Finite Group Databasebeta

← #33093079

Subgroups — #33093079

Order 18688.

872 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988665C211yesmaximal, characteristic
2C2×#17988543C211yesmaximal, characteristic, complemented
3#22610546C211yesmaximal, characteristic, complemented
4#22610539C211yesmaximal, characteristic, complemented
5#22610497C211yesmaximal, characteristic, complemented
6#22610490C211yesmaximal, characteristic, complemented
7#22610224C211yesmaximal, characteristic
8#22610111C211yesmaximal, characteristic, complemented
9#22610002C211yesmaximal, characteristic, complemented
10#22609806C211yesmaximal, characteristic, complemented
11C4⋊C4×#10596831C211yesmaximal, characteristic, complemented
12#22609715C211yesmaximal, characteristic, complemented
13#22609715C211yesmaximal, characteristic, complemented
14#22609715C211yesmaximal, characteristic, complemented
15C73×#2395C211yesmaximal, characteristic
16C22×#11924012C2211yescharacteristic
17C22×#11924012C2211yescharacteristic
18C23×#10596831C2211yescharacteristic
19#17988665—24no—
20C2×C4⋊#10596831C2211yescharacteristic
21C2×C4⋊#10596831C2211yescharacteristic
22C2×C4⋊#10596831C2211yescharacteristic
23C2×C22⋊#10596831C2211yescharacteristic
24C2×C22⋊#10596831C2211yescharacteristic
25C2×C22⋊#10596831C2211yescharacteristic
26C2×C22⋊#10596831C2211yescharacteristic
27C2×C22⋊#10596831C2211yescharacteristic
28#17988543—24no—
29C2×#14556502C2211yescharacteristic
30C2×#14556502C2211yescharacteristic
31C2×#14556502C2211yescharacteristic
32C2×C4×#10596831C2211yescharacteristic
33C2×C4×#10596831C2211yescharacteristic
34C2×C4×#10596831C2211yescharacteristic
35C2×C4×#10596831C2211yescharacteristic
36#17988342C2211yescharacteristic
37#17988342C2211yescharacteristic
38#17988342C2211yescharacteristic
39#17988342C2211yescharacteristic
40#17988342C2211yescharacteristic
41#17988342C2211yescharacteristic
42#17988342C2211yescharacteristic
43#17988342C2211yescharacteristic
44#17988342C2211yescharacteristic
45#17988342C2211yescharacteristic
46C2×C4×D4×C73C2211yescharacteristic
47C2×#117×C73C2211yescharacteristic
48#400×C73C411yescharacteristic
49#399×C73C411yescharacteristic
50#398×C73C411yescharacteristic
51#397×C73C411yescharacteristic
52#397×C73C411yescharacteristic
53#397×C73C411yescharacteristic
54#394×C73C411yescharacteristic
55#394×C73C411yescharacteristic
56C4×C4⋊C4×C73C2211yescharacteristic
57C4×C4⋊C4×C73C2211yescharacteristic
58C4×C22⋊C4×C73C2211yescharacteristic
59C4×C22⋊C4×C73C2211yescharacteristic
60C4×C22⋊C4×C73C2211yescharacteristic
61C2×#11924012—22no—
62C2×#11924012—22no—
63C2×#11924012—22no—
64C2×#11924012—22no—
65C2×#11924012—22no—
66C2×#11924012D414yes—
67C22×#10596831—22no—
68C22×#10596831—22no—
69C22×#10596831—22no—
70C22×#10596831C2311yescharacteristic
71C22×#10596831C2311yescharacteristic
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75C22×#10596831C2311yescharacteristic
76C22×#10596831C2311yescharacteristic
77C22×#10596831C2311yescharacteristic
78C4⋊#10596831—22no—
79C4⋊#10596831—22no—
80C4⋊#10596831—22no—
81C22⋊#10596831—22no—
82C22⋊#10596831—22no—
83C22⋊#10596831—22no—
84C22⋊#10596831—22no—
85C22⋊#10596831—22no—
86#14556502—22no—
87#14556502—22no—
88#14556502—22no—
89C4×#10596831—22no—
90C4×#10596831—22no—
91C4×#10596831—22no—
92C4×#10596831—22no—
93C22×D4×C73C2×C411yescharacteristic
94C23×C4×C73C2311yescharacteristic
95C23×C4×C73C2311yescharacteristic
96C4×D4×C73—22no—
97C4×D4×C73—22no—
