Finite Group Databasebeta

← C2×#10612961 #12966818

Subgroups — C2×#10612961 #12966818

Order 1280.

2098 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66022C211yesmaximal, characteristic
2C2×C4×Q8×D5C211yesmaximal, characteristic
3C2×C5×#479C211yesmaximal, characteristic, complemented
4C2×#65352C211yesmaximal, characteristic, complemented
5C2×#65311C211yesmaximal, characteristic, complemented
6#10612961C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65170C211yesmaximal, characteristic
9C2×#65143C211yesmaximal, characteristic, complemented
10C2×#65150C211yesmaximal, characteristic
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×#65126C211yesmaximal, characteristic
13C2×#65091C211yesmaximal, characteristic
14C2×#65091C211yesmaximal, characteristic
15C2×#65083C211yesmaximal, characteristic, complemented
16C2×#65080C211yesmaximal, characteristic, complemented
17C22×Q8×D5C2211yescharacteristic
18C2×C5×#125C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C22×#676C2211yescharacteristic
22C22×#676C2211yescharacteristic
23#66022—24no—
24#66022C2218yes—
25C4×Q8×D5—24no—
26C4×Q8×D5C2218yes—
27C2×#4042—21no—
28C2×#4042—21no—
29C2×#4038C2211yescharacteristic
30C2×#4038C2211yescharacteristic
31C2×D5×C4⋊C4—21no—
32C2×D5×C4⋊C4C2211yescharacteristic
33C2×#4034C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4033—21no—
36C2×#4033—21no—
37C2×#4033—21no—
38C2×#4033C2211yescharacteristic
39C2×C42×D5—21no—
40C2×C42×D5C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C2×C4×Dic10—21no—
43C2×C4×Dic10C2211yescharacteristic
44C5×#479C2218yescomplemented
45C2×C5×#107C2211yescharacteristic
46C2×C5×#106C2211yescharacteristic
47C2×C5×C4⋊C8C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3948C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65352C2218yescomplemented
59#65311C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65170C2218yes—
68#65164C2218yescomplemented
69#65150C2218yes—
70#65143C2218yescomplemented
71#65126C2218yes—
72#65118C2218yescomplemented
73#65091C2218yes—
74#65091C2218yes—
75#65083C2218yescomplemented
76#65080C2218yescomplemented
77C2×#3078—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C2×Q8×D5—22no—
80C2×Q8×D5—24no—
81C2×Q8×D5Q818yescomplemented
82C2×Q8×D5C2314yes—
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5D411yescharacteristic
86C22×C4×D5D411yescharacteristic
87C22×C4×D5C2311yescharacteristic
88C22×Dic10—21no—
89C22×Dic10—21no—
90C22×Dic10—21no—
91C22×Dic10C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×#125—22no—
95C5×#125C2314yes—
96C4×C5×Q8—22no—
97C4×C5×Q8C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4—21no—
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C4⋊C4C2311yescharacteristic
104C2×C42×C5—21no—
105C2×C42×C5C2311yescharacteristic
106Q8×Dic5—22no—
107Q8×Dic5C2314yes—
108C2×#685—21no—
109C2×#685—21no—
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5C2311yescharacteristic
112C2×C4⋊Dic5C2311yescharacteristic
113C2×C4⋊Dic5C2311yescharacteristic
114C2×#683—21no—
115C2×#683—21no—
116C2×#683—21no—
117C2×#683—21no—
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×C4×Dic5—21no—
122C2×C4×Dic5—21no—
123C2×C4×Dic5—21no—
124C2×C4×Dic5—21no—
125C2×C4×Dic5—21no—
126C2×C4×Dic5D411yescharacteristic
127C2×C4×Dic5D411yescharacteristic
128C2×C4×Dic5C2311yescharacteristic
129C22×#168C2311yescharacteristic
130C22×#168C2311yescharacteristic
131C2×#676—24no—
132C2×#676—24no—
133C2×#676C2314yes—
134C2×#676C2314yes—
