Finite Group Databasebeta

← C3×#10606410 #14329452

Subgroups — C3×#10606410 #14329452

Order 1920.

1664 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4086C211yesmaximal, characteristic
2C2×C3×C4×C22⋊D5C212yesmaximal, complemented
3C2×C3×#4027C212yesmaximal, complemented
4C3×C5×#386C211yesmaximal, characteristic, complemented
5C3×#65509C211yesmaximal, characteristic, complemented
6C3×#65246C212yesmaximal, complemented
7C3×#65246C212yesmaximal, complemented
8C3×#64954C212yesmaximal, complemented
9C3×#64938C212yesmaximal, complemented
10#10606410C311yesmaximal, characteristic, direct product factor, Hall
11C22×C3×C5×D4C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C22×C3×C22⋊D5C2212yes—
14C22×C3×C22⋊D5C2212yes—
15C23×C3×Dic5C2211yescharacteristic
16C22×C3×D20C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×C3×C22⋊Dic5C2212yes—
21C2×C3×C22⋊Dic5C2211yescharacteristic
22C3×#4086C418yescomplemented
23C3×C4×C22⋊D5—28no—
24C2×C3×#685C2212yes—
25C2×C3×#685C2212yes—
26C2×C3×#685C2212yes—
27C2×C3×#683C2212yes—
28C2×C3×#683C2212yes—
29C2×C3×C4×Dic5C2212yes—
30C2×C3×C4×Dic5C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C3×#4027—28no—
33C3×C5×#95C2212yes—
34C3×#3963C2212yes—
35C3×#2366—51nomaximal, Hall
36C2×#4086C2×C311yescharacteristic
37C2×C4×C22⋊D5C2×C312yescomplemented
38C2×#4027C2×C312yescomplemented
39C5×#386C2×C311yescharacteristic, complemented
40#65509C2×C311yescharacteristic, complemented
41#65246C2×C312yescomplemented
42#65246C2×C312yescomplemented
43#64954C2×C312yescomplemented
44#64938C2×C312yescomplemented
45C24×C3×C5C2311yescharacteristic
46C24×C3×C5C2311yescharacteristic
47C23×C3×D5C2312yes—
48C2×C3×C5×D4—41no—
49C2×C3×C5×D4—41no—
50C2×C3×C5×D4C2×C414yescomplemented
51C22×C3×C4×C5—24no—
52C22×C3×C4×C5—41no—
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2312yes—
56C2×C3×C22⋊D5—24no—
57C2×C3×C22⋊D5—24no—
58C2×C3×C22⋊D5—24no—
59C2×C3×C22⋊D5—24no—
60C2×C3×C22⋊D5C2×C418yescomplemented
61C2×C3×C22⋊D5C2×C418yescomplemented
62C22×C3×Dic5—24no—
63C22×C3×Dic5—41no—
64C22×C3×Dic5C2312yes—
65C22×C3×Dic5C2312yes—
66C22×C3×Dic5C2312yes—
67C2×C3×D20—41no—
68C2×C3×D20—41no—
69C2×C3×D20C2×C414yescomplemented
70C2×C3×C4×D5—24no—
71C2×C3×C4×D5—24no—
72C2×C3×C4×D5—42no—
73C3×C5×C22⋊C4—24no—
74C3×C5×C22⋊C4—41no—
75C3×C22⋊Dic5—24no—
76C3×C22⋊Dic5—41no—
77C3×#685—24no—
78C3×#685—24no—
79C3×#685—42no—
80C3×#683—24no—
81C3×#683D418yescomplemented
82C3×C4×Dic5—24no—
83C3×C4×Dic5—24no—
84C3×C4×Dic5C2×C414yescomplemented
85C2×C3×#127—51no—
86C2×C3×C4×D4—52no—
87C2×C3×C4×D4—52no—
88C3×#390—52no—
89C3×#390—52no—
90C3×#386—51no—
91C3×#386—52no—
92C3×#386D511yescharacteristic, complemented
93C3×C4×C4⋊C4—52no—
94C22×C5×D4C22×C311yescharacteristic
95C23×C4×C5C22×C311yescharacteristic
96C22×C22⋊D5C22×C312yes—
97C22×C22⋊D5C22×C312yes—
98C23×Dic5C22×C311yescharacteristic
99C22×D20C22×C311yescharacteristic
