Finite Group Databasebeta

← C2×#23768715 #34458702

Subgroups — C2×#23768715 #34458702

Order 20224.

2182 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768715C2116yesmaximal, direct product factor
2C2×#19098501C211yesmaximal, characteristic, complemented
3C2×#19098496C211yesmaximal, characteristic, complemented
4C2×#19098491C211yesmaximal, characteristic
5C2×#19098491C211yesmaximal, characteristic
6C2×#19098456C211yesmaximal, characteristic
7C2×#19098456C211yesmaximal, characteristic
8C2×#19098449C211yesmaximal, characteristic, complemented
9C2×#19098448C211yesmaximal, characteristic, complemented
10C2×#19098446C211yesmaximal, characteristic, complemented
11C2×#19098444C211yesmaximal, characteristic, complemented
12C2×#19098436C211yesmaximal, characteristic
13C2×#19098430C211yesmaximal, characteristic, complemented
14C2×#19098414C211yesmaximal, characteristic, complemented
15C2×C4×C22⋊Dic79C211yesmaximal, characteristic
16C2×#380×C79C211yesmaximal, characteristic
17C22×C4⋊Dic79C2211yescharacteristic
18C22×C4⋊Dic79C2211yescharacteristic
19C22×Dic79⋊C4C2211yescharacteristic
20C22×Dic79⋊C4C2211yescharacteristic
21C22×Dic79⋊C4C2211yescharacteristic
22C22×Dic79⋊C4C2211yescharacteristic
23C22×C22⋊Dic79C2211yescharacteristic
24C22×C22⋊Dic79C2211yescharacteristic
25C22×C22⋊Dic79C2211yescharacteristic
26C22×C22⋊Dic79C2211yescharacteristic
27C22×C4×Dic79C2211yescharacteristic
28C22×C4×Dic79C2211yescharacteristic
29C22×C4×Dic79C2211yescharacteristic
30C22×C4×Dic79C2211yescharacteristic
31#19098501C2218yescomplemented
32#19098496C2218yescomplemented
33#19098491C2218yes—
34#19098491C2218yes—
35#19098456C2218yes—
36#19098456C2218yes—
37#19098449C2218yescomplemented
38#19098448C2218yescomplemented
39#19098446C2218yescomplemented
40#19098444C2218yescomplemented
41#19098436C2218yes—
42#19098430C2218yescomplemented
43#19098414C2218yescomplemented
44C4×C22⋊Dic79C2218yes—
45C2×C79⋊#95C2211yescharacteristic
46C2×C79⋊#95C2211yescharacteristic
47C2×C79⋊#95C2211yescharacteristic
48C2×C79⋊#95C2211yescharacteristic
49C2×C79⋊#95C2211yescharacteristic
50C2×C79⋊#95C2211yescharacteristic
51C2×C79⋊#95C2211yescharacteristic
52C2×C79⋊#95C2211yescharacteristic
53C2×C79⋊#95C2211yescharacteristic
54C2×C79⋊#95C2211yescharacteristic
55C2×C79⋊#95C2211yescharacteristic
56C2×C79⋊#95C2211yescharacteristic
57C2×C79⋊#95C2211yescharacteristic
58C2×C79⋊#95C2211yescharacteristic
59C24×C4×C79C2211yescharacteristic
60C22×C4⋊C4×C79C2211yescharacteristic
61C22×C4⋊C4×C79C2211yescharacteristic
62C22×C22⋊C4×C79C2211yescharacteristic
63C22×C22⋊C4×C79C2211yescharacteristic
64#380×C79C2218yes—
