Finite Group Databasebeta

← #34026379

Subgroups — #34026379

Order 18688.

1036 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989639C211yesmaximal, characteristic, complemented
2C2×#17989637C211yesmaximal, characteristic, complemented
3#22626105C211yesmaximal, characteristic, complemented
4#22626104C211yesmaximal, characteristic, complemented
5#22626104C211yesmaximal, characteristic, complemented
6#22626104C211yesmaximal, characteristic, complemented
7#22626102C211yesmaximal, characteristic, complemented
8#22626100C211yesmaximal, characteristic, complemented
9#22625789C211yesmaximal, characteristic
10#22625789C211yesmaximal, characteristic
11#22625785C211yesmaximal, characteristic
12#22625661C211yesmaximal, characteristic
13#22625661C211yesmaximal, characteristic
14#22625657C211yesmaximal, characteristic
15C2×#17989139C211yesmaximal, characteristic
16#17989639—24no—
17#17989637—24no—
18C2×#14556658C2211yescharacteristic
19C2×#14556658C2211yescharacteristic
20C2×C4⋊#10596833C2211yescharacteristic
21C2×C4⋊#10596833C2211yescharacteristic
22C2×C4⋊#10596833C2211yescharacteristic
23C2×C4⋊#10596833C2211yescharacteristic
24C2×C22⋊#10596833C2211yescharacteristic
25C2×C22⋊#10596833C2211yescharacteristic
26C2×C22⋊#10596833C2211yescharacteristic
27C2×C22⋊#10596833C2211yescharacteristic
28C2×#14556646C2211yescharacteristic
29C2×#14556646C2211yescharacteristic
30C2×#14556646C2211yescharacteristic
31C2×#14556646C2211yescharacteristic
32C2×C4×#10596833C2211yescharacteristic
33C2×C4×#10596833C2211yescharacteristic
34#17989453C2211yescharacteristic
35#17989453C2211yescharacteristic
36#17989453C2211yescharacteristic
37#17989453C2211yescharacteristic
38#17989453C2211yescharacteristic
39#17989453C2211yescharacteristic
40#17989453C2211yescharacteristic
41#17989453C2211yescharacteristic
42#17989453C2211yescharacteristic
43#17989453C2211yescharacteristic
44#17989453C2211yescharacteristic
45#17989453C2211yescharacteristic
46#17989139—24no—
47#17989139—24no—
48C2×#14556590C411yescharacteristic
49C2×#14556589C411yescharacteristic
50C2×#14556581C411yescharacteristic
51C2×#14556581C411yescharacteristic
52C2×#14556570C411yescharacteristic
53C2×#14556568C411yescharacteristic
54C2×#14556568C411yescharacteristic
55C2×Q8×Dic73C2211yescharacteristic
56C2×#14556556C2211yescharacteristic
57C2×#14556556C2211yescharacteristic
58C2×#14556556C2211yescharacteristic
59C2×#14556547C2211yescharacteristic
60C2×#14556547C2211yescharacteristic
61C22×C4×Dic73C2211yescharacteristic
62C2×C22⋊Q8×C73C411yescharacteristic
63C22×#10596833C2311yescharacteristic
64C22×#10596833C2311yescharacteristic
65C22×#10596833C2311yescharacteristic
66C22×#10596833C2311yescharacteristic
67C22×#10596833C2311yescharacteristic
68C22×#10596833C2311yescharacteristic
69C22×#10596833C2311yescharacteristic
70C22×#10596833C2311yescharacteristic
71#14556658—22no—
72#14556658—22no—
73C4⋊#10596833—22no—
74C4⋊#10596833—22no—
75C4⋊#10596833—22no—
76C4⋊#10596833—22no—
77C22⋊#10596833—22no—
78C22⋊#10596833—22no—
79C22⋊#10596833—22no—
80C22⋊#10596833Q814yescomplemented
81#14556646—22no—
82#14556646—22no—
83#14556646—22no—
84#14556646—22no—
85C4×#10596833—22no—
86C4×#10596833—22no—
