Finite Group Databasebeta

← #14803208

Subgroups — #14803208

Order 2816.

964 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622680C211yesmaximal, characteristic, complemented
2C2×#10622679C211yesmaximal, characteristic, complemented
3#13073558C211yesmaximal, characteristic
4#13070001C211yesmaximal, characteristic, complemented
5#13069987C211yesmaximal, characteristic, complemented
6#13069850C211yesmaximal, characteristic, complemented
7#13069850C211yesmaximal, characteristic, complemented
8#13069543C211yesmaximal, characteristic, complemented
9#13069543C211yesmaximal, characteristic, complemented
10#13069543C211yesmaximal, characteristic, complemented
11#13069340C211yesmaximal, characteristic, complemented
12#13069243C211yesmaximal, characteristic, complemented
13#13069236C211yesmaximal, characteristic, complemented
14#13068444C211yesmaximal, characteristic, complemented
15C11×#2370C211yesmaximal, characteristic, complemented
16C2×C11×#125C2211yescharacteristic
17C2×#66948—21no—
18C2×#66948—21no—
19C2×#66927C2211yescharacteristic
20C2×#66927C2211yescharacteristic
21C2×#66927C2211yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C11×#389—21no—
24C11×#389C2211yescharacteristic
25C11×#389C2211yescharacteristic
26C11×#387—21no—
27C11×#387—21no—
28C4×C11×C4⋊C4—21no—
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31C4×C11×C4⋊C4C2211yescharacteristic
32C4×C11×C4⋊C4C2211yescharacteristic
33#10622680—24no—
34#10622679—24no—
35C2×#66873C2211yescharacteristic
36C2×#66873C2211yescharacteristic
37C2×#66873C2211yescharacteristic
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66873C2211yescharacteristic
47C2×#66872C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622552C2211yescharacteristic
50#10622552C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4⋊(C11⋊C8)C2211yescharacteristic
53C2×C4⋊(C11⋊C8)C2211yescharacteristic
54C2×#66867C2211yescharacteristic
55#10622284—21no—
56#10622284—21no—
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D44—21no—
62C22×D44—21no—
63C22×D44—21no—
64C22×D44—21no—
65C22×D44—21no—
66C22×D44—21no—
67C22×D44C2311yescharacteristic
68C22×D44C2311yescharacteristic
69C22×D44C2311yescharacteristic
70C22×C4×D11—21no—
71C11×#125—22no—
72C11×#125D414yescomplemented
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4D411yescharacteristic
78C2×C11×C4⋊C4D411yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C42×C11—21no—
84C2×C42×C11—21no—
85C2×C42×C11—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×C4⋊Dic11C2311yescharacteristic
95C22×C11⋊C8C2311yescharacteristic
96C22×C11⋊C8C2311yescharacteristic
97C22×C11⋊C8C2311yescharacteristic
98C22×C11⋊C8C2311yescharacteristic
99#66948—44no—
100#66948—44no—
101#66927—22no—
102#66927—22no—
103#66927—22no—
104#66927—22no—
105#66927—41no—
106#66927—41no—
107C4×D44—22no—
108C4×D44—22no—
109C11×#95—21no—
110C11×#95—21no—
111C11×#95—21no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95D411yescharacteristic
115C11×#95D411yescharacteristic
116#66873—22no—
117#66873—22no—
118#66873—22no—
119#66873—22no—
120#66873—22no—
121#66873—22no—
122#66873—22no—
123#66873—22no—
124#66873—22no—
125#66873—22no—
126#66873—41no—
127#66873—41no—
128#66872—22no—
129#66871—22no—
130C4⋊(C11⋊C8)—22no—
131C4⋊(C11⋊C8)—41no—
132C4⋊(C11⋊C8)—41no—
133#66867—22no—
134#25288—111nomaximal, Sylow
135C23×D11—21no—
136C23×D11—21no—
137C23×D11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11C2×D411yescharacteristic
143C22×C4×C11C2×D411yescharacteristic
144C22×C4×C11C2×D411yescharacteristic
145C22×C4×C11C2×D411yescharacteristic
146C22×C4×C11C2×D411yescharacteristic
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2411yescharacteristic
149C22×Dic11—21no—
150C2×D44—21no—
151C2×D44—21no—
152C2×D44—21no—
153C2×D44—21no—
154C2×D44—21no—
155C2×D44—21no—
156C2×D44—21no—
157C2×D44—21no—
158C2×D44—21no—
159C2×D44—21no—
160C2×D44—21no—
161C2×D44—21no—
162C2×D44—21no—
163C2×D44—21no—
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—42no—
168C2×D44—42no—
169C2×D44—42no—
170C2×D44—42no—
171C2×D44—42no—
172C2×D44—42no—
