Finite Group Databasebeta

← #14681168

Subgroups — #14681168

Order 2816.

2854 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622564C212yesmaximal, complemented
2C2×#10622860C212yesmaximal
3#13066865C212yesmaximal, complemented
4#13066861C212yesmaximal, complemented
5#13066861C212yesmaximal, complemented
6#13066853C211yesmaximal, characteristic, complemented
7#13066853C212yesmaximal, complemented
8#13066853C211yesmaximal, characteristic, complemented
9C2×C11×#379C211yesmaximal, characteristic
10C26×C11C2211yescharacteristic
11C22×C11×C22⋊C4C2212yes—
12C22×C11×C22⋊C4C2211yescharacteristic
13C22×C11×C22⋊C4C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C22×C22⋊Dic11C2212yes—
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2212yes—
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2212yes—
21C22×C4⋊Dic11C2212yescomplemented
22C22×C4×Dic11C2211yescharacteristic, complemented
23C22×C4×Dic11C2211yescharacteristic, complemented
24C11×#379C418yescomplemented
25#10622860—28no—
26C2×C11⋊#95C2212yescomplemented
27C2×C11⋊#95C2212yescomplemented
28C2×C11⋊#95C2212yescomplemented
29C2×C11⋊#95C2211yescharacteristic, complemented
30C2×C11⋊#95C2212yescomplemented
31C2×C11⋊#95C2211yescharacteristic, complemented
32C2×C11⋊#95C2212yescomplemented
33#10622564—28no—
34C25×C11—24no—
35C25×C11—24no—
36C25×C11—24no—
37C25×C11—42no—
38C25×C11—42no—
39C25×C11—41no—
40C25×C11—41no—
41C25×C11—42no—
42C25×C11C2×C414yes—
43C25×C11C2312yes—
44C25×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×C4×C11C2312yes—
48C23×Dic11C2312yes—
49C23×Dic11C2312yes—
50C23×Dic11C2312yes—
51C23×Dic11C2312yes—
52C2×C11×C22⋊C4—24no—
53C2×C11×C22⋊C4—24no—
54C2×C11×C22⋊C4—42no—
55C2×C11×C22⋊C4—41no—
56C2×C11×C22⋊C4—41no—
57C2×C11×C22⋊C4—42no—
58C2×C11×C22⋊C4—42no—
59C2×C11×C22⋊C4C2×C418yes—
60C2×C11×C22⋊C4C2×C414yes—
61C2×C11×C22⋊C4C2×C414yes—
62C2×C11×C22⋊C4C2×C418yes—
63C2×C22⋊Dic11—24no—
64C2×C22⋊Dic11—24no—
65C2×C22⋊Dic11—24no—
66C2×C22⋊Dic11—24no—
67C2×C22⋊Dic11—24no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—24no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—42no—
73C2×C22⋊Dic11—42no—
74C2×C22⋊Dic11—42no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—42no—
77C2×C22⋊Dic11—42no—
78C2×C22⋊Dic11—42no—
79C2×C22⋊Dic11—42no—
80C2×C22⋊Dic11D418yes—
81C2×C4⋊Dic11—24no—
82C2×C4⋊Dic11—42no—
83C2×C4⋊Dic11—42no—
84C2×C4×Dic11—24no—
85C2×C4×Dic11—41no—
86C2×C4×Dic11—42no—
87C2×C4×Dic11—41no—
88C11⋊#95—24no—
89C11⋊#95—24no—
90C11⋊#95—42no—
91C11⋊#95—42no—
92C11⋊#95—41no—
93C11⋊#95—41no—
94C11⋊#95—42no—
95#14365—111nomaximal, Sylow
96C24×C11—22no—
97C24×C11—22no—
98C24×C11—22no—
99C24×C11—22no—
100C24×C11—22no—
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—28no—
116C24×C11—216no—
117C24×C11—44no—
118C24×C11—48no—
119C24×C11—44no—
120C24×C11—44no—
121C24×C11—48no—
122C24×C11—48no—
123C24×C11—48no—
124C24×C11—48no—
125C24×C11—48no—
126C24×C11—44no—
127C24×C11—48no—
128C24×C11—48no—
129C24×C11—48no—
130C24×C11—48no—
131C24×C11—48no—
132C24×C11—48no—
133C24×C11—48no—
134C24×C11—44no—
135C24×C11—44no—
136C24×C11C22×C412yes—
137C24×C11C22×C414yes—
138C24×C11C2×D414yes—
139C24×C11#4114yes—
140C24×C11#4114yes—
141C24×C11C2411yescharacteristic
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—21no—
149C22×C4×C11—22no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—22no—
153C22×C4×C11—21no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11C22×C412yes—
157C22×C4×C11C22×C414yes—
158C22×C4×C11C22×C412yes—
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—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11C2×D414yes—
186C22×Dic11C2×D414yes—
187C11×C22⋊C4—216no—
188C11×C22⋊C4—44no—
189C11×C22⋊C4—48no—
190C11×C22⋊C4—44no—
191C22⋊Dic11—48no—
192C22⋊Dic11—48no—
193C22⋊Dic11—48no—
194C22⋊Dic11—48no—
195C22⋊Dic11—48no—
196C22⋊Dic11—48no—
197C4⋊Dic11—48no—
198C4×Dic11—44no—
199C4×Dic11—44no—
200C2×#388—112no—
201C2×#379—112no—