87C22×Dic146C2×C411yescharacteristic
88C22×Dic146C2×C411yescharacteristic
89C22×Dic146C2×C411yescharacteristic
90C23×Dic73C2×C411yescharacteristic
91C23×Dic73C2311yescharacteristic
92#14556590—24no—
93#14556589—24no—
94#14556581—24no—
95#14556581—24no—
96#14556570—24no—
97#14556568—24no—
98#14556568—24no—
99Q8×Dic73—22no—
100Q8×Dic73—22no—
101#14556556—22no—
102#14556556—22no—
103#14556556—22no—
104#14556556—22no—
105#14556556D414yes—
106#14556556D414yes—
107#14556547—22no—
108#14556547—22no—
109#14556547—22no—
110#14556547—22no—
111C2×C4⋊Dic73C2×C411yescharacteristic
112C2×C4⋊Dic73C2×C411yescharacteristic
113C2×C4⋊Dic73C2×C411yescharacteristic
114C2×#11924007C2×C411yescharacteristic
115C2×#11924007C2×C411yescharacteristic
116C2×#11924007C2×C411yescharacteristic
117C2×#11924007C2×C411yescharacteristic
118C2×#11924007C2×C411yescharacteristic
119C2×#11924007C2×C411yescharacteristic
120C2×#11924007C2×C411yescharacteristic
121C2×#11924007C2×C411yescharacteristic
122C2×#11924007C2×C411yescharacteristic
123C2×#11924007C2×C411yescharacteristic
124C2×C22⋊Dic73C2×C411yescharacteristic
125C2×C22⋊Dic73C2×C411yescharacteristic
126C2×C4×Dic73—22no—
127C2×C4×Dic73—22no—
128C2×C4×Dic73C2×C411yescharacteristic
129C2×C4×Dic73C2×C411yescharacteristic
130C2×C4×Dic73C2311yescharacteristic
131C2×C4×Dic73C2311yescharacteristic
132C2×C4×Dic73C2311yescharacteristic
133C2×C4×Dic73C2311yescharacteristic
134C2×C4×Dic73C2311yescharacteristic
135C2×C4×Dic73C2311yescharacteristic
136C22×Q8×C73C2×C411yescharacteristic
137C23×C4×C73C2×C411yescharacteristic
138C22⋊Q8×C73—24no—
139C2×C4⋊C4×C73C2×C411yescharacteristic
140C2×C4⋊C4×C73C2×C411yescharacteristic
141C2×C4⋊C4×C73C2×C411yescharacteristic
142C2×C22⋊C4×C73C2×C411yescharacteristic
143C2×C22⋊C4×C73C2×C411yescharacteristic
144C2×#10596833—21no—
145C2×#10596833—21no—
146C2×#10596833—21no—
147C2×#10596833—21no—
148C2×#10596833—21no—
149C2×#10596833—21no—
150C2×#10596833—21no—
151C2×#10596833—21no—
152C2×#10596833—21no—
153C2×#10596833—21no—
154C2×#10596833—21no—
155C2×#10596833—21no—
156C2×#10596833—21no—
157C2×#10596833—21no—
158C2×#10596833—21no—
159C2×#10596833—21no—
160C2×#10596833—21no—
161C2×#10596833—21no—
162C2×#10596833—21no—
163C2×#10596833—21no—
164C2×#10596833—21no—
165C2×#10596833—21no—
166C2×#10596833C2×Q812yes—
167C2×#10596833C2×Q812yes—
168C2×Dic146—22no—
169C2×Dic146—22no—
170C2×Dic146—22no—
171C2×Dic146—41no—
172C2×Dic146—41no—
173C2×Dic146—41no—
174C2×Dic146—41no—
175C2×Dic146—41no—
176C2×Dic146C22⋊C414yes—
177C22×Dic73—21no—
178C22×Dic73—21no—
179C22×Dic73—21no—
180C22×Dic73—21no—
181C22×Dic73—22no—
182C22×Dic73—41no—
183C22×Dic73—41no—
184C22×Dic73C22×C411yescharacteristic
185C22×Dic73C22×C411yescharacteristic
186C22×Dic73C22×C411yescharacteristic
187C22×Dic73C22×C411yescharacteristic
188C22×Dic73C22×C411yescharacteristic
189C22×Dic73C22×C411yescharacteristic
190C22×Dic73C22×C411yescharacteristic
191C22×Dic73C2×Q812yes—
192C22×Dic73#4112yes—
193C22×Dic73C2411yescharacteristic
194C4⋊Dic73—22no—
195C4⋊Dic73—22no—
196C4⋊Dic73—22no—
197#11924007—22no—
198#11924007—22no—
199#11924007—22no—
200#11924007—22no—
201#11924007—22no—
202#11924007—22no—
203#11924007—22no—
204#11924007—22no—
