Finite Group Databasebeta

← C2×#11755233 #14482774

Subgroups — C2×#11755233 #14482774

Order 1920.

3264 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
1C22×C5×#239C211yesmaximal, characteristic, complemented
2C22×#6772C211yesmaximal, characteristic, complemented
3C2×#91833C211yesmaximal, characteristic, complemented
4C2×C3×#4092C211yesmaximal, characteristic, complemented
5#11755233C2116yesmaximal, direct product factor
6C2×#91453C212yesmaximal, complemented
7C2×#91452C212yesmaximal, complemented
8C2×C4×#1201C211yesmaximal, characteristic, complemented
9C2×#91435C211yesmaximal, characteristic, complemented
10C2×#91423C212yesmaximal, complemented
11C2×D3×#683C212yesmaximal, complemented
12C2×#91365C211yesmaximal, characteristic, complemented
13C2×#66158—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C2×C5×#239—28no—
17C2×C5×#239C2218yescomplemented
18C22×C5×D12C2212yes—
19C22×C5×D12C2211yescharacteristic
20C22×C4×C5×D3C2211yescharacteristic
21C22×C4×C5×D3C2212yes—
22C22×C3×C4×D5C2211yescharacteristic
23C22×#1201C2211yescharacteristic
24C22×#1201C2212yes—
25C22×D3×Dic5C2212yes—
26C22×D3×Dic5C2212yes—
27C2×#6772—28no—
28C2×#6772C2218yescomplemented
29#91833C2218yescomplemented
30C2×#6712C2212yes—
31C2×#6712C2212yes—
32C2×C4×Dic15C2211yescharacteristic
33C3×#4092C2218yescomplemented
34C2×C3×#685C2212yes—
35C2×C3×C4⋊Dic5C2211yescharacteristic
36C2×C3×#683C2212yes—
37C2×#6669C2211yescharacteristic
38C2×#6668C2212yes—
39C2×(C2×D3)⋊Dic5C2212yes—
40C2×(C2×D3)⋊Dic5C2211yescharacteristic
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×#6665C2211yescharacteristic
43#91453C22116yescomplemented
44#91452C22116yescomplemented
45C4×#1201C2218yescomplemented
46#91435C2218yescomplemented
47#91423C22116yescomplemented
48D3×#683C22116yescomplemented
49#91365C2218yescomplemented
50C2×#5631—51nomaximal, Hall
51C22×C5×#41—31no—
52C22×#711—31no—
53#66158—316no—
54C2×#4092D311yescharacteristic, complemented
55C2×#4090—31no—
56C2×#4085—32no—
57C2×#4081—32no—
58C2×D4×Dic5—31no—
59C2×#4075—32no—
60C2×C4×C22⋊D5—31no—
61C2×#4070—31no—
62C22×#683—32no—
63C23×C5×D3C2311yescharacteristic
64C23×C5×D3C2312yes—
65C23×C3×D5C2311yescharacteristic
66C2×C3×C5×Q8—24no—
67C2×C3×C5×Q8C2314yes—
68C22×C3×C4×C5C2312yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2311yescharacteristic
72C22×Dic15C2311yescharacteristic
73C2×Dic30—24no—
74C2×Dic30C2314yes—
75C22×C5×Dic3C2311yescharacteristic
76C5×#239—232no—
77C2×C5×D12—28no—
78C2×C5×D12D418yescomplemented
79C2×C5×D12C2318yes—
80C2×C5×D12C2314yes—
81C2×C4×C5×D3—28no—
82C2×C4×C5×D3—24no—
83C2×C4×C5×D3C2318yes—
84C2×C4×C5×D3C2314yes—
85C22×C3×Dic5C2311yescharacteristic
86C22×C3×Dic5C2312yes—
87C2×C3×C4×D5—24no—
88C2×C3×C4×D5C2314yes—
89C2×#1201—28no—
90C2×#1201—24no—
91C2×#1201C2314yes—
92C2×#1201C2318yes—
93C2×D3×Dic5—28no—
94C2×D3×Dic5—28no—
95C2×D3×Dic5C2318yes—
96C2×D3×Dic5C2318yes—
97#6772—232no—
98#6712C2318yes—
99#6712C2318yes—
100C4×Dic15C2314yes—
101C3×#685C2318yes—
102C3×C4⋊Dic5C2314yes—
103C3×#683C2318yes—
104#6669C2314yes—
