Finite Group Databasebeta

← #34308747

Subgroups — #34308747

Order 20224.

1058 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098719C211yesmaximal, characteristic
2C2×#19098668C211yesmaximal, characteristic, complemented
3C2×#19098572C211yesmaximal, characteristic
4#23766425C211yesmaximal, characteristic
5#23764260C211yesmaximal, characteristic, complemented
6#23764093C211yesmaximal, characteristic, complemented
7#23764031C211yesmaximal, characteristic, complemented
8#23763831C211yesmaximal, characteristic
9#23763744C211yesmaximal, characteristic, complemented
10#23763741C211yesmaximal, characteristic, complemented
11#23763654C211yesmaximal, characteristic, complemented
12#23763597C211yesmaximal, characteristic
13C4×#14579085C211yesmaximal, characteristic, complemented
14#23763184C211yesmaximal, characteristic
15Q8×C22⋊C4×C79C211yesmaximal, characteristic
16C22×#11929614C2211yescharacteristic
17C22×#11929614C2211yescharacteristic
18C22×#11929608C2211yescharacteristic
19C2×#14579140C2211yescharacteristic
20C2×C4×Dic158C2211yescharacteristic
21C2×#14579120C2211yescharacteristic
22#19098719C418yescomplemented
23#19098668—24no—
24C2×#14579094C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26#19098572—24no—
27C2×#14579085C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×#14579085C2211yescharacteristic
31C2×#14579085C2211yescharacteristic
32C2×#14579085C2211yescharacteristic
33C2×#14579084C2211yescharacteristic
34C2×#14579084C2211yescharacteristic
35C2×C22⋊(C79⋊C8)C2211yescharacteristic
36C2×#14579072C2211yescharacteristic
37C2×C4×C79⋊C8C2211yescharacteristic
38#19098469C2211yescharacteristic
39#19098461C2211yescharacteristic
40#19098457—21no—
41#19098451—21no—
42#19098445—21no—
43C4×C4⋊Dic79C2211yescharacteristic
44#19098414—21no—
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098325C2211yescharacteristic
49#19098318C2211yescharacteristic
50#19098318C2211yescharacteristic
51C23×Q8×C79C2211yescharacteristic
52C2×C4×Q8×C79C2211yescharacteristic
53C2×C4×Q8×C79C2211yescharacteristic
54#391×C79—21no—
55#391×C79—21no—
56#391×C79C2211yescharacteristic
57#391×C79C2211yescharacteristic
58#380×C79—21no—
59#380×C79C2211yescharacteristic
60C4×C22⋊C4×C79—21no—
61C4×C22⋊C4×C79C2211yescharacteristic
62C22×Dic158C2311yescharacteristic
63C2×#11929614—22no—
64C2×#11929614—22no—
65C2×#11929614—41no—
66C2×#11929614—41no—
67C2×#11929614C2×C414yes—
68C2×#11929614C2×C414yes—
69C2×#11929608—22no—
70C2×#11929608—22no—
71C2×#11929608—41no—
72C22×C79⋊C8C2311yescharacteristic
73C22×C79⋊C8C2311yescharacteristic
74C22×C79⋊C8C2311yescharacteristic
75C22×C79⋊C8C2311yescharacteristic
76#14579140—22no—
77#14579140C2×C414yes—
78C4×Dic158—22no—
79C4×Dic158—41no—
80#14579120—22no—
81#14579120—41no—
82C2×C4⋊Dic79C2311yescharacteristic
83C2×C4⋊Dic79C2311yescharacteristic
84C2×C4⋊Dic79C2311yescharacteristic
85C2×Dic79⋊C4—21no—
86C2×Dic79⋊C4—21no—
87C2×Dic79⋊C4—21no—
88C2×C22⋊Dic79—21no—
89C2×C22⋊Dic79—21no—
