Finite Group Databasebeta

← C2×#23768910 #34458804

Subgroups — C2×#23768910 #34458804

Order 20224.

2074 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768910C2116yesmaximal, direct product factor
2C2×C79⋊#401C211yesmaximal, characteristic, complemented
3C2×#19098495C211yesmaximal, characteristic, complemented
4C2×#19098488C211yesmaximal, characteristic
5C2×#19098486C211yesmaximal, characteristic
6C2×#19098458C211yesmaximal, characteristic, complemented
7C2×#19098457C211yesmaximal, characteristic
8C2×#19098457C211yesmaximal, characteristic
9C2×#19098456C211yesmaximal, characteristic
10C2×#19098456C211yesmaximal, characteristic
11C2×#19098450C211yesmaximal, characteristic, complemented
12C2×#19098448C211yesmaximal, characteristic, complemented
13C2×#19098447C211yesmaximal, characteristic, complemented
14C2×C4⋊C4×Dic79C211yesmaximal, characteristic, complemented
15C2×C4×C4⋊Dic79C211yesmaximal, characteristic, complemented
16C2×#388×C79C211yesmaximal, characteristic
17C22×C4⋊Dic79C2211yescharacteristic
18C22×C4⋊Dic79C2211yescharacteristic
19C22×C4⋊Dic79C2211yescharacteristic
20C22×C4⋊Dic79C2211yescharacteristic
21C22×Dic79⋊C4C2211yescharacteristic
22C22×Dic79⋊C4C2211yescharacteristic
23C22×Dic79⋊C4C2211yescharacteristic
24C22×Dic79⋊C4C2211yescharacteristic
25C22×C22⋊Dic79C2211yescharacteristic
26C22×C22⋊Dic79C2211yescharacteristic
27C22×C22⋊Dic79C2211yescharacteristic
28C22×C22⋊Dic79C2211yescharacteristic
29C22×C4×Dic79C2211yescharacteristic
30C22×C4×Dic79C2211yescharacteristic
31C22×C4×Dic79C2211yescharacteristic
32C22×C4×Dic79C2211yescharacteristic
33C79⋊#401C2218yescomplemented
34#19098495C2218yescomplemented
35#19098488C2218yes—
36#19098486C2218yes—
37#19098458C2218yescomplemented
38#19098457C2218yes—
39#19098457C2218yes—
40#19098456C2218yes—
41#19098456C2218yes—
42#19098450C2218yescomplemented
43#19098448C2218yescomplemented
44#19098447C2218yescomplemented
45C4⋊C4×Dic79C2218yescomplemented
46C4×C4⋊Dic79C2218yescomplemented
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
59C22×C4⋊C4×C79C2211yescharacteristic
60C22×C22⋊C4×C79C2211yescharacteristic
61C22×C22⋊C4×C79C2211yescharacteristic
62C22×C22⋊C4×C79C2211yescharacteristic
63C22×C42×C79C2211yescharacteristic
64#388×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⋊Dic79—24no—
78C2×C4⋊Dic79—24no—
79C2×C4⋊Dic79C2314yes—
80C2×C4⋊Dic79C2314yes—
81C2×C4⋊Dic79C2314yes—
82C2×C4⋊Dic79C2314yes—
83C2×Dic79⋊C4—24no—
84C2×Dic79⋊C4—24no—
85C2×Dic79⋊C4—24no—
86C2×Dic79⋊C4—42no—
87C2×Dic79⋊C4C2314yes—
88C2×Dic79⋊C4C2314yes—
89C2×Dic79⋊C4C2314yes—
90C2×Dic79⋊C4C2314yes—
91C2×C22⋊Dic79—24no—
92C2×C22⋊Dic79—24no—
93C2×C22⋊Dic79—42no—
94C2×C22⋊Dic79—42no—
95C2×C22⋊Dic79C2314yes—
96C2×C22⋊Dic79C2314yes—
97C2×C22⋊Dic79C2314yes—
98C2×C22⋊Dic79C2314yes—
99C2×C4×Dic79—24no—
100C2×C4×Dic79—42no—
101C2×C4×Dic79—42no—
102C2×C4×Dic79—42no—
103C2×C4×Dic79C2314yes—
104C2×C4×Dic79C2314yes—
105C2×C4×Dic79C2314yes—
106C2×C4×Dic79C2314yes—
107C79⋊#95C2314yes—
108C79⋊#95C2314yes—
109C79⋊#95C2314yes—
110C79⋊#95C2314yes—
111C79⋊#95C2314yes—
112C79⋊#95C2314yes—
113C79⋊#95C2314yes—
114C79⋊#95C2314yes—
115C79⋊#95C2314yes—
116C79⋊#95C2314yes—
117C79⋊#95C2314yes—
118C79⋊#95C2314yes—
119C25×C79C2311yescharacteristic
120C23×C4×C79C2311yescharacteristic
