Finite Group Databasebeta

← C2×#13077529 #15618090

Subgroups — C2×#13077529 #15618090

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67003C211yesmaximal, characteristic
2C2×#10623350C211yesmaximal, characteristic, complemented
3C2×#10623276C211yesmaximal, characteristic, complemented
4#13077529C2116yesmaximal, direct product factor
5C2×#10622436C214yesmaximal, complemented
6C2×#10622437C214yesmaximal, complemented
7C22×#66886C211yesmaximal, characteristic, complemented
8C2×#10622618C211yesmaximal, characteristic, complemented
9C2×#10622610C211yesmaximal, characteristic, complemented
10C2×C11×#421C211yesmaximal, characteristic, complemented
11C22×C11×#41C2211yescharacteristic
12C22×#4339C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C2×C11×#117C2211yescharacteristic
15C2×#67003C412yescomplemented
16C2×#67003C412yescomplemented
17C2×#67003C418yescomplemented
18C2×#67003C2212yes—
19C2×#67003C2212yes—
20C2×#67003C2218yes—
21#10623350—24no—
22#10623350C2218yescomplemented
23C2×#67001—22no—
24C2×#67001C2214yescomplemented
25C22×#4326C411yescharacteristic, complemented
26C22×#4325C411yescharacteristic, complemented
27C22×#4324C411yescharacteristic, complemented
28C22×#4323C411yescharacteristic, complemented
29C22×#4318—22no—
30C22×#4318C2211yescharacteristic
31C22×#4318C2211yescharacteristic
32C23×C11⋊C8C2211yescharacteristic
33#10623276—24no—
34#10623276C2218yescomplemented
35C2×#66960C2214yescomplemented
36C2×M16×D11—22no—
37C2×#66954—22no—
38C11×#421C2218yescomplemented
39C2×C11×#104C2214yescomplemented
40C2×#66886C2212yescomplemented
41C2×#66886C2218yescomplemented
42C2×#66886C2212yescomplemented
43#10622618C2218yescomplemented
44#10622610C2218yescomplemented
45C2×#66869C2214yescomplemented
46C2×#66867C2212yescomplemented
47C2×C4×C11⋊C8C2212yescomplemented
48#10622437C22132yescomplemented
49#10622436C22132yescomplemented
50C2×C11×#41—21no—
51C2×C11×#41—22no—
52C2×C11×#41—21no—
53C2×C11×#41—22no—
54C2×C11×#41C2×C412yes—
55C2×C11×#41C2×C414yes—
56C2×C11×#41C2312yes—
57C2×C11×#41C2314yes—
58C22×Q8×C11C2×C411yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11C2×C411yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C2×#4339—21no—
65C2×#4339—22no—
66C2×#4339—21no—
67C2×#4339—22no—
68C2×#4339C2×C412yes—
69C2×#4339C2×C414yes—
70C2×#4339C2312yes—
71C2×#4339C2314yes—
72C22×D44C2×C411yescharacteristic
73C22×C4×D11—21no—
74C22×Dic22C2×C411yescharacteristic
75C2×C11×M16—21no—
76C2×C11×M16—22no—
77C2×C11×M16C2312yes—
78C2×C11×M16C2314yes—
79C22×C8×C11—21no—
80C11×#117—22no—
81C11×#117C2314yes—
82C2×C11×C4⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C42×C11C2312yes—
85#67003C2×C418yes—
86#67003C2×C418yes—
87#67003C2×C4116yescomplemented
88#67003C2×C4116yescomplemented
89#67003C2318yes—
90#67003C2318yes—
91#67001—216no—
