Finite Group Databasebeta

← C2×#10612893 #12979841

Subgroups — C2×#10612893 #12979841

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66024C211yesmaximal, characteristic, complemented
2C2×#65873C211yesmaximal, characteristic, complemented
3C2×C5×#478C211yesmaximal, characteristic, complemented
4C2×#65353C211yesmaximal, characteristic, complemented
5C2×C4×#686C211yesmaximal, characteristic
6#10612893C2116yesmaximal, direct product factor
7C2×#65179C211yesmaximal, characteristic, complemented
8C2×#65165C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10C2×#65145C211yesmaximal, characteristic, complemented
11C2×#65136C211yesmaximal, characteristic, complemented
12C2×#65120C211yesmaximal, characteristic, complemented
13C2×#65052C211yesmaximal, characteristic, complemented
14C2×#65048C211yesmaximal, characteristic, complemented
15C2×#65074C211yesmaximal, characteristic
16C2×#65074C211yesmaximal, characteristic
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×D4×Dic5C2211yescharacteristic
20C2×D4×Dic5C2211yescharacteristic
21C22×#686C2211yescharacteristic
22C2×#4070—21no—
23C22×#683—21no—
24#66024—24no—
25#66024C2218yescomplemented
26#65873—24no—
27#65873C2218yescomplemented
28C2×#4043—21no—
29C2×#4042—21no—
30C2×#4042—21no—
31C2×#4039C2211yescharacteristic
32C2×#4039C2211yescharacteristic
33C2×D5×C4⋊C4—21no—
34C2×#4036C2211yescharacteristic
35C2×#4036C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×#4024—21no—
39C2×#4024—21no—
40C2×C4×D20C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C2×C4×Dic10C2211yescharacteristic
43C5×#478C2218yescomplemented
44C2×C5×#107C2211yescharacteristic
45C2×C5×#106C2211yescharacteristic
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3947C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65353C2218yescomplemented
59C4×#686C2218yes—
60C2×#3941C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3939C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4×#168C2211yescharacteristic
67#65179C2218yescomplemented
68#65165C2218yescomplemented
69#65160C2218yescomplemented
70#65145C2218yescomplemented
71#65136C2218yescomplemented
72#65120C2218yescomplemented
73#65074C2218yes—
74#65074C2218yes—
75#65052C2218yescomplemented
76#65048C2218yescomplemented
77C2×#3389—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C23×C4×C5—21no—
80C23×Dic5—21no—
81C23×Dic5—21no—
82C22×D20C2311yescharacteristic
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×Dic10—21no—
87C22×Dic10—21no—
88C22×Dic10D411yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×#125—22no—
92C5×#125C2314yes—
93C4×C5×D4—22no—
94C4×C5×D4C2314yes—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104D4×Dic5—22no—
105D4×Dic5—22no—
106D4×Dic5C2314yes—
107D4×Dic5C2314yes—
108C2×#686Q818yescomplemented
109C2×#686C2314yes—
110C2×#685—21no—
111C2×#685—21no—
112C2×#685—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5D411yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×C4⋊Dic5C2311yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119#4070—28no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—28no—
127C2×#683D411yescharacteristic
128C2×#683D411yescharacteristic
129C2×C4×Dic5C2311yescharacteristic
130C2×C4×Dic5C2311yescharacteristic
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133#4043—28no—
134#4042—28no—
135#4042—28no—
136#4039—22no—
137#4039—22no—
138#4039C2314yes—
139#4039C2314yes—
140D5×C4⋊C4—28no—
141#4036—22no—
142#4036—22no—
143#4036C2314yes—
144#4036C2314yes—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4024—28no—
150#4024—28no—
151C4×D20—22no—
152C4×D20C2314yes—