100C22×C4×D5C22×C312yes—
101C2×C5×C22⋊C4C22×C312yes—
102C2×C5×C22⋊C4C22×C311yescharacteristic
103C2×C22⋊Dic5C22×C312yes—
104C2×C22⋊Dic5C22×C311yescharacteristic
105#4086C3×C418yescomplemented
106C4×C22⋊D5—28no—
107C2×#685C22×C312yes—
108C2×#685C22×C312yes—
109C2×#685C22×C312yes—
110C2×#683C22×C312yes—
111C2×#683C22×C312yes—
112C2×C4×Dic5C22×C312yes—
113C2×C4×Dic5C22×C312yes—
114C2×C4×Dic5C22×C311yescharacteristic
115#4027—28no—
116C5×#95C22×C312yes—
117#3963C22×C312yes—
118#2366—51noSylow
119C23×C3×C5—22no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—21no—
124C23×C3×C5—21no—
125C23×C3×C5—21no—
126C23×C3×C5—21no—
127C23×C3×C5C22×C412yes—
128C23×C3×C5C22×C412yes—
129C23×C3×C5C2411yescharacteristic
130C22×C3×D5—22no—
131C22×C3×D5—22no—
132C22×C3×D5—22no—
133C22×C3×D5—22no—
134C22×C3×D5—22no—
135C22×C3×D5—22no—
136C22×C3×D5C22×C414yes—
137C3×C5×D4—44no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—44no—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C2×D414yes—
148C3×C22⋊D5—216no—
149C3×C22⋊D5—216no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—22no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—44no—
156C2×C3×Dic5C22×C414yes—
157C2×C3×Dic5C2×D414yes—
158C2×C3×Dic5C2×D414yes—
159C2×C3×Dic5#4114yes—
160C3×D20—44no—
161C3×C4×D5—48no—
162C22×C3×D4—52no—
163C22×C3×D4—52no—
164C22×C3×D4—51no—
165C22×C3×D4C2×D511yescharacteristic
166C23×C3×C4—51no—
167C23×C3×C4—52no—
168C23×C3×C4C2×D511yescharacteristic
169C3×#127—58no—
170C3×C4×D4—108no—
171C3×C4×D4—108no—
172C2×C3×C4⋊C4—52no—
173C2×C3×C4⋊C4—52no—
174C2×C3×C22⋊C4—52no—
175C2×C3×C22⋊C4—52no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4—51no—
178C2×C3×C22⋊C4—52no—
179C2×C3×C22⋊C4C2×D512yes—
180C2×C3×C22⋊C4C2×D511yescharacteristic
181C2×C3×C42—51no—
182C2×C3×C42—52no—
183C2×C3×C42—52no—
184C3×#95—52no—
185C3×#95C2×D512yes—
186C24×C5C23×C311yescharacteristic
187C24×C5C23×C311yescharacteristic
188C23×D5C23×C312yes—
189C2×C5×D4—41no—
190C2×C5×D4—41no—
191C2×C5×D4C2×C3×C414yescomplemented
192C22×C4×C5—24no—
193C22×C4×C5—41no—
194C22×C4×C5C23×C312yes—
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C312yes—
197C2×C22⋊D5—24no—
198C2×C22⋊D5—24no—
199C2×C22⋊D5—24no—
200C2×C22⋊D5—24no—
201C2×C22⋊D5C2×C3×C418yescomplemented
202C2×C22⋊D5C2×C3×C418yescomplemented
203C22×Dic5—24no—
204C22×Dic5—41no—
205C22×Dic5C23×C312yes—
206C22×Dic5C23×C312yes—
207C22×Dic5C23×C312yes—
208C2×D20—41no—
209C2×D20—41no—
210C2×D20C2×C3×C414yescomplemented
211C2×C4×D5—24no—
212C2×C4×D5—24no—
213C2×C4×D5—42no—
214C5×C22⋊C4—24no—
215C5×C22⋊C4—41no—
216C22⋊Dic5—24no—
217C22⋊Dic5—41no—
218#685—24no—
219#685—24no—
220#685—42no—
221#683—24no—
222#683C3×D418yescomplemented
223C4×Dic5—24no—
224C4×Dic5—24no—
225C4×Dic5C2×C3×C414yescomplemented
226C2×#127—51no—
227C2×C4×D4—52no—
228C2×C4×D4—52no—
229#390—52no—
230#390—52no—
231#386—51no—
232#386—52no—
233#386C3×D511yescharacteristic, complemented