205#11924007C22⋊C414yes—
206#11924007C22⋊C414yes—
207C22⋊Dic73—22no—
208C22⋊Dic73—22no—
209C4×Dic73—22no—
210C4×Dic73—22no—
211C4×Dic73—21no—
212C4×Dic73—21no—
213C4×Dic73—21no—
214C4×Dic73—21no—
215C4×Dic73—21no—
216C4×Dic73—21no—
217C4×Dic73C2×D412yes—
218C4×Dic73C2×D412yes—
219C4×Dic73C2×D412yes—
220C4×Dic73C2×D412yes—
221C4×Dic73C2×D412yes—
222C4×Dic73C2×D412yes—
223C24×C73C22×C411yescharacteristic
224C2×Q8×C73—22no—
225C2×Q8×C73—22no—
226C2×Q8×C73—41no—
227C22×C4×C73—22no—
228C22×C4×C73—22no—
229C22×C4×C73—41no—
230C22×C4×C73C22×C411yescharacteristic
231C22×C4×C73C22×C411yescharacteristic
232C22×C4×C73C22×C411yescharacteristic
233C22×C4×C73C22×C411yescharacteristic
234C22×C4×C73C22×C411yescharacteristic
235C22×C4×C73C22×C411yescharacteristic
236C4⋊C4×C73—22no—
237C4⋊C4×C73—22no—
238C4⋊C4×C73C22⋊C414yes—
239C22⋊C4×C73—22no—
240C22⋊C4×C73—22no—
241C23×C73—21no—
242C23×C73—21no—
243C23×C73—21no—
244C23×C73—21no—
245C23×C73—21no—
246C23×C73—21no—
247C23×C73C4×Q812yes—
248C23×C73C23×C411yescharacteristic
249Q8×C73—44no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—44no—
265C2×C4×C73C2×C22⋊C412yes—
266C2×C4×C73C2×C22⋊C412yes—
267C2×C4×C73C2×C22⋊C412yes—
268C2×C4×C73#13112yes—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—22no—
278C2×Dic73—22no—
279C2×Dic73—22no—
280C2×Dic73—22no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—21no—
287C2×Dic73—21no—
288C2×Dic73—21no—
289C2×Dic73—21no—
290C2×Dic73—44no—
291C2×Dic73C2×C22⋊C412yes—
292C2×Dic73C2×C22⋊C412yes—
293C2×Dic73C2×C22⋊C412yes—
294C2×Dic73C4×Q812yes—
295C2×Dic73C22×D411yescharacteristic
296C2×Dic73C22×D411yescharacteristic
297C2×Dic73C22×Q811yescharacteristic
298C2×Dic73C2×#4111yescharacteristic
299C2×Dic732−1+411yescharacteristic
300C2×Dic732−1+411yescharacteristic
301Dic146—44no—
302Dic146—44no—
303Dic146—44no—
304#10596833—22no—
305#10596833—22no—
306#10596833—41no—
307#10596833—41no—
308#10596833—41no—
309#10596833—41no—
310#10596833—41no—
311#10596833—41no—
312C22×C73—22no—
313C22×C73—22no—
314C22×C73—22no—
315C22×C73—41no—
316C22×C73—41no—
317C22×C73—41no—
318C22×C73—41no—
319C22×C73C22×C22⋊C411yescharacteristic
320C22×C73C2×C4×Q811yescharacteristic
321C22×C73#51911yescharacteristic
322C22×C73C2×#13111yescharacteristic
323C22×C73#56811yescharacteristic
324C22×C73#56811yescharacteristic
325C22×C73#56811yescharacteristic
326C4×C73—22no—
327C4×C73—22no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—41no—
331C4×C73—41no—
332Dic73—22no—
333Dic73—22no—
334Dic73—22no—
335Dic73—22no—
336Dic73—41no—
337Dic73—41no—
338Dic73—41no—
339Dic73#54811yescharacteristic
340Dic73#54811yescharacteristic
341Dic73D4×Q811yescharacteristic
342Dic73D4×Q811yescharacteristic
343#22511—731nomaximal, Sylow
344C2×C73—42no—
345C2×C73Q8×C22⋊C411yescharacteristic
346C2×C73#287911yescharacteristic
347C2×C73#288011yescharacteristic
348C2×C73#296111yescharacteristic
349C2×C73#296211yescharacteristic
350C2×C73#298511yescharacteristic
351C2×C73#298711yescharacteristic
352C2×#533—731no—
353C2×#446—731no—
354C2×#446—731no—
355#1985—731no—
356#1985—731no—
357#1985—731no—
358#1985—731no—
359#1984—731no—
360#1984—731no—
361#1798—731no—
362#1798—731no—
363#1797—731no—
