Finite Group Databasebeta

← #14914104

Subgroups — #14914104

Order 2816.

3614 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#121C211yesmaximal, characteristic
2C2×#10623076C211yesmaximal, characteristic, complemented
3C22×#66925C211yesmaximal, characteristic, complemented
4#13071655C212yesmaximal, complemented
5#13071649C212yesmaximal, complemented
6#13071633C212yesmaximal, complemented
7#13071627C212yesmaximal, complemented
8#13071460C212yesmaximal, complemented
9#13071459C212yesmaximal, complemented
10#13071434C212yesmaximal, complemented
11D4×(C2×D11)⋊C4C212yesmaximal, complemented
12#13071312C211yesmaximal, characteristic, complemented
13#13071310C211yesmaximal, characteristic, complemented
14#13071307C211yesmaximal, characteristic, complemented
15#13071303C211yesmaximal, characteristic, complemented
16#13071231C211yesmaximal, characteristic, complemented
17#13071195C211yesmaximal, characteristic, complemented
18#121×Dic11C211yesmaximal, characteristic, complemented
19C4×#66983C211yesmaximal, characteristic, complemented
20#13071122C211yesmaximal, characteristic, complemented
21#13070998C211yesmaximal, characteristic, complemented
22#13070970C211yesmaximal, characteristic, complemented
23C4×C11×#121C211yesmaximal, characteristic, complemented
24C22×D4×D11C2211yescharacteristic
25C22×D4×D11C2212yes—
26C23×C4×D11C2211yescharacteristic
27C2×C11×#121C2211yescharacteristic
28C2×C4×D4×C11C2211yescharacteristic, complemented
29C2×C4×D4×C11C2212yescomplemented
30C22×C42×C11C2211yescharacteristic, complemented
31C2×#66992C2212yes—
32C2×#66991C2211yescharacteristic
33C2×D4×Dic11C2211yescharacteristic, complemented
34C2×D4×Dic11C2212yescomplemented
35C2×#66983C2211yescharacteristic
36C2×C4×C22⋊D11C2212yescomplemented
37C2×C4×C22⋊D11C2212yescomplemented
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2212yes—
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic, complemented
42C22×Dic11⋊C4C2211yescharacteristic, complemented
43C22×C4×Dic11C2211yescharacteristic, complemented
44D11×#121C4116yescomplemented
45#10623076—28no—
46C2×#66948C2211yescharacteristic
47C2×#66946C2211yescharacteristic, complemented
48C2×#66945C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×#66937C2212yes—
52C2×(C22⋊D11)⋊C4C2212yescomplemented
53C2×(C22⋊D11)⋊C4C2212yescomplemented
54C2×C22⋊C4×D11C2212yes—
55C2×C22⋊C4×D11C2212yes—
56C2×C4×D44C2211yescharacteristic, complemented
57C2×#66925—28no—
58C2×#66925C2211yescharacteristic
59C2×#66925C2211yescharacteristic
60C2×#66925C2211yescharacteristic
61C2×#66925C2211yescharacteristic
62C2×#66925C2211yescharacteristic, complemented
63C2×#66925C2211yescharacteristic, complemented
64C2×#66925C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#389C2211yescharacteristic, complemented
68C11×#388C2212yescomplemented
69C11×#386C2212yescomplemented
70C11×#380C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2212yescomplemented
73#10622834C2211yescharacteristic, complemented
74#10622833C2212yescomplemented
75#10622826C2212yescomplemented
76#10622826C2212yescomplemented
77#10622825C2211yescharacteristic, complemented
78#10622823C2212yescomplemented
79#10622602C2212yescomplemented
80#10622601C2211yescharacteristic, complemented
81#10622601C2212yescomplemented
82#10622600C2212yes—
83#10622600C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic, complemented
85#10622598C2211yescharacteristic, complemented
86C4⋊C4×Dic11C2211yescharacteristic, complemented
87C4⋊C4×Dic11C2211yescharacteristic, complemented
88#10622586C2211yescharacteristic, complemented
89#10622585C2212yescomplemented
90#10622571C2212yescomplemented
91#10622571C2212yescomplemented
92#10622570C2212yescomplemented
93#10622570C2212yescomplemented
94#10622570C2212yescomplemented
95#10622570C2212yescomplemented
96#10622568C2212yes—
97#10622568C2212yes—
98#10622568C2212yes—
99#10622564C2212yescomplemented
100#10622559C2212yescomplemented
101#10622558C2212yescomplemented
102#10622557C2212yescomplemented
103C22⋊C4×Dic11C2212yescomplemented
