Finite Group Databasebeta

← #14682940

Subgroups — #14682940

Order 2816.

2070 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66988C211yesmaximal, characteristic
2C2×#10622833C211yesmaximal, characteristic
3#13066866C212yesmaximal, complemented
4#13066863C212yesmaximal, complemented
5#13066863C212yesmaximal, complemented
6#13066849C212yesmaximal, complemented
7#13066838C212yesmaximal, complemented
8#13066838C212yesmaximal, complemented
9C2×C11×#390C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C24×Dic11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C22⋊C4C2212yes—
15C22×C11×C22⋊C4C2212yes—
16C22×C42×C11C2211yescharacteristic
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2212yes—
19C22×C22⋊Dic11C2211yescharacteristic
20C22×C22⋊Dic11C2211yescharacteristic
21C2×#66988—24no—
22C2×#66988—24no—
23C2×#66988C418yescomplemented
24C22×Dic11⋊C4C2212yes—
25C11×#390—24no—
26#10622833—24no—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C25×C11C2311yescharacteristic
37C25×C11C2311yescharacteristic
38C22×D4×C11—41no—
39C22×D4×C11—41no—
40C22×D4×C11—41no—
41C22×D4×C11—41no—
42C22×D4×C11C2×C414yes—
43C22×D4×C11D414yes—
44C22×D4×C11D414yes—
45C23×C4×C11C2312yes—
46C23×C4×C11C2312yes—
47C23×C4×C11C2311yescharacteristic
48C23×Dic11—22no—
49C23×Dic11—22no—
50C23×Dic11—22no—
51C23×Dic11—24no—
52C23×Dic11—41no—
53C23×Dic11—41no—
54C23×Dic11—41no—
55C23×Dic11—41no—
56C23×Dic11—41no—
57C23×Dic11—41no—
58C23×Dic11—42no—
59C23×Dic11C2×C414yescomplemented
60C23×Dic11C2312yes—
61C23×Dic11C2312yes—
62C23×Dic11C2312yes—
63C23×Dic11C2312yes—
64C2×C11×C4⋊C4—22no—
65C2×C11×C4⋊C4—41no—
66C2×C11×C4⋊C4—41no—
67C2×C11×C22⋊C4—24no—
68C2×C11×C22⋊C4—24no—
69C2×C11×C22⋊C4—24no—
70C2×C11×C22⋊C4—24no—
71C2×C11×C22⋊C4—42no—
72C2×C11×C22⋊C4—42no—
73C2×C42×C11—22no—
74C2×C42×C11—41no—
75C2×C42×C11—41no—
76C2×C22⋊Dic11—24no—
77C2×C22⋊Dic11—22no—
78C2×C22⋊Dic11—24no—
79C2×C22⋊Dic11—22no—
80C2×C22⋊Dic11—24no—
81C2×C22⋊Dic11—22no—
82C2×C22⋊Dic11—24no—
83C2×C22⋊Dic11—42no—
84C2×C22⋊Dic11—41no—
85C2×C22⋊Dic11—41no—
86C2×C22⋊Dic11C2×C418yes—
87C2×C22⋊Dic11C2×C414yescomplemented
88#66988—232no—
89C2×Dic11⋊C4—24no—
90C2×Dic11⋊C4—24no—
91C2×Dic11⋊C4C2×C418yescomplemented
92C11⋊#95—24no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—42no—
96C11⋊#95—42no—
97C11⋊#95—42no—
98C11⋊#95—42no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101#14505—111nomaximal, Sylow
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—21no—
108C24×C11—21no—
109C24×C11—22no—
110C24×C11—21no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11C22×C412yes—
119C24×C11C22×C412yes—
120C24×C11C2×D412yes—
121C24×C11C2×D412yes—
122C24×C11C2×D412yes—
123C24×C11C2×D412yes—
124C24×C11C2411yescharacteristic
125C2×D4×C11—44no—
126C2×D4×C11—44no—
127C2×D4×C11—44no—
128C2×D4×C11—44no—
129C2×D4×C11—44no—
130C2×D4×C11—44no—
131C2×D4×C11C22⋊C4116yes—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11C22×C412yes—
150C22×C4×C11C2×D412yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11#4114yes—
153C22×Dic11—28no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—44no—
180C22×Dic11—44no—
181C22×Dic11—48no—
182C22×Dic11—44no—
183C22×Dic11—44no—
184C22×Dic11—44no—
185C22×Dic11—44no—
186C22×Dic11—44no—
187C22×Dic11—44no—
188C22×Dic11—48no—
189C22×Dic11—44no—
190C22×Dic11C22×C414yes—
191C22×Dic11C22×C414yes—
192C22×Dic11#4114yes—
193C11×C4⋊C4—44no—
194C11×C22⋊C4—48no—
195C11×C22⋊C4—48no—
196C42×C11—44no—
197C22⋊Dic11—216no—
198C22⋊Dic11—28no—
199C22⋊Dic11—48no—
200C22⋊Dic11—44no—
201Dic11⋊C4—216no—
202C22×#123—111no—