92#67001—28no—
93#67001C23116yescomplemented
94C2×#4326C2×C412yes—
95C2×#4326C2×C412yes—
96C2×#4326C2×C418yescomplemented
97C2×#4325C2×C412yes—
98C2×#4325C2×C412yes—
99C2×#4325C2×C418yescomplemented
100C2×#4324C2×C412yes—
101C2×#4324C2×C412yes—
102C2×#4324C2×C418yescomplemented
103C2×#4323C2×C412yes—
104C2×#4323C2×C412yes—
105C2×#4323C2×C418yescomplemented
106C2×#4318—21no—
107C2×#4318—22no—
108C2×#4318—216no—
109C2×#4318—24no—
110C2×#4318D412yes—
111C2×#4318D412yes—
112C2×#4318D414yes—
113C2×#4318C2312yes—
114C2×#4318C2314yes—
115C2×#4318C2314yes—
116C22×C11⋊C8—21no—
117C22×C11⋊C8—24no—
118C22×C11⋊C8C2×C411yescharacteristic
119C22×C11⋊C8C2×C411yescharacteristic
120C22×C11⋊C8C2×C411yescharacteristic
121C22×C11⋊C8C2×C411yescharacteristic
122C22×C11⋊C8C2×C414yes—
123C22×C11⋊C8C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2314yes—
126C22×C11⋊C8C2312yes—
127#66960—28no—
128#66960C23116yescomplemented
129M16×D11—216no—
130#66954—216no—
131C2×#4313—24no—
132C2×C8×D11—24no—
133C11×#104C23116yescomplemented
134#66886C2318yescomplemented
135#66886C2318yescomplemented
136#66869C23116yescomplemented
137#66867C2318yescomplemented
138C4×C11⋊C8C2318yescomplemented
139C2×#2957—111nomaximal, Sylow
140C24×C11—21no—
141C24×C11#4111yescharacteristic
142C23×D11—21no—
143C11×#41—24no—
144C11×#41—24no—
145C11×#41—24no—
146C11×#41—24no—
147C11×#41—22no—
148C11×#41—22no—
149C11×#41—24no—
150C11×#41C22×C414yes—
151C11×#41C22×C418yes—
152C11×#41C2414yes—
153C2×Q8×C11—21no—
154C2×Q8×C11—22no—
155C2×Q8×C11C22×C412yes—
156C2×Q8×C11C22×C414yes—
157C2×D4×C11—22no—
158C2×D4×C11—24no—
159C2×D4×C11—22no—
160C2×D4×C11—24no—
161C2×D4×C11—21no—
162C2×D4×C11—22no—
163C2×D4×C11C22×C412yes—
164C2×D4×C11C22×C414yes—
165C22×C4×C11—21no—
166C22×C4×C11—22no—
167C22×C4×C11—24no—
168C22×C4×C11—22no—
169C22×C4×C11—24no—
170C22×C4×C11—22no—
171C22×C4×C11C22×C411yescharacteristic
172C22×C4×C11C22×C411yescharacteristic
173C22×C4×C11C22×C412yes—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D412yes—
177C22×C4×C11#4111yescharacteristic
178C22×C4×C11#4112yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2412yes—
181C2×C22⋊D11—22no—
182C2×C22⋊D11—24no—
183C2×C22⋊D11—22no—
184C2×C22⋊D11—24no—
185C22×Dic11—21no—
186#4339—24no—
187#4339—24no—
188#4339—24no—
189#4339—24no—
190#4339—22no—
191#4339—22no—
192#4339—24no—
193#4339C22×C414yes—
194#4339C22×C418yes—
195#4339C2414yes—
196C2×D44—21no—
197C2×D44—22no—
198C2×D44C22×C412yes—
199C2×D44C22×C414yes—
200C2×C4×D11—22no—
201C2×C4×D11—24no—
202C2×C4×D11—22no—
203C2×C4×D11—24no—
204C2×Dic22—21no—
205C2×Dic22—22no—
206C2×Dic22C22×C412yes—
207C2×Dic22C22×C414yes—
208C11×M16—24no—
209C11×M16—22no—
210C11×M16C2414yes—
211C2×C8×C11—22no—
212C2×C8×C11—24no—
213C11×C4⋊C4—24no—
214C11×C22⋊C4—24no—
215C42×C11—22no—
216C42×C11C2414yes—