104C22⋊C4×Dic11C2212yescomplemented
105#10622553C2212yescomplemented
106#10622553C2212yescomplemented
107#10622552C2211yescharacteristic, complemented
108#10622552C2212yescomplemented
109C4×(C2×D11)⋊C4C2212yes—
110C4×(C2×D11)⋊C4C2212yescomplemented
111C4×C4⋊Dic11C2211yescharacteristic, complemented
112C4×Dic11⋊C4C2212yescomplemented
113#10622541C2211yescharacteristic, complemented
114#10622282C2212yescomplemented
115#10622282C2212yescomplemented
116#10622281C2212yescomplemented
117#10622280C2212yes—
118#10622279C2212yes—
119#10622279C2212yescomplemented
120#10622279C2212yescomplemented
121#10622278C2212yescomplemented
122#10622278C2212yescomplemented
123#10622277C2212yes—
124#10622262C2212yescomplemented
125#10622260C2212yescomplemented
126C24×D11C2311yescharacteristic
127C24×D11C2312yes—
128C22×D4×C11C2311yescharacteristic
129C22×D4×C11C2312yes—
130C23×C4×C11C2311yescharacteristic
131C23×C4×C11C2311yescharacteristic
132C23×C4×C11C2311yescharacteristic
133C23×C4×C11C2312yes—
134C22×C22⋊D11C2312yes—
135C22×C22⋊D11C2312yes—
136C22×C22⋊D11C2312yes—
137C23×Dic11C2311yescharacteristic
138C23×Dic11C2311yescharacteristic
139C23×Dic11C2311yescharacteristic
140C23×Dic11C2312yes—
141C2×D4×D11—24no—
142C2×D4×D11—24no—
143C2×D4×D11—44no—
144C2×D4×D11—44no—
145C2×D4×D11C2×C418yescomplemented
146C2×D4×D11C2×C4116yescomplemented
147C22×D44C2311yescharacteristic
148C22×D44C2312yes—
149C22×C4×D11—24no—
150C22×C4×D11—24no—
151C22×C4×D11C2×C418yescomplemented
152C22×C4×D11C2311yescharacteristic
153C22×C4×D11C2311yescharacteristic
154C22×C4×D11C2311yescharacteristic
155C22×C4×D11C2312yes—
156C22×C4×D11C2312yes—
157C22×C4×D11C2312yes—
158C22×C4×D11C2311yescharacteristic
159C11×#121C2×C418yescomplemented
160C4×D4×C11—24no—
161C4×D4×C11—44no—
162C2×C11×C4⋊C4C2311yescharacteristic
163C2×C11×C4⋊C4C2311yescharacteristic
164C2×C11×C4⋊C4C2312yes—
165C2×C11×C4⋊C4C2311yescharacteristic
166C2×C11×C22⋊C4C2312yes—
167C2×C11×C22⋊C4C2312yes—
168C2×C11×C22⋊C4C2312yes—
169C2×C11×C22⋊C4C2312yes—
170C2×C11×C22⋊C4C2312yes—
171C2×C42×C11—24no—
172C2×C42×C11C2311yescharacteristic
173C2×C42×C11C2311yescharacteristic
174C2×C42×C11C2311yescharacteristic
175C2×C42×C11C2312yes—
176C2×C42×C11C2311yescharacteristic
177C2×C22⋊Dic11C2312yes—
178C2×C22⋊Dic11C2312yes—
179C2×C22⋊Dic11C2312yes—
180C2×C22⋊Dic11C2312yes—
181C2×C22⋊Dic11C2312yes—
182#66992C2×C4116yescomplemented
183#66991C2×C418yescomplemented
184D4×Dic11—24no—
185D4×Dic11—44no—
186#66983C2×C418yescomplemented
187C4×C22⋊D11—28no—
188C4×C22⋊D11—44no—
189C2×(C2×D11)⋊C4—24no—
190C2×(C2×D11)⋊C4—24no—
191C2×(C2×D11)⋊C4—28no—
192C2×(C2×D11)⋊C4C2311yescharacteristic
193C2×(C2×D11)⋊C4C2311yescharacteristic
194C2×(C2×D11)⋊C4C2311yescharacteristic
195C2×(C2×D11)⋊C4C2311yescharacteristic
196C2×(C2×D11)⋊C4C2311yescharacteristic
197C2×(C2×D11)⋊C4C2311yescharacteristic
198C2×(C2×D11)⋊C4C2312yes—
199C2×(C2×D11)⋊C4C2312yes—
200C2×(C2×D11)⋊C4C2312yes—
201C2×(C2×D11)⋊C4C2312yes—
202C2×(C2×D11)⋊C4C2312yes—
203C2×(C2×D11)⋊C4C2312yes—
204C2×(C2×D11)⋊C4C2312yes—
205C2×(C2×D11)⋊C4C2312yes—
206C2×(C2×D11)⋊C4C2312yes—
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2312yes—
209C2×(C2×D11)⋊C4C2312yes—
210C2×(C2×D11)⋊C4C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×C4⋊Dic11C2311yescharacteristic
213C2×C4⋊Dic11C2311yescharacteristic
214C2×C4⋊Dic11C2312yes—
215C2×C4⋊Dic11C2311yescharacteristic
216C2×Dic11⋊C4—24no—
217C2×Dic11⋊C4—24no—
218C2×Dic11⋊C4C2311yescharacteristic
219C2×Dic11⋊C4C2311yescharacteristic
220C2×Dic11⋊C4C2311yescharacteristic
221C2×Dic11⋊C4C2311yescharacteristic
222C2×Dic11⋊C4C2311yescharacteristic
223C2×Dic11⋊C4C2311yescharacteristic
224C2×Dic11⋊C4C2312yes—
225C2×Dic11⋊C4C2312yes—
226C2×Dic11⋊C4C2312yes—
227C2×Dic11⋊C4C2311yescharacteristic
228C2×Dic11⋊C4C2311yescharacteristic
229C2×C4×Dic11—24no—
230C2×C4×Dic11C2311yescharacteristic
231C2×C4×Dic11C2311yescharacteristic
232C2×C4×Dic11C2311yescharacteristic
233C2×C4×Dic11C2312yes—
234C2×C4×Dic11C2312yes—
235C2×C4×Dic11C2312yes—
236C2×C4×Dic11C2312yes—
237C2×C4×Dic11C2312yes—
