Finite Group Databasebeta

← #14418592

Subgroups — #14418592

Order 1920.

696 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65912C211yesmaximal, characteristic
2#11751125C211yesmaximal, characteristic, complemented
3C5×#5024C211yesmaximal, characteristic, complemented
4#11747007C211yesmaximal, characteristic
5#11746985C211yesmaximal, characteristic
6#11746985C211yesmaximal, characteristic
7#11746975C211yesmaximal, characteristic
8#11746974C211yesmaximal, characteristic
9D5×#803C211yesmaximal, characteristic
10#11746862C211yesmaximal, characteristic, complemented
11#11746861C211yesmaximal, characteristic, complemented
12#11746848C211yesmaximal, characteristic, complemented
13#11746848C211yesmaximal, characteristic, complemented
14#11746847C211yesmaximal, characteristic, complemented
15#11746847C211yesmaximal, characteristic, complemented
16#10611690—31nomaximal, Hall
17C3×C4×C5×Q8C2211yescharacteristic
18C3×#4092C411yescharacteristic
19C3×#4090C411yescharacteristic
20C3×#4043C411yescharacteristic
21C3×#4042C411yescharacteristic
22C3×#4042C411yescharacteristic
23C3×#4035C411yescharacteristic
24C3×#4035C411yescharacteristic
25C3×#4034C411yescharacteristic
26C3×#4018C2211yescharacteristic
27C3×#4018C2211yescharacteristic
28C3×C42×D5C2211yescharacteristic
29C3×C4×Dic10C2211yescharacteristic
30C3×C4×Dic10C2211yescharacteristic
31C3×C4×Dic10C2211yescharacteristic
32C2×#6649C2211yescharacteristic
33C2×#6649C2211yescharacteristic
34C2×D5×C3⋊C8C2211yescharacteristic
35C2×D5×C3⋊C8C2211yescharacteristic
36C4⋊(C3⋊#168)C2211yescharacteristic
37C4⋊(C3⋊#168)C2211yescharacteristic
38C4⋊(C3⋊#168)C2211yescharacteristic
39#91087C2211yescharacteristic
40#91087C2211yescharacteristic
41C4×C3⋊#168C2211yescharacteristic
42C5×C4⋊(C3⋊C8)C2211yescharacteristic
43C5×C4⋊(C3⋊C8)C2211yescharacteristic
44C5×C4⋊(C3⋊C8)C2211yescharacteristic
45C5×#803C2211yescharacteristic
46C5×#803C2211yescharacteristic
47C4×C5×C3⋊C8C2211yescharacteristic
48#90982C2211yescharacteristic
49#90982C2211yescharacteristic
50#90982C2211yescharacteristic
51#90982C2211yescharacteristic
52#90982C2211yescharacteristic
53#90982C2211yescharacteristic
54#90952C2211yescharacteristic
55#90952C2211yescharacteristic
56#90952C2211yescharacteristic
57#90952C2211yescharacteristic
58Dic5×C3⋊C8C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#83329—51nomaximal, Hall
61#65912D311yescharacteristic
62C5×#446—31no—
63#65313—31no—
64#65128—31no—
65#65128—31no—
66#65126—31no—
67#65120—31no—
68#65117—31no—
69#65117—31no—
70#64997—31no—
71D5×#97—31no—
72#64990—31no—
73#64990—31no—
74#64978—31no—
75#64968—31no—
76C2×C3×C5×Q8C2×C411yescharacteristic
77C2×C3×C4×D5C2×C411yescharacteristic
78C2×C3×C4×D5C2×C411yescharacteristic
79C2×C3×C4×D5C2311yescharacteristic
