Finite Group Databasebeta

← #7630730

Subgroups — #7630730

Order 512.

7422 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C212yesmaximal, complemented
2#36024C218yesmaximal, complemented
3#35825C2116yesmaximal, complemented
4#35732C218yesmaximal, complemented
5#35103C214yesmaximal, complemented
6#35089C212yesmaximal, complemented
7#35006C214yesmaximal, complemented
8#35004C214yesmaximal, complemented
9#35002C211yesmaximal, characteristic, complemented
10#35001C211yesmaximal, characteristic
11#34993C212yesmaximal, complemented
12#34594C214yesmaximal, complemented
13C2×#2618C212yesmaximal, complemented
14#34273C212yesmaximal, complemented
15#34205C212yesmaximal, complemented
16C2×#2274C211yesmaximal, characteristic, complemented
17#3491—232no—
18C2×#552C22116yescomplemented
19C2×#551C22116yescomplemented
20C2×#543C2212yes—
21C2×#539C2218yescomplemented
22C2×#534C2212yes—
23C2×#534C2212yes—
24C2×#529C2218yescomplemented
25C22×#123C2214yes—
26C22×#121C2212yes—
27C2×#518C2214yes—
28C22×#117C2211yescharacteristic
29C22×#117C2211yescharacteristic
30C23×C4⋊C4C2211yescharacteristic
31#2857C2214yescomplemented
32#2856C2214yes—
33#2854C2218yescomplemented
34#2850C2218yescomplemented
35#2664C22116yescomplemented
36#2662C22116yescomplemented
37#2659C2214yescomplemented
38#2656C2214yes—
39#2639C2218yescomplemented
40#2618C2218yes—
41#2618C2218yes—
42#2618C2218yescomplemented
43#2618C2214yescomplemented
44#2618C2214yescomplemented
45#2618C2214yescomplemented
46#2618C2214yescomplemented
47#2601C22116yescomplemented
48#2601C22116yescomplemented
49#2566C2218yescomplemented
50#2565C2218yescomplemented
51#2560C22116yescomplemented
52#2558C22116yescomplemented
53#2556C22116yescomplemented
54#2554C22116yescomplemented
55#2549C2218yescomplemented
56#2545C2218yescomplemented
57#2544C2218yescomplemented
58#2539C2218yes—
59#2519C22116yescomplemented
60#2512C2218yescomplemented
61#2506C2218yescomplemented
62#2501C2214yes—
63#2488C22116yescomplemented
64#2472C22116yescomplemented
65#2461C22116yescomplemented
66#2452C2218yescomplemented
67#2445C2218yescomplemented
68#2440C2218yescomplemented
69#2433C2214yes—
70#2413C22116yescomplemented
71#2411C22116yescomplemented
72#2396C22116yescomplemented
73#2392C22116yescomplemented
74C2×#398C2214yescomplemented
75C2×#396C2218yescomplemented
76C2×#394C2214yescomplemented
77#2364C2218yes—
78#2361C2218yes—
79#2359C22116yescomplemented
80#2358C22116yescomplemented
81#2344C2214yescomplemented
82#2342C2218yescomplemented
83D4×C22⋊C4C2214yescomplemented
84#2325C2218yescomplemented
85#2325C2218yescomplemented
86#2315C2212yes—
87#2308C2214yes—
88C4×#121C2218yescomplemented
89C4×#121C2218yescomplemented
90C2×#386C2214yes—
91C2×#380C2212yes—
92#2274C2218yescomplemented
93#2274C2218yescomplemented
94C2×C4×C4⋊C4C2212yescomplemented
95C2×C4×C4⋊C4C2212yescomplemented
96C2×C4×C4⋊C4C2212yescomplemented
97C2×C4×C4⋊C4C2212yescomplemented
98C2×C4×C22⋊C4C2211yescharacteristic
99C2×C4×C22⋊C4C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101C2×C4×C22⋊C4C2211yescharacteristic
102C23×D4C2314yes—
103C23×D4C2312yes—
104C24×C4C2311yescharacteristic