234C4×C4⋊C4—52no—
235C22×C3×C5—24no—
236C22×C3×C5—24no—
237C22×C3×C5—22no—
238C22×C3×C5—22no—
239C22×C3×C5—41no—
240C22×C3×C5—41no—
241C22×C3×C5—42no—
242C22×C3×C5—42no—
243C22×C3×C5—41no—
244C22×C3×C5—41no—
245C22×C3×C5C23×C411yescharacteristic
246C22×C3×C5C22×D412yes—
247C22×C3×C5C2×#4112yes—
248C22×C3×C5H(5,𝔽2)11yescharacteristic
249C22×C3×C5H(5,𝔽2)11yescharacteristic
250C2×C3×D5—24no—
251C2×C3×D5—24no—
252C2×C3×D5—24no—
253C2×C3×D5—42no—
254C2×C3×D5—42no—
255C2×C3×D5—42no—
256C2×C3×D5—42no—
257C3×C4×C5—22no—
258C3×C4×C5—24no—
259C3×C4×C5—42no—
260C3×Dic5—24no—
261C3×Dic5—42no—
262C3×Dic5C4×D418yescomplemented
263C24×C3—52no—
264C24×C3C22×D511yescharacteristic
265C24×C3C22×D511yescharacteristic
266C2×C3×D4—41no—
267C2×C3×D4—41no—
268C2×C3×D4—58no—
269C2×C3×D4—58no—
270C2×C3×D4—54no—
271C2×C3×D4—104no—
272C2×C3×D4—104no—
273C2×C3×D4—104no—
274C2×C3×D4—104no—
275C2×C3×D4—201no—
276C2×C3×D4—201no—
277C2×C3×D4C4×D514yescomplemented
278C22×C3×C4—24no—
279C22×C3×C4—41no—
280C22×C3×C4—52no—
281C22×C3×C4—52no—
282C22×C3×C4—52no—
283C22×C3×C4—104no—
284C22×C3×C4—104no—
285C22×C3×C4—104no—
286C22×C3×C4—202no—
287C22×C3×C4—201no—
288C22×C3×C4C22×D512yes—
289C22×C3×C4C22×D511yescharacteristic
290C22×C3×C4C22×D512yes—
291C3×C4⋊C4—58no—
292C3×C4⋊C4—104no—
293C3×C22⋊C4—24no—
294C3×C22⋊C4—41no—
295C3×C22⋊C4—104no—
296C3×C22⋊C4—104no—
297C3×C22⋊C4—104no—
298C3×C22⋊C4—202no—
299C3×C22⋊C4—201no—
300C3×C42—54no—
301C3×C42—104no—
302C3×C42—104no—
303C23×C5—22no—
304C23×C5—22no—
305C23×C5—22no—
306C23×C5—22no—
307C23×C5—21no—
308C23×C5—21no—
309C23×C5—21no—
310C23×C5—21no—
311C23×C5C22×C3×C412yes—
312C23×C5C22×C3×C412yes—
313C23×C5C24×C311yescharacteristic
314C22×D5—22no—
315C22×D5—22no—
316C22×D5—22no—
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—22no—
320C22×D5C22×C3×C414yes—
321C5×D4—44no—
322C2×C4×C5—22no—
323C2×C4×C5—22no—
324C2×C4×C5—21no—
325C2×C4×C5—21no—
326C2×C4×C5—22no—
327C2×C4×C5—22no—
328C2×C4×C5—22no—
329C2×C4×C5—44no—
330C2×C4×C5C22×C3×C412yes—
331C2×C4×C5C2×C3×D414yes—
332C22⋊D5—216no—
333C22⋊D5—216no—
334C2×Dic5—22no—
335C2×Dic5—22no—
336C2×Dic5—22no—
337C2×Dic5—22no—
338C2×Dic5—22no—
339C2×Dic5—44no—
340C2×Dic5C22×C3×C414yes—
341C2×Dic5C2×C3×D414yes—
342C2×Dic5C2×C3×D414yes—
343C2×Dic5C3×#4114yes—
344D20—44no—
345C4×D5—48no—
346C22×D4—52no—
347C22×D4—52no—
348C22×D4—51no—
349C22×D4C2×C3×D511yescharacteristic
350C23×C4—51no—
351C23×C4—52no—
352C23×C4C2×C3×D511yescharacteristic
353#127—58no—
354C4×D4—108no—
355C4×D4—108no—
356C2×C4⋊C4—52no—
357C2×C4⋊C4—52no—
358C2×C22⋊C4—52no—
359C2×C22⋊C4—52no—
360C2×C22⋊C4—52no—
361C2×C22⋊C4—51no—
362C2×C22⋊C4—52no—
363C2×C22⋊C4C2×C3×D512yes—
364C2×C22⋊C4C2×C3×D511yescharacteristic
365C2×C42—51no—
366C2×C42—52no—
367C2×C42—52no—
368#95—52no—
369#95C2×C3×D512yes—
370C2×C3×C5—42no—
371C2×C3×C5—42no—
372C2×C3×C5C2×C4×D412yes—
373C2×C3×C5#51811yescharacteristic
