Finite Group Databasebeta

← #14813714

Subgroups — #14813714

Order 2816.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622616C211yesmaximal, characteristic, complemented
2C2×#10622577C211yesmaximal, characteristic, complemented
3#13072034C211yesmaximal, characteristic
4#13070140C211yesmaximal, characteristic, complemented
5#13070098C211yesmaximal, characteristic, complemented
6#13070053C211yesmaximal, characteristic, complemented
7#13069798C211yesmaximal, characteristic, complemented
8#13069243C211yesmaximal, characteristic, complemented
9#13069187C211yesmaximal, characteristic, complemented
10#13069052C211yesmaximal, characteristic, complemented
11#13068933C211yesmaximal, characteristic, complemented
12#13068914C211yesmaximal, characteristic, complemented
13#13068815C211yesmaximal, characteristic, complemented
14#13068813C211yesmaximal, characteristic, complemented
15C11×#2352C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×#66983C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C11×#388—21no—
24C11×#387—21no—
25C11×#386—21no—
26C11×#382C2211yescharacteristic
27C11×#380C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C22⋊C4—21no—
31#10622836—21no—
32#10622825C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622616—24no—
37#10622603—21no—
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42#10622577—24no—
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622572—21no—
50#10622570—21no—
51#10622552C2211yescharacteristic
52#10622541C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11D411yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×C22⋊D11—21no—
67C22×D44C2311yescharacteristic
68C4×D4×C11—22no—
69C4×D4×C11—22no—
70C11×#117—22no—
71C11×#117—41no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—41no—
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C42×C11—21no—
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90#66983—22no—
91#66983—22no—
92#66983—22no—
93#66983—41no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98#66979—22no—
99#66979—41no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×Dic11⋊C4—21no—
104C2×C4×Dic11—21no—
105C2×#4318—22no—
106C2×#4318—22no—
107C2×#4318—22no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C22⋊(C11⋊C8)—22no—
120C22⋊(C11⋊C8)—22no—
121C22⋊(C11⋊C8)—22no—
122#66873—22no—
123#66873—22no—
124#66873—22no—
125#66873—41no—
126#66872—22no—
127#66872—22no—
128#66872—22no—
129#66871—22no—
130#66871—41no—
131#66871D414yescomplemented
132#26156—111nomaximal, Sylow
133C24×C11C2×D411yescharacteristic
134C24×C11C2×D411yescharacteristic
135C23×D11—21no—
136C2×D4×C11—22no—
137C2×D4×C11—41no—
138C2×D4×C11—41no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
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×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—81no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11#4112yes—
161C22×C4×C11#4112yes—
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C2×C22⋊D11—81no—
167C2×C22⋊D11—81no—
168C2×C22⋊D11—81no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4C2×D412yes—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—42no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—81no—
193C42×C11—21no—
194C42×C11—21no—
195C42×C11—42no—
196C42×C11—81no—
197C22⋊Dic11—42no—
198C22⋊Dic11—81no—
199(C2×D11)⋊C4—42no—
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⋊Dic11C2×D412yes—
209Dic11⋊C4—81no—
210C4×Dic11—42no—
211#4318—28no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8C2×D412yes—
223C2×C11⋊C8#4112yes—
224C2×#482—111no—
225C2×#428—111no—
226#2414—111no—
227#2352D1111yescharacteristic, complemented
228#2092—111no—
229#2085—111no—
230#2077—111no—
231#2033—111no—
232#1926—111no—
233#1918—111no—
234#1895—111no—
235#1874—111no—
236#1870—111no—
237#1854—111no—
238#1854—111no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11#12312yes—
253C23×C11C22×D411yescharacteristic
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261D4×C11—44no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
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—41no—
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—84no—
294C2×C4×C11#12312yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C112−1+411yescharacteristic
301C22⋊D11—84no—
302C22⋊D11—84no—
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312D44—41no—
313D44—41no—
314D44—41no—
315D44—41no—
316C11⋊C8—22no—
317C11⋊C8—22no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C22×M16—111no—
321C2×#121—111no—
322C2×#121—111no—
323C2×C4×D4C2×D1111yescharacteristic
324C2×#117—111no—
325C2×#117C2×D1111yescharacteristic
326C22×C4⋊C4C2×D1111yescharacteristic
327#482—224no—
328#428—224no—
329C2×#107—111no—
330C2×#107—111no—
331C2×#107—111no—
332C2×#106—111no—
333C2×#106—111no—
334C2×#106—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×C22⋊C8—111no—
340C2×C22⋊C8—111no—
341C2×C22⋊C8—111no—
342#394—221no—
343#392—221no—
344#390—111no—
345#390—221no—
346#389—111no—
347#388—21no—
348#388—221no—
349#387—21no—
350#386—21no—
351#382C2×D1111yescharacteristic
352#380—111no—
353#380C2×D1111yescharacteristic
354#380C2×D1111yescharacteristic
355C4×C4⋊C4C2×D1111yescharacteristic
356C4×C22⋊C4—21no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#336—111no—
364#336—111no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11C2×#12311yescharacteristic
380C22×C11D4211yescharacteristic
381C22×C11#54711yescharacteristic