90C2×C4×Dic79—21no—
91C2×C4×Dic79—21no—
92C2×C4×Dic79—21no—
93#14579094—41no—
94#14579092—22no—
95#14579085—22no—
96#14579085—22no—
97#14579085—22no—
98#14579085C2×C414yes—
99#14579085C2×C414yes—
100#14579085D414yes—
101#14579084—22no—
102#14579084—41no—
103C22⋊(C79⋊C8)C2×C414yes—
104#14579072—22no—
105C4×C79⋊C8—41no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C79⋊#95—21no—
109C79⋊#95—21no—
110C22×Q8×C79—21no—
111C22×Q8×C79—22no—
112C22×Q8×C79—22no—
113C22×Q8×C79—22no—
114C22×Q8×C79—41no—
115C22×Q8×C79—41no—
116C22×Q8×C79C2×C414yes—
117C22×Q8×C79C2311yescharacteristic
118C22×Q8×C79C2311yescharacteristic
119C23×C4×C79—21no—
120C23×C4×C79C2311yescharacteristic
121C4×Q8×C79—22no—
122C4×Q8×C79—22no—
123C4×Q8×C79—41no—
124C4×Q8×C79—41no—
125C2×C4⋊C4×C79—21no—
126C2×C4⋊C4×C79—21no—
127C2×C4⋊C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79C2311yescharacteristic
129C2×C22⋊C4×C79—21no—
130C2×C22⋊C4×C79D411yescharacteristic
131C2×C22⋊C4×C79D411yescharacteristic
132C2×C42×C79—21no—
133C2×C42×C79—21no—
134C2×C42×C79C2311yescharacteristic
135C2×C42×C79C2311yescharacteristic
136#95×C79—21no—
137#95×C79—21no—
138#95×C79—21no—
139#95×C79—21no—
140#95×C79—21no—
141#95×C79D411yescharacteristic
142#95×C79D411yescharacteristic
143C2×Dic158—21no—
144C2×Dic158—21no—
145C2×Dic158—21no—
146C2×Dic158—21no—
147C2×Dic158—21no—
148C2×Dic158C22×C412yes—
149C22×Dic79—21no—
150C22×Dic79—21no—
151C22×Dic79—21no—
152C22×Dic79—21no—
153#11929614—28no—
154#11929614—44no—
155#11929608—44no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8—21no—
162C2×C79⋊C8—21no—
163C2×C79⋊C8—21no—
164C2×C79⋊C8—21no—
165C2×C79⋊C8C22×C412yes—
166C2×C79⋊C8C22×C412yes—
167C2×C79⋊C8C2×D412yes—
168C4⋊Dic79—21no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171C4⋊Dic79—21no—
172C4⋊Dic79C22×C412yes—
173C4⋊Dic79C2×D412yes—
174Dic79⋊C4—24no—
175Dic79⋊C4—42no—
176Dic79⋊C4—42no—
177C22⋊Dic79—24no—
178C22⋊Dic79—42no—
179C4×Dic79—42no—
180C4×Dic79—42no—
181C4×Dic79—42no—
182C24×C79C2×D411yescharacteristic
183C2×Q8×C79—24no—
184C2×Q8×C79—21no—
185C2×Q8×C79—21no—
186C2×Q8×C79—21no—
187C2×Q8×C79—21no—
188C2×Q8×C79—28no—
189C2×Q8×C79—21no—
190C2×Q8×C79—21no—
191C2×Q8×C79—21no—
192C2×Q8×C79—21no—
193C2×Q8×C79—42no—
194C2×Q8×C79—42no—
195C2×Q8×C79—44no—
196C2×Q8×C79—44no—
197C2×Q8×C79—44no—
198C2×Q8×C79C22×C412yes—
199C2×Q8×C79C22×C412yes—
200C2×Q8×C79C2×D412yes—
201C2×Q8×C79#4112yes—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—24no—
208C22×C4×C79—21no—
209C22×C4×C79—21no—
210C22×C4×C79—21no—
211C22×C4×C79—42no—
212C22×C4×C79—42no—
213C22×C4×C79C22×C412yes—
214C22×C4×C79C2×D411yescharacteristic
215C22×C4×C79C2×D411yescharacteristic
216C22×C4×C79C2×D411yescharacteristic
217C22×C4×C79C2×D411yescharacteristic
218C22×C4×C79C2×D411yescharacteristic
219C22×C4×C79#4112yes—
220C22×C4×C79C2411yescharacteristic
221C4⋊C4×C79—21no—
222C4⋊C4×C79—21no—
223C4⋊C4×C79—21no—
224C4⋊C4×C79—21no—
225C4⋊C4×C79—42no—
226C4⋊C4×C79—42no—
227C22⋊C4×C79—22no—
