Finite Group Databasebeta

← #33112112

Subgroups — #33112112

Order 18688.

764 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22610730C211yesmaximal, characteristic
2#22610655C211yesmaximal, characteristic, complemented
3#22610650C211yesmaximal, characteristic, complemented
4#22610546C211yesmaximal, characteristic, complemented
5#22610546C211yesmaximal, characteristic, complemented
6#22610539C211yesmaximal, characteristic, complemented
7#22610539C211yesmaximal, characteristic, complemented
8#22610497C211yesmaximal, characteristic, complemented
9#22610497C211yesmaximal, characteristic, complemented
10#22610224C211yesmaximal, characteristic
11#22610111C211yesmaximal, characteristic, complemented
12#22610111C211yesmaximal, characteristic, complemented
13#22609911C211yesmaximal, characteristic, complemented
14#22609911C211yesmaximal, characteristic, complemented
15C4×#123×C73C211yesmaximal, characteristic
16C23×#10596831C2211yescharacteristic
17C2×C4⋊#10596831C2211yescharacteristic
18C2×C4⋊#10596831C2211yescharacteristic
19C2×C4⋊#10596831C2211yescharacteristic
20C2×C4⋊#10596831C2211yescharacteristic
21C2×C4⋊#10596831C2211yescharacteristic
22C2×C4⋊#10596831C2211yescharacteristic
23C2×C4⋊#10596831C2211yescharacteristic
24C2×C22⋊#10596831C2211yescharacteristic
25C2×C22⋊#10596831C2211yescharacteristic
26C2×C22⋊#10596831C2211yescharacteristic
27C2×C22⋊#10596831C2211yescharacteristic
28C2×C22⋊#10596831C2211yescharacteristic
29C2×C22⋊#10596831C2211yescharacteristic
30C2×C22⋊#10596831C2211yescharacteristic
31C2×#14556502C2211yescharacteristic
32C2×#14556502C2211yescharacteristic
33C2×C4×#10596831C2211yescharacteristic
34#17988342C2211yescharacteristic
35#17988342C2211yescharacteristic
36#17988342C2211yescharacteristic
37#17988342C2211yescharacteristic
38#17988342C2211yescharacteristic
39#17988342C2211yescharacteristic
40#17988342C2211yescharacteristic
41#17988342C2211yescharacteristic
42#17988342C2211yescharacteristic
43#17988342C2211yescharacteristic
44C2×#123×C73C411yescharacteristic
45C2×C4×D4×C73C2211yescharacteristic
46C22×C42×C73C2211yescharacteristic
47#388×C73C411yescharacteristic
48#388×C73C411yescharacteristic
49#387×C73C411yescharacteristic
50#387×C73C411yescharacteristic
51#386×C73C411yescharacteristic
52#385×C73C411yescharacteristic
53#381×C73C411yescharacteristic
54C4×C4⋊C4×C73C2211yescharacteristic
55C4×C4⋊C4×C73C2211yescharacteristic
56C4×C22⋊C4×C73C2211yescharacteristic
57C4×C22⋊C4×C73C2211yescharacteristic
58C4×C22⋊C4×C73C2211yescharacteristic
59C22×#10596831—41no—
60C22×#10596831—41no—
61C22×#10596831—41no—
62C22×#10596831C2311yescharacteristic
63C22×#10596831C2311yescharacteristic
64C22×#10596831C2311yescharacteristic
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67C22×#10596831C2311yescharacteristic
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70C4⋊#10596831—41no—
71C4⋊#10596831—41no—
72C4⋊#10596831—41no—
73C4⋊#10596831—41no—
74C4⋊#10596831—41no—
75C4⋊#10596831—41no—
76C4⋊#10596831—41no—
77C22⋊#10596831—41no—
78C22⋊#10596831—41no—
