Finite Group Databasebeta

← C2×#9275 #198708

Subgroups — C2×#9275 #198708

Order 512.

1712 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3187C211yesmaximal, characteristic
2C2×#2364C211yesmaximal, characteristic
3C2×#1996C211yesmaximal, characteristic, complemented
4C2×#1519C211yesmaximal, characteristic
5C22×#328C211yesmaximal, characteristic, complemented
6#9275C218yesmaximal, direct product factor
7C2×#1294C211yesmaximal, characteristic, complemented
8C2×#1282C211yesmaximal, characteristic, complemented
9C22×C22⋊Q8C2211yescharacteristic
10C22×#121C2211yescharacteristic
11C22×C4×D4—21no—
12#3187—22no—
13#3187—22no—
14#3187C414yescomplemented
15#3187C2214yes—
16C2×#481C412yescomplemented
17C2×#483—21no—
18C2×#465—22no—
19C2×#448C412yescomplemented
20C2×#450—21no—
21C22×C22⋊C8C2211yescharacteristic
22C22×C22⋊C8C2211yescharacteristic
23#2364—22no—
24#2364—22no—
25#2364—22no—
26#2364C2214yes—
27C2×#388—21no—
28C2×#387—21no—
29C2×#386—21no—
30C2×#386—21no—
31C2×#380C2211yescharacteristic
32C2×C4×C22⋊C4—21no—
33C2×C4×C22⋊C4C2211yescharacteristic
34C22×#95C2211yescharacteristic
35#1996—22no—
36#1996C2214yescomplemented
37C2×#342—21no—
38C2×#342—21no—
39#1519—22no—
40#1519C2214yes—
41C2×#328—22no—
42C2×#328—21no—
43C2×#328—21no—
44C2×#328C2214yescomplemented
45C2×#327—22no—
46#1294C2214yescomplemented
47#1282C2214yescomplemented
48C23×Q8C2×C411yescharacteristic, complemented
49C23×D4—21no—
50C23×D4D411yescharacteristic
51C24×C4—21no—
52C24×C4—21no—
53C24×C4C2311yescharacteristic
54C22×SD16—22no—
55C23×C8—21no—
56C23×C8—21no—
57C2×C22⋊Q8—21no—
58C2×C22⋊Q8—21no—
59C2×C22⋊Q8—21no—
60C2×C22⋊Q8—21no—
61C2×C22⋊Q8—21no—
62C2×C22⋊Q8—21no—
63C2×C22⋊Q8—21no—
64C2×C22⋊Q8—21no—
65C2×C22⋊Q8—21no—
66C2×C22⋊Q8—21no—
67C2×C22⋊Q8C2×C412yescomplemented
68C2×C22⋊Q8C2312yes—
69C2×#121—21no—
70C2×#121—21no—
71C2×#121—21no—
72C2×#121—21no—
73C2×#121—21no—
74C2×#121—21no—
75C2×#121C2×C412yes—
76C2×#121C2×C412yes—
77C2×#121D412yes—
78C2×#121D412yes—
79C2×#121D412yes—
80C2×#121C2312yes—
81C2×C4×D4—24no—
82C2×C4×D4—24no—
83C2×C4×D4—44no—
84C2×C4×D4—44no—
85C22×C4⋊C4—21no—
86C22×C4⋊C4—21no—
87C22×C4⋊C4—21no—
88C22×C4⋊C4C2×C411yescharacteristic, complemented
89C22×C4⋊C4D411yescharacteristic
90C22×C22⋊C4—21no—
91C22×C22⋊C4—21no—
92C22×C22⋊C4—21no—
93C22×C22⋊C4—21no—
94C22×C22⋊C4—21no—
95C22×C22⋊C4—21no—
96C22×C22⋊C4D411yescharacteristic
97C22×C22⋊C4D411yescharacteristic
98C22×C42—21no—
99C22×C42—21no—
100#483—24no—
101#483—24no—
102#481—24no—
103#481C2×C418yescomplemented
104#465—28no—
105#465—28no—
106#450—24no—
107#450—24no—
108#448—24no—
109#448C2×C418yescomplemented
110C2×#106—22no—
111C2×#103—22no—
112C2×#102—22no—
113C2×C22⋊C8—21no—