238C2×C4×Dic11C2311yescharacteristic
239#66948C2×C418yescomplemented
240#66946—24no—
241#66945—24no—
242#66945—24no—
243C4⋊C4×D11C2×C418yescomplemented
244#66937C2×C4116yescomplemented
245(C22⋊D11)⋊C4—28no—
246(C22⋊D11)⋊C4—44no—
247C22⋊C4×D11—28no—
248C22⋊C4×D11C2×C4116yescomplemented
249C4×D44—24no—
250#66925—24no—
251#66925—24no—
252#66925—24no—
253#66925—24no—
254#66925—24no—
255#66925—24no—
256#66925—24no—
257#66925D418yescomplemented
258C11×#95C2312yes—
259C11×#95C2312yes—
260C11×#95C2312yes—
261C11⋊#95C2312yes—
262C11⋊#95C2312yes—
263C11⋊#95C2312yes—
264C11⋊#95C2312yes—
265C11⋊#95C2312yes—
266C11⋊#95C2312yes—
267C11⋊#95C2312yes—
268C11⋊#95C2312yes—
269C11⋊#95C2312yes—
270#34204—111nomaximal, Sylow
271C24×C11C2412yes—
272C24×C11C2411yescharacteristic
273C23×D11—22no—
274C23×D11—22no—
275C23×D11—22no—
276C23×D11—22no—
277C23×D11—24no—
278C23×D11—24no—
279C23×D11—41no—
280C23×D11—41no—
281C23×D11—42no—
282C23×D11—42no—
283C23×D11—42no—
284C23×D11—42no—
285C23×D11C22×C414yes—
286C23×D11C22×C418yes—
287C23×D11C2411yescharacteristic
288C23×D11C2412yes—
289C23×D11C2411yescharacteristic
290C2×D4×C11—24no—
291C2×D4×C11—24no—
292C2×D4×C11—22no—
293C2×D4×C11—22no—
294C2×D4×C11C22×C414yes—
295C2×D4×C11C22×C418yes—
296C22×C4×C11—22no—
297C22×C4×C11—22no—
298C22×C4×C11—22no—
299C22×C4×C11—22no—
300C22×C4×C11—22no—
301C22×C4×C11—22no—
302C22×C4×C11—24no—
303C22×C4×C11—41no—
304C22×C4×C11—41no—
305C22×C4×C11—42no—
306C22×C4×C11—42no—
307C22×C4×C11C22×C414yes—
308C22×C4×C11C2412yes—
309C22×C4×C11C2412yes—
310C22×C4×C11C2411yescharacteristic
311C22×C4×C11C2411yescharacteristic
312C22×C4×C11C2411yescharacteristic
313C22×C4×C11C2412yes—
314C22×C4×C11C2411yescharacteristic
315C22×C4×C11C2411yescharacteristic
316C22×C4×C11C2411yescharacteristic
317C2×C22⋊D11—24no—
318C2×C22⋊D11—24no—
319C2×C22⋊D11—24no—
320C2×C22⋊D11—24no—
321C2×C22⋊D11—42no—
322C2×C22⋊D11—42no—
323C2×C22⋊D11C22×C418yes—
324C2×C22⋊D11C22×C418yes—
325C2×C22⋊D11C22×C418yes—
326C22×Dic11—22no—
327C22×Dic11—22no—
328C22×Dic11—22no—
329C22×Dic11—22no—
330C22×Dic11—24no—
331C22×Dic11—22no—
332C22×Dic11—22no—
333C22×Dic11—41no—
334C22×Dic11—41no—
335C22×Dic11—42no—
336C22×Dic11—42no—
337C22×Dic11C22×C414yes—
338C22×Dic11C2412yes—
339C22×Dic11C2412yes—
340C22×Dic11C2411yescharacteristic
341C22×Dic11C2411yescharacteristic
342C22×Dic11C2412yes—
343C22×Dic11C2411yescharacteristic
344C22×Dic11C2411yescharacteristic
345C22×Dic11C2411yescharacteristic
346C22×Dic11C2411yescharacteristic
347D4×D11—232no—
348D4×D11—432no—
349C2×D44—22no—
350C2×D44—22no—
351C2×D44—42no—
352C2×D44—42no—
353C2×D44C22×C414yes—
354C2×D44C22×C418yes—
355C2×C4×D11—22no—
356C2×C4×D11—22no—
357C2×C4×D11—232no—
358C2×C4×D11—24no—
359C2×C4×D11—22no—
360C2×C4×D11—22no—
361C2×C4×D11—22no—
362C2×C4×D11—24no—
363C2×C4×D11—22no—
364C2×C4×D11—42no—
365C2×C4×D11—42no—
366C2×C4×D11—42no—
367C2×C4×D11—42no—
368C2×C4×D11—42no—
369C2×C4×D11—42no—
370C2×C4×D11C22×C414yes—
371C2×C4×D11C22×C414yes—
372C2×C4×D11C22×C414yes—
373C2×C4×D11C22×C418yes—
374C2×C4×D11C22×C414yes—
375C2×C4×D11C2×D414yes—
376C2×C4×D11#4114yes—
377C11×C4⋊C4—22no—
378C11×C4⋊C4—22no—
379C11×C4⋊C4—42no—
380C11×C4⋊C4C22×C414yes—
381C11×C22⋊C4—24no—
382C11×C22⋊C4—24no—
383C11×C22⋊C4—42no—
384C11×C22⋊C4—42no—
385C11×C22⋊C4C22×C418yes—
386C42×C11—22no—
387C42×C11—22no—
388C42×C11—22no—
389C42×C11—42no—
390C42×C11C2×D414yescomplemented
391C22⋊Dic11—24no—
392C22⋊Dic11—24no—
393C22⋊Dic11—42no—
394C22⋊Dic11—42no—
395C22⋊Dic11C22×C418yes—
396(C2×D11)⋊C4—22no—
397(C2×D11)⋊C4—22no—
398(C2×D11)⋊C4—24no—
399(C2×D11)⋊C4—22no—
400(C2×D11)⋊C4—22no—
401(C2×D11)⋊C4—24no—
402(C2×D11)⋊C4—24no—
403(C2×D11)⋊C4—22no—
404(C2×D11)⋊C4—22no—
405(C2×D11)⋊C4—24no—
406(C2×D11)⋊C4—42no—
407(C2×D11)⋊C4—42no—
408(C2×D11)⋊C4—42no—
409(C2×D11)⋊C4—42no—
410(C2×D11)⋊C4—42no—
411(C2×D11)⋊C4—42no—
412(C2×D11)⋊C4C22×C418yes—
413(C2×D11)⋊C4C22×C418yes—
414(C2×D11)⋊C4C2×D414yes—
415(C2×D11)⋊C4C2×D414yes—
416C4⋊Dic11—22no—
417C4⋊Dic11—22no—
418C4⋊Dic11—42no—
419C4⋊Dic11C22×C414yes—
420Dic11⋊C4—22no—
421Dic11⋊C4—22no—
