Finite Group Databasebeta

← #34332174

Subgroups — #34332174

Order 20224.

966 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098725C211yesmaximal, characteristic
2C2×C4×#11929614C211yesmaximal, characteristic, complemented
3#23766925C211yesmaximal, characteristic, complemented
4#23764928C211yesmaximal, characteristic, complemented
5#23764826C211yesmaximal, characteristic, complemented
6#23764717C211yesmaximal, characteristic, complemented
7#23764603C211yesmaximal, characteristic, complemented
8#23764086C211yesmaximal, characteristic, complemented
9#23764008C211yesmaximal, characteristic, complemented
10#23763758C211yesmaximal, characteristic, complemented
11#23763741C211yesmaximal, characteristic, complemented
12#23763654C211yesmaximal, characteristic, complemented
13#23763405C211yesmaximal, characteristic, complemented
14#23763340C211yesmaximal, characteristic
15C79×#2341C211yesmaximal, characteristic
16C22×#11929614C2211yescharacteristic
17C22×#11929612C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×C4×Dic158C2211yescharacteristic
20#19098725—24no—
21C4×#11929614—24no—
22C2×#14579094C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×C4⋊(C79⋊C8)C2211yescharacteristic
25C2×#14579085C2211yescharacteristic
26C2×#14579085C2211yescharacteristic
27C2×#14579085C2211yescharacteristic
28C2×#14579084C2211yescharacteristic
29C2×#14579084C2211yescharacteristic
30C2×#14579082C2211yescharacteristic
31C2×#14579082C2211yescharacteristic
32C2×#14579082C2211yescharacteristic
33C2×C22⋊(C79⋊C8)C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35C2×C4×C79⋊C8C2211yescharacteristic
36#19098499—21no—
37#19098497—21no—
38#19098469C2211yescharacteristic
39#19098461C2211yescharacteristic
40#19098456—21no—
41#19098446—21no—
42#19098433C2211yescharacteristic
43#19098423C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C22×#41×C79C2211yescharacteristic
51C2×C4×Q8×C79C2211yescharacteristic
52C2×C4×Q8×C79C2211yescharacteristic
53#390×C79—21no—
54#390×C79—21no—
55#390×C79C2211yescharacteristic
56#390×C79C2211yescharacteristic
57#380×C79—21no—
58#380×C79C2211yescharacteristic
59C4×C22⋊C4×C79—21no—
60C4×C22⋊C4×C79C2211yescharacteristic
61C22×Dic158C2311yescharacteristic
62C2×#11929614—22no—
63C2×#11929614—22no—
64C2×#11929614D414yes—
65C2×#11929612—22no—
66C2×#11929612—22no—
67C2×#11929612—41no—
68C22×C79⋊C8C2311yescharacteristic
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71C22×C79⋊C8C2311yescharacteristic
72#14579140—22no—
73#14579140—41no—
74C4×Dic158—22no—
75C4×Dic158—41no—
76C2×C4⋊Dic79—21no—
77C2×C4⋊Dic79—21no—
78C2×C4⋊Dic79C2311yescharacteristic
79C2×C4⋊Dic79C2311yescharacteristic
80C2×C4⋊Dic79C2311yescharacteristic
81C2×Dic79⋊C4—21no—
82C2×Dic79⋊C4—21no—
83C2×Dic79⋊C4—21no—
84C2×C22⋊Dic79—21no—
85C2×C22⋊Dic79—21no—
86C2×C4×Dic79—21no—
87#14579094—22no—
88#14579094—41no—
89C4⋊(C79⋊C8)—41no—
90#14579085—22no—
91#14579085—22no—
92#14579085—22no—
93#14579084—22no—
