Finite Group Databasebeta

← #33097139

Subgroups — #33097139

Order 18688.

1012 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988749C211yesmaximal, characteristic
2C4×#14556570C211yesmaximal, characteristic, complemented
3#22610791C211yesmaximal, characteristic, complemented
4#22610784C211yesmaximal, characteristic, complemented
5#22610617C211yesmaximal, characteristic, complemented
6#22610610C211yesmaximal, characteristic, complemented
7#22610562C211yesmaximal, characteristic, complemented
8#22610548C211yesmaximal, characteristic, complemented
9#22610289C211yesmaximal, characteristic, complemented
10#22610275C211yesmaximal, characteristic, complemented
11#22610243C211yesmaximal, characteristic, complemented
12#22610130C211yesmaximal, characteristic, complemented
13#22609871C211yesmaximal, characteristic
14C4×C22⋊#10596831C211yesmaximal, characteristic, complemented
15C73×#2297C211yesmaximal, characteristic
16C22×#11924018C2211yescharacteristic
17C22×#11924016C2211yescharacteristic
18C2×#14556570C2211yescharacteristic
19C2×C4×Dic146C2211yescharacteristic
20#17988749C418yescomplemented
21C2×#14556524C2211yescharacteristic
22C2×#14556522C2211yescharacteristic
23C2×#14556515C2211yescharacteristic
24C2×#14556515C2211yescharacteristic
25C2×#14556515C2211yescharacteristic
26C2×#14556514C2211yescharacteristic
27C2×#14556514C2211yescharacteristic
28C2×#14556512C2211yescharacteristic
29C2×#14556512C2211yescharacteristic
30C2×#14556512C2211yescharacteristic
31C2×C22⋊#10596831C2211yescharacteristic
32C2×C22⋊#10596831C2211yescharacteristic
33C2×C4×#10596831C2211yescharacteristic
34C2×C4×#10596831C2211yescharacteristic
35#17988493C2211yescharacteristic
36#17988485C2211yescharacteristic
37#17988471—21no—
38#17988460—21no—
39#17988447C2211yescharacteristic
40C4×#11924007—21no—
41C4×C4⋊Dic73C2211yescharacteristic
42C4×C22⋊Dic73—21no—
43#17988349C2211yescharacteristic
44#17988349C2211yescharacteristic
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988342C2211yescharacteristic
48#17988342C2211yescharacteristic
49C22×#41×C73C2211yescharacteristic
50C2×#117×C73C2211yescharacteristic
51C22×C42×C73C2211yescharacteristic
52#391×C73C2211yescharacteristic
53#391×C73C2211yescharacteristic
54#390×C73C2211yescharacteristic
55#390×C73C2211yescharacteristic
56#386×C73—21no—
57#386×C73—21no—
58C4×C22⋊C4×C73—21no—
59C4×C22⋊C4×C73—21no—
60C22×Dic146C2311yescharacteristic
61C2×#11924018—41no—
62C2×#11924018—41no—
63C2×#11924018C2×C414yescomplemented
64C2×#11924016—41no—
65C2×#11924016—41no—
66C2×#11924016C2×C414yescomplemented
67C22×#10596831C2311yescharacteristic
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70C22×#10596831C2311yescharacteristic
71#14556570—22no—
72#14556570C2×C414yes—
73C4×Dic146—41no—
74C4×Dic146—41no—
75C2×C4⋊Dic73C2311yescharacteristic
76C2×C4⋊Dic73C2311yescharacteristic
77C2×C4⋊Dic73C2311yescharacteristic
78C2×#11924007—21no—
79C2×#11924007—21no—
80C2×#11924007—21no—
81C2×C22⋊Dic73—21no—
82C2×C22⋊Dic73—21no—
83C2×C4×Dic73—21no—
84C2×C4×Dic73—21no—
85#14556524—41no—
86#14556522—41no—
87#14556515—41no—
88#14556515—41no—
89#14556515C2×C414yescomplemented
90#14556514—41no—
91#14556514—41no—