422Dic11⋊C4—22no—
423Dic11⋊C4—22no—
424Dic11⋊C4—22no—
425Dic11⋊C4—22no—
426Dic11⋊C4—42no—
427Dic11⋊C4—42no—
428Dic11⋊C4C22×C418yes—
429Dic11⋊C4C2×D414yescomplemented
430Dic11⋊C4C2×D414yescomplemented
431C4×Dic11—22no—
432C4×Dic11—22no—
433C4×Dic11—24no—
434C4×Dic11—24no—
435C4×Dic11—22no—
436C4×Dic11—42no—
437C4×Dic11—42no—
438C4×Dic11—42no—
439C4×Dic11C2×D414yescomplemented
440C22×#121—111no—
441C2×#518—111no—
442C22×#117—111no—
443#2363—112no—
444#2363—112no—
445#2361—112no—
446#2361—112no—
447#2342—112no—
448#2342—112no—
449D4×C22⋊C4—112no—
450D4×C22⋊C4—112no—
451#2324—111no—
452#2324—111no—
453#2324—111no—
454#2324—111no—
455#2316—111no—
456#2309—111no—
457C4×#121—111no—
458C4×#121—111no—
459C4×#121—111no—
460C4×#121D1111yescharacteristic, complemented
461#2280—111no—
462#2274—111no—
463C23×C11—21no—
464C23×C11—21no—
465C23×C11—21no—
466C23×C11—21no—
467C23×C11—22no—
468C23×C11—22no—
469C23×C11—22no—
470C23×C11—22no—
471C23×C11—22no—
472C23×C11—22no—
473C23×C11C23×C414yes—
474C23×C11C23×C412yes—
475C23×C11H(5,𝔽2)12yes—
476C23×C11H(5,𝔽2)12yes—
477C23×C11C2511yescharacteristic
478C22×D11—21no—
479C22×D11—21no—
480C22×D11—21no—
481C22×D11—21no—
482C22×D11—28no—
483C22×D11—21no—
484C22×D11—22no—
485C22×D11—21no—
486C22×D11—22no—
487C22×D11—22no—
488C22×D11—22no—
489C22×D11—21no—
490C22×D11—21no—
491C22×D11—21no—
492C22×D11—21no—
493C22×D11—22no—
494C22×D11—22no—
495C22×D11—28no—
496C22×D11—216no—
497C22×D11—44no—
498C22×D11—48no—
499C22×D11—48no—
500C22×D11—44no—
501C22×D11—44no—
502C22×D11—44no—
503C22×D11—44no—
504C22×D11—84no—
505C22×D11—84no—
506C22×D11—84no—
507C22×D11—84no—
508C22×D11C23×C414yes—
509C22×D11C23×C412yes—
510C22×D11C23×C412yes—
511C22×D11C22×D412yes—
512C22×D11C2×#4112yes—
513D4×C11—216no—
514D4×C11—28no—
515C2×C4×C11—21no—
516C2×C4×C11—21no—
517C2×C4×C11—21no—
518C2×C4×C11—22no—
519C2×C4×C11—21no—
520C2×C4×C11—22no—
521C2×C4×C11—21no—
522C2×C4×C11—21no—
523C2×C4×C11—28no—
524C2×C4×C11—22no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—22no—
528C2×C4×C11—22no—
529C2×C4×C11—21no—
530C2×C4×C11—22no—
531C2×C4×C11—21no—
532C2×C4×C11—22no—
533C2×C4×C11—21no—
534C2×C4×C11—22no—
535C2×C4×C11—21no—
536C2×C4×C11—44no—
537C2×C4×C11—44no—
538C2×C4×C11—84no—
539C2×C4×C11C23×C414yes—
540C2×C4×C11C23×C412yes—
541C2×C4×C11C23×C412yes—
542C2×C4×C11C22×D412yes—
543C2×C4×C11C22×D412yes—
544C2×C4×C11C22×D412yes—
545C2×C4×C11C2×#4112yes—
546C22⋊D11—216no—
547C22⋊D11—216no—
548C22⋊D11—48no—
549C2×Dic11—21no—
550C2×Dic11—21no—
551C2×Dic11—21no—
552C2×Dic11—21no—
553C2×Dic11—22no—
554C2×Dic11—22no—
555C2×Dic11—21no—
556C2×Dic11—21no—
557C2×Dic11—28no—
558C2×Dic11—21no—
559C2×Dic11—21no—
560C2×Dic11—22no—
561C2×Dic11—22no—
562C2×Dic11—22no—
563C2×Dic11—21no—
564C2×Dic11—22no—
565C2×Dic11—21no—
566C2×Dic11—22no—
567C2×Dic11—21no—
568C2×Dic11—22no—
569C2×Dic11—21no—
570C2×Dic11—44no—
571C2×Dic11—44no—
572C2×Dic11—84no—
573C2×Dic11C23×C414yes—
574C2×Dic11C23×C412yes—
575C2×Dic11C23×C412yes—
576C2×Dic11C22×D412yes—
577C2×Dic11C22×D412yes—
578C2×Dic11C22×D412yes—
579C2×Dic11C2×#4112yes—
580D44—28no—
581D44—48no—
582C4×D11—28no—
583C4×D11—28no—
584C4×D11—28no—
585C4×D11—48no—
586C4×D11—84no—
587C4×D11—84no—
588C4×D11C4×D4116yescomplemented
589C23×D4—111no—
590C23×D4—112no—
591C24×C4—111no—
592C2×#121—111no—
593C2×#121—112no—
594C2×#121—111no—
595C2×#121—1116no—
596C2×#121—111no—
597C2×#121—112no—
598C2×#121C2×D1111yescharacteristic
599#518—228no—
600C2×C4×D4—111no—
601C2×C4×D4—112no—
602C2×C4×D4—112no—
603C2×C4×D4—112no—
604C2×C4×D4—111no—
605C2×C4×D4—112no—
606C2×C4×D4—112no—
607C2×C4×D4—111no—
608C2×C4×D4C2×D1111yescharacteristic, complemented
609C2×C4×D4C2×D1112yescomplemented
610C2×#117—111no—
611C2×#117—111no—
612C2×#117—111no—
613C2×#117—111no—
614C2×#117—111no—
615C2×#117—111no—
616C2×#117—111no—
617C2×#117—111no—
618C2×#117—111no—
619C2×#117—111no—
620C2×#117—228no—
621C22×C4⋊C4—111no—
622C22×C4⋊C4—111no—
623C22×C4⋊C4—111no—
624C22×C22⋊C4—112no—
625C22×C22⋊C4—111no—
626C22×C22⋊C4—111no—
627C22×C22⋊C4—112no—
628C22×C22⋊C4—112no—