374C2×C3×C5D4211yescharacteristic
375C2×C3×C5#55012yes—
376C2×C3×C5#55911yescharacteristic
377C3×D5—44no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—54no—
387C23×C3—102no—
388C23×C3—102no—
389C23×C3—102no—
390C23×C3—102no—
391C23×C3—102no—
392C23×C3—102no—
393C23×C3C2×C4×D512yes—
394C23×C3C2×C4×D512yes—
395C23×C3C23×D511yescharacteristic
396C3×D4—44no—
397C3×D4—1016no—
398C3×D4—1016no—
399C3×D4—204no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—44no—
408C2×C3×C4—54no—
409C2×C3×C4—54no—
410C2×C3×C4—54no—
411C2×C3×C4—54no—
412C2×C3×C4—102no—
413C2×C3×C4—102no—
414C2×C3×C4—102no—
415C2×C3×C4—102no—
416C2×C3×C4—102no—
417C2×C3×C4—208no—
418C2×C3×C4—204no—
419C2×C3×C4C2×C4×D512yes—
420C2×C3×C4D4×D514yes—
421C22×C5—24no—
422C22×C5—24no—
423C22×C5—22no—
424C22×C5—22no—
425C22×C5—41no—
426C22×C5—41no—
427C22×C5—41no—
428C22×C5—41no—
429C22×C5—42no—
430C22×C5—42no—
431C22×C5C23×C3×C411yescharacteristic
432C22×C5C22×C3×D412yes—
433C22×C5C2×C3×#4112yes—
434C22×C5C3×H(5,𝔽2)11yescharacteristic
435C22×C5C3×H(5,𝔽2)11yescharacteristic
436C2×D5—24no—
437C2×D5—24no—
438C2×D5—24no—
439C2×D5—42no—
440C2×D5—42no—
441C2×D5—42no—
442C2×D5—42no—
443C4×C5—22no—
444C4×C5—24no—
445C4×C5—42no—
446Dic5—24no—
447Dic5—42no—
448Dic5C3×C4×D418yescomplemented
449C24—52no—
450C24C22×C3×D511yescharacteristic
451C24C22×C3×D511yescharacteristic
452C2×D4—41no—
453C2×D4—41no—
454C2×D4—58no—
455C2×D4—58no—
456C2×D4—54no—
457C2×D4—104no—
458C2×D4—104no—
459C2×D4—104no—
460C2×D4—104no—
461C2×D4—201no—
462C2×D4—201no—
463C2×D4C3×C4×D514yescomplemented
464C22×C4—24no—
465C22×C4—41no—
466C22×C4—52no—
467C22×C4—52no—
468C22×C4—52no—
469C22×C4—104no—
470C22×C4—104no—
471C22×C4—104no—
472C22×C4—202no—
473C22×C4—201no—
474C22×C4C22×C3×D512yes—
475C22×C4C22×C3×D511yescharacteristic
476C22×C4C22×C3×D512yes—
477C4⋊C4—58no—
478C4⋊C4—104no—
479C22⋊C4—24no—
480C22⋊C4—41no—
481C22⋊C4—104no—
482C22⋊C4—104no—
483C22⋊C4—104no—
484C22⋊C4—202no—
485C22⋊C4—201no—
486C42—54no—
487C42—104no—
488C42—104no—
489C3×C5#236611yescharacteristic, complemented, Hall
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—104no—
501C22×C3—104no—
502C22×C3—104no—
503C22×C3—202no—
504C22×C3—202no—
505C22×C3—202no—
506C22×C3—202no—
507C22×C3C22×C4×D511yescharacteristic
508C22×C3C2×D4×D512yes—
509C22×C3#414411yescharacteristic
510C22×C3#414411yescharacteristic
511C22×C3D5×#4112yes—
512C3×C4—22no—
513C3×C4—24no—
514C3×C4—42no—
515C3×C4—58no—
516C3×C4—104no—
517C3×C4—202no—
518C2×C5—42no—
519C2×C5—42no—
520C2×C5C2×C3×C4×D412yes—
521C2×C5C3×#51811yescharacteristic
522C2×C5C3×D4211yescharacteristic
523C2×C5C3×#55012yes—
524C2×C5C3×#55911yescharacteristic
525D5—44no—
526C23—22no—
527C23—22no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—22no—
533C23—22no—
534C23—54no—
535C23—102no—
536C23—102no—
537C23—102no—
538C23—102no—
539C23—102no—
540C23—102no—
541C23C2×C3×C4×D512yes—