228C22⋊C4×C79—41no—
229C22⋊C4×C79—42no—
230C42×C79—21no—
231C42×C79—21no—
232C42×C79—21no—
233C42×C79—21no—
234C42×C79—42no—
235C42×C79—42no—
236C23×C79—21no—
237C23×C79—21no—
238C23×C79—21no—
239C23×C79—21no—
240C23×C79—21no—
241C23×C79—21no—
242C23×C79C4×D412yes—
243C23×C79C22×D411yescharacteristic
244Q8×C79—22no—
245Q8×C79—22no—
246Q8×C79—22no—
247Q8×C79—22no—
248Q8×C79—22no—
249Q8×C79—48no—
250Q8×C79—41no—
251Q8×C79—41no—
252Q8×C79C4×D414yes—
253C2×C4×C79—22no—
254C2×C4×C79—21no—
255C2×C4×C79—22no—
256C2×C4×C79—21no—
257C2×C4×C79—22no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—22no—
261C2×C4×C79—22no—
262C2×C4×C79—22no—
263C2×C4×C79—22no—
264C2×C4×C79—22no—
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×C79C4×D412yes—
284C2×C4×C79#13712yes—
285C2×C4×C79C23×C411yescharacteristic
286C2×C4×C79C22×D411yescharacteristic
287C2×C4×C79C2×#4111yescharacteristic
288C2×C4×C79C2×#4111yescharacteristic
289C2×C4×C79H(5,𝔽2)11yescharacteristic
290C2×C4×C79H(5,𝔽2)11yescharacteristic
291C2×Dic79—22no—
292C2×Dic79—22no—
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—
303Dic158—22no—
304Dic158—22no—
305Dic158—41no—
306Dic158—41no—
307C79⋊C8—22no—
308C79⋊C8—22no—
309C79⋊C8—22no—
310C79⋊C8—41no—
311C22×C79—22no—
312C22×C79—22no—
313C22×C79—22no—
314C22×C79—41no—
315C22×C79—41no—
316C22×C79—41no—
317C22×C79—41no—
318C22×C79C2×C4×D411yescharacteristic
319C22×C79D4211yescharacteristic
320C22×C79#54611yescharacteristic
321C22×C79C2×#13711yescharacteristic
322C22×C79#57511yescharacteristic
323C22×C79#57811yescharacteristic
324C22×C79#57811yescharacteristic
325C4×C79—22no—
326C4×C79—24no—
327C4×C79—22no—
328C4×C79—42no—
329C4×C79—41no—
330C4×C79—41no—
331C4×C79—41no—
332C4×C79—81no—
333C4×C79—81no—
334C4×C79C2×C4×D411yescharacteristic
335C4×C79#51811yescharacteristic
336C4×C79#54611yescharacteristic
337C4×C79#55111yescharacteristic
338Dic79—42no—
339Dic79—42no—
340Dic79—42no—
341Dic79—81no—
342#22869—791nomaximal, Sylow
343C2×C79—42no—
344C2×C79#235811yescharacteristic
345C2×C79C4×#13711yescharacteristic
346C2×C79#295011yescharacteristic
347C2×C79#327611yescharacteristic
348C2×C79#327711yescharacteristic
349C2×C79#331211yescharacteristic
350C2×C79#331311yescharacteristic
351C2×#451—791no—
352C2×#441—791no—
353C2×#419—791no—
354#2362—791no—
355Q8×C22⋊C4D7911yescharacteristic
356#1969—791no—
357#1935—791no—
358#1927—791no—
359#1894—791no—
360#1878—791no—
361#1878—791no—
362#1863—791no—
363#1854—791no—
364C4×#103—791no—
365#1753—791no—
366C79#2286911yescharacteristic, complemented, Sylow
367C23×Q8C2×D7911yescharacteristic
368C22×Q16—791no—
369C22×Q16—791no—
370C22×M16—791no—
371C2×C22⋊Q8—791no—
372C2×C4×Q8—791no—
373C2×C4×Q8C2×D7911yescharacteristic
374C2×C4×Q8C2×D7911yescharacteristic
375C2×#117—791no—
376#451—798no—
377#441—1584no—
378C2×#107—791no—
379C2×#106—791no—
380#419—1584no—
381C2×#103—791no—
382C2×#103—791no—
383C2×#103—791no—
384C2×#103—791no—
385C2×#103—791no—
386C2×#103—791no—
