Finite Group Databasebeta

← #14760243

Subgroups — #14760243

Order 2816.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078067C211yesmaximal, characteristic
2C2×#10622757C211yesmaximal, characteristic, complemented
3#13077332C211yesmaximal, characteristic, complemented
4#13077042C211yesmaximal, characteristic, complemented
5#13069533C211yesmaximal, characteristic, complemented
6#13069388C211yesmaximal, characteristic, complemented
7#13069267C211yesmaximal, characteristic, complemented
8#13069263C211yesmaximal, characteristic, complemented
9#13068945C211yesmaximal, characteristic, complemented
10#13068941C211yesmaximal, characteristic, complemented
11#13068634C211yesmaximal, characteristic, complemented
12#13068492C211yesmaximal, characteristic, complemented
13#13068460C211yesmaximal, characteristic, complemented
14#13068451C211yesmaximal, characteristic, complemented
15C2×C11×#444C211yesmaximal, characteristic, complemented
16C2×C11×#135C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C2×C11×#131C2211yescharacteristic
19#10623363C2211yescharacteristic
20#41×Dic11C2211yescharacteristic
21C2×#67003C2211yescharacteristic
22C2×#67001C2211yescharacteristic
23C2×#66954C2211yescharacteristic
24C11×#444—24no—
25C2×C11×#108C2211yescharacteristic
26C2×C11×#104C2211yescharacteristic
27C2×C11×#104C2211yescharacteristic
28C2×C11×#97C2211yescharacteristic
29C2×#66901C2211yescharacteristic
30C2×#66901C2211yescharacteristic
31#10622847C2211yescharacteristic
32#10622846C2211yescharacteristic
33#10622798C411yescharacteristic, complemented
34#10622795C411yescharacteristic, complemented
35#10622779C411yescharacteristic, complemented
36#10622778C411yescharacteristic, complemented
37#10622776C411yescharacteristic, complemented
38#10622775C411yescharacteristic, complemented
39#10622766C411yescharacteristic, complemented
40#10622763C411yescharacteristic, complemented
41#10622757—24no—
42C2×#66889C2211yescharacteristic
43#10622742C2211yescharacteristic
44#10622740—21no—
45#10622740—21no—
46C2×#66886C2211yescharacteristic
47#10622735—21no—
48#10622735C2211yescharacteristic
49#10622731C2211yescharacteristic
50M16×Dic11—21no—
51M16×Dic11C2211yescharacteristic
52#10622726C2211yescharacteristic
53#10622724—21no—
54#10622724—21no—
55#10622714—21no—
56#10622714C2211yescharacteristic
57C2×#66879—21no—
58C2×#66879C2211yescharacteristic
59C2×Dic11⋊C8C2211yescharacteristic
60C2×C8×Dic11C2211yescharacteristic
61C4×Dic11⋊C4C2211yescharacteristic
62C2×#66869C2211yescharacteristic
63#10622196C2211yescharacteristic
64#10622193C2211yescharacteristic
65#10622190C2211yescharacteristic
66#10622188C2211yescharacteristic
67#10622162C2211yescharacteristic
68#10622161C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×C11×#41C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#135—22no—
73C11×#135—22no—
74C2×C11×Q16C2×C411yescharacteristic
75C2×C11×SD16C2×C411yescharacteristic
76C2×C11×SD16C2×C411yescharacteristic
77C2×C11×D8C2×C411yescharacteristic
78C11×#131—22no—
79C11×#131—22no—
80C11×#131—22no—
81C11×#131D414yescomplemented
82C2×C11×M16—21no—
83C2×C11×M16—21no—
84C2×C11×M16C2311yescharacteristic
85C2×C11×M16C2311yescharacteristic
86C22×C8×C11—21no—
87C22×C8×C11—21no—
88C22×C8×C11C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91#67003—22no—
92#67003—22no—
93#67001—22no—
94#67001—22no—
