Finite Group Databasebeta

← #14765141

Subgroups — #14765141

Order 2816.

976 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×#10622783C211yesmaximal, characteristic
2#13071303C211yesmaximal, characteristic
3#13071199C211yesmaximal, characteristic, complemented
4#13069499C211yesmaximal, characteristic, complemented
5#13069471C211yesmaximal, characteristic, complemented
6#13069304C211yesmaximal, characteristic, complemented
7#13069289C211yesmaximal, characteristic, complemented
8#13069258C211yesmaximal, characteristic, complemented
9#13069247C211yesmaximal, characteristic, complemented
10#13068950C211yesmaximal, characteristic, complemented
11#13068935C211yesmaximal, characteristic
12#13068818C211yesmaximal, characteristic, complemented
13#13068549C211yesmaximal, characteristic, complemented
14#13068381C211yesmaximal, characteristic, complemented
15C11×#1877C211yesmaximal, characteristic, complemented
16C22×Q8×D11C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66991C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×#66945C2211yescharacteristic
22C2×#66925C2211yescharacteristic
23C2×C11×#103C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C11×#391C2211yescharacteristic
26#10622843C2211yescharacteristic
27C2×#66899C2211yescharacteristic
28C2×#66899C2211yescharacteristic
29#10622834C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31#10622826—21no—
32#10622823—21no—
33#10622783C418yescomplemented
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66882C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×#66879C2211yescharacteristic
40C2×C8×Dic11C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622587C2211yescharacteristic
43#10622586C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46#10622570—21no—
47#10622558—21no—
48C4×C4⋊Dic11C2211yescharacteristic
49#10622542C2211yescharacteristic
50#10622277—21no—
51#10622277—21no—
52#10622259—21no—
53#10622259—21no—
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C22×C22⋊D11—21no—
64C2×Q8×D11—22no—
65C2×Q8×D11—41no—
66C2×Q8×D11—41no—
67C2×Q8×D11—41no—
68C2×Q8×D11—41no—
69C2×Q8×D11C2×C414yescomplemented
70C22×C4×D11—21no—
71C22×C4×D11C2311yescharacteristic
72C22×Dic22—21no—
73C22×Dic22C2311yescharacteristic
74C2×C11×SD16—41no—
75C2×C11×SD16—41no—
76C2×C11×SD16C2×C414yes—
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C4×D4×C11—41no—
80C4×D4×C11—41no—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C42×C11C2311yescharacteristic
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88#66991—22no—
89#66991C2×C414yes—
90C2×#4324—41no—
91C2×#4324—41no—
92C2×#4324C2×C414yes—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4D411yescharacteristic
96C2×(C2×D11)⋊C4D411yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4D411yescharacteristic
102C2×Dic11⋊C4D411yescharacteristic
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108#66945—41no—
109#66945—41no—
110#66925—41no—
111#66925—41no—
112C11×#103—41no—
113C11×#102—41no—
114C11×#95—21no—
115C11×#95—21no—
116#66899—41no—
117#66899C2×C414yescomplemented
118#66896—41no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128(C2×D11)⋊C8—22no—
129(C2×D11)⋊C8C2×C414yescomplemented
130#66882—41no—
131#66880—41no—
132#66880C2×C414yescomplemented
133#66879—41no—
134C8×Dic11—41no—
135#66874—41no—
136#66872—41no—
137#22058—111nomaximal, Sylow
138C24×C11—21no—
139C23×D11C2×D411yescharacteristic
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11C22×C412yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—42no—
156C22×C4×C11—81no—
157C22×C4×C11—81no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2411yescharacteristic
161C2×C22⋊D11—24no—
162C2×C22⋊D11—81no—
163C2×C22⋊D11—81no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11C2×D411yescharacteristic
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171Q8×D11—44no—
172Q8×D11—44no—
173Q8×D11—44no—
174Q8×D11—44no—
175C2×C4×D11—24no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—21no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11C22×C412yes—
183C2×C4×D11#4112yes—
184C2×Dic22—24no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—42no—
191C2×Dic22—42no—
192C2×Dic22C22×C412yes—
193C11×SD16—44no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11C22×C412yes—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C22⋊C4—42no—
205C42×C11—21no—
206C42×C11—21no—
207C22⋊Dic11—24no—