387C2×#103—791no—
388C2×#103—791no—
389C2×C22⋊C8—791no—
390C2×#97—791no—
391C2×C4×C8—791no—
392#391—21no—
393#391—21no—
394#391—791no—
395#391C2×D7911yescharacteristic
396#391C2×D7911yescharacteristic
397#389—791no—
398#388—1581no—
399#388—1581no—
400#387—1581no—
401#380—21no—
402#380C2×D7911yescharacteristic
403C4×C4⋊C4—791no—
404C4×C4⋊C4—1581no—
405C4×C22⋊C4—21no—
406C4×C22⋊C4C2×D7911yescharacteristic
407#340—791no—
408#340—791no—
409#340—791no—
410#340—791no—
411#336—791no—
412#336—791no—
413C22×Q8—21no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8—791no—
420C22×Q8C4×D7914yes—
421C22×Q8C22×D7911yescharacteristic
422C22×Q8C22×D7911yescharacteristic
423C23×C4—21no—
424C23×C4C22×D7911yescharacteristic
425C2×Q16—3161no—
426C2×Q16—3161no—
427C2×Q16—794no—
428C2×Q16—794no—
429C2×Q16—1582no—
430C2×Q16—1582no—
431C2×M16—3161no—
432C2×M16—1582no—
433C2×M16—1582no—
434C22×C8—791no—
435C22×C8—791no—
436C22×C8—791no—
437C22×C8—791no—
438C22⋊Q8—794no—
439C22⋊Q8—1582no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—41no—
443C4×Q8—41no—
444C4×Q8—3161no—
445C4×Q8—1582no—
446#117—3161no—
447#117—1582no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—791no—
451C2×C4⋊C4—791no—
452C2×C4⋊C4—791no—
453C2×C4⋊C4—1581no—
454C2×C4⋊C4—1581no—
455C2×C4⋊C4—1581no—
456C2×C4⋊C4C22×D7911yescharacteristic
457C2×C4⋊C4C22×D7911yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1581no—
460C2×C22⋊C4—1581no—
461C2×C22⋊C4C22⋊D7911yescharacteristic
462C2×C22⋊C4C22⋊D7911yescharacteristic
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—1581no—
466C2×C42—1581no—
467C2×C42—1581no—
468C2×C42C22×D7911yescharacteristic
469C2×C42C22×D7911yescharacteristic
470#107—3161no—
471#106—1582no—
472#103—3161no—
473#103—794no—
474#103—794no—
475#103—794no—
476#103—1582no—
477#103—1582no—
478#103—1582no—
479#103—1582no—
480C22⋊C8—794no—
481#97—1582no—
482C4×C8—3161no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1581no—
489#95—1581no—
490#95—1581no—
491#95—1581no—
492#95C22⋊D7911yescharacteristic
493#95C22⋊D7911yescharacteristic
494C24C2×C22⋊D7911yescharacteristic
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—24no—
500C2×Q8—28no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8—42no—
507C2×Q8—44no—
508C2×Q8—44no—
509C2×Q8—44no—
510C2×Q8—792no—
511C2×Q8—1581no—
512C2×Q8—1581no—
513C2×Q8—1581no—
514C2×Q8—1581no—
515C2×Q8—1581no—
516C2×Q8C2×C4×D7912yes—
517C2×Q8C2×C4×D7912yes—
518C2×Q8D4×D7912yes—
519C2×Q8#1192962312yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—1581no—
532C22×C4—1581no—
533C22×C4—1581no—
534C22×C4—1581no—
535C22×C4C2×C4×D7912yes—
536C22×C4C2×C22⋊D7911yescharacteristic
537C22×C4C2×C22⋊D7911yescharacteristic
538C22×C4C2×C22⋊D7911yescharacteristic
539C22×C4C2×C22⋊D7911yescharacteristic
540C22×C4C2×C22⋊D7911yescharacteristic
541C22×C4#1192962412yes—
542C22×C4C23×D7911yescharacteristic
543Q16—3164no—
544Q16—1588no—
545M16—3164no—
546C2×C8—792no—
547C2×C8—792no—
548C2×C8—792no—
549C2×C8—1581no—