114C2×C22⋊C8—21no—
115C2×C22⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—21no—
119C2×C22⋊C8—21no—
120C2×C22⋊C8—21no—
121C2×C22⋊C8C2×C412yescomplemented
122C2×C22⋊C8C2×C412yescomplemented
123C2×C22⋊C8C2312yes—
124C2×C22⋊C8C2312yes—
125#388—24no—
126#388—24no—
127#387—24no—
128#387—24no—
129#386—24no—
130#386—24no—
131#386—24no—
132#386—24no—
133#380—21no—
134#380—21no—
135#380—21no—
136#380C2312yes—
137C4×C22⋊C4—24no—
138C4×C22⋊C4—21no—
139C4×C22⋊C4—21no—
140C4×C22⋊C4—24no—
141C4×C22⋊C4D412yes—
142C4×C22⋊C4C2312yes—
143C2×#95—21no—
144C2×#95—21no—
145C2×#95—21no—
146C2×#95—21no—
147C2×#95—21no—
148C2×#95—21no—
149C2×#95—21no—
150C2×#95D412yes—
151C2×#95D411yescharacteristic
152C2×#95D411yescharacteristic
153C2×#95C2312yes—
154#342—24no—
155#342—24no—
156#328—24no—
157#328—24no—
158#327—28no—
159C25—21no—
160C25C2×D411yescharacteristic
161C22×Q8—21no—
162C22×Q8—21no—
163C22×Q8—21no—
164C22×Q8—21no—
165C22×Q8—21no—
166C22×Q8—82no—
167C22×Q8C22×C412yescomplemented
168C22×D4—22no—
169C22×D4—22no—
170C22×D4—22no—
171C22×D4—22no—
172C22×D4—22no—
173C22×D4—22no—
174C22×D4—21no—
175C22×D4—21no—
176C22×D4—21no—
177C22×D4—42no—
178C22×D4—42no—
179C22×D4—42no—
180C22×D4—42no—
181C22×D4—82no—
182C22×D4C22⋊C412yes—
183C22×D4C22⋊C412yes—
184C22×D4C2×D412yes—
185C23×C4—21no—
186C23×C4—21no—
187C23×C4—21no—
188C23×C4—21no—
189C23×C4—21no—
190C23×C4—24no—
191C23×C4—22no—
192C23×C4—22no—
193C23×C4—21no—
194C23×C4—21no—
195C23×C4—44no—
196C23×C4—44no—
197C23×C4—44no—
198C23×C4—42no—
199C23×C4—42no—
200C23×C4—41no—
201C23×C4—82no—
202C23×C4—82no—
203C23×C4—82no—
204C23×C4C22×C411yescharacteristic
205C23×C4C22×C411yescharacteristic
206C23×C4C2×D411yescharacteristic
207C23×C4C2×D411yescharacteristic
208C23×C4C2×D411yescharacteristic
209C23×C4C2×D411yescharacteristic
210C23×C4C2×D411yescharacteristic
211C23×C4C2×D411yescharacteristic
212C23×C4C2×D411yescharacteristic
213C23×C4#4111yescharacteristic
214C23×C4#4111yescharacteristic
215C23×C4#4111yescharacteristic
216C23×C4#4111yescharacteristic
217C23×C4C2411yescharacteristic
218C2×SD16—28no—
219C2×SD16—84no—
220C22×C8—22no—
221C22×C8—22no—
222C22×C8—22no—
223C22×C8—22no—
224C22×C8—41no—
225C22×C8—41no—
226C22×C8—82no—
227C22×C8—82no—
228C22⋊Q8—22no—
229C22⋊Q8—22no—
230C22⋊Q8—22no—
231C22⋊Q8—22no—
232C22⋊Q8—22no—
233C22⋊Q8—22no—
234C22⋊Q8—22no—
235C22⋊Q8—22no—
236C22⋊Q8—41no—
237C22⋊Q8—41no—
238C22⋊Q8—41no—
239C22⋊Q8—41no—
240C22⋊Q8—41no—
241C22⋊Q8—41no—
242C22⋊Q8—41no—
243C22⋊Q8—41no—
244#121—22no—
245#121—22no—
246#121—22no—
247#121—22no—
248#121—22no—
249#121—22no—
250#121—22no—
251#121—22no—
252#121—22no—
253#121—22no—
254#121—22no—
255#121—22no—
256#121C22⋊C414yes—
257#121C22⋊C414yes—