95#67000C2×C411yescharacteristic
96Q8×Dic11C2×C411yescharacteristic
97Q8×Dic11C2×C411yescharacteristic
98#66997C2×C411yescharacteristic
99C2×#4326C2×C411yescharacteristic
100C2×#4325C2×C411yescharacteristic
101#66993C2×C411yescharacteristic
102#66992—21no—
103#66992—21no—
104#66989C2×C411yescharacteristic
105D4×Dic11—21no—
106D4×Dic11—21no—
107D4×Dic11C2×C411yescharacteristic
108D4×Dic11C2×C411yescharacteristic
109C2×#4324C2×C411yescharacteristic
110C2×#4323C2×C411yescharacteristic
111C4×C22⋊D11—21no—
112C4×C22⋊D11—21no—
113#66979—21no—
114#66979C2311yescharacteristic
115C2×Dic11⋊C4—21no—
116C2×C4×Dic11—21no—
117C2×C4×Dic11C2311yescharacteristic
118C2×C4×Dic11C2311yescharacteristic
119C2×#4318—21no—
120C2×#4318C2311yescharacteristic
121C2×#4318C2311yescharacteristic
122C22×C11⋊C8—21no—
123C22×C11⋊C8C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125#66954—22no—
126#66954—22no—
127C2×#4313—21no—
128C2×C8×D11—21no—
129C11×#108—22no—
130C11×#104—22no—
131C11×#104—22no—
132C11×#97—22no—
133#66901—22no—
134#66901—22no—
135#66899C2×C411yescharacteristic
136#66899C2×C411yescharacteristic
137#66896C2×C411yescharacteristic
138#66896C2×C411yescharacteristic
139C11⋊#95—21no—
140C22⋊(C11⋊C8)—21no—
141C22⋊(C11⋊C8)—21no—
142#66889—22no—
143#66886—22no—
144#66885C2×C411yescharacteristic
145#66885C2×C411yescharacteristic
146(C2×D11)⋊C8—21no—
147(C2×D11)⋊C8—21no—
148#66880C2×C411yescharacteristic
149#66880C2×C411yescharacteristic
150#66879—21no—
151#66879—21no—
152#66879—21no—
153#66879D411yescharacteristic
154#66879D411yescharacteristic
155#66879D411yescharacteristic
156#66879D411yescharacteristic
157Dic11⋊C8—21no—
158Dic11⋊C8—21no—
159Dic11⋊C8C2×C411yescharacteristic
160Dic11⋊C8C2×C411yescharacteristic
161Dic11⋊C8C2×C411yescharacteristic
162Dic11⋊C8C2×C411yescharacteristic
163C8×Dic11—21no—
164C8×Dic11—22no—
165C8×Dic11—21no—
166C8×Dic11—21no—
167#66869—22no—
168#21519—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—21no—
172C11×#41—21no—
173C11×#41—21no—
174C11×#41—21no—
175C11×#41C2×D412yes—
176C11×#41#4112yes—
177C2×Q8×C11C22×C411yescharacteristic
178C2×Q8×C11C22×C411yescharacteristic
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11C22×C411yescharacteristic
182C2×D4×C11C22×C411yescharacteristic
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11C2411yescharacteristic
187C2×C22⋊D11—21no—
188C2×C22⋊D11—21no—
189C2×C22⋊D11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11#4111yescharacteristic
194C22×Dic11#4111yescharacteristic
195#4339—21no—
196#4339—21no—
197#4339—21no—
198#4339—21no—
199C2×D44C22×C411yescharacteristic
200C2×C4×D11—21no—
201C2×Dic22C22×C411yescharacteristic
202C11×Q16—22no—
203C11×SD16—22no—
204C11×SD16—22no—
205C11×D8—22no—
206C11×M16—24no—
207C11×M16—21no—
208C11×M16—21no—
209C11×M16—21no—
210C11×M16—42no—
211C11×M16C2×D412yes—
212C2×C8×C11—24no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—42no—
218C2×C8×C11C22×C411yescharacteristic
219C2×C8×C11C22×C411yescharacteristic
220C2×C8×C11C2×D411yescharacteristic
221C2×C8×C11C2×D411yescharacteristic
222C2×C8×C11C2×D412yes—
223C2×C8×C11#4112yes—
224C42×C11—21no—
225C42×C11—21no—
226C22⋊Dic11—21no—
227C22⋊Dic11—21no—
228C22⋊Dic11—21no—
229C22⋊Dic11—21no—
230C22⋊Dic11—21no—
231#4326—22no—
232#4325—22no—
233#4324—22no—
234#4323—22no—
235(C2×D11)⋊C4—21no—
236(C2×D11)⋊C4—21no—
237C4⋊Dic11—21no—