542C23C2×C3×C4×D512yes—
543C23C23×C3×D511yescharacteristic
544D4—44no—
545D4—1016no—
546D4—1016no—
547D4—204no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—44no—
556C2×C4—54no—
557C2×C4—54no—
558C2×C4—54no—
559C2×C4—54no—
560C2×C4—102no—
561C2×C4—102no—
562C2×C4—102no—
563C2×C4—102no—
564C2×C4—102no—
565C2×C4—208no—
566C2×C4—204no—
567C2×C4C2×C3×C4×D512yes—
568C2×C4C3×D4×D514yes—
569C2×C3—42no—
570C2×C3—42no—
571C2×C3—204no—
572C2×C3#6582011yescharacteristic
573C2×C3C4×D4×D512yes—
574C2×C3#6592411yescharacteristic
575C2×C3#6593312yes—
576C2×C3#6599811yescharacteristic
577C5C3×#236611yescharacteristic, complemented, Sylow
578C22—24no—
579C22—24no—
580C22—22no—
581C22—22no—
582C22—41no—
583C22—41no—
584C22—42no—
585C22—42no—
586C22—41no—
587C22—41no—
588C22—104no—
589C22—104no—
590C22—104no—
591C22—202no—
592C22—202no—
593C22—202no—
594C22—202no—
595C22C22×C3×C4×D511yescharacteristic
596C22C2×C3×D4×D512yes—
597C22C3×#414411yescharacteristic
598C22C3×#414411yescharacteristic
599C22C3×D5×#4112yes—
600C4—24no—
601C4—22no—
602C4—42no—
603C4—58no—
604C4—104no—
605C4—202no—
606C3#1060641011yescharacteristic, direct product factor, Sylow
607C2—42no—
608C2—42no—
609C2—204no—
610C2C3×#6582011yescharacteristic
611C2C3×C4×D4×D512yes—
612C2C3×#6592411yescharacteristic
613C2C3×#6593312yes—
614C2C3×#6599811yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#386C2
socleC23×C3×C5C24
prime radicalC2×C3×#4086C2
cosocleC23×C5C24×C3
hypercenterC3×#386D5
hypocenterC5C3×#2366
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#386

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×C22⋊D5C2semidirect
3. C2×C3×#4027C2semidirect
4. C3×C5×#386C2semidirect
5. C3×#65509C2semidirect
6. C3×#65246C2semidirect
7. C3×#65246C2semidirect
8. C3×#64954C2semidirect
9. C3×#64938C2semidirect
10. #10606410C3direct (N × H)
22. C3×#4086C4semidirect
37. C2×C4×C22⋊D5C2×C3semidirect
38. C2×#4027C2×C3semidirect
39. C5×#386C2×C3semidirect
40. #65509C2×C3semidirect
41. #65246C2×C3semidirect
42. #65246C2×C3semidirect
43. #64954C2×C3semidirect
44. #64938C2×C3semidirect
50. C2×C3×C5×D4C2×C4semidirect
60. C2×C3×C22⋊D5C2×C4semidirect
61. C2×C3×C22⋊D5C2×C4semidirect
69. C2×C3×D20C2×C4semidirect
81. C3×#683D4semidirect
84. C3×C4×Dic5C2×C4semidirect
92. C3×#386D5semidirect
105. #4086C3×C4semidirect
191. C2×C5×D4C2×C3×C4semidirect
201. C2×C22⋊D5C2×C3×C4semidirect
202. C2×C22⋊D5C2×C3×C4semidirect
210. C2×D20C2×C3×C4semidirect
222. #683C3×D4semidirect
225. C4×Dic5C2×C3×C4semidirect
233. #386C3×D5semidirect
262. C3×Dic5C4×D4semidirect
277. C2×C3×D4C4×D5semidirect
448. Dic5C3×C4×D4semidirect
463. C2×D4C3×C4×D5semidirect
489. C3×C5#2366semidirect
577. C5C3×#2366semidirect
606. C3#10606410direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40862
C2×C3×C4×C22⋊D52
C2×C3×#40272
C3×C5×#3862
C3×#655092
C3×#652462
C3×#649542
C3×#649382
#106064103
C3×#23665