258#121C22×C414yes—
259#121C2×D414yes—
260C4×D4—48no—
261C4×D4—416no—
262C4×D4—48no—
263C2×C4⋊C4—21no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—41no—
277C2×C4⋊C4—41no—
278C2×C4⋊C4—41no—
279C2×C4⋊C4—41no—
280C2×C4⋊C4—41no—
281C2×C4⋊C4—82no—
282C2×C4⋊C4C22⋊C412yes—
283C2×C4⋊C4C22⋊C412yes—
284C2×C4⋊C4C22×C412yescomplemented
285C2×C4⋊C4C2×D412yes—
286C2×C22⋊C4—21no—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—22no—
295C2×C22⋊C4—22no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—41no—
306C2×C22⋊C4—41no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—82no—
313C2×C22⋊C4SD1614yescomplemented
314C2×C22⋊C4C2×D412yes—
315C2×C22⋊C4C2×D412yes—
316C2×C42—24no—
317C2×C42—22no—
318C2×C42—22no—
319C2×C42—44no—
320C2×C42—82no—
321#106—28no—
322#103—28no—
323#102—28no—
324C22⋊C8—22no—
325C22⋊C8—22no—
326C22⋊C8—22no—
327C22⋊C8—22no—
328C22⋊C8—22no—
329C22⋊C8—41no—
330C22⋊C8—41no—
331C22⋊C8C22×C414yescomplemented
332#95—24no—
333#95—24no—
334#95—21no—
335#95—22no—
336#95—21no—
337#95—22no—
338#95—22no—
339#95—22no—
340#95—22no—
341#95—41no—
342#95C2×D412yes—
343#95C2×D412yes—
344C24—22no—
345C24—22no—
346C24—22no—
347C24—42no—
348C24—42no—
349C24—42no—
350C24—42no—
351C24—42no—
352C24—42no—
353C24—42no—
354C24—42no—
355C24C4×D411yescharacteristic
356C24C4×D411yescharacteristic
357C24#12011yescharacteristic
358C24#12011yescharacteristic
359C24#12111yescharacteristic
360C24#12111yescharacteristic
361C24C2×SD1612yes—
362C24#13512yes—
363C24AGL(1,ℤ/8)12yes—
364C24#13712yes—
365C24C22×D411yescharacteristic
366C2×Q8—22no—
367C2×Q8—22no—
368C2×Q8—44no—
369C2×Q8—41no—
370C2×Q8—41no—
371C2×Q8—82no—
372C2×Q8—82no—
373C2×Q8—82no—
374C2×Q8—82no—
375C2×Q8—82no—
376C2×D4—24no—
377C2×D4—24no—
378C2×D4—24no—
379C2×D4—24no—
380C2×D4—22no—
381C2×D4—22no—
382C2×D4—22no—
383C2×D4—44no—
384C2×D4—42no—
385C2×D4—42no—
386C2×D4—42no—
387C2×D4—42no—
388C2×D4—44no—
389C2×D4—44no—
390C2×D4—44no—
391C2×D4—44no—
392C2×D4—44no—
393C2×D4—44no—
394C2×D4—44no—
395C2×D4—44no—
396C2×D4—44no—
397C2×D4—44no—
398C2×D4—82no—
399C2×D4—82no—
400C2×D4—82no—
401C2×D4—82no—
402C2×D4—82no—
403C2×D4C2×C22⋊C414yes—
404C22×C4—24no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—24no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—42no—
416C22×C4—42no—
417C22×C4—42no—
418C22×C4—42no—
419C22×C4—42no—
420C22×C4—42no—
421C22×C4—48no—
422C22×C4—48no—
423C22×C4—44no—
424C22×C4—44no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—42no—
442C22×C4—44no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—81no—
446C22×C4—81no—
447C22×C4—81no—
448C22×C4—81no—
449C22×C4—81no—
450C22×C4—81no—
451C22×C4—81no—
452C22×C4—81no—
453C22×C4—84no—
454C22×C4—82no—
455C22×C4—82no—
