Finite Group Databasebeta

← #14813737

Subgroups — #14813737

Order 2816.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622397C211yesmaximal, characteristic, complemented
2C2×#10622608C211yesmaximal, characteristic, complemented
3#13072057C211yesmaximal, characteristic
4#13071566C211yesmaximal, characteristic, complemented
5#13070142C211yesmaximal, characteristic, complemented
6#13070091C211yesmaximal, characteristic, complemented
7#13070048C211yesmaximal, characteristic, complemented
8#13069796C211yesmaximal, characteristic, complemented
9#13069246C211yesmaximal, characteristic, complemented
10#13069192C211yesmaximal, characteristic, complemented
11#13069055C211yesmaximal, characteristic, complemented
12#13068911C211yesmaximal, characteristic, complemented
13#13068818C211yesmaximal, characteristic, complemented
14#13068806C211yesmaximal, characteristic, complemented
15C11×#1875C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#66992—21no—
19C2×#66991C2211yescharacteristic
20C2×C4×C22⋊D11C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C2×#66945C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×C22⋊C8C2211yescharacteristic
27#10622834C2211yescharacteristic
28#10622833—21no—
29C2×#66896C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31#10622825C2211yescharacteristic
32C2×(C2×D11)⋊C8C2211yescharacteristic
33C2×(C2×D11)⋊C8C2211yescharacteristic
34C2×#66882C2211yescharacteristic
35C2×#66882C2211yescharacteristic
36#10622608—24no—
37#10622600C2211yescharacteristic
38#10622600C2211yescharacteristic
39#10622589C2211yescharacteristic
40C4⋊C4×Dic11C2211yescharacteristic
41#10622586C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622574—21no—
47#10622570—21no—
48#10622561—21no—
49#10622557—21no—
50#10622553—21no—
51C4×Dic11⋊C4—21no—
52#10622397—24no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11D411yescharacteristic
66C23×Dic11—21no—
67C22×C4×D11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C11×#121—22no—
71C11×#121—22no—
72C11×#117—22no—
73C11×#117—41no—
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C11×C22⋊C4—21no—
79C2×C42×C11—21no—
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11D411yescharacteristic
85#66992—44no—
86#66991—22no—
87#66991—41no—
88C4×C22⋊D11—22no—
89C4×C22⋊D11—22no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4D411yescharacteristic
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—41no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4D411yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11C2311yescharacteristic
108C2×#4318—22no—
109C2×#4318—22no—
110C2×#4318—22no—
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113#66945—22no—
114#66945—41no—
115C11×#102—22no—
116C11×#102—41no—
117C11×C22⋊C8—22no—
118#66896—22no—
119#66896—22no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125(C2×D11)⋊C8—22no—
126(C2×D11)⋊C8—22no—
127#66882—22no—
128#66882—41no—
129#66872—22no—
130#66872D414yescomplemented
131#66871—22no—
132#66871—22no—
133#26157—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C23×D11C2×D411yescharacteristic
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—42no—
144C2×D4×C11—42no—
145C2×D4×C11—42no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11#4112yes—
155C22×C4×C11#4112yes—
156C22×C4×C11C2411yescharacteristic
157C2×C22⋊D11—22no—
158C2×C22⋊D11—22no—
159C2×C22⋊D11—41no—
160C2×C22⋊D11—42no—
161C2×C22⋊D11—42no—
162C2×C22⋊D11—81no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11—81no—
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4C2×D412yes—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C42×C11—42no—
194C22⋊Dic11—22no—
195C22⋊Dic11—42no—
196C22⋊Dic11—42no—
197C22⋊Dic11—81no—
198C22⋊Dic11—81no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202(C2×D11)⋊C4—81no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11C2×D412yes—
212Dic11⋊C4—22no—