80C2×C3×Dic10C2×C411yescharacteristic
81C2×C3×Dic10C2×C411yescharacteristic
82C2×C3×Dic10C2×C411yescharacteristic
83C3×C5×C4⋊C4C2×C411yescharacteristic
84C3×C5×C4⋊C4C2×C411yescharacteristic
85C3×C5×C4⋊C4C2×C411yescharacteristic
86C3×C42×C5C2311yescharacteristic
87C3×C42×C5C2311yescharacteristic
88C3×C42×C5C2311yescharacteristic
89C2×C3⋊#168C2311yescharacteristic
90C2×C3⋊#168C2311yescharacteristic
91C2×C3⋊#168C2311yescharacteristic
92C2×C3⋊#168C2311yescharacteristic
93C2×C5×C3⋊C8C2311yescharacteristic
94C2×C5×C3⋊C8C2311yescharacteristic
95C2×C5×C3⋊C8C2311yescharacteristic
96C2×C5×C3⋊C8C2311yescharacteristic
97C3×#685C2×C411yescharacteristic
98C3×#685C2×C411yescharacteristic
99C3×#685C2×C411yescharacteristic
100C3×#685C2×C411yescharacteristic
101C3×C4⋊Dic5C2×C411yescharacteristic
102C3×C4⋊Dic5C2×C411yescharacteristic
103C3×C4⋊Dic5C2×C411yescharacteristic
104C3×#683C2×C411yescharacteristic
105C3×#683C2×C411yescharacteristic
106C3×#683C2×C411yescharacteristic
107C3×#683C2×C411yescharacteristic
108C3×#683C2×C411yescharacteristic
109C3×#683C2×C411yescharacteristic
110C3×#683C2×C411yescharacteristic
111C3×#683C2×C411yescharacteristic
112C3×#683C2×C411yescharacteristic
113C3×#683C2×C411yescharacteristic
114C3×C4×Dic5C2×C411yescharacteristic
115C3×C4×Dic5C2×C411yescharacteristic
116C3×C4×Dic5C2311yescharacteristic
117C3×C4×Dic5C2311yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119#6649—22no—
120#6649—22no—
121D5×C3⋊C8—22no—
122D5×C3⋊C8Q814yescomplemented
123C3×#533—51no—
124#5024—51no—
125#5024—51no—
126#5024—51no—
127#5024—51no—
128#5024—51no—
129#5024—51no—
130#5024—51no—
131#5024D511yescharacteristic, complemented
132#4999—51no—
133#4999—51no—
134#4997—51no—
135#4997—51no—
136#4924—51no—
137C2×#803—51no—
138C4×C5×Q8C2×D311yescharacteristic
139#4092Dic311yescharacteristic
140#4090Dic311yescharacteristic
141C2×#676—31no—
142C2×#676—31no—
143C2×C8×D5—31no—
144C2×C8×D5—31no—
145#4043Dic311yescharacteristic
146#4042Dic311yescharacteristic
147#4042Dic311yescharacteristic
148#4035Dic311yescharacteristic
149#4035Dic311yescharacteristic
150#4034Dic311yescharacteristic
151#4018C2×D311yescharacteristic
152#4018C2×D311yescharacteristic
153C42×D5C2×D311yescharacteristic
154C4×Dic10C2×D311yescharacteristic
155C4×Dic10C2×D311yescharacteristic
156C4×Dic10C2×D311yescharacteristic
157C5×C4⋊C8—31no—
158C5×C4⋊C8—31no—
159C5×C4⋊C8—31no—
160C5×#97—31no—
161C5×#97—31no—
162C4×C5×C8—31no—
163#3947—31no—
164#3947—31no—
165#3947—31no—
166#3947—31no—
167#3946—31no—
168#3946—31no—
169#3946—31no—
170#3946—31no—
171#3946—31no—
172#3946—31no—
173C8×Dic5—31no—
174C8×Dic5—31no—
175C4⋊#168—31no—
176C4⋊#168—31no—
177C4⋊#168—31no—
178#3935—31no—
179#3935—31no—
180C4×#168—31no—
181#2961—151noSylow