105#6668C2318yes—
106(C2×D3)⋊Dic5C2314yes—
107(C2×D3)⋊Dic5C2318yes—
108(C2×D3)⋊Dic5C2318yes—
109#6665C2314yes—
110C22×#239D511yescharacteristic, complemented
111C22×#235—51no—
112C2×C3×C22⋊Q8—51no—
113C2×#944—51no—
114C2×C4×#67—51no—
115#5631—516no—
116C2×#897—51no—
117C2×#894—52no—
118C2×#893—51no—
119C2×D3×C4⋊C4—52no—
120C2×#884—52no—
121C2×#883—52no—
122C2×C5×#41—38no—
123C2×C5×#41—68no—
124C22×C5×Q8C2×D311yescharacteristic
125C22×C5×D4—31no—
126C22×C5×D4—32no—
127C23×C4×C5—32no—
128C23×C4×C5—31no—
129C22×C22⋊D5—31no—
130C22×C22⋊D5—32no—
131C23×Dic5—32no—
132C23×Dic5—32no—
133C2×#711—38no—
134C2×#711—68no—
135C22×C4×D5C2×D311yescharacteristic
136C22×Dic10—31no—
137C2×C22⋊Dic5—32no—
138C2×C22⋊Dic5—31no—
139C2×C22⋊Dic5—32no—
140#4092C2×D318yescomplemented
141#4090—38no—
142#4085—316no—
143#4081—316no—
144D4×Dic5—38no—
145#4075—316no—
146C4×C22⋊D5—38no—
147C2×#685—31no—
148C2×#685C2×D312yes—
149C2×C4⋊Dic5C2×D311yescharacteristic
150#4070—38no—
151C2×#683—32no—
152C2×#683—32no—
153C2×#683—31no—
154C2×#683—32no—
155C2×#683—316no—
156C2×#683C2×D312yes—
157C2×C4×Dic5—31no—
158C2×#547—151noSylow
159C23×C3×C5C2411yescharacteristic
160C22×C5×D3—24no—
161C22×C5×D3—24no—
162C22×C5×D3—22no—
163C22×C5×D3—22no—
164C22×C5×D3—22no—
165C22×C5×D3C2×D418yes—
166C22×C5×D3C2412yes—
167C22×C5×D3C2414yes—
168C22×C3×D5—22no—
169C22×C3×D5—22no—
170C22×C3×D5—22no—
171C22×C3×D5C2412yes—
172C3×C5×Q8—28no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—24no—
178C2×Dic15—22no—
179C2×Dic15#4114yescomplemented
180C2×Dic15C2412yes—
181C2×Dic15C2414yes—
182C2×Dic15C2412yes—
183Dic30—28no—
184C2×C5×Dic3—22no—
185C2×C5×Dic3C2412yes—
186C5×D12—216no—
187C5×D12C2×D4116yescomplemented
188C4×C5×D3—216no—
189C4×C5×D3—28no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5—24no—
192C2×C3×Dic5C2414yes—
193C2×C3×Dic5C2412yes—
194C3×C4×D5—28no—
195#1201—216no—
196#1201—28no—
197D3×Dic5—216no—
198D3×Dic5—216no—
199C22×C3×Q8C2×D511yescharacteristic
200C23×C3×C4—51no—
201C22×#67—52no—
202C22×#67—51no—
203C2×#239—28no—
204C2×#239C2×D518yescomplemented
205C2×#235—58no—
206C2×#235—108no—
207C22×D12C2×D512yes—
208C22×D12C2×D511yescharacteristic
209C22×C4×D3—52no—
210C22×C4×D3—52no—
211C22×C4×D3C2×D512yes—
212C22×C4×D3C2×D511yescharacteristic
213C22×Dic6—51no—
214C3×C22⋊Q8—58no—
215C2×C3×C4⋊C4—52no—
216C2×C3×C4⋊C4—51no—
217C2×C3×C22⋊C4—52no—
218C2×#217—51no—
219#944—58no—
220C4×#67—58no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—52no—
223C2×(C2×D3)⋊C4—51no—
224C2×C4⋊Dic3—52no—
225C2×Dic3⋊C4—52no—
226C2×Dic3⋊C4—52no—
227C2×Dic3⋊C4—51no—
228C2×C4×Dic3—51no—
229#897—58no—
230#894—516no—
231#893—58no—
232D3×C4⋊C4—516no—
233#884—516no—
234#883—516no—
235C24×C5—32no—
236C24×C5—31no—
237C23×D5C22×D311yescharacteristic
238C5×#41—632no—
239C2×C5×Q8—24no—
240C2×C5×Q8C22×D314yes—
241C2×C5×D4—38no—
242C2×C5×D4—34no—
243C2×C5×D4—38no—
244C2×C5×D4—68no—
245C22×C4×C5—31no—
246C22×C4×C5—38no—
247C22×C4×C5—34no—
248C22×C4×C5—68no—
249C22×C4×C5—64no—
250C22×C4×C5C22×D312yes—
251C22×C4×C5C22×D311yescharacteristic
252C2×C22⋊D5—38no—
