Finite Group Databasebeta

← #33112254

Subgroups — #33112254

Order 18688.

802 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22613171C211yesmaximal, characteristic
2#22610728C211yesmaximal, characteristic, complemented
3#22610725C211yesmaximal, characteristic, complemented
4#22610542C211yesmaximal, characteristic, complemented
5#22610537C211yesmaximal, characteristic, complemented
6#22610497C211yesmaximal, characteristic, complemented
7#22610222C211yesmaximal, characteristic, complemented
8#22610222C211yesmaximal, characteristic, complemented
9#22610222C211yesmaximal, characteristic, complemented
10#22610222C211yesmaximal, characteristic, complemented
11#22610110C211yesmaximal, characteristic, complemented
12#22610107C211yesmaximal, characteristic, complemented
13#22610001C211yesmaximal, characteristic, complemented
14#22609914C211yesmaximal, characteristic, complemented
15C73×#1916C211yesmaximal, characteristic, complemented
16C22×C8×D73C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18C2×C4×D292C2211yescharacteristic
19C2×C4×D292C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21C2×#14556548C2211yescharacteristic
22C2×C4⋊#10596831C2211yescharacteristic
23C2×#14556520C2211yescharacteristic
24C2×#14556520C2211yescharacteristic
25C2×#14556503C2211yescharacteristic
26C2×#14556503C2211yescharacteristic
27C2×#14556503C2211yescharacteristic
28C2×#14556503C2211yescharacteristic
29C2×#14556503C2211yescharacteristic
30C2×#14556503C2211yescharacteristic
31C2×#14556503C2211yescharacteristic
32C2×#14556503C2211yescharacteristic
33C2×#14556503C2211yescharacteristic
34C2×#14556503C2211yescharacteristic
35C2×#14556502C2211yescharacteristic
36#17988519C411yescharacteristic
37#17988514C411yescharacteristic
38#17988509C411yescharacteristic
39#17988509C411yescharacteristic
40#17988505C411yescharacteristic
41#17988504C411yescharacteristic
42#17988504C411yescharacteristic
43#17988497C411yescharacteristic
44C4×#11924005C2211yescharacteristic
45C4×#11924005C2211yescharacteristic
46#17988342C2211yescharacteristic
47#17988342C2211yescharacteristic
48#17988342C2211yescharacteristic
49#17988342C2211yescharacteristic
50#17988341C2211yescharacteristic
51#17988341C2211yescharacteristic
52C2×C4⋊C8×C73C2211yescharacteristic
53C2×C4×C8×C73C2211yescharacteristic
54C4×C4⋊C4×C73C2211yescharacteristic
55#336×C73C2211yescharacteristic
56#336×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×D292C2×C411yescharacteristic
60C22×D292C2×C411yescharacteristic
61C22×D292C2×C411yescharacteristic
62C22×C4×D73C2311yescharacteristic
63C22×C4×D73C2311yescharacteristic
64C22×C4×D73C2311yescharacteristic
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67C22×#10596831C2311yescharacteristic
68C22×#10596831C2311yescharacteristic
69C2×C8×D73—41no—
70C2×C8×D73—41no—
71C2×C8×D73—41no—
72C2×C8×D73—41no—
73C2×C8×D73—41no—
74C2×C8×D73—41no—
75C4×D292—41no—
76C4×D292—41no—
77C4×D292—41no—
78C4×D292—41no—
79C4×D292—41no—
80C4×D292—41no—
81#14556548—41no—
82#14556548—41no—
83C2×C4⋊Dic73C2×C411yescharacteristic
84C2×C4⋊Dic73C2×C411yescharacteristic
85C2×C4⋊Dic73C2×C411yescharacteristic
86C2×#11924007C2×C411yescharacteristic
87C2×#11924007C2×C411yescharacteristic
88C2×#11924005C2×C411yescharacteristic
