Finite Group Databasebeta

← #14683040

Subgroups — #14683040

Order 2816.

1918 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622834C211yesmaximal, characteristic
2C2×#10622833C211yesmaximal, characteristic
3#13066873C212yesmaximal, complemented
4#13066861C212yesmaximal, complemented
5#13066861C212yesmaximal, complemented
6#13066850C212yesmaximal, complemented
7#13066839C212yesmaximal, complemented
8#13066838C212yesmaximal, complemented
9C2×C11×#386C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C24×C4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C22×C11×C22⋊C4C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C22×C22⋊Dic11C2212yes—
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C4⋊Dic11C2212yes—
20C22×C4⋊Dic11C2211yescharacteristic
21C22×C4×Dic11C2211yescharacteristic
22C11×#386C418yescomplemented
23C2×C11×#95C2212yes—
24#10622834—24no—
25#10622833—24no—
26C2×C11⋊#95C2212yes—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C25×C11C2311yescharacteristic
35C25×C11C2311yescharacteristic
36C22×D4×C11—41no—
37C22×D4×C11—41no—
38C22×D4×C11—41no—
39C22×D4×C11—41no—
40C22×D4×C11C2×C414yes—
41C22×D4×C11D414yes—
42C22×D4×C11Q814yes—
43C23×C4×C11—41no—
44C23×C4×C11—41no—
45C23×C4×C11—42no—
46C23×C4×C11—42no—
47C23×C4×C11C2×C414yescomplemented
48C23×C4×C11C2312yes—
49C23×C4×C11C2312yes—
50C23×C4×C11C2311yescharacteristic
51C23×Dic11—22no—
52C23×Dic11—24no—
53C23×Dic11—41no—
54C23×Dic11—41no—
55C23×Dic11—42no—
56C23×Dic11C2312yes—
57C23×Dic11C2312yes—
58C23×Dic11C2312yes—
59C23×Dic11C2312yes—
60C2×C11×C22⋊C4—42no—
61C2×C11×C22⋊C4—42no—
62C2×C11×C22⋊C4—41no—
63C2×C11×C22⋊C4—41no—
64C2×C11×C22⋊C4C2×C418yes—
65C2×C11×C22⋊C4C2×C414yescomplemented
66C2×C22⋊Dic11—24no—
67C2×C22⋊Dic11—22no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—24no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—42no—
74C2×C22⋊Dic11—42no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—41no—
77C2×C22⋊Dic11—41no—
78C2×C4⋊Dic11—22no—
79C2×C4⋊Dic11—24no—
80C2×C4⋊Dic11—41no—
81C2×C4⋊Dic11—41no—
82C2×C4⋊Dic11—42no—
83C2×C4⋊Dic11—42no—
84C2×C4×Dic11—22no—
85C2×C4×Dic11—41no—
86C2×C4×Dic11—41no—
87C11×#95C2×C418yescomplemented
88C11⋊#95—24no—
89C11⋊#95—24no—
90C11⋊#95—42no—
91C11⋊#95—42no—
92C11⋊#95—42no—
93C11⋊#95—42no—
94C11⋊#95—42no—
95C11⋊#95—42no—
96#14513—111nomaximal, Sylow
97C24×C11—22no—
98C24×C11—22no—
99C24×C11—22no—
100C24×C11—22no—
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—21no—
105C24×C11—21no—
106C24×C11—22no—
107C24×C11—21no—
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—21no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11C22×C412yes—
114C24×C11C22×C412yes—
115C24×C11C2×D412yes—
116C24×C11C2×D412yes—
117C24×C11C2×Q812yes—
118C24×C11C2×Q812yes—
119C24×C11C2411yescharacteristic
120C2×D4×C11—44no—
121C2×D4×C11—44no—
122C2×D4×C11—44no—
123C2×D4×C11—44no—
124C2×D4×C11—44no—
125C2×D4×C11—44no—
126C2×D4×C11C4⋊C4116yescomplemented
127C22×C4×C11—21no—
128C22×C4×C11—21no—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—48no—
144C22×C4×C11—44no—
145C22×C4×C11—48no—
146C22×C4×C11—44no—
147C22×C4×C11—44no—
148C22×C4×C11C22×C414yes—
149C22×C4×C11C22×C414yes—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11C2×Q812yes—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—48no—
180C22×Dic11—44no—
181C22×Dic11—44no—
182C22×Dic11—48no—
183C22×Dic11—44no—
184C22×Dic11#4114yes—
185C22×Dic11#4114yes—
186C11×C22⋊C4—48no—
187C11×C22⋊C4—44no—
188C22⋊Dic11—48no—
189C22⋊Dic11—48no—
190C22⋊Dic11—48no—
191C22⋊Dic11—44no—
192C4⋊Dic11—44no—
193C4⋊Dic11—48no—
194C4×Dic11—44no—
195C2×#390—111no—
196C2×#386—111no—
197C2×#386D1111yescharacteristic
198#1442—112no—
199#1439—112no—
200#1439—112no—
201#1436—112no—
202C22⋊#95—112no—
203C22⋊#95—112no—
204C23×C11—24no—
205C23×C11—24no—
206C23×C11—22no—
207C23×C11—24no—
208C23×C11—22no—
209C23×C11—24no—
210C23×C11—22no—
211C23×C11—22no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—22no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—42no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—42no—
