C2×C4×C79—24no—
245C2×C4×C79—24no—
246C2×C4×C79—22no—
247C2×C4×C79—24no—
248C2×C4×C79—24no—
249C2×C4×C79—24no—
250C2×C4×C79—44no—
251C2×C4×C79—48no—
252C2×C4×C79—48no—
253C2×C4×C79—416no—
254C2×C4×C79#121116yes—
255C2×C4×C79C22×D414yes—
256C2×C4×C79C22×D414yes—
257C2×C4×C79C2×#4114yes—
258C22⋊D79—232no—
259C2×Dic79—28no—
260C2×Dic79—28no—
261C2×Dic79—216no—
262C2×Dic79—22no—
263C2×Dic79—22no—
264C2×Dic79—24no—
265C2×Dic79—22no—
266C2×Dic79—22no—
267C2×Dic79—24no—
268C2×Dic79—22no—
269C2×Dic79—24no—
270C2×Dic79—24no—
271C2×Dic79—24no—
272C2×Dic79—22no—
273C2×Dic79—22no—
274C2×Dic79—48no—
275C2×Dic79—44no—
276C2×Dic79C22×D418yes—
277C2×Dic79C22×D414yes—
278C2×Dic79C22×Q814yes—
279C4×D79—232no—
280C4×D79—432no—
281Dic158—416no—
282C22×C79—24no—
283C22×C79—24no—
284C22×C79—24no—
285C22×C79—42no—
286C22×C79—416no—
287C22×C79—42no—
288C22×C79—42no—
289C22×C79—42no—
290C22×C79C2×#12114yes—
291C22×C79C2×C22⋊Q814yes—
292C22×C79#53714yes—
293C22×C79#54614yes—
294C22×C79D4×Q814yes—
295C22×C79#55214yes—
296C22×C79#55414yes—
297C22×C79C23×D411yescharacteristic
298C22×C79C23×D411yescharacteristic
299C22×C79C23×Q811yescharacteristic
300C22×C79C22×#4111yescharacteristic
301C22×C79C22×#4111yescharacteristic
302C22×C79C2×H(5,𝔽2)11yescharacteristic
303C22×C79C2×2−1+411yescharacteristic
304C2×D79—24no—
305C2×D79—232no—
306C2×D79—24no—
307C2×D79—24no—
308C2×D79—24no—
309C2×D79—24no—
310C2×D79—24no—
311C2×D79C2×C22⋊Q818yescomplemented
312C4×C79—42no—
313C4×C79—44no—
314C4×C79—44no—
315C4×C79C2×#12118yes—
316Dic79—24no—
317Dic79—24no—
318Dic79—28no—
319Dic79—44no—
320Dic79—42no—
321C2×#2417—791nomaximal, Sylow
322C2×C79—44no—
323C2×C79#241718yescomplemented
324C2×C79C22×#12111yescharacteristic
325C2×C79C22×C22⋊Q811yescharacteristic
326C2×C79C2×#53711yescharacteristic
327C2×C79C2×#54611yescharacteristic
328C2×C79C2×D4×Q811yescharacteristic
329C2×C79C2×#55211yescharacteristic
330C2×C79C2×#55411yescharacteristic
331D79—28no—
332C22×C22⋊Q8—791no—
333C22×C22⋊Q8—791no—
334C22×C4×D4—791no—
335C23×C4⋊C4—791no—
336#2417—7916no—
337C2×#398—792no—
338C2×#396—792no—
339C2×#391—791no—
340C2×#389—791no—
341C2×#386—792no—
342C2×#380—792no—
343C2×#380D7911yescharacteristic, complemented
344C79C2×#241711yescharacteristic, complemented, Sylow
345C23×Q8—791no—
346C23×D4—791no—
347C24×C4—792no—
348C24×C4—791no—
349C24×C4C2×D7911yescharacteristic
350C2×C22⋊Q8—798no—
351C2×C22⋊Q8—798no—
352C2×C22⋊Q8—1588no—
353C2×C22⋊Q8—1588no—
354C2×C4×D4—798no—
355C2×C4×D4—1588no—
356C22×C4⋊C4—792no—
357C22×C4⋊C4—791no—
358C22×C4⋊C4—792no—
359C22×C4⋊C4—792no—
360C22×C4⋊C4—791no—
361C22×C4⋊C4—792no—
362C22×C4⋊C4—798no—
363C22×C4⋊C4—1588no—
364C22×C4⋊C4C2×D7911yescharacteristic
365C22×C4⋊C4C2×D7911yescharacteristic
366C22×C22⋊C4—791no—
367C22×C22⋊C4—792no—
368C22×C22⋊C4—791no—
369C22×C22⋊C4—792no—
370C22×C22⋊C4C2×D7912yes—
371C22×C42—791no—
372#398—7916no—
373#396—7916no—
374#391—798no—
375#389—798no—
376#386—7916no—
377#380—7916no—
378#380C2×D7918yescomplemented
379C2×#95—792no—
380C2×#95—792no—
381C2×#95—792no—
382C2×#95C2×D7912yes—
383C25—791no—