213Dic11⋊C4—42no—
214Dic11⋊C4—42no—
215Dic11⋊C4—81no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—42no—
219C4×Dic11—42no—
220#4318—28no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8C2×D412yes—
226C2×C11⋊C8#4112yes—
227C2×#482—111no—
228C2×#428—111no—
229#2416—111no—
230#2354—111no—
231#2093—111no—
232#2083—111no—
233#2076—111no—
234#2033—111no—
235#1926—111no—
236#1919—111no—
237#1895—111no—
238#1875D1111yescharacteristic, complemented
239#1870—111no—
240#1854—111no—
241#1852—111no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11#12312yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—41no—
268D4×C11—84no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11#12312yes—
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11C2×#4111yescharacteristic
289C2×C4×C11H(5,𝔽2)11yescharacteristic
290C2×C4×C112−1+411yescharacteristic
291C22⋊D11—44no—
292C22⋊D11—84no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—22no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—84no—
314C2×Dic11AGL(1,ℤ/8)12yes—
315C4×D11—41no—
316C4×D11—41no—
317C4×D11—41no—
318C4×D11—41no—
319C8×C11—41no—
320C8×C11—41no—
321C11⋊C8—22no—
322C11⋊C8—22no—
323C22×M16—111no—
324C2×#121—111no—
325C2×#121—221no—
326C2×#121C2×D1111yescharacteristic
327C2×C4×D4—111no—
328C2×#117—111no—
329C2×#117C2×D1111yescharacteristic
330C22×C4⋊C4—111no—
331#482—224no—
332#428—224no—
333C2×#107—111no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#107—111no—
337C2×#106—111no—
338C2×#106—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102C2×D1111yescharacteristic
342C2×#102C2×D1111yescharacteristic
343C2×C22⋊C8—111no—
344C2×C22⋊C8—111no—
345C2×C22⋊C8C2×D1111yescharacteristic
346#396—221no—
347#394—221no—
348#390—111no—
349#390—221no—
350#389—111no—
351#388—221no—
352#388—221no—
353#386—221no—
354#384—111no—
355#380—111no—
356#380—111no—
357#380—111no—
358C4×C4⋊C4—111no—
359C4×C4⋊C4—221no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340C2×D1111yescharacteristic
365#340C2×D1111yescharacteristic
366#336—111no—
367#336—111no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11C2×#12311yescharacteristic
383C22×C11D4211yescharacteristic
384C22×C11#54711yescharacteristic
385C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
386C22×C11#57511yescharacteristic
387C22×C11#57611yescharacteristic
388C22×C11#57811yescharacteristic
389C2×D11—41no—
390C2×D11—41no—
391C2×D11—41no—
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C2×D11—41no—
396C4×C11—22no—
397C4×C11—42no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11#52511yescharacteristic
401C4×C11#53911yescharacteristic
402C4×C11#54811yescharacteristic
403C4×C11#55311yescharacteristic
404Dic11—22no—
405Dic11—41no—
406Dic11—41no—
407Dic11—42no—
408Dic11—81no—
409Dic11—81no—
410Dic11—81no—
411C22×D4—21no—
412C22×D4—111no—
413C22×D4—221no—
414C22×D4C22×D1111yescharacteristic
415C23×C4—111no—
416C23×C4—221no—
417C23×C4C22×D1111yescharacteristic
418C2×M16—222no—
419C2×M16—222no—
420C2×M16—222no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8C22×D1111yescharacteristic
424C22×C8C22×D1111yescharacteristic
425#121—22no—
426#121—22no—
427#121—222no—
428#121—441no—
429#121—444no—
430C4×D4—222no—
431C4×D4—222no—
432#117—22no—
433#117—41no—
434#117—222no—
435#117—441no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—441no—
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—111no—
453C2×C22⋊C4—111no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C42—21no—
462C2×C42—111no—
463C2×C42—221no—
464C2×C42—221no—
465#107—222no—
466#107—222no—
467#107—222no—
468#107—441no—
469#106—114no—
470#106—222no—
471#102—22no—
472#102—41no—
473#102—222no—
474#102—222no—
475C22⋊C8—22no—
476C22⋊C8—222no—
477C22⋊C8—222no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483C2×C11—42no—
484C2×C11—161no—
485C2×C11#244311yescharacteristic
486C2×C11#309411yescharacteristic