153#4016—22no—
154#4016C2314yes—
155C4×Dic10D414yes—
156C4×Dic10C2314yes—
157C5×#107C2314yes—
158C5×#106C2314yes—
159C5×C4⋊C8C2314yes—
160C5×#102C2314yes—
161C5×#102C2314yes—
162#3964C2314yes—
163#3953C2314yes—
164#3953C2314yes—
165#3950C2314yes—
166#3949C2314yes—
167#3947C2314yes—
168#3947C2314yes—
169#3946C2314yes—
170#3946C2314yes—
171#3941C2314yes—
172#3940C2314yes—
173#3940C2314yes—
174#3939C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177C4×#168C2314yes—
178C2×#554—51no—
179C2×#554—51no—
180#3389—516no—
181C2×#501—51no—
182C2×#501—51no—
183C2×#499—51no—
184C2×#478—51no—
185C2×#478—51no—
186C2×#478—51no—
187C2×#478D511yescharacteristic, complemented
188C2×#474—51no—
189C2×#474—51no—
190C2×#446—51no—
191C2×#442—51no—
192C2×#442—51no—
193C2×C4×D8—51no—
194C24×C5—21no—
195C23×D5—21no—
196C2×C5×D4—21no—
197C2×C5×D4—22no—
198C2×C5×D4C2×Q814yes—
199C2×C5×D4C2412yes—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—24no—
204C22×C4×C5—82no—
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2411yescharacteristic
208C22×Dic5—21no—
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—24no—
212C22×Dic5—24no—
213C22×Dic5—44no—
214C22×Dic5—82no—
215C22×Dic5C2×D411yescharacteristic
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218C22×Dic5C2×D411yescharacteristic
219C2×D20—21no—
220C2×D20—22no—
221C2×D20C2×Q814yes—
222C2×D20C2412yes—
223C2×C4×D5—24no—
224C2×C4×D5—24no—
225C2×C4×D5—24no—
226C2×C4×D5—44no—
227C2×C4×D5—82no—
228C2×C4×D5—82no—
229C2×Dic10—24no—
230C2×Dic10—24no—
231C2×Dic10—42no—
232C2×Dic10—82no—
233C2×Dic10—82no—
234C2×Dic10C2×D414yes—
235C2×C5×C8—22no—
236C2×C5×C8—22no—
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4C2412yes—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C5×C22⋊C4—24no—
248C42×C5C2×D412yes—
249C42×C5C2412yes—
250C22⋊Dic5—24no—
251C22⋊Dic5—24no—
252#686C2×Q8116yescomplemented
253#685—24no—
254#685—24no—
255#685—24no—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—24no—
261C4⋊Dic5C2×D414yes—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683C2×D414yes—
272#683C2×D414yes—
273C4×Dic5C2×D412yes—
274C4×Dic5C2×D412yes—
275C4×Dic5C2412yes—
276C4×Dic5C2412yes—
277C2×#168—22no—
278C2×#168C2×Q814yes—
279C2×#168C2412yes—
280C2×#168C2412yes—
281C22×D8—51no—
282#554—58no—
283#554—58no—
284#554—104no—
285#554—104no—
286C2×C4⋊Q8—51no—
287C2×C4⋊Q8—51no—
288C2×#125—51no—
289C2×#125—51no—
290C2×#125—51no—
291C2×#125C2×D511yescharacteristic
292C2×C22⋊Q8—101no—
293C2×C22⋊Q8—101no—
294C2×C22⋊Q8—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8—101no—
297C2×C22⋊Q8—101no—
298C2×C4×Q8—51no—
299C2×C4×D4—51no—
300C2×C4×D4—51no—
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C2×C4×D4—51no—
304C2×C4×D4C2×D511yescharacteristic
305C22×C4⋊C4—101no—
306C22×C4⋊C4—101no—
307#501—58no—
308#501—58no—
309#499—58no—
310#478—58no—
311#478—58no—
312#478—58no—
313#478C2×D518yescomplemented
314#474—58no—
315#474—58no—
316#446—58no—
317#442—58no—
318#442—58no—
319C4×D8—58no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#107—51no—
324C2×#107C2×D511yescharacteristic
325C2×#106—51no—
326C2×#106—51no—
327C2×#106—51no—
328C2×#106C2×D511yescharacteristic
329C2×C4⋊C8—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8C2×D511yescharacteristic
332C2×#102—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#102—51no—
336C2×#102C2×D511yescharacteristic
337C2×#102C2×D511yescharacteristic
338C2×#97—51no—
339C2×#97—51no—
340C2×C4×C8—51no—
341C23×C5—24no—
342C23×C5—22no—
343C23×C5—42no—
344C23×C5—42no—
345C23×C5C22×D411yescharacteristic
346C22×D5—24no—
347C22×D5—22no—
