Finite Group Databasebeta

← #14926405

Subgroups — #14926405

Order 2816.

4082 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
3#13076902C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13076894C211yesmaximal, characteristic, complemented
6#13076892C211yesmaximal, characteristic, complemented
7#13074425C211yesmaximal, characteristic, complemented
8#13074394C211yesmaximal, characteristic, complemented
9#13074393C211yesmaximal, characteristic, complemented
10#13074354C211yesmaximal, characteristic, complemented
11#13072868C212yesmaximal, complemented
12#13072866C212yesmaximal, complemented
13#13072748C212yesmaximal, complemented
14#13072746C212yesmaximal, complemented
15#13072159C212yesmaximal, complemented
16#13072151C212yesmaximal, complemented
17#13072085C212yesmaximal, complemented
18#13072077C212yesmaximal, complemented
19#13071274C211yesmaximal, characteristic, complemented
20#13071211C211yesmaximal, characteristic, complemented
21C4×#66935C211yesmaximal, characteristic, complemented
22C4×#66990C211yesmaximal, characteristic, complemented
23C11×#2321C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C23×C4×D11C2211yescharacteristic
26C23×C4×D11C2211yescharacteristic
27C2×C11×#120C2211yescharacteristic
28C2×C4×D4×C11C2211yescharacteristic, complemented
29C22×C11×C22⋊C4C2211yescharacteristic
30C2×#67006C2211yescharacteristic
31C22×C22⋊Dic11C2211yescharacteristic
32C2×#66992C2211yescharacteristic, complemented
33C2×#66990C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66990C2212yes—
36C2×#66990C2212yes—
37C2×#66983C2211yescharacteristic, complemented
38C2×#66982C2211yescharacteristic, complemented
39C2×C4×C22⋊D11C2212yescomplemented
40C2×C4×C22⋊D11C2211yescharacteristic, complemented
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43#10623091—28no—
44C2×#66951C2211yescharacteristic, complemented
45C2×#66949C2212yescomplemented
46C2×#66947C2211yescharacteristic, complemented
47C2×#66938C2211yescharacteristic, complemented
48C2×#66937C2211yescharacteristic, complemented
49C2×#66937C2212yescomplemented
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2212yes—
53C2×#66935C2212yes—
54C2×C22⋊C4×D11—28no—
55C2×C22⋊C4×D11C2212yes—
56C2×C22⋊C4×D11C2212yes—
57C2×C22⋊C4×D11C2212yes—
58C2×C22⋊C4×D11C2212yes—
59C2×#66931C2211yescharacteristic, complemented
60C2×#66929C2211yescharacteristic, complemented
61C2×#66928C2211yescharacteristic, complemented
62C2×C4×D44C2212yescomplemented
63C11×#390C2212yescomplemented
64C11×#388C2212yescomplemented
65C11×#388C2212yescomplemented
66C11×#386C2212yescomplemented
67C11×#386C2211yescharacteristic, complemented
68C11×#385C2211yescharacteristic, complemented
69C11×#379C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic, complemented
71#10622860C2211yescharacteristic
72#10622836C2212yescomplemented
73#10622835C2212yescomplemented
74#10622833C2211yescharacteristic, complemented
75#10622826C2211yescharacteristic, complemented
76#10622823C2211yescharacteristic, complemented
77C4×C22⋊Dic11C2211yescharacteristic, complemented
78#10622606C2212yescomplemented
79#10622604C2212yescomplemented
80#10622602C2212yescomplemented
81#10622602C2212yescomplemented
82#10622574C2212yescomplemented
83#10622572C2212yescomplemented
84#10622572C2212yescomplemented
85#10622571C2211yescharacteristic, complemented
86#10622570C2212yescomplemented
87#10622569C2212yescomplemented
88#10622569C2212yescomplemented
89#10622569C2212yescomplemented
90#10622568C2211yescharacteristic
91#10622568C2211yescharacteristic
92#10622568C2212yes—
93#10622568C2211yescharacteristic
94#10622568C2211yescharacteristic
95#10622568C2212yes—
96#10622568C2212yes—
97#10622568C2212yes—
98#10622565C2212yescomplemented
99#10622563C2211yescharacteristic, complemented
100#10622562C2212yescomplemented
101#10622561C2212yescomplemented
102#10622561C2212yescomplemented
103#10622560C2212yescomplemented
104#10622559C2211yescharacteristic, complemented
105#10622558C2212yescomplemented
106#10622557C2212yescomplemented
107#10622555C2211yescharacteristic, complemented