98#117×C73—22no—
99#117×C73—22no—
100C2×C4⋊C4×C73C2×C411yescharacteristic
101C2×C4⋊C4×C73C2×C411yescharacteristic
102C2×C4⋊C4×C73C2×C411yescharacteristic
103C2×C4⋊C4×C73C2×C411yescharacteristic
104C2×C4⋊C4×C73C2×C411yescharacteristic
105C2×C4⋊C4×C73C2×C411yescharacteristic
106C2×C4⋊C4×C73C2×C411yescharacteristic
107C2×C22⋊C4×C73C2×C411yescharacteristic
108C2×C22⋊C4×C73C2×C411yescharacteristic
109C2×C22⋊C4×C73C2×C411yescharacteristic
110C2×C22⋊C4×C73C2×C411yescharacteristic
111C2×C22⋊C4×C73C2×C411yescharacteristic
112C2×C22⋊C4×C73C2×C411yescharacteristic
113C2×C22⋊C4×C73C2×C411yescharacteristic
114C2×C22⋊C4×C73C2×C411yescharacteristic
115C2×C22⋊C4×C73C2×C411yescharacteristic
116C2×C22⋊C4×C73C2×C411yescharacteristic
117C2×C42×C73C2311yescharacteristic
118C2×C42×C73C2311yescharacteristic
119C2×C42×C73C2311yescharacteristic
120C2×C42×C73C2311yescharacteristic
121C2×C42×C73C2311yescharacteristic
122#95×C73C2×C411yescharacteristic
123#95×C73C2×C411yescharacteristic
124#95×C73C2×C411yescharacteristic
125#95×C73C2×C411yescharacteristic
126#95×C73C2×C411yescharacteristic
127#95×C73C2×C411yescharacteristic
128#95×C73C2×C411yescharacteristic
129#95×C73C2×C411yescharacteristic
130#95×C73C2×C411yescharacteristic
131#95×C73C2×C411yescharacteristic
132#11924012—28no—
133#11924012—44no—
134C2×#10596831—28no—
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—21no—
152C2×#10596831—21no—
153C2×#10596831C2×D412yes—
154C2×#10596831C2×D412yes—
155C2×#10596831#4112yes—
156C2×#10596831#4112yes—
157C2×#10596831#4112yes—
158C2×#10596831#4112yes—
159C24×C73C22×C411yescharacteristic
160C24×C73C22×C411yescharacteristic
161C2×D4×C73—22no—
162C2×D4×C73—22no—
163C2×D4×C73—41no—
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—21no—
173C22×C4×C73—21no—
174C22×C4×C73C22×C411yescharacteristic
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×C73C2×D412yes—
187C22×C4×C73#4112yes—
188C22×C4×C73C2411yescharacteristic
189C4⋊C4×C73—22no—
190C4⋊C4×C73—22no—
191C4⋊C4×C73—22no—
192C4⋊C4×C73—22no—
193C4⋊C4×C73—22no—
194C4⋊C4×C73—22no—
195C4⋊C4×C73—41no—
196C22⋊C4×C73—22no—
197C22⋊C4×C73—22no—
198C22⋊C4×C73—22no—
199C22⋊C4×C73—22no—
200C22⋊C4×C73—22no—
201C22⋊C4×C73—22no—
202C22⋊C4×C73—41no—
203C22⋊C4×C73—41no—
204C22⋊C4×C73—41no—
205C22⋊C4×C73—41no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—21no—
213C42×C73—21no—
214C42×C73—21no—
215C42×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×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73C4×D412yes—
230C23×C73C23×C411yescharacteristic
231D4×C73—44no—
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—22no—
239C2×C4×C73—22no—
240C2×C4×C73—22no—
241C2×C4×C73—22no—
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—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—21no—
268C2×C4×C73—21no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73C4×D412yes—
274C2×C4×C73#13112yes—
275C2×C4×C73#13112yes—
276C2×C4×C73C22×D411yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282#10596831—22no—
283#10596831—22no—
284#10596831—22no—
285#10596831—41no—
286#10596831—41no—
287#10596831—41no—
288#10596831—41no—
289#10596831#12314yes—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—22no—
293C22×C73—41no—
294C22×C73—41no—
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—41no—
304C22×C73C2×C4×D411yescharacteristic
305C22×C73C4×#4111yescharacteristic
306C22×C73C4×#4111yescharacteristic
307C22×C73C2×#13111yescharacteristic