348C22×D5—42no—
349C22×D5—42no—
350C5×D4—24no—
351C5×D4—22no—
352C5×D4C22×Q814yes—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—42no—
359C2×C4×C5—42no—
360C2×C4×C5—42no—
361C2×C4×C5—84no—
362C2×C4×C5C22×D412yes—
363C2×C4×C5C22×D412yes—
364C2×C4×C5C22×D411yescharacteristic
365C2×C4×C5C22×Q812yes—
366C2×C4×C52−1+412yes—
367C2×C4×C5C2511yescharacteristic
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—48no—
376C2×Dic5—42no—
377C2×Dic5—42no—
378C2×Dic5—42no—
379C2×Dic5—84no—
380C2×Dic5C22×D412yes—
381C2×Dic5C22×D412yes—
382C2×Dic5C22×D412yes—
383C2×Dic5C22×D412yes—
384D20—24no—
385D20—22no—
386D20C22×Q814yes—
387C4×D5—48no—
388C4×D5—84no—
389C4×D5—84no—
390Dic10—44no—
391Dic10—84no—
392Dic10—84no—
393C5×C8—22no—
394C5×C8—22no—
395#168—22no—
396#168C22×Q814yes—
397C22×Q8—51no—
398C22×Q8—101no—
399C22×Q8—101no—
400C22×D4—51no—
401C22×D4C22×D511yescharacteristic
402C23×C4—21no—
403C23×C4—101no—
404C23×C4—101no—
405C23×C4—101no—
406C23×C4—101no—
407C23×C4—101no—
408C2×D8—58no—
409C2×D8—54no—
410C22×C8—51no—
411C22×C8—51no—
412C22×C8C22×D511yescharacteristic
413C22×C8C22×D511yescharacteristic
414C4⋊Q8—54no—
415C4⋊Q8—54no—
416C4⋊Q8—102no—
417C4⋊Q8—102no—
418#125—22no—
419#125—54no—
420#125—54no—
421#125—54no—
422#125—102no—
423#125—102no—
424#125—102no—
425#125C22×D514yes—
426C22⋊Q8—108no—
427C22⋊Q8—108no—
428C22⋊Q8—108no—
429C22⋊Q8—108no—
430C22⋊Q8—108no—
431C22⋊Q8—108no—
432C4×Q8—54no—
433C4×Q8—54no—
434C4×D4—22no—
435C4×D4—54no—
436C4×D4—54no—
437C4×D4—54no—
438C4×D4—54no—
439C4×D4—54no—
440C4×D4—102no—
441C4×D4—102no—
442C4×D4—102no—
443C4×D4—102no—
444C4×D4—102no—
445C4×D4C22×D514yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—51no—
449C2×C4⋊C4—51no—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—108no—
455C2×C4⋊C4—108no—
456C2×C4⋊C4—101no—
457C2×C4⋊C4—101no—
458C2×C4⋊C4—101no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C4⋊C4C22×D511yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—101no—
469C2×C22⋊C4—101no—
470C2×C22⋊C4—101no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C42—51no—
474C2×C42—51no—
475C2×C42C22×D511yescharacteristic
476#107—54no—
477#107—54no—
478#107—54no—
479#107—54no—
480#107C22×D514yes—
481#106—54no—
482#106—54no—
483#106—54no—
484#106C22×D514yes—
485C4⋊C8—54no—
486C4⋊C8—54no—
487C4⋊C8C22×D514yes—
488#102—54no—
489#102—54no—
490#102—54no—
491#102—54no—
492#102C22×D514yes—
493#102C22×D514yes—
494#97—54no—
495#97—54no—
496C4×C8—54no—
497C22×C5—24no—
498C22×C5—48no—
499C22×C5—42no—
500C22×C5—42no—
501C22×C5D4×Q812yes—
502C22×C5#57512yes—
503C22×C5#57612yes—
504C22×C5C23×D411yescharacteristic
505C2×D5—24no—
506C2×D5—48no—
507C2×D5—42no—
508C2×D5—42no—
509C4×C5—22no—
510C4×C5—22no—
511C4×C5—42no—
512C4×C5—42no—
513C4×C5—42no—
514C4×C5D4×Q812yes—
515C4×C5C23×Q811yescharacteristic
516C4×C5C2×2−1+411yescharacteristic
517Dic5—22no—
518Dic5—22no—
519Dic5—22no—
520Dic5—22no—
521Dic5—42no—
522Dic5—42no—
523Dic5—42no—
524C24—21no—
525C24—101no—
526C2×Q8—54no—
527C2×Q8—104no—
528C2×Q8—104no—
529C2×Q8—202no—
530C2×Q8—402no—
531C2×Q8—402no—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—54no—
535C2×D4—52no—
536C2×D4—101no—
537C2×D4—102no—
538C2×D4Q8×D514yes—
539C2×D4C23×D512yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—51no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—51no—
548C22×C4—82no—
549C22×C4—104no—
550C22×C4—104no—
551C22×C4—104no—
552C22×C4—104no—
553C22×C4—101no—
554C22×C4—101no—
555C22×C4—101no—
556C22×C4—104no—
557C22×C4—204no—
558C22×C4—204no—
559C22×C4—402no—
560C22×C4—402no—
561C22×C4—402no—
562C22×C4D4×D511yescharacteristic