94#14579084—41no—
95#14579082—22no—
96#14579082—22no—
97#14579082—41no—
98C22⋊(C79⋊C8)—22no—
99C22⋊(C79⋊C8)—41no—
100C4×C79⋊C8—22no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C79⋊#95—21no—
104C79⋊#95—21no—
105C2×#41×C79—22no—
106C2×#41×C79—22no—
107C2×#41×C79—22no—
108C2×#41×C79—22no—
109C2×#41×C79—41no—
110C2×#41×C79—41no—
111C22×Q8×C79C2311yescharacteristic
112C22×D4×C79—21no—
113C22×D4×C79C2311yescharacteristic
114C23×C4×C79—21no—
115C23×C4×C79C2311yescharacteristic
116C4×Q8×C79—22no—
117C4×Q8×C79—22no—
118C4×Q8×C79—41no—
119C4×Q8×C79—41no—
120C2×C4⋊C4×C79—21no—
121C2×C4⋊C4×C79—21no—
122C2×C4⋊C4×C79C2311yescharacteristic
123C2×C4⋊C4×C79C2311yescharacteristic
124C2×C22⋊C4×C79—21no—
125C2×C22⋊C4×C79—21no—
126C2×C22⋊C4×C79—21no—
127C2×C22⋊C4×C79—21no—
128C2×C22⋊C4×C79—21no—
129C2×C22⋊C4×C79D411yescharacteristic
130C2×C22⋊C4×C79D411yescharacteristic
131C2×C42×C79—21no—
132C2×C42×C79—21no—
133C2×C42×C79C2311yescharacteristic
134C2×C42×C79C2311yescharacteristic
135#95×C79—21no—
136#95×C79D411yescharacteristic
137#95×C79D411yescharacteristic
138C2×Dic158—21no—
139C2×Dic158—21no—
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158—21no—
143C2×Dic158C2×D412yes—
144C22×Dic79—21no—
145C22×Dic79—21no—
146C22×Dic79—21no—
147C22×Dic79—21no—
148#11929614—28no—
149#11929612—44no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8C2×D412yes—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—42no—
169C4⋊Dic79—81no—
170Dic79⋊C4—42no—
171Dic79⋊C4—42no—
172Dic79⋊C4—81no—
173C22⋊Dic79—42no—
174C22⋊Dic79—81no—
175C4×Dic79—42no—
176C24×C79—21no—
177C24×C79C2×D411yescharacteristic
178#41×C79—44no—
179#41×C79—44no—
180#41×C79—44no—
181#41×C79—44no—
182C2×Q8×C79—21no—
183C2×Q8×C79—21no—
184C2×Q8×C79—21no—
185C2×Q8×C79C2×D412yes—
186C2×Q8×C79#4112yes—
187C2×Q8×C79#4112yes—
188C2×D4×C79—24no—
189C2×D4×C79—21no—
190C2×D4×C79—21no—
191C2×D4×C79—21no—
192C2×D4×C79—21no—
193C2×D4×C79—21no—
194C2×D4×C79—42no—
195C2×D4×C79—42no—
196C2×D4×C79#4112yes—
197C22×C4×C79—21no—
198C22×C4×C79—24no—
199C22×C4×C79—21no—
200C22×C4×C79—21no—
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—42no—
208C22×C4×C79—42no—
209C22×C4×C79C2×D411yescharacteristic
210C22×C4×C79C2×D411yescharacteristic
211C22×C4×C79C2×D411yescharacteristic
212C22×C4×C79C2×D411yescharacteristic
213C22×C4×C79C2×D411yescharacteristic
214C22×C4×C79C2411yescharacteristic
215C4⋊C4×C79—21no—
216C4⋊C4×C79—21no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79—21no—
219C4⋊C4×C79—42no—
220C4⋊C4×C79—42no—
221C22⋊C4×C79—22no—
222C22⋊C4×C79—22no—
223C22⋊C4×C79—42no—
224C22⋊C4×C79—42no—
225C22⋊C4×C79—81no—
226C22⋊C4×C79—81no—
227C22⋊C4×C79—81no—
228C42×C79—21no—
229C42×C79—21no—
230C42×C79—21no—
231C42×C79—21no—
232C42×C79—42no—
233C42×C79—42no—
234C23×C79—21no—
235C23×C79—22no—
236C23×C79—21no—
237C23×C79—21no—
238C23×C79—21no—
239C23×C79—21no—
240C23×C79—21no—
241C23×C79—21no—
242C23×C79—41no—
243C23×C79—41no—
244C23×C79—41no—
245C23×C79—41no—
