Finite Group Databasebeta

← #14765316

Subgroups — #14765316

Order 2816.

822 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622740C211yesmaximal, characteristic
2C2×#10622732C211yesmaximal, characteristic, complemented
3#13071876C211yesmaximal, characteristic
4#13069339C211yesmaximal, characteristic, complemented
5#13069334C211yesmaximal, characteristic, complemented
6#13069229C211yesmaximal, characteristic, complemented
7#13069222C211yesmaximal, characteristic, complemented
8#13069181C211yesmaximal, characteristic, complemented
9#13069181C211yesmaximal, characteristic, complemented
10#13068906C211yesmaximal, characteristic
11#13068796C211yesmaximal, characteristic, complemented
12#13068795C211yesmaximal, characteristic, complemented
13#13068795C211yesmaximal, characteristic, complemented
14#13068685C211yesmaximal, characteristic, complemented
15C11×#1753C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C4×C22⋊D11C2211yescharacteristic
18C2×#66979C2211yescharacteristic
19C23×C11⋊C8C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21C2×C11×C22⋊C8C2211yescharacteristic
22C2×C11×#97C2211yescharacteristic
23C2×C4×C8×C11C2211yescharacteristic
24C4×C11×C22⋊C4C2211yescharacteristic
25C2×C22⋊(C11⋊C8)C2211yescharacteristic
26#10622740—24no—
27#10622732—24no—
28C2×(C2×D11)⋊C8C2211yescharacteristic
29C2×(C2×D11)⋊C8C2211yescharacteristic
30C2×(C2×D11)⋊C8C2211yescharacteristic
31C2×#66879C2211yescharacteristic
32C2×Dic11⋊C8C2211yescharacteristic
33C2×Dic11⋊C8C2211yescharacteristic
34C2×Dic11⋊C8C2211yescharacteristic
35C2×Dic11⋊C8C2211yescharacteristic
36C2×Dic11⋊C8C2211yescharacteristic
37#10622574C411yescharacteristic
38#10622574C411yescharacteristic
39#10622566C411yescharacteristic
40#10622566C411yescharacteristic
41C4×(C2×D11)⋊C4C2211yescharacteristic
42C4×(C2×D11)⋊C4C2211yescharacteristic
43C4×C4⋊Dic11C2211yescharacteristic
44C4×C4⋊Dic11C2211yescharacteristic
45C2×C4⋊(C11⋊C8)C2211yescharacteristic
46C2×C4⋊(C11⋊C8)C2211yescharacteristic
47#10622290C411yescharacteristic
48#10622287C411yescharacteristic
49#10622274C411yescharacteristic
50#10622272C411yescharacteristic
51C11×#336C2211yescharacteristic
52C11×#336C2211yescharacteristic
53#10622188C2211yescharacteristic
54#10622188C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11C2×C411yescharacteristic
63C22×C4×D11C2311yescharacteristic
64C2×C11×M16—41no—
65C2×C11×M16—41no—
66C2×C11×M16D414yes—
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C2×C11×C22⋊C4C2×C411yescharacteristic
72C2×C11×C22⋊C4C2×C411yescharacteristic
73C2×C42×C11C2311yescharacteristic
74C2×C42×C11C2311yescharacteristic
75C2×C22⋊Dic11C2×C411yescharacteristic
76C2×C22⋊Dic11C2×C411yescharacteristic
77C2×C22⋊Dic11C2×C411yescharacteristic
78C4×C22⋊D11—22no—
79C4×C22⋊D11—22no—
80C2×(C2×D11)⋊C4C2×C411yescharacteristic
81C2×(C2×D11)⋊C4C2×C411yescharacteristic
82C2×(C2×D11)⋊C4C2×C411yescharacteristic
