Finite Group Databasebeta

← #14801924

Subgroups — #14801924

Order 2816.

1024 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622349C211yesmaximal, characteristic, complemented
2C2×#10622728C211yesmaximal, characteristic
3#13073087C211yesmaximal, characteristic, complemented
4#13071630C211yesmaximal, characteristic, complemented
5#13070089C211yesmaximal, characteristic, complemented
6#13070021C211yesmaximal, characteristic, complemented
7#13070003C211yesmaximal, characteristic, complemented
8#13069927C211yesmaximal, characteristic, complemented
9#13069375C211yesmaximal, characteristic, complemented
10#13069237C211yesmaximal, characteristic, complemented
11#13068963C211yesmaximal, characteristic, complemented
12#13068931C211yesmaximal, characteristic, complemented
13#13068617C211yesmaximal, characteristic, complemented
14C2×#10622189C211yesmaximal, characteristic, complemented
15C11×#1850C211yesmaximal, characteristic, complemented
16C23×C8×C11C2211yescharacteristic
17C2×#66983C2211yescharacteristic
18C2×#66983C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×D88C2211yescharacteristic
22C2×#66939—21no—
23C2×#66939—21no—
24C2×(C22⋊D11)⋊C4—21no—
25C2×C4×D44C2211yescharacteristic
26C2×C11×C4⋊C8C2211yescharacteristic
27C2×C11×C4⋊C8C2211yescharacteristic
28C2×C11×C22⋊C8C2211yescharacteristic
29C4×C11×C22⋊C4C2211yescharacteristic
30#10622728—24no—
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66885C2211yescharacteristic
37C2×#66882C2211yescharacteristic
38C2×#66882C2211yescharacteristic
39C2×#66882C2211yescharacteristic
40#10622571—21no—
41#10622552C2211yescharacteristic
42#10622552C2211yescharacteristic
43#10622552C2211yescharacteristic
44#10622548C2211yescharacteristic
45#10622548C2211yescharacteristic
46C4×C4⋊Dic11C2211yescharacteristic
47#10622541C2211yescharacteristic
48#10622349—24no—
49#10622290—21no—
50#10622290—21no—
51#10622283—21no—
52#10622281—21no—
53C11×#336C2211yescharacteristic
54C11×#336C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C23×Dic11—21no—
66C22×D44C2311yescharacteristic
67C22×D44C2311yescharacteristic
68C22×C4×D11—21no—
69C22×C8×C11—22no—
70C22×C8×C11—22no—
71C22×C8×C11—41no—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C2×C11×C22⋊C4D411yescharacteristic
77C2×C11×C22⋊C4D411yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C42×C11C2311yescharacteristic
80#66983—22no—
81#66983—22no—
82#66983—22no—
83#66983D414yes—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—22no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11—21no—
102C2×C4⋊Dic11—41no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×Dic11⋊C4—21no—
110C2×C4×Dic11—21no—
111C2×D88—22no—
112C2×D88—22no—
113C2×D88—41no—
114#66939—44no—
115#66939—44no—
116(C22⋊D11)⋊C4—44no—
117C4×D44—22no—
118C4×D44—41no—
119C11×C4⋊C8—22no—
120C11×C4⋊C8—41no—
121C11×C22⋊C8—22no—
122C11×#95D411yescharacteristic
123C11×#95D411yescharacteristic
124C11⋊#95—21no—
125C11⋊#95—21no—
126#66885—22no—
127#66885—22no—
128#66885—22no—
129#66885—22no—
130#66885—22no—
131#66885—41no—
132#66882—22no—
133#66882—22no—
134#66882—22no—
135#25200—111nomaximal, Sylow
136C24×C11C2×D411yescharacteristic
137C23×D11—21no—
138C23×D11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11C2×D411yescharacteristic
144C22×C4×C11C2×D411yescharacteristic
145C22×C4×C11C2×D411yescharacteristic
146C22×C4×C11C2×D412yes—
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11#4112yes—
150C22×C4×C11C2411yescharacteristic
151C2×C22⋊D11—24no—
152C2×C22⋊D11—42no—
153C2×C22⋊D11—42no—
154C2×C22⋊D11—42no—
155C2×C22⋊D11—42no—
156C2×C22⋊D11—42no—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—42no—
164C22×Dic11—42no—
165C22×Dic11—42no—
166C22×Dic11—42no—
167C22×Dic11—42no—
168C22×Dic11—81no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C2×D412yes—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—81no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—44no—
196C2×C8×C11#4112yes—
197C11×C22⋊C4—22no—