246C23×C79—41no—
247C23×C79—41no—
248C23×C79C22×D411yescharacteristic
249Q8×C79—22no—
250Q8×C79—22no—
251Q8×C79—22no—
252Q8×C79#12314yes—
253D4×C79—22no—
254D4×C79—22no—
255D4×C79—48no—
256D4×C79—41no—
257D4×C79—41no—
258C2×C4×C79—22no—
259C2×C4×C79—21no—
260C2×C4×C79—22no—
261C2×C4×C79—21no—
262C2×C4×C79—22no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—21no—
270C2×C4×C79—21no—
271C2×C4×C79—21no—
272C2×C4×C79—21no—
273C2×C4×C79—21no—
274C2×C4×C79—48no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79—41no—
278C2×C4×C79—41no—
279C2×C4×C79—41no—
280C2×C4×C79—41no—
281C2×C4×C79—41no—
282C2×C4×C79—41no—
283C2×C4×C79—41no—
284C2×C4×C79—41no—
285C2×C4×C79#13512yes—
286C2×C4×C79#13712yes—
287C2×C4×C79C22×D411yescharacteristic
288C2×C4×C79C2×#4111yescharacteristic
289C2×C4×C79C2×#4111yescharacteristic
290C2×C4×C79C2×#4111yescharacteristic
291C2×C4×C79H(5,𝔽2)11yescharacteristic
292C2×C4×C79H(5,𝔽2)11yescharacteristic
293C2×Dic79—22no—
294C2×Dic79—41no—
295C2×Dic79—41no—
296C2×Dic79—41no—
297C2×Dic79—41no—
298C2×Dic79—41no—
299C2×Dic79—41no—
300C2×Dic79—41no—
301C2×Dic79—41no—
302C2×Dic79—41no—
303C2×Dic79—41no—
304C2×Dic79—41no—
305Dic158—22no—
306Dic158—22no—
307Dic158—41no—
308Dic158—41no—
309C79⋊C8—22no—
310C79⋊C8—41no—
311C79⋊C8—41no—
312C79⋊C8—41no—
313C22×C79—41no—
314C22×C79—41no—
315C22×C79—42no—
316C22×C79—41no—
317C22×C79—42no—
318C22×C79—42no—
319C22×C79—41no—
320C22×C79—41no—
321C22×C79—41no—
322C22×C79—41no—
323C22×C79—81no—
324C22×C79—81no—
325C22×C79—81no—
326C22×C79—81no—
327C22×C79#52511yescharacteristic
328C22×C79D4211yescharacteristic
329C22×C79#54611yescharacteristic
330C22×C79C2×#13511yescharacteristic
331C22×C79C2×#13711yescharacteristic
332C22×C79#57611yescharacteristic
333C22×C79#57811yescharacteristic
334C4×C79—24no—
335C4×C79—22no—
336C4×C79—22no—
337C4×C79—41no—
338C4×C79—41no—
339C4×C79—41no—
340C4×C79—81no—
341C4×C79—81no—
342C4×C79C2×#12311yescharacteristic
343C4×C79#53811yescharacteristic
344C4×C79#54611yescharacteristic
345C4×C79#55111yescharacteristic
346Dic79—42no—
347Dic79—81no—
348Dic79—81no—
349Dic79—81no—
350#24904—791nomaximal, Sylow
351C2×C79—81no—
352C2×C79—82no—
353C2×C79#241811yescharacteristic
354C2×C79#310711yescharacteristic
355C2×C79#312411yescharacteristic
356C2×C79#327011yescharacteristic
357C2×C79#328711yescharacteristic
358C2×C79#330011yescharacteristic
359C2×C79#333311yescharacteristic
360C2×#452—791no—
361C2×C4×Q16—791no—
362#2423—791no—
363#2341D7911yescharacteristic
364#2093—791no—
365#2075—791no—
366#2055—791no—
367#2036—791no—
368#1934—791no—
369#1923—791no—
370#1880—791no—
371#1878—791no—
372#1863—791no—
373#1803—791no—
374#1788—791no—
375C79#2490411yescharacteristic, complemented, Sylow
376C22×#41C2×D7911yescharacteristic
377C22×Q16—791no—
378C22×SD16—791no—
379C2×C22⋊Q8—791no—
380C2×C4×Q8—791no—
381C2×C4×Q8C2×D7911yescharacteristic
382C2×C4×Q8C2×D7911yescharacteristic
383#452—1584no—
384C4×Q16—1584no—
385C2×#107—791no—