629C22×C42—111no—
630C22×C42C2×D1111yescharacteristic, complemented
631#390—111no—
632#390—111no—
633#390—112no—
634#390—112no—
635#390—112no—
636#390—112no—
637#390—112no—
638#390—111no—
639#390—112no—
640#390C2×D1111yescharacteristic, complemented
641#389—111no—
642#389—111no—
643#389—112no—
644#389—111no—
645#389—112no—
646#389C2×D1111yescharacteristic, complemented
647#388—112no—
648#388—112no—
649#388—112no—
650#388—112no—
651#388—112no—
652#388—112no—
653#388—112no—
654#388C2×D1112yescomplemented
655#386—112no—
656#386—112no—
657#386—112no—
658#386—112no—
659#386—112no—
660#386—112no—
661#386—112no—
662#386C2×D1112yescomplemented
663#385—112no—
664#385—112no—
665#385—112no—
666#385—112no—
667#381—112no—
668#380—111no—
669#380—112no—
670#380—111no—
671#380—111no—
672#380—112no—
673#380C2×D1111yescharacteristic, complemented
674#379—112no—
675#379—112no—
676#379—112no—
677C4×C4⋊C4—111no—
678C4×C4⋊C4—111no—
679C4×C4⋊C4—111no—
680C4×C4⋊C4—112no—
681C4×C4⋊C4—112no—
682C4×C4⋊C4C2×D1111yescharacteristic, complemented
683C4×C22⋊C4—112no—
684C4×C22⋊C4—112no—
685C4×C22⋊C4—112no—
686C4×C22⋊C4—112no—
687C4×C22⋊C4—112no—
688C4×C22⋊C4—112no—
689C4×C22⋊C4—112no—
690C4×C22⋊C4C2×D1112yescomplemented
691C22×C11—22no—
692C22×C11—22no—
693C22×C11—22no—
694C22×C11—22no—
695C22×C11—22no—
696C22×C11—22no—
697C22×C11—24no—
698C22×C11—24no—
699C22×C11—24no—
700C22×C11—42no—
701C22×C11—42no—
702C22×C11—42no—
703C22×C11—42no—
704C22×C11#51814yescomplemented
705C22×C11C24×C411yescharacteristic
706C22×C11C23×D411yescharacteristic
707C22×C11C22×#4111yescharacteristic
708C22×C11C2×H(5,𝔽2)11yescharacteristic
709C22×C11C2×H(5,𝔽2)11yescharacteristic
710C22×C11#58511yescharacteristic
711C22×C11#58511yescharacteristic
712C2×D11—22no—
713C2×D11—22no—
714C2×D11—22no—
715C2×D11—22no—
716C2×D11—22no—
717C2×D11—22no—
718C2×D11—22no—
719C2×D11—24no—
720C2×D11—22no—
721C2×D11—24no—
722C2×D11—22no—
723C2×D11—24no—
724C2×D11—416no—
725C2×D11—41no—
726C2×D11—41no—
727C2×D11—42no—
728C2×D11—42no—
729C2×D11—41no—
730C2×D11—41no—
731C2×D11—42no—
732C2×D11—42no—
733C2×D11—816no—
734C2×D11C2×C4×D414yes—
735C4×C11—22no—
736C4×C11—24no—
737C4×C11—22no—
738C4×C11—22no—
739C4×C11—41no—
740C4×C11—41no—
741C4×C11—42no—
742C4×C11—42no—
743C4×C11C2×C4×D414yes—
744Dic11—22no—
745Dic11—24no—
746Dic11—22no—
747Dic11—22no—
748Dic11—42no—
749Dic11—41no—
750Dic11—41no—
751Dic11—42no—
752Dic11C2×C4×D414yes—
753C25—111no—
754C25—112no—
755C22×D4—112no—
756C22×D4—112no—
757C22×D4—112no—
758C22×D4—118no—
759C22×D4—1116no—
760C22×D4—111no—
761C22×D4—112no—
762C22×D4—224no—
763C22×D4—224no—
764C22×D4—444no—
765C22×D4—444no—
766C22×D4C22×D1112yes—
767C22×D4C22×D1111yescharacteristic
768C23×C4—111no—
769C23×C4—111no—
770C23×C4—118no—
771C23×C4—111no—
772C23×C4—111no—
773C23×C4—111no—
774C23×C4—112no—
775C23×C4—111no—
776C23×C4—111no—
777C23×C4—112no—
778C23×C4—112no—
779C23×C4—112no—
780C23×C4—224no—
781C23×C4—224no—
782C23×C4C22×D1111yescharacteristic
783C23×C4C22×D1111yescharacteristic
784C23×C4C22×D1111yescharacteristic
785C23×C4C22×D1112yes—
786#121—118no—
787#121—1116no—
788#121—118no—
789#121—118no—
790#121—1116no—
791#121C4×D1118yescomplemented
792C4×D4—24no—
793C4×D4—44no—
794C4×D4—224no—
795C4×D4—224no—
796C4×D4—228no—
797C4×D4—228no—
798C4×D4—224no—
799C4×D4—444no—
800C4×D4—444no—
801C4×D4—444no—
802#117—118no—
803#117—224no—
804#117—224no—
805#117—224no—
806#117—224no—
807#117—224no—
808#117—224no—
809#117—224no—
810#117—224no—
811#117—224no—
812C2×C4⋊C4—111no—
813C2×C4⋊C4—111no—
814C2×C4⋊C4—112no—
815C2×C4⋊C4—111no—
816C2×C4⋊C4—118no—
817C2×C4⋊C4—111no—
818C2×C4⋊C4—111no—
819C2×C4⋊C4—111no—
820C2×C4⋊C4—111no—
821C2×C4⋊C4—111no—
822C2×C4⋊C4—111no—
823C2×C4⋊C4—111no—
824C2×C4⋊C4—111no—
825C2×C4⋊C4—112no—
826C2×C4⋊C4—112no—
827C2×C4⋊C4—112no—
828C2×C4⋊C4—224no—
829C2×C4⋊C4—224no—
830C2×C4⋊C4C22×D1111yescharacteristic
831C2×C4⋊C4C22×D1111yescharacteristic
832C2×C4⋊C4C22×D1112yes—
833C2×C4⋊C4C22×D1111yescharacteristic
834C2×C22⋊C4—112no—
835C2×C22⋊C4—111no—
836C2×C22⋊C4—111no—
837C2×C22⋊C4—112no—