92#14556512—41no—
93#14556512—41no—
94#14556512C2×C414yescomplemented
95C22⋊#10596831—22no—
96C22⋊#10596831C2×C414yes—
97C4×#10596831—41no—
98C4×#10596831—41no—
99#14556498—21no—
100#14556498—21no—
101#14556498—21no—
102#14556498—21no—
103#14556498—21no—
104C2×#41×C73—22no—
105C2×#41×C73—41no—
106C2×#41×C73—41no—
107C2×#41×C73—41no—
108C2×#41×C73—41no—
109C2×#41×C73C2×C414yes—
110C22×Q8×C73C2311yescharacteristic
111C22×D4×C73—21no—
112C22×D4×C73C2311yescharacteristic
113C23×C4×C73—21no—
114C23×C4×C73D411yescharacteristic
115C23×C4×C73D411yescharacteristic
116C23×C4×C73C2311yescharacteristic
117#117×C73—41no—
118#117×C73—41no—
119C2×C4⋊C4×C73C2311yescharacteristic
120C2×C4⋊C4×C73C2311yescharacteristic
121C2×C22⋊C4×C73—21no—
122C2×C22⋊C4×C73—21no—
123C2×C22⋊C4×C73—21no—
124C2×C22⋊C4×C73—21no—
125C2×C22⋊C4×C73—21no—
126C2×C42×C73—21no—
127C2×C42×C73—41no—
128C2×C42×C73—41no—
129C2×C42×C73D411yescharacteristic
130C2×C42×C73D411yescharacteristic
131C2×C42×C73C2311yescharacteristic
132C2×C42×C73C2311yescharacteristic
133#95×C73—21no—
134#95×C73—21no—
135#95×C73—21no—
136#95×C73—21no—
137C2×Dic146—21no—
138C2×Dic146—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146C22×C412yes—
143C22×Dic73—21no—
144C22×Dic73—21no—
145C22×Dic73—21no—
146C22×Dic73—21no—
147#11924018—44no—
148#11924016—44no—
149C2×#10596831—21no—
150C2×#10596831—21no—
151C2×#10596831—21no—
152C2×#10596831—21no—
153C2×#10596831—21no—
154C2×#10596831—21no—
155C2×#10596831—21no—
156C2×#10596831—21no—
157C2×#10596831—21no—
158C2×#10596831—21no—
159C2×#10596831C22×C412yes—
160C2×#10596831C22×C412yes—
161C4⋊Dic73—21no—
162C4⋊Dic73—21no—
163C4⋊Dic73—21no—
164C4⋊Dic73—21no—
165C4⋊Dic73—21no—
166C4⋊Dic73C22×C412yes—
167#11924007—24no—
168#11924007—42no—
169#11924007—42no—
170C22⋊Dic73—24no—
171C22⋊Dic73—42no—
172C4×Dic73—42no—
173C4×Dic73—42no—
174C24×C73—21no—
175C24×C73C2×D411yescharacteristic
176#41×C73—44no—
177#41×C73—44no—
178#41×C73—44no—
179#41×C73—44no—
180C2×Q8×C73—21no—
181C2×Q8×C73—21no—
182C2×Q8×C73—21no—
183C2×Q8×C73—21no—
184C2×Q8×C73—21no—
185C2×Q8×C73C22×C412yes—
186C2×D4×C73—24no—
187C2×D4×C73—21no—
188C2×D4×C73—21no—
189C2×D4×C73—21no—
190C2×D4×C73—21no—
191C2×D4×C73—21no—
192C2×D4×C73—42no—
193C2×D4×C73—42no—
194C2×D4×C73C22×C412yes—
195C22×C4×C73—21no—
196C22×C4×C73—21no—
197C22×C4×C73—21no—
198C22×C4×C73—21no—
199C22×C4×C73—21no—
200C22×C4×C73—24no—
201C22×C4×C73—22no—
202C22×C4×C73—22no—
203C22×C4×C73—22no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—41no—
207C22×C4×C73—41no—
208C22×C4×C73—41no—
209C22×C4×C73—42no—
210C22×C4×C73—42no—
211C22×C4×C73C22×C412yes—
212C22×C4×C73C2×D411yescharacteristic
213C22×C4×C73C2×D411yescharacteristic
214C22×C4×C73C2×D411yescharacteristic
215C22×C4×C73C2×D411yescharacteristic
216C22×C4×C73C2×D411yescharacteristic
217C22×C4×C73#4112yes—
218C22×C4×C73C2411yescharacteristic
219C4⋊C4×C73—21no—
220C4⋊C4×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C22⋊C4×C73—42no—
224C22⋊C4×C73—42no—
225C22⋊C4×C73—42no—
226C22⋊C4×C73—42no—
227C22⋊C4×C73—42no—
228C42×C73—21no—
229C42×C73—21no—
230C42×C73—21no—
231C42×C73—21no—
232C42×C73—41no—
233C42×C73—41no—