65C2×#95×C79C2211yescharacteristic
66C2×#95×C79C2211yescharacteristic
67C23×Dic79C2311yescharacteristic
68C23×Dic79C2311yescharacteristic
69C23×Dic79C2311yescharacteristic
70C23×Dic79C2311yescharacteristic
71C23×Dic79C2311yescharacteristic
72C23×Dic79C2311yescharacteristic
73C23×Dic79C2311yescharacteristic
74C23×Dic79C2311yescharacteristic
75C2×C4⋊Dic79—24no—
76C2×C4⋊Dic79—24no—
77C2×C4⋊Dic79C2314yes—
78C2×C4⋊Dic79C2314yes—
79C2×Dic79⋊C4—24no—
80C2×Dic79⋊C4—24no—
81C2×Dic79⋊C4—24no—
82C2×Dic79⋊C4—42no—
83C2×Dic79⋊C4C2314yes—
84C2×Dic79⋊C4C2314yes—
85C2×Dic79⋊C4C2314yes—
86C2×Dic79⋊C4C2314yes—
87C2×C22⋊Dic79—24no—
88C2×C22⋊Dic79—24no—
89C2×C22⋊Dic79—24no—
90C2×C22⋊Dic79—42no—
91C2×C22⋊Dic79C2314yes—
92C2×C22⋊Dic79C2314yes—
93C2×C22⋊Dic79C2314yes—
94C2×C22⋊Dic79C2314yes—
95C2×C4×Dic79—24no—
96C2×C4×Dic79—24no—
97C2×C4×Dic79—42no—
98C2×C4×Dic79—42no—
99C2×C4×Dic79C2314yes—
100C2×C4×Dic79C2314yes—
101C2×C4×Dic79C2314yes—
102C2×C4×Dic79C2314yes—
103C79⋊#95C2314yes—
104C79⋊#95C2314yes—
105C79⋊#95C2314yes—
106C79⋊#95C2314yes—
107C79⋊#95C2314yes—
108C79⋊#95C2314yes—
109C79⋊#95C2314yes—
110C79⋊#95C2314yes—
111C79⋊#95C2314yes—
112C79⋊#95C2314yes—
113C79⋊#95C2314yes—
114C79⋊#95C2314yes—
115C79⋊#95C2314yes—
116C79⋊#95C2314yes—
117C25×C79C2311yescharacteristic
118C23×C4×C79—24no—
119C23×C4×C79—24no—
120C23×C4×C79—42no—
121C23×C4×C79C2311yescharacteristic
122C23×C4×C79C2311yescharacteristic
123C23×C4×C79C2311yescharacteristic
124C23×C4×C79C2311yescharacteristic
125C23×C4×C79C2314yes—
126C23×C4×C79C2311yescharacteristic
127C23×C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79—24no—
129C2×C4⋊C4×C79—42no—
130C2×C4⋊C4×C79C2314yes—
131C2×C4⋊C4×C79C2314yes—
132C2×C22⋊C4×C79—24no—
133C2×C22⋊C4×C79—24no—
134C2×C22⋊C4×C79C2314yes—
135C2×C22⋊C4×C79C2314yes—
136#95×C79C2314yes—
137#95×C79C2314yes—
138C22×Dic79—22no—
139C22×Dic79—22no—
140C22×Dic79—22no—
141C22×Dic79—22no—
142C22×Dic79—22no—
143C22×Dic79—22no—
144C22×Dic79—22no—
145C22×Dic79—22no—
146C22×Dic79—22no—
147C22×Dic79—22no—
148C22×Dic79—22no—
149C22×Dic79—22no—
150C22×Dic79—22no—
151C22×Dic79—22no—
152C22×Dic79—22no—
153C22×Dic79—22no—
154C22×Dic79—22no—
155C22×Dic79—22no—
156C22×Dic79—22no—
157C22×Dic79—22no—
158C22×Dic79—22no—
159C22×Dic79—22no—
160C22×Dic79#4114yes—
161C22×Dic79#4114yes—
162C22×Dic79C2412yes—
163C22×Dic79C2412yes—
164C22×Dic79C2412yes—
165C22×Dic79C2412yes—
166C22×Dic79C2412yes—
167C22×Dic79C2412yes—
168C22×Dic79C2412yes—
169C22×Dic79C2412yes—
170C4⋊Dic79—28no—
171C4⋊Dic79—28no—
172Dic79⋊C4—28no—
173Dic79⋊C4—28no—
174Dic79⋊C4—28no—
175Dic79⋊C4—44no—
176C22⋊Dic79—28no—
177C22⋊Dic79—28no—
178C22⋊Dic79—28no—