83C2×(C2×D11)⋊C4C2×C411yescharacteristic
84C2×(C2×D11)⋊C4C2×C411yescharacteristic
85#66979—22no—
86#66979—22no—
87C2×C4⋊Dic11C2×C411yescharacteristic
88C2×C4⋊Dic11C2×C411yescharacteristic
89C2×C4⋊Dic11C2×C411yescharacteristic
90C2×C4⋊Dic11C2×C411yescharacteristic
91C2×C4⋊Dic11C2×C411yescharacteristic
92C2×C4⋊Dic11C2×C411yescharacteristic
93C2×Dic11⋊C4C2×C411yescharacteristic
94C2×C4×Dic11C2311yescharacteristic
95C2×C4×Dic11C2311yescharacteristic
96C2×C4×Dic11C2311yescharacteristic
97C22×C11⋊C8—22no—
98C22×C11⋊C8—41no—
99C22×C11⋊C8—41no—
100C22×C11⋊C8C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C2×C8×D11—22no—
105C2×C8×D11—41no—
106C2×C8×D11—41no—
107C11×C22⋊C8—22no—
108C11×#97—41no—
109C4×C8×C11—41no—
110C11×#95C2×C411yescharacteristic
111C11×#95C2×C411yescharacteristic
112C11⋊#95C2×C411yescharacteristic
113C11⋊#95C2×C411yescharacteristic
114C11⋊#95C2×C411yescharacteristic
115C11⋊#95C2×C411yescharacteristic
116C11⋊#95C2×C411yescharacteristic
117C11⋊#95C2×C411yescharacteristic
118C11⋊#95C2×C411yescharacteristic
119C11⋊#95C2×C411yescharacteristic
120C22⋊(C11⋊C8)—22no—
121(C2×D11)⋊C8—22no—
122(C2×D11)⋊C8—41no—
123(C2×D11)⋊C8—41no—
124#66879—22no—
125Dic11⋊C8—22no—
126Dic11⋊C8—22no—
127Dic11⋊C8—22no—
128Dic11⋊C8—22no—
129Dic11⋊C8—22no—
130C4⋊(C11⋊C8)—41no—
131C4⋊(C11⋊C8)—41no—
132#22072—111nomaximal, Sylow
133C24×C11C22×C411yescharacteristic
134C23×D11C22×C411yescharacteristic
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11C22×C411yescharacteristic
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C22×C411yescharacteristic
144C22×C4×C11C2×D412yes—
145C22×C4×C11#4112yes—
146C22×C4×C11C2411yescharacteristic
147C2×C22⋊D11—22no—
148C2×C22⋊D11—22no—
149C2×C22⋊D11—41no—
150C22×Dic11C22×C411yescharacteristic
151C22×Dic11C22×C411yescharacteristic
152C22×Dic11C22×C411yescharacteristic
153C22×Dic11C22×C411yescharacteristic
154C22×Dic11C22×C411yescharacteristic
155C22×Dic11C22×C411yescharacteristic
156C22×Dic11C22×C411yescharacteristic
157C2×C4×D11—21no—
158C2×C4×D11—21no—
159C2×C4×D11—21no—
160C2×C4×D11—21no—
161C2×C4×D11—21no—
162C2×C4×D11—21no—
163C11×M16—44no—
164C2×C8×C11—21no—
165C2×C8×C11—21no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
170C2×C8×C11—21no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11C2×D412yes—
175C2×C8×C11C2×D412yes—
176C11×C22⋊C4—22no—
177C11×C22⋊C4—41no—
178C42×C11—21no—
179C42×C11—21no—
180C42×C11—21no—
181C42×C11—21no—
182C22⋊Dic11—22no—
183C22⋊Dic11—22no—
184C22⋊Dic11—22no—
185(C2×D11)⋊C4—22no—
186(C2×D11)⋊C4—22no—
187(C2×D11)⋊C4—22no—
188(C2×D11)⋊C4—22no—
189(C2×D11)⋊C4—41no—
190C4⋊Dic11—22no—
191C4⋊Dic11—22no—
192C4⋊Dic11—22no—
193C4⋊Dic11—41no—
194C4⋊Dic11—41no—
195C4⋊Dic11—41no—
196Dic11⋊C4—22no—
197C4×Dic11—21no—
198C4×Dic11—21no—
199C4×Dic11—21no—
200C4×Dic11—21no—
201C4×Dic11—21no—
202C4×Dic11—21no—
203C2×C11⋊C8—21no—
204C2×C11⋊C8—21no—
205C2×C11⋊C8—21no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—44no—
