Finite Group Databasebeta

← #391022

Subgroups — #391022

Order 512.

1000 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#395C211yesmaximal, characteristic
2#11380C211yesmaximal, characteristic
3#11380C211yesmaximal, characteristic
4#11346C211yesmaximal, characteristic
5#11255C211yesmaximal, characteristic
6#11255C211yesmaximal, characteristic
7#10877C211yesmaximal, characteristic
8#10876C211yesmaximal, characteristic
9#10874C211yesmaximal, characteristic
10#10874C211yesmaximal, characteristic
11#10874C211yesmaximal, characteristic
12#10835C211yesmaximal, characteristic
13#10834C211yesmaximal, characteristic
14#10798C211yesmaximal, characteristic
15#10797C211yesmaximal, characteristic
16C22×C4×Q8C2211yescharacteristic
17C22×C4⋊C8C2211yescharacteristic
18C22×C4⋊C8C2211yescharacteristic
19C22×#97C2211yescharacteristic
20C22×C4×C8C2211yescharacteristic
21C22×C4×C8C2211yescharacteristic
22C2×#395C411yescharacteristic
23C2×C4×C4⋊C4C2211yescharacteristic
24C2×C4×C4⋊C4C2211yescharacteristic
25C2×C4×C4⋊C4C2211yescharacteristic
26C2×#336C2211yescharacteristic
27C2×#336C2211yescharacteristic
28C2×#336C2211yescharacteristic
29C2×#336C2211yescharacteristic
30C2×#336C2211yescharacteristic
31C2×#336C2211yescharacteristic
32C2×#336C2211yescharacteristic
33C2×#336C2211yescharacteristic
34C2×#336C2211yescharacteristic
35C2×#336C2211yescharacteristic
36C2×#336C2211yescharacteristic
37C2×#336C2211yescharacteristic
38C2×#336C2211yescharacteristic
39C2×#336C2211yescharacteristic
40C2×#336C2211yescharacteristic
41C2×#336C2211yescharacteristic
42C2×#336C2211yescharacteristic
43C2×#336C2211yescharacteristic
44C2×#336C2211yescharacteristic
45C2×#336C2211yescharacteristic
46C2×#336C2211yescharacteristic
47C2×#336C2211yescharacteristic
48C2×#336C2211yescharacteristic
49#1446C411yescharacteristic
50#1444C411yescharacteristic
51#1444C411yescharacteristic
52#1444C411yescharacteristic
53#1441C411yescharacteristic
54#1441C411yescharacteristic
55#1441C411yescharacteristic
56C4×#95C2211yescharacteristic
57C4×#95C2211yescharacteristic
58C4×#95C2211yescharacteristic
59C23×Q8C2×C411yescharacteristic
60C23×C8C2311yescharacteristic
61C23×C8C2311yescharacteristic
62C23×C8C2311yescharacteristic
63C23×C8C2311yescharacteristic
64C23×C8C2311yescharacteristic
65C23×C8C2311yescharacteristic
66C23×C8C2311yescharacteristic
67C23×C8C2311yescharacteristic
68C2×C4×Q8—41no—
69C2×C4×Q8—41no—
70C2×C4×Q8—41no—
71C2×C4×Q8—41no—
72C2×C4×Q8—41no—
73C2×C4×Q8—41no—
74C22×C4⋊C4C2×C411yescharacteristic
75C22×C4⋊C4C2×C411yescharacteristic
76C22×C4⋊C4C2×C411yescharacteristic
77C22×C4⋊C4C2×C411yescharacteristic
78C22×C4⋊C4C2×C411yescharacteristic
79C22×C4⋊C4C2×C411yescharacteristic
80C22×C4⋊C4C2×C411yescharacteristic
81C22×C4⋊C4C2×C411yescharacteristic
82C22×C4⋊C4C2×C411yescharacteristic
83C22×C42C2311yescharacteristic
84C22×C42C2311yescharacteristic
85C22×C42C2311yescharacteristic