386C2×#107—791no—
387C2×C4⋊C8—791no—
388C2×#103—791no—
389C2×#103—791no—
390C2×#103—791no—
391C2×#103—791no—
392C2×#103—791no—
393C2×#102—791no—
394C2×#102—791no—
395C2×#102—791no—
396C2×C22⋊C8—791no—
397C2×C22⋊C8—791no—
398C2×C4×C8—791no—
399#399—1581no—
400#398—1581no—
401#391—791no—
402#390—21no—
403#390—21no—
404#390C2×D7911yescharacteristic
405#390C2×D7911yescharacteristic
406#389—791no—
407#388—1581no—
408#387—1581no—
409#384—791no—
410#380—21no—
411#380—791no—
412#380C2×D7911yescharacteristic
413C4×C22⋊C4—21no—
414C4×C22⋊C4C2×D7911yescharacteristic
415#340—791no—
416#340—791no—
417#340—791no—
418#340—791no—
419#336—791no—
420#336—791no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8—791no—
428C22×Q8C22×D7911yescharacteristic
429C22×D4—21no—
430C22×D4C22×D7911yescharacteristic
431C23×C4—21no—
432C23×C4C22×D7911yescharacteristic
433C2×Q16—794no—
434C2×Q16—1582no—
435C2×Q16—1582no—
436C2×SD16—3161no—
437C2×SD16—1582no—
438C2×SD16—1582no—
439C22×C8—791no—
440C22×C8—791no—
441C22×C8—791no—
442C22×C8—791no—
443C22⋊Q8—3161no—
444C22⋊Q8—1582no—
445C4×Q8—22no—
446C4×Q8—22no—
447C4×Q8—41no—
448C4×Q8—41no—
449C4×Q8—3161no—
450C4×Q8—1582no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—791no—
454C2×C4⋊C4—791no—
455C2×C4⋊C4—791no—
456C2×C4⋊C4—1581no—
457C2×C4⋊C4—1581no—
458C2×C4⋊C4—1581no—
459C2×C4⋊C4—1581no—
460C2×C4⋊C4—1581no—
461C2×C4⋊C4C22×D7911yescharacteristic
462C2×C4⋊C4C22×D7911yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1581no—
469C2×C22⋊C4—1581no—
470C2×C22⋊C4C22⋊D7911yescharacteristic
471C2×C22⋊C4C22⋊D7911yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—1581no—
475C2×C42C22×D7911yescharacteristic
476C2×C42C22×D7911yescharacteristic
477#107—3161no—
478#107—1582no—
479C4⋊C8—3161no—
480#103—3161no—
481#103—1582no—
482#103—1582no—
483#103—1582no—
484#103—1582no—
485#102—3161no—
486#102—1582no—
487#102—1582no—
488C22⋊C8—3161no—
489C22⋊C8—1582no—
490C4×C8—1582no—
491#95—21no—
492#95—1581no—
493#95—1581no—
494#95—1581no—
495#95—1581no—
496#95C22⋊D7911yescharacteristic
497#95C22⋊D7911yescharacteristic
498C24—21no—
499C24C2×C22⋊D7911yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—792no—
508C2×Q8—1581no—
509C2×Q8—1581no—
510C2×Q8—1581no—
511C2×Q8—1581no—
512C2×Q8—1581no—
513C2×Q8D4×D7912yes—
514C2×Q8#1192962312yes—
515C2×Q8#1192962412yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1192962412yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—1581no—
538C22×C4—1581no—
539C22×C4—1581no—
540C22×C4—1581no—
541C22×C4C2×C22⋊D7911yescharacteristic
542C22×C4C2×C22⋊D7911yescharacteristic
543C22×C4C2×C22⋊D7911yescharacteristic
544C22×C4C2×C22⋊D7911yescharacteristic
545C22×C4C2×C22⋊D7911yescharacteristic
546C22×C4C23×D7911yescharacteristic
547Q16—1588no—
548SD16—3164no—
549C2×C8—792no—
550C2×C8—1581no—
551C2×C8—1581no—
552C2×C8—1581no—
553C2×C8—1581no—
554C2×C8—1581no—
555C2×C8—1581no—
556C2×C8—1581no—
557C2×C8—1581no—
558C2×C8—1581no—
559C2×C8—1581no—