487C2×C11#309811yescharacteristic
488C2×C11#326911yescharacteristic
489C2×C11#327411yescharacteristic
490C2×C11#334711yescharacteristic
491C2×C11#335311yescharacteristic
492D11—81no—
493C24—21no—
494C24—111no—
495C24D4×D1111yescharacteristic
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—222no—
506C2×D4—222no—
507C2×D4—441no—
508C2×D4—442no—
509C2×D4—442no—
510C2×D4—881no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—111no—
519C22×C4—111no—
520C22×C4—111no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—881no—
534C22×C4#433912yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4#434112yes—
537C22×C4C23×D1111yescharacteristic
538M16—228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—112no—
546C2×C8—112no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—112no—
557C4⋊C4—222no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C4⋊C4—442no—
568C4⋊C4—881no—
569C4⋊C4D4×D1112yes—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—222no—
573C22⋊C4—222no—
574C22⋊C4—442no—
575C22⋊C4—442no—
576C22⋊C4—442no—
577C22⋊C4—442no—
578C22⋊C4—881no—
579C22⋊C4—881no—
580C22⋊C4—881no—
581C42—42no—
582C42—221no—
583C42—221no—
584C42—442no—
585C42—442no—
586C11#2615711yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—221no—
601C23—221no—
602C23—221no—
603C23—221no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23#6693612yes—
608C23C2×D4×D1111yescharacteristic
609D4—41no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—84no—
614D4—444no—
615D4—884no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
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—112no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—221no—
638C2×C4—221no—
639C2×C4—222no—
640C2×C4—221no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—884no—
657C2×C4#6693612yes—
658C2×C4C2×#433911yescharacteristic
659C2×C4C2×D4×D1111yescharacteristic
660C2×C4C2×#434111yescharacteristic
661C2×C4#6703711yescharacteristic
662C2×C4#41×D1111yescharacteristic
663C2×C4#6704311yescharacteristic
664C8—41no—
665C8—41no—
666C8—222no—
667C8—222no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—441no—
683C22—441no—
684C22—441no—
685C22—441no—
686C22—441no—
687C22—441no—
688C22—441no—
689C22C2×#6693611yescharacteristic
690C22#1062312111yescharacteristic
691C22#1062318611yescharacteristic
692C22#1062330011yescharacteristic
693C22#1062330211yescharacteristic
694C22D11×AGL(1,ℤ/8)11yescharacteristic
695C22#1062330411yescharacteristic
696C4—22no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—222no—
701C4—441no—
702C4—442no—
703C4—441no—
704C4—881no—
705C4—881no—
706C4—881no—
707C4#1062307811yescharacteristic
708C4#1062309511yescharacteristic
709C4#1062312911yescharacteristic
710C4#1062313211yescharacteristic
711C2—42no—
712C2—161no—
713C2—881no—
714C2#1307235311yescharacteristic
715C2#1307855411yescharacteristic
716C2#1307859211yescharacteristic
717C2#1308016911yescharacteristic
718C2#1308022911yescharacteristic
719C2#1308110911yescharacteristic
720C2#1308119811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1875C2
socleC23×C11C22×D4
prime radical#13072057C2
hypercenter#1875D11
hypocenterC11#26157
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
1. C2×#10622397C2semidirect
2. C2×#10622608C2semidirect
4. #13071566C2semidirect
5. #13070142C2semidirect
6. #13070091C2semidirect
7. #13070048C2semidirect
8. #13069796C2semidirect
9. #13069246C2semidirect
10. #13069192C2semidirect
11. #13069055C2semidirect
12. #13068911C2semidirect
13. #13068818C2semidirect
14. #13068806C2semidirect
15. C11×#1875C2semidirect
130. #66872D4semidirect
238. #1875D11semidirect
586. C11#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#106223972
C2×#106226082
#130720572
#130715662
#130701422
#130700912
#130700482
#130697962
#130692462
#130691922
#130690552
#130689112
#130688182
#130688062
C11×#18752
#2615711