86C22×C42C2311yescharacteristic
87C22×C42C2311yescharacteristic
88C22×C42C2311yescharacteristic
89C22×C42C2311yescharacteristic
90C2×C4⋊C8—22no—
91C2×C4⋊C8—22no—
92C2×C4⋊C8—22no—
93C2×C4⋊C8—22no—
94C2×C4⋊C8—41no—
95C2×C4⋊C8—41no—
96C2×#97—22no—
97C2×#97—22no—
98C2×#97—41no—
99C2×C4×C8—22no—
100C2×C4×C8—22no—
101C2×C4×C8—41no—
102C2×C4×C8—41no—
103C2×C4×C8—41no—
104C2×C4×C8—41no—
105#395—24no—
106C4×C4⋊C4—41no—
107C4×C4⋊C4—41no—
108C4×C4⋊C4—41no—
109C4×C4⋊C4—41no—
110C4×C4⋊C4—41no—
111C4×C4⋊C4—41no—
112C2×#95C2×C411yescharacteristic
113C2×#95C2×C411yescharacteristic
114C2×#95C2×C411yescharacteristic
115C2×#95C2×C411yescharacteristic
116C2×#95C2×C411yescharacteristic
117C2×#95C2×C411yescharacteristic
118C2×#95C2×C411yescharacteristic
119C2×#95C2×C411yescharacteristic
120C2×#95C2×C411yescharacteristic
121C2×#95C2×C411yescharacteristic
122C2×#95C2×C411yescharacteristic
123C2×#95C2×C411yescharacteristic
124C2×#95C2×C411yescharacteristic
125C2×#95C2×C411yescharacteristic
126C2×#95C2×C411yescharacteristic
127C2×#95C2×C411yescharacteristic
128C2×#95C2×C411yescharacteristic
129C2×#95C2×C411yescharacteristic
130#336—22no—
131#336—22no—
132#336—22no—
133#336—22no—
134#336—41no—
135#336—41no—
136#336—41no—
137#336—41no—
138#336—41no—
139#336—41no—
140#336—41no—
141#336—41no—
142#336—41no—
143#336—41no—
144#336—41no—
145#336—41no—
146#336—41no—
147#336—41no—
148#336—41no—
149#336—41no—
150#336—41no—
151#336Q814yescomplemented
152#336Q814yescomplemented
153C22×Q8—22no—
154C22×Q8—22no—
155C22×Q8—22no—
156C22×Q8—41no—
157C22×Q8—41no—
158C22×Q8—41no—
159C22×Q8—41no—
160C23×C4C22×C411yescharacteristic
161C23×C4C22×C411yescharacteristic
162C23×C4C22×C411yescharacteristic
163C23×C4C22×C411yescharacteristic
164C23×C4C22×C411yescharacteristic
165C23×C4C22×C411yescharacteristic
166C23×C4C22×C411yescharacteristic
167C23×C4C22×C411yescharacteristic
168C23×C4C22×C411yescharacteristic
169C23×C4C22×C411yescharacteristic
170C23×C4C22×C411yescharacteristic
171C23×C4C22×C411yescharacteristic
172C23×C4C22×C411yescharacteristic
173C23×C4C22×C411yescharacteristic
174C23×C4C2411yescharacteristic
175C22×C8—21no—
176C22×C8—21no—
177C22×C8—21no—
178C22×C8—21no—
179C22×C8—21no—
180C22×C8—21no—
181C22×C8—21no—
182C22×C8—21no—
183C22×C8—21no—
184C22×C8—21no—
185C22×C8—21no—
186C22×C8—21no—
187C22×C8—21no—
188C22×C8—21no—
189C22×C8—21no—
190C22×C8—21no—
191C22×C8—21no—
192C22×C8—21no—
193C22×C8—21no—
194C22×C8—21no—
195C22×C8—21no—
196C22×C8—21no—
197C22×C8—21no—
198C22×C8—21no—
199C22×C8—21no—
200C22×C8—21no—
201C22×C8—21no—
202C22×C8—21no—
203C22×C8—21no—
204C22×C8—21no—
205C22×C8—21no—
206C22×C8—21no—
207C22×C8—21no—
208C22×C8—21no—
209C22×C8—21no—
210C22×C8—21no—
211C22×C8—21no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—21no—
216C22×C8—21no—
217C22×C8—21no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—21no—
224C22×C8—21no—