253C2×C22⋊D5—34no—
254C2×C22⋊D5—64no—
255C2×C22⋊D5—68no—
256C22×Dic5—31no—
257C22×Dic5—31no—
258C22×Dic5—32no—
259C22×Dic5—38no—
260C22×Dic5—38no—
261C22×Dic5—68no—
262C22×Dic5—68no—
263C22×Dic5C22×D312yes—
264C22×Dic5C22×D311yescharacteristic
265#711—632no—
266C2×C4×D5—24no—
267C2×C4×D5C22×D314yes—
268C2×Dic10—34no—
269C2×Dic10—64no—
270C22⋊Dic5—38no—
271C22⋊Dic5—34no—
272C22⋊Dic5—38no—
273#685—34no—
274#685C22×D318yes—
275C4⋊Dic5C22×D314yes—
276#683—38no—
277#683—38no—
278#683—38no—
279#683—34no—
280#683C22×D318yes—
281C4×Dic5—34no—
282C22×#41—31no—
283C22×#41—151no—
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—51no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—151no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×C5×D3—216no—
299C2×C5×D3—24no—
300C2×C5×D3—24no—
301C2×C5×D3—22no—
302C2×C5×D3—22no—
303C2×C5×D3—22no—
304C2×C5×D3—44no—
305C2×C5×D3C22×D418yes—
306C2×C3×D5—22no—
307C2×C3×D5—22no—
308C2×C3×D5—22no—
309C2×C3×D5—44no—
310C3×C4×C5—24no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313Dic15—22no—
314Dic15C2×#4114yescomplemented
315C3×Dic5—22no—
316C3×Dic5—24no—
317C5×Dic3—22no—
318C24×C3—51no—
319C23×D3C22×D511yescharacteristic
320C23×D3C22×D512yes—
321C2×C3×Q8—24no—
322C2×C3×Q8C22×D514yes—
323C22×C3×C4—51no—
324C22×C3×C4—52no—
325C22×C3×C4—54no—
326C22×C3×C4—104no—
327C22×C3×C4C22×D512yes—
328C22×C3×C4C22×D511yescharacteristic
329C2×#67—58no—
330C2×#67—54no—
331C2×#67—104no—
332C2×#67—108no—
333C22×Dic3—51no—
334C22×Dic3—51no—
335C22×Dic3—52no—
336C22×Dic3C22×D511yescharacteristic
337#239—232no—
338#235—1032no—
339C2×D12—28no—
340C2×D12C22⋊D518yescomplemented
341C2×D12C22×D518yes—
342C2×D12C22×D514yes—
343C2×C4×D3—28no—
344C2×C4×D3—24no—
345C2×C4×D3—58no—
346C2×C4×D3—58no—
347C2×C4×D3—108no—
348C2×C4×D3—108no—
349C2×C4×D3C22×D518yes—
350C2×C4×D3C22×D514yes—
351C2×Dic6—54no—
352C2×Dic6—104no—
353C3×C4⋊C4—58no—
354C3×C4⋊C4—54no—
355C3×C22⋊C4—58no—
356#217—54no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—54no—
360C4⋊Dic3—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4—54no—
364C4×Dic3—54no—
365C23×C5—38no—
366C23×C5—34no—
367C23×C5—32no—
368C23×C5—64no—
369C23×C5—64no—
370C23×C5—62no—
371C23×C5—62no—
372C23×C5—62no—
373C23×C5C23×D311yescharacteristic
374C22×D5—22no—
375C22×D5—22no—
376C22×D5—22no—
377C22×D5C23×D312yes—
378C5×Q8—28no—
379C5×D4—316no—
380C5×D4—616no—
381C2×C4×C5—24no—
382C2×C4×C5—32no—
383C2×C4×C5—616no—
384C2×C4×C5—62no—
385C2×C4×C5—68no—
386C2×C4×C5D3×D414yes—
387C2×C4×C5C23×D314yes—
388C2×C4×C5C23×D312yes—
389C22⋊D5—68no—
390C22⋊D5—616no—
391C2×Dic5—22no—
392C2×Dic5—24no—
393C2×Dic5—34no—
394C2×Dic5—32no—
395C2×Dic5—32no—
396C2×Dic5—34no—
397C2×Dic5—616no—
398C2×Dic5—616no—
399C2×Dic5—64no—
400C2×Dic5—62no—
401C2×Dic5C23×D312yes—
402C2×Dic5C23×D314yes—
403C4×D5—28no—
404Dic10—68no—
405C2×#41—38no—
406C2×#41—68no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—151no—
410C22×Q8D3×D511yescharacteristic
411C22×D4—31no—
412C22×D4—32no—
413C22×D4—151no—
414C22×D4—152no—
415C23×C4—32no—