563C22×C4D4×D511yescharacteristic
564C22×C4C23×D511yescharacteristic
565D8—516no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—54no—
569C2×C8—52no—
570C2×C8—52no—
571C2×C8—102no—
572C2×C8C23×D512yes—
573C2×C8C23×D512yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—54no—
580C4⋊C4—54no—
581C4⋊C4—54no—
582C4⋊C4—52no—
583C4⋊C4—52no—
584C4⋊C4—52no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—101no—
592C4⋊C4—101no—
593C4⋊C4—101no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4C23×D512yes—
597C4⋊C4C23×D512yes—
598C4⋊C4C23×D512yes—
599C22⋊C4—24no—
600C22⋊C4—104no—
601C22⋊C4—104no—
602C22⋊C4—104no—
603C22⋊C4—104no—
604C22⋊C4—104no—
605C42—52no—
606C42—52no—
607C42—52no—
608C42—52no—
609C42D4×D512yes—
610C42C23×D512yes—
611C2×C5—44no—
612C2×C5#338914yescomplemented
613C2×C5C2×D4×Q811yescharacteristic
614C2×C5C2×#57511yescharacteristic
615C2×C5C2×#57611yescharacteristic
616D5—44no—
617C23—24no—
618C23—22no—
619C23—42no—
620C23—42no—
621C23—104no—
622C23—102no—
623C23—202no—
624C23—202no—
625C23C2×D4×D511yescharacteristic
626Q8—204no—
627Q8—404no—
628Q8—404no—
629D4—24no—
630D4—22no—
631D4—54no—
632D4—104no—
633D4—102no—
634D4C2×Q8×D514yes—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—52no—
644C2×C4—52no—
645C2×C4—52no—
646C2×C4—52no—
647C2×C4—84no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—102no—
651C2×C4—102no—
652C2×C4—102no—
653C2×C4—102no—
654C2×C4—102no—
655C2×C4—208no—
656C2×C4—208no—
657C2×C4—202no—
658C2×C4—202no—
659C2×C4—202no—
660C2×C4—404no—
661C2×C4—404no—
662C2×C4—404no—
663C2×C4C2×D4×D512yes—
664C2×C4C2×D4×D512yes—
665C2×C4C2×D4×D511yescharacteristic
666C2×C4C2×Q8×D512yes—
667C2×C4#415012yes—
668C2×C4C24×D511yescharacteristic
669C8—22no—
670C8—22no—
671C8—54no—
672C8—102no—
673C5C2×#338911yescharacteristic, complemented, Sylow
674C22—24no—
675C22—48no—
676C22—42no—
677C22—42no—
678C22—104no—
679C22—208no—
680C22—202no—
681C22—202no—
682C22#6596612yes—
683C22#6610212yes—
684C22#6610812yes—
685C22C22×D4×D511yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—102no—
692C4—102no—
693C4—102no—
694C4—102no—
695C4—202no—
696C4—202no—
697C4—202no—
698C4#6596612yes—
699C4C22×Q8×D511yescharacteristic
700C4C2×#415011yescharacteristic
701C2—44no—
702C2—204no—
703C2#1061289314yesdirect product factor
704C2C2×#6596611yescharacteristic
705C2C2×#6610211yescharacteristic
706C2C2×#6610811yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#478C2
socleC23×C5C22×D4
prime radicalC22×#686C22
hypercenterC2×#478D5
hypocenterC5C2×#3389
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#66024C2semidirect
2. C2×#65873C2semidirect
3. C2×C5×#478C2semidirect
4. C2×#65353C2semidirect
6. #10612893C2direct (N × H)
7. C2×#65179C2semidirect
8. C2×#65165C2semidirect
9. C2×#65160C2semidirect
10. C2×#65145C2semidirect
11. C2×#65136C2semidirect
12. C2×#65120C2semidirect
13. C2×#65052C2semidirect
14. C2×#65048C2semidirect
25. #66024C22semidirect
27. #65873C22semidirect
43. C5×#478C22semidirect
58. #65353C22semidirect
67. #65179C22semidirect
68. #65165C22semidirect
69. #65160C22semidirect
70. #65145C22semidirect
71. #65136C22semidirect
72. #65120C22semidirect
75. #65052C22semidirect
76. #65048C22semidirect
108. C2×#686Q8semidirect
187. C2×#478D5semidirect
252. #686C2×Q8semidirect
313. #478C2×D5semidirect
612. C2×C5#3389semidirect
673. C5C2×#3389semidirect
703. C2#10612893direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660242
C2×#658732
C2×C5×#4782
C2×#653532
C2×C4×#6862
#106128932
C2×#651792
C2×#651652
C2×#651602
C2×#651452
C2×#651362
C2×#651202
C2×#650522
C2×#650482
C2×#650742
C2×#33895