202C2×#379D1111yescharacteristic
203#1440—112no—
204#1439—112no—
205#1439—112no—
206#1437—112no—
207#1437—111no—
208#1437—111no—
209C23×C11—24no—
210C23×C11—24no—
211C23×C11—24no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
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—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—432no—
238C23×C11—416no—
239C23×C11—416no—
240C23×C11—432no—
241C23×C11—416no—
242C23×C11—432no—
243C23×C11—432no—
244C23×C11—432no—
245C23×C11—432no—
246C23×C11—42no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11—42no—
258C23×C11—41no—
259C23×C11—42no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—41no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—42no—
268C23×C11—42no—
269C23×C11—41no—
270C23×C11—42no—
271C23×C11—41no—
272C23×C11#11714yes—
273C23×C11C4×D418yes—
274C23×C11C23×C411yescharacteristic
275C23×C11C22×D412yes—
276C23×C11C2×#4112yes—
277C23×C11C2×#4112yes—
278C23×C11H(5,𝔽2)12yes—
279C23×C11H(5,𝔽2)12yes—
280C23×C11H(5,𝔽2)12yes—
281C23×C11H(5,𝔽2)11yescharacteristic
282C23×C11H(5,𝔽2)11yescharacteristic
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11—41no—
295C2×C4×C11—42no—
296C2×C4×C11—41no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C26C2×D1111yescharacteristic
329C22×C4⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—112no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4C2×D1112yes—
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4C2×D1112yes—
339C22×C22⋊C4C2×D1111yescharacteristic
340C22×C42—111no—
341C22×C42—111no—
342#388—228no—
343#379—228no—
344#379Dic1118yescomplemented
345C2×#95—112no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—111no—
349C2×#95—112no—
350C2×#95—111no—
351C2×#95—112no—
352C22×C11—24no—
353C22×C11—28no—
354C22×C11—28no—
355C22×C11—28no—
356C22×C11—28no—
357C22×C11—464no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—44no—
369C22×C11—44no—
370C22×C11—44no—
371C22×C11—44no—
372C22×C11—44no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11C2×#11711yescharacteristic
378C22×C11C2×C4×D412yes—
379C22×C11#51811yescharacteristic
380C22×C11#51811yescharacteristic
381C22×C11#51812yes—
382C22×C11#53412yes—
383C22×C11#53512yes—
384C22×C11#53812yes—
385C22×C11#53812yes—
386C22×C11#53812yes—
387C22×C11#53812yes—
388C22×C11D4211yescharacteristic
389C22×C11#54612yes—
390C22×C11#54612yes—
391C22×C11#54612yes—
392C22×C11#55112yes—
393C22×C11#55112yes—
394C22×C11#55111yescharacteristic
395C22×C11#56012yes—
396C22×C11#56011yescharacteristic
397C22×C11H(3,𝔽4)11yescharacteristic
398C4×C11—44no—
399C4×C11—42no—
400C4×C11—42no—
401Dic11—44no—
402Dic11—44no—
403Dic11—82no—
404Dic11—82no—
405C25—24no—
406C25—24no—
407C25—24no—
408C25—42no—
409C25—42no—
410C25—41no—
411C25—41no—
412C25—42no—
413C25C2×Dic1114yes—
414C25C22×D1111yescharacteristic
415C25C22×D1112yes—
416C23×C4—112no—
417C23×C4—112no—
418C23×C4—112no—
419C23×C4—112no—
420C23×C4C22×D1112yes—
421C23×C4C22×D1111yescharacteristic
422C23×C4C22×D1111yescharacteristic
423C2×C4⋊C4—224no—
424C2×C4⋊C4—442no—
425C2×C4⋊C4—442no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—42no—
429C2×C22⋊C4—41no—
430C2×C22⋊C4—41no—
431C2×C22⋊C4—42no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—224no—
435C2×C22⋊C4—224no—
436C2×C22⋊C4—224no—
437C2×C22⋊C4—224no—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—442no—
444C2×C22⋊C4—442no—
445C2×C22⋊C4—442no—
446C2×C22⋊C4—442no—
447C2×C22⋊C4—442no—
448C2×C22⋊C4—442no—
449C2×C22⋊C4—442no—
450C2×C22⋊C4—442no—
451C2×C22⋊C4C2×Dic1118yes—
452C2×C22⋊C4C2×Dic1114yes—
453C2×C22⋊C4C2×Dic1114yes—
454C2×C22⋊C4C2×Dic1118yes—
455C2×C42—224no—
456C2×C42—441no—
457C2×C42—442no—
458C2×C42—441no—
459#95—224no—
460#95—224no—
461#95—442no—
462#95—442no—
463#95—441no—
464#95—441no—
465#95—442no—
466C2×C11—44no—
467C2×C11—48no—
468C2×C11#231211yescharacteristic
469C2×C11#232112yes—
470C2×C11#234212yes—