173C2×D44—42no—
174C2×D44—42no—
175C2×D44—42no—
176C2×D44—42no—
177C2×D44—42no—
178C2×D44—42no—
179C2×D44—81no—
180C2×D44—81no—
181C2×D44—81no—
182C2×D44—81no—
183C2×D44—81no—
184C2×D44—81no—
185C2×D44#4112yes—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—42no—
189C11×C4⋊C4—24no—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—81no—
200C11×C4⋊C4C2×D412yes—
201C11×C4⋊C4C2×D412yes—
202C11×C4⋊C4#4112yes—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—42no—
208C42×C11—81no—
209C42×C11—81no—
210C42×C11C2×D412yes—
211C42×C11#4112yes—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—42no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×#490—111no—
232C2×#478—111no—
233#2541—111no—
234#2370D1111yescharacteristic, complemented
235#2067—111no—
236#2065—111no—
237#2041—111no—
238#2041—111no—
239#1982—111no—
240#1982—111no—
241#1982—111no—
242#1940—111no—
243#1926—111no—
244#1925—111no—
245#1762—111no—
246C23×C11C22×D411yescharacteristic
247C22×D11—22no—
248C22×D11—41no—
249C22×D11—41no—
250C22×D11—41no—
251C22×D11—41no—
252C22×D11—41no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11#12112yes—
295C2×C4×C11#12112yes—
296C2×C4×C11AGL(1,ℤ/8)12yes—
297C2×C4×C11AGL(1,ℤ/8)12yes—
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C112−1+411yescharacteristic
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307D44—22no—
308D44—22no—
309D44—41no—
310D44—41no—
311D44—41no—
312D44—41no—
313D44—41no—
314D44—41no—
315D44—41no—
316D44—41no—
317D44—41no—
318D44—41no—
319D44—84no—
320D44—84no—
321D44—84no—
322D44—84no—
323D44—84no—
324D44—84no—
325C4×D11—84no—
326C11⋊C8—41no—
327C11⋊C8—41no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C2×#127—111no—
331C2×#127—111no—
332C2×#127—111no—
333C2×#125C2×D1111yescharacteristic
334C2×#121—221no—
335C2×#121—221no—
336C2×C4×D4—111no—
337#490—224no—
338#478—224no—
339C2×#107—111no—
340C2×#106—111no—
341C2×C4⋊C8—111no—
342C2×C4⋊C8—111no—
343C2×C4⋊C8—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#97—111no—
357#392—221no—
358#392—221no—
359#390—111no—
360#390—111no—
361#389—21no—
362#389C2×D1111yescharacteristic
363#389C2×D1111yescharacteristic
364#387—21no—
365#387—21no—
366C4×C4⋊C4—21no—
367C4×C4⋊C4C2×D1111yescharacteristic
368C4×C4⋊C4C2×D1111yescharacteristic
369C4×C4⋊C4C2×D1111yescharacteristic
370C4×C4⋊C4C2×D1111yescharacteristic
371#340—111no—
372#340—111no—
373#336—111no—
374#336—111no—
375C22×C11C2×#12111yescharacteristic
376C22×C11#54611yescharacteristic
377C22×C11#54811yescharacteristic
378C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
379C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C11#57611yescharacteristic
381C22×C11#57711yescharacteristic
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—81no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—41no—
411C4×C11—41no—
412C4×C11—81no—
413C4×C11#52911yescharacteristic
414C4×C11#54211yescharacteristic
415C4×C11#54811yescharacteristic
416C4×C11#55011yescharacteristic
417Dic11—81no—
418C22×D4—111no—
419C22×D4—111no—
420C22×D4—111no—
421C22×D4—221no—
422C22×D4—221no—
423C22×D4—221no—
424C22×D4—221no—
425C22×D4—221no—
426C22×D4—221no—
427C23×C4—221no—
428C22×C8—111no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8—111no—
432#127—222no—
433#127—222no—
434#127—222no—
435#127—222no—
436#127—441no—
437#127—441no—
438#125—22no—
439#125D4414yescomplemented
440#121—444no—
441#121—444no—
442C4×D4—222no—
443C4×D4—222no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4C22⋊D1111yescharacteristic
450C2×C4⋊C4C22⋊D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42—21no—
463C2×C42C22×D1111yescharacteristic
464C2×C42C22×D1111yescharacteristic
465C2×C42C22×D1111yescharacteristic
466#107—222no—
467#106—222no—
468C4⋊C8—222no—
469C4⋊C8—441no—
470C4⋊C8—441no—
471#102—222no—
472#102—222no—
473#102—222no—
474#102—222no—
475#102—222no—
476#102—222no—
477#102—222no—
478#102—222no—
479#102—222no—
480#102—222no—
481#102—441no—
482#102—441no—
483#97—222no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95C22⋊D1111yescharacteristic