121C23×C4×C79C2311yescharacteristic
122C23×C4×C79C2311yescharacteristic
123C23×C4×C79C2311yescharacteristic
124C23×C4×C79C2311yescharacteristic
125C23×C4×C79C2311yescharacteristic
126C2×C4⋊C4×C79—24no—
127C2×C4⋊C4×C79C2314yes—
128C2×C22⋊C4×C79—24no—
129C2×C22⋊C4×C79—24no—
130C2×C22⋊C4×C79—24no—
131C2×C22⋊C4×C79C2314yes—
132C2×C22⋊C4×C79C2314yes—
133C2×C22⋊C4×C79C2314yes—
134C2×C42×C79—24no—
135C2×C42×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—
172C4⋊Dic79—28no—
173C4⋊Dic79—28no—
174Dic79⋊C4—28no—
175Dic79⋊C4—28no—
176Dic79⋊C4—28no—
177Dic79⋊C4—44no—
178C22⋊Dic79—28no—
179C22⋊Dic79—28no—
180C22⋊Dic79—44no—
181C22⋊Dic79—44no—
182C4×Dic79—28no—
183C4×Dic79—44no—
184C4×Dic79—44no—
185C4×Dic79—44no—
186C24×C79—22no—
187C24×C79—22no—
188C24×C79—22no—
189C24×C79—22no—
190C24×C79—22no—
191C24×C79—22no—
192C24×C79—22no—
193C24×C79C2412yes—
194C24×C79C2411yescharacteristic
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—22no—
210C22×C4×C79#4114yes—
211C22×C4×C79#4114yes—
212C22×C4×C79#4114yes—
213C22×C4×C79C2412yes—
214C22×C4×C79C2412yes—
215C22×C4×C79C2412yes—
216C22×C4×C79C2412yes—
217C22×C4×C79C2412yes—
218C22×C4×C79C2412yes—
219C4⋊C4×C79—28no—
220C22⋊C4×C79—28no—
221C22⋊C4×C79—28no—
222C22⋊C4×C79—28no—
223C42×C79—28no—
224C23×C79—22no—
225C23×C79—22no—
226C23×C79—22no—
227C23×C79—22no—
228C23×C79—22no—
229C23×C79—22no—
230C23×C79—22no—
231C23×C79—44no—
232C23×C79—44no—
233C23×C79—44no—
234C23×C79—44no—
235C23×C79—44no—
236C23×C79—44no—
237C23×C79—44no—
238C23×C79C2×#4112yes—
239C23×C79C2×#4112yes—
240C23×C79C2×#4112yes—
241C23×C79C2×#4112yes—
242C23×C79C2×#4112yes—
243C23×C79H(5,𝔽2)12yes—
244C23×C792−1+412yes—
245C23×C79C2511yescharacteristic
246C2×C4×C79—28no—
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—44no—
265C2×C4×C79—44no—
266C2×C4×C79—44no—
267C2×C4×C79C2×#4114yes—
268C2×C4×C79C2×#4114yes—
269C2×C4×C79C2×#4114yes—
270C2×Dic79—28no—
271C2×Dic79—28no—
272C2×Dic79—22no—
273C2×Dic79—22no—
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—44no—
295C2×Dic79—44no—
296C2×Dic79—44no—
297C2×Dic79—44no—
298C2×Dic79—44no—
299C2×Dic79—44no—
300C2×Dic79C2×#4114yes—
301C2×Dic79C2×#4114yes—
302C22×C79—42no—
303C22×C79—42no—
304C22×C79—42no—
305C22×C79—42no—
306C22×C79—42no—
307C22×C79—42no—
308C22×C79—42no—
309C22×C79—88no—
310C22×C79#52914yes—
311C22×C79#52914yes—
312C22×C79#53914yes—
313C22×C79#55314yes—
314C22×C79#55314yes—
315C22×C79#55614yes—
316C22×C79#55614yes—
317C22×C79C22×#4111yescharacteristic
318C22×C79C22×#4111yescharacteristic
319C22×C79C22×#4111yescharacteristic
320C22×C79C22×#4111yescharacteristic
321C22×C79C22×#4111yescharacteristic
322C22×C79C2×H(5,𝔽2)11yescharacteristic
323C22×C79C2×2−1+411yescharacteristic
324C4×C79—24no—
325C4×C79—24no—
326C4×C79—24no—
327C4×C79—42no—
328C4×C79—42no—
329C4×C79—42no—
330Dic79—24no—
331Dic79—24no—
332Dic79—42no—
333Dic79—42no—
334Dic79—42no—
335Dic79—42no—
336Dic79—42no—
337Dic79—42no—
338C2×#2594—791nomaximal, Sylow
339C2×C79—82no—
340C2×C79#259418yescomplemented
341C2×C79C2×#52911yescharacteristic
342C2×C79C2×#52911yescharacteristic
343C2×C79C2×#53911yescharacteristic
344C2×C79C2×#55311yescharacteristic
345C2×C79C2×#55311yescharacteristic
346C2×C79C2×#55611yescharacteristic
347C2×C79C2×#55611yescharacteristic