382C22×C11#57511yescharacteristic
383C22×C11#57511yescharacteristic
384C22×C11#57611yescharacteristic
385C22×C11#57711yescharacteristic
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C4×C11—22no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11—42no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11#52511yescharacteristic
402C4×C11#53911yescharacteristic
403C4×C11#54811yescharacteristic
404C4×C11#55311yescharacteristic
405Dic11—42no—
406Dic11—81no—
407Dic11—81no—
408C22×D4—111no—
409C22×D4—221no—
410C22×D4—221no—
411C22×D4C22⋊D1111yescharacteristic
412C23×C4—21no—
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1111yescharacteristic
415C2×M16—222no—
416C2×M16—222no—
417C2×M16—222no—
418C22×C8—111no—
419C22×C8—111no—
420C22×C8—111no—
421C22×C8—111no—
422#121—222no—
423#121—222no—
424#121—222no—
425#121—441no—
426C4×D4—22no—
427C4×D4—22no—
428#117—22no—
429#117—41no—
430#117—222no—
431#117—441no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—41no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4C22⋊D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4C22⋊D1111yescharacteristic
454C2×C22⋊C4C22⋊D1111yescharacteristic
455C2×C42—21no—
456C2×C42—21no—
457C2×C42—221no—
458C2×C42C22×D1111yescharacteristic
459#107—114no—
460#107—222no—
461#107—441no—
462#106—222no—
463#106—222no—
464#106—222no—
465#102—222no—
466#102—222no—
467#102—222no—
468#102—441no—
469C22⋊C8—222no—
470C22⋊C8—222no—
471C22⋊C8—222no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—221no—
478#95—221no—
479C2×C11—42no—
480C2×C11—81no—
481C2×C11#244311yescharacteristic
482C2×C11#309311yescharacteristic
483C2×C11#309611yescharacteristic
484C2×C11#327111yescharacteristic
485C2×C11#327311yescharacteristic
486C2×C11#334711yescharacteristic
487C2×C11#335111yescharacteristic
488D11—161no—
489C24—221no—
490C24C2×C22⋊D1111yescharacteristic
491C24C2×C22⋊D1111yescharacteristic
492C2×D4—22no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—221no—
496C2×D4—221no—
497C2×D4—221no—
498C2×D4—221no—
499C2×D4—221no—
500C2×D4—221no—
501C2×D4—442no—
502C2×D4—442no—
503C2×D4—442no—
504C2×D4—881no—
505C2×D4—881no—
506C2×D4—881no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—81no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4#433912yes—
528C22×C4#433912yes—
529C22×C4C2×C22⋊D1111yescharacteristic
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C2×C22⋊D1111yescharacteristic
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C23×D1111yescharacteristic
534M16—228no—
535C2×C8—112no—
536C2×C8—112no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4—112no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—881no—
563C4⋊C4D4×D1112yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—81no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—881no—
574C22⋊C4—881no—
575C42—21no—
576C42—21no—
577C42—42no—
578C42—81no—
579C42—442no—
580C11#2615611yescharacteristic, complemented, Sylow
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23—441no—
599C23—441no—
600C23—441no—
601C23#6698212yes—
602C23C22×C22⋊D1111yescharacteristic
603D4—44no—
604D4—441no—
605D4—441no—
606D4—441no—
607D4—441no—
608D4—884no—
609D4—884no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
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—84no—
642C2×C4—222no—
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#6698212yes—
652C2×C4C2×#433911yescharacteristic
653C2×C4C2×#433911yescharacteristic
654C2×C4C2×D4×D1111yescharacteristic
655C2×C4#6703711yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C2×C4#6704311yescharacteristic
658C8—222no—
659C8—222no—
660C8—441no—
661C8—441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—881no—
677C22—881no—
678C22—881no—
679C22—881no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22C2×#6698211yescharacteristic
684C22D4×C22⋊D1111yescharacteristic
685C22#1062335311yescharacteristic
686C22#1062335311yescharacteristic
687C22#1062335511yescharacteristic
688C22#1062336611yescharacteristic
689C22#1062336811yescharacteristic
690C4—22no—
691C4—41no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4—81no—
698C4—442no—
699C4—881no—
700C4—881no—
701C4#1062307111yescharacteristic
702C4#1062307811yescharacteristic
703C4#1062308311yescharacteristic
704C4#1062309511yescharacteristic
705C2—42no—
706C2—81no—
707C2—1761no—
708C2#1307234511yescharacteristic
709C2#1307854711yescharacteristic
710C2#1307857411yescharacteristic
711C2#1308020211yescharacteristic
712C2#1308022311yescharacteristic
713C2#1308111011yescharacteristic
714C2#1308117611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2352C2
socleC23×C11C22×D4
prime radical#13072034C2
hypercenter#2352D11
hypocenterC11#26156
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
1. C2×#10622616C2semidirect
2. C2×#10622577C2semidirect
4. #13070140C2semidirect
5. #13070098C2semidirect
6. #13070053C2semidirect
7. #13069798C2semidirect
8. #13069243C2semidirect
9. #13069187C2semidirect
10. #13069052C2semidirect
11. #13068933C2semidirect
12. #13068914C2semidirect
13. #13068815C2semidirect
14. #13068813C2semidirect
15. C11×#2352C2semidirect
131. #66871D4semidirect
227. #2352D11semidirect
580. C11#26156semidirect

Maximal subgroups

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

subgroupindex
C2×#106226162
C2×#106225772
#130720342
#130701402
#130700982
#130700532
#130697982
#130692432
#130691872
#130690522
#130689332
#130689142
#130688152
#130688132
C11×#23522
#2615611