384C25C22×D7911yescharacteristic
385C22×Q8—794no—
386C22×Q8—1584no—
387C22×Q8—1584no—
388C22×Q8—1584no—
389C22×D4—798no—
390C22×D4—794no—
391C22×D4—1584no—
392C22×D4—1584no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—3164no—
397C23×C4—798no—
398C23×C4—791no—
399C23×C4—792no—
400C23×C4—791no—
401C23×C4—798no—
402C23×C4—794no—
403C23×C4—792no—
404C23×C4—791no—
405C23×C4—1588no—
406C23×C4—1588no—
407C23×C4—1584no—
408C23×C4—1584no—
409C23×C4C22×D7914yes—
410C23×C4C22×D7912yes—
411C23×C4C22×D7911yescharacteristic
412C23×C4C22×D7912yes—
413C23×C4C22×D7911yescharacteristic
414C22⋊Q8—15832no—
415C22⋊Q8—15832no—
416C4×D4—15832no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—3164no—
420C2×C4⋊C4—798no—
421C2×C4⋊C4—798no—
422C2×C4⋊C4—794no—
423C2×C4⋊C4—798no—
424C2×C4⋊C4—794no—
425C2×C4⋊C4—798no—
426C2×C4⋊C4—798no—
427C2×C4⋊C4—15832no—
428C2×C4⋊C4—1588no—
429C2×C4⋊C4—1584no—
430C2×C4⋊C4—1588no—
431C2×C4⋊C4—1588no—
432C2×C4⋊C4C22×D7914yes—
433C2×C4⋊C4C22×D7914yes—
434C2×C22⋊C4—44no—
435C2×C22⋊C4—794no—
436C2×C22⋊C4—798no—
437C2×C22⋊C4—794no—
438C2×C22⋊C4—798no—
439C2×C22⋊C4—1584no—
440C2×C22⋊C4—1588no—
441C2×C22⋊C4—1584no—
442C2×C22⋊C4—1588no—
443C2×C22⋊C4C22×D7918yes—
444C2×C42—794no—
445C2×C42—1584no—
446#95—798no—
447#95—798no—
448#95—798no—
449#95C22×D7918yes—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—794no—
457C24—794no—
458C24—792no—
459C24—794no—
460C24—1582no—
461C24—1582no—
462C24—1582no—
463C24—1582no—
464C24Q8×D7914yes—
465C24C23×D7912yes—
466C24C23×D7911yescharacteristic
467C2×Q8—31616no—
468C2×Q8—1588no—
469C2×Q8—1588no—
470C2×Q8—1588no—
471C2×D4—7916no—
472C2×D4—1588no—
473C2×D4—15832no—
474C2×D4—1588no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—28no—
487C22×C4—416no—
488C22×C4—3168no—
489C22×C4—31632no—
490C22×C4—794no—
491C22×C4—792no—
492C22×C4—794no—
493C22×C4—792no—
494C22×C4—798no—
495C22×C4—794no—
496C22×C4—7916no—
497C22×C4—792no—
498C22×C4—794no—
499C22×C4—15816no—
500C22×C4—15816no—
501C22×C4—1584no—
502C22×C4—1582no—
503C22×C4—1582no—
504C22×C4—1582no—
505C22×C4—1584no—
506C22×C4—1584no—
507C22×C4—1584no—
508C22×C4—1582no—
509C22×C4—1582no—
510C22×C4—1584no—
511C22×C4—1582no—
512C22×C4—1582no—
513C22×C4—1588no—
514C22×C4—15832no—
515C22×C4—1588no—
516C22×C4D4×D7914yes—
517C22×C4D4×D7914yes—
518C22×C4#1192962414yes—
519C22×C4C23×D7914yes—
520C22×C4C23×D7914yes—
521C22×C4C23×D7912yes—
522C22×C4C23×D7912yes—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—3168no—
526C4⋊C4—7916no—
527C4⋊C4—15816no—
528C4⋊C4—1588no—
529C4⋊C4—15816no—
530C4⋊C4—15816no—
531C22⋊C4—48no—
532C22⋊C4—1588no—
533C22⋊C4—15816no—
534C22⋊C4—1588no—
535C22⋊C4—15816no—
536C42—1588no—
537C23—22no—
538C23—22no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23—44no—
550C23—7916no—
551C23—794no—
552C23—794no—
553C23—794no—
554C23—1582no—
555C23—1582no—
556C23—1588no—
557C23—1588no—
558C23—1588no—
559C23—1588no—
560C23—1588no—
561C23—1588no—
562C23—1582no—
563C23—1582no—
564C23C2×D4×D7912yes—
565C23C2×D4×D7912yes—
566C23C2×Q8×D7914yes—
567C23C2×Q8×D7912yes—
568C23#41×D7912yes—