234C42×C73—42no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73—21no—
238C23×C73—21no—
239C23×C73—21no—
240C23×C73—21no—
241C23×C73—22no—
242C23×C73—41no—
243C23×C73—41no—
244C23×C73—41no—
245C23×C73—41no—
246C23×C73—41no—
247C23×C73—41no—
248C23×C73C4×D412yes—
249C23×C73C22×D411yescharacteristic
250Q8×C73—22no—
251Q8×C73—22no—
252Q8×C73—41no—
253Q8×C73—41no—
254D4×C73—22no—
255D4×C73—22no—
256D4×C73—48no—
257D4×C73—41no—
258D4×C73—41no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—22no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—22no—
271C2×C4×C73—22no—
272C2×C4×C73—21no—
273C2×C4×C73—21no—
274C2×C4×C73—21no—
275C2×C4×C73—44no—
276C2×C4×C73—44no—
277C2×C4×C73—48no—
278C2×C4×C73—41no—
279C2×C4×C73—41no—
280C2×C4×C73—41no—
281C2×C4×C73—41no—
282C2×C4×C73—41no—
283C2×C4×C73—41no—
284C2×C4×C73—41no—
285C2×C4×C73—41no—
286C2×C4×C73C4×D412yes—
287C2×C4×C73#13512yes—
288C2×C4×C73#13512yes—
289C2×C4×C73#13712yes—
290C2×C4×C73C23×C411yescharacteristic
291C2×C4×C73C2×#4111yescharacteristic
292C2×C4×C73H(5,𝔽2)11yescharacteristic
293C2×C4×C73H(5,𝔽2)11yescharacteristic
294C2×C4×C73H(5,𝔽2)11yescharacteristic
295C2×C4×C73H(5,𝔽2)11yescharacteristic
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—41no—
299C2×Dic73—41no—
300C2×Dic73—41no—
301C2×Dic73—41no—
302C2×Dic73—41no—
303C2×Dic73—41no—
304C2×Dic73—41no—
305C2×Dic73—41no—
306C2×Dic73—41no—
307C2×Dic73—41no—
308Dic146—22no—
309Dic146—22no—
310Dic146—41no—
311Dic146—41no—
312#10596831—22no—
313#10596831—22no—
314#10596831—41no—
315#10596831—41no—
316C22×C73—22no—
317C22×C73—22no—
318C22×C73—22no—
319C22×C73—41no—
320C22×C73—41no—
321C22×C73—41no—
322C22×C73—41no—
323C22×C73—42no—
324C22×C73—42no—
325C22×C73—42no—
326C22×C73—81no—
327C22×C73—81no—
328C22×C73—81no—
329C22×C73—81no—
330C22×C73C2×C4×D411yescharacteristic
331C22×C73#53411yescharacteristic
332C22×C73#53511yescharacteristic
333C22×C73C2×#13511yescharacteristic
334C22×C73C2×#13511yescharacteristic
335C22×C73C2×#13711yescharacteristic
336C22×C73#57511yescharacteristic
337C4×C73—22no—
338C4×C73—22no—
339C4×C73—22no—
340C4×C73—22no—
341C4×C73—42no—
342C4×C73—41no—
343C4×C73—81no—
344C4×C73—81no—
345C4×C73#51811yescharacteristic
346C4×C73#51811yescharacteristic
347C4×C73#53811yescharacteristic
348C4×C73#53811yescharacteristic
349Dic73—42no—
350Dic73—42no—
351Dic73—81no—
352Dic73—81no—
353#22042—731nomaximal, Sylow
354C2×C73—42no—
355C2×C73—82no—
356C2×C73#232111yescharacteristic
357C2×C73C4×#13511yescharacteristic
358C2×C73C4×#13711yescharacteristic
359C2×C73#319011yescharacteristic
360C2×C73#319111yescharacteristic
361C2×C73#321011yescharacteristic
362C2×C73#321211yescharacteristic
363C2×#452—731no—
364C4×C22⋊Q8—731no—
365#2297D7311yescharacteristic
366#1969—731no—
367#1968—731no—
368#1934—731no—
369#1933—731no—
370#1927—731no—
371#1925—731no—
372#1880—731no—
373#1878—731no—
374#1873—731no—
375#1854—731no—
376#1788—731no—
377C4×C22⋊C8—731no—
378C73#2204211yescharacteristic, complemented, Sylow
379C22×#41C2×D7311yescharacteristic
380C22×Q16—731no—
381C22×SD16—731no—
382C2×C22⋊Q8—731no—
383C2×C4×Q8—731no—
384C2×#117C2×D7311yescharacteristic
385C22×C42C2×D7311yescharacteristic
386#452—738no—