182C22×C3×D5C22×C411yescharacteristic
183C3×C5×Q8—41no—
184C2×C3×C4×C5C22×C411yescharacteristic
185C2×C3×C4×C5C22×C411yescharacteristic
186C2×C3×C4×C5C22×C411yescharacteristic
187C2×C3×C4×C5C22×C411yescharacteristic
188C2×C3×C4×C5C22×C411yescharacteristic
189C2×C3×C4×C5C22×C411yescharacteristic
190C2×C3×C4×C5C2411yescharacteristic
191C2×C3×Dic5C22×C411yescharacteristic
192C2×C3×Dic5C22×C411yescharacteristic
193C2×C3×Dic5C22×C411yescharacteristic
194C2×C3×Dic5C22×C411yescharacteristic
195C2×C3×Dic5C22×C411yescharacteristic
196C2×C3×Dic5C22×C411yescharacteristic
197C2×C3×Dic5C22×C411yescharacteristic
198C3×C4×D5—41no—
199C3×C4×D5—41no—
200C3×C4×D5C2×Q812yes—
201C3×C4×D5#4112yes—
202C3×Dic10—41no—
203C3×Dic10—41no—
204C3×Dic10—41no—
205C3⋊#168—21no—
206C3⋊#168—21no—
207C3⋊#168—21no—
208C3⋊#168C2×Q812yes—
209C5×C3⋊C8—21no—
210C5×C3⋊C8—21no—
211C5×C3⋊C8—21no—
212C5×C3⋊C8C2×Q812yes—
213C3×C4⋊Q8—51no—
214C3×C4⋊Q8—51no—
215C3×#125—51no—
216C3×#125—51no—
217C3×C22⋊Q8—51no—
218C3×C22⋊Q8—51no—
219C3×C22⋊Q8—51no—
220C3×C22⋊Q8—51no—
221C3×C4×Q8—51no—
222C3×C4×Q8—51no—
223C3×C4×Q8—51no—
224C3×C4×Q8C2×D511yescharacteristic
225C3×#117—51no—
226C3×#117—51no—
227C2×C3×C42—51no—
228C2×#208—51no—
229C2×#208—51no—
230C22×C3⋊C8—51no—
231C22×C3⋊C8—51no—
232C4⋊(C3⋊C8)—51no—
233C4⋊(C3⋊C8)—51no—
234C4⋊(C3⋊C8)—51no—
235C4⋊(C3⋊C8)—51no—
236C4⋊(C3⋊C8)—51no—
237C4⋊(C3⋊C8)—51no—
238C4⋊(C3⋊C8)—51no—
239C4⋊(C3⋊C8)—51no—
240C4⋊(C3⋊C8)—51no—
241C4⋊(C3⋊C8)C2×D511yescharacteristic
242C4⋊(C3⋊C8)C2×D511yescharacteristic
243C4⋊(C3⋊C8)C2×D511yescharacteristic
244#803—51no—
245#803—51no—
246#803—51no—
247#803—51no—
248#803—51no—
249#803—51no—
250#803C2×D511yescharacteristic
251#803C2×D511yescharacteristic
252C4×C3⋊C8—51no—
253C4×C3⋊C8—51no—
254C4×C3⋊C8—51no—
255C4×C3⋊C8C2×D511yescharacteristic
256C2×C5×Q8C2×Dic311yescharacteristic
257C2×C4×D5C2×Dic311yescharacteristic
258C2×C4×D5C2×Dic311yescharacteristic
259C2×C4×D5C22×D311yescharacteristic
260C2×Dic10C2×Dic311yescharacteristic
261C2×Dic10C2×Dic311yescharacteristic
262C2×Dic10C2×Dic311yescharacteristic
263C2×C5×C8—31no—
264C2×C5×C8—31no—
265C2×C5×C8—31no—
266C2×C5×C8—31no—
267C5×C4⋊C4C2×Dic311yescharacteristic
268C5×C4⋊C4C2×Dic311yescharacteristic
269C5×C4⋊C4C2×Dic311yescharacteristic
270C42×C5C22×D311yescharacteristic
271C42×C5C22×D311yescharacteristic
272C42×C5C22×D311yescharacteristic
273#685C2×Dic311yescharacteristic
274#685C2×Dic311yescharacteristic
275#685C2×Dic311yescharacteristic
276#685C2×Dic311yescharacteristic
277C4⋊Dic5C2×Dic311yescharacteristic
278C4⋊Dic5C2×Dic311yescharacteristic
279C4⋊Dic5C2×Dic311yescharacteristic
280#683C2×Dic311yescharacteristic
281#683C2×Dic311yescharacteristic
282#683C2×Dic311yescharacteristic
283#683C2×Dic311yescharacteristic