108#10622555C2211yescharacteristic, complemented
109#10622553C2212yescomplemented
110#10622553C2212yescomplemented
111C4×(C2×D11)⋊C4C2212yescomplemented
112C4×(C2×D11)⋊C4C2212yescomplemented
113#10622288C2212yescomplemented
114#10622288C2212yescomplemented
115#10622287C2212yescomplemented
116#10622285C2212yescomplemented
117#10622282C2212yescomplemented
118#10622282C2212yescomplemented
119#10622281C2212yescomplemented
120#10622281C2212yescomplemented
121#10622280C2212yescomplemented
122#10622280C2212yescomplemented
123#10622278C2212yescomplemented
124#10622278C2212yescomplemented
125C25×C11C2311yescharacteristic
126C24×D11—24no—
127C24×D11—24no—
128C24×D11—24no—
129C24×D11—44no—
130C24×D11—44no—
131C24×D11C2311yescharacteristic
132C24×D11C2312yes—
133C24×D11C2312yes—
134C24×D11C2311yescharacteristic
135C22×D4×C11C2311yescharacteristic
136C22×D4×C11C2312yes—
137C23×C4×C11C2311yescharacteristic
138C23×C4×C11C2311yescharacteristic
139C23×C4×C11C2311yescharacteristic, complemented
140C22×C22⋊D11C2311yescharacteristic
141C22×C22⋊D11C2312yes—
142C22×C22⋊D11C2312yes—
143C22×C22⋊D11C2311yescharacteristic
144C22×C22⋊D11C2311yescharacteristic
145C22×C22⋊D11C2311yescharacteristic, complemented
146C23×Dic11C2311yescharacteristic
147C23×Dic11C2311yescharacteristic
148C22×D44C2312yes—
149C22×D44C2311yescharacteristic
150C22×D44C2311yescharacteristic
151C22×C4×D11—24no—
152C22×C4×D11—24no—
153C22×C4×D11—44no—
154C22×C4×D11—44no—
155C22×C4×D11C2312yes—
156C22×C4×D11C2312yes—
157C22×C4×D11C2312yes—
158C22×C4×D11C2312yes—
159C22×C4×D11C2311yescharacteristic, complemented
160C22×Dic22C2311yescharacteristic, complemented
161C11×#120—24no—
162C4×D4×C11—24no—
163C2×C11×C4⋊C4C2311yescharacteristic, complemented
164C2×C11×C4⋊C4C2312yescomplemented
165C2×C11×C22⋊C4—24no—
166C2×C11×C22⋊C4C2311yescharacteristic
167C2×C11×C22⋊C4C2312yes—
168C2×C11×C22⋊C4C2312yes—
169C2×C11×C22⋊C4C2311yescharacteristic
170C2×C11×C22⋊C4C2311yescharacteristic
171C2×C11×C22⋊C4C2312yes—
172C2×C11×C22⋊C4C2312yes—
173C2×C11×C22⋊C4C2312yes—
174C2×C11×C22⋊C4C2311yescharacteristic, complemented
175C2×C11×C22⋊C4C2312yescomplemented
176C2×C42×C11C2311yescharacteristic, complemented
177C2×C42×C11C2312yescomplemented
178#67006—24no—
179C2×C22⋊Dic11—24no—
180C2×C22⋊Dic11C2311yescharacteristic
181C2×C22⋊Dic11C2312yes—
182C2×C22⋊Dic11C2312yes—
183C2×C22⋊Dic11C2311yescharacteristic
184C2×C22⋊Dic11C2311yescharacteristic
185C2×C22⋊Dic11C2312yes—
186C2×C22⋊Dic11C2312yes—
187C2×C22⋊Dic11C2312yes—
188C2×C22⋊Dic11C2311yescharacteristic, complemented
189C2×C22⋊Dic11C2312yescomplemented
190#66992—24no—
191#66990—24no—
192#66990—24no—
193#66990—44no—
194#66990—44no—
195#66983—24no—
196#66982—24no—
197C4×C22⋊D11—24no—
198C4×C22⋊D11—44no—
199C2×(C2×D11)⋊C4—24no—
200C2×(C2×D11)⋊C4D418yescomplemented
201C2×(C2×D11)⋊C4C2312yes—
202C2×(C2×D11)⋊C4C2311yescharacteristic
203C2×(C2×D11)⋊C4C2311yescharacteristic
204C2×(C2×D11)⋊C4C2311yescharacteristic
205C2×(C2×D11)⋊C4C2312yes—
206C2×(C2×D11)⋊C4C2312yes—
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2311yescharacteristic
209C2×(C2×D11)⋊C4C2312yes—
210C2×(C2×D11)⋊C4C2312yes—
211C2×(C2×D11)⋊C4C2312yes—
212C2×(C2×D11)⋊C4C2312yes—
213C2×(C2×D11)⋊C4C2312yes—
214C2×(C2×D11)⋊C4C2312yes—
215C2×(C2×D11)⋊C4C2312yes—
216C2×(C2×D11)⋊C4C2312yes—
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
222C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
223C2×(C2×D11)⋊C4C2312yescomplemented
224C2×(C2×D11)⋊C4C2312yescomplemented
225C2×C4⋊Dic11C2311yescharacteristic, complemented
226C2×C4⋊Dic11C2312yescomplemented
227C2×Dic11⋊C4C2311yescharacteristic, complemented
228C2×Dic11⋊C4C2311yescharacteristic, complemented
229C2×Dic11⋊C4C2311yescharacteristic, complemented
230C2×Dic11⋊C4C2311yescharacteristic, complemented
231C2×Dic11⋊C4C2312yescomplemented
232C2×Dic11⋊C4C2312yescomplemented
233C2×Dic11⋊C4C2312yescomplemented
234C2×Dic11⋊C4C2312yescomplemented
235C2×C4×Dic11C2311yescharacteristic, complemented
236C2×C4×Dic11C2312yescomplemented
237#66951—24no—
238#66949—44no—
239#66947—24no—
240#66938—24no—