79C22⋊#10596831—41no—
80C22⋊#10596831—41no—
81C22⋊#10596831—41no—
82C22⋊#10596831—41no—
83C22⋊#10596831—41no—
84#14556502—41no—
85#14556502—41no—
86C4×#10596831—41no—
87C22×D4×C73C2×C411yescharacteristic
88C23×C4×C73C2×C411yescharacteristic
89C23×C4×C73C2×C411yescharacteristic
90C23×C4×C73C2311yescharacteristic
91C23×C4×C73C2311yescharacteristic
92#123×C73—24no—
93C4×D4×C73—41no—
94C4×D4×C73—41no—
95C2×C4⋊C4×C73C2×C411yescharacteristic
96C2×C4⋊C4×C73C2×C411yescharacteristic
97C2×C4⋊C4×C73C2×C411yescharacteristic
98C2×C4⋊C4×C73C2×C411yescharacteristic
99C2×C4⋊C4×C73C2×C411yescharacteristic
100C2×C22⋊C4×C73C2×C411yescharacteristic
101C2×C22⋊C4×C73C2×C411yescharacteristic
102C2×C22⋊C4×C73C2×C411yescharacteristic
103C2×C22⋊C4×C73C2×C411yescharacteristic
104C2×C22⋊C4×C73C2×C411yescharacteristic
105C2×C22⋊C4×C73C2×C411yescharacteristic
106C2×C22⋊C4×C73C2×C411yescharacteristic
107C2×C22⋊C4×C73C2×C411yescharacteristic
108C2×C42×C73—41no—
109C2×C42×C73—41no—
110C2×C42×C73C2×C411yescharacteristic
111C2×C42×C73C2×C411yescharacteristic
112C2×C42×C73C2311yescharacteristic
113C2×C42×C73C2311yescharacteristic
114C2×C42×C73C2311yescharacteristic
115C2×C42×C73C2311yescharacteristic
116C2×C42×C73C2311yescharacteristic
117#95×C73C2×C411yescharacteristic
118#95×C73C2×C411yescharacteristic
119#95×C73C2×C411yescharacteristic
120#95×C73C2×C411yescharacteristic
121#95×C73C2×C411yescharacteristic
122#95×C73C2×C411yescharacteristic
123#95×C73C2×C411yescharacteristic
124#95×C73C2×C411yescharacteristic
125#95×C73C2×C411yescharacteristic
126#95×C73C2×C411yescharacteristic
127C2×#10596831—21no—
128C2×#10596831—21no—
129C2×#10596831—21no—
130C2×#10596831—21no—
131C2×#10596831—21no—
132C2×#10596831—21no—
133C2×#10596831—21no—
134C2×#10596831—21no—
135C2×#10596831—21no—
136C2×#10596831—21no—
137C2×#10596831—21no—
138C2×#10596831—21no—
139C2×#10596831—21no—
140C2×#10596831—21no—
141C2×#10596831—21no—
142C2×#10596831—21no—
143C2×#10596831—21no—
144C2×#10596831—21no—
145C2×#10596831—21no—
146C2×#10596831—21no—
147C2×#10596831—21no—
148C2×#10596831—21no—
149C2×#10596831—21no—
150C2×#10596831—21no—
151C2×#10596831—44no—
152C24×C73C22×C411yescharacteristic
153C24×C73C22×C411yescharacteristic
154C2×D4×C73—22no—
155C2×D4×C73—22no—
156C2×D4×C73—41no—
157C22×C4×C73—22no—
158C22×C4×C73—22no—
159C22×C4×C73—22no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—21no—
163C22×C4×C73—21no—
164C22×C4×C73—21no—
165C22×C4×C73—21no—
166C22×C4×C73—21no—
167C22×C4×C73—21no—
168C22×C4×C73—21no—
169C22×C4×C73—21no—
170C22×C4×C73—21no—
171C22×C4×C73—21no—
172C22×C4×C73—41no—
173C22×C4×C73—41no—
174C22×C4×C73—41no—
175C22×C4×C73C22×C411yescharacteristic
176C22×C4×C73C22×C411yescharacteristic
177C22×C4×C73C22×C411yescharacteristic
178C22×C4×C73C22×C411yescharacteristic
179C22×C4×C73C22×C411yescharacteristic
180C22×C4×C73C22×C411yescharacteristic
181C22×C4×C73C22×C411yescharacteristic
182C22×C4×C73C22×C411yescharacteristic
183C22×C4×C73C22×C411yescharacteristic
184C22×C4×C73C22×C411yescharacteristic