203C2×#390D1111yescharacteristic
204C2×#386—111no—
205#1441—112no—
206#1440—112no—
207#1440—112no—
208#1436—112no—
209C22⋊#95—112no—
210C22⋊#95—112no—
211C23×C11—24no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C2×C22⋊C414yes—
256C23×C11C2×C22⋊C414yes—
257C23×C11C23×C411yescharacteristic
258C23×C11C22×D411yescharacteristic
259C23×C11C22×D411yescharacteristic
260C23×C11C2×#4112yes—
261C23×C11C2×#4112yes—
262C23×C11H(5,𝔽2)11yescharacteristic
263C23×C11H(5,𝔽2)11yescharacteristic
264C23×C11H(5,𝔽2)11yescharacteristic
265C23×C11H(5,𝔽2)11yescharacteristic
266C23×C11H(5,𝔽2)12yes—
267C23×C112−1+412yes—
268D4×C11—416no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11C2×C22⋊C414yes—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—416no—
300C2×Dic11—416no—
301C2×Dic11—42no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C23×D4C2×D1111yescharacteristic
321C24×C4—111no—
322C24×C4—111no—
323C2×#123—118no—
324C2×#123—224no—
325C2×#123—224no—
326C22×C4⋊C4—112no—
327C22×C4⋊C4C2×D1111yescharacteristic
328C22×C22⋊C4—112no—
329C22×C22⋊C4—111no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4C2×D1112yes—
333C22×C22⋊C4C2×D1112yes—
334C22×C42C2×D1111yescharacteristic
335#390—24no—
336#386—224no—
337C2×#95—112no—
338C2×#95—112no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C2×#95—112no—
345C2×#95—112no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—28no—
349C22×C11—28no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11C22×C22⋊C411yescharacteristic
369C22×C11C4×#4112yes—
370C22×C11#51811yescharacteristic
371C22×C11#51811yescharacteristic
372C22×C11#52012yes—
373C22×C11#53411yescharacteristic
374C22×C11#53411yescharacteristic
375C22×C11#53411yescharacteristic
376C22×C11#53411yescharacteristic
377C22×C11#53812yes—
378C22×C11#53912yes—
379C22×C11#54012yes—
380C22×C11#54212yes—
381C22×C11#54612yes—
382C22×C11#54612yes—
383C22×C11#54712yes—
384C22×C11#54712yes—
385C22×C11#55111yescharacteristic
386C22×C11#55312yes—
387C22×C11#55911yescharacteristic
388C22×C11#56011yescharacteristic
389C22×C11#56212yes—
390C22×C11#56311yescharacteristic
391C4×C11—24no—
392C4×C11—44no—
393C4×C11—82no—
394Dic11—44no—
395Dic11—44no—
396Dic11—44no—
397Dic11—82no—
398C25C22×D1111yescharacteristic
399C25C22×D1111yescharacteristic
400C22×D4—41no—
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4C4×D1114yes—
405C22×D4D4414yes—
406C22×D4C22⋊D1114yes—
407C23×C4—112no—
408C23×C4—112no—
409C23×C4—112no—
410C23×C4—114no—
411C23×C4—112no—
412C23×C4—224no—
413C23×C4—222no—
414C23×C4—222no—
415C23×C4—222no—
416C23×C4—441no—
417C23×C4—441no—
418C23×C4—441no—
419C23×C4—441no—
420C23×C4—441no—
421C23×C4—441no—
422C23×C4—442no—
423C23×C4C22×D1112yes—
424C23×C4C22×D1112yes—
425C23×C4C22×D1111yescharacteristic
426#123—2232no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—41no—
430C2×C4⋊C4—118no—
431C2×C4⋊C4—224no—
432C2×C4⋊C4—224no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4—118no—
440C2×C22⋊C4—114no—
441C2×C22⋊C4—222no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—222no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—222no—
448C2×C22⋊C4—442no—
449C2×C22⋊C4—441no—
450C2×C22⋊C4—441no—
451C2×C42—22no—
452C2×C42—41no—
453C2×C42—41no—
454#95—224no—
455#95—224no—
456#95—224no—
457#95—442no—
458#95—442no—
459#95—442no—
460#95—442no—
461#95—442no—
462#95—442no—
463C2×C11—44no—
464C2×C11—44no—
465C2×C11#230811yescharacteristic
466C2×C11#233512yes—
467C2×C11#233912yes—
468C2×C11#237411yescharacteristic
469C2×C11#237611yescharacteristic
470C2×C11#269711yescharacteristic
471C2×C11#270112yes—