348#2594—7916no—
349C2×#401—791no—
350C2×#398—791no—
351C2×#397—791no—
352C2×#396—791no—
353C2×#389—791no—
354C2×#388—791no—
355C2×#388—791no—
356C2×#388—791no—
357C2×#388—791no—
358C2×#388D7911yescharacteristic
359C2×#387—791no—
360C2×#387—791no—
361C2×#387—791no—
362C2×C4×C4⋊C4—791no—
363C2×C4×C4⋊C4—791no—
364C79C2×#259411yescharacteristic, complemented, Sylow
365C22×C4⋊C4—791no—
366C22×C4⋊C4—791no—
367C22×C4⋊C4—791no—
368C22×C4⋊C4—791no—
369C22×C4⋊C4—791no—
370C22×C4⋊C4—791no—
371C22×C4⋊C4—791no—
372C22×C4⋊C4—791no—
373C22×C4⋊C4C2×D7911yescharacteristic
374C22×C22⋊C4—791no—
375C22×C22⋊C4—791no—
376C22×C22⋊C4—791no—
377C22×C22⋊C4—791no—
378C22×C22⋊C4C2×D7911yescharacteristic
379C22×C22⋊C4C2×D7911yescharacteristic
380C22×C22⋊C4C2×D7911yescharacteristic
381C22×C42—791no—
382C22×C42—791no—
383C22×C42—791no—
384C22×C42—791no—
385C22×C42C2×D7911yescharacteristic
386#401—798no—
387#398—798no—
388#397—798no—
389#396—798no—
390#389—798no—
391#388—798no—
392#388—798no—
393#388—798no—
394#388—798no—
395#388C2×D7918yes—
396#387—798no—
397#387—798no—
398#387—798no—
399C4×C4⋊C4—798no—
400C4×C4⋊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×#95C2×D7911yescharacteristic
414C2×#95C2×D7911yescharacteristic
415C25C22×D7911yescharacteristic
416C23×C4—791no—
417C23×C4—791no—
418C23×C4—791no—
419C23×C4—791no—
420C23×C4—791no—
421C23×C4—791no—
422C23×C4—791no—
423C23×C4—791no—
424C23×C4C22×D7911yescharacteristic
425C23×C4C22×D7911yescharacteristic
426C23×C4C22×D7911yescharacteristic
427C23×C4C22×D7911yescharacteristic
428C23×C4C22×D7911yescharacteristic
429C23×C4C22×D7911yescharacteristic
430C2×C4⋊C4—24no—
431C2×C4⋊C4—3162no—
432C2×C4⋊C4—794no—
433C2×C4⋊C4—794no—
434C2×C4⋊C4—794no—
435C2×C4⋊C4—794no—
436C2×C4⋊C4—794no—
437C2×C4⋊C4—794no—
438C2×C4⋊C4—794no—
439C2×C4⋊C4—794no—
440C2×C4⋊C4—1584no—
441C2×C4⋊C4—1584no—
442C2×C4⋊C4—1584no—
443C2×C4⋊C4—1584no—
444C2×C4⋊C4—1584no—
445C2×C4⋊C4—1584no—
446C2×C4⋊C4—1584no—
447C2×C4⋊C4C22×D7914yes—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—3162no—
452C2×C22⋊C4—3162no—
453C2×C22⋊C4—794no—
454C2×C22⋊C4—794no—
455C2×C22⋊C4—794no—
456C2×C22⋊C4—794no—
457C2×C22⋊C4—1584no—
458C2×C22⋊C4—1584no—
459C2×C22⋊C4C22×D7914yes—
460C2×C22⋊C4C22×D7914yes—
461C2×C22⋊C4C22×D7914yes—
462C2×C42—24no—
463C2×C42—3162no—
464C2×C42—3162no—
465C2×C42—3162no—
466C2×C42—794no—
467C2×C42—794no—
468C2×C42—794no—
469C2×C42—794no—
470C2×C42—1584no—
471C2×C42C22×D7914yes—
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#95C22×D7914yes—
485#95C22×D7914yes—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24C23×D7912yes—
494C24C23×D7911yescharacteristic
495C22×C4—22no—
496C22×C4—22no—
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—794no—
511C22×C4—794no—
512C22×C4—792no—
513C22×C4—792no—
514C22×C4—792no—
515C22×C4—792no—
516C22×C4—792no—
517C22×C4—792no—
518C22×C4—792no—
519C22×C4—792no—
520C22×C4—1582no—
521C22×C4—1582no—
522C22×C4—1582no—
523C22×C4—1582no—
524C22×C4—1582no—
525C22×C4—1582no—
526C22×C4—1582no—
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#1192962314yes—
543C22×C4#1192962314yes—
544C22×C4#1192962414yes—
545C22×C4C23×D7912yes—
546C22×C4C23×D7912yes—
547C22×C4C23×D7912yes—
548C22×C4C23×D7912yes—
549C22×C4C23×D7912yes—