550C2×C8—1581no—
551C2×C8—1581no—
552C2×C8—1581no—
553C2×C8—1581no—
554C2×C8—1581no—
555C2×C8—1581no—
556C2×C8—1581no—
557C2×C8—1581no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—3162no—
565C4⋊C4—3162no—
566C4⋊C4—792no—
567C4⋊C4—792no—
568C4⋊C4—1581no—
569C4⋊C4—1581no—
570C4⋊C4—1581no—
571C4⋊C4—1581no—
572C4⋊C4—1584no—
573C22⋊C4—22no—
574C22⋊C4—41no—
575C22⋊C4—42no—
576C22⋊C4—3162no—
577C22⋊C4—1584no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—42no—
583C42—42no—
584C42—3162no—
585C42—3162no—
586C42—3162no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23C4×C22⋊D7912yes—
594C23C22×C22⋊D7911yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—48no—
601Q8—41no—
602Q8—41no—
603Q8—3161no—
604Q8—3161no—
605Q8—1582no—
606Q8—1582no—
607Q8(C22⋊D79)⋊C414yes—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—3161no—
639C2×C4—3161no—
640C2×C4—3161no—
641C2×C4—3161no—
642C2×C4—3161no—
643C2×C4—3161no—
644C2×C4—3161no—
645C2×C4—3161no—
646C2×C4—3161no—
647C2×C4—1582no—
648C2×C4—1582no—
649C2×C4—1582no—
650C2×C4C4×C22⋊D7912yes—
651C2×C4#1457919212yes—
652C2×C4C22×C4×D7911yescharacteristic
653C2×C4C2×D4×D7911yescharacteristic
654C2×C4C2×#1192962311yescharacteristic
655C2×C4C2×#1192962411yescharacteristic
656C2×C4#1457920611yescharacteristic
657C2×C4#1457920611yescharacteristic
658C8—3161no—
659C8—1582no—
660C8—1582no—
661C8—1582no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×C4×C22⋊D7911yescharacteristic
670C22D4×C22⋊D7911yescharacteristic
671C22#1909920711yescharacteristic
672C22C2×#1457919211yescharacteristic
673C22#1909936111yescharacteristic
674C22#1909937811yescharacteristic
675C22#1909937811yescharacteristic
676C4—22no—
677C4—24no—
678C4—22no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—3162no—
686C4—3162no—
687C4—3162no—
688C4—6321no—
689C4C2×(C22⋊D79)⋊C411yescharacteristic
690C4#1909903611yescharacteristic
691C4#1909920311yescharacteristic
692C4#1909923911yescharacteristic
693C2—42no—
694C2#2376637911yescharacteristic
695C2C4×#1457919211yescharacteristic
696C2#2377226611yescharacteristic
697C2#2377504611yescharacteristic
698C2#2377505311yescharacteristic
699C2#2377545111yescharacteristic
700C2#2377546611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingQ8×C22⋊C4×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
cosocleC22×C4×C79C24
hypercenterQ8×C22⋊C4D79
hypocenterC79#22869
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#19098668C2semidirect
5. #23764260C2semidirect
6. #23764093C2semidirect
7. #23764031C2semidirect
9. #23763744C2semidirect
10. #23763741C2semidirect
11. #23763654C2semidirect
13. C4×#14579085C2semidirect
22. #19098719C4semidirect
366. C79#22869semidirect

Maximal subgroups

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

subgroupindex
C2×#190987192
C2×#190986682
C2×#190985722
#237664252
#237642602
#237640932
#237640312
#237638312
#237637442
#237637412
#237636542
#237635972
C4×#145790852
#237631842
Q8×C22⋊C4×C792
#2286979