308C22×C73C2×#13111yescharacteristic
309C22×C73#56811yescharacteristic
310C22×C73#56811yescharacteristic
311C4×C73—22no—
312C4×C73—22no—
313C4×C73—22no—
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—41no—
323C4×C73C2×#12311yescharacteristic
324C4×C73#52511yescharacteristic
325C4×C73#52911yescharacteristic
326C4×C73#52911yescharacteristic
327#21571—731nomaximal, Sylow
328C2×C73—42no—
329C2×C73—81no—
330C2×C73C4×#12311yescharacteristic
331C2×C73#293311yescharacteristic
332C2×C73#293511yescharacteristic
333C2×C73#296611yescharacteristic
334C2×C73#296711yescharacteristic
335C2×C73#296911yescharacteristic
336C2×C73#296911yescharacteristic
337C2×#436—731no—
338C2×#405—731no—
339#2395D7311yescharacteristic
340#1924—731no—
341#1923—731no—
342#1917—731no—
343#1916—731no—
344#1869—731no—
345#1850—731no—
346#1818—731no—
347#1771—731no—
348C8×C4⋊C4—731no—
349#1753—731no—
350#1753—731no—
351#1753—731no—
352C73#2157111yescharacteristic, complemented, Sylow
353C22×M16—731no—
354C22×M16—731no—
355C23×C8—731no—
356C2×C4×D4C2×D7311yescharacteristic
357C2×#117C2×D7311yescharacteristic
358#436—1464no—
359C2×C4⋊C8—731no—
360C2×C4⋊C8—731no—
361C2×C4⋊C8—731no—
362C2×C22⋊C8—731no—
363C2×C22⋊C8—731no—
364C2×C22⋊C8—731no—
365C2×C22⋊C8—731no—
366C2×C22⋊C8—731no—
367#405—1464no—
368C2×#97—731no—
369C2×#97—731no—
370C2×#97—731no—
371C2×C4×C8—731no—
372C2×C4×C8—731no—
373C2×C4×C8—731no—
374C2×C4×C8—731no—
375#400Dic7311yescharacteristic
376#399Dic7311yescharacteristic
377#398Dic7311yescharacteristic
378#397Dic7311yescharacteristic
379#397Dic7311yescharacteristic
380#397Dic7311yescharacteristic
381#394Dic7311yescharacteristic
382#394Dic7311yescharacteristic
383C4×C4⋊C4C2×D7311yescharacteristic
384C4×C4⋊C4C2×D7311yescharacteristic
385C4×C22⋊C4C2×D7311yescharacteristic
386C4×C22⋊C4C2×D7311yescharacteristic
387C4×C22⋊C4C2×D7311yescharacteristic
388#336—731no—
389#336—731no—
390#336—731no—
391#336—731no—
392#336—731no—
393#336—731no—
394#336—731no—
395#336—731no—
396#336—731no—
397#336—731no—
398C22×D4C2×Dic7311yescharacteristic
399C23×C4C22×D7311yescharacteristic
400C23×C4C22×D7311yescharacteristic
401C2×M16—734no—
402C2×M16—1462no—
403C2×M16—1462no—
404C2×M16—1462no—
405C2×M16—1462no—
406C2×M16—1462no—
407C22×C8—731no—
408C22×C8—731no—
409C22×C8—731no—
410C22×C8—731no—
411C22×C8—731no—
412C22×C8—731no—
413C22×C8—731no—
414C22×C8—731no—
415C22×C8—1462no—
416C22×C8—1462no—
417C22×C8—1462no—
418C4×D4—22no—
419C4×D4—22no—
420#117—22no—
421#117—22no—
422C2×C4⋊C4C2×Dic7311yescharacteristic
423C2×C4⋊C4C2×Dic7311yescharacteristic
424C2×C4⋊C4C2×Dic7311yescharacteristic
425C2×C4⋊C4C2×Dic7311yescharacteristic
426C2×C4⋊C4C2×Dic7311yescharacteristic
427C2×C4⋊C4C2×Dic7311yescharacteristic
428C2×C4⋊C4C2×Dic7311yescharacteristic
429C2×C22⋊C4C2×Dic7311yescharacteristic
430C2×C22⋊C4C2×Dic7311yescharacteristic
431C2×C22⋊C4C2×Dic7311yescharacteristic
432C2×C22⋊C4C2×Dic7311yescharacteristic
433C2×C22⋊C4C2×Dic7311yescharacteristic
434C2×C22⋊C4C2×Dic7311yescharacteristic
435C2×C22⋊C4C2×Dic7311yescharacteristic
436C2×C22⋊C4C2×Dic7311yescharacteristic
437C2×C22⋊C4C2×Dic7311yescharacteristic
438C2×C22⋊C4C2×Dic7311yescharacteristic
439C2×C42C22×D7311yescharacteristic
440C2×C42C22×D7311yescharacteristic
441C2×C42C22×D7311yescharacteristic
442C2×C42C22×D7311yescharacteristic
443C2×C42C22×D7311yescharacteristic
444C4⋊C8—1462no—
445C4⋊C8—1462no—
446C4⋊C8—1462no—
447C22⋊C8—1462no—
448C22⋊C8—1462no—
449C22⋊C8—1462no—