471C2×C11#235811yescharacteristic
472C2×C11#237511yescharacteristic
473C2×C11#267812yes—
474C2×C11#268412yes—
475C2×C11#268512yes—
476C2×C11#273512yes—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—21no—
486C24—22no—
487C24—21no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—28no—
497C24—216no—
498C24—48no—
499C24—44no—
500C24—44no—
501C24—48no—
502C24—48no—
503C24—48no—
504C24—48no—
505C24—44no—
506C24—44no—
507C24—48no—
508C24—48no—
509C24—48no—
510C24—48no—
511C24—48no—
512C24—48no—
513C24—48no—
514C24—44no—
515C24—48no—
516C24—44no—
517C24#433914yes—
518C24D4×D1114yes—
519C24#434114yes—
520C24C22×Dic1112yes—
521C24C22×Dic1114yes—
522C24C23×D1111yescharacteristic
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—114no—
538C22×C4—114no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4C22×Dic1112yes—
566C22×C4C22×Dic1114yes—
567C22×C4C22×Dic1112yes—
568C4⋊C4—448no—
569C22⋊C4—216no—
570C22⋊C4—48no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—448no—
574C22⋊C4—448no—
575C22⋊C4—448no—
576C22⋊C4—448no—
577C22⋊C4—448no—
578C22⋊C4—448no—
579C42—444no—
580C42—444no—
581C11#1436511yescharacteristic, complemented, Sylow
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—432no—
611C23—416no—
612C23—416no—
613C23—432no—
614C23—432no—
615C23—432no—
616C23—432no—
617C23—416no—
618C23—432no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—42no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—41no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—41no—
644C23—42no—
645C23#6697914yes—
646C23D4×Dic1118yes—
647C23C2×#433912yes—
648C23C2×D4×D1112yes—
649C23C2×#434112yes—
650C23#6703712yes—
651C23#6703712yes—
652C23#6703711yescharacteristic
653C23#6703712yes—
654C23#6703711yescharacteristic
655C23C23×Dic1111yescharacteristic
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—442no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4—442no—
701C22—28no—
702C22—28no—
703C22—24no—
704C22—28no—
705C22—28no—
706C22—464no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—42no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—42no—
726C22#1062302112yes—
727C22#1062302112yes—
728C22#1062302512yes—
729C22#1062302512yes—
730C22#1062302612yes—
731C22#1062302612yes—
732C22#1062311811yescharacteristic
733C22#1062312012yes—
734C22#1062312111yescharacteristic
735C22#1062312212yes—
736C22#1062312312yes—
737C22#1062312412yes—
738C22#1062312412yes—
739C22#1062312511yescharacteristic
740C22#1062312612yes—
741C22#1062312611yescharacteristic
742C22C2×#6697911yescharacteristic
743C22C2×D4×Dic1112yes—
744C22#1062332912yes—
745C22#1062332911yescharacteristic
746C22#1062332911yescharacteristic
747C4—42no—
748C4—44no—
749C4—42no—
750C4—444no—
751C4—444no—
752C4—882no—
753C4—882no—
754C2—44no—
755C2—48no—
756C2#1307121411yescharacteristic
757C2#1307127712yes—
758C2#1307146512yes—
759C2#1307160011yescharacteristic
760C2#1307175711yescharacteristic
761C2#1307494512yes—
762C2#1307499612yes—
763C2#1307501112yes—
764C2#1307565312yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#379C2
socle, cosocleC24×C11C24
prime radicalC26×C11C22
hypercenterC2×#379D11
hypocenterC11#14365
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
1. C2×#10622564C2semidirect
3. #13066865C2semidirect
4. #13066861C2semidirect
5. #13066861C2semidirect
6. #13066853C2semidirect
7. #13066853C2semidirect
8. #13066853C2semidirect
21. C22×C4⋊Dic11C22semidirect
22. C22×C4×Dic11C22semidirect
23. C22×C4×Dic11C22semidirect
24. C11×#379C4semidirect
26. C2×C11⋊#95C22semidirect
27. C2×C11⋊#95C22semidirect
28. C2×C11⋊#95C22semidirect
29. C2×C11⋊#95C22semidirect
30. C2×C11⋊#95C22semidirect
31. C2×C11⋊#95C22semidirect
32. C2×C11⋊#95C22semidirect
344. #379Dic11semidirect
581. C11#14365semidirect

Maximal subgroups

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

subgroupindex
C2×#106225642
C2×#106228602
#130668652
#130668612
#130668532
C2×C11×#3792
#1436511