198C11×C22⋊C4D814yescomplemented
199C42×C11—21no—
200C42×C11—21no—
201C42×C11—21no—
202C42×C11—21no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—42no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—81no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—42no—
223C4⋊Dic11—42no—
224C4⋊Dic11—42no—
225C4⋊Dic11—42no—
226C4⋊Dic11—42no—
227C4⋊Dic11—42no—
228C4⋊Dic11C2×D412yes—
229C4⋊Dic11#4112yes—
230Dic11⋊C4—42no—
231C4×Dic11—42no—
232D88—44no—
233C2×#480—111no—
234C2×#466—111no—
235#2501—111no—
236#2361—111no—
237#2083—111no—
238#2071—111no—
239#2067—111no—
240#2054—111no—
241#1947—111no—
242#1925—111no—
243#1879—111no—
244#1874—111no—
245#1850D1111yescharacteristic, complemented
246#1802—111no—
247C2×#340—111no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11#12112yes—
253C23×C11C2×D812yes—
254C23×C11AGL(1,ℤ/8)12yes—
255C23×C11C22×D411yescharacteristic
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11#12112yes—
287C2×C4×C11C2×D812yes—
288C2×C4×C11C2×D812yes—
289C2×C4×C11C22×D411yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11H(5,𝔽2)11yescharacteristic
294C2×C4×C112−1+411yescharacteristic
295C22⋊D11—48no—
296C22⋊D11—84no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—84no—
316C2×Dic11—84no—
317D44—22no—
318D44—22no—
319D44—41no—
320D44—41no—
321D44—41no—
322D44—41no—
323D44—41no—
324D44—41no—
325C4×D11—84no—
326C8×C11—22no—
327C8×C11—41no—
328C8×C11—41no—
329C8×C11—41no—
330C22×D8—111no—
331C23×C8C2×D1111yescharacteristic
332C2×#123—221no—
333C2×#123—221no—
334C2×#121—111no—
335C2×#121—111no—
336C2×C4×D4—111no—
337C2×C4×D4—221no—
338C22×C4⋊C4—111no—
339C22×C4⋊C4—111no—
340#480—224no—
341#466—224no—
342C2×#107—111no—
343C2×#107—111no—
344C2×#107—111no—
345C2×C4⋊C8C2×D1111yescharacteristic
346C2×C4⋊C8C2×D1111yescharacteristic
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×C22⋊C8C2×D1111yescharacteristic
354#399—221no—
355#399—221no—
356#390—111no—
357#390—111no—
358#390—111no—
359#389—111no—
360#388—221no—
361#386—221no—
362#385—221no—
363#384—111no—
364#384—111no—
365C4×C4⋊C4—111no—
366C4×C22⋊C4C2×D1111yescharacteristic
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#336C2×D1111yescharacteristic
374#336C2×D1111yescharacteristic
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11#45914yes—
382C22×C11C2×#12111yescharacteristic
383C22×C11#54611yescharacteristic
384C22×C11#54711yescharacteristic
385C22×C11C22×D811yescharacteristic
386C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C11#57711yescharacteristic
388C22×C11#57811yescharacteristic
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11#52911yescharacteristic
409C4×C11#53911yescharacteristic
410C4×C11#54611yescharacteristic
411C4×C11#54711yescharacteristic
412Dic11—42no—
413Dic11—42no—
414Dic11—81no—
415Dic11—81no—
416Dic11—81no—
417Dic11—81no—
418C22×D4—111no—
419C22×D4—111no—
420C22×D4—221no—
421C22×D4—221no—
422C23×C4—221no—
423C23×C4—221no—
424C23×C4—221no—
425C23×C4C22×D1111yescharacteristic
426C2×D8—222no—
427C2×D8—222no—
428C2×D8—441no—
429C22×C8—22no—
430C22×C8—22no—
431C22×C8—41no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434C22×C8C22×D1111yescharacteristic
435C22×C8C22×D1111yescharacteristic
436#123—444no—
437#123—444no—
438#121—114no—
439#121—222no—
440#121—222no—
441#121—222no—
442C4×D4—222no—
443C4×D4—441no—
444C4×D4—444no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—222no—
452C2×C4⋊C4—222no—
453C2×C4⋊C4—222no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—441no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4D4411yescharacteristic
472C2×C22⋊C4D4411yescharacteristic
473C2×C42—221no—
474C2×C42C22×D1111yescharacteristic
475C2×C42C22×D1111yescharacteristic
476#107—222no—
477#107—222no—
478#107—222no—
479C4⋊C8—22no—
480C4⋊C8—41no—
481#102—222no—
482#102—222no—
483#102—222no—
484#102—222no—
485#102—222no—
486#102—441no—
487C22⋊C8—22no—
488#95—221no—
489#95—221no—
490#95D4411yescharacteristic
491#95D4411yescharacteristic
492C2×C11—24no—