225C22×C8C2×Q812yes—
226C22×C8C2×Q812yes—
227C22×C8C2×Q812yes—
228C22×C8C2×Q812yes—
229C22×C8#4112yes—
230C22×C8#4112yes—
231C4×Q8—44no—
232C4×Q8—44no—
233C4×Q8—44no—
234C4×Q8—44no—
235C2×C4⋊C4—22no—
236C2×C4⋊C4—22no—
237C2×C4⋊C4—22no—
238C2×C4⋊C4—22no—
239C2×C4⋊C4—22no—
240C2×C4⋊C4—22no—
241C2×C4⋊C4—22no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—22no—
244C2×C4⋊C4—41no—
245C2×C4⋊C4—41no—
246C2×C4⋊C4—41no—
247C2×C4⋊C4—41no—
248C2×C4⋊C4—41no—
249C2×C4⋊C4—41no—
250C2×C4⋊C4—41no—
251C2×C4⋊C4—41no—
252C2×C4⋊C4—41no—
253C2×C4⋊C4—41no—
254C2×C4⋊C4—41no—
255C2×C4⋊C4—41no—
256C2×C4⋊C4—41no—
257C2×C4⋊C4—41no—
258C2×C4⋊C4—41no—
259C2×C4⋊C4—41no—
260C2×C4⋊C4—41no—
261C2×C4⋊C4M1614yes—
262C2×C42—21no—
263C2×C42—21no—
264C2×C42—21no—
265C2×C42—21no—
266C2×C42—21no—
267C2×C42—21no—
268C2×C42—21no—
269C2×C42—21no—
270C2×C42—21no—
271C2×C42—21no—
272C2×C42—21no—
273C2×C42—21no—
274C2×C42—21no—
275C2×C42—21no—
276C2×C42—21no—
277C2×C42—21no—
278C2×C42—21no—
279C2×C42—21no—
280C2×C42—21no—
281C2×C42—21no—
282C2×C42—21no—
283C2×C42—21no—
284C2×C42—21no—
285C2×C42—21no—
286C2×C42—21no—
287C2×C42—21no—
288C2×C42—21no—
289C2×C42—21no—
290C2×C42—21no—
291C2×C42—21no—
292C2×C42—21no—
293C2×C42—21no—
294C2×C42—21no—
295C2×C42—21no—
296C2×C42—21no—
297C2×C42—21no—
298C2×C42—21no—
299C2×C42—21no—
300C2×C42C2×Q812yes—
301C2×C42C2×Q812yes—
302C2×C42#4112yes—
303C2×C42#4112yes—
304C4⋊C8—44no—
305C4⋊C8—44no—
306#97—44no—
307C4×C8—44no—
308C4×C8—44no—
309#95—22no—
310#95—22no—
311#95—22no—
312#95—22no—
313#95—22no—
314#95—22no—
315#95—22no—
316#95—22no—
317#95—22no—
318#95—41no—
319#95—41no—
320#95—41no—
321#95—41no—
322#95—41no—
323#95—41no—
324#95—41no—
325#95—41no—
326#95—41no—
327C24C23×C411yescharacteristic
328C2×Q8—44no—
329C2×Q8—44no—
330C2×Q8—44no—
331C2×Q8—44no—
332C2×Q8—44no—
333C2×Q8—44no—
334C2×Q8—44no—
335C22×C4—21no—
336C22×C4—21no—
337C22×C4—21no—
338C22×C4—21no—
339C22×C4—21no—
340C22×C4—21no—
341C22×C4—21no—
342C22×C4—21no—
343C22×C4—21no—
344C22×C4—21no—
345C22×C4—21no—
346C22×C4—21no—
347C22×C4—21no—
348C22×C4—21no—
349C22×C4—21no—
350C22×C4—21no—
351C22×C4—21no—
352C22×C4—21no—
353C22×C4—21no—
354C22×C4—21no—
355C22×C4—21no—
356C22×C4—21no—
357C22×C4—21no—
358C22×C4—21no—
359C22×C4—21no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—21no—
366C22×C4—21no—
367C22×C4—21no—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—21no—
371C22×C4—21no—
372C22×C4—21no—
373C22×C4—21no—
374C22×C4—21no—
375C22×C4—21no—
376C22×C4—21no—
377C22×C4—21no—
378C22×C4—21no—
379C22×C4—21no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—21no—
386C22×C4—21no—
387C22×C4—21no—
388C22×C4—21no—
389C22×C4—21no—
390C22×C4—21no—
391C22×C4—21no—
392C22×C4—21no—
393C22×C4—21no—
394C22×C4—21no—
395C22×C4—21no—
396C22×C4—21no—
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4C4×Q812yes—
422C22×C4C4×Q812yes—
423C22×C4C4×Q812yes—