89C2×#11924005C2×C411yescharacteristic
90C2×#11924005C2×C411yescharacteristic
91C2×#11924005C2×C411yescharacteristic
92C2×#11924005C2×C411yescharacteristic
93C2×#11924005C2×C411yescharacteristic
94C2×#11924005C2×C411yescharacteristic
95C2×#11924005C2×C411yescharacteristic
96C2×#11924005C2×C411yescharacteristic
97C2×#11924005C2×C411yescharacteristic
98C2×#11924005C2×C411yescharacteristic
99C2×#11924005C2×C411yescharacteristic
100C2×C4×Dic73C2311yescharacteristic
101C4⋊#10596831—41no—
102#14556520—41no—
103#14556520—41no—
104#14556503—41no—
105#14556503—41no—
106#14556503—41no—
107#14556503—41no—
108#14556503—41no—
109#14556503—41no—
110#14556503—41no—
111#14556503—41no—
112#14556503—41no—
113#14556503—41no—
114#14556502—41no—
115#14556498C2×C411yescharacteristic
116#14556498C2×C411yescharacteristic
117#14556498C2×C411yescharacteristic
118#14556498C2×C411yescharacteristic
119C22×C8×C73C2311yescharacteristic
120C22×C8×C73C2311yescharacteristic
121C22×C8×C73C2311yescharacteristic
122C22×C8×C73C2311yescharacteristic
123C2×C4⋊C4×C73C2×C411yescharacteristic
124C2×C4⋊C4×C73C2×C411yescharacteristic
125C2×C42×C73C2311yescharacteristic
126C2×C42×C73C2311yescharacteristic
127C2×C42×C73C2311yescharacteristic
128C4⋊C8×C73—41no—
129C4×C8×C73—41no—
130#95×C73C2×C411yescharacteristic
131#95×C73C2×C411yescharacteristic
132C23×D73C22×C411yescharacteristic
133C23×D73C22×C411yescharacteristic
134C23×D73C22×C411yescharacteristic
135C2×D292—22no—
136C2×D292—22no—
137C2×D292—22no—
138C2×D292—22no—
139C2×D292—22no—
140C2×D292—41no—
141C2×D292—41no—
142C2×D292—41no—
143C2×D292—41no—
144C22×Dic73C22×C411yescharacteristic
145C22×Dic73C22×C411yescharacteristic
146C22×Dic73C22×C411yescharacteristic
147C22×Dic73C22×C411yescharacteristic
148C22×Dic73C22×C411yescharacteristic
149C2×C4×D73—21no—
150C2×C4×D73—21no—
151C2×C4×D73—21no—
152C2×C4×D73—21no—
153C2×C4×D73—21no—
154C2×C4×D73—21no—
155C2×C4×D73—21no—
156C2×C4×D73—21no—
157C2×C4×D73—21no—
158C2×C4×D73—21no—
159C2×C4×D73—21no—
160C2×C4×D73—21no—
161C2×C4×D73—21no—
162C2×C4×D73—21no—
163C2×C4×D73—21no—
164C2×C4×D73—21no—
165C2×C4×D73—21no—
166C2×C4×D73—21no—
167C2×#10596831—21no—
168C2×#10596831—21no—
169C2×#10596831—21no—
170C2×#10596831—21no—
171C2×#10596831—21no—
172C2×#10596831—21no—
173C2×#10596831—21no—
174C2×#10596831—21no—
175C2×#10596831—21no—
176C2×#10596831—21no—
177C2×#10596831—21no—
178C2×#10596831—21no—
179C8×D73—44no—
180C8×D73—44no—
181C4⋊Dic73—41no—
182C4⋊Dic73—41no—
183C4⋊Dic73—41no—
184#11924007—41no—
185#11924007—41no—
186#11924005—22no—
187#11924005—22no—
188#11924005—22no—
189#11924005—41no—
190#11924005—41no—
191#11924005—41no—
192#11924005—41no—
193#11924005—41no—
194#11924005—41no—
195#11924005—41no—
196#11924005—41no—
197#11924005—41no—
198C4×Dic73—21no—
199C4×Dic73—21no—
200C22×C4×C73C22×C411yescharacteristic
201C22×C4×C73C22×C411yescharacteristic
202C22×C4×C73C22×C411yescharacteristic
203C22×C4×C73C22×C411yescharacteristic
204C22×C4×C73C22×C411yescharacteristic
205C22×C4×C73C22×C411yescharacteristic
206C22×C4×C73C2411yescharacteristic
207C2×C8×C73—21no—
208C2×C8×C73—21no—
209C2×C8×C73—21no—
210C2×C8×C73—21no—
211C2×C8×C73—21no—
212C2×C8×C73—21no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C4⋊C4×C73—22no—