179C22⋊Dic79—44no—
180C4×Dic79—28no—
181C4×Dic79—28no—
182C4×Dic79—44no—
183C4×Dic79—44no—
184C24×C79—22no—
185C24×C79—22no—
186C24×C79—22no—
187C24×C79—22no—
188C24×C79—22no—
189C24×C79—22no—
190C24×C79#4114yes—
191C24×C79C2412yes—
192C24×C79C2411yescharacteristic
193C22×C4×C79—22no—
194C22×C4×C79—22no—
195C22×C4×C79—22no—
196C22×C4×C79—22no—
197C22×C4×C79—22no—
198C22×C4×C79—22no—
199C22×C4×C79—22no—
200C22×C4×C79—22no—
201C22×C4×C79—22no—
202C22×C4×C79—22no—
203C22×C4×C79—22no—
204C22×C4×C79—22no—
205C22×C4×C79—22no—
206C22×C4×C79—22no—
207C22×C4×C79—22no—
208C22×C4×C79—22no—
209C22×C4×C79—28no—
210C22×C4×C79—28no—
211C22×C4×C79—44no—
212C22×C4×C79—416no—
213C22×C4×C79#4114yes—
214C22×C4×C79#4114yes—
215C22×C4×C79C2412yes—
216C22×C4×C79C2412yes—
217C22×C4×C79C2412yes—
218C22×C4×C79C2412yes—
219C22×C4×C79C2412yes—
220C22×C4×C79C2412yes—
221C4⋊C4×C79—28no—
222C4⋊C4×C79—44no—
223C22⋊C4×C79—28no—
224C22⋊C4×C79—28no—
225C23×C79—28no—
226C23×C79—28no—
227C23×C79—28no—
228C23×C79—22no—
229C23×C79—22no—
230C23×C79—22no—
231C23×C79—22no—
232C23×C79—22no—
233C23×C79—22no—
234C23×C79—44no—
235C23×C79—44no—
236C23×C79—44no—
237C23×C79—44no—
238C23×C79C2×#4112yes—
239C23×C79C2×#4112yes—
240C23×C79C2×#4114yes—
241C23×C79C2×#4112yes—
242C23×C79C2×#4112yes—
243C23×C79C2×#4112yes—
244C23×C79H(5,𝔽2)12yes—
245C23×C792−1+412yes—
246C23×C79C2511yescharacteristic
247C2×C4×C79—28no—
248C2×C4×C79—28no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—22no—
257C2×C4×C79—22no—
258C2×C4×C79—22no—
259C2×C4×C79—22no—
260C2×C4×C79—22no—
261C2×C4×C79—22no—
262C2×C4×C79—22no—
263C2×C4×C79—22no—
264C2×C4×C79—22no—
265C2×C4×C79—416no—
266C2×C4×C79—44no—
267C2×C4×C79—44no—
268C2×C4×C79—44no—
269C2×C4×C79—44no—
270C2×C4×C79C2×#4114yes—
271C2×C4×C79C2×#4114yes—
272C2×Dic79—28no—
273C2×Dic79—28no—
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—22no—
293C2×Dic79—22no—
294C2×Dic79—22no—
295C2×Dic79—22no—
296C2×Dic79—44no—
297C2×Dic79—44no—
298C2×Dic79—44no—
299C2×Dic79—44no—
300C2×Dic79—44no—
301C2×Dic79—44no—
302C2×Dic79C2×#4114yes—
303C2×Dic79C2×#4114yes—
304C22×C79—24no—
305C22×C79—24no—
306C22×C79—24no—
307C22×C79—416no—
308C22×C79—42no—
309C22×C79—42no—
310C22×C79—42no—
311C22×C79—42no—
312C22×C79#52914yes—
313C22×C79#52914yes—
314C22×C79#53914yes—
315C22×C79#55114yes—
316C22×C79#55214yes—
317C22×C79#55314yes—
318C22×C79#55614yes—
319C22×C79C22×#4111yescharacteristic
320C22×C79C22×#4111yescharacteristic
321C22×C79C22×#4111yescharacteristic
322C22×C79C22×#4111yescharacteristic
323C22×C79C22×#4111yescharacteristic
324C22×C79C2×H(5,𝔽2)11yescharacteristic
325C22×C79C2×2−1+411yescharacteristic