456C22×C4—816no—
457C22×C4—88no—
458C22×C4—88no—
459C22×C4—82no—
460C22×C4—82no—
461C22×C4—82no—
462C22×C4—82no—
463C22×C4—82no—
464C22×C4C2×C22⋊C411yescharacteristic
465C22×C4C2×C22⋊C411yescharacteristic
466C22×C4C2×C22⋊C411yescharacteristic
467C22×C4C2×C22⋊C411yescharacteristic
468C22×C4C4×D411yescharacteristic
469C22×C4C4×D411yescharacteristic
470C22×C4C4×D411yescharacteristic
471C22×C4C4×D411yescharacteristic
472C22×C4C4×D411yescharacteristic
473C22×C4C4×D411yescharacteristic
474C22×C4#12011yescharacteristic
475C22×C4#12011yescharacteristic
476C22×C4#12111yescharacteristic
477C22×C4#12111yescharacteristic
478C22×C4#12111yescharacteristic
479C22×C4#12111yescharacteristic
480C22×C4#12111yescharacteristic
481C22×C4#12111yescharacteristic
482C22×C4#12311yescharacteristic
483C22×C4#12311yescharacteristic
484C22×C4#12311yescharacteristic
485C22×C4#12311yescharacteristic
486C22×C4C23×C411yescharacteristic
487C22×C4C22×D411yescharacteristic
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D411yescharacteristic
490C22×C4C2×#4111yescharacteristic
491C22×C4C2×#4111yescharacteristic
492SD16—88no—
493C2×C8—24no—
494C2×C8—44no—
495C2×C8—42no—
496C2×C8—82no—
497C2×C8—82no—
498C2×C8—82no—
499C2×C8—82no—
500C2×C8—82no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—48no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—41no—
510C4⋊C4—41no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—82no—
514C4⋊C4—82no—
515C4⋊C4C2×C22⋊C414yes—
516C22⋊C4—22no—
517C22⋊C4—24no—
518C22⋊C4—24no—
519C22⋊C4—24no—
520C22⋊C4—24no—
521C22⋊C4—24no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—48no—
525C22⋊C4—48no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—84no—
534C22⋊C4—82no—
535C22⋊C4C2×SD1614yescomplemented
536C42—48no—
537C42—82no—
538C42—82no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—24no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—44no—
553C23—44no—
554C23—41no—
555C23—41no—
556C23—44no—
557C23—44no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—44no—
563C23—44no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—42no—
569C23—42no—
570C23—84no—
571C23—84no—
572C23—84no—
573C23—84no—
574C23#38611yescharacteristic
575C23#38611yescharacteristic
576C23#38611yescharacteristic
577C23#38611yescharacteristic
578C23C4×SD1612yes—
579C23C4×SD1612yes—
580C23#44012yes—
581C23#44012yes—
582C23#45012yes—
583C23#45012yes—
584C23#45212yes—
585C23#45212yes—
586C23#46112yes—
587C23#46112yes—
588C23#46312yes—
589C23#46312yes—
590C23C2×C4×D411yescharacteristic
591C23C2×#12011yescharacteristic
592C23C2×#12111yescharacteristic
593C23C22×SD1611yescharacteristic
594C23C2×#13511yescharacteristic