185C22×C4×C73C22×C411yescharacteristic
186C22×C4×C73C22×C411yescharacteristic
187C22×C4×C73C2411yescharacteristic
188C4⋊C4×C73—22no—
189C4⋊C4×C73—22no—
190C4⋊C4×C73—22no—
191C4⋊C4×C73—41no—
192C4⋊C4×C73—41no—
193C22⋊C4×C73—22no—
194C22⋊C4×C73—22no—
195C22⋊C4×C73—22no—
196C22⋊C4×C73—22no—
197C22⋊C4×C73—41no—
198C22⋊C4×C73—41no—
199C22⋊C4×C73—41no—
200C22⋊C4×C73M1614yes—
201C42×C73—21no—
202C42×C73—21no—
203C42×C73—21no—
204C42×C73—21no—
205C42×C73—21no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—41no—
212C42×C73—41no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—21no—
221C23×C73—21no—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73C2×M1612yes—
226C23×C73#13112yes—
227C23×C73C23×C411yescharacteristic
228D4×C73—44no—
229C2×C4×C73—21no—
230C2×C4×C73—21no—
231C2×C4×C73—21no—
232C2×C4×C73—21no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
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—44no—
263C2×C4×C73—44no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73C2×M1612yes—
273C2×C4×C73C2×M1612yes—
274C2×C4×C73#13112yes—
275C2×C4×C73H(5,𝔽2)11yescharacteristic
276C2×C4×C73H(5,𝔽2)11yescharacteristic
277C2×C4×C73H(5,𝔽2)11yescharacteristic
278C2×C4×C73H(5,𝔽2)11yescharacteristic
279C2×C4×C732−1+411yescharacteristic
280C2×C4×C732−1+411yescharacteristic
281#10596831—41no—
282#10596831—41no—
283#10596831—41no—
284#10596831—41no—
285#10596831—41no—
286#10596831—41no—
287#10596831—41no—
288#10596831—41no—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—22no—
293C22×C73—22no—
294C22×C73—22no—
295C22×C73—41no—
296C22×C73—41no—
297C22×C73—41no—
298C22×C73—41no—
299C22×C73—41no—
300C22×C73—41no—
301C22×C73—41no—
302C22×C73—41no—
303C22×C73#51811yescharacteristic
304C22×C73#52011yescharacteristic
305C22×C73#52011yescharacteristic
306C22×C73C22×M1611yescharacteristic
307C22×C73C2×#13111yescharacteristic
308C22×C73C2×#13111yescharacteristic
309C22×C73#56811yescharacteristic
310C4×C73—22no—
311C4×C73—22no—
312C4×C73—22no—
313C4×C73—41no—
314C4×C73—41no—
315C4×C73—41no—
316C4×C73—41no—
317C4×C73—41no—
318C4×C73—41no—
319C4×C73—41no—
320C4×C73—41no—
321C4×C73—41no—
322C4×C73#56011yescharacteristic
323C4×C73#56211yescharacteristic
324C4×C73#56211yescharacteristic
325C4×C73#56311yescharacteristic
326#23318—731nomaximal, Sylow
327C2×C73—42no—
328C2×C73—42no—
329C2×C73#237611yescharacteristic
330C2×C73#297411yescharacteristic
331C2×C73#297611yescharacteristic
332C2×C73#298911yescharacteristic
333C2×C73#299011yescharacteristic
334C2×C73#299211yescharacteristic
335C2×C73#299411yescharacteristic
336C4×#123D7311yescharacteristic
337#1955—731no—
338#1940—731no—
339#1939—731no—
340#1924—731no—
341#1924—731no—
342#1923—731no—
343#1923—731no—
344#1917—731no—
345#1917—731no—
346#1869—731no—
347#1850—731no—
348#1850—731no—
349#1797—731no—
350#1797—731no—
351C73#2331811yescharacteristic, complemented, Sylow
352C23×C8—731no—
353C2×#123Dic7311yescharacteristic
354C2×C4×D4C2×D7311yescharacteristic
355C22×C42C2×D7311yescharacteristic
356C2×C4⋊C8—731no—
357C2×C4⋊C8—731no—