208C22⋊Dic11—81no—
209C22⋊Dic11—81no—
210#4324—44no—
211(C2×D11)⋊C4—41no—
212(C2×D11)⋊C4—41no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—81no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11C22×C412yes—
221Dic11⋊C4—41no—
222Dic11⋊C4—41no—
223Dic11⋊C4—81no—
224C4×Dic11—21no—
225C4×Dic11—21no—
226C4×Dic11—42no—
227C4×Dic11—81no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8C22×C412yes—
234C2×#448—111no—
235#2324—111no—
236#2310—111no—
237#1973—111no—
238#1968—111no—
239#1935—111no—
240#1933—111no—
241#1928—111no—
242#1927—111no—
243#1877—111no—
244#1877D1111yescharacteristic, complemented
245#1875—111no—
246#1854—111no—
247#1787—111no—
248#1750—111no—
249C23×C11—22no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11C22×D411yescharacteristic
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11C4×D412yes—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—41no—
267Q8×C11—41no—
268D4×C11—22no—
269D4×C11—22no—
270D4×C11—41no—
271D4×C11—41no—
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—21no—
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—84no—
288C2×C4×C11C23×C411yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C2×C4×C11H(5,𝔽2)11yescharacteristic
291C2×C4×C11H(5,𝔽2)11yescharacteristic
292C2×C4×C11H(5,𝔽2)11yescharacteristic
293C2×C4×C11H(5,𝔽2)11yescharacteristic
294C22⋊D11—84no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
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—41no—
314C2×Dic11—41no—
315C2×Dic11C4×D412yes—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—22no—
320C4×D11—48no—
321Dic22—22no—
322Dic22—22no—
323Dic22—48no—
324Dic22—41no—
325Dic22—41no—
326C8×C11—22no—
327C8×C11—41no—
328C11⋊C8—22no—
329C11⋊C8—41no—
330C23×Q8—111no—
331C22×SD16—111no—
332C22×SD16C2×D1111yescharacteristic
333C2×#121—111no—
334C2×C4×D4C2×D1111yescharacteristic
335C2×#117—111no—
336C2×#117—111no—
337#448—118no—
338C2×#107—111no—
339C2×#106—111no—
340C2×#103—111no—
341C2×#103—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103C2×D1111yescharacteristic
346C2×#102—111no—
347C2×#102C2×D1111yescharacteristic
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×#97—111no—
351C2×C4×C8—111no—
352#391—111no—
353#391—111no—
354#391—111no—
355#391—221no—
356#391—221no—
357#391C2×D1111yescharacteristic
358#390—111no—
359#390—221no—
360#389—111no—
361#388—221no—
362#386—221no—
363#385—221no—
364#381—221no—
365#381—221no—
366#380—111no—
367C4×C4⋊C4—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340C2×D1111yescharacteristic
372#336—111no—
373#336C2×D1111yescharacteristic
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11C2×C4×D411yescharacteristic
382C22×C11#53411yescharacteristic
383C22×C11#53511yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57711yescharacteristic
387C22×C11#57811yescharacteristic
388C2×D11—22no—
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—41no—
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C4×C11—42no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11#51811yescharacteristic
401C4×C11#51811yescharacteristic
402C4×C11#53811yescharacteristic
403C4×C11#53811yescharacteristic
404Dic11—22no—
405Dic11—42no—
406Dic11—41no—
407Dic11—41no—
408Dic11—42no—
409Dic11—81no—
410Dic11—81no—
411C22×Q8—114no—
412C22×Q8—111no—
413C22×Q8—221no—
414C22×Q8—222no—
415C22×Q8—441no—
416C22×Q8—441no—
417C22×Q8—441no—
418C22×Q8—441no—
419C22×Q8C22×D1111yescharacteristic
420C22×D4—221no—
421C22×D4C22×D1111yescharacteristic
422C23×C4—21no—
423C23×C4—111no—
424C23×C4—221no—
425C2×SD16—41no—
426C2×SD16—41no—
427C2×SD16—114no—
428C2×SD16—441no—
429C2×SD16—441no—
430C2×SD16C4×D1114yes—
431C22×C8—111no—
432C22×C8—111no—
433C22×C8C22×D1111yescharacteristic
434C22×C8C22×D1111yescharacteristic
435#121—114no—
436#121—222no—
437C4×D4—41no—
438C4×D4—41no—
439#117—441no—
440#117—441no—
441#117—441no—
442#117—441no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
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×C42—111no—
460C2×C42—221no—
461C2×C42—221no—
462C2×C42C22×D1111yescharacteristic
463#107—441no—
464#106—441no—
465#103—41no—
466#103—114no—
467#103—114no—
468#103—441no—
469#103—441no—
470#103—441no—
471#102—41no—
472#102—441no—
473C22⋊C8—114no—
474C22⋊C8—222no—
475#97—441no—
476C4×C8—441no—
477#95—21no—
478#95—21no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487#95—221no—
488C2×C11—82no—