220C4⋊C4×C73—41no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73—21no—
224C42×C73—21no—
225C42×C73—21no—
226C42×C73—21no—
227C23×C73C23×C411yescharacteristic
228C22×D73—21no—
229C22×D73—21no—
230C22×D73—21no—
231C22×D73—21no—
232C22×D73—21no—
233C22×D73—21no—
234C22×D73—21no—
235C22×D73—21no—
236C22×D73—21no—
237C22×D73—21no—
238C22×D73—21no—
239C22×D73—21no—
240C22×D73—21no—
241C22×D73—21no—
242C22×D73—21no—
243C22×D73—21no—
244C22×D73—21no—
245C22×D73—21no—
246C22×D73—21no—
247C22×D73#13112yes—
248C22×D73#13112yes—
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—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73#13112yes—
267C2×C4×C73H(5,𝔽2)11yescharacteristic
268C2×C4×C73H(5,𝔽2)11yescharacteristic
269C2×C4×C73H(5,𝔽2)11yescharacteristic
270C2×C4×C73H(5,𝔽2)11yescharacteristic
271C2×C4×C73H(5,𝔽2)11yescharacteristic
272C2×C4×C732−1+411yescharacteristic
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—21no—
287C2×Dic73—21no—
288D292—44no—
289D292—44no—
290D292—44no—
291C4×D73—41no—
292C4×D73—41no—
293C4×D73—41no—
294C4×D73—41no—
295C4×D73—41no—
296C4×D73—41no—
297C4×D73—41no—
298C4×D73—41no—
299C4×D73—41no—
300C4×D73—41no—
301C4×D73—41no—
302C4×D73—41no—
303C8×C73—41no—
304C8×C73—41no—
305C8×C73—41no—
306C8×C73—41no—
307#10596831—41no—
308#10596831—41no—
309#10596831—41no—
310#10596831—41no—
311C22×C73#51811yescharacteristic
312C22×C73#51811yescharacteristic
313C22×C73#52011yescharacteristic
314C22×C73C2×#13111yescharacteristic
315C22×C73C2×#13111yescharacteristic
316C22×C73C2×#13111yescharacteristic
317C22×C73#56811yescharacteristic
318C2×D73—22no—
319C2×D73—22no—
320C2×D73—22no—
321C2×D73—22no—
322C2×D73—22no—
323C2×D73—22no—
324C2×D73—41no—
325C2×D73—41no—
326C2×D73—41no—
327C2×D73—41no—
328C2×D73—41no—
329C2×D73—41no—
330C2×D73—41no—
331C2×D73—41no—
332C2×D73—41no—
333C2×D73—41no—
334C2×D73—41no—
335C2×D73—41no—
336C2×D73—41no—
337C2×D73—41no—
338C2×D73—41no—
339C4×C73—22no—
340C4×C73—41no—
341C4×C73—41no—
342C4×C73—41no—
343C4×C73—41no—
344C4×C73—41no—
345C4×C73#56011yescharacteristic
346C4×C73#56011yescharacteristic
347C4×C73#56211yescharacteristic
348C4×C73#56211yescharacteristic
349Dic73—41no—
350Dic73—41no—
351Dic73—41no—
352Dic73—41no—
353Dic73—41no—
354#23330—731nomaximal, Sylow
355C2×C73#237711yescharacteristic
356C2×C73#297611yescharacteristic
357C2×C73#297711yescharacteristic
358C2×C73#297711yescharacteristic
359C2×C73#298111yescharacteristic
360C2×C73#299211yescharacteristic
361C2×C73#299411yescharacteristic
362D73—42no—
363D73—42no—
364D73—81no—
365#2392—731no—
366#1955—731no—
367#1954—731no—
368#1924—731no—
369#1923—731no—
370#1917—731no—
371#1916D7311yescharacteristic, complemented
372#1869—731no—
373#1869—731no—
374#1869—731no—
375#1869—731no—
376#1850—731no—
377#1850—731no—
378#1818—731no—
379#1798—731no—
380C73#2333011yescharacteristic, complemented, Sylow
381C23×C8—731no—
382C23×C8—731no—
383C2×C4×D4—731no—
384C2×C4×D4—731no—
385C2×C4×D4—731no—
386C2×#117—731no—
387C2×C4⋊C8—731no—
388C2×C4⋊C8—731no—
389C2×C4⋊C8—731no—
390C2×C4⋊C8C2×D7311yescharacteristic
391C2×C22⋊C8—731no—
392C2×C22⋊C8—731no—
393C2×C22⋊C8—731no—
394C2×C22⋊C8—731no—
395C2×C22⋊C8—731no—
396C2×C22⋊C8—731no—
397C2×C22⋊C8—731no—
398C2×C22⋊C8—731no—
399C2×C22⋊C8—731no—
400C2×C22⋊C8—731no—
401C2×#97—731no—