216C8×D11—44no—
217C2×#435—111no—
218C2×#424—111no—
219#2395—111no—
220#1940—111no—
221#1939—111no—
222#1924—111no—
223#1923—111no—
224#1917—111no—
225#1917—111no—
226#1869—111no—
227#1850—111no—
228#1850—111no—
229#1850—111no—
230#1818—111no—
231#1753D1111yescharacteristic, complemented
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11C4×D412yes—
239C23×C11C23×C411yescharacteristic
240C22×D11—21no—
241C22×D11—21no—
242C22×D11—21no—
243C22×D11—21no—
244C22×D11—21no—
245C22×D11—21no—
246C22×D11#13112yes—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11C4×D412yes—
265C2×C4×C11#13112yes—
266C2×C4×C11C22×D411yescharacteristic
267C2×C4×C11C2×#4111yescharacteristic
268C2×C4×C11H(5,𝔽2)11yescharacteristic
269C2×C4×C11H(5,𝔽2)11yescharacteristic
270C2×C4×C112−1+411yescharacteristic
271C2×C4×C112−1+411yescharacteristic
272C22⋊D11—44no—
273C2×Dic11—21no—
274C2×Dic11—21no—
275C2×Dic11—21no—
276C2×Dic11—21no—
277C2×Dic11—21no—
278C2×Dic11—21no—
279C2×Dic11—21no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C4×D11—41no—
295C4×D11—41no—
296C4×D11—41no—
297C4×D11—41no—
298C8×C11—22no—
299C8×C11—22no—
300C8×C11—41no—
301C8×C11—41no—
302C11⋊C8—41no—
303C11⋊C8—41no—
304C11⋊C8—41no—
305C11⋊C8—41no—
306C22×M16C2×D1111yescharacteristic
307C23×C8—111no—
308C23×C8—111no—
309C2×C4×D4—111no—
310C2×#117—111no—
311#435—224no—
312#424—224no—
313C2×C4⋊C8—111no—
314C2×C4⋊C8—111no—
315C2×C4⋊C8—111no—
316C2×C4⋊C8—111no—
317C2×C4⋊C8—111no—
318C2×C4⋊C8—111no—
319C2×C4⋊C8—111no—
320C2×C22⋊C8—111no—
321C2×C22⋊C8—111no—
322C2×C22⋊C8—111no—
323C2×C22⋊C8—111no—
324C2×C22⋊C8C2×D1111yescharacteristic
325C2×#97—111no—
326C2×#97C2×D1111yescharacteristic
327C2×C4×C8C2×D1111yescharacteristic
328#400—111no—
329#399—111no—
330#398—111no—
331#397—111no—
332#397—111no—
333#397—111no—
334#394—111no—
335#394—111no—
336C4×C4⋊C4—111no—
337C4×C4⋊C4—111no—
338C4×C22⋊C4—111no—
339C4×C22⋊C4—111no—
340C4×C22⋊C4C2×D1111yescharacteristic
341#336—111no—
342#336—111no—
343#336—111no—
344#336—111no—
345#336—111no—
346#336—111no—
347#336—111no—
348#336—111no—
349#336C2×D1111yescharacteristic
350#336C2×D1111yescharacteristic
351C22×C11—22no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11C2×C4×D411yescharacteristic
359C22×C11#52011yescharacteristic
360C22×C11#52011yescharacteristic
361C22×C11C2×#13111yescharacteristic
362C22×C11C2×#13111yescharacteristic
363C22×C11#56811yescharacteristic
364C22×C11#56811yescharacteristic
365C2×D11—22no—
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—41no—
369C2×D11—41no—
370C2×D11—41no—
371C2×D11—41no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—41no—
375C4×C11—41no—
376C4×C11—41no—
377C4×C11#53411yescharacteristic
378C4×C11#53611yescharacteristic
379C4×C11#53911yescharacteristic
380C4×C11#53911yescharacteristic
381Dic11—41no—
382Dic11—41no—
383Dic11—41no—
384Dic11—41no—
385Dic11—41no—
386Dic11—41no—
387Dic11—41no—