358C2×C4⋊C8—731no—
359C2×C4⋊C8—731no—
360C2×C4⋊C8—731no—
361C2×C4⋊C8—731no—
362C2×C4⋊C8—731no—
363C2×C22⋊C8—731no—
364C2×C22⋊C8—731no—
365C2×C22⋊C8—731no—
366C2×C22⋊C8—731no—
367C2×C22⋊C8—731no—
368C2×C22⋊C8—731no—
369C2×C22⋊C8—731no—
370C2×#97—731no—
371C2×#97—731no—
372C2×C4×C8—731no—
373#388Dic7311yescharacteristic
374#388Dic7311yescharacteristic
375#387Dic7311yescharacteristic
376#387Dic7311yescharacteristic
377#386Dic7311yescharacteristic
378#385Dic7311yescharacteristic
379#381Dic7311yescharacteristic
380C4×C4⋊C4C2×D7311yescharacteristic
381C4×C4⋊C4C2×D7311yescharacteristic
382C4×C22⋊C4C2×D7311yescharacteristic
383C4×C22⋊C4C2×D7311yescharacteristic
384C4×C22⋊C4C2×D7311yescharacteristic
385#336—731no—
386#336—731no—
387#336—731no—
388#336—731no—
389#336—731no—
390#336—731no—
391#336—731no—
392#336—731no—
393#336—731no—
394#336—731no—
395C22×D4C2×Dic7311yescharacteristic
396C23×C4C2×Dic7311yescharacteristic
397C23×C4C2×Dic7311yescharacteristic
398C23×C4C22×D7311yescharacteristic
399C23×C4C22×D7311yescharacteristic
400C22×C8—2921no—
401C22×C8—2921no—
402C22×C8—2921no—
403C22×C8—731no—
404C22×C8—731no—
405C22×C8—731no—
406C22×C8—731no—
407C22×C8—731no—
408C22×C8—731no—
409C22×C8—731no—
410C22×C8—731no—
411#123—24no—
412C4×D4—41no—
413C4×D4—41no—
414C2×C4⋊C4C2×Dic7311yescharacteristic
415C2×C4⋊C4C2×Dic7311yescharacteristic
416C2×C4⋊C4C2×Dic7311yescharacteristic
417C2×C4⋊C4C2×Dic7311yescharacteristic
418C2×C4⋊C4C2×Dic7311yescharacteristic
419C2×C22⋊C4C2×Dic7311yescharacteristic
420C2×C22⋊C4C2×Dic7311yescharacteristic
421C2×C22⋊C4C2×Dic7311yescharacteristic
422C2×C22⋊C4C2×Dic7311yescharacteristic
423C2×C22⋊C4C2×Dic7311yescharacteristic
424C2×C22⋊C4C2×Dic7311yescharacteristic
425C2×C22⋊C4C2×Dic7311yescharacteristic
426C2×C22⋊C4C2×Dic7311yescharacteristic
427C2×C42—41no—
428C2×C42—41no—
429C2×C42C2×Dic7311yescharacteristic
430C2×C42C2×Dic7311yescharacteristic
431C2×C42C22×D7311yescharacteristic
432C2×C42C22×D7311yescharacteristic
433C2×C42C22×D7311yescharacteristic
434C2×C42C22×D7311yescharacteristic
435C2×C42C22×D7311yescharacteristic
436C4⋊C8—2921no—
437C4⋊C8—2921no—
438C4⋊C8—2921no—
439C4⋊C8—2921no—
440C4⋊C8—2921no—
441C4⋊C8—2921no—
442C4⋊C8—2921no—
443C22⋊C8—2921no—
444C22⋊C8—2921no—
445C22⋊C8—2921no—
446C22⋊C8—2921no—
447C22⋊C8—2921no—
448C22⋊C8—2921no—
449C22⋊C8—2921no—
450#97—2921no—
451#97—2921no—
452C4×C8—2921no—
453#95C2×Dic7311yescharacteristic
454#95C2×Dic7311yescharacteristic
455#95C2×Dic7311yescharacteristic
456#95C2×Dic7311yescharacteristic
457#95C2×Dic7311yescharacteristic
458#95C2×Dic7311yescharacteristic
459#95C2×Dic7311yescharacteristic
460#95C2×Dic7311yescharacteristic
461#95C2×Dic7311yescharacteristic
462#95C2×Dic7311yescharacteristic
463C24C22×Dic7311yescharacteristic
464C24C22×Dic7311yescharacteristic
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—41no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4C22×Dic7311yescharacteristic
487C22×C4C22×Dic7311yescharacteristic
488C22×C4C22×Dic7311yescharacteristic
489C22×C4C22×Dic7311yescharacteristic