489C2×C11#232111yescharacteristic
490C2×C11#294711yescharacteristic
491C2×C11#294911yescharacteristic
492C2×C11#320011yescharacteristic
493C2×C11#320111yescharacteristic
494C2×C11#322111yescharacteristic
495C2×C11#322511yescharacteristic
496D11—42no—
497C24—21no—
498C24—111no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—112no—
505C2×Q8—224no—
506C2×Q8—221no—
507C2×Q8—221no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8—221no—
511C2×Q8—442no—
512C2×Q8—442no—
513C2×Q8—444no—
514C2×Q8—444no—
515C2×Q8—444no—
516C2×Q8—444no—
517C2×Q8C2×C4×D1112yes—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—224no—
524C2×D4—881no—
525C2×D4—881no—
526C2×D4C2×C4×D1112yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—111no—
534C22×C4—112no—
535C22×C4—112no—
536C22×C4—111no—
537C22×C4—111no—
538C22×C4—224no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—442no—
548C22×C4—442no—
549C22×C4D4×D1111yescharacteristic
550C22×C4D4×D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552SD16—44no—
553SD16—444no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—112no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8C2×C4×D1112yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—112no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—441no—
577C4⋊C4—441no—
578C4⋊C4—881no—
579C22⋊C4—42no—
580C22⋊C4—224no—
581C22⋊C4—441no—
582C22⋊C4—441no—
583C22⋊C4—442no—
584C22⋊C4—881no—
585C22⋊C4—881no—
586C22⋊C4—881no—
587C42—21no—
588C42—21no—
589C42—221no—
590C42—221no—
591C42—442no—
592C42—881no—
593C11#2205811yescharacteristic, complemented, Sylow
594C23—22no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—112no—
602C23—221no—
603C23—221no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23—221no—
608C23C2×D4×D1111yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—41no—
612Q8—41no—
613Q8—222no—
614Q8—222no—
615Q8—448no—
616Q8—441no—
617Q8—441no—
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—884no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
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—84no—
639C2×C4—112no—
640C2×C4—221no—
641C2×C4—221no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—448no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4C22×C4×D1111yescharacteristic
666C2×C4#6703711yescharacteristic
667C2×C4#6703711yescharacteristic
668C2×C4#6703711yescharacteristic
669C2×C4#41×D1111yescharacteristic
670C2×C4#6704211yescharacteristic
671C8—22no—
672C8—41no—
673C8—222no—
674C8—441no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—222no—
683C22—222no—
684C22—222no—
685C22—441no—
686C22—441no—
687C22—441no—
688C22—441no—
689C22C4×D4×D1111yescharacteristic
690C22#1062312011yescharacteristic
691C22#1062313811yescharacteristic
692C22#1062329311yescharacteristic
693C22#1062330211yescharacteristic
694C22#1062330611yescharacteristic
695C22#1062330911yescharacteristic
696C4—42no—
697C4—41no—
698C4—41no—
699C4—81no—
700C4—81no—
701C4—222no—
702C4—442no—
703C4—441no—
704C4—441no—
705C4—442no—
706C4—881no—
707C4—881no—
708C4#1062301711yescharacteristic
709C4#1062307611yescharacteristic
710C4#1062314411yescharacteristic
711C4#1062318811yescharacteristic
712C2—82no—
713C2—442no—
714C2#1307127211yescharacteristic
715C2#1307745211yescharacteristic
716C2#1307747211yescharacteristic
717C2#1307948511yescharacteristic
718C2#1307949711yescharacteristic
719C2#1307967611yescharacteristic
720C2#1307972211yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1877C2
socleC23×C11C22×D4
prime radicalC2×#66991C22
cosocleC22×C4×C11C24
hypercenter#1877D11
hypocenterC11#22058
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
3. #13071199C2semidirect
4. #13069499C2semidirect
5. #13069471C2semidirect
6. #13069304C2semidirect
7. #13069289C2semidirect
8. #13069258C2semidirect
9. #13069247C2semidirect
10. #13068950C2semidirect
12. #13068818C2semidirect
13. #13068549C2semidirect
14. #13068381C2semidirect
15. C11×#1877C2semidirect
33. #10622783C4semidirect
69. C2×Q8×D11C2×C4semidirect
117. #66899C2×C4semidirect
129. (C2×D11)⋊C8C2×C4semidirect
132. #66880C2×C4semidirect
244. #1877D11semidirect
593. C11#22058semidirect

Maximal subgroups

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

subgroupindex
C2×#106227832
#130713032
#130711992
#130694992
#130694712
#130693042
#130692892
#130692582
#130692472
#130689502
#130689352
#130688182
#130685492
#130683812
C11×#18772
#2205811