387C2×#107—731no—
388C2×#106—731no—
389C2×#103—731no—
390C2×#103—731no—
391C2×#103—731no—
392C2×#103—731no—
393C2×#103—731no—
394C2×#102—731no—
395C2×#102—731no—
396C2×#102—731no—
397C2×C22⋊C8—731no—
398C2×C22⋊C8—731no—
399C2×C4×C8—731no—
400C2×C4×C8—731no—
401#391—731no—
402#391C2×D7311yescharacteristic
403#391C2×D7311yescharacteristic
404#390C2×D7311yescharacteristic
405#390C2×D7311yescharacteristic
406#389—731no—
407#387—1461no—
408#386—21no—
409#386—21no—
410#385—1461no—
411#380—731no—
412C4×C4⋊C4—731no—
413C4×C4⋊C4—1461no—
414C4×C22⋊C4—21no—
415C4×C22⋊C4—21no—
416C4×C22⋊C4—1461no—
417#340—731no—
418#340—731no—
419#340—731no—
420#340—731no—
421#336—731no—
422#336—731no—
423C2×#41—22no—
424C2×#41—41no—
425C2×#41—41no—
426C2×#41—41no—
427C2×#41—41no—
428C2×#41C4×D7314yes—
429C22×Q8—731no—
430C22×Q8C22×D7311yescharacteristic
431C22×D4—21no—
432C22×D4C22×D7311yescharacteristic
433C23×C4—21no—
434C23×C4C22⋊D7311yescharacteristic
435C23×C4C22⋊D7311yescharacteristic
436C23×C4C22×D7311yescharacteristic
437C2×Q16—2921no—
438C2×Q16—2921no—
439C2×Q16—734no—
440C2×SD16—2921no—
441C2×SD16—2921no—
442C2×SD16—734no—
443C22×C8—731no—
444C22×C8—731no—
445C22×C8—731no—
446C22×C8—731no—
447C22⋊Q8—734no—
448C22⋊Q8—1462no—
449C4×Q8—2921no—
450C4×Q8—2921no—
451#117—41no—
452#117—41no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—1461no—
457C2×C4⋊C4—1461no—
458C2×C4⋊C4—1461no—
459C2×C4⋊C4C22×D7311yescharacteristic
460C2×C4⋊C4C22×D7311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1461no—
467C2×C22⋊C4—1461no—
468C2×C42—21no—
469C2×C42—41no—
470C2×C42—41no—
471C2×C42—1461no—
472C2×C42—1461no—
473C2×C42C22⋊D7311yescharacteristic
474C2×C42C22⋊D7311yescharacteristic
475C2×C42C22×D7311yescharacteristic
476C2×C42C22×D7311yescharacteristic
477#107—2921no—
478#106—2921no—
479#103—2921no—
480#103—2921no—
481#103—2921no—
482#103—2921no—
483#103—734no—
484#102—2921no—
485#102—2921no—
486#102—734no—
487C22⋊C8—734no—
488C22⋊C8—1462no—
489C4×C8—2921no—
490C4×C8—2921no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—1461no—
496#95—1461no—
497#95—1461no—
498#95—1461no—
499#95—1461no—
500C24—21no—
501C24C2×C22⋊D7311yescharacteristic
502#41—44no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—732no—
512C2×Q8—1461no—
513C2×Q8—1461no—
514C2×Q8—1461no—
515C2×Q8—1461no—
516C2×Q8—1461no—
517C2×Q8C2×C4×D7312yes—
518C2×D4—24no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4C2×C4×D7312yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—24no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—1461no—
544C22×C4—1461no—
545C22×C4—1461no—
546C22×C4—1461no—
547C22×C4C2×C4×D7312yes—
548C22×C4C2×C22⋊D7311yescharacteristic
549C22×C4C2×C22⋊D7311yescharacteristic
550C22×C4C2×C22⋊D7311yescharacteristic
551C22×C4C2×C22⋊D7311yescharacteristic
552C22×C4C2×C22⋊D7311yescharacteristic
553C22×C4#1192402812yes—
554C22×C4C23×D7311yescharacteristic
555Q16—2924no—
556SD16—2924no—
557C2×C8—732no—
558C2×C8—732no—
559C2×C8—1461no—
560C2×C8—1461no—
561C2×C8—1461no—
562C2×C8—1461no—
563C2×C8—1461no—
564C2×C8—1461no—
565C2×C8—1461no—
566C2×C8—1461no—
567C2×C8—1461no—
568C2×C8—1461no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—2922no—