490C22×C4C22×Dic7311yescharacteristic
491C22×C4C22×Dic7311yescharacteristic
492C22×C4C22×Dic7311yescharacteristic
493C22×C4C22×Dic7311yescharacteristic
494C22×C4C22×Dic7311yescharacteristic
495C22×C4C22×Dic7311yescharacteristic
496C22×C4C22×Dic7311yescharacteristic
497C22×C4C22×Dic7311yescharacteristic
498C22×C4C23×D7311yescharacteristic
499C2×C8—2924no—
500C2×C8—1461no—
501C2×C8—1461no—
502C2×C8—1461no—
503C2×C8—1461no—
504C2×C8—1461no—
505C2×C8—1461no—
506C2×C8—1461no—
507C2×C8—1461no—
508C2×C8—1461no—
509C2×C8—1461no—
510C2×C8—1461no—
511C2×C8—1461no—
512C2×C8—1461no—
513C2×C8—1461no—
514C2×C8—1461no—
515C2×C8—1461no—
516C2×C8—1461no—
517C2×C8—1461no—
518C2×C8—1461no—
519C2×C8—1461no—
520C2×C8—1461no—
521C2×C8—1461no—
522C2×C8—1461no—
523C2×C8—1461no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4#1192401214yes—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—41no—
548C42—41no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23C2×#1192401212yes—
562C23#1455659812yes—
563C23C23×Dic7311yescharacteristic
564D4—44no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4C2×#1192401212yes—
609C2×C4C2×#1192401212yes—
610C2×C4#1455659812yes—
611C2×C4#1455663611yescharacteristic
612C2×C4#1455663611yescharacteristic
613C2×C4#1455663711yescharacteristic
614C2×C4#1455663711yescharacteristic
615C2×C4#1455663811yescharacteristic
616C2×C4#1455663811yescharacteristic
617C8—2921no—
618C8—2921no—
619C8—2921no—
620C8—2921no—
621C8—2921no—
622C8—2921no—
623C8—2921no—
624C8—2921no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22#1798906211yescharacteristic
640C22#1798907011yescharacteristic
641C22#1798907011yescharacteristic
642C22C22×#1192401211yescharacteristic
643C22C2×#1455659811yescharacteristic
644C22C2×#1455659811yescharacteristic
645C22#1798935411yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4#1798932711yescharacteristic
659C4#1798933411yescharacteristic
660C4#1798933411yescharacteristic
661C4#1798934011yescharacteristic
662C2—42no—
663C2—42no—
664C2#2261307911yescharacteristic
665C2#2261896611yescharacteristic
666C2#2261897911yescharacteristic
667C2#2261904811yescharacteristic
668C2#2261905611yescharacteristic
669C2#2261907011yescharacteristic
670C2#2261909111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D73
commutator, socleC23×C73C23×C4
FittingC4×#123×C73C2
prime radicalC22×D4×C73C2×C4
cosocleC22×C4×C73C24
hypercenterC4×#123D73
hypocenterC73#23318
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #22610655C2semidirect
3. #22610650C2semidirect
4. #22610546C2semidirect
5. #22610546C2semidirect
6. #22610539C2semidirect
7. #22610539C2semidirect
8. #22610497C2semidirect
9. #22610497C2semidirect
11. #22610111C2semidirect
12. #22610111C2semidirect
13. #22609911C2semidirect
14. #22609911C2semidirect
351. C73#23318semidirect

Maximal subgroups

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

subgroupindex
#226107302
#226106552
#226106502
#226105462
#226105392
#226104972
#226102242
#226101112
#226099112
C4×#123×C732
#2331873