135#4042—28no—
136#4042—28no—
137#4038—22no—
138#4038—22no—
139#4038C2314yes—
140#4038C2314yes—
141D5×C4⋊C4—28no—
142D5×C4⋊C4—22no—
143D5×C4⋊C4C2314yes—
144#4034—22no—
145#4034—22no—
146#4034C2314yes—
147#4034C2314yes—
148#4033—28no—
149#4033—28no—
150#4033—28no—
151#4033—22no—
152#4033C2314yes—
153C42×D5—28no—
154C42×D5D414yes—
155C42×D5C2314yes—
156#4016—22no—
157#4016C2314yes—
158C4×Dic10—22no—
159C4×Dic10—28no—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#106C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#103C2314yes—
165C5×#103C2314yes—
166#3967C2314yes—
167#3967C2314yes—
168#3950C2314yes—
169#3949C2314yes—
170#3948C2314yes—
171#3948C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C4⋊#168C2314yes—
181C2×#533—51no—
182C22×C4×Q8—51no—
183#3078—516no—
184C2×#479—51no—
185C2×#479—51no—
186C2×#479—51no—
187C2×#479D511yescharacteristic, complemented
188C2×#477—51no—
189C2×#477—51no—
190C2×#475—51no—
191C2×#475—51no—
192C2×#428—51no—
193C2×#428—51no—
194C2×#423—51no—
195C2×#419—51no—
196C2×#419—51no—
197C23×D5C2×D411yescharacteristic
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8C2×Q814yes—
201C2×C5×Q8C2412yes—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2411yescharacteristic
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216Q8×D5—216no—
217Q8×D5—28no—
218Q8×D5C2×Q8116yescomplemented
219C2×C4×D5—28no—
220C2×C4×D5—24no—
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—42no—
224C2×C4×D5—44no—
225C2×C4×D5C2×D414yes—
226C2×C4×D5C2×D414yes—
227C2×C4×D5C2×D412yes—
228C2×C4×D5C2×Q814yes—
229C2×C4×D5#4114yes—
230C2×C4×D5C2412yes—
231C2×Dic10—21no—
232C2×Dic10—22no—
233C2×Dic10—28no—
234C2×Dic10—24no—
235C2×Dic10—24no—
236C2×Dic10—24no—
237C2×Dic10—44no—
238C2×Dic10—44no—
239C2×Dic10C2×Q814yes—
240C2×Dic10C2412yes—
241C2×C5×C8—22no—
242C2×C5×C8—22no—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C42×C5—24no—
255C42×C5C2×D412yes—
256C42×C5C2412yes—
257#685—24no—
258#685—24no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273C4×Dic5—24no—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D414yes—
279C4×Dic5C2×D412yes—
280C4×Dic5C2×D414yes—
281C4×Dic5C2412yes—
282C2×#168—22no—
283C2×#168—22no—
284C2×#168C2412yes—
285C2×#168C2412yes—
286#676—28no—
287#676—28no—
288C23×Q8—51no—
289C22×M16—51no—
290C22×M16—51no—
291#533—58no—
292#533—104no—
293C2×C4⋊Q8—51no—
294C2×C4⋊Q8—51no—
295C2×#125—51no—
296C2×#125C2×D511yescharacteristic
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299C2×C4×Q8—51no—
300C2×C4×Q8—58no—
301C2×C4×Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—101no—
304C2×C4×Q8—101no—
305C2×C4×Q8—101no—
306C2×C4×Q8—101no—
307C2×C4×Q8—104no—
308C2×C4×Q8C2×D511yescharacteristic
309C2×#117—51no—
310C2×#117—51no—
311C22×C4⋊C4—51no—
312C22×C4⋊C4—101no—
313C22×C42—51no—
314C22×C42—101no—
315#479—58no—
316#479—58no—
317#479—58no—
318#479C2×D518yescomplemented
319#477—58no—
320#477—58no—
321#475—58no—
322#475—58no—
323#428—58no—
324#428—58no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107C2×D511yescharacteristic
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106C2×D511yescharacteristic
333#423—58no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8—51no—
336C2×C4⋊C8—51no—
337C2×C4⋊C8C2×D511yescharacteristic
338#419—58no—
339#419—58no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103—51no—
346C2×#103C2×D511yescharacteristic
347C2×#103C2×D511yescharacteristic
348C23×C5C22×D411yescharacteristic
349C22×D5—22no—
350C22×D5—22no—