560C2×C8—1581no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—3162no—
568C4⋊C4—3162no—
569C4⋊C4—3162no—
570C4⋊C4—6321no—
571C4⋊C4—6321no—
572C4⋊C4—1581no—
573C4⋊C4—1581no—
574C4⋊C4—1581no—
575C4⋊C4—1581no—
576C4⋊C4—1581no—
577C4⋊C4—1581no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—3162no—
586C22⋊C4—6321no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C42—42no—
593C42—3162no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—22no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C22×C22⋊D7911yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—3161no—
613Q8—3161no—
614Q8—1582no—
615Q8—1582no—
616Q8#1457914314yes—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—41no—
621D4—41no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—3161no—
650C2×C4—3161no—
651C2×C4—3161no—
652C2×C4—3161no—
653C2×C4—3161no—
654C2×C4—3161no—
655C2×C4—3161no—
656C2×C4—3161no—
657C2×C4—3161no—
658C2×C4—3161no—
659C2×C4—3161no—
660C2×C4—1582no—
661C2×C4#1457918112yes—
662C2×C4#1457919112yes—
663C2×C4C2×D4×D7911yescharacteristic
664C2×C4C2×#1192962311yescharacteristic
665C2×C4C2×#1192962411yescharacteristic
666C2×C4C2×#1192962411yescharacteristic
667C2×C4#1457920611yescharacteristic
668C2×C4#1457920611yescharacteristic
669C8—3161no—
670C8—3161no—
671C8—3161no—
672C8—1582no—
673C22—41no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1909907411yescharacteristic
688C22D4×C22⋊D7911yescharacteristic
689C22#1909920711yescharacteristic
690C22C2×#1457918111yescharacteristic
691C22C2×#1457919111yescharacteristic
692C22#1909936611yescharacteristic
693C22#1909937811yescharacteristic
694C4—22no—
695C4—24no—
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—3162no—
703C4—6321no—
704C4—6321no—
705C4—6321no—
706C4C2×#1457914311yescharacteristic
707C4#1909915111yescharacteristic
708C4#1909920311yescharacteristic
709C4#1909923911yescharacteristic
710C2—81no—
711C2—82no—
712C2#2376686211yescharacteristic
713C2#2377347111yescharacteristic
714C2#2377366211yescharacteristic
715C2#2377496611yescharacteristic
716C2#2377515611yescharacteristic
717C2#2377528711yescharacteristic
718C2#2377573811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC79×#2341C2
socleC23×C79C22×D4
prime radicalC22×#41×C79C22
hypercenter#2341D79
hypocenterC79#24904
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11929614C2semidirect
3. #23766925C2semidirect
4. #23764928C2semidirect
5. #23764826C2semidirect
6. #23764717C2semidirect
7. #23764603C2semidirect
8. #23764086C2semidirect
9. #23764008C2semidirect
10. #23763758C2semidirect
11. #23763741C2semidirect
12. #23763654C2semidirect
13. #23763405C2semidirect
375. C79#24904semidirect

Maximal subgroups

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

subgroupindex
C2×#190987252
C2×C4×#119296142
#237669252
#237649282
#237648262
#237647172
#237646032
#237640862
#237640082
#237637582
#237637412
#237636542
#237634052
#237633402
C79×#23412
#2490479