241#66937—24no—
242#66937—44no—
243#66935—24no—
244#66935—24no—
245#66935—44no—
246#66935—44no—
247C22⋊C4×D11—28no—
248C22⋊C4×D11—28no—
249C22⋊C4×D11—28no—
250C22⋊C4×D11—28no—
251#66931—24no—
252#66929—24no—
253#66928—24no—
254C4×D44—44no—
255C11×#95C2312yescomplemented
256C11×#95C2312yescomplemented
257C11×#95C2312yescomplemented
258C11⋊#95C2312yescomplemented
259C11⋊#95C2312yescomplemented
260C11⋊#95C2312yescomplemented
261C11⋊#95C2312yescomplemented
262C11⋊#95C2312yescomplemented
263C11⋊#95C2312yescomplemented
264C11⋊#95C2312yescomplemented
265C11⋊#95C2312yescomplemented
266C11⋊#95C2312yescomplemented
267#34988—111nomaximal, Sylow
268C24×C11—22no—
269C24×C11—22no—
270C24×C11—42no—
271C24×C11—42no—
272C24×C11#4114yes—
273C24×C11C2411yescharacteristic
274C24×C11C2412yes—
275C24×C11C2411yescharacteristic
276C23×D11—22no—
277C23×D11—22no—
278C23×D11—24no—
279C23×D11—24no—
280C23×D11—232no—
281C23×D11—24no—
282C23×D11—24no—
283C23×D11—22no—
284C23×D11—22no—
285C23×D11—24no—
286C23×D11—24no—
287C23×D11—24no—
288C23×D11—24no—
289C23×D11—24no—
290C23×D11—24no—
291C23×D11—24no—
292C23×D11—24no—
293C23×D11—42no—
294C23×D11—42no—
295C23×D11—42no—
296C23×D11—42no—
297C23×D11—42no—
298C23×D11—42no—
299C23×D11—416no—
300C23×D11—416no—
301C23×D11—432no—
302C23×D11—432no—
303C23×D11C2×D414yes—
304C23×D11#4114yes—
305C23×D11C2411yescharacteristic
306C23×D11C2411yescharacteristic
307C23×D11C2411yescharacteristic
308C23×D11C2412yes—
309C2×D4×C11—22no—
310C2×D4×C11—22no—
311C2×D4×C11—22no—
312C2×D4×C11—24no—
313C2×D4×C11—42no—
314C2×D4×C11—42no—
315C22×C4×C11—22no—
316C22×C4×C11—22no—
317C22×C4×C11—42no—
318C22×C4×C11—42no—
319C22×C4×C11—42no—
320C22×C4×C11C2×D414yes—
321C22×C4×C11C2412yes—
322C22×C4×C11C2411yescharacteristic
323C22×C4×C11C2412yes—
324C22×C4×C11C2412yes—
325C22×C4×C11C2411yescharacteristic
326C22×C4×C11C2411yescharacteristic
327C22×C4×C11C2411yescharacteristic
328C22×C4×C11C2411yescharacteristic
329C2×C22⋊D11—22no—
330C2×C22⋊D11—22no—
331C2×C22⋊D11—22no—
332C2×C22⋊D11—22no—
333C2×C22⋊D11—24no—
334C2×C22⋊D11—22no—
335C2×C22⋊D11—22no—
336C2×C22⋊D11—24no—
337C2×C22⋊D11—24no—
338C2×C22⋊D11—24no—
339C2×C22⋊D11—42no—
340C2×C22⋊D11—42no—
341C2×C22⋊D11—42no—
342C2×C22⋊D11—42no—
343C2×C22⋊D11—42no—
344C22×Dic11—22no—
345C22×Dic11—42no—
346C22×Dic11—42no—
347C22×Dic11C2×D414yes—
348C22×Dic11C2411yescharacteristic
349C22×Dic11C2412yes—
350C22×Dic11C2412yes—
351C22×Dic11C2412yes—
352C22×Dic11C2411yescharacteristic
353C22×Dic11C2411yescharacteristic
354C22×Dic11C2411yescharacteristic
355C22×Dic11C2411yescharacteristic
356C2×D44—22no—
357C2×D44—22no—
358C2×D44—24no—
359C2×D44—24no—
360C2×D44—24no—
361C2×D44—42no—
362C2×D44—42no—
363C2×C4×D11—24no—
364C2×C4×D11—24no—
365C2×C4×D11—24no—
366C2×C4×D11—24no—
367C2×C4×D11—24no—
368C2×C4×D11—24no—
369C2×C4×D11—24no—
370C2×C4×D11—24no—
371C2×C4×D11—22no—
372C2×C4×D11—42no—
373C2×C4×D11—42no—
374C2×C4×D11—42no—
375C2×C4×D11—42no—
376C2×C4×D11—42no—
377C2×C4×D11—416no—
378C2×C4×D11—416no—
379C2×Dic22—22no—
380C2×Dic22—42no—
381C11×C4⋊C4—22no—
382C11×C4⋊C4—42no—
383C11×C22⋊C4—22no—
384C11×C22⋊C4—22no—
385C11×C22⋊C4—24no—
386C11×C22⋊C4—22no—
387C11×C22⋊C4—24no—
388C11×C22⋊C4—24no—
389C11×C22⋊C4—22no—
390C11×C22⋊C4—42no—
391C11×C22⋊C4—42no—
392C11×C22⋊C4—42no—
393C42×C11—22no—
394C42×C11—42no—
395C22⋊Dic11—24no—
396C22⋊Dic11—24no—
397C22⋊Dic11—22no—
398C22⋊Dic11—22no—
399C22⋊Dic11—22no—
400C22⋊Dic11—24no—
401C22⋊Dic11—22no—
402C22⋊Dic11—42no—
403C22⋊Dic11—42no—
404C22⋊Dic11—42no—
405(C2×D11)⋊C4—22no—
406(C2×D11)⋊C4—22no—
407(C2×D11)⋊C4—22no—
408(C2×D11)⋊C4—22no—
409(C2×D11)⋊C4—24no—
410(C2×D11)⋊C4—24no—
411(C2×D11)⋊C4—22no—
412(C2×D11)⋊C4—24no—
413(C2×D11)⋊C4—24no—
414(C2×D11)⋊C4—24no—
415(C2×D11)⋊C4—24no—
416(C2×D11)⋊C4—24no—
417(C2×D11)⋊C4—24no—
418(C2×D11)⋊C4—22no—
419(C2×D11)⋊C4—42no—
420(C2×D11)⋊C4—42no—
421(C2×D11)⋊C4—42no—
422(C2×D11)⋊C4—42no—
423(C2×D11)⋊C4—42no—
424(C2×D11)⋊C4—42no—
425(C2×D11)⋊C4C2×D414yes—
426(C2×D11)⋊C4C2×D414yes—
427(C2×D11)⋊C4C2×D414yes—
428(C2×D11)⋊C4C2×D414yes—
429C4⋊Dic11—22no—
430C4⋊Dic11—42no—