351C22×D5C22⋊Q814yes—
352C22×D5C22×D412yes—
353C5×Q8—24no—
354C5×Q8—22no—
355C5×Q8C22×Q814yes—
356C2×C4×C5—24no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—42no—
364C2×C4×C5—42no—
365C2×C4×C5—42no—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D411yescharacteristic
369C2×C4×C5C22×Q812yes—
370C2×C4×C5C2×#4112yes—
371C2×C4×C5C2511yescharacteristic
372C2×Dic5—24no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—42no—
379C2×Dic5—42no—
380C2×Dic5—42no—
381C2×Dic5C22⋊Q814yes—
382C2×Dic5#13714yes—
383C2×Dic5C22×D412yes—
384C2×Dic5C22×D412yes—
385C2×Dic5C22×D412yes—
386C4×D5—216no—
387C4×D5—28no—
388C4×D5—44no—
389C4×D5—48no—
390C4×D5C22⋊Q818yes—
391C4×D5C22×Q814yes—
392C4×D5C2×#4114yes—
393Dic10—24no—
394Dic10—22no—
395Dic10—216no—
396Dic10—48no—
397Dic10—48no—
398Dic10C22×Q814yes—
399C5×C8—22no—
400C5×C8—22no—
401#168—22no—
402#168—22no—
403C22×Q8—58no—
404C22×Q8—54no—
405C22×Q8—51no—
406C22×Q8—101no—
407C22×Q8—101no—
408C22×Q8—101no—
409C22×Q8—102no—
410C22×Q8—104no—
411C22×Q8C22×D511yescharacteristic
412C23×C4—51no—
413C23×C4—51no—
414C23×C4—51no—
415C23×C4—101no—
416C23×C4—101no—
417C2×M16—54no—
418C2×M16—54no—
419C2×M16—104no—
420C2×M16—104no—
421C22×C8—51no—
422C22×C8—51no—
423C22×C8C22×D511yescharacteristic
424C22×C8C22×D511yescharacteristic
425C4⋊Q8—54no—
426C4⋊Q8—54no—
427C4⋊Q8—102no—
428C4⋊Q8—102no—
429#125—22no—
430#125—54no—
431#125—102no—
432#125C22×D514yes—
433C22⋊Q8—108no—
434C22⋊Q8—108no—
435C4×Q8—22no—
436C4×Q8—54no—
437C4×Q8—54no—
438C4×Q8—54no—
439C4×Q8—108no—
440C4×Q8—108no—
441C4×Q8—102no—
442C4×Q8—108no—
443C4×Q8—108no—
444C4×Q8—102no—
445C4×Q8—102no—
446C4×Q8C22×D514yes—
447#117—54no—
448#117—54no—
449#117—102no—
450#117—102no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—102no—
459C2×C4⋊C4—108no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C4⋊C4C22×D511yescharacteristic
470C2×C4⋊C4C22×D511yescharacteristic
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C42—21no—
474C2×C42—51no—
475C2×C42—51no—
476C2×C42—51no—
477C2×C42—54no—
478C2×C42—54no—
479C2×C42—108no—
480C2×C42—101no—
481C2×C42—101no—
482C2×C42—101no—
483C2×C42—101no—
484C2×C42—101no—
485C2×C42C22×D511yescharacteristic
486#107—54no—
487#107—54no—
488#107—54no—
489#107C22×D514yes—
490#106—54no—
491#106—54no—
492#106—54no—
493#106C22×D514yes—
494C4⋊C8—54no—
495C4⋊C8—54no—
496C4⋊C8—54no—
497C4⋊C8C22×D514yes—
498#103—54no—
499#103—54no—
500#103—54no—
501#103—54no—
502#103—54no—
503#103—54no—
504#103C22×D514yes—
505#103C22×D514yes—
506C22×C5C2×C22⋊Q812yes—
507C22×C5C2×#13712yes—
508C22×C5#57512yes—
509C22×C5C23×D411yescharacteristic
510C2×D5—28no—
511C2×D5—22no—
512C2×D5—22no—
513C2×D5C2×C22⋊Q814yes—
514C4×C5—24no—
515C4×C5—22no—
516C4×C5—22no—
517C4×C5—42no—
518C4×C5—42no—
519C4×C5—42no—
520C4×C5C2×C22⋊Q812yes—
521C4×C5C23×Q811yescharacteristic
522C4×C5C22×#4111yescharacteristic
523Dic5—24no—
524Dic5—22no—
525Dic5—42no—
526Dic5—42no—
527Dic5—42no—
528Dic5C2×C22⋊Q814yes—
529Dic5C2×#13714yes—
530C24—51no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—516no—
534C2×Q8—54no—
535C2×Q8—52no—
536C2×Q8—104no—
537C2×Q8—108no—
538C2×Q8—104no—
539C2×Q8—104no—
540C2×Q8—1016no—
541C2×Q8—108no—
542C2×Q8—101no—
543C2×Q8—102no—
544C2×Q8—204no—
545C2×Q8—204no—
546C2×Q8Q8×D514yes—
547C2×Q8C23×D512yes—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—51no—
553C22×C4—51no—
554C22×C4—52no—
555C22×C4—54no—
556C22×C4—54no—
557C22×C4—52no—
558C22×C4—51no—
559C22×C4—54no—
560C22×C4—54no—
561C22×C4—104no—