424C22×C4C4×Q812yes—
425C22×C4C2×M1612yes—
426C22×C4C2×M1612yes—
427C22×C4C2×M1612yes—
428C22×C4#13112yes—
429C22×C4#13112yes—
430C22×C4#13112yes—
431C22×C4#13112yes—
432C22×C4#13112yes—
433C22×C4C22×Q811yescharacteristic
434C22×C4C22×Q811yescharacteristic
435C22×C4C2×#4111yescharacteristic
436C22×C4C2×#4111yescharacteristic
437C22×C4C2×#4111yescharacteristic
438C22×C4C2×#4111yescharacteristic
439C22×C4H(5,𝔽2)11yescharacteristic
440C22×C4H(5,𝔽2)11yescharacteristic
441C22×C4H(5,𝔽2)11yescharacteristic
442C22×C4H(5,𝔽2)11yescharacteristic
443C22×C4H(5,𝔽2)11yescharacteristic
444C22×C4H(5,𝔽2)11yescharacteristic
445C22×C42−1+411yescharacteristic
446C22×C42−1+411yescharacteristic
447C2×C8—22no—
448C2×C8—22no—
449C2×C8—22no—
450C2×C8—22no—
451C2×C8—22no—
452C2×C8—22no—
453C2×C8—22no—
454C2×C8—22no—
455C2×C8—22no—
456C2×C8—22no—
457C2×C8—22no—
458C2×C8—22no—
459C2×C8—22no—
460C2×C8—22no—
461C2×C8—22no—
462C2×C8—22no—
463C2×C8—22no—
464C2×C8—22no—
465C2×C8—41no—
466C2×C8—41no—
467C2×C8—41no—
468C2×C8—41no—
469C2×C8—41no—
470C2×C8—41no—
471C2×C8—41no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—41no—
482C2×C8—41no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—41no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C4⋊C4—44no—
504C4⋊C4—44no—
505C4⋊C4—44no—
506C4⋊C4—44no—
507C4⋊C4—44no—
508C4⋊C4—44no—
509C4⋊C4—44no—
510C4⋊C4—44no—
511C4⋊C4—44no—
512C42—22no—
513C42—22no—
514C42—22no—
515C42—22no—
516C42—22no—
517C42—22no—
518C42—22no—
519C42—22no—
520C42—41no—
521C42—41no—
522C42—41no—
523C42—41no—
524C42—41no—
525C42—41no—
526C42—41no—
527C42—41no—
528C42—41no—
529C42—41no—
530C42—41no—
531C42—41no—
532C42—41no—
533C42—41no—
534C42—41no—
535C42—41no—
536C42—41no—
537C42—41no—
538C42—41no—
539C42—41no—
540C23C2×C4×Q811yescharacteristic
541C23C2×C4×Q811yescharacteristic
542C23C4×#4111yescharacteristic
543C23#51811yescharacteristic
544C23#51811yescharacteristic
545C23#51811yescharacteristic
546C23#51911yescharacteristic
547C23C22×M1611yescharacteristic
548C23C2×#13111yescharacteristic
549C23C2×#13111yescharacteristic
550C23C2×#13111yescharacteristic
551C23C2×#13111yescharacteristic
552C23C2×#13111yescharacteristic
553C23#56811yescharacteristic
554C23#56811yescharacteristic
555Q8—416no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
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—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4#44614yes—
654C2×C4#53911yescharacteristic
655C2×C4#53911yescharacteristic
656C2×C4#54211yescharacteristic
657C2×C4#54211yescharacteristic
658C2×C4#54211yescharacteristic
659C2×C4#54211yescharacteristic
660C2×C4#54211yescharacteristic
661C2×C4#54211yescharacteristic
662C2×C4#54411yescharacteristic
663C2×C4#54411yescharacteristic
664C2×C4#54411yescharacteristic
665C2×C4#54411yescharacteristic
666C2×C4#55111yescharacteristic
667C2×C4#55111yescharacteristic
668C2×C4#55111yescharacteristic