284#683C2×Dic311yescharacteristic
285#683C2×Dic311yescharacteristic
286#683C2×Dic311yescharacteristic
287#683C2×Dic311yescharacteristic
288#683C2×Dic311yescharacteristic
289#683C2×Dic311yescharacteristic
290C4×Dic5C2×Dic311yescharacteristic
291C4×Dic5C2×Dic311yescharacteristic
292C4×Dic5C22×D311yescharacteristic
293C4×Dic5C22×D311yescharacteristic
294C4×Dic5C22×D311yescharacteristic
295C2×#168—31no—
296C2×#168—31no—
297C2×#168—31no—
298C2×#168—31no—
299#676—62no—
300#676—62no—
301C8×D5—34no—
302C8×D5—62no—
303#533—51no—
304#446—31no—
305#446—151no—
306#446—151no—
307#446—151no—
308#446—151no—
309#446—151no—
310#446—151no—
311#446—151no—
312#424—151no—
313#424—151no—
314#423—151no—
315#405—151no—
316#405—151no—
317C2×#97—151no—
318C22×C3×C5C23×C411yescharacteristic
319C2×C3×D5—21no—
320C2×C3×D5—21no—
321C2×C3×D5C4×Q812yes—
322C3×C4×C5—21no—
323C3×C4×C5—21no—
324C3×C4×C5—21no—
325C3×C4×C5—21no—
326C3×C4×C5—21no—
327C3×C4×C5—21no—
328C3×C4×C5C22×Q811yescharacteristic
329C3×C4×C5C2×#4111yescharacteristic
330C3×Dic5—21no—
331C3×Dic5—21no—
332C3×Dic5—21no—
333C3×Dic5—21no—
334C3×Dic5—21no—
335C3×Dic5—21no—
336C3×Dic5C4×Q812yes—
337C2×C3×Q8—51no—
338C2×C3×Q8—51no—
339C2×C3×Q8—51no—
340C2×C3×Q8C4×D511yescharacteristic
341C22×C3×C4—51no—
342C22×C3×C4—51no—
343C22×C3×C4—51no—
344C3×C4⋊C4—51no—
345C3×C4⋊C4—51no—
346C3×C4⋊C4—51no—
347C3×C4⋊C4—51no—
348C3×C4⋊C4—51no—
349C3×C4⋊C4—51no—
350C3×C4⋊C4—51no—
351C3×C4⋊C4—51no—
352C3×C4⋊C4—51no—
353C3×C4⋊C4—51no—
354C3×C4⋊C4—51no—
355C3×C4⋊C4—51no—
356C3×C4⋊C4—51no—
357C3×C4⋊C4C4×D511yescharacteristic
358C3×C4⋊C4C4×D511yescharacteristic
359C3×C4⋊C4C4×D511yescharacteristic
360C3×C22⋊C4—51no—
361C3×C22⋊C4—51no—
362C3×C22⋊C4—51no—
363C3×C22⋊C4—51no—
364C3×C42—51no—
365C3×C42—51no—
366C3×C42—51no—
367C3×C42—51no—
368C3×C42—51no—
369C3×C42C22×D511yescharacteristic
370C3×C42C22×D511yescharacteristic
371C3×C42C22×D511yescharacteristic
372#208—102no—
373#208—102no—
374C2×C3⋊C8—51no—
375C2×C3⋊C8—54no—
376C2×C3⋊C8—51no—
377C2×C3⋊C8—51no—
378C2×C3⋊C8—51no—
379C2×C3⋊C8—102no—
380C2×C3⋊C8C22×D511yescharacteristic
381C2×C3⋊C8C22×D511yescharacteristic
382C2×C3⋊C8C22×D511yescharacteristic
383C2×C3⋊C8C22×D511yescharacteristic
384C22×D5C22×Dic311yescharacteristic
385C5×Q8—41no—
386C2×C4×C5C22×Dic311yescharacteristic
387C2×C4×C5C22×Dic311yescharacteristic
388C2×C4×C5C22×Dic311yescharacteristic
389C2×C4×C5C22×Dic311yescharacteristic
390C2×C4×C5C22×Dic311yescharacteristic
391C2×C4×C5C22×Dic311yescharacteristic
392C2×C4×C5C23×D311yescharacteristic
393C2×Dic5C22×Dic311yescharacteristic
394C2×Dic5C22×Dic311yescharacteristic
395C2×Dic5C22×Dic311yescharacteristic
396C2×Dic5C22×Dic311yescharacteristic
397C2×Dic5C22×Dic311yescharacteristic
398C2×Dic5C22×Dic311yescharacteristic