402C2×C4×C8C2×D7311yescharacteristic
403#398—731no—
404#397—731no—
405#396—731no—
406#396—731no—
407#394—731no—
408#394—731no—
409#394—731no—
410#392—731no—
411C4×C4⋊C4C2×D7311yescharacteristic
412C4×C22⋊C4—731no—
413C4×C22⋊C4—731no—
414#336—731no—
415#336—731no—
416#336—731no—
417#336—731no—
418#336—731no—
419#336—731no—
420#336C2×D7311yescharacteristic
421#336C2×D7311yescharacteristic
422#336C2×D7311yescharacteristic
423#336C2×D7311yescharacteristic
424C22×D4—731no—
425C22×D4—731no—
426C22×D4—731no—
427C23×C4—731no—
428C23×C4—731no—
429C23×C4—731no—
430C22×C8—2921no—
431C22×C8—2921no—
432C22×C8—2921no—
433C22×C8—2921no—
434C22×C8—2921no—
435C22×C8—2921no—
436C22×C8—731no—
437C22×C8—731no—
438C22×C8—731no—
439C22×C8—731no—
440C22×C8C22×D7311yescharacteristic
441C22×C8C22×D7311yescharacteristic
442C22×C8C22×D7311yescharacteristic
443C22×C8C22×D7311yescharacteristic
444C4×D4—2921no—
445C4×D4—2921no—
446C4×D4—2921no—
447C4×D4—2921no—
448C4×D4—2921no—
449C4×D4—2921no—
450#117—2921no—
451#117—2921no—
452C2×C4⋊C4—731no—
453C2×C4⋊C4—731no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4C4×D7311yescharacteristic
458C2×C4⋊C4C4×D7311yescharacteristic
459C2×C22⋊C4—731no—
460C2×C22⋊C4—731no—
461C2×C22⋊C4—731no—
462C2×C22⋊C4—731no—
463C2×C22⋊C4—731no—
464C2×C22⋊C4—731no—
465C2×C22⋊C4—731no—
466C2×C22⋊C4—731no—
467C2×C22⋊C4—731no—
468C2×C22⋊C4—731no—
469C2×C22⋊C4—731no—
470C2×C22⋊C4—731no—
471C2×C42—731no—
472C2×C42C22×D7311yescharacteristic
473C2×C42C22×D7311yescharacteristic
474C2×C42C22×D7311yescharacteristic
475C4⋊C8—41no—
476C4⋊C8—2921no—
477C4⋊C8—2921no—
478C4⋊C8—2921no—
479C22⋊C8—2921no—
480C22⋊C8—2921no—
481C22⋊C8—2921no—
482C22⋊C8—2921no—
483C22⋊C8—2921no—
484C22⋊C8—2921no—
485C22⋊C8—2921no—
486C22⋊C8—2921no—
487C22⋊C8—2921no—
488C22⋊C8—2921no—
489#97—2921no—
490C4×C8—41no—
491#95—731no—
492#95—731no—
493#95—731no—
494#95—731no—
495#95C4×D7311yescharacteristic
496#95C4×D7311yescharacteristic
497C24—731no—
498C24—731no—
499C24—731no—
500C2×D4—2921no—
501C2×D4—2921no—
502C2×D4—2921no—
503C2×D4—2921no—
504C2×D4—1462no—
505C2×D4—1462no—
506C2×D4—1462no—
507C2×D4—1462no—
508C2×D4—1462no—
509C22×C4—731no—
510C22×C4—731no—
511C22×C4—731no—
512C22×C4—731no—
513C22×C4—731no—
514C22×C4—1461no—
515C22×C4—1461no—
516C22×C4—1461no—
517C22×C4—1461no—
518C22×C4—1461no—
519C22×C4—1461no—
520C22×C4—1461no—
521C22×C4—1461no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4C2×C4×D7311yescharacteristic
533C22×C4C2×C4×D7311yescharacteristic
534C22×C4C2×C4×D7311yescharacteristic
535C22×C4C2×C4×D7311yescharacteristic
536C22×C4C2×C4×D7311yescharacteristic
537C22×C4C2×C4×D7311yescharacteristic
538C22×C4C23×D7311yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—2924no—
552C2×C8—2924no—
553C2×C8—1461no—
554C2×C8—1461no—
555C2×C8—1461no—
556C2×C8—1461no—
557C2×C8—1461no—
558C2×C8—1461no—
559C2×C8—1461no—
560C2×C8—1461no—
561C2×C8—1461no—
562C2×C8—1461no—
563C2×C8—1461no—
564C2×C8—1461no—
565C4⋊C4—22no—
566C4⋊C4—41no—
567C4⋊C4—2921no—
568C4⋊C4—2921no—
569C4⋊C4—2921no—
570C4⋊C4—2921no—
571C4⋊C4—2921no—
572C22⋊C4—2921no—
573C22⋊C4—2921no—
574C22⋊C4—2921no—
575C22⋊C4—2921no—
576C22⋊C4—2921no—
577C22⋊C4—2921no—
578C22⋊C4—2921no—
579C22⋊C4—2921no—
580C22⋊C4—2921no—
581C22⋊C4—1462no—
582C22⋊C4—1462no—