595C23C2×AGL(1,ℤ/8)11yescharacteristic
596C23C2×#13711yescharacteristic
597Q8—44no—
598Q8—82no—
599Q8—82no—
600Q8—82no—
601D4—44no—
602D4—48no—
603D4—48no—
604D4—44no—
605D4—44no—
606D4—44no—
607D4—44no—
608D4—82no—
609D4—82no—
610D4—82no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—48no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—816no—
661C2×C4—84no—
662C2×C4—84no—
663C2×C4—88no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4—82no—
670C2×C4—82no—
671C2×C4—82no—
672C2×C4—82no—
673C2×C4—82no—
674C2×C4—82no—
675C2×C4—164no—
676C2×C4#38611yescharacteristic
677C2×C4#38611yescharacteristic
678C2×C4#38611yescharacteristic
679C2×C4#38611yescharacteristic
680C2×C4C22×C22⋊C411yescharacteristic
681C2×C4C2×C4×D411yescharacteristic
682C2×C4C2×#12111yescharacteristic
683C2×C4C2×#12311yescharacteristic
684C8—44no—
685C8—82no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—24no—
703C22—24no—
704C22—41no—
705C22—41no—
706C22—42no—
707C22—41no—
708C22—41no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—88no—
722C22—88no—
723C22#187712yes—
724C22#187712yes—
725C22#187712yes—
726C22#187712yes—
727C22#190612yes—
728C22#191312yes—
729C22C2×#38611yescharacteristic
730C22C2×C4×SD1611yescharacteristic
731C22C2×#44011yescharacteristic
732C22C2×#45011yescharacteristic
733C22C2×#45211yescharacteristic
734C22C2×#46111yescharacteristic
735C22C2×#46311yescharacteristic
736C4—21no—
737C4—21no—
738C4—21no—
739C4—21no—
740C4—21no—
741C4—21no—
742C4—21no—
743C4—21no—
744C4—44no—
745C4—44no—
746C4—44no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—162no—
752C2—21no—
753C2—21no—
754C2—21no—
755C2—22no—
756C2—22no—
757C2—22no—
758C2—21no—
759C2—21no—
760C2—21no—
761C2—84no—
762C2#927514yesdirect product factor
763C2C2×#187711yescharacteristic
764C2C2×#190611yescharacteristic
765C2C2×#191311yescharacteristic
subgroupG/H
center, socleC23#386
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#1996C2semidirect
5. C22×#328C2semidirect
6. #9275C2direct (N × H)
7. C2×#1294C2semidirect
8. C2×#1282C2semidirect
14. #3187C4semidirect
16. C2×#481C4semidirect
19. C2×#448C4semidirect
36. #1996C22semidirect
44. C2×#328C22semidirect
46. #1294C22semidirect
47. #1282C22semidirect
48. C23×Q8C2×C4semidirect
67. C2×C22⋊Q8C2×C4semidirect
88. C22×C4⋊C4C2×C4semidirect
103. #481C2×C4semidirect
109. #448C2×C4semidirect
121. C2×C22⋊C8C2×C4semidirect
122. C2×C22⋊C8C2×C4semidirect
167. C22×Q8C22×C4semidirect
284. C2×C4⋊C4C22×C4semidirect
313. C2×C22⋊C4SD16semidirect
331. C22⋊C8C22×C4semidirect
535. C22⋊C4C2×SD16semidirect
762. C2#9275direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#31872
C2×#23642
C2×#19962
C2×#15192
C22×#3282
#92752
C2×#12942
C2×#12822