Finite Group Databasebeta

← #14763753

Subgroups — #14763753

Order 2816.

1078 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623113C211yesmaximal, characteristic
2C2×#10622452C211yesmaximal, characteristic, complemented
3#13071226C211yesmaximal, characteristic, complemented
4#13069566C211yesmaximal, characteristic, complemented
5#13069562C211yesmaximal, characteristic, complemented
6#13069545C211yesmaximal, characteristic, complemented
7#13069545C211yesmaximal, characteristic, complemented
8#13069053C211yesmaximal, characteristic
9#13069046C211yesmaximal, characteristic, complemented
10#13069043C211yesmaximal, characteristic
11#13069036C211yesmaximal, characteristic, complemented
12#13068623C211yesmaximal, characteristic, complemented
13#13068621C211yesmaximal, characteristic, complemented
14#13068617C211yesmaximal, characteristic, complemented
15C11×#1805C211yesmaximal, characteristic, complemented
16C2×C4×Q8×C11C2211yescharacteristic
17C2×#67000C2211yescharacteristic
18C2×#66999C2211yescharacteristic
19C22×#4313C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21#10623113—24no—
22#10623113C418yescomplemented
23C2×#66949—21no—
24C2×#66948C2211yescharacteristic
25C2×#66947—21no—
26C2×#66941C2211yescharacteristic
27C2×#66929—21no—
28C2×#66928—21no—
29C2×C4×D44C2211yescharacteristic
30C2×#66925C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C11×#382C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66885C2211yescharacteristic
38C2×#66885C2211yescharacteristic
39C2×Dic11⋊C8C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622600C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44C4⋊C4×Dic11C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66873C2211yescharacteristic
47#10622548C2211yescharacteristic
48C2×C4⋊(C11⋊C8)C2211yescharacteristic
49#10622452—24no—
50#10622283—21no—
51#10622283—21no—
52#10622268—21no—
53#10622268—21no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D44—21no—
64C22×D44C2311yescharacteristic
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C22×Dic22—21no—
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C4×Q8×C11—22no—
71C4×Q8×C11C2×C414yes—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C42×C11—21no—
77C2×C42×C11C2311yescharacteristic
78#67000—22no—
79#67000C2×C414yes—
80#66999—22no—
81#66999C2×C414yes—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4D411yescharacteristic
90C2×(C2×D11)⋊C4D411yescharacteristic
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4D411yescharacteristic
99C2×Dic11⋊C4D411yescharacteristic
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C2×#4313—22no—
106C2×#4313—41no—
107C2×#4313—41no—
108C2×C8×D11—22no—
109C2×C8×D11—41no—
110C2×C8×D11—41no—
111#66949—28no—
112#66948—22no—
113#66948C2×C414yes—
114#66947—28no—
115#66941—22no—
116#66941C2×C414yes—
117#66929—28no—
118#66928—28no—
119C4×D44—22no—
120C4×D44C2×C414yes—
121#66925C2×C414yes—
122#66925D414yes—
123C11×C4⋊C8—22no—
124C11×#103—41no—
125C11×#103—41no—
126C11×#95—21no—
127C11×#95—21no—
128#66899—41no—
129#66899—41no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133C11⋊#95—21no—
134#66885—41no—
135#66885—41no—
136Dic11⋊C8—22no—
137Dic11⋊C8—22no—
138#66873—41no—
139#66873—41no—
140C4⋊(C11⋊C8)—22no—
141#21896—111nomaximal, Sylow
142C23×D11—21no—
143C23×D11C2×D411yescharacteristic
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2411yescharacteristic
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11C2×D411yescharacteristic
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C2×D44—24no—
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—81no—
170C2×D44—81no—
171C2×D44C22×C412yes—
172C2×C4×D11—24no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—81no—
178C2×C4×D11—81no—
179C2×C4×D11C22×C412yes—
180C2×C4×D11C2×D412yes—
181C2×Dic22—24no—
182C2×Dic22—81no—
183C2×Dic22—81no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4C22×C412yes—
197C42×C11—24no—
198C42×C11C22×C412yes—
199C42×C11C2×D412yes—
200(C2×D11)⋊C4—24no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—24no—
205(C2×D11)⋊C4—81no—
206(C2×D11)⋊C4—81no—
207(C2×D11)⋊C4C22⋊C414yes—
208(C2×D11)⋊C4C22⋊C414yes—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—81no—