416C23×C4—31no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4—152no—
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—58no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—158no—
427C4×D4—158no—
428C2×C4⋊C4—52no—
429C2×C4⋊C4—51no—
430C2×C4⋊C4—1516no—
431C2×C4⋊C4—151no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—152no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—52no—
436C2×C22⋊C4—151no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—152no—
440C2×C42—151no—
441C2×C3×C5#54714yescomplemented
442C2×C3×C5C23×D411yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445C3×D5—42no—
446C5×D3—28no—
447C5×D3—42no—
448C23×C3—52no—
449C23×C3—102no—
450C23×C3—102no—
451C23×C3—102no—
452C23×C3C23×D511yescharacteristic
453C22×D3—24no—
454C22×D3—24no—
455C22×D3—22no—
456C22×D3—22no—
457C22×D3—22no—
458C22×D3C2×C22⋊D518yes—
459C22×D3C23×D512yes—
460C22×D3C23×D514yes—
461C3×Q8—28no—
462C2×C3×C4—24no—
463C2×C3×C4—52no—
464C2×C3×C4—54no—
465C2×C3×C4—104no—
466C2×C3×C4—102no—
467C2×C3×C4—108no—
468C2×C3×C4C2×C22⋊D514yes—
469C2×C3×C4C23×D514yes—
470C2×C3×C4C23×D512yes—
471#67—108no—
472#67—1016no—
473C2×Dic3—22no—
474C2×Dic3—54no—
475C2×Dic3—52no—
476C2×Dic3—52no—
477C2×Dic3—54no—
478C2×Dic3—102no—
479C2×Dic3—104no—
480C2×Dic3C23×D512yes—
481D12—216no—
482D12C2×C22⋊D5116yescomplemented
483C4×D3—216no—
484C4×D3—28no—
485C4×D3—1016no—
486C4×D3—1016no—
487Dic6—108no—
488C22×C5—38no—
489C22×C5—64no—
490C22×C5—64no—
491C22×C5—616no—
492C22×C5—62no—
493C22×C5—62no—
494C22×C5—62no—
495C22×C5—124no—
496C22×C5C2×D3×D412yes—
497C22×C5#100712yes—
498C22×C5D3×#4112yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—22no—
501C2×D5—22no—
502C2×D5—22no—
503C2×D5—44no—
504C4×C5—24no—
505C4×C5—62no—
506C4×C5C2×D3×D414yes—
507Dic5—22no—
508Dic5—24no—
509Dic5—34no—
510Dic5—64no—
511Dic5—62no—
512C24—32no—
513C24—31no—
514C24—51no—
515#41—632no—
516#41—3032no—
517C2×Q8—24no—
518C2×Q8—154no—
519C2×Q8—304no—
520C2×Q8C2×D3×D514yes—
521C2×D4—38no—
522C2×D4—34no—
523C2×D4—38no—
524C2×D4—68no—
525C2×D4—154no—
526C2×D4—158no—
527C2×D4—304no—
528C2×D4—308no—
529C22×C4—31no—
530C22×C4—38no—
531C22×C4—34no—
532C22×C4—52no—
533C22×C4—51no—
534C22×C4—54no—
535C22×C4—68no—
536C22×C4—64no—
537C22×C4—104no—
538C22×C4—158no—
539C22×C4—158no—
540C22×C4—151no—
541C22×C4—151no—
542C22×C4—152no—
543C22×C4—308no—
544C22×C4—308no—
545C22×C4C2×D3×D512yes—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—58no—
548C4⋊C4—54no—
549C4⋊C4—154no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—158no—
553C22⋊C4—58no—
554C22⋊C4—154no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—158no—
558C42—154no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—102no—
561C22×C3—102no—
562C22×C3—102no—
563C22×C3—204no—
564C22×C3D5×#4112yes—
565C22×C3#415012yes—
566C22×C3C22×C22⋊D512yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—216no—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—44no—
575C2×D3C22×C22⋊D518yes—
576C3×C4—24no—
577C3×C4—104no—
578C3×C4—102no—
579C3×C4C22×C22⋊D514yes—
580Dic3—22no—