217#4326C22×C418yes—
218#4326C22×C418yes—
219#4325C22×C418yes—
220#4325C22×C418yes—
221#4324C22×C418yes—
222#4324C22×C418yes—
223#4323C22×C418yes—
224#4323C22×C418yes—
225#4318—216no—
226#4318—24no—
227#4318—22no—
228#4318C2×D418yes—
229#4318C2×D418yes—
230#4318C2414yes—
231C2×C11⋊C8—216no—
232C2×C11⋊C8—22no—
233C2×C11⋊C8—24no—
234C2×C11⋊C8C22×C411yescharacteristic
235C2×C11⋊C8C22×C411yescharacteristic
236C2×C11⋊C8C22×C414yes—
237C2×C11⋊C8C22×C411yescharacteristic
238C2×C11⋊C8C22×C411yescharacteristic
239C2×C11⋊C8C22×C414yes—
240C2×C11⋊C8C22×C412yes—
241C2×C11⋊C8C22×C412yes—
242C2×C11⋊C8C22×C414yes—
243C2×C11⋊C8C22×C414yes—
244C2×C11⋊C8C2×D414yes—
245C2×C11⋊C8C2×D414yes—
246C2×C11⋊C8C2412yes—
247C2×C11⋊C8C2412yes—
248C2×C11⋊C8C2414yes—
249#4313—216no—
250C8×D11—216no—
251C22×#135—111no—
252C2×#568—111no—
253C2×#568—111no—
254#2957—1116no—
255C2×#444—114no—
256C2×#443—114no—
257C22×#108—111no—
258C2×#421—111no—
259C2×#421D1111yescharacteristic, complemented
260C2×#405—111no—
261C23×C11—22no—
262C23×C11—24no—
263C23×C11—42no—
264C23×C11—82no—
265C23×C11C4×D411yescharacteristic
266C23×C11C4×D411yescharacteristic
267C23×C11C4×D412yes—
268C23×C11C2×#4111yescharacteristic
269C23×C11C2×#4112yes—
270C22×D11—22no—
271C22×D11—24no—
272C22×D11—82no—
273Q8×C11—22no—
274Q8×C11—24no—
275Q8×C11C23×C414yes—
276D4×C11—24no—
277D4×C11—28no—
278D4×C11—24no—
279D4×C11—22no—
280D4×C11—24no—
281D4×C11C23×C414yes—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—28no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—44no—
289C2×C4×C11C4×D412yes—
290C2×C4×C11C4×D411yescharacteristic
291C2×C4×C11C4×D412yes—
292C2×C4×C11C4×D411yescharacteristic
293C2×C4×C11C4×D412yes—
294C2×C4×C11C4×D412yes—
295C2×C4×C11C4×D412yes—
296C2×C4×C11C23×C412yes—
297C2×C4×C11C23×C411yescharacteristic
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C23×C412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4112yes—
306C2×C4×C11C2511yescharacteristic
307C22⋊D11—28no—
308C22⋊D11—24no—
309C22⋊D11—24no—
310C2×Dic11—24no—
311C2×Dic11—22no—
312D44—22no—
313D44—24no—
314D44C23×C414yes—
315C4×D11—24no—
316C4×D11—28no—
317C4×D11—24no—
318Dic22—22no—
319Dic22—24no—
320Dic22C23×C414yes—
321C8×C11—24no—
322C11⋊C8—24no—
323C11⋊C8C23×C412yes—
324C11⋊C8C23×C412yes—
325C11⋊C8C23×C412yes—
326C11⋊C8C23×C412yes—
327C11⋊C8C22×D418yes—
328C22×#41—111no—
329C22×#41C2×D1111yescharacteristic
330C2×#135—112no—
331C2×#135—112no—
332C2×#135—118no—
333C2×#135—112no—
334C2×#135—112no—
335C2×#135—118no—
336C22×Q16—111no—
337C22×SD16—111no—
338C22×SD16—111no—
339C22×D8—111no—
340#568—118no—
341#568—118no—
342#568—224no—
343#568—224no—
344C2×#131—114no—
345C2×#131—114no—
346C2×#131—222no—
347C2×#131—222no—
348C22×M16—111no—
349C22×M16—111no—
350C22×M16—222no—
351C22×M16—222no—
352C22×M16C2×D1111yescharacteristic