105C24×C4C2311yescharacteristic
106C24×C4C2311yescharacteristic
107#552—2128no—
108#551—2128no—
109#543—216no—
110#539—264no—
111#534—216no—
112#534—216no—
113C2×C4⋊Q8C2314yes—
114C2×#127C2314yes—
115#529—264no—
116C2×#126C23116yes—
117C2×#126C23116yes—
118C2×#125C2318yes—
119C2×#125C23116yes—
120C2×#124C2318yes—
121C2×#124C2318yes—
122C2×#123—232no—
123C2×#123C2318yes—
124C2×#123C2318yes—
125C2×#123C23116yes—
126C2×#123C2318yes—
127C2×#123C2318yes—
128C2×#123C23116yes—
129C2×C22⋊Q8C23116yes—
130C2×C22⋊Q8C2318yes—
131C2×C22⋊Q8C23116yes—
132C2×#121—216no—
133C2×#121C2314yes—
134C2×#121C2318yes—
135C2×#121C2318yes—
136C2×#121C2314yes—
137C2×#121C2314yes—
138C2×#121C2314yes—
139C2×#120C2318yes—
140C2×#120C2318yes—
141#518—232no—
142C2×C4×Q8C2318yes—
143C2×C4×D4C2318yes—
144C2×C4×D4C23116yes—
145C2×C4×D4C23116yes—
146C2×C4×D4C2318yes—
147C2×C4×D4C2318yes—
148C2×#117—28no—
149C2×#117D4116yescomplemented
150C2×#117C2318yes—
151C2×#117C23116yes—
152C2×#117C2318yes—
153C2×#117C2318yes—
154C22×C4⋊C4—28no—
155C22×C4⋊C4C2312yes—
156C22×C4⋊C4C2314yes—
157C22×C4⋊C4C2314yes—
158C22×C4⋊C4C2311yescharacteristic
159C22×C4⋊C4C2311yescharacteristic
160C22×C4⋊C4C2311yescharacteristic
161C22×C4⋊C4C2311yescharacteristic
162C22×C4⋊C4C2312yes—
163C22×C4⋊C4C2318yes—
164C22×C4⋊C4C2314yes—
165C22×C4⋊C4C2312yes—
166C22×C22⋊C4C2311yescharacteristic
167C22×C22⋊C4C2314yes—
168C22×C22⋊C4C2318yes—
169C22×C22⋊C4C2314yes—
170C22×C22⋊C4C2318yes—
171C22×C22⋊C4C2318yes—
172C22×C22⋊C4C2311yescharacteristic
173C22×C22⋊C4C2311yescharacteristic
174C22×C22⋊C4C2311yescharacteristic
175C22×C42C2312yes—
176C22×C42C2312yes—
177C22×C42C2312yes—
178C22×C42C2312yes—
179C22×C42C2312yes—
180C22×C42C2312yes—
181#400C23116yes—
182#399C23116yes—
183#398C2318yes—
184#398C2318yes—
185#398C23116yes—
186#398C2318yes—
187#398C2318yes—
188#398C23116yes—
189#397C23116yes—
190#396C23116yes—
191#396C23116yes—
192#396C23116yes—
193#396C23116yes—
194#396C23116yes—
195#396C23116yes—
196#395C23116yes—
197#394C2318yes—
198#394C2318yes—
199#394C23116yes—
200#394C2318yes—
201#394C2318yes—
202#394C23116yes—
203#393C23116yes—
204#392C23116yes—
205#391C2318yes—
206#391C2318yes—
207#390C2318yes—
208#390C2318yes—
209#390C2318yes—
210#390C2318yes—
211#390C2318yes—
212#390C2318yes—
213#390C2318yes—
214#390C2318yes—
215#389C2318yes—
216#389C2318yes—
217#389C2318yes—
218#389C2318yes—
219#389C2318yes—
220#389C2318yes—
221#388C23116yes—
222#388C23116yes—
223#388C23116yes—
224#388C23116yes—
225#388C23116yes—
226#388C23116yes—
227#388C23116yes—
228#388C23116yes—
229#387C23116yes—
230#387C23116yes—
231#386C23116yes—
232#386C23116yes—
233#386C23116yes—
234#386C2318yes—
235#386C23116yes—
236#386C23116yes—
237#386C2318yes—
238#385C23116yes—
239#385C23116yes—
240#385C23116yes—
241#384C2314yes—
242#384C2314yes—
243#382C2318yes—
244#381C2318yes—
245#380C2318yes—
246#380C2314yes—
247#380C2314yes—
248#380C2314yes—
249#380C2314yes—
250#379C2318yes—
251C4×C4⋊C4C2318yes—
252C4×C4⋊C4C2318yes—
253C4×C4⋊C4C2318yes—
254C4×C4⋊C4C2318yes—
255C4×C4⋊C4C2318yes—
256C4×C4⋊C4C23116yes—
257C4×C4⋊C4C2318yes—
258C4×C4⋊C4C23116yes—
259C4×C22⋊C4C23116yes—