838C2×C22⋊C4—112no—
839C2×C22⋊C4—1116no—
840C2×C22⋊C4—112no—
841C2×C22⋊C4—112no—
842C2×C22⋊C4—112no—
843C2×C22⋊C4—111no—
844C2×C22⋊C4—111no—
845C2×C22⋊C4—111no—
846C2×C22⋊C4—111no—
847C2×C22⋊C4—111no—
848C2×C22⋊C4—111no—
849C2×C22⋊C4—112no—
850C2×C22⋊C4—112no—
851C2×C22⋊C4—112no—
852C2×C22⋊C4—112no—
853C2×C22⋊C4—112no—
854C2×C22⋊C4—112no—
855C2×C22⋊C4—112no—
856C2×C22⋊C4—112no—
857C2×C22⋊C4—112no—
858C2×C22⋊C4—112no—
859C2×C22⋊C4—112no—
860C2×C22⋊C4—228no—
861C2×C22⋊C4—224no—
862C2×C22⋊C4—224no—
863C2×C22⋊C4—228no—
864C2×C22⋊C4C22×D1112yes—
865C2×C22⋊C4C22×D1112yes—
866C2×C22⋊C4C22×D1112yes—
867C2×C22⋊C4C22×D1112yes—
868C2×C22⋊C4C22×D1112yes—
869C2×C42—24no—
870C2×C42—111no—
871C2×C42—111no—
872C2×C42—111no—
873C2×C42—111no—
874C2×C42—112no—
875C2×C42—112no—
876C2×C42—112no—
877C2×C42—112no—
878C2×C42—112no—
879C2×C42—224no—
880C2×C42C22×D1111yescharacteristic
881C2×C42C22×D1111yescharacteristic
882C2×C42C22×D1111yescharacteristic
883C2×C42C22×D1112yes—
884C2×C42C22×D1111yescharacteristic
885#95—112no—
886#95—112no—
887#95—112no—
888#95—112no—
889#95—112no—
890#95—112no—
891#95—112no—
892#95—112no—
893#95—112no—
894#95C22×D1112yes—
895#95C22×D1112yes—
896#95C22×D1112yes—
897C2×C11—24no—
898C2×C11—44no—
899C2×C11C22×C4×D411yescharacteristic
900C2×C11C2×#51811yescharacteristic
901C2×C11#342811yescharacteristic
902C2×C11#348811yescharacteristic
903C2×C11#348811yescharacteristic
904C2×C11#349411yescharacteristic
905C2×C11#349411yescharacteristic
906D11—24no—
907D11—42no—
908D11—44no—
909C24—111no—
910C24—112no—
911C24—111no—
912C24—114no—
913C24—118no—
914C24—222no—
915C24—222no—
916C24—224no—
917C24—224no—
918C24—222no—
919C24—222no—
920C24—441no—
921C24—441no—
922C24—442no—
923C24—442no—
924C24—442no—
925C24—442no—
926C24C23×D1112yes—
927C24C23×D1111yescharacteristic
928C2×D4—24no—
929C2×D4—24no—
930C2×D4—22no—
931C2×D4—22no—
932C2×D4—118no—
933C2×D4—118no—
934C2×D4—118no—
935C2×D4—114no—
936C2×D4—118no—
937C2×D4—2232no—
938C2×D4—224no—
939C2×D4—224no—
940C2×D4—224no—
941C2×D4—224no—
942C2×D4—222no—
943C2×D4—222no—
944C2×D4—442no—
945C2×D4—442no—
946C2×D4—442no—
947C2×D4—442no—
948C2×D4—4432no—
949C2×D4C2×C4×D1118yes—
950C2×D4C2×C4×D1114yes—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—24no—
958C22×C4—41no—
959C22×C4—41no—
960C22×C4—42no—
961C22×C4—42no—
962C22×C4—111no—
963C22×C4—114no—
964C22×C4—114no—
965C22×C4—114no—
966C22×C4—114no—
967C22×C4—112no—
968C22×C4—111no—
969C22×C4—111no—
970C22×C4—111no—
971C22×C4—114no—
972C22×C4—114no—
973C22×C4—114no—
974C22×C4—118no—
975C22×C4—112no—
976C22×C4—112no—
977C22×C4—111no—
978C22×C4—111no—
979C22×C4—222no—
980C22×C4—222no—
981C22×C4—2232no—
982C22×C4—224no—
983C22×C4—222no—
984C22×C4—222no—
985C22×C4—222no—
986C22×C4—222no—
987C22×C4—222no—
988C22×C4—222no—
989C22×C4—224no—
990C22×C4—222no—
991C22×C4—222no—
992C22×C4—222no—
993C22×C4—222no—
994C22×C4—224no—
995C22×C4—442no—
996C22×C4—442no—
997C22×C4—442no—
998C22×C4—442no—
999C22×C4—442no—
1000C22×C4—442no—
1001C22×C4—441no—
1002C22×C4—441no—
1003C22×C4—442no—
1004C22×C4—442no—
1005C22×C4C2×C4×D1114yes—
1006C22×C4C23×D1112yes—
1007C22×C4C23×D1112yes—
1008C22×C4C23×D1111yescharacteristic
1009C22×C4C23×D1111yescharacteristic
1010C22×C4C23×D1111yescharacteristic
1011C22×C4C23×D1112yes—
1012C22×C4C23×D1111yescharacteristic
1013C22×C4C23×D1111yescharacteristic
1014C22×C4C23×D1111yescharacteristic
1015C4⋊C4—22no—
1016C4⋊C4—22no—
1017C4⋊C4—42no—
1018C4⋊C4—118no—
1019C4⋊C4—114no—
1020C4⋊C4—114no—
1021C4⋊C4—114no—
1022C4⋊C4—222no—
1023C4⋊C4—222no—
1024C4⋊C4—222no—
1025C4⋊C4—222no—
1026C4⋊C4—222no—
1027C4⋊C4—222no—
1028C4⋊C4—222no—
1029C4⋊C4—222no—
1030C4⋊C4—442no—
1031C4⋊C4—442no—
1032C4⋊C4—442no—
1033C4⋊C4C2×C4×D1114yes—
1034C22⋊C4—24no—
1035C22⋊C4—24no—
1036C22⋊C4—42no—
1037C22⋊C4—42no—
1038C22⋊C4—118no—
1039C22⋊C4—118no—
1040C22⋊C4—118no—
1041C22⋊C4—114no—
1042C22⋊C4—114no—
1043C22⋊C4—222no—
1044C22⋊C4—222no—
1045C22⋊C4—224no—
1046C22⋊C4—224no—
1047C22⋊C4—222no—
1048C22⋊C4—222no—
1049C22⋊C4—224no—
1050C22⋊C4—224no—
1051C22⋊C4—224no—