364#1750—731no—
365#1750—731no—
366#1749—731no—
367C73#2251111yescharacteristic, complemented, Sylow
368#533—1464no—
369#533—1464no—
370C2×C4⋊Q8—731no—
371C2×C4⋊Q8—731no—
372C2×#125—731no—
373C2×#125—731no—
374C2×C22⋊Q8—731no—
375C2×C22⋊Q8—731no—
376C2×C22⋊Q8—731no—
377C2×C22⋊Q8#6440811yescharacteristic
378C2×C4×Q8—731no—
379C2×C4×Q8—731no—
380C2×C4×Q8—731no—
381C2×C4×Q8—731no—
382C2×#117—731no—
383C2×#117—731no—
384C22×C42—731no—
385#446—1464no—
386#446—1464no—
387C2×C4⋊C8—731no—
388C2×C4⋊C8—731no—
389C2×C4⋊C8—731no—
390C2×C4⋊C8—731no—
391C2×C4⋊C8—731no—
392C2×C4⋊C8—731no—
393C2×C22⋊C8—731no—
394C2×C22⋊C8—731no—
395C2×C22⋊C8—731no—
396C2×C22⋊C8—731no—
397C2×#97—731no—
398C2×#97—731no—
399C2×#97—731no—
400C2×#97—731no—
401C2×C4×C8—731no—
402C2×C4×C8—731no—
403#336—731no—
404#336—731no—
405#336—731no—
406#336—731no—
407#336—731no—
408#336—731no—
409#336—731no—
410#336—731no—
411#336—731no—
412#336—731no—
413#336—731no—
414#336—731no—
415C22×Q8—731no—
416C22×Q8—731no—
417C22×Q8—731no—
418C22×Q8C2×#6440811yescharacteristic
419C23×C4—731no—
420C23×C4—731no—
421C23×C4C2×#6440811yescharacteristic
422C22×C8—731no—
423C22×C8—731no—
424C22×C8—731no—
425C22×C8—731no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430C4⋊Q8—1464no—
431C4⋊Q8—1464no—
432#125—1464no—
433#125—1464no—
434C22⋊Q8—24no—
435C22⋊Q8—1464no—
436C22⋊Q8—1464no—
437C22⋊Q8—1464no—
438C4×Q8—734no—
439C4×Q8—734no—
440C4×Q8—1462no—
441C4×Q8—1462no—
442C4×Q8—1462no—
443C4×Q8—1462no—
444C4×Q8—1462no—
445C4×Q8—1462no—
446#117—1462no—
447#117—1462no—
448#117—1462no—
449#117—1462no—
450C2×C4⋊C4—731no—
451C2×C4⋊C4—731no—
452C2×C4⋊C4—731no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4—731no—
458C2×C4⋊C4—731no—
459C2×C4⋊C4—731no—
460C2×C4⋊C4—731no—
461C2×C4⋊C4—731no—
462C2×C4⋊C4—731no—
463C2×C4⋊C4C2×#6440811yescharacteristic
464C2×C4⋊C4C2×#6440811yescharacteristic
465C2×C4⋊C4C2×#6440811yescharacteristic
466C2×C22⋊C4—731no—
467C2×C22⋊C4—731no—
468C2×C22⋊C4C2×#6440811yescharacteristic
469C2×C22⋊C4C2×#6440811yescharacteristic
470C2×C42—731no—
471C2×C42—731no—
472C2×C42—731no—
473C2×C42—731no—
474C2×C42—731no—
475C2×C42—731no—
476C2×C42—731no—
477C2×C42—731no—
478C2×C42—1462no—
479C2×C42—1462no—
480C4⋊C8—1462no—
481C4⋊C8—1462no—
482C4⋊C8—1462no—
483C4⋊C8—1462no—
484C4⋊C8—1462no—
485C4⋊C8—1462no—
486C22⋊C8—734no—
487C22⋊C8—1462no—
488C22⋊C8—1462no—
489C22⋊C8—1462no—
490#97—1462no—
491#97—1462no—
492#97—1462no—
493#97—1462no—
494C4×C8—1462no—
495C4×C8—1462no—
496C24C22×#6440811yescharacteristic
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—41no—
500C2×Q8—2921no—
501C2×Q8—2921no—
502C2×Q8—2921no—
503C2×Q8—2921no—
504C2×Q8—2921no—
505C2×Q8—734no—
506C2×Q8—1462no—
507C2×Q8—1462no—
508C2×Q8—1462no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—41no—
512C22×C4—2921no—
513C22×C4—2921no—
514C22×C4—731no—
515C22×C4—732no—
516C22×C4—732no—
517C22×C4—731no—
518C22×C4—731no—
519C22×C4—731no—
520C22×C4—731no—
521C22×C4—731no—
522C22×C4—731no—
523C22×C4—731no—
524C22×C4—1462no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4C22×#6440811yescharacteristic
530C22×C4C22×#6440811yescharacteristic
531C22×C4C22×#6440811yescharacteristic
532C22×C4C22×#6440811yescharacteristic