550C22×C4C23×D7912yes—
551C4⋊C4—28no—
552C4⋊C4—3164no—
553C4⋊C4—1588no—
554C4⋊C4—1588no—
555C4⋊C4—1588no—
556C4⋊C4—1588no—
557C4⋊C4—1588no—
558C4⋊C4—1588no—
559C4⋊C4—1588no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—28no—
563C22⋊C4—3164no—
564C22⋊C4—3164no—
565C22⋊C4—1588no—
566C22⋊C4—1588no—
567C42—28no—
568C42—3164no—
569C42—3164no—
570C42—3164no—
571C42—1588no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23#41×D7912yes—
587C23#41×D7912yes—
588C23C2×#1192962312yes—
589C23C2×#1192962312yes—
590C23C2×#1192962412yes—
591C23#1457920712yes—
592C23#1457920812yes—
593C23C24×D7911yescharacteristic
594C2×C4—22no—
595C2×C4—28no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
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—44no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—3164no—
616C2×C4—3164no—
617C2×C4—3164no—
618C2×C4—3164no—
619C2×C4—3164no—
620C2×C4—3164no—
621C2×C4—794no—
622C2×C4—794no—
623C2×C4—1582no—
624C2×C4—1582no—
625C2×C4—1582no—
626C2×C4—1582no—
627C2×C4—1582no—
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—1588no—
645C2×C4—1588no—
646C2×C4—1582no—
647C2×C4C2×#1192962314yes—
648C2×C4C2×#1192962314yes—
649C2×C4C2×#1192962414yes—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—88no—
658C22#1909909014yes—
659C22#1909909314yes—
660C22#1909915414yes—
661C22#1909925714yes—
662C22#1909926514yes—
663C22#1909928214yes—
664C22#1909928314yes—
665C22C2×#41×D7911yescharacteristic
666C22C2×#41×D7911yescharacteristic
667C22C22×#1192962311yescharacteristic
668C22C22×#1192962311yescharacteristic
669C22C22×#1192962411yescharacteristic
670C22C2×#1457920711yescharacteristic
671C22C2×#1457920811yescharacteristic
672C4—24no—
673C4—24no—
674C4—24no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—3162no—
679C4—3162no—
680C4—3162no—
681C4—3162no—
682C4—3162no—
683C4—3162no—
684C4—1584no—
685C4—1584no—
686C2—82no—
687C2#2376891018yesdirect product factor
688C2C2×#1909909011yescharacteristic
689C2C2×#1909909311yescharacteristic
690C2C2×#1909915411yescharacteristic
691C2C2×#1909925711yescharacteristic
692C2C2×#1909926511yescharacteristic
693C2C2×#1909928211yescharacteristic
694C2C2×#1909928311yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#388×C79C2
socleC24×C79C24
prime radicalC25×C79C23
hypercenterC2×#388D79
hypocenterC79C2×#2594
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
1. #23768910C2direct (N × H)
2. C2×C79⋊#401C2semidirect
3. C2×#19098495C2semidirect
6. C2×#19098458C2semidirect
11. C2×#19098450C2semidirect
12. C2×#19098448C2semidirect
13. C2×#19098447C2semidirect
14. C2×C4⋊C4×Dic79C2semidirect
15. C2×C4×C4⋊Dic79C2semidirect
33. C79⋊#401C22semidirect
34. #19098495C22semidirect
37. #19098458C22semidirect
42. #19098450C22semidirect
43. #19098448C22semidirect
44. #19098447C22semidirect
45. C4⋊C4×Dic79C22semidirect
46. C4×C4⋊Dic79C22semidirect
340. C2×C79#2594semidirect
364. C79C2×#2594semidirect
687. C2#23768910direct (N × H)

Maximal subgroups

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

subgroupindex
#237689102
C2×C79⋊#4012
C2×#190984952
C2×#190984882
C2×#190984862
C2×#190984582
C2×#190984572
C2×#190984562
C2×#190984502
C2×#190984482
C2×#190984472
C2×C4⋊C4×Dic792
C2×C4×C4⋊Dic792
C2×#388×C792
C2×#259479