1052C22⋊C4—222no—
1053C22⋊C4—222no—
1054C22⋊C4—224no—
1055C22⋊C4—442no—
1056C22⋊C4—442no—
1057C22⋊C4—442no—
1058C22⋊C4—442no—
1059C22⋊C4—442no—
1060C22⋊C4—442no—
1061C22⋊C4—442no—
1062C22⋊C4—442no—
1063C22⋊C4C2×C4×D1118yes—
1064C42—22no—
1065C42—22no—
1066C42—22no—
1067C42—42no—
1068C42—114no—
1069C42—222no—
1070C42—222no—
1071C42—224no—
1072C42—224no—
1073C42—222no—
1074C42—442no—
1075C42—442no—
1076C42—442no—
1077C42D4×D1114yescomplemented
1078C11#3420411yescharacteristic, complemented, Sylow
1079C23—21no—
1080C23—21no—
1081C23—21no—
1082C23—21no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—112no—
1090C23—112no—
1091C23—112no—
1092C23—114no—
1093C23—112no—
1094C23—228no—
1095C23—2216no—
1096C23—221no—
1097C23—221no—
1098C23—221no—
1099C23—221no—
1100C23—228no—
1101C23—221no—
1102C23—222no—
1103C23—222no—
1104C23—221no—
1105C23—221no—
1106C23—222no—
1107C23—222no—
1108C23—221no—
1109C23—221no—
1110C23—221no—
1111C23—222no—
1112C23—222no—
1113C23—444no—
1114C23—448no—
1115C23—448no—
1116C23—444no—
1117C23—444no—
1118C23—444no—
1119C23—444no—
1120C23—884no—
1121C23—884no—
1122C23—884no—
1123C23—884no—
1124C23C22×C4×D1114yes—
1125C23C22×C4×D1112yes—
1126C23#6703712yes—
1127C23#6704212yes—
1128C23C24×D1111yescharacteristic
1129D4—216no—
1130D4—28no—
1131D4—2216no—
1132D4—2216no—
1133D4—228no—
1134D4—448no—
1135D4—448no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—22no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—22no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—28no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—22no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—21no—
1151C2×C4—22no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—22no—
1155C2×C4—21no—
1156C2×C4—22no—
1157C2×C4—44no—
1158C2×C4—44no—
1159C2×C4—84no—
1160C2×C4—112no—
1161C2×C4—112no—
1162C2×C4—112no—
1163C2×C4—1116no—
1164C2×C4—112no—
1165C2×C4—114no—
1166C2×C4—112no—
1167C2×C4—112no—
1168C2×C4—228no—
1169C2×C4—228no—
1170C2×C4—228no—
1171C2×C4—221no—
1172C2×C4—221no—
1173C2×C4—222no—
1174C2×C4—221no—
1175C2×C4—221no—
1176C2×C4—222no—
1177C2×C4—221no—
1178C2×C4—221no—
1179C2×C4—228no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—222no—
1183C2×C4—221no—
1184C2×C4—222no—
1185C2×C4—222no—
1186C2×C4—222no—
1187C2×C4—221no—
1188C2×C4—222no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—222no—
1192C2×C4—448no—
1193C2×C4—444no—
1194C2×C4—444no—
1195C2×C4—884no—
1196C2×C4—884no—
1197C2×C4—884no—
1198C2×C4C22×C4×D1112yes—
1199C2×C4C22×C4×D1114yes—
1200C2×C4C22×C4×D1112yes—
1201C2×C4C2×D4×D1112yes—
1202C2×C4C2×D4×D1112yes—
1203C2×C4C2×D4×D1112yes—
1204C2×C4#41×D1112yes—
1205C22—22no—
1206C22—22no—
1207C22—22no—
1208C22—22no—
1209C22—22no—
1210C22—22no—
1211C22—24no—
1212C22—24no—
1213C22—24no—
1214C22—42no—
1215C22—42no—
1216C22—42no—
1217C22—42no—
1218C22—114no—
1219C22—222no—
1220C22—222no—
1221C22—222no—
1222C22—222no—
1223C22—222no—
1224C22—222no—
1225C22—222no—
1226C22—224no—
1227C22—224no—
1228C22—222no—
1229C22—222no—
1230C22—224no—
1231C22—4416no—
1232C22—442no—
1233C22—441no—
1234C22—442no—
1235C22—441no—
1236C22—441no—
1237C22—442no—
1238C22—441no—
1239C22—442no—
1240C22—8816no—
1241C22#1062307614yescomplemented
1242C22C23×C4×D1111yescharacteristic
1243C22C22×D4×D1111yescharacteristic
1244C22C2×#6703711yescharacteristic
1245C22C2×#41×D1111yescharacteristic
1246C22C2×#6704211yescharacteristic
1247C22#1062345311yescharacteristic
1248C22#1062345311yescharacteristic
1249C4—22no—
1250C4—22no—
1251C4—22no—
1252C4—24no—
1253C4—41no—
1254C4—41no—
1255C4—42no—
1256C4—42no—
1257C4—114no—
1258C4—222no—
1259C4—222no—
1260C4—222no—
1261C4—224no—
1262C4—441no—
1263C4—442no—
1264C4—441no—
1265C4—442no—
1266C4C4×D4×D1114yes—
1267C2—24no—
1268C2—44no—
1269C2—224no—
1270C2—442no—
1271C2—444no—
1272C2C2×C4×D4×D1111yescharacteristic
1273C2C2×#1062307611yescharacteristic
1274C2#1308181511yescharacteristic
1275C2#1308227711yescharacteristic
1276C2#1308228111yescharacteristic
1277C2#1308233911yescharacteristic