353C23×C8—111no—
354C2×#117C2×D1111yescharacteristic
355#444—1132no—
356#443—1132no—
357C2×#108—112no—
358C2×#108—112no—
359C2×#108—118no—
360#421—118no—
361#421C2×D1118yescomplemented
362C2×#104—114no—
363C2×#104C2×D1114yescomplemented
364#405—118no—
365C2×#97—112no—
366C2×C4×C8—112no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—24no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11—44no—
374C22×C11—84no—
375C22×C11C2×C4×D412yes—
376C22×C11C2×C4×D412yes—
377C22×C11C2×C4×D411yescharacteristic
378C22×C11C2×C4×D411yescharacteristic
379C22×C11C22×#4111yescharacteristic
380C2×D11—24no—
381C2×D11—44no—
382C2×D11—84no—
383C4×C11—24no—
384C4×C11—44no—
385C4×C11C2×C4×D412yes—
386C4×C11C2×C4×D411yescharacteristic
387C4×C11C2×C4×D412yes—
388C4×C11C2×C4×D411yescharacteristic
389C4×C11C24×C411yescharacteristic
390C4×C11C23×D411yescharacteristic
391Dic11—24no—
392C2×#41—21no—
393C2×#41—22no—
394C2×#41—21no—
395C2×#41—22no—
396C2×#41—112no—
397C2×#41—114no—
398C2×#41—112no—
399C2×#41—114no—
400C2×#41—221no—
401C2×#41—222no—
402C2×#41—221no—
403C2×#41—222no—
404C2×#41C4×D1112yes—
405C2×#41C4×D1114yes—
406C2×#41C22×D1112yes—
407C2×#41C22×D1114yes—
408C22×Q8—111no—
409C22×Q8C4×D1111yescharacteristic
410C22×D4—21no—
411C22×D4—111no—
412C22×D4—221no—
413C22×D4C4×D1111yescharacteristic
414C23×C4—21no—
415C23×C4—221no—
416C23×C4C22×D1111yescharacteristic
417#135—118no—
418#135—118no—
419#135—1116no—
420#135—1116no—
421#135—118no—
422#135—118no—
423C2×Q16—112no—
424C2×Q16—112no—
425C2×Q16—118no—
426C2×SD16—112no—
427C2×SD16—112no—
428C2×SD16—118no—
429C2×SD16—112no—
430C2×SD16—112no—
431C2×SD16—118no—
432C2×D8—112no—
433C2×D8—112no—
434C2×D8—118no—
435#131—1116no—
436#131—1116no—
437#131—2216no—
438#131—228no—
439#131—228no—
440#131—2216no—
441C2×M16—21no—
442C2×M16—22no—
443C2×M16—112no—
444C2×M16—112no—
445C2×M16—114no—
446C2×M16—114no—
447C2×M16—112no—
448C2×M16—114no—
449C2×M16—224no—
450C2×M16—224no—
451C2×M16—2216no—
452C2×M16—2216no—
453C2×M16—221no—
454C2×M16—222no—
455C2×M16C22×D1112yes—
456C2×M16C22×D1114yes—
457C22×C8—21no—
458C22×C8—111no—
459C22×C8—111no—
460C22×C8—111no—
461C22×C8—111no—
462C22×C8—114no—
463C22×C8—111no—
464C22×C8—111no—
465C22×C8—114no—
466C22×C8—112no—
467C22×C8—224no—
468C22×C8—224no—
469C22×C8—221no—
470#117—22no—
471#117C22×D1114yes—
472C2×C4⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C42C22×D1112yes—
475#108—118no—
476#108—118no—
477#104—1116no—
478#104C22×D11116yescomplemented
479#97—118no—
480C4×C8—118no—
481C2×C11—21no—
482C2×C11—22no—
483C2×C11—21no—
484C2×C11—22no—
485C2×C11—44no—
486C2×C11#295712yescomplemented
487C2×C11C22×C4×D411yescharacteristic
488D11—44no—
489C24—21no—
490C24—221no—
491C24#434111yescharacteristic
492#41—24no—
493#41—24no—
494#41—24no—
495#41—24no—
496#41—22no—
497#41—22no—