326C4×C79—24no—
327C4×C79—24no—
328C4×C79—42no—
329C4×C79—42no—
330C4×C79—42no—
331C4×C79—42no—
332Dic79—24no—
333Dic79—24no—
334Dic79—42no—
335Dic79—42no—
336Dic79—42no—
337Dic79—42no—
338Dic79—42no—
339Dic79—42no—
340C2×#2577—791nomaximal, Sylow
341C2×C79—44no—
342C2×C79#257718yescomplemented
343C2×C79C2×#52911yescharacteristic
344C2×C79C2×#52911yescharacteristic
345C2×C79C2×#53911yescharacteristic
346C2×C79C2×#55111yescharacteristic
347C2×C79C2×#55211yescharacteristic
348C2×C79C2×#55311yescharacteristic
349C2×C79C2×#55611yescharacteristic
350#2577—7916no—
351C2×#400—791no—
352C2×#398—791no—
353C2×#397—791no—
354C2×#397—791no—
355C2×#388—791no—
356C2×#388—791no—
357C2×#387—791no—
358C2×#387—791no—
359C2×#387—791no—
360C2×#387—791no—
361C2×#385—791no—
362C2×#383—791no—
363C2×#380D7911yescharacteristic
364C2×C4×C4⋊C4—791no—
365C2×C4×C22⋊C4—791no—
366C79C2×#257711yescharacteristic, complemented, Sylow
367C24×C4C2×D7911yescharacteristic
368C22×C4⋊C4—791no—
369C22×C4⋊C4—791no—
370C22×C4⋊C4—791no—
371C22×C4⋊C4—791no—
372C22×C4⋊C4—791no—
373C22×C4⋊C4—791no—
374C22×C4⋊C4C2×D7911yescharacteristic
375C22×C4⋊C4C2×D7911yescharacteristic
376C22×C22⋊C4—791no—
377C22×C22⋊C4—791no—
378C22×C22⋊C4—791no—
379C22×C22⋊C4—791no—
380C22×C22⋊C4C2×D7911yescharacteristic
381C22×C22⋊C4C2×D7911yescharacteristic
382C22×C42—791no—
383C22×C42—791no—
384C22×C42—791no—
385C22×C42—791no—
386#400—798no—
387#398—798no—
388#397—798no—
389#397—798no—
390#388—798no—
391#388—798no—
392#387—798no—
393#387—798no—
394#387—798no—
395#387—798no—
396#385—798no—
397#383—798no—
398#380C2×D7918yes—
399C4×C4⋊C4—798no—
400C4×C22⋊C4—798no—
401C2×#95—791no—
402C2×#95—791no—
403C2×#95—791no—
404C2×#95—791no—
405C2×#95—791no—
406C2×#95—791no—
407C2×#95—791no—
408C2×#95—791no—
409C2×#95—791no—
410C2×#95—791no—
411C2×#95—791no—
412C2×#95—791no—
413C2×#95—791no—
414C2×#95—791no—
415C2×#95C2×D7911yescharacteristic
416C2×#95C2×D7911yescharacteristic
417C25C22×D7911yescharacteristic
418C23×C4—24no—
419C23×C4—24no—
420C23×C4—42no—
421C23×C4—791no—
422C23×C4—791no—
423C23×C4—791no—
424C23×C4—791no—
425C23×C4—791no—
426C23×C4—791no—
427C23×C4—791no—
428C23×C4—791no—
429C23×C4C22×D7911yescharacteristic
430C23×C4C22×D7911yescharacteristic
431C23×C4C22×D7911yescharacteristic
432C23×C4C22×D7911yescharacteristic
433C23×C4C22×D7914yes—
434C23×C4C22×D7911yescharacteristic
435C23×C4C22×D7911yescharacteristic
436C2×C4⋊C4—24no—
437C2×C4⋊C4—42no—
438C2×C4⋊C4—3162no—
439C2×C4⋊C4—794no—
440C2×C4⋊C4—794no—
441C2×C4⋊C4—794no—
442C2×C4⋊C4—794no—
443C2×C4⋊C4—794no—
444C2×C4⋊C4—794no—
445C2×C4⋊C4—1584no—
446C2×C4⋊C4—1584no—