574C4⋊C4—2922no—
575C4⋊C4—732no—
576C4⋊C4—1461no—
577C4⋊C4—1461no—
578C4⋊C4—1461no—
579C4⋊C4—1461no—
580C4⋊C4—1464no—
581C4⋊C4—1461no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—2922no—
588C22⋊C4—1464no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—42no—
596C42—2922no—
597C42—2922no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23C4×C22⋊D7312yes—
612C23C22×C22⋊D7311yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—2921no—
618Q8—2921no—
619Q8—1462no—
620Q8—1462no—
621D4—22no—
622D4—22no—
623D4—48no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—44no—
643C2×C4—48no—
644C2×C4—44no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—2921no—
654C2×C4—2921no—
655C2×C4—2921no—
656C2×C4—2921no—
657C2×C4—2921no—
658C2×C4—2921no—
659C2×C4—2921no—
660C2×C4—2921no—
661C2×C4—2921no—
662C2×C4—2921no—
663C2×C4—1462no—
664C2×C4—1462no—
665C2×C4C4×C22⋊D7312yes—
666C2×C4#1455661112yes—
667C2×C4#1455661112yes—
668C2×C4#1455662112yes—
669C2×C4C22×C4×D7311yescharacteristic
670C2×C4C2×#1192402811yescharacteristic
671C2×C4#1455663611yescharacteristic
672C2×C4#1455663611yescharacteristic
673C2×C4#1455663611yescharacteristic
674C2×C4#1455663611yescharacteristic
675C8—2921no—
676C8—2921no—
677C8—1462no—
678C8—1462no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C2×C4×C22⋊D7311yescharacteristic
694C22#1798914611yescharacteristic
695C22#1798915411yescharacteristic
696C22C2×#1455661111yescharacteristic
697C22C2×#1455661111yescharacteristic
698C22C2×#1455662111yescharacteristic
699C22#1798938511yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—41no—
705C4—42no—
706C4—81no—
707C4—81no—
708C4—2922no—
709C4—2922no—
710C4—5841no—
711C4—5841no—
712C4#1798906011yescharacteristic
713C4#1798906011yescharacteristic
714C4#1798917511yescharacteristic
715C4#1798917511yescharacteristic
716C2—42no—
717C2—82no—
718C2#2261258911yescharacteristic
719C2C4×#1455661111yescharacteristic
720C2C4×#1455662111yescharacteristic
721C2#2262070811yescharacteristic
722C2#2262071911yescharacteristic
723C2#2262088711yescharacteristic
724C2#2262090711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2297C2
socleC23×C73C22×D4
prime radicalC22×#41×C73C22
cosocleC22×C4×C73C24
hypercenter#2297D73
hypocenterC73#22042
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2297

Complements

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

NH ≅ G/Ntype
2. C4×#14556570C2semidirect
3. #22610791C2semidirect
4. #22610784C2semidirect
5. #22610617C2semidirect
6. #22610610C2semidirect
7. #22610562C2semidirect
8. #22610548C2semidirect
9. #22610289C2semidirect
10. #22610275C2semidirect
11. #22610243C2semidirect
12. #22610130C2semidirect
14. C4×C22⋊#10596831C2semidirect
20. #17988749C4semidirect
63. C2×#11924018C2×C4semidirect
66. C2×#11924016C2×C4semidirect
89. #14556515C2×C4semidirect
94. #14556512C2×C4semidirect
378. C73#22042semidirect

Maximal subgroups

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

subgroupindex
C2×#179887492
C4×#145565702
#226107912
#226107842
#226106172
#226106102
#226105622
#226105482
#226102892
#226102752
#226102432
#226101302
#226098712
C4×C22⋊#105968312
C73×#22972
#2204273