581Dic3—54no—
582Dic3—102no—
583Dic3—104no—
584C2×C5—68no—
585C2×C5—122no—
586C2×C5#563114yescomplemented
587C2×C5C22×D3×D411yescharacteristic
588C2×C5C2×#100711yescharacteristic
589C2×C5C2×D3×#4111yescharacteristic
590D5—42no—
591C23—38no—
592C23—34no—
593C23—32no—
594C23—52no—
595C23—64no—
596C23—64no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—102no—
601C23—102no—
602C23—102no—
603C23C22×D3×D511yescharacteristic
604Q8—28no—
605Q8—308no—
606D4—316no—
607D4—616no—
608D4—308no—
609D4—3016no—
610C2×C4—24no—
611C2×C4—32no—
612C2×C4—54no—
613C2×C4—52no—
614C2×C4—616no—
615C2×C4—62no—
616C2×C4—68no—
617C2×C4—104no—
618C2×C4—102no—
619C2×C4—108no—
620C2×C4—154no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—3016no—
626C2×C4—302no—
627C2×C4—304no—
628C2×C4D3×C22⋊D514yes—
629C2×C4C22×D3×D514yes—
630C2×C4C22×D3×D512yes—
631C2×C3—202no—
632C2×C3#6615814yescomplemented
633C2×C3C2×D5×#4111yescharacteristic
634C2×C3C2×#415011yescharacteristic
635C2×C3C23×C22⋊D511yescharacteristic
636D3—28no—
637D3—42no—
638C5C2×#563111yescharacteristic, complemented, Sylow
639C22—38no—
640C22—616no—
641C22—64no—
642C22—64no—
643C22—62no—
644C22—62no—
645C22—62no—
646C22—102no—
647C22—102no—
648C22—102no—
649C22—124no—
650C22—204no—
651C22#9203012yes—
652C22#9203412yes—
653C22C2×D3×C22⋊D512yes—
654C22C23×D3×D511yescharacteristic
655C4—24no—
656C4—62no—
657C4—102no—
658C4—104no—
659C4—154no—
660C4—304no—
661C4—302no—
662C4C2×D3×C22⋊D514yes—
663C3C2×#6615811yescharacteristic, complemented, Sylow
664C2—68no—
665C2—122no—
666C2—202no—
667C2#1175523314yesdirect product factor
668C2C2×#9203011yescharacteristic
669C2C2×#9203411yescharacteristic
670C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×Q8C22
socleC23×C3×C5C24
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C5×#239C2semidirect
2. C22×#6772C2semidirect
3. C2×#91833C2semidirect
4. C2×C3×#4092C2semidirect
5. #11755233C2direct (N × H)
6. C2×#91453C2semidirect
7. C2×#91452C2semidirect
8. C2×C4×#1201C2semidirect
9. C2×#91435C2semidirect
10. C2×#91423C2semidirect
11. C2×D3×#683C2semidirect
12. C2×#91365C2semidirect
17. C2×C5×#239C22semidirect
28. C2×#6772C22semidirect
29. #91833C22semidirect
33. C3×#4092C22semidirect
43. #91453C22semidirect
44. #91452C22semidirect
45. C4×#1201C22semidirect
46. #91435C22semidirect
47. #91423C22semidirect
48. D3×#683C22semidirect
49. #91365C22semidirect
54. C2×#4092D3semidirect
78. C2×C5×D12D4semidirect
110. C22×#239D5semidirect
140. #4092C2×D3semidirect
179. C2×Dic15#41semidirect
187. C5×D12C2×D4semidirect
204. C2×#239C2×D5semidirect
314. Dic15C2×#41semidirect
340. C2×D12C22⋊D5semidirect
441. C2×C3×C5#547semidirect
482. D12C2×C22⋊D5semidirect
559. C3×C5C2×#547semidirect
586. C2×C5#5631semidirect
632. C2×C3#66158semidirect
638. C5C2×#5631semidirect
663. C3C2×#66158semidirect
667. C2#11755233direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2392
C22×#67722
C2×#918332
C2×C3×#40922
#117552332
C2×#914532
C2×#914522
C2×C4×#12012
C2×#914352
C2×#914232
C2×D3×#6832
C2×#913652
C2×#661583
C2×#56315