431Dic11⋊C4—22no—
432Dic11⋊C4—22no—
433Dic11⋊C4—22no—
434Dic11⋊C4—22no—
435Dic11⋊C4—42no—
436Dic11⋊C4—42no—
437Dic11⋊C4—42no—
438Dic11⋊C4—42no—
439C4×Dic11—22no—
440C4×Dic11—42no—
441C2×#538—111no—
442C23×C22⋊C4—111no—
443#2848—111no—
444#2847—111no—
445#2846—111no—
446#2846—111no—
447#2626—111no—
448#2622—111no—
449#2622—111no—
450#2617—111no—
451#2480—112no—
452#2480—112no—
453#2472—112no—
454#2472—112no—
455#2424—112no—
456#2424—112no—
457#2418—112no—
458#2418—112no—
459#2321—111no—
460#2321D1111yescharacteristic, complemented
461#2312—111no—
462C4×#120—111no—
463C4×#120—111no—
464C23×C11—22no—
465C23×C11—22no—
466C23×C11—28no—
467C23×C11—22no—
468C23×C11—22no—
469C23×C11—22no—
470C23×C11—22no—
471C23×C11—22no—
472C23×C11—22no—
473C23×C11—21no—
474C23×C11—21no—
475C23×C11—21no—
476C23×C11—22no—
477C23×C11—22no—
478C23×C11—48no—
479C23×C11—48no—
480C23×C11—44no—
481C23×C11—44no—
482C23×C11C22×D412yes—
483C23×C11C2×#4114yes—
484C23×C11C2×#4112yes—
485C23×C11C2×#4112yes—
486C23×C11C2511yescharacteristic
487C22×D11—28no—
488C22×D11—28no—
489C22×D11—216no—
490C22×D11—28no—
491C22×D11—22no—
492C22×D11—22no—
493C22×D11—22no—
494C22×D11—22no—
495C22×D11—216no—
496C22×D11—216no—
497C22×D11—216no—
498C22×D11—28no—
499C22×D11—21no—
500C22×D11—21no—
501C22×D11—21no—
502C22×D11—21no—
503C22×D11—22no—
504C22×D11—22no—
505C22×D11—22no—
506C22×D11—22no—
507C22×D11—21no—
508C22×D11—21no—
509C22×D11—21no—
510C22×D11—22no—
511C22×D11—22no—
512C22×D11—44no—
513C22×D11—44no—
514C22×D11—48no—
515C22×D11—48no—
516C22×D11—48no—
517C22×D11—48no—
518C22×D11—48no—
519C22×D11—48no—
520C22×D11—48no—
521C22×D11—48no—
522C22×D11—4128no—
523C22×D11—48no—
524C22×D11—48no—
525C22×D11—48no—
526C22×D11—48no—
527C22×D11—48no—
528C22×D11—48no—
529C22×D11C22×D412yes—
530C22×D11C22×D412yes—
531C22×D11C2×#4114yes—
532C22×D11H(5,𝔽2)14yes—
533C22×D11H(5,𝔽2)14yes—
534D4×C11—44no—
535D4×C11—84no—
536C2×C4×C11—22no—
537C2×C4×C11—22no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—22no—
542C2×C4×C11—21no—
543C2×C4×C11—22no—
544C2×C4×C11—21no—
545C2×C4×C11—22no—
546C2×C4×C11—22no—
547C2×C4×C11—22no—
548C2×C4×C11—22no—
549C2×C4×C11—22no—
550C2×C4×C11—22no—
551C2×C4×C11—22no—
552C2×C4×C11—22no—
553C2×C4×C11—22no—
554C2×C4×C11—44no—
555C2×C4×C11—44no—
556C2×C4×C11—82no—
557C2×C4×C11C22×D412yes—
558C2×C4×C11C22×D412yes—
559C22⋊D11—44no—
560C22⋊D11—48no—
561C22⋊D11—82no—
562C22⋊D11—82no—
563C22⋊D11—82no—
564C22⋊D11—84no—
565C2×Dic11—22no—
566C2×Dic11—22no—
567C2×Dic11—21no—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—22no—
571C2×Dic11—21no—
572C2×Dic11—22no—
573C2×Dic11—21no—
574C2×Dic11—22no—
575C2×Dic11—22no—
576C2×Dic11—22no—
577C2×Dic11—22no—
578C2×Dic11—22no—
579C2×Dic11—22no—
580C2×Dic11—22no—
581C2×Dic11—22no—
582C2×Dic11—22no—
583C2×Dic11—44no—
584C2×Dic11—44no—
585C2×Dic11C22×D412yes—
586C2×Dic11C22×D412yes—
587D44—48no—
588D44—82no—
589D44—82no—
590C4×D11—48no—
591C4×D11—48no—
592C4×D11—48no—
593C4×D11—48no—
594C4×D11—82no—
595Dic22—82no—
596C26—111no—
597C24×C4—111no—
598C24×C4—111no—
599#538—228no—
600C2×#126—111no—
601C2×#126—111no—
602C2×#124—111no—
603C2×#124—111no—
604C2×#123—111no—
605C2×#123—111no—
606C2×C22⋊Q8—112no—
607C2×C22⋊Q8—111no—
608C2×#121—111no—
609C2×#121—111no—
610C2×#121—111no—
611C2×#121—112no—
612C2×#120—111no—
613C2×#120—111no—
614C2×#120—111no—
615C2×#120—112no—
616C2×#120—112no—
617C2×#120—111no—
618C2×#120—111no—
619C2×#120—112no—
620C2×#120—112no—
621C2×#120C2×D1111yescharacteristic
622C2×C4×D4—111no—
623C2×C4×D4—112no—
624C2×C4×D4—112no—
625C2×C4×D4C2×D1111yescharacteristic, complemented
626C22×C22⋊C4—111no—
627C22×C22⋊C4—111no—
628C22×C22⋊C4—111no—
629C22×C22⋊C4—112no—
630C22×C22⋊C4—112no—
631C22×C22⋊C4—112no—
632C22×C22⋊C4—112no—
633C22×C22⋊C4—228no—
634C22×C22⋊C4C2×D1111yescharacteristic
635#399—112no—
636#397—112no—
637#397—112no—
638#397—112no—
639#397—112no—
640#397—112no—
641#396—112no—
642#396—112no—
643#394—112no—
644#394—112no—
645#394—112no—
646#394—112no—
647#394—112no—
648#394—112no—
649#393—112no—
650#392—112no—
651#390—112no—
652#390C2×D1112yescomplemented