1278C2#1308234611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#121C2
socle, cosocleC23×C11C25
prime radicalC2×D11×#121C2
hypercenterC4×#121D11
hypocenterC11#34204
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×#10623076C2semidirect
3. C22×#66925C2semidirect
4. #13071655C2semidirect
5. #13071649C2semidirect
6. #13071633C2semidirect
7. #13071627C2semidirect
8. #13071460C2semidirect
9. #13071459C2semidirect
10. #13071434C2semidirect
11. D4×(C2×D11)⋊C4C2semidirect
12. #13071312C2semidirect
13. #13071310C2semidirect
14. #13071307C2semidirect
15. #13071303C2semidirect
16. #13071231C2semidirect
17. #13071195C2semidirect
18. #121×Dic11C2semidirect
19. C4×#66983C2semidirect
20. #13071122C2semidirect
21. #13070998C2semidirect
22. #13070970C2semidirect
23. C4×C11×#121C2semidirect
28. C2×C4×D4×C11C22semidirect
29. C2×C4×D4×C11C22semidirect
30. C22×C42×C11C22semidirect
33. C2×D4×Dic11C22semidirect
34. C2×D4×Dic11C22semidirect
36. C2×C4×C22⋊D11C22semidirect
37. C2×C4×C22⋊D11C22semidirect
41. C22×Dic11⋊C4C22semidirect
42. C22×Dic11⋊C4C22semidirect
43. C22×C4×Dic11C22semidirect
44. D11×#121C4semidirect
47. C2×#66946C22semidirect
52. C2×(C22⋊D11)⋊C4C22semidirect
53. C2×(C22⋊D11)⋊C4C22semidirect
56. C2×C4×D44C22semidirect
62. C2×#66925C22semidirect
63. C2×#66925C22semidirect
64. C2×#66925C22semidirect
65. C2×#66925C22semidirect
66. C11×#390C22semidirect
67. C11×#389C22semidirect
68. C11×#388C22semidirect
69. C11×#386C22semidirect
70. C11×#380C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. C4×C11×C22⋊C4C22semidirect
73. #10622834C22semidirect
74. #10622833C22semidirect
75. #10622826C22semidirect
76. #10622826C22semidirect
77. #10622825C22semidirect
78. #10622823C22semidirect
79. #10622602C22semidirect
80. #10622601C22semidirect
81. #10622601C22semidirect
83. #10622600C22semidirect
84. #10622600C22semidirect
85. #10622598C22semidirect
86. C4⋊C4×Dic11C22semidirect
87. C4⋊C4×Dic11C22semidirect
88. #10622586C22semidirect
89. #10622585C22semidirect
90. #10622571C22semidirect
91. #10622571C22semidirect
92. #10622570C22semidirect
93. #10622570C22semidirect
94. #10622570C22semidirect
95. #10622570C22semidirect
99. #10622564C22semidirect
100. #10622559C22semidirect
101. #10622558C22semidirect
102. #10622557C22semidirect
103. C22⋊C4×Dic11C22semidirect
104. C22⋊C4×Dic11C22semidirect
105. #10622553C22semidirect
106. #10622553C22semidirect
107. #10622552C22semidirect
108. #10622552C22semidirect
110. C4×(C2×D11)⋊C4C22semidirect
111. C4×C4⋊Dic11C22semidirect
112. C4×Dic11⋊C4C22semidirect
113. #10622541C22semidirect
114. #10622282C22semidirect
115. #10622282C22semidirect
116. #10622281C22semidirect
119. #10622279C22semidirect
120. #10622279C22semidirect
121. #10622278C22semidirect
122. #10622278C22semidirect
124. #10622262C22semidirect
125. #10622260C22semidirect
145. C2×D4×D11C2×C4semidirect
146. C2×D4×D11C2×C4semidirect
151. C22×C4×D11C2×C4semidirect
159. C11×#121C2×C4semidirect
182. #66992C2×C4semidirect
183. #66991C2×C4semidirect
186. #66983C2×C4semidirect
239. #66948C2×C4semidirect
243. C4⋊C4×D11C2×C4semidirect
244. #66937C2×C4semidirect
248. C22⋊C4×D11C2×C4semidirect
257. #66925D4semidirect
390. C42×C11C2×D4semidirect
429. Dic11⋊C4C2×D4semidirect
430. Dic11⋊C4C2×D4semidirect
439. C4×Dic11C2×D4semidirect
460. C4×#121D11semidirect
588. C4×D11C4×D4semidirect
608. C2×C4×D4C2×D11semidirect
609. C2×C4×D4C2×D11semidirect
630. C22×C42C2×D11semidirect
640. #390C2×D11semidirect
646. #389C2×D11semidirect
654. #388C2×D11semidirect
662. #386C2×D11semidirect
673. #380C2×D11semidirect
682. C4×C4⋊C4C2×D11semidirect
690. C4×C22⋊C4C2×D11semidirect
704. C22×C11#518semidirect
791. #121C4×D11semidirect
1077. C42D4×D11semidirect
1078. C11#34204semidirect
1241. C22#10623076semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1212
C2×#106230762
C22×#669252
#130716552
#130716492
#130716332
#130716272
#130714602
#130714592
#130714342
D4×(C2×D11)⋊C42
#130713122
#130713102
#130713072
#130713032
#130712312
#130711952
#121×Dic112
C4×#669832
#130711222
#130709982
#130709702
C4×C11×#1212
#3420411