447C2×C4⋊C4—1584no—
448C2×C4⋊C4—1584no—
449C2×C4⋊C4—1584no—
450C2×C4⋊C4C22×D7914yes—
451C2×C4⋊C4C22×D7914yes—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—3162no—
455C2×C22⋊C4—794no—
456C2×C22⋊C4—794no—
457C2×C22⋊C4—794no—
458C2×C22⋊C4—794no—
459C2×C22⋊C4—1584no—
460C2×C22⋊C4—1584no—
461C2×C22⋊C4—1584no—
462C2×C22⋊C4C22×D7914yes—
463C2×C22⋊C4C22×D7914yes—
464C2×C42—3162no—
465C2×C42—3162no—
466C2×C42—794no—
467C2×C42—794no—
468C2×C42—794no—
469C2×C42—794no—
470C2×C42—1584no—
471C2×C42—1584no—
472#95—794no—
473#95—794no—
474#95—794no—
475#95—794no—
476#95—794no—
477#95—794no—
478#95—794no—
479#95—794no—
480#95—794no—
481#95—794no—
482#95—794no—
483#95—794no—
484#95—794no—
485#95—794no—
486#95C22×D7914yes—
487#95C22×D7914yes—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24#1192962314yes—
495C24C23×D7912yes—
496C24C23×D7911yescharacteristic
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—28no—
514C22×C4—28no—
515C22×C4—44no—
516C22×C4—416no—
517C22×C4—794no—
518C22×C4—794no—
519C22×C4—792no—
520C22×C4—792no—
521C22×C4—792no—
522C22×C4—792no—
523C22×C4—792no—
524C22×C4—792no—
525C22×C4—792no—
526C22×C4—792no—
527C22×C4—1582no—
528C22×C4—1582no—
529C22×C4—1582no—
530C22×C4—1582no—
531C22×C4—1582no—
532C22×C4—1582no—
533C22×C4—1582no—
534C22×C4—1582no—
535C22×C4—1582no—
536C22×C4—1582no—
537C22×C4—1582no—
538C22×C4—1582no—
539C22×C4—1582no—
540C22×C4—1582no—
541C22×C4—1582no—
542C22×C4—1582no—
543C22×C4—1582no—
544C22×C4—1582no—
545C22×C4—1582no—
546C22×C4—1582no—
547C22×C4—1582no—
548C22×C4—1582no—
549C22×C4#1192962314yes—
550C22×C4#1192962414yes—
551C22×C4C23×D7912yes—
552C22×C4C23×D7912yes—
553C22×C4C23×D7912yes—
554C22×C4C23×D7912yes—
555C22×C4C23×D7912yes—
556C22×C4C23×D7912yes—
557C4⋊C4—28no—
558C4⋊C4—44no—
559C4⋊C4—3164no—
560C4⋊C4—1588no—
561C4⋊C4—1588no—
562C4⋊C4—1588no—
563C4⋊C4—1588no—
564C4⋊C4—1588no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—3164no—
568C22⋊C4—1588no—
569C22⋊C4—1588no—
570C22⋊C4—1588no—
571C42—3164no—
572C42—3164no—
573C42—1588no—
574C42—1588no—
575C23—22no—
576C23—22no—
577C23—28no—
578C23—28no—
579C23—28no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23#41×D7912yes—
589C23#41×D7912yes—
590C23C2×#1192962314yes—
591C23C2×#1192962312yes—
592C23C2×#1192962312yes—
593C23C2×#1192962412yes—
594C23#1457920612yes—
595C23#1457920912yes—
596C23C24×D7911yescharacteristic
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—28no—
600C2×C4—28no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—416no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—3164no—
621C2×C4—3164no—
622C2×C4—3164no—
623C2×C4—3164no—