238C4⋊Dic11—21no—
239C4⋊Dic11C22×C411yescharacteristic
240C4⋊Dic11C22×C411yescharacteristic
241Dic11⋊C4—21no—
242Dic11⋊C4—21no—
243Dic11⋊C4—42no—
244C4×Dic11—21no—
245C4×Dic11—21no—
246C4×Dic11—21no—
247C4×Dic11—21no—
248C4×Dic11—21no—
249C4×Dic11C22×C411yescharacteristic
250C4×Dic11C22×C411yescharacteristic
251C4×Dic11C2×D411yescharacteristic
252C4×Dic11C2×D411yescharacteristic
253#4318—24no—
254#4318—21no—
255#4318—21no—
256#4318—21no—
257#4318#4112yes—
258C2×C11⋊C8—24no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8—21no—
264C2×C11⋊C8—21no—
265C2×C11⋊C8C22×C411yescharacteristic
266C2×C11⋊C8C22×C411yescharacteristic
267C2×C11⋊C8C2×D411yescharacteristic
268C2×C11⋊C8C2×D411yescharacteristic
269#4313—42no—
270C8×D11—42no—
271#3035—111no—
272C2×#444D1111yescharacteristic, complemented
273C2×#443—111no—
274#2932—111no—
275#2875—111no—
276#1980—111no—
277#1950—111no—
278#1929—111no—
279#1929—111no—
280#1876—111no—
281#1876—111no—
282#1806—111no—
283#1771—111no—
284#1765—111no—
285#1764—111no—
286C23×C11—21no—
287C23×C11—21no—
288C23×C11C2×#4111yescharacteristic
289C22×D11—21no—
290Q8×C11—21no—
291Q8×C11—21no—
292Q8×C11—21no—
293Q8×C11C4×D412yes—
294D4×C11—22no—
295D4×C11—22no—
296D4×C11—21no—
297D4×C11—21no—
298D4×C11—21no—
299D4×C11—41no—
300D4×C11—41no—
301D4×C11C4×D412yes—
302C2×C4×C11—21no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—21no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11C23×C411yescharacteristic
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11C2×#4111yescharacteristic
317C22⋊D11—41no—
318C22⋊D11—41no—
319C22⋊D11—81no—
320C22⋊D11—81no—
321C2×Dic11—22no—
322C2×Dic11—21no—
323C2×Dic11—21no—
324C2×Dic11—21no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—81no—
330C2×Dic11—81no—
331C2×Dic11C4×D411yescharacteristic
332C2×Dic11C4×D411yescharacteristic
333C2×Dic11C4×D411yescharacteristic
334C2×Dic11C4×D411yescharacteristic
335D44—21no—
336D44—21no—
337C4×D11—41no—
338C4×D11—41no—
339Dic22—21no—
340Dic22—21no—
341C8×C11—21no—
342C8×C11—21no—
343C8×C11—22no—
344C8×C11—41no—
345C8×C11#12112yes—
346C8×C11#12112yes—
347C11⋊C8—21no—
348C11⋊C8—21no—
349C11⋊C8—21no—
350C11⋊C8—22no—
351C11⋊C8—21no—
352C11⋊C8—41no—
353C2×#135—111no—
354C2×#135C2×D1111yescharacteristic
355C2×#131—111no—
356C2×#131—111no—
357C2×#131C2×D1111yescharacteristic
358C2×#131C2×D1111yescharacteristic
359#532—111no—
360C4×#41—111no—
361#464—111no—
362#464—111no—
363#463—111no—
364#463—111no—
365#462—111no—
366#461—111no—
367#460—111no—
368#459—111no—
369#444—24no—
370#443—224no—
371#435—221no—
372#435—221no—
373#435—221no—
374#435—221no—
375C2×#108—111no—
376C2×#108C2×D1111yescharacteristic
377#423—111no—
378C2×C4⋊C8—111no—
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104C2×D1111yescharacteristic
384C2×#104C2×D1111yescharacteristic
385#416—111no—
386#416—111no—
387#408—111no—
388#408—111no—
389#405—111no—
390#405—111no—
391#405—221no—
392#405—221no—
393C4×M16—111no—
394C4×M16—221no—
395C2×#97—111no—
396C2×#97—221no—
397C2×#97C2×D1111yescharacteristic
398C2×C4×C8—111no—
399C4×C4⋊C4—111no—
400#341—111no—
401#341—111no—
402#339—111no—
403#339—111no—
404#336—111no—
405#336—111no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—22no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11C2×C4×D411yescharacteristic
415C22×C11#52911yescharacteristic
416C22×C11#53211yescharacteristic