493C2×C11#242511yescharacteristic
494C2×C11C2×#45911yescharacteristic
495C2×C11#304611yescharacteristic
496C2×C11#329411yescharacteristic
497C2×C11#330811yescharacteristic
498C2×C11#333411yescharacteristic
499C2×C11#334511yescharacteristic
500D11—82no—
501D11—161no—
502C24—221no—
503C24—221no—
504C24C2×D4411yescharacteristic
505C2×D4—112no—
506C2×D4—224no—
507C2×D4—221no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—442no—
519C2×D4—442no—
520C2×D4—442no—
521C2×D4—442no—
522C2×D4—442no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—442no—
534C22×C4—442no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—442no—
539C22×C4—442no—
540C22×C4—881no—
541C22×C4—881no—
542C22×C4C2×D4411yescharacteristic
543C22×C4C2×D4411yescharacteristic
544C22×C4C2×D4411yescharacteristic
545C22×C4C2×D4411yescharacteristic
546C22×C4C2×D4411yescharacteristic
547C22×C4D4×D1112yes—
548C22×C4#434312yes—
549C22×C4C23×D1111yescharacteristic
550D8—444no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—44no—
563C2×C8#434112yes—
564C4⋊C4—112no—
565C4⋊C4—112no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—442no—
577C4⋊C4—442no—
578C4⋊C4—442no—
579C4⋊C4—442no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C22⋊C4—22no—
584C22⋊C4—224no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—881no—
593C22⋊C4D8814yescomplemented
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—442no—
599C11#2520011yescharacteristic, complemented, Sylow
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—222no—
605C23—441no—
606C23—441no—
607C23—441no—
608C23—441no—
609C23—441no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23#6694812yes—
619C23C2×D8812yes—
620C23#6696112yes—
621C23C22×D4411yescharacteristic
622D4—222no—
623D4—222no—
624D4—448no—
625D4—441no—
626D4—441no—
627D4—441no—
628D4—441no—
629D4—441no—
630D4—441no—
631D4—884no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—884no—
667C2×C4—884no—
668C2×C4—884no—
669C2×C4#6694812yes—
670C2×C4C2×D8812yes—
671C2×C4C2×D8812yes—
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4C2×#434111yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4C2×#434311yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#6704311yescharacteristic
678C8—22no—
679C8—41no—
680C8—41no—
681C8—41no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—442no—
689C22—442no—
690C22—442no—
691C22—881no—
692C22—881no—
693C22—881no—
694C22—881no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22#1062245614yes—
703C22C2×#6694811yescharacteristic
704C22#1062308511yescharacteristic
705C22#1062308611yescharacteristic
706C22C22×D8811yescharacteristic
707C22C2×#6696111yescharacteristic
708C22#1062328211yescharacteristic
709C22#1062328411yescharacteristic
710C4—22no—
711C4—22no—
712C4—22no—
713C4—41no—
714C4—41no—
715C4—442no—
716C4—442no—
717C4—881no—
718C4—881no—
719C4—881no—
720C4—881no—
721C4#1062312211yescharacteristic
722C4#1062315511yescharacteristic
723C4#1062317611yescharacteristic
724C4#1062318611yescharacteristic
725C2—24no—
726C2—882no—
727C2—1761no—
728C2#1307216511yescharacteristic
729C2C2×#1062245611yescharacteristic
730C2#1307816811yescharacteristic
731C2#1308043011yescharacteristic
732C2#1308060911yescharacteristic
733C2#1308096411yescharacteristic
734C2#1308108811yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1850C2
socleC23×C11C22×D4
prime radicalC2×#10622728C2
hypercenter#1850D11
hypocenterC11#25200
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1850

Complements

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

NH ≅ G/Ntype
1. C2×#10622349C2semidirect
3. #13073087C2semidirect
4. #13071630C2semidirect
5. #13070089C2semidirect
6. #13070021C2semidirect
7. #13070003C2semidirect
8. #13069927C2semidirect
9. #13069375C2semidirect
10. #13069237C2semidirect
11. #13068963C2semidirect
12. #13068931C2semidirect
13. #13068617C2semidirect
14. C2×#10622189C2semidirect
15. C11×#1850C2semidirect
198. C11×C22⋊C4D8semidirect
245. #1850D11semidirect
593