653#388—112no—
654#388—112no—
655#388—112no—
656#388—112no—
657#388—112no—
658#388—112no—
659#388C2×D1112yescomplemented
660#388C2×D1112yescomplemented
661#386—111no—
662#386—111no—
663#386—112no—
664#386—111no—
665#386—112no—
666#386—112no—
667#386—112no—
668#386—112no—
669#386C2×D1112yescomplemented
670#386C2×D1111yescharacteristic, complemented
671#385—111no—
672#385—112no—
673#385—112no—
674#385—111no—
675#385—111no—
676#385—112no—
677#385—112no—
678#385C2×D1111yescharacteristic, complemented
679#380—111no—
680#380—111no—
681#380—112no—
682#380—112no—
683#379—111no—
684#379—111no—
685#379—111no—
686#379—111no—
687#379—111no—
688#379—112no—
689#379—112no—
690#379—112no—
691#379—112no—
692#379C2×D1111yescharacteristic
693C4×C22⋊C4—111no—
694C4×C22⋊C4—112no—
695C4×C22⋊C4—112no—
696C4×C22⋊C4C2×D1111yescharacteristic, complemented
697C22×C11—24no—
698C22×C11—22no—
699C22×C11—22no—
700C22×C11—24no—
701C22×C11—24no—
702C22×C11—24no—
703C22×C11—24no—
704C22×C11—416no—
705C22×C11—42no—
706C22×C11—42no—
707C22×C11—42no—
708C22×C11—42no—
709C22×C11—41no—
710C22×C11—42no—
711C22×C11—41no—
712C22×C11—41no—
713C22×C11—42no—
714C22×C11#52514yes—
715C22×C11C23×D411yescharacteristic
716C22×C11C22×#4111yescharacteristic
717C22×C11C22×#4111yescharacteristic
718C22×C11C2×H(5,𝔽2)12yes—
719C22×C11C2×H(5,𝔽2)12yes—
720C2×D11—232no—
721C2×D11—24no—
722C2×D11—24no—
723C2×D11—24no—
724C2×D11—24no—
725C2×D11—24no—
726C2×D11—24no—
727C2×D11—22no—
728C2×D11—22no—
729C2×D11—22no—
730C2×D11—22no—
731C2×D11—22no—
732C2×D11—22no—
733C2×D11—432no—
734C2×D11—432no—
735C2×D11—416no—
736C2×D11—42no—
737C2×D11—42no—
738C2×D11—42no—
739C2×D11—42no—
740C2×D11—41no—
741C2×D11—42no—
742C2×D11—41no—
743C2×D11—41no—
744C2×D11—42no—
745C2×D11#53818yescomplemented
746C4×C11—22no—
747C4×C11—22no—
748C4×C11—41no—
749C4×C11—42no—
750C4×C11—42no—
751C4×C11—41no—
752C4×C11—41no—
753C4×C11—42no—
754Dic11—22no—
755Dic11—22no—
756Dic11—41no—
757Dic11—42no—
758Dic11—41no—
759Dic11—42no—
760Dic11—41no—
761Dic11—42no—
762C25—111no—
763C25—111no—
764C25—112no—
765C25—112no—
766C25—224no—
767C25—224no—
768C25—224no—
769C25—444no—
770C25—444no—
771C25C22×D1111yescharacteristic
772C22×Q8—111no—
773C22×D4—112no—
774C22×D4—111no—
775C22×D4—111no—
776C22×D4—111no—
777C22×D4—112no—
778C22×D4—111no—
779C22×D4—112no—
780C22×D4—111no—
781C22×D4—111no—
782C22×D4C22×D1111yescharacteristic
783C22×D4C22×D1112yes—
784C23×C4—111no—
785C23×C4—111no—
786C23×C4—112no—
787C23×C4—112no—
788C23×C4—112no—
789C23×C4—112no—
790C23×C4—111no—
791C23×C4—224no—
792C23×C4—224no—
793C23×C4—444no—
794C23×C4—444no—
795C23×C4C22×D1111yescharacteristic
796C23×C4C22×D1111yescharacteristic
797C23×C4C22×D1111yescharacteristic, complemented
798#126—224no—
799#126—224no—
800#124—224no—
801#124—224no—
802#123—224no—
803#123—224no—
804C22⋊Q8—224no—
805C22⋊Q8—444no—
806#121—224no—
807#121—224no—
808#121—224no—
809#121—444no—
810#120—24no—
811#120—224no—
812#120—224no—
813#120—224no—
814#120—224no—
815#120—224no—
816#120—444no—
817#120—444no—
818#120—444no—
819#120—444no—
820C4×D4—24no—
821C4×D4—224no—
822C4×D4—444no—
823C4×D4—444no—
824C2×C4⋊C4—111no—
825C2×C4⋊C4—111no—
826C2×C4⋊C4—111no—
827C2×C4⋊C4—111no—
828C2×C4⋊C4—111no—
829C2×C4⋊C4—112no—
830C2×C4⋊C4—112no—
831C2×C4⋊C4—112no—
832C2×C4⋊C4—112no—
833C2×C4⋊C4—112no—
834C2×C4⋊C4C22×D1111yescharacteristic, complemented
835C2×C4⋊C4C22×D1112yescomplemented
836C2×C22⋊C4—24no—
837C2×C22⋊C4—118no—
838C2×C22⋊C4—111no—
839C2×C22⋊C4—111no—
840C2×C22⋊C4—111no—
841C2×C22⋊C4—111no—
842C2×C22⋊C4—112no—
843C2×C22⋊C4—112no—
844C2×C22⋊C4—111no—
845C2×C22⋊C4—111no—
846C2×C22⋊C4—111no—
847C2×C22⋊C4—112no—
848C2×C22⋊C4—111no—
849C2×C22⋊C4—112no—
850C2×C22⋊C4—112no—
851C2×C22⋊C4—112no—
852C2×C22⋊C4—112no—
853C2×C22⋊C4—111no—
854C2×C22⋊C4—112no—
855C2×C22⋊C4—112no—
856C2×C22⋊C4—111no—
857C2×C22⋊C4—111no—
858C2×C22⋊C4—111no—
859C2×C22⋊C4—111no—
860C2×C22⋊C4—112no—
861C2×C22⋊C4—112no—
862C2×C22⋊C4—111no—
863C2×C22⋊C4—112no—
864C2×C22⋊C4—112no—
865C2×C22⋊C4—112no—
866C2×C22⋊C4—112no—
867C2×C22⋊C4—112no—
868C2×C22⋊C4—112no—