388C22×D4—111no—
389C23×C4—111no—
390C23×C4C22×D1111yescharacteristic
391C2×M16—41no—
392C2×M16—41no—
393C2×M16D4414yes—
394C22×C8—111no—
395C22×C8—111no—
396C22×C8—111no—
397C22×C8—111no—
398C22×C8—222no—
399C22×C8—222no—
400C22×C8—441no—
401C22×C8—441no—
402C22×C8—441no—
403C22×C8—441no—
404C22×C8C22×D1111yescharacteristic
405C22×C8C22×D1111yescharacteristic
406C22×C8C22×D1111yescharacteristic
407C22×C8C22×D1111yescharacteristic
408C4×D4—222no—
409C4×D4—222no—
410#117—222no—
411#117—222no—
412C2×C4⋊C4—111no—
413C2×C4⋊C4—111no—
414C2×C4⋊C4—111no—
415C2×C4⋊C4—111no—
416C2×C4⋊C4—111no—
417C2×C4⋊C4—111no—
418C2×C4⋊C4—111no—
419C2×C22⋊C4—111no—
420C2×C22⋊C4—111no—
421C2×C22⋊C4—111no—
422C2×C22⋊C4—111no—
423C2×C22⋊C4—111no—
424C2×C22⋊C4—111no—
425C2×C22⋊C4—111no—
426C2×C22⋊C4—111no—
427C2×C22⋊C4C4×D1111yescharacteristic
428C2×C22⋊C4C4×D1111yescharacteristic
429C2×C42—111no—
430C2×C42—111no—
431C2×C42—111no—
432C2×C42C22×D1111yescharacteristic
433C2×C42C22×D1111yescharacteristic
434C4⋊C8—222no—
435C4⋊C8—222no—
436C4⋊C8—222no—
437C4⋊C8—222no—
438C4⋊C8—222no—
439C4⋊C8—441no—
440C4⋊C8—441no—
441C22⋊C8—22no—
442C22⋊C8—222no—
443C22⋊C8—222no—
444C22⋊C8—441no—
445C22⋊C8—441no—
446#97—41no—
447#97—222no—
448C4×C8—41no—
449#95—111no—
450#95—111no—
451#95—111no—
452#95—111no—
453#95—111no—
454#95—111no—
455#95—111no—
456#95—111no—
457#95C4×D1111yescharacteristic
458#95C4×D1111yescharacteristic
459C2×C11—42no—
460C2×C11#232211yescharacteristic
461C2×C11#293311yescharacteristic
462C2×C11#293511yescharacteristic
463C2×C11#299211yescharacteristic
464C2×C11#299211yescharacteristic
465C2×C11#299411yescharacteristic
466C2×C11#299511yescharacteristic
467D11—42no—
468C24—111no—
469C24C2×C4×D1111yescharacteristic
470C2×D4—222no—
471C2×D4—222no—
472C2×D4—441no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—111no—
478C22×C4—111no—
479C22×C4—111no—
480C22×C4—111no—
481C22×C4—111no—
482C22×C4—111no—
483C22×C4—111no—
484C22×C4—221no—
485C22×C4—221no—
486C22×C4—221no—
487C22×C4—221no—
488C22×C4—221no—
489C22×C4—221no—
490C22×C4C2×C4×D1111yescharacteristic
491C22×C4C2×C4×D1111yescharacteristic
492C22×C4C2×C4×D1111yescharacteristic
493C22×C4C2×C4×D1111yescharacteristic
494C22×C4C2×C4×D1111yescharacteristic
495C22×C4C2×D4412yes—
496C22×C4#433912yes—
497C22×C4C23×D1111yescharacteristic
498M16—44no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—221no—
510C2×C8—221no—
511C2×C8—221no—
512C2×C8—221no—
513C2×C8—221no—
514C2×C8—221no—
515C2×C8—221no—
516C2×C8—221no—
517C2×C8—221no—
518C2×C8—221no—
519C2×C8—221no—
520C2×C8—221no—
521C2×C8—444no—
522C2×C8—444no—
523C2×C8C2×D4412yes—
524C2×C8C2×D4412yes—
525C4⋊C4—222no—
526C4⋊C4—222no—
527C4⋊C4—222no—
528C4⋊C4—222no—
529C4⋊C4—441no—
530C4⋊C4—441no—
531C4⋊C4—441no—
532C22⋊C4—22no—
533C22⋊C4—41no—
534C22⋊C4—222no—
535C22⋊C4—222no—
536C22⋊C4—222no—
537C22⋊C4—222no—
538C22⋊C4—222no—
539C22⋊C4—222no—
540C22⋊C4—222no—