583C22⋊C4—1462no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—1461no—
591C42—1461no—
592C23—732no—
593C23—732no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23—1461no—
599C23—1461no—
600C23—1461no—
601C23—1461no—
602C23—1461no—
603C23—1461no—
604C23—1461no—
605C23—1461no—
606C23—1461no—
607C23—1461no—
608C23—1461no—
609C23—1461no—
610C23—1461no—
611C23—1461no—
612C23—1461no—
613C23C22×C4×D7311yescharacteristic
614D4—2924no—
615D4—2924no—
616D4—2924no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
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—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—2921no—
642C2×C4—2921no—
643C2×C4—2921no—
644C2×C4—2921no—
645C2×C4—2921no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4—1461no—
651C2×C4—1461no—
652C2×C4—1461no—
653C2×C4—1461no—
654C2×C4—1461no—
655C2×C4—1461no—
656C2×C4—1461no—
657C2×C4—1461no—
658C2×C4—1461no—
659C2×C4—1461no—
660C2×C4—1461no—
661C2×C4#1455659712yes—
662C2×C4#1455663611yescharacteristic
663C2×C4#1455663711yescharacteristic
664C2×C4#1455663711yescharacteristic
665C2×C4#1455663711yescharacteristic
666C2×C4#1455663711yescharacteristic
667C2×C4#1455663911yescharacteristic
668C8—41no—
669C8—41no—
670C8—41no—
671C8—41no—
672C8—2921no—
673C8—2921no—
674C8—2921no—
675C8—2921no—
676C22—2921no—
677C22—2921no—
678C22—2921no—
679C22—2921no—
680C22—2921no—
681C22—2921no—
682C22—2921no—
683C22—2921no—
684C22—2921no—
685C22—2921no—
686C22—2921no—
687C22—2921no—
688C22—2921no—
689C22—2921no—
690C22—2921no—
691C22—1462no—
692C22—1462no—
693C22—1462no—
694C22—1462no—
695C22—1462no—
696C22—1462no—
697C22#1798905911yescharacteristic
698C22#1798906111yescharacteristic
699C22#1798906911yescharacteristic
700C22#131×D7311yescharacteristic
701C22#131×D7311yescharacteristic
702C22C2×#1455659711yescharacteristic
703C22#1798935311yescharacteristic
704C4—22no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—2921no—
711C4—2921no—
712C4—2921no—
713C4—2921no—
714C4—2921no—
715C4#1798932711yescharacteristic
716C4#1798932811yescharacteristic
717C4#1798933311yescharacteristic
718C4#1798933511yescharacteristic
719C2—2922no—
720C2—2922no—
721C2—5841no—
722C2#2261308611yescharacteristic
723C2#2261897811yescharacteristic
724C2#2261898411yescharacteristic
725C2#2261898611yescharacteristic
726C2#2261900611yescharacteristic
727C2#2261906911yescharacteristic
728C2#2261909011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D73
commutator, socleC23×C73C23×C4
FittingC73×#1916C2
prime radical#17988497C4
cosocleC22×C4×C73C24
hypercenter#1916D73
hypocenterC73#23330
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. #22610728C2semidirect
3. #22610725C2semidirect
4. #22610542C2semidirect
5. #22610537C2semidirect
6. #22610497C2semidirect
7. #22610222C2semidirect
8. #22610222C2semidirect
9. #22610222C2semidirect
10. #22610222C2semidirect
11. #22610110C2semidirect
12. #22610107C2semidirect
13. #22610001C2semidirect
14. #22609914C2semidirect
15. C73×#1916C2semidirect
371. #1916D73semidirect
380. C73#23330semidirect

Maximal subgroups

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

subgroupindex
#226131712
#226107282
#226107252
#226105422
#226105372
#226104972
#226102222
#226101102
#226101072
#226100012
#226099142
C73×#19162
#2333073