869C2×C22⋊C4—112no—
870C2×C22⋊C4—112no—
871C2×C22⋊C4—112no—
872C2×C22⋊C4—228no—
873C2×C22⋊C4—228no—
874C2×C22⋊C4—228no—
875C2×C22⋊C4—228no—
876C2×C22⋊C4—224no—
877C2×C22⋊C4—224no—
878C2×C22⋊C4C22×D1112yes—
879C2×C22⋊C4C22×D1112yes—
880C2×C22⋊C4C22×D1111yescharacteristic
881C2×C22⋊C4C22×D1111yescharacteristic
882C2×C22⋊C4C22×D1111yescharacteristic
883C2×C22⋊C4C22×D1112yes—
884C2×C22⋊C4C22×D1112yes—
885C2×C22⋊C4C22×D1112yes—
886C2×C22⋊C4C22×D1111yescharacteristic, complemented
887C2×C22⋊C4C22×D1112yescomplemented
888C2×C42—111no—
889C2×C42—112no—
890C2×C42C22×D1111yescharacteristic, complemented
891C2×C42C22×D1112yescomplemented
892#95—112no—
893#95—112no—
894#95—112no—
895#95—112no—
896#95—112no—
897#95—112no—
898#95—112no—
899#95—112no—
900#95—112no—
901#95C22×D1112yescomplemented
902#95C22×D1112yescomplemented
903#95C22×D1112yescomplemented
904C2×C11—24no—
905C2×C11—44no—
906C2×C11—81no—
907C2×C11C2×#52511yescharacteristic
908C2×C11C2×#53812yes—
909C2×C11#348411yescharacteristic
910C2×C11#348411yescharacteristic
911C2×C11#349012yes—
912D11—28no—
913D11—42no—
914D11—42no—
915D11—81no—
916C24—22no—
917C24—22no—
918C24—42no—
919C24—42no—
920C24—112no—
921C24—114no—
922C24—111no—
923C24—111no—
924C24—114no—
925C24—111no—
926C24—224no—
927C24—224no—
928C24—224no—
929C24—224no—
930C24—224no—
931C24—224no—
932C24—224no—
933C24—224no—
934C24—224no—
935C24—224no—
936C24—2232no—
937C24—222no—
938C24—222no—
939C24—224no—
940C24—224no—
941C24—222no—
942C24—222no—
943C24—442no—
944C24—442no—
945C24—442no—
946C24—442no—
947C24—442no—
948C24—442no—
949C24—4432no—
950C24—4432no—
951C24—4416no—
952C24—4416no—
953C24#433914yes—
954C24C23×D1111yescharacteristic
955C24C23×D1112yes—
956C24C23×D1111yescharacteristic
957C2×Q8—222no—
958C2×Q8—442no—
959C2×D4—22no—
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—24no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—224no—
966C2×D4—224no—
967C2×D4—224no—
968C2×D4—222no—
969C2×D4—222no—
970C2×D4—222no—
971C2×D4—224no—
972C2×D4—224no—
973C2×D4—224no—
974C2×D4—222no—
975C2×D4—222no—
976C2×D4—222no—
977C2×D4—222no—
978C2×D4—222no—
979C2×D4—224no—
980C2×D4—442no—
981C2×D4—442no—
982C2×D4—442no—
983C2×D4—442no—
984C2×D4—442no—
985C2×D4—442no—
986C2×D4—442no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—111no—
993C22×C4—111no—
994C22×C4—114no—
995C22×C4—111no—
996C22×C4—112no—
997C22×C4—112no—
998C22×C4—112no—
999C22×C4—111no—
1000C22×C4—111no—
1001C22×C4—224no—
1002C22×C4—224no—
1003C22×C4—224no—
1004C22×C4—224no—
1005C22×C4—224no—
1006C22×C4—224no—
1007C22×C4—222no—
1008C22×C4—224no—
1009C22×C4—224no—
1010C22×C4—222no—
1011C22×C4—442no—
1012C22×C4—442no—
1013C22×C4—442no—
1014C22×C4—442no—
1015C22×C4—442no—
1016C22×C4—4416no—
1017C22×C4—4416no—
1018C22×C4—442no—
1019C22×C4—442no—
1020C22×C4D4×D1114yes—
1021C22×C4C23×D1111yescharacteristic
1022C22×C4C23×D1112yes—
1023C22×C4C23×D1112yes—
1024C22×C4C23×D1112yes—
1025C22×C4C23×D1111yescharacteristic
1026C22×C4C23×D1111yescharacteristic
1027C22×C4C23×D1111yescharacteristic
1028C22×C4C23×D1111yescharacteristic
1029C4⋊C4—22no—
1030C4⋊C4—42no—
1031C4⋊C4—222no—
1032C4⋊C4—222no—
1033C4⋊C4—222no—
1034C4⋊C4—222no—
1035C4⋊C4—222no—
1036C4⋊C4—442no—
1037C4⋊C4—442no—
1038C4⋊C4—442no—
1039C4⋊C4—442no—
1040C4⋊C4—442no—
1041C22⋊C4—24no—
1042C22⋊C4—22no—
1043C22⋊C4—22no—
1044C22⋊C4—22no—
1045C22⋊C4—24no—
1046C22⋊C4—24no—
1047C22⋊C4—22no—
1048C22⋊C4—42no—
1049C22⋊C4—42no—
1050C22⋊C4—42no—
1051C22⋊C4—114no—
1052C22⋊C4—114no—
1053C22⋊C4—114no—
1054C22⋊C4—114no—
1055C22⋊C4—222no—
1056C22⋊C4—224no—
1057C22⋊C4—224no—
1058C22⋊C4—224no—
1059C22⋊C4—224no—
1060C22⋊C4—222no—
1061C22⋊C4—222no—
1062C22⋊C4—222no—
1063C22⋊C4—222no—
1064C22⋊C4—224no—
1065C22⋊C4—224no—
1066C22⋊C4—224no—
1067C22⋊C4—224no—
1068C22⋊C4—224no—
1069C22⋊C4—224no—
1070C22⋊C4—222no—
1071C22⋊C4—224no—
1072C22⋊C4—222no—
1073C22⋊C4—222no—
1074C22⋊C4—222no—
1075C22⋊C4—222no—
1076C22⋊C4—442no—
1077C22⋊C4—442no—
1078C22⋊C4—442no—
1079C22⋊C4—442no—
1080C22⋊C4—442no—
1081C22⋊C4—442no—
1082C22⋊C4—442no—
1083C22⋊C4—442no—
1084C22⋊C4—442no—