472C2×C11#270812yes—
473C2×C11#270911yescharacteristic
474C2×C11#271711yescharacteristic
475C2×C11#272411yescharacteristic
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—21no—
481C24—21no—
482C24—21no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24C2×C4×D1112yes—
493C24C2×C4×D1112yes—
494C24C2×D4412yes—
495C24C2×D4412yes—
496C24C2×C22⋊D1112yes—
497C24C2×C22⋊D1112yes—
498C24C23×D1111yescharacteristic
499C2×D4—44no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4(C2×D11)⋊C4116yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—228no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—444no—
553C22×C4—444no—
554C22×C4—444no—
555C22×C4—448no—
556C22×C4—448no—
557C22×C4—444no—
558C22×C4—444no—
559C22×C4—444no—
560C22×C4—444no—
561C22×C4—444no—
562C22×C4—444no—
563C22×C4C2×C4×D1112yes—
564C22×C4C2×D4412yes—
565C22×C4#434114yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—44no—
568C4⋊C4—2216no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—228no—
572C22⋊C4—2216no—
573C22⋊C4—448no—
574C22⋊C4—444no—
575C42—44no—
576C11#1450511yescharacteristic, complemented, Sylow
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C2×(C2×D11)⋊C414yes—
622C23C2×(C2×D11)⋊C414yes—
623C23C22×C4×D1111yescharacteristic
624C23C22×D4411yescharacteristic
625C23C2×#434112yes—
626C23#6703711yescharacteristic
627C23#6703711yescharacteristic
628C23#6703712yes—
629C23#6703711yescharacteristic
630C23#6703711yescharacteristic
631C23#41×D1112yes—
632C23#6704312yes—
633C23C22×C22⋊D1111yescharacteristic
634D4—416no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—224no—
664C2×C4—4416no—
665C2×C4—4416no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4C2×(C2×D11)⋊C414yes—
686C22—28no—
687C22—28no—
688C22—24no—
689C22—24no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22#1062301711yescharacteristic
709C22#1062301711yescharacteristic
710C22#1062302411yescharacteristic
711C22#1062302411yescharacteristic
712C22C4×#434112yes—
713C22#1062307712yes—
714C22#1062308512yes—
715C22#1062308612yes—
716C22#1062313212yes—
717C22#1062313312yes—
718C22#1062314412yes—
719C22#1062315212yes—
720C22#1062320012yes—
721C22#1062320311yescharacteristic
722C22#1062321011yescharacteristic
723C22#1062324411yescharacteristic
724C22#1062325012yes—
725C22#1062325111yescharacteristic
726C22C22×(C2×D11)⋊C411yescharacteristic
727C22#1062333511yescharacteristic
728C22#1062333511yescharacteristic
729C22#1062333712yes—
730C22#1062335512yes—
731C4—24no—
732C4—44no—
733C4—82no—
734C4—444no—
735C4—444no—
736C4—444no—
737C4—882no—
738C2—44no—
739C2—44no—
740C2#1307119111yescharacteristic
741C2#1307140312yes—
742C2#1307144112yes—
743C2#1307175111yescharacteristic
744C2#1307176611yescharacteristic
745C2#1307517811yescharacteristic
746C2#1307522712yes—
747C2#1307532812yes—
748C2#1307534311yescharacteristic
749C2#1307545111yescharacteristic
750C2#1307554611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#390C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC2×#390D11
hypocenterC11#14505
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
3. #13066866C2semidirect
4. #13066863C2semidirect
5. #13066863C2semidirect
6. #13066849C2semidirect
7. #13066838C2semidirect
8. #13066838C2semidirect
23. C2×#66988C4semidirect
59. C23×Dic11C2×C4semidirect
87. C2×C22⋊Dic11C2×C4semidirect
91. C2×Dic11⋊C4C2×C4semidirect
576. C11#14505semidirect

Maximal subgroups

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

subgroupindex
C22×#669882
C2×#106228332
#130668662
#130668632
#130668492
#130668382
C2×C11×#3902
#1450511