260C4×C22⋊C4C2314yes—
261C4×C22⋊C4C2314yes—
262C4×C22⋊C4C23116yes—
263C4×C22⋊C4C2318yes—
264C4×C22⋊C4C2314yes—
265C4×C22⋊C4C2314yes—
266C4×C22⋊C4C2318yes—
267C2×#95C2312yes—
268C2×#95C2312yes—
269C2×#95C2318yes—
270C2×#95C2314yes—
271C2×#95C2312yes—
272C2×#95C2312yes—
273C25C2414yes—
274C25C2411yescharacteristic
275C22×Q8C2418yes—
276C22×D4—216no—
277C22×D4—216no—
278C22×D4—216no—
279C22×D4—28no—
280C22×D4—84no—
281C22×D4C2418yes—
282C22×D4C2418yes—
283C22×D4C2414yes—
284C22×D4C2418yes—
285C22×D4C2418yes—
286C22×D4C2414yes—
287C23×C4—24no—
288C23×C4—24no—
289C23×C4—24no—
290C23×C4—82no—
291C23×C4—82no—
292C23×C4C2×D418yes—
293C23×C4#4118yes—
294C23×C4C2414yes—
295C23×C4C2414yes—
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C23×C4C2418yes—
299C23×C4C2414yes—
300C23×C4C2412yes—
301C23×C4C24116yes—
302C23×C4C2411yescharacteristic
303C23×C4C2411yescharacteristic
304C23×C4C2412yes—
305C23×C4C2412yes—
306C23×C4C2412yes—
307C23×C4C2412yes—
308C23×C4C2412yes—
309C23×C4C2411yescharacteristic
310C23×C4C2411yescharacteristic
311C4⋊Q8—84no—
312#127—84no—
313#126—264no—
314#126—264no—
315#125—264no—
316#125—232no—
317#124—232no—
318#124—88no—
319#123—232no—
320#123—232no—
321#123—264no—
322#123—264no—
323#123—232no—
324#123—232no—
325C22⋊Q8—232no—
326C22⋊Q8—264no—
327C22⋊Q8—264no—
328#121—232no—
329#121—216no—
330#121—216no—
331#121—216no—
332#121—216no—
333#121—232no—
334#120—232no—
335#120—232no—
336C4×Q8—232no—
337C4×D4—264no—
338C4×D4—264no—
339C4×D4—232no—
340C4×D4—88no—
341C4×D4—88no—
342#117—232no—
343#117—232no—
344#117—264no—
345#117C2×D4164yescomplemented
346C2×C4⋊C4—232no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—24no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—24no—
351C2×C4⋊C4—216no—
352C2×C4⋊C4—216no—
353C2×C4⋊C4—28no—
354C2×C4⋊C4—28no—
355C2×C4⋊C4—84no—
356C2×C4⋊C4C2×D4116yescomplemented
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2414yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2418yes—
364C2×C4⋊C4C24116yes—
365C2×C4⋊C4C2414yes—
366C2×C4⋊C4C2414yes—
367C2×C4⋊C4C24116yes—
368C2×C4⋊C4C24116yes—
369C2×C4⋊C4C24116yes—
370C2×C4⋊C4C2418yes—
371C2×C4⋊C4C2418yes—
372C2×C4⋊C4C2418yes—
373C2×C4⋊C4C2418yes—
374C2×C4⋊C4C2418yes—
375C2×C4⋊C4C2418yes—
376C2×C4⋊C4C2418yes—
377C2×C4⋊C4C2418yes—
378C2×C22⋊C4—216no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—232no—
381C2×C22⋊C4—216no—
382C2×C22⋊C4—232no—
383C2×C22⋊C4—88no—
384C2×C22⋊C4C2×D418yes—
385C2×C22⋊C4C2×D418yes—
386C2×C22⋊C4#4118yes—
387C2×C22⋊C4C2418yes—
388C2×C22⋊C4C2414yes—
389C2×C22⋊C4C24116yes—
390C2×C22⋊C4C2418yes—
391C2×C22⋊C4C24116yes—
392C2×C22⋊C4C2418yes—
393C2×C22⋊C4C2418yes—
394C2×C22⋊C4C24116yes—
395C2×C22⋊C4C24116yes—
396C2×C22⋊C4C24116yes—
397C2×C22⋊C4C24116yes—
398C2×C22⋊C4C24116yes—
399C2×C22⋊C4C24116yes—
400C2×C22⋊C4C24116yes—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C2414yes—
403C2×C22⋊C4C2414yes—
404C2×C42—28no—
405C2×C42—82no—
406C2×C42—82no—
407C2×C42—82no—
408C2×C42—82no—
409C2×C42C2×D4116yescomplemented
410C2×C42C24116yes—
411C2×C42C2418yes—
412C2×C42C2418yes—
413C2×C42C2418yes—
414C2×C42C2418yes—
415C2×C42C2414yes—