1085C42—22no—
1086C42—42no—
1087C42—222no—
1088C42—442no—
1089C11#3498811yescharacteristic, complemented, Sylow
1090C23—22no—
1091C23—22no—
1092C23—28no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—21no—
1100C23—21no—
1101C23—21no—
1102C23—22no—
1103C23—22no—
1104C23—48no—
1105C23—48no—
1106C23—44no—
1107C23—44no—
1108C23—114no—
1109C23—114no—
1110C23—114no—
1111C23—112no—
1112C23—112no—
1113C23—2216no—
1114C23—228no—
1115C23—228no—
1116C23—2216no—
1117C23—2216no—
1118C23—2216no—
1119C23—228no—
1120C23—222no—
1121C23—222no—
1122C23—222no—
1123C23—222no—
1124C23—228no—
1125C23—221no—
1126C23—221no—
1127C23—221no—
1128C23—221no—
1129C23—222no—
1130C23—222no—
1131C23—222no—
1132C23—222no—
1133C23—221no—
1134C23—221no—
1135C23—221no—
1136C23—222no—
1137C23—222no—
1138C23—444no—
1139C23—444no—
1140C23—448no—
1141C23—448no—
1142C23—448no—
1143C23—448no—
1144C23—448no—
1145C23—448no—
1146C23—448no—
1147C23—448no—
1148C23—448no—
1149C23—448no—
1150C23—448no—
1151C23—448no—
1152C23—44128no—
1153C23—448no—
1154C23—448no—
1155C23C2×#433914yes—
1156C23C2×#433912yes—
1157C23C2×D4×D1112yes—
1158C23#41×D1112yes—
1159C23C24×D1111yescharacteristic
1160Q8—882no—
1161D4—44no—
1162D4—84no—
1163D4—448no—
1164D4—448no—
1165D4—444no—
1166D4—882no—
1167D4—882no—
1168D4—882no—
1169D4—884no—
1170D4—882no—
1171D4—882no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—21no—
1175C2×C4—22no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—22no—
1179C2×C4—21no—
1180C2×C4—22no—
1181C2×C4—21no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—44no—
1191C2×C4—44no—
1192C2×C4—82no—
1193C2×C4—112no—
1194C2×C4—112no—
1195C2×C4—222no—
1196C2×C4—222no—
1197C2×C4—221no—
1198C2×C4—222no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—222no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—222no—
1205C2×C4—222no—
1206C2×C4—222no—
1207C2×C4—222no—
1208C2×C4—222no—
1209C2×C4—222no—
1210C2×C4—222no—
1211C2×C4—222no—
1212C2×C4—222no—
1213C2×C4—448no—
1214C2×C4—448no—
1215C2×C4—448no—
1216C2×C4—448no—
1217C2×C4—444no—
1218C2×C4—444no—
1219C2×C4—882no—
1220C2×C4C2×D4×D1112yes—
1221C2×C4C2×D4×D1112yes—
1222C22—24no—
1223C22—22no—
1224C22—22no—
1225C22—24no—
1226C22—24no—
1227C22—24no—
1228C22—24no—
1229C22—416no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—42no—
1234C22—41no—
1235C22—42no—
1236C22—41no—
1237C22—41no—
1238C22—42no—
1239C22—118no—
1240C22—2232no—
1241C22—224no—
1242C22—224no—
1243C22—224no—
1244C22—224no—
1245C22—224no—
1246C22—224no—
1247C22—222no—
1248C22—222no—
1249C22—222no—
1250C22—222no—
1251C22—222no—
1252C22—222no—
1253C22—4416no—
1254C22—4432no—
1255C22—4432no—
1256C22—442no—
1257C22—442no—
1258C22—442no—
1259C22—442no—
1260C22—441no—
1261C22—442no—
1262C22—441no—
1263C22—441no—
1264C22—442no—
1265C22#1062307814yes—
1266C22C22×#433911yescharacteristic
1267C22C22×D4×D1111yescharacteristic
1268C22C2×#41×D1111yescharacteristic
1269C22D11×H(5,𝔽2)12yes—
1270C22D11×H(5,𝔽2)12yes—
1271C4—22no—
1272C4—22no—
1273C4—41no—
1274C4—42no—
1275C4—41no—
1276C4—42no—
1277C4—41no—
1278C4—42no—
1279C4—222no—
1280C4—222no—
1281C4—441no—
1282C4—442no—
1283C4—442no—
1284C4—441no—
1285C4—441no—
1286C4—442no—
1287C2—24no—
1288C2—44no—
1289C2—81no—
1290C2—228no—
1291C2—442no—
1292C2—442no—
1293C2—881no—
1294C2C2×#1062307811yescharacteristic
1295C2D11×#53812yes—
1296C2#1308224811yescharacteristic
1297C2#1308225011yescharacteristic
1298C2#1308230112yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2321C2
hypercenter#2321D11
hypocenterC11#34988
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. C22×C22⋊C4×D11C2semidirect
3. #13076902C2semidirect
4. #13076897C2semidirect
5. #13076894C2semidirect
6. #13076892C2semidirect
7. #13074425C2semidirect
8. #13074394C2semidirect
9. #13074393C2semidirect
10. #13074354C2semidirect
11. #13072868C2semidirect
12. #13072866C2semidirect
13. #13072748C2semidirect
14. #13072746C2semidirect
15. #13072159C2semidirect
16. #13072151C2semidirect
17. #13072085C2semidirect
18. #13072077C2semidirect
19. #13071274C2semidirect
20. #13071211C2semidirect