417C2×D11—41no—
418C2×D11—41no—
419C2×D11—41no—
420C4×C11—22no—
421C4×C11—41no—
422C4×C11—81no—
423C4×C11C2×C4×D411yescharacteristic
424C4×C11C4×#4111yescharacteristic
425C4×C11C2×#12111yescharacteristic
426C4×C11#52511yescharacteristic
427Dic11—21no—
428Dic11—21no—
429Dic11—21no—
430Dic11—21no—
431Dic11—42no—
432Dic11—41no—
433Dic11—41no—
434Dic11—41no—
435C2×#41—111no—
436C2×#41C22×D1111yescharacteristic
437C2×#41C22×D1111yescharacteristic
438#135—22no—
439#135—22no—
440#135—222no—
441#135—222no—
442C2×Q16—111no—
443C2×Q16C4×D1111yescharacteristic
444C2×SD16—111no—
445C2×SD16—111no—
446C2×SD16C4×D1111yescharacteristic
447C2×SD16C4×D1111yescharacteristic
448C2×D8—111no—
449C2×D8C4×D1111yescharacteristic
450#131—22no—
451#131—22no—
452#131—22no—
453#131—222no—
454#131—222no—
455#131—222no—
456#131—222no—
457#131C22⋊D1114yescomplemented
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16C22×D1111yescharacteristic
465C2×M16C22×D1111yescharacteristic
466C22×C8—21no—
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8C22×D1111yescharacteristic
473C22×C8C22×D1111yescharacteristic
474C4⋊Q8—111no—
475#127—111no—
476#124—111no—
477#124—111no—
478#121—221no—
479#121—221no—
480C4×Q8—111no—
481C4×Q8—111no—
482C4×D4—111no—
483C4×D4—111no—
484C4×D4—221no—
485C4×D4—221no—
486C4×D4—221no—
487C4×D4—221no—
488#117—111no—
489#117—221no—
490C2×C4⋊C4—221no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—221no—
494C2×C42C22×D1111yescharacteristic
495#108—22no—
496#108—222no—
497C4⋊C8—111no—
498C4⋊C8—111no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—221no—
502C4⋊C8—221no—
503#104—22no—
504#104—22no—
505#104—222no—
506#104—222no—
507#104—222no—
508#104—222no—
509#103—111no—
510#103—111no—
511#103—111no—
512#103—111no—
513#102—111no—
514#102—111no—
515#102—111no—
516#102—111no—
517C22⋊C8—221no—
518C22⋊C8—221no—
519C22⋊C8—221no—
520C22⋊C8—221no—
521#97—22no—
522#97—111no—
523#97—111no—
524#97—111no—
525#97—111no—
526#97—221no—
527#97—221no—
528#97—221no—
529C4×C8—221no—
530C4×C8—221no—
531C4×C8—221no—
532C4×C8—222no—
533#95—221no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11—42no—
537C2×C11—81no—
538C2×C11C4×#12111yescharacteristic
539C2×C11#295611yescharacteristic
540C2×C11#295711yescharacteristic
541D11—81no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—221no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41#433912yes—
553#41C2×C22⋊D1112yes—
554C2×Q8—111no—
555C2×Q8C2×C4×D1111yescharacteristic
556C2×Q8C2×C4×D1111yescharacteristic
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—111no—
560C2×D4—221no—
561C2×D4—221no—
562C2×D4—221no—
563C2×D4C2×C4×D1111yescharacteristic
564C2×D4C2×C4×D1111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—111no—
569C22×C4—111no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4C23×D1111yescharacteristic
575Q16—22no—
576Q16—222no—
577SD16—22no—
578SD16—22no—
579SD16—222no—
580SD16—222no—
581D8—22no—
582D8—222no—
583M16—21no—
584M16—24no—
585M16—21no—
586M16—21no—
587M16—42no—
588M16—112no—
589M16—224no—
590M16—221no—
591M16—221no—
592M16—221no—
593M16—442no—
594M16C2×C22⋊D1112yes—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—24no—
599C2×C8—21no—
600C2×C8—42no—
601C2×C8—111no—
602C2×C8—111no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—224no—
606C2×C8—221no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—442no—