215C4⋊Dic11—81no—
216C4⋊Dic11C22×C412yes—
217Dic11⋊C4—24no—
218Dic11⋊C4—24no—
219Dic11⋊C4C22⋊C414yes—
220Dic11⋊C4C22⋊C414yes—
221C4×Dic11—81no—
222C4×Dic11—81no—
223C4×Dic11C22×C412yes—
224C4×Dic11C2×D412yes—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231#4313—44no—
232C8×D11—44no—
233C2×#542—111no—
234C2×#424—111no—
235#2314—111no—
236#1988—111no—
237#1987—111no—
238#1983—111no—
239#1983—111no—
240#1895—111no—
241#1894—111no—
242#1893—111no—
243#1892—111no—
244#1805D1111yescharacteristic, complemented
245#1804—111no—
246#1803—111no—
247#1802—111no—
248C23×C11C22×D411yescharacteristic
249C22×D11—21no—
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—22no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11C2×C22⋊C412yes—
263Q8×C11—22no—
264Q8×C11—22no—
265Q8×C11—41no—
266Q8×C11—41no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
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×C11C2×C22⋊C412yes—
284C2×C4×C11C2×C22⋊C412yes—
285C2×C4×C11C23×C411yescharacteristic
286C2×C4×C11C22×D411yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C2×C4×C112−1+411yescharacteristic
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—22no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11C2×C22⋊C412yes—
307C2×Dic11C2×C22⋊C412yes—
308C2×Dic11C2×C22⋊C412yes—
309D44—22no—
310D44—22no—
311D44—41no—
312D44—41no—
313D44—84no—
314C4×D11—22no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—84no—
319Dic22—84no—
320C8×C11—41no—
321C8×C11—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C22×M16—111no—
325C23×C8—111no—
326#542—118no—
327#542—224no—
328C2×C4⋊Q8—111no—
329C2×#126—221no—
330C2×#124—111no—
331C2×#124—221no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8—221no—
335C2×#121—111no—
336C2×C4×Q8C2×D1111yescharacteristic
337C2×C4×D4—111no—
338C2×#117—111no—
339#424—224no—
340C2×C4⋊C8—111no—
341C2×C4⋊C8—111no—
342C2×C4⋊C8—111no—
343C2×C4⋊C8C2×D1111yescharacteristic
344C2×#103—111no—
345C2×#103—111no—
346C2×#103C2×D1111yescharacteristic
347C2×#103C2×D1111yescharacteristic
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352#388—221no—
353#388—221no—
354#387—221no—
355#387—221no—
356#384—111no—
357#382C2×D1111yescharacteristic
358#380—111no—
359#380—111no—
360C4×C4⋊C4—111no—
361C4×C4⋊C4—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340C2×D1111yescharacteristic
369#340C2×D1111yescharacteristic
370C22×C11C22×C22⋊C411yescharacteristic
371C22×C11#53711yescharacteristic
372C22×C11#53711yescharacteristic
373C22×C11#57611yescharacteristic
374C22×C11#57711yescharacteristic
375C22×C11#57711yescharacteristic
376C22×C11#57811yescharacteristic
377C2×D11—22no—
378C2×D11—22no—
379C2×D11—22no—
380C2×D11—41no—
381C2×D11—41no—
382C2×D11—41no—
383C2×D11—41no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11—81no—
396C4×C11—81no—
397C4×C11#52011yescharacteristic
398C4×C11#52011yescharacteristic
399C4×C11#53511yescharacteristic
400C4×C11#53611yescharacteristic
401Dic11—22no—
402Dic11—22no—
403Dic11—22no—
404Dic11—42no—
405Dic11—81no—
406Dic11—81no—
407C22×Q8—221no—
408C22×Q8C22×D1111yescharacteristic
409C22×D4—111no—
410C22×D4—221no—
411C23×C4—111no—
412C23×C4—221no—
413C2×M16—222no—
414C2×M16—441no—
415C2×M16—441no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—222no—
419C22×C8—441no—
420C22×C8—441no—
421C22×C8C22×D1111yescharacteristic
422C22×C8C22×D1111yescharacteristic
423C4⋊Q8—114no—
424C4⋊Q8—222no—
425#126—228no—
426#124—114no—
427#124—228no—
428#124—222no—
429#123—228no—
430C22⋊Q8—114no—
431C22⋊Q8—228no—
432C22⋊Q8—222no—
433#121—114no—
434#121—222no—
435C4×Q8—22no—
436C4×Q8C4×D1114yes—
437C4×D4—114no—
438C4×D4—222no—
439#117—114no—
440#117—114no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C22⋊C4—111no—
455C2×C22⋊C4—111no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C42—21no—
464C2×C42—111no—
465C2×C42—221no—
466C2×C42—221no—
467C2×C42C22×D1111yescharacteristic
468C4⋊C8—22no—
469C4⋊C8—222no—
470C4⋊C8—222no—
471C4⋊C8—222no—
472#103—41no—
473#103—41no—
474#103—441no—
475#103—441no—
476#102—441no—
477#102—441no—
478#102—441no—
479#102—441no—
480#95—21no—
481#95—21no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486C2×C11#231111yescharacteristic