450C22⋊C8—1462no—
451C22⋊C8—1462no—
452#97—1462no—
453#97—1462no—
454#97—1462no—
455C4×C8—1462no—
456C4×C8—1462no—
457C4×C8—1462no—
458C4×C8—1462no—
459#95C2×Dic7311yescharacteristic
460#95C2×Dic7311yescharacteristic
461#95C2×Dic7311yescharacteristic
462#95C2×Dic7311yescharacteristic
463#95C2×Dic7311yescharacteristic
464#95C2×Dic7311yescharacteristic
465#95C2×Dic7311yescharacteristic
466#95C2×Dic7311yescharacteristic
467#95C2×Dic7311yescharacteristic
468#95C2×Dic7311yescharacteristic
469C24C22×Dic7311yescharacteristic
470C24C22×Dic7311yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—41no—
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—21no—
484C22×C4C22×Dic7311yescharacteristic
485C22×C4C22×Dic7311yescharacteristic
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×C4D4×D7312yes—
497C22×C4#1192402712yes—
498C22×C4C23×D7311yescharacteristic
499M16—2924no—
500M16—1468no—
501C2×C8—732no—
502C2×C8—732no—
503C2×C8—732no—
504C2×C8—732no—
505C2×C8—732no—
506C2×C8—732no—
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—1468no—
520C2×C8—1461no—
521C2×C8—1461no—
522C2×C8—1461no—
523C2×C8—1461no—
524C2×C8—1461no—
525C2×C8—1461no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—41no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23D4×Dic7312yes—
567C23C23×Dic7311yescharacteristic
568D4—44no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
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—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4D4×Dic7312yes—
611C2×C4#1455659812yes—
612C2×C4#1455659812yes—
613C2×C4C2×D4×D7311yescharacteristic
614C2×C4#41×D7311yescharacteristic
615C2×C4#41×D7311yescharacteristic
616C2×C4#41×D7311yescharacteristic
617C2×C4#41×D7311yescharacteristic
618C2×C4C2×#1192402711yescharacteristic
619C8—2921no—
620C8—2921no—
621C8—2921no—
622C8—2921no—
623C8—734no—
624C8—1462no—
625C8—1462no—
626C8—1462no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C2×D4×Dic7311yescharacteristic
642C22#41×Dic7311yescharacteristic
643C22#41×Dic7311yescharacteristic
644C22C2×#1455659811yescharacteristic
645C22C2×#1455659811yescharacteristic
646C22#1798935411yescharacteristic
647C22#1798935411yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4#123×D7311yescharacteristic
661C4#1798909511yescharacteristic
662C4#1798911411yescharacteristic
663C4#1798911411yescharacteristic
664C2—42no—
665C2—81no—
666C2#123×Dic7311yescharacteristic
667C2#2261865811yescharacteristic
668C2#2261867511yescharacteristic
669C2#2261890711yescharacteristic
670C2#2261891811yescharacteristic
671C2#2261893611yescharacteristic
672C2#2261893611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D73
commutator, socleC23×C73C23×C4
FittingC73×#2395C2
prime radicalC22×D4×C73C2×C4
cosocleC22×C4×C73C24
hypercenter#2395D73
hypocenterC73#21571
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
2. C2×#17988543C2semidirect
3. #22610546C2semidirect
4. #22610539C2semidirect
5. #22610497C2semidirect
6. #22610490C2semidirect
8. #22610111C2semidirect
9. #22610002C2semidirect
10. #22609806C2semidirect
11. C4⋊C4×#10596831C2semidirect
12. #22609715C2semidirect
13. #22609715C2semidirect
14. #22609715C2semidirect
352. C73#21571semidirect

Maximal subgroups

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

subgroupindex
C2×#179886652
C2×#179885432
#226105462
#226105392
#226104972
#226104902
#226102242
#226101112
#226100022
#226098062
C4⋊C4×#105968312
#226097152
C73×#23952
#2157173