562C22×C4—104no—
563C22×C4—108no—
564C22×C4—104no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—101no—
569C22×C4—202no—
570C22×C4—204no—
571C22×C4D4×D511yescharacteristic
572C22×C4D4×D511yescharacteristic
573C22×C4C23×D511yescharacteristic
574M16—108no—
575M16—108no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—52no—
579C2×C8—52no—
580C2×C8—102no—
581C2×C8—102no—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—52no—
591C4⋊C4—52no—
592C4⋊C4—52no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—101no—
599C4⋊C4—101no—
600C4⋊C4—101no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4C23×D512yes—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C22⋊C4—104no—
608C22⋊C4—104no—
609C42—24no—
610C42—54no—
611C42—54no—
612C42—52no—
613C42—52no—
614C42—104no—
615C42—104no—
616C42—104no—
617C42—104no—
618C42—104no—
619C42D4×D512yes—
620C42C23×D512yes—
621C2×C5#307814yescomplemented
622C2×C5C22×C22⋊Q811yescharacteristic
623C2×C5C22×#13711yescharacteristic
624C2×C5C2×#57511yescharacteristic
625D5—24no—
626C23—54no—
627C23—52no—
628C23—102no—
629C23—102no—
630C23C2×D4×D511yescharacteristic
631Q8—24no—
632Q8—22no—
633Q8—54no—
634Q8—1016no—
635Q8—104no—
636Q8—102no—
637Q8—208no—
638Q8—208no—
639Q8C2×Q8×D514yes—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—54no—
651C2×C4—54no—
652C2×C4—52no—
653C2×C4—52no—
654C2×C4—58no—
655C2×C4—54no—
656C2×C4—54no—
657C2×C4—52no—
658C2×C4—108no—
659C2×C4—1016no—
660C2×C4—102no—
661C2×C4—104no—
662C2×C4—102no—
663C2×C4—102no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—204no—
667C2×C4—208no—
668C2×C4—202no—
669C2×C4—202no—
670C2×C4—202no—
671C2×C4C2×D4×D512yes—
672C2×C4C2×D4×D512yes—
673C2×C4C2×D4×D511yescharacteristic
674C2×C4C2×Q8×D512yes—
675C2×C4D5×#4112yes—
676C2×C4C24×D511yescharacteristic
677C8—22no—
678C8—22no—
679C8—102no—
680C8—102no—
681C5C2×#307811yescharacteristic, complemented, Sylow
682C22—54no—
683C22—102no—
684C22—102no—
685C22—108no—
686C22D5×C22⋊Q812yes—
687C22#6610212yes—
688C22D5×#13712yes—
689C22C22×D4×D511yescharacteristic
690C4—24no—
691C4—22no—
692C4—22no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—54no—
697C4—54no—
698C4—104no—
699C4—102no—
700C4—202no—
701C4—202no—
702C4—202no—
703C4D5×C22⋊Q812yes—
704C4C22×Q8×D511yescharacteristic
705C4C2×D5×#4111yescharacteristic
706C2—104no—
707C2#1061296114yesdirect product factor
708C2C2×D5×C22⋊Q811yescharacteristic
709C2C2×#6610211yescharacteristic
710C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#479C2
socleC23×C5C22×D4
prime radicalC23×D5C2×D4
hypercenterC2×#479D5
hypocenterC5C2×#3078
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. C2×C5×#479C2semidirect
4. C2×#65352C2semidirect
5. C2×#65311C2semidirect
6. #10612961C2direct (N × H)
7. C2×#65164C2semidirect
9. C2×#65143C2semidirect
11. C2×#65118C2semidirect
15. C2×#65083C2semidirect
16. C2×#65080C2semidirect
44. C5×#479C22semidirect
58. #65352C22semidirect
59. #65311C22semidirect
68. #65164C22semidirect
70. #65143C22semidirect
72. #65118C22semidirect
75. #65083C22semidirect
76. #65080C22semidirect
81. C2×Q8×D5Q8semidirect
187. C2×#479D5semidirect
218. Q8×D5C2×Q8semidirect
318. #479C2×D5semidirect
621. C2×C5#3078semidirect
681. C5C2×#3078semidirect
707. C2#10612961direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660222
C2×C4×Q8×D52
C2×C5×#4792
C2×#653522
C2×#653112
#106129612
C2×#651642
C2×#651702
C2×#651432
C2×#651502
C2×#651182
C2×#651262
C2×#650912
C2×#650832
C2×#650802
C2×#30785