613C2×C8C2×C4×D1111yescharacteristic
614C2×C8C2×C4×D1111yescharacteristic
615C2×C8D4×D1111yescharacteristic
616C2×C8D4×D1111yescharacteristic
617C2×C8#434112yes—
618C2×C8C2×C22⋊D1112yes—
619C4⋊C4—111no—
620C4⋊C4—111no—
621C4⋊C4—221no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—442no—
626C22⋊C4—221no—
627C22⋊C4—221no—
628C22⋊C4—221no—
629C22⋊C4—221no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—21no—
634C42—21no—
635C42—111no—
636C42—111no—
637C42—111no—
638C42—111no—
639C42—221no—
640C42—221no—
641C42—221no—
642C42—221no—
643C42—221no—
644C11#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—21no—
647C23—221no—
648C23#41×D1111yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—21no—
652Q8—221no—
653Q8—221no—
654Q8C4×C22⋊D1112yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—41no—
661D4—41no—
662D4—221no—
663D4—221no—
664D4—441no—
665D4—441no—
666D4—881no—
667D4—881no—
668D4C4×C22⋊D1112yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—111no—
679C2×C4—111no—
680C2×C4—111no—
681C2×C4—111no—
682C2×C4—222no—
683C2×C4—221no—
684C2×C4—221no—
685C2×C4—221no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—441no—
692C2×C4—881no—
693C2×C4—881no—
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C2×#433911yescharacteristic
696C2×C4C2×D4×D1111yescharacteristic
697C2×C4C2×#434111yescharacteristic
698C2×C4#41×D1111yescharacteristic
699C2×C4C22×C22⋊D1111yescharacteristic
700C8—21no—
701C8—21no—
702C8—22no—
703C8—41no—
704C8—221no—
705C8—221no—
706C8—221no—
707C8—221no—
708C8—222no—
709C8—441no—
710C8#6699212yes—
711C8#6699212yes—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22#1062306911yescharacteristic
724C22C4×D4×D1111yescharacteristic
725C22#1062336311yescharacteristic
726C4—22no—
727C4—41no—
728C4—81no—
729C4—221no—
730C4—221no—
731C4—221no—
732C4—221no—
733C4—442no—
734C4—441no—
735C4—441no—
736C4—441no—
737C4C4×#434111yescharacteristic
738C4#1062307811yescharacteristic
739C4C2×C4×C22⋊D1111yescharacteristic
740C4C2×#6699211yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—81no—
745C2—881no—
746C2C4×#6699211yescharacteristic
747C2#1307752411yescharacteristic
748C2#1307753011yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#444C2
socleC22×C11C2×C4×D4
prime radical#13078067C2
cosocleC22×C4×C11C24
hypercenterC2×#444D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#444

Complements

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

NH ≅ G/Ntype
2. C2×#10622757C2semidirect
3. #13077332C2semidirect
4. #13077042C2semidirect
5. #13069533C2semidirect
6. #13069388C2semidirect
7. #13069267C2semidirect
8. #13069263C2semidirect
9. #13068945C2semidirect
10. #13068941C2semidirect
11. #13068634C2semidirect
12. #13068492C2semidirect
13. #13068460C2semidirect
14. #13068451C2semidirect
15. C2×C11×#444C2semidirect
33. #10622798C4semidirect
34. #10622795C4semidirect
35. #10622779C4semidirect
36. #10622778C4semidirect
37. #10622776C4semidirect
38. #10622775C4semidirect
39. #10622766C4semidirect
40. #10622763C4semidirect
81. C11×#131D4semidirect
272. C2×#444D11semidirect
457. #131C22⋊D11semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780672
C2×#106227572
#130773322
#130770422
#130695332
#130693882
#130692672
#130692632
#130689452
#130689412
#130686342
#130684922
#130684602
#130684512
C2×C11×#4442
#2151911