490#95C22⋊D1111yescharacteristic
491C2×C11#242611yescharacteristic
492C2×C11#303811yescharacteristic
493C2×C11#304511yescharacteristic
494C2×C11#331011yescharacteristic
495C2×C11#331811yescharacteristic
496C2×C11#336611yescharacteristic
497C2×C11#336811yescharacteristic
498D11—82no—
499D11—161no—
500D11—161no—
501C24—221no—
502C24—221no—
503C24—221no—
504C2×D4—112no—
505C2×D4—221no—
506C2×D4—221no—
507C2×D4—221no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—442no—
523C2×D4—442no—
524C2×D4—442no—
525C2×D4—442no—
526C2×D4—442no—
527C2×D4—442no—
528C2×D4—442no—
529C2×D4—442no—
530C2×D4—442no—
531C2×D4—442no—
532C2×D4—442no—
533C2×D4—442no—
534C2×D4—881no—
535C2×D4—881no—
536C2×D4—881no—
537C2×D4—881no—
538C2×D4—881no—
539C2×D4—881no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—221no—
545C22×C4—442no—
546C22×C4—442no—
547C22×C4—442no—
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—81no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4C2×D4412yes—
581C4⋊C4C2×D4412yes—
582C4⋊C4#434312yes—
583C22⋊C4—442no—
584C22⋊C4—442no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—42no—
593C42—81no—
594C42—81no—
595C42C2×D4412yes—
596C42#433912yes—
597C11#2528811yescharacteristic, complemented, Sylow
598C23—222no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23—441no—
608C23—441no—
609C23—441no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23C22×C22⋊D1111yescharacteristic
620D4—222no—
621D4—222no—
622D4—441no—
623D4—441no—
624D4—441no—
625D4—441no—
626D4—441no—
627D4—441no—
628D4—441no—
629D4—441no—
630D4—441no—
631D4—441no—
632D4—884no—
633D4—884no—
634D4—884no—
635D4—884no—
636D4—884no—
637D4—884no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—884no—
668C2×C4#6698312yes—
669C2×C4#6698312yes—
670C2×C4#6700212yes—
671C2×C4#6700212yes—
672C2×C4C22×D4411yescharacteristic
673C2×C4C2×#433911yescharacteristic
674C2×C4C2×#434311yescharacteristic
675C2×C4#6704011yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#6704211yescharacteristic
678C8—441no—
679C8—441no—
680C8—441no—
681C8—441no—
682C22—442no—
683C22—442no—
684C22—442no—
685C22—881no—
686C22—881no—
687C22—881no—
688C22—881no—
689C22—881no—
690C22—881no—
691C22—881no—
692C22—881no—
693C22—881no—
694C22—881no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22—881no—
703C22C2×#6698311yescharacteristic
704C22#1062334811yescharacteristic
705C22C2×#6700211yescharacteristic
706C22C2×#6700211yescharacteristic
707C22#1062336011yescharacteristic
708C22#1062336611yescharacteristic
709C22#1062336811yescharacteristic
710C4—22no—
711C4—22no—
712C4—22no—
713C4—22no—
714C4—41no—
715C4—42no—
716C4—42no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—881no—
721C4#1062310711yescharacteristic
722C4#1062310811yescharacteristic
723C4#1062311111yescharacteristic
724C4#1062311311yescharacteristic
725C2—882no—
726C2—1761no—
727C2—1761no—
728C2#1307217611yescharacteristic
729C2#1307809611yescharacteristic
730C2#1307815511yescharacteristic
731C2#1308063111yescharacteristic
732C2#1308075111yescharacteristic
733C2#1308132311yescharacteristic
734C2#1308134511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2370C2
socleC23×C11C22×D4
prime radical#13073558C2
hypercenter#2370D11
hypocenterC11#25288
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2370

Complements

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

NH ≅ G/Ntype
1. C2×#10622680C2semidirect
2. C2×#10622679C2semidirect
4. #13070001C2semidirect
5. #13069987C2semidirect
6. #13069850C2semidirect
7. #13069850C2semidirect
8. #13069543C2semidirect
9. #13069543C2semidirect
10. #13069543C2semidirect
11. #13069340C2semidirect
12. #13069243C2semidirect
13. #13069236C2semidirect
14. #13068444C2semidirect
15. C11×#2370C2semidirect
72. C11×#125D4semidirect
234. #2370D11semidirect
439. #125D44semidirect
597. C11#25288semidirect

Maximal subgroups

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

subgroupindex
C2×#106226802
C2×#106226792
#130735582
#130700012
#130699872
#130698502
#130695432
#130693402
#130692432
#130692362
#130684442
C11×#23702
#2528811