399C2×Dic5C22×Dic311yescharacteristic
400C4×D5—41no—
401C4×D5—41no—
402C4×D5D3×Q812yes—
403C4×D5#23912yes—
404Dic10—41no—
405Dic10—41no—
406Dic10—41no—
407C5×C8—32no—
408C5×C8—61no—
409C5×C8—61no—
410C5×C8—61no—
411#168—32no—
412#168—61no—
413#168—61no—
414#168—61no—
415C2×M16—151no—
416C2×M16—151no—
417C22×C8—151no—
418C22×C8—151no—
419C4⋊Q8—51no—
420C4⋊Q8—51no—
421#125—51no—
422#125—51no—
423C22⋊Q8—51no—
424C22⋊Q8—51no—
425C22⋊Q8—51no—
426C22⋊Q8—51no—
427C4×Q8—51no—
428C4×Q8—51no—
429C4×Q8—51no—
430C4×Q8D3×D511yescharacteristic
431#117—51no—
432#117—51no—
433C2×C42—51no—
434C4⋊C8—31no—
435C4⋊C8—31no—
436C4⋊C8—31no—
437C4⋊C8—151no—
438C4⋊C8—151no—
439C4⋊C8—151no—
440C4⋊C8—151no—
441C4⋊C8—151no—
442C4⋊C8—151no—
443C4⋊C8—151no—
444C4⋊C8—151no—
445C4⋊C8—151no—
446#97—31no—
447#97—31no—
448#97—151no—
449#97—151no—
450#97—151no—
451#97—151no—
452#97—151no—
453#97—151no—
454C4×C8—31no—
455C4×C8—151no—
456C4×C8—151no—
457C4×C8—151no—
458C2×C3×C5C2×C4×Q811yescharacteristic
459C2×C3×C5#56811yescharacteristic
460C2×C3×C5#56811yescharacteristic
461C3×D5—22no—
462C23×C3—51no—
463C3×Q8—41no—
464C3×Q8—201no—
465C3×Q8—201no—
466C3×Q8—201no—
467C2×C3×C4—51no—
468C2×C3×C4—52no—
469C2×C3×C4—52no—
470C2×C3×C4—51no—
471C2×C3×C4—51no—
472C2×C3×C4—51no—
473C2×C3×C4—51no—
474C2×C3×C4—51no—
475C2×C3×C4—51no—
476C2×C3×C4—201no—
477C2×C3×C4—201no—
478C2×C3×C4C2×C4×D511yescharacteristic
479C2×C3×C4C2×C4×D511yescharacteristic
480C2×C3×C4C2×C4×D511yescharacteristic
481C2×C3×C4C2×C4×D511yescharacteristic
482C2×C3×C4C2×C4×D511yescharacteristic
483C2×C3×C4C2×C4×D511yescharacteristic
484C2×C3×C4C23×D511yescharacteristic
485C3⋊C8—21no—
486C3⋊C8—21no—
487C3⋊C8—21no—
488C3⋊C8—52no—
489C3⋊C8—101no—
490C3⋊C8—101no—
491C3⋊C8—101no—
492C3⋊C8Q8×D512yes—
493C22×C5C23×Dic311yescharacteristic
494C2×D5—21no—
495C2×D5—21no—
496C2×D5Q8×Dic312yes—
497C4×C5—21no—
498C4×C5—21no—
499C4×C5—21no—
500C4×C5—21no—
501C4×C5—21no—
502C4×C5—21no—
503C4×C5C2×D3×Q811yescharacteristic
504C4×C5C2×#23911yescharacteristic
505Dic5—21no—
506Dic5—21no—
507Dic5—21no—
508Dic5—21no—
509Dic5—21no—
510Dic5—21no—
511Dic5Q8×Dic312yes—
512C2×Q8—51no—
513C2×Q8—51no—
514C2×Q8—51no—
515C2×Q8D5×Dic311yescharacteristic
516C22×C4—51no—
517C22×C4—51no—
518C22×C4—51no—
519M16—302no—
520M16—302no—
521C2×C8—31no—
522C2×C8—31no—
523C2×C8—31no—
524C2×C8—31no—
525C2×C8—154no—
526C2×C8—151no—
527C2×C8—151no—
528C2×C8—151no—
529C2×C8—151no—
530C2×C8—302no—
531C4⋊C4—51no—
532C4⋊C4—51no—
533C4⋊C4—51no—
534C4⋊C4—51no—
535C4⋊C4—51no—
536C4⋊C4—51no—
537C4⋊C4—51no—
538C4⋊C4—51no—
539C4⋊C4—51no—
540C4⋊C4—51no—
541C4⋊C4—51no—
542C4⋊C4—51no—
543C4⋊C4—51no—
544C4⋊C4D5×Dic311yescharacteristic
545C4⋊C4D5×Dic311yescharacteristic
546C4⋊C4D5×Dic311yescharacteristic
547C22⋊C4—51no—
548C22⋊C4—51no—