624C2×C4—3164no—
625C2×C4—3164no—
626C2×C4—794no—
627C2×C4—794no—
628C2×C4—1582no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4—1582no—
632C2×C4—1582no—
633C2×C4—1582no—
634C2×C4—1582no—
635C2×C4—1582no—
636C2×C4—1582no—
637C2×C4—1582no—
638C2×C4—1582no—
639C2×C4—1582no—
640C2×C4—1582no—
641C2×C4—1582no—
642C2×C4—1582no—
643C2×C4—1582no—
644C2×C4—1582no—
645C2×C4—1582no—
646C2×C4—1582no—
647C2×C4—1582no—
648C2×C4—1588no—
649C2×C4—1588no—
650C2×C4—1582no—
651C2×C4—1582no—
652C2×C4C2×#1192962314yes—
653C2×C4C2×#1192962414yes—
654C22—24no—
655C22—24no—
656C22—24no—
657C22—42no—
658C22—416no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22#1909909114yes—
663C22#1909909414yes—
664C22#1909915914yes—
665C22#1909923914yes—
666C22#1909924814yes—
667C22#1909925614yes—
668C22#1909928414yes—
669C22C2×#41×D7911yescharacteristic
670C22C2×#41×D7911yescharacteristic
671C22C22×#1192962311yescharacteristic
672C22C22×#1192962311yescharacteristic
673C22C22×#1192962411yescharacteristic
674C22C2×#1457920611yescharacteristic
675C22C2×#1457920911yescharacteristic
676C4—24no—
677C4—24no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—3162no—
683C4—3162no—
684C4—3162no—
685C4—3162no—
686C4—3162no—
687C4—3162no—
688C4—1584no—
689C4—1584no—
690C2—44no—
691C2#2376871518yesdirect product factor
692C2C2×#1909909111yescharacteristic
693C2C2×#1909909411yescharacteristic
694C2C2×#1909915911yescharacteristic
695C2C2×#1909923911yescharacteristic
696C2C2×#1909924811yescharacteristic
697C2C2×#1909925611yescharacteristic
698C2C2×#1909928411yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#380×C79C2
socleC24×C79C24
prime radicalC25×C79C23
hypercenterC2×#380D79
hypocenterC79C2×#2577
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. #23768715C2direct (N × H)
2. C2×#19098501C2semidirect
3. C2×#19098496C2semidirect
8. C2×#19098449C2semidirect
9. C2×#19098448C2semidirect
10. C2×#19098446C2semidirect
11. C2×#19098444C2semidirect
13. C2×#19098430C2semidirect
14. C2×#19098414C2semidirect
31. #19098501C22semidirect
32. #19098496C22semidirect
37. #19098449C22semidirect
38. #19098448C22semidirect
39. #19098446C22semidirect
40. #19098444C22semidirect
42. #19098430C22semidirect
43. #19098414C22semidirect
342. C2×C79#2577semidirect
366. C79C2×#2577semidirect
691. C2#23768715direct (N × H)

Maximal subgroups

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

subgroupindex
#237687152
C2×#190985012
C2×#190984962
C2×#190984912
C2×#190984562
C2×#190984492
C2×#190984482
C2×#190984462
C2×#190984442
C2×#190984362
C2×#190984302
C2×#190984142
C2×C4×C22⋊Dic792
C2×#380×C792
C2×#257779