416C2×C42C2414yes—
417C2×C42C2418yes—
418#95C2414yes—
419#95C2418yes—
420#95C2414yes—
421#95C2418yes—
422#95C2418yes—
423#95C2418yes—
424#95C24116yes—
425#95C2418yes—
426#95C24116yes—
427#95C24116yes—
428#95C24116yes—
429#95C24116yes—
430C24—28no—
431C24—28no—
432C24—28no—
433C24—42no—
434C24—42no—
435C24—48no—
436C24—48no—
437C24C22×D414yes—
438C24C2×#4114yes—
439C24C2×#4114yes—
440C24C2518yes—
441C24C2512yes—
442C24C2511yescharacteristic
443C2×Q8—216no—
444C2×Q8—48no—
445C2×Q8—48no—
446C2×D4—216no—
447C2×D4—216no—
448C2×D4—216no—
449C2×D4—216no—
450C2×D4—216no—
451C2×D4—216no—
452C2×D4—216no—
453C2×D4—28no—
454C2×D4—216no—
455C2×D4—28no—
456C2×D4—48no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—48no—
462C2×D4—464no—
463C2×D4—816no—
464C22×C4—232no—
465C22×C4—22no—
466C22×C4—28no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—24no—
473C22×C4—28no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—28no—
477C22×C4—216no—
478C22×C4—28no—
479C22×C4—232no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—48no—
499C22×C4—88no—
500C22×C4—88no—
501C22×C4C22×D414yes—
502C22×C4C22×D4116yes—
503C22×C4C22×D414yes—
504C22×C4C22×D418yes—
505C22×C4C22×D418yes—
506C22×C4C2×#4118yes—
507C22×C4C2×#4118yes—
508C22×C4C2×#4118yes—
509C22×C4C2×#4114yes—
510C22×C4C2×#4114yes—
511C22×C4C2514yes—
512C22×C4C2512yes—
513C22×C4C2512yes—
514C22×C4C2518yes—
515C22×C4C25116yes—
516C22×C4C2514yes—
517C22×C4C2514yes—
518C22×C4C2512yes—
519C22×C4C2512yes—
520C22×C4C2511yescharacteristic
521C22×C4C2514yes—
522C22×C4C2512yes—
523C22×C4C2511yescharacteristic
524C4⋊C4—232no—
525C4⋊C4—232no—
526C4⋊C4—232no—
527C4⋊C4—232no—
528C4⋊C4—216no—
529C4⋊C4—216no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—216no—
537C4⋊C4—28no—
538C4⋊C4—28no—
539C4⋊C4—216no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4C22×D4132yes—
545C22⋊C4—216no—
546C22⋊C4—216no—
547C22⋊C4—28no—
548C22⋊C4—232no—
549C22⋊C4—232no—
550C22⋊C4—232no—
551C22⋊C4—232no—
552C22⋊C4—216no—
553C22⋊C4—216no—
554C22⋊C4—232no—
555C22⋊C4—416no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4C22×D4116yes—
560C22⋊C4C22×D4116yes—
561C22⋊C4C2×#41116yes—
562C42—232no—
563C42—216no—
564C42—48no—
565C42—48no—
566C42—48no—
567C42—44no—
568C42—44no—
569C42C22×D4132yes—
570C23—22no—
571C23—24no—
572C23—22no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—216no—
578C23—216no—
579C23—44no—
580C23—48no—
581C23—48no—
582C23—44no—
583C23—416no—
584C23—88no—
585C23—816no—
586C23—816no—
587C23—88no—
588C23#532116yes—
589C23C23×D412yes—
590C23C23×D414yes—
591C23C22×#4114yes—
592C23C22×#4114yes—
593C23C22×#4112yes—
594C23C22×#4112yes—
595C23C2611yescharacteristic
596Q8—816no—
597D4—416no—
598D4—432no—
599D4—432no—
600D4—816no—
601D4—816no—
602D4—88no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—232no—
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—28no—
620C2×C4—216no—
621C2×C4—24no—
622C2×C4—28no—
623C2×C4—28no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—216no—
630C2×C4—24no—
631C2×C4—216no—
632C2×C4—48no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—48no—
636C2×C4—48no—