549C22⋊C4—51no—
550C22⋊C4—51no—
551C42—51no—
552C42—51no—
553C42—51no—
554C42—51no—
555C42—51no—
556C42C2×D3×D511yescharacteristic
557C42C2×D3×D511yescharacteristic
558C42C2×D3×D511yescharacteristic
559C3×C5#296111yescharacteristic, complemented, Hall
560C22×C3—52no—
561C22×C3—101no—
562C22×C3—101no—
563C22×C3C22×C4×D511yescharacteristic
564C3×C4—21no—
565C3×C4—21no—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—21no—
570C3×C4—52no—
571C3×C4—101no—
572C3×C4—101no—
573C3×C4—101no—
574C3×C4—101no—
575C3×C4—101no—
576C3×C4—101no—
577C3×C4C2×Q8×D511yescharacteristic
578C3×C4D5×#4111yescharacteristic
579C2×C5C2×Q8×Dic311yescharacteristic
580C2×C5#581911yescharacteristic
581C2×C5#581911yescharacteristic
582D5—22no—
583C23—51no—
584Q8—41no—
585Q8—201no—
586Q8—201no—
587Q8—201no—
588C2×C4—51no—
589C2×C4—52no—
590C2×C4—52no—
591C2×C4—51no—
592C2×C4—51no—
593C2×C4—51no—
594C2×C4—51no—
595C2×C4—51no—
596C2×C4—51no—
597C2×C4—201no—
598C2×C4—201no—
599C2×C4C2×D5×Dic311yescharacteristic
600C2×C4C2×D5×Dic311yescharacteristic
601C2×C4C2×D5×Dic311yescharacteristic
602C2×C4C2×D5×Dic311yescharacteristic
603C2×C4C2×D5×Dic311yescharacteristic
604C2×C4C2×D5×Dic311yescharacteristic
605C2×C4C22×D3×D511yescharacteristic
606C8—32no—
607C8—61no—
608C8—61no—
609C8—61no—
610C8—152no—
611C8—301no—
612C8—301no—
613C8—301no—
614C2×C3—102no—
615C2×C3C4×Q8×D511yescharacteristic
616C2×C3#6607911yescharacteristic
617C2×C3#6608411yescharacteristic
618C5#8332911yescharacteristic, complemented, Sylow
619C22—52no—
620C22—101no—
621C22—101no—
622C22C22×D5×Dic311yescharacteristic
623C4—21no—
624C4—21no—
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—52no—
630C4—101no—
631C4—101no—
632C4—101no—
633C4—101no—
634C4—101no—
635C4—101no—
636C4D3×Q8×D511yescharacteristic
637C4D5×#23911yescharacteristic
638C3#1061169011yescharacteristic, complemented, Sylow
639C2—102no—
640C2#1175412011yescharacteristic
641C2Q8×D5×Dic311yescharacteristic
642C2#1175529611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C4×C5×Q8C22
prime radicalC22×C3×D5C22×C4
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5#2961
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
2. #11751125C2semidirect
3. C5×#5024C2semidirect
10. #11746862C2semidirect
11. #11746861C2semidirect
12. #11746848C2semidirect
13. #11746848C2semidirect
14. #11746847C2semidirect
15. #11746847C2semidirect
122. D5×C3⋊C8Q8semidirect
131. #5024D5semidirect
559. C3×C5#2961semidirect
618. C5#83329semidirect
638. C3#10611690semidirect

Maximal subgroups

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

subgroupindex
C3×#659122
#117511252
C5×#50242
#117470072
#117469852
#117469752
#117469742
D5×#8032
#117468622
#117468612
#117468482
#117468472
#106116903
#833295