569C23C2×#1192962412yes—
570C23#1457920612yes—
571C23#1457920812yes—
572C23C24×D7911yescharacteristic
573Q8—31616no—
574D4—15832no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—48no—
585C2×C4—48no—
586C2×C4—44no—
587C2×C4—416no—
588C2×C4—31632no—
589C2×C4—3164no—
590C2×C4—3168no—
591C2×C4—798no—
592C2×C4—794no—
593C2×C4—794no—
594C2×C4—1582no—
595C2×C4—1582no—
596C2×C4—1582no—
597C2×C4—1584no—
598C2×C4—1584no—
599C2×C4—1584no—
600C2×C4—1584no—
601C2×C4—15816no—
602C2×C4—1588no—
603C2×C4—1588no—
604C2×C4—1582no—
605C2×C4—1582no—
606C2×C4—1584no—
607C2×C4—1582no—
608C2×C4—1582no—
609C2×C4—15832no—
610C2×C4#14579134116yes—
611C2×C4C2×D4×D7914yes—
612C2×C4C2×D4×D7914yes—
613C2×C4C2×#1192962414yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—416no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—798no—
623C22—15832no—
624C22—1584no—
625C22—1584no—
626C22—1584no—
627C22—1584no—
628C22—1584no—
629C22—1584no—
630C22C2×#1457913414yes—
631C22C22⋊Q8×D7914yes—
632C22#1909914214yes—
633C22#1909921014yes—
634C22#1909922614yes—
635C22#1909925214yes—
636C22#1909926814yes—
637C22C22×D4×D7911yescharacteristic
638C22C22×D4×D7911yescharacteristic
639C22C22×Q8×D7911yescharacteristic
640C22C2×#41×D7911yescharacteristic
641C22C22×#1192962411yescharacteristic
642C22C2×#1457920611yescharacteristic
643C22C2×#1457920811yescharacteristic
644C4—44no—
645C4—42no—
646C4—44no—
647C4—3164no—
648C4—3162no—
649C4—1588no—
650C4—1584no—
651C4—1584no—
652C4C2×#1457913418yes—
653C2—44no—
654C2—1588no—
655C2#2376685318yesdirect product factor
656C2C22×#1457913411yescharacteristic
657C2C2×C22⋊Q8×D7911yescharacteristic
658C2C2×#1909914211yescharacteristic
659C2C2×#1909921011yescharacteristic
660C2C2×#1909922611yescharacteristic
661C2C2×#1909925211yescharacteristic
662C2C2×#1909926811yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#380×C79C2
socleC24×C79C24
prime radicalC23×C22⋊D79C22
hypercenterC2×#380D79
hypocenterC79C2×#2417
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. C22×#14579141C2semidirect
2. C22×#14579140C2semidirect
4. C22×C4⋊C4×D79C2semidirect
5. #23766853C2direct (N × H)
6. C2×#19098497C2semidirect
7. C2×#19098486C2semidirect
8. C2×#19098468C2semidirect
9. C2×#19098459C2semidirect
11. C2×#19098422C2semidirect
12. C2×#380×C79C2semidirect
18. C2×#14579141C22semidirect
20. C2×#14579140C22semidirect
30. C2×C4⋊C4×D79C22semidirect
36. #19098497C22semidirect
37. #19098486C22semidirect
38. #19098468C22semidirect
39. #19098459C22semidirect
41. #19098422C22semidirect
49. #380×C79C22semidirect
58. C22×C22⋊D79Q8semidirect
77. C2×C4⋊Dic79D4semidirect
133. C2×C22⋊D79C2×Q8semidirect
163. C4⋊Dic79C2×D4semidirect
237. C22×D79C22⋊Q8semidirect
311. C2×D79C2×C22⋊Q8semidirect
323. C2×C79#2417semidirect
343. C2×#380D79semidirect
344. C79C2×#2417semidirect
378. #380C2×D79semidirect
655. C2#23766853direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145791412
C22×#145791402
C22×C4×C22⋊D792
C22×C4⋊C4×D792
#237668532
C2×#190984972
C2×#190984862
C2×#190984682
C2×#190984592
C2×#190984392
C2×#190984222
C2×#380×C792
C2×#241779