243C23×C11—41no—
244C23×C11—42no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11C2×C4⋊C414yes—
249C23×C11C2×C4⋊C414yes—
250C23×C11C23×C411yescharacteristic
251C23×C11C22×D411yescharacteristic
252C23×C11C22×Q811yescharacteristic
253C23×C11C2×#4112yes—
254C23×C11C2×#4112yes—
255C23×C11H(5,𝔽2)11yescharacteristic
256C23×C11H(5,𝔽2)11yescharacteristic
257C23×C11H(5,𝔽2)11yescharacteristic
258C23×C11H(5,𝔽2)11yescharacteristic
259C23×C11H(5,𝔽2)12yes—
260C23×C11H(5,𝔽2)12yes—
261D4×C11—416no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—416no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11C2×C4⋊C414yes—
284C2×Dic11—24no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—416no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11—42no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—42no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C2×Dic11—42no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C23×D4C2×D1111yescharacteristic
314C24×C4—111no—
315C24×C4C2×D1111yescharacteristic
316C22×C4⋊C4—112no—
317C22×C4⋊C4—111no—
318C22×C22⋊C4—112no—
319C22×C22⋊C4—112no—
320C22×C22⋊C4—112no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4C2×D1112yes—
323C22×C22⋊C4C2×D1111yescharacteristic
324C22×C42—111no—
325#390—224no—
326#386—224no—
327#386Dic1118yescomplemented
328C2×#95—112no—
329C2×#95—112no—
330C2×#95—112no—
331C2×#95—112no—
332C2×#95—112no—
333C2×#95—112no—
334C2×#95—112no—
335C2×#95—112no—
336C2×#95C2×D1112yes—
337C22×C11—24no—
338C22×C11—24no—
339C22×C11—28no—
340C22×C11—28no—
341C22×C11—44no—
342C22×C11—44no—
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—42no—
346C22×C11—42no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11—44no—
350C22×C11—44no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11C22×C4⋊C411yescharacteristic
360C22×C11C4×#4112yes—
361C22×C11#51811yescharacteristic
362C22×C11#51811yescharacteristic
363C22×C11#51812yes—
364C22×C11#53411yescharacteristic
365C22×C11#53411yescharacteristic
366C22×C11#53812yes—
367C22×C11#53812yes—
368C22×C11#54012yes—
369C22×C11#54012yes—
370C22×C11#54311yescharacteristic
371C22×C11#54311yescharacteristic
372C22×C11#54612yes—
373C22×C11#54612yes—
374C22×C11#55111yescharacteristic
375C22×C11#55312yes—
376C22×C11#55412yes—
377C22×C11#55412yes—
378C22×C11#55911yescharacteristic
379C22×C11#56012yes—
380C22×C11#56011yescharacteristic
381C22×C11H(3,𝔽4)11yescharacteristic
382C4×C11—24no—
383C4×C11—44no—
384C4×C11—44no—
385Dic11—44no—
386Dic11—44no—
387Dic11—82no—
388Dic11—82no—
389C25C22×D1111yescharacteristic
390C25C22×D1111yescharacteristic
391C22×D4—41no—
392C22×D4—41no—
393C22×D4—41no—
394C22×D4—41no—
395C22×D4Dic2214yes—
396C22×D4D4414yes—
397C22×D4C2×Dic1114yes—
398C23×C4—41no—
399C23×C4—41no—
400C23×C4—42no—
401C23×C4—42no—
402C23×C4—112no—
403C23×C4—112no—
404C23×C4—112no—
405C23×C4—112no—
406C23×C4—224no—
407C23×C4—222no—
408C23×C4—441no—
409C23×C4—441no—
410C23×C4—442no—
411C23×C4C2×Dic1114yescomplemented
412C23×C4C22×D1112yes—
413C23×C4C22×D1112yes—
414C23×C4C22×D1111yescharacteristic
415C2×C4⋊C4—224no—
416C2×C4⋊C4—222no—
417C2×C4⋊C4—441no—
418C2×C4⋊C4—441no—
419C2×C4⋊C4—442no—
420C2×C4⋊C4—442no—
421C2×C22⋊C4—42no—
422C2×C22⋊C4—42no—
423C2×C22⋊C4—41no—
424C2×C22⋊C4—41no—
425C2×C22⋊C4—224no—
426C2×C22⋊C4—224no—
427C2×C22⋊C4—224no—
428C2×C22⋊C4—224no—
429C2×C22⋊C4—222no—
430C2×C22⋊C4—224no—
431C2×C22⋊C4—224no—
432C2×C22⋊C4—442no—
433C2×C22⋊C4—442no—
434C2×C22⋊C4—442no—
435C2×C22⋊C4—441no—
436C2×C22⋊C4—441no—
437C2×C22⋊C4C2×Dic1118yes—
438C2×C22⋊C4C2×Dic1114yescomplemented
439C2×C42—222no—
440C2×C42—441no—
441C2×C42—441no—
442#95—224no—
443#95—224no—
444#95—442no—
445#95—442no—
446#95—442no—
447#95—442no—
448#95—442no—
449#95—442no—
450#95C2×Dic1118yescomplemented
451C2×C11—44no—
452C2×C11—44no—
453C2×C11#231511yescharacteristic
454C2×C11#233312yes—
455C2×C11#234912yes—
456C2×C11#237411yescharacteristic
457C2×C11#237511yescharacteristic