533C22×C4C22×#6440811yescharacteristic
534C22×C4C22×#6440811yescharacteristic
535C2×C8—732no—
536C2×C8—732no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C2×C8—1461no—
553C2×C8—1461no—
554C2×C8—1461no—
555C2×C8—1461no—
556C2×C8—1461no—
557C2×C8—1461no—
558C2×C8—1461no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—734no—
562C4⋊C4—734no—
563C4⋊C4—1462no—
564C4⋊C4—1462no—
565C4⋊C4—1462no—
566C4⋊C4—1462no—
567C4⋊C4—1462no—
568C4⋊C4—1462no—
569C4⋊C4—1462no—
570C4⋊C4—1462no—
571C4⋊C4—1462no—
572C4⋊C4—1462no—
573C4⋊C4—1462no—
574C4⋊C4C22⋊#6440814yes—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—1462no—
578C22⋊C4—1462no—
579C42—732no—
580C42—732no—
581C42—732no—
582C42—732no—
583C42—732no—
584C42—732no—
585C42—1461no—
586C42—1461no—
587C42—1462no—
588C42—1461no—
589C42—1461no—
590C42—1461no—
591C42—1461no—
592C42—1462no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23Q8×#6440812yes—
600C23C23×#6440811yescharacteristic
601Q8—44no—
602Q8—2924no—
603Q8—2924no—
604Q8—2924no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—44no—
620C2×C4—2924no—
621C2×C4—731no—
622C2×C4—731no—
623C2×C4—731no—
624C2×C4—731no—
625C2×C4—731no—
626C2×C4—731no—
627C2×C4—732no—
628C2×C4—732no—
629C2×C4—732no—
630C2×C4—732no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1461no—
634C2×C4—1461no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1461no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4—1461no—
651C2×C4—1461no—
652C2×C4C2×C22⋊#6440812yes—
653C2×C4C2×C22⋊#6440812yes—
654C2×C4C2×C22⋊#6440812yes—
655C2×C4#1455667812yes—
656C8—2921no—
657C8—2921no—
658C8—2921no—
659C8—2921no—
660C8—2921no—
661C8—2921no—
662C8—1462no—
663C8—1462no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22C22×C22⋊#6440811yescharacteristic
672C22C2×Q8×#6440811yescharacteristic
673C22#1798965511yescharacteristic
674C22C2×#1455667811yescharacteristic
675C22#1798966511yescharacteristic
676C22#1798966611yescharacteristic
677C22#1798966611yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—41no—
683C4—41no—
684C4—2921no—
685C4—2921no—
686C4—2921no—
687C4—731no—
688C4—731no—
689C4—731no—
690C4—731no—
691C4—1462no—
692C4—1462no—
693C4—1462no—
694C4—1462no—
695C2—42no—
696C2Q8×C22⋊#6440811yescharacteristic
697C2#2262651611yescharacteristic
698C2#2262651911yescharacteristic
699C2#2262672211yescharacteristic
700C2#2262672611yescharacteristic
701C2#2262683511yescharacteristic
702C2#2262684311yescharacteristic
subgroupG/H
center, FrattiniC23C23×#64408
commutator, socleC23×C73C23×C4
FittingC2×C22⋊Q8×C73C4
prime radicalC24×C73C22×C4
cosocleC22×Dic73C24
hypercenterC2×C22⋊Q8#64408
hypocenterC73#22511
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#17989639C2semidirect
2. C2×#17989637C2semidirect
3. #22626105C2semidirect
4. #22626104C2semidirect
5. #22626104C2semidirect
6. #22626104C2semidirect
7. #22626102C2semidirect
8. #22626100C2semidirect
80. C22⋊#10596833Q8semidirect
367. C73#22511semidirect

Maximal subgroups

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

subgroupindex
C2×#179896392
C2×#179896372
#226261052
#226261042
#226261022
#226261002
#226257892
#226257852
#226256612
#226256572
C2×#179891392
#2251173