637C2×C4—48no—
638C2×C4—48no—
639C2×C4—48no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—416no—
643C2×C4—832no—
644C2×C4—816no—
645C2×C4—88no—
646C2×C4C23×D418yes—
647C2×C4C23×D414yes—
648C2×C4C23×D418yes—
649C2×C4C23×D414yes—
650C2×C4C22×#4118yes—
651C2×C4C22×#4112yes—
652C2×C4C22×#4114yes—
653C2×C4C22×#4112yes—
654C22—22no—
655C22—24no—
656C22—24no—
657C22—28no—
658C22—24no—
659C22—28no—
660C22—24no—
661C22—22no—
662C22—416no—
663C22—48no—
664C22—416no—
665C22—416no—
666C22—48no—
667C22—48no—
668C22—1616no—
669C22C2×#53218yes—
670C22C2×#53214yes—
671C22C24×D411yescharacteristic
672C22C23×#4111yescharacteristic
673C22C23×#4111yescharacteristic
674C22H(7,𝔽2)12yes—
675C222−1+612yes—
676C4—22no—
677C4—24no—
678C4—22no—
679C4—28no—
680C4—28no—
681C4—28no—
682C4—24no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—44no—
687C4—416no—
688C4—48no—
689C2—28no—
690C2—24no—
691C2—88no—
692C2C22×#53211yescharacteristic
693C2#6284411yescharacteristic
694C2#6284712yes—
695C2#6285312yes—
696C2#6286011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35001C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3491C2semidirect
2. #36024C2semidirect
3. #35825C2semidirect
4. #35732C2semidirect
5. #35103C2semidirect
6. #35089C2semidirect
7. #35006C2semidirect
8. #35004C2semidirect
9. #35002C2semidirect
11. #34993C2semidirect
12. #34594C2semidirect
13. C2×#2618C2semidirect
14. #34273C2semidirect
15. #34205C2semidirect
16. C2×#2274C2semidirect
18. C2×#552C22semidirect
19. C2×#551C22semidirect
21. C2×#539C22semidirect
24. C2×#529C22semidirect
31. #2857C22semidirect
33. #2854C22semidirect
34. #2850C22semidirect
35. #2664C22semidirect
36. #2662C22semidirect
37. #2659C22semidirect
39. #2639C22semidirect
42. #2618C22semidirect
43. #2618C22semidirect
44. #2618C22semidirect
45. #2618C22semidirect
46. #2618C22semidirect
47. #2601C22semidirect
48. #2601C22semidirect
49. #2566C22semidirect
50. #2565C22semidirect
51. #2560C22semidirect
52. #2558C22semidirect
53. #2556C22semidirect
54. #2554C22semidirect
55. #2549C22semidirect
56. #2545C22semidirect
57. #2544C22semidirect
59. #2519C22semidirect
60. #2512C22semidirect
61. #2506C22semidirect
63. #2488C22semidirect
64. #2472C22semidirect
65. #2461C22semidirect
66. #2452C22semidirect
67. #2445C22semidirect
68. #2440C22semidirect
70. #2413C22semidirect
71. #2411C22semidirect
72. #2396C22semidirect
73. #2392C22semidirect
74. C2×#398C22semidirect
75. C2×#396C22semidirect
76. C2×#394C22semidirect
79. #2359C22semidirect
80. #2358C22semidirect
81. #2344C22semidirect
82. #2342C22semidirect
83. D4×C22⋊C4C22semidirect
84. #2325C22semidirect
85. #2325C22semidirect
88. C4×#121C22semidirect
89. C4×#121C22semidirect
92. #2274C22semidirect
93. #2274C22semidirect
94. C2×C4×C4⋊C4C22semidirect
95. C2×C4×C4⋊C4C22semidirect
96. C2×C4×C4⋊C4C22semidirect
97. C2×C4×C4⋊C4C22semidirect
149. C2×#117D4semidirect
345. #117C2×D4semidirect
356. C2×C4⋊C4C2×D4semidirect
409. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
#360242
#358252
#357322
#351032
#350892
#350062
#350042
#350022
#350012
#349932
#345942
C2×#26182
#342732
#342052
C2×#22742