21. C4×#66935C2semidirect
22. C4×#66990C2semidirect
23. C11×#2321C2semidirect
28. C2×C4×D4×C11C22semidirect
32. C2×#66992C22semidirect
37. C2×#66983C22semidirect
38. C2×#66982C22semidirect
39. C2×C4×C22⋊D11C22semidirect
40. C2×C4×C22⋊D11C22semidirect
44. C2×#66951C22semidirect
45. C2×#66949C22semidirect
46. C2×#66947C22semidirect
47. C2×#66938C22semidirect
48. C2×#66937C22semidirect
49. C2×#66937C22semidirect
59. C2×#66931C22semidirect
60. C2×#66929C22semidirect
61. C2×#66928C22semidirect
62. C2×C4×D44C22semidirect
63. C11×#390C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#386C22semidirect
67. C11×#386C22semidirect
68. C11×#385C22semidirect
70. C4×C11×C22⋊C4C22semidirect
72. #10622836C22semidirect
73. #10622835C22semidirect
74. #10622833C22semidirect
75. #10622826C22semidirect
76. #10622823C22semidirect
77. C4×C22⋊Dic11C22semidirect
78. #10622606C22semidirect
79. #10622604C22semidirect
80. #10622602C22semidirect
81. #10622602C22semidirect
82. #10622574C22semidirect
83. #10622572C22semidirect
84. #10622572C22semidirect
85. #10622571C22semidirect
86. #10622570C22semidirect
87. #10622569C22semidirect
88. #10622569C22semidirect
89. #10622569C22semidirect
98. #10622565C22semidirect
99. #10622563C22semidirect
100. #10622562C22semidirect
101. #10622561C22semidirect
102. #10622561C22semidirect
103. #10622560C22semidirect
104. #10622559C22semidirect
105. #10622558C22semidirect
106. #10622557C22semidirect
107. #10622555C22semidirect
108. #10622555C22semidirect
109. #10622553C22semidirect
110. #10622553C22semidirect
111. C4×(C2×D11)⋊C4C22semidirect
112. C4×(C2×D11)⋊C4C22semidirect
113. #10622288C22semidirect
114. #10622288C22semidirect
115. #10622287C22semidirect
116. #10622285C22semidirect
117. #10622282C22semidirect
118. #10622282C22semidirect
119. #10622281C22semidirect
120. #10622281C22semidirect
121. #10622280C22semidirect
122. #10622280C22semidirect
123. #10622278C22semidirect
124. #10622278C22semidirect
139. C23×C4×C11C23semidirect
145. C22×C22⋊D11C23semidirect
159. C22×C4×D11C23semidirect
160. C22×Dic22C23semidirect
163. C2×C11×C4⋊C4C23semidirect
164. C2×C11×C4⋊C4C23semidirect
174. C2×C11×C22⋊C4C23semidirect
175. C2×C11×C22⋊C4C23semidirect
176. C2×C42×C11C23semidirect
177. C2×C42×C11C23semidirect
188. C2×C22⋊Dic11C23semidirect
189. C2×C22⋊Dic11C23semidirect
200. C2×(C2×D11)⋊C4D4semidirect
221. C2×(C2×D11)⋊C4C23semidirect
222. C2×(C2×D11)⋊C4C23semidirect
223. C2×(C2×D11)⋊C4C23semidirect
224. C2×(C2×D11)⋊C4C23semidirect
225. C2×C4⋊Dic11C23semidirect
226. C2×C4⋊Dic11C23semidirect
227. C2×Dic11⋊C4C23semidirect
228. C2×Dic11⋊C4C23semidirect
229. C2×Dic11⋊C4C23semidirect
230. C2×Dic11⋊C4C23semidirect
231. C2×Dic11⋊C4C23semidirect
232. C2×Dic11⋊C4C23semidirect
233. C2×Dic11⋊C4C23semidirect
234. C2×Dic11⋊C4C23semidirect
235. C2×C4×Dic11C23semidirect
236. C2×C4×Dic11C23semidirect
255. C11×#95C23semidirect
256. C11×#95C23semidirect
257. C11×#95C23semidirect
258. C11⋊#95C23semidirect
259. C11⋊#95C23semidirect
260. C11⋊#95C23semidirect
261. C11⋊#95C23semidirect
262. C11⋊#95C23semidirect
263. C11⋊#95C23semidirect
264. C11⋊#95C23semidirect
265. C11⋊#95C23semidirect
266. C11⋊#95C23semidirect
460. #2321D11semidirect
625. C2×C4×D4C2×D11semidirect
652. #390C2×D11semidirect
659. #388C2×D11semidirect
660. #388C2×D11semidirect
669. #386C2×D11semidirect
670. #386C2×D11semidirect
678. #385C2×D11semidirect
696. C4×C22⋊C4C2×D11semidirect
745. C2×D11#538semidirect
797. C23×C4C22×D11semidirect
834. C2×C4⋊C4C22×D11semidirect
835. C2×C4⋊C4C22×D11semidirect
886. C2×C22⋊C4C22×D11semidirect
887. C2×C22⋊C4C22×D11semidirect
890. C2×C42C22×D11semidirect
891. C2×C42C22×D11semidirect
901. #95C22×D11semidirect
902. #95C22×D11semidirect
903. #95C22×D11semidirect
1089. C11#34988semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
C22×C22⋊C4×D112
#130769022
#130768972
#130768942
#130768922
#130744252
#130743942
#130743932
#130743542
#130728682
#130728662
#130727482
#130727462
#130721592
#130721512
#130720852
#130720772
#130712742
#130712112
C4×#669352
C4×#669902
C11×#23212
#3498811