498#41—24no—
499#41—114no—
500#41—118no—
501#41—114no—
502#41—224no—
503#41—224no—
504#41—224no—
505#41—224no—
506#41—222no—
507#41—222no—
508#41—224no—
509#41C2×C4×D1114yes—
510#41C2×C4×D1118yes—
511#41C23×D1114yes—
512C2×Q8—21no—
513C2×Q8—22no—
514C2×Q8—112no—
515C2×Q8—114no—
516C2×Q8—221no—
517C2×Q8—222no—
518C2×Q8C2×C4×D1112yes—
519C2×Q8C2×C4×D1114yes—
520C2×D4—22no—
521C2×D4—24no—
522C2×D4—22no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—112no—
527C2×D4—114no—
528C2×D4—222no—
529C2×D4—224no—
530C2×D4—222no—
531C2×D4—224no—
532C2×D4—221no—
533C2×D4—222no—
534C2×D4C2×C4×D1112yes—
535C2×D4C2×C4×D1114yes—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—221no—
543C22×C4—222no—
544C22×C4—224no—
545C22×C4—224no—
546C22×C4—222no—
547C22×C4C2×C4×D1111yescharacteristic
548C22×C4C2×C4×D1111yescharacteristic
549C22×C4C2×C4×D1112yes—
550C22×C4D4×D1112yes—
551C22×C4D4×D1111yescharacteristic
552C22×C4D4×D1111yescharacteristic
553C22×C4#434111yescharacteristic
554C22×C4#434112yes—
555C22×C4C23×D1112yes—
556C22×C4C23×D1111yescharacteristic
557Q16—118no—
558Q16—118no—
559SD16—118no—
560SD16—118no—
561SD16—118no—
562SD16—118no—
563D8—118no—
564D8—118no—
565M16—24no—
566M16—22no—
567M16—118no—
568M16—118no—
569M16—114no—
570M16—2216no—
571M16—2216no—
572M16—224no—
573M16—222no—
574M16C23×D1114yes—
575C2×C8—24no—
576C2×C8—22no—
577C2×C8—111no—
578C2×C8—111no—
579C2×C8—114no—
580C2×C8—111no—
581C2×C8—111no—
582C2×C8—114no—
583C2×C8—112no—
584C2×C8—112no—
585C2×C8—114no—
586C2×C8—114no—
587C2×C8—114no—
588C2×C8—114no—
589C2×C8—112no—
590C2×C8—114no—
591C2×C8—112no—
592C2×C8—2216no—
593C2×C8—2216no—
594C2×C8—224no—
595C2×C8—222no—
596C4⋊C4—24no—
597C22⋊C4—24no—
598C42—22no—
599C42C23×D1114yes—
600C11C2×#295711yescharacteristic, complemented, Sylow
601C23—22no—
602C23—24no—
603C23—42no—
604C23—82no—
605C23—222no—
606C23—224no—
607C23—882no—
608C23(C22⋊D11)⋊C411yescharacteristic
609C23(C22⋊D11)⋊C411yescharacteristic
610C23(C22⋊D11)⋊C412yes—
611C23C2×#434111yescharacteristic
612C23C2×#434112yes—
613Q8—24no—
614Q8—22no—
615Q8—114no—
616Q8—224no—
617Q8—222no—
618Q8C22×C4×D1114yes—
619D4—28no—
620D4—24no—
621D4—24no—
622D4—24no—
623D4—22no—
624D4—114no—
625D4—228no—
626D4—224no—
627D4—224no—
628D4—224no—
629D4—222no—
630D4C22×C4×D1114yes—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—44no—
638C2×C4—224no—
639C2×C4—222no—
640C2×C4—228no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4(C22⋊D11)⋊C411yescharacteristic
644C2×C4(C22⋊D11)⋊C412yes—
645C2×C4(C22⋊D11)⋊C412yes—
646C2×C4(C22⋊D11)⋊C411yescharacteristic
647C2×C4(C22⋊D11)⋊C412yes—
648C2×C4(C22⋊D11)⋊C412yes—
649C2×C4(C22⋊D11)⋊C412yes—
650C2×C4C22×C4×D1112yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C22×C4×D1112yes—
653C2×C4C22×C4×D1111yescharacteristic
654C2×C4C2×D4×D1112yes—