541C22⋊C4—441no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—221no—
547C42—221no—
548C42—221no—
549C42—221no—
550C42—221no—
551C42—221no—
552C11#2207211yescharacteristic, complemented, Sylow
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—112no—
560C23—221no—
561C23—221no—
562C23—221no—
563C23—221no—
564C23—221no—
565C23—221no—
566C23C4×D4412yes—
567C23C22×C4×D1111yescharacteristic
568D4—444no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—221no—
587C2×C4—221no—
588C2×C4—221no—
589C2×C4—221no—
590C2×C4—221no—
591C2×C4—221no—
592C2×C4—221no—
593C2×C4—221no—
594C2×C4—221no—
595C2×C4—221no—
596C2×C4—221no—
597C2×C4—221no—
598C2×C4—221no—
599C2×C4—221no—
600C2×C4—221no—
601C2×C4—221no—
602C2×C4—221no—
603C2×C4—221no—
604C2×C4—221no—
605C2×C4—221no—
606C2×C4—221no—
607C2×C4—441no—
608C2×C4—441no—
609C2×C4—441no—
610C2×C4—441no—
611C2×C4C4×D4412yes—
612C2×C4#6696012yes—
613C2×C4C22×D4411yescharacteristic
614C2×C4C2×#433911yescharacteristic
615C2×C4#6703711yescharacteristic
616C2×C4#6703711yescharacteristic
617C2×C4#6704311yescharacteristic
618C2×C4#6704311yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C8—441no—
624C8—441no—
625C8—441no—
626C8—441no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—222no—
635C22—222no—
636C22—222no—
637C22—441no—
638C22—441no—
639C22—441no—
640C22—441no—
641C22C2×C4×D4411yescharacteristic
642C22#1062307711yescharacteristic
643C22#1062307711yescharacteristic
644C22C2×#6696011yescharacteristic
645C22#1062327611yescharacteristic
646C22D11×#13111yescharacteristic
647C22#1062328111yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—441no—
654C4—441no—
655C4—441no—
656C4—441no—
657C4—441no—
658C4—441no—
659C4—441no—
660C4#1062302411yescharacteristic
661C4#1062305711yescharacteristic
662C4#1062309511yescharacteristic
663C4#1062309511yescharacteristic
664C2—42no—
665C2—442no—
666C2#1307128711yescharacteristic
667C2#1307734411yescharacteristic
668C2#1307736211yescharacteristic
669C2#1307775111yescharacteristic
670C2#1307775611yescharacteristic
671C2#1307777711yescharacteristic
672C2#1307778011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#1753C2
prime radicalC22×C22⋊D11C2×C4
cosocleC22×C4×C11C24
hypercenter#1753D11
hypocenterC11#22072
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
2. C2×#10622732C2semidirect
4. #13069339C2semidirect
5. #13069334C2semidirect
6. #13069229C2semidirect
7. #13069222C2semidirect
8. #13069181C2semidirect
9. #13069181C2semidirect
11. #13068796C2semidirect
12. #13068795C2semidirect
13. #13068795C2semidirect
14. #13068685C2semidirect
15. C11×#1753C2semidirect
231. #1753D11semidirect
552. C11#22072semidirect

Maximal subgroups

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

subgroupindex
C2×#106227402
C2×#106227322
#130718762
#130693392
#130693342
#130692292
#130692222
#130691812
#130689062
#130687962
#130687952
#130686852
C11×#17532
#2207211