487C2×C11#289711yescharacteristic
488C2×C11#289811yescharacteristic
489C2×C11#325711yescharacteristic
490C2×C11#325811yescharacteristic
491C2×C11#326211yescharacteristic
492C2×C11#326311yescharacteristic
493D11—42no—
494D11—82no—
495C24—111no—
496C24—221no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—224no—
503C2×Q8—881no—
504C2×Q8—881no—
505C2×Q8C2×C4×D1112yes—
506C2×D4—112no—
507C2×D4—224no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—881no—
514C2×D4—881no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—111no—
520C22×C4—111no—
521C22×C4—111no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—224no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—881no—
533C22×C4—881no—
534C22×C4D4×D1111yescharacteristic
535C22×C4D4×D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537M16—444no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—444no—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—114no—
558C4⋊C4—114no—
559C4⋊C4—112no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—881no—
568C4⋊C4—881no—
569C4⋊C4C2×C4×D1112yes—
570C22⋊C4—114no—
571C22⋊C4—114no—
572C22⋊C4—224no—
573C22⋊C4—224no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—881no—
578C22⋊C4—881no—
579C42—24no—
580C42—112no—
581C42—112no—
582C42—881no—
583C42—881no—
584C42C2×C4×D1112yes—
585C42D4×D1112yes—
586C11#2189611yescharacteristic, complemented, Sylow
587C23—112no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—221no—
592C23—221no—
593C23—221no—
594C23—222no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23—441no—
599C23—441no—
600C23—441no—
601C23C2×D4×D1111yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—884no—
607D4—222no—
608D4—222no—
609D4—441no—
610D4—441no—
611D4—884no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—112no—
629C2×C4—112no—
630C2×C4—112no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
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—884no—
651C2×C4C22⋊C4×D1112yes—
652C2×C4C22⋊C4×D1112yes—
653C2×C4C22×C4×D1111yescharacteristic
654C2×C4C2×D4×D1111yescharacteristic
655C2×C4#6703711yescharacteristic
656C2×C4#6704011yescharacteristic
657C2×C4#6704211yescharacteristic
658C2×C4#6704311yescharacteristic
659C8—41no—
660C8—41no—
661C8—441no—
662C8—441no—
663C22—222no—
664C22—222no—
665C22—222no—
666C22—441no—
667C22—441no—
668C22—441no—
669C22—441no—
670C22—442no—
671C22—442no—
672C22—442no—
673C22—881no—
674C22—881no—
675C22—881no—
676C22—881no—
677C22C2×C22⋊C4×D1111yescharacteristic
678C22#1062313911yescharacteristic
679C22#1062316011yescharacteristic
680C22#1062330011yescharacteristic
681C22#1062330111yescharacteristic
682C22#1062330911yescharacteristic
683C22#1062331011yescharacteristic
684C4—22no—
685C4—22no—
686C4—42no—
687C4—42no—
688C4—81no—
689C4—81no—
690C4—222no—
691C4—222no—
692C4—222no—
693C4—442no—
694C4—881no—
695C4—881no—
696C4#1062303511yescharacteristic
697C4#1062305411yescharacteristic
698C4#1062313811yescharacteristic
699C4#1062315911yescharacteristic
700C2—442no—
701C2—882no—
702C2#1307120511yescharacteristic
703C2#1307713811yescharacteristic
704C2#1307714811yescharacteristic
705C2#1308003311yescharacteristic
706C2#1308004811yescharacteristic
707C2#1308007511yescharacteristic
708C2#1308008411yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1805C2
socleC23×C11C22×D4
prime radicalC2×#66948C22
cosocleC22×C4×C11C24
hypercenter#1805D11
hypocenterC11#21896
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1805

Complements

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

NH ≅ G/Ntype
2. C2×#10622452C2semidirect
3. #13071226C2semidirect
4. #13069566C2semidirect
5. #13069562C2semidirect
6. #13069545C2semidirect
7. #13069545C2semidirect
9. #13069046C2semidirect
11. #13069036C2semidirect
12. #13068623C2semidirect
13. #13068621C2semidirect
14. #13068617C2semidirect
15. C11×#1805C2semidirect
22. #10623113C4semidirect
244. #1805D11semidirect
586. C11#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#106231132
C2×#106224522
#130712262
#130695662
#130695622
#130695452
#130690532
#130690462
#130690432
#130690362
#130686232
#130686212
#130686172
C11×#18052
#2189611