655C2×C4C2×D4×D1111yescharacteristic
656C2×C4C2×D4×D1112yes—
657C2×C4C2×D4×D1111yescharacteristic
658C2×C4C2×#434111yescharacteristic
659C2×C4C2×#434112yes—
660C2×C4C24×D1111yescharacteristic
661C8—24no—
662C8—112no—
663C8—112no—
664C8—112no—
665C8—112no—
666C8—118no—
667C8—224no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—44no—
675C22—84no—
676C22—224no—
677C22—444no—
678C22—884no—
679C22C2×(C22⋊D11)⋊C412yes—
680C22C2×(C22⋊D11)⋊C412yes—
681C22C2×(C22⋊D11)⋊C411yescharacteristic
682C22C2×(C22⋊D11)⋊C411yescharacteristic
683C22C22×#434111yescharacteristic
684C4—24no—
685C4—44no—
686C4—224no—
687C4C2×(C22⋊D11)⋊C412yes—
688C4C2×(C22⋊D11)⋊C411yescharacteristic
689C4C2×(C22⋊D11)⋊C412yes—
690C4C2×(C22⋊D11)⋊C411yescharacteristic
691C4C23×C4×D1111yescharacteristic
692C4C22×D4×D1111yescharacteristic
693C2—21no—
694C2—22no—
695C2—21no—
696C2—22no—
697C2—44no—
698C2—444no—
699C2#1307752912yesdirect product factor
700C2C22×(C22⋊D11)⋊C411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC2×C11×#421C2
socleC22×C11C2×C4×D4
prime radicalC22×#67003C2
cosocleC2×C4×C11C25
hypercenterC2×#421D11
hypocenterC11C2×#2957
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
2. C2×#10623350C2semidirect
3. C2×#10623276C2semidirect
4. #13077529C2direct (N × H)
5. C2×#10622436C2semidirect
6. C2×#10622437C2semidirect
7. C22×#66886C2semidirect
8. C2×#10622618C2semidirect
9. C2×#10622610C2semidirect
10. C2×C11×#421C2semidirect
15. C2×#67003C4semidirect
16. C2×#67003C4semidirect
17. C2×#67003C4semidirect
22. #10623350C22semidirect
24. C2×#67001C22semidirect
25. C22×#4326C4semidirect
26. C22×#4325C4semidirect
27. C22×#4324C4semidirect
28. C22×#4323C4semidirect
34. #10623276C22semidirect
35. C2×#66960C22semidirect
38. C11×#421C22semidirect
39. C2×C11×#104C22semidirect
40. C2×#66886C22semidirect
41. C2×#66886C22semidirect
42. C2×#66886C22semidirect
43. #10622618C22semidirect
44. #10622610C22semidirect
45. C2×#66869C22semidirect
46. C2×#66867C22semidirect
47. C2×C4×C11⋊C8C22semidirect
48. #10622437C22semidirect
49. #10622436C22semidirect
87. #67003C2×C4semidirect
88. #67003C2×C4semidirect
93. #67001C23semidirect
96. C2×#4326C2×C4semidirect
99. C2×#4325C2×C4semidirect
102. C2×#4324C2×C4semidirect
105. C2×#4323C2×C4semidirect
128. #66960C23semidirect
133. C11×#104C23semidirect
134. #66886C23semidirect
135. #66886C23semidirect
136. #66869C23semidirect
137. #66867C23semidirect
138. C4×C11⋊C8C23semidirect
259. C2×#421D11semidirect
361. #421C2×D11semidirect
363. C2×#104C2×D11semidirect
478. #104C22×D11semidirect
486. C2×C11#2957semidirect
600. C11C2×#2957semidirect
699. C2#13077529direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670032
C2×#106233502
C2×#106232762
#130775292
C2×#106224362
C2×#106224372
C22×#668862
C2×#106226182
C2×#106226102
C2×C11×#4212
C2×#295711