458C2×C11#268411yescharacteristic
459C2×C11#268812yes—
460C2×C11#270911yescharacteristic
461C2×C11#274811yescharacteristic
462C2×C11#278012yes—
463C2×C11#280411yescharacteristic
464C24—22no—
465C24—22no—
466C24—21no—
467C24—21no—
468C24—22no—
469C24—22no—
470C24—21no—
471C24—21no—
472C24—21no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24C2×Dic2212yes—
481C24C2×Dic2212yes—
482C24C2×D4412yes—
483C24C2×D4412yes—
484C24C22×Dic1112yes—
485C24C22×Dic1112yes—
486C24C23×D1111yescharacteristic
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4C4⋊Dic11116yescomplemented
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—44no—
515C22×C4—114no—
516C22×C4—114no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—222no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—444no—
544C22×C4—448no—
545C22×C4—448no—
546C22×C4—444no—
547C22×C4—444no—
548C22×C4C2×Dic2212yes—
549C22×C4C2×D4412yes—
550C22×C4C22×Dic1114yes—
551C22×C4C22×Dic1114yes—
552C22×C4C22×Dic1112yes—
553C4⋊C4—444no—
554C4⋊C4—448no—
555C22⋊C4—48no—
556C22⋊C4—44no—
557C22⋊C4—448no—
558C22⋊C4—448no—
559C22⋊C4—448no—
560C22⋊C4—444no—
561C42—444no—
562C11#1451311yescharacteristic, complemented, Sylow
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23C2×C4⋊Dic1114yes—
608C23C2×C4⋊Dic1114yes—
609C23C22×Dic2211yescharacteristic
610C23C22×D4411yescharacteristic
611C23#6703711yescharacteristic
612C23#6703711yescharacteristic
613C23#6703711yescharacteristic
614C23#6703711yescharacteristic
615C23#6703712yes—
616C23#6703712yes—
617C23#41×D1112yes—
618C23#41×D1112yes—
619C23C23×Dic1111yescharacteristic
620D4—416no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—416no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—224no—
648C2×C4—4416no—
649C2×C4—442no—
650C2×C4—442no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4C2×C4⋊Dic1114yes—
672C22—24no—
673C22—24no—
674C22—28no—
675C22—28no—
676C22—44no—
677C22—44no—
678C22—44no—
679C22—44no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—44no—
685C22—44no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22#1062301411yescharacteristic
695C22#1062301411yescharacteristic
696C22#1062302411yescharacteristic
697C22#1062302411yescharacteristic
698C22#1062307012yes—
699C22#1062307012yes—
700C22#1062308512yes—
701C22#1062308512yes—
702C22#1062312511yescharacteristic
703C22#1062312612yes—
704C22#1062312611yescharacteristic
705C22#1062314412yes—
706C22#1062314412yes—
707C22#1062314612yes—
708C22#1062314612yes—
709C22#1062319011yescharacteristic
710C22#1062319212yes—
711C22#1062319511yescharacteristic
712C22C22×C4⋊Dic1111yescharacteristic
713C22#1062332911yescharacteristic
714C22#1062332912yes—
715C22#1062332911yescharacteristic
716C22#41×Dic1112yes—
717C4—24no—
718C4—44no—
719C4—44no—
720C4—444no—
721C4—444no—
722C4—882no—
723C4—882no—
724C2—44no—
725C2—44no—
726C2#1307123011yescharacteristic
727C2#1307138312yes—
728C2#1307152612yes—
729C2#1307175211yescharacteristic
730C2#1307175711yescharacteristic
731C2#1307499511yescharacteristic
732C2#1307505012yes—
733C2#1307534611yescharacteristic
734C2#1307582711yescharacteristic
735C2#1307626112yes—
736C2#1307655911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#386C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC2×#386D11
hypocenterC11#14513
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. #13066873C2semidirect
4. #13066861C2semidirect
5. #13066861C2semidirect
6. #13066850C2semidirect
7. #13066839C2semidirect
8. #13066838C2semidirect
22. C11×#386C4semidirect
47. C23×C4×C11C2×C4semidirect
65. C2×C11×C22⋊C4C2×C4semidirect
87. C11×#95C2×C4semidirect
126. C2×D4×C11C4⋊C4semidirect
327. #386Dic11semidirect
411. C23×C4C2×Dic11semidirect
438. C2×C22⋊C4C2×Dic11semidirect
450. #95C2×Dic11semidirect
493. C2×D4C4⋊Dic11semidirect
562. C11#14513semidirect

Maximal subgroups

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

subgroupindex
C2×#106228342
C2×#106228332
#130668732
#130668612
#130668502
#130668392
#130668382
C2×C11×#3862
#1451311