669C2×C4#55111yescharacteristic
670C2×C4#55411yescharacteristic
671C2×C4#55411yescharacteristic
672C2×C4#55411yescharacteristic
673C2×C4#55411yescharacteristic
674C2×C4#55411yescharacteristic
675C2×C4#55411yescharacteristic
676C2×C4#55511yescharacteristic
677C2×C4Q8211yescharacteristic
678C2×C4#56011yescharacteristic
679C2×C4#56011yescharacteristic
680C2×C4#56011yescharacteristic
681C2×C4H(3,𝔽4)11yescharacteristic
682C8—42no—
683C8—42no—
684C8—42no—
685C8—42no—
686C8—42no—
687C8—42no—
688C8—81no—
689C8—81no—
690C22#233111yescharacteristic
691C22#233111yescharacteristic
692C22#233211yescharacteristic
693C22#236811yescharacteristic
694C22#236811yescharacteristic
695C22#236911yescharacteristic
696C22#237511yescharacteristic
697C22C2×#44611yescharacteristic
698C22#296011yescharacteristic
699C22#296011yescharacteristic
700C22#296011yescharacteristic
701C22#296211yescharacteristic
702C22#296211yescharacteristic
703C22#296211yescharacteristic
704C22Q8×M1611yescharacteristic
705C22#296511yescharacteristic
706C22#296611yescharacteristic
707C22#296811yescharacteristic
708C22#296911yescharacteristic
709C22#297311yescharacteristic
710C22#297411yescharacteristic
711C22#297411yescharacteristic
712C22#297611yescharacteristic
713C22#297611yescharacteristic
714C22#297611yescharacteristic
715C22#297711yescharacteristic
716C22#297711yescharacteristic
717C22#297711yescharacteristic
718C22#297911yescharacteristic
719C22#298111yescharacteristic
720C22#298111yescharacteristic
721C22#298411yescharacteristic
722C22#298611yescharacteristic
723C22#298611yescharacteristic
724C22#298711yescharacteristic
725C4—24no—
726C4—42no—
727C4—42no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—81no—
736C4—81no—
737C4—81no—
738C4—81no—
739C4#273711yescharacteristic
740C4#273711yescharacteristic
741C4#274211yescharacteristic
742C4#274211yescharacteristic
743C4#276311yescharacteristic
744C4#276311yescharacteristic
745C4#279211yescharacteristic
746C4#279211yescharacteristic
747C2#1459911yescharacteristic
748C2#2230811yescharacteristic
749C2#2230911yescharacteristic
750C2#2231411yescharacteristic
751C2#2231511yescharacteristic
752C2#2232111yescharacteristic
753C2#2232411yescharacteristic
754C2#2323911yescharacteristic
755C2#2324111yescharacteristic
756C2#2324311yescharacteristic
757C2#2324411yescharacteristic
758C2#2324811yescharacteristic
759C2#2325111yescharacteristic
760C2#2330711yescharacteristic
761C2#2331011yescharacteristic
subgroupG/H
center, Frattini, cosocleC23×C4C24
commutator, socle, prime radicalC24C23×C4
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C23×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
151. #336Q8semidirect
152. #336Q8semidirect

Maximal subgroups

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

subgroupindex
C4×#3952
#113802
#113462
#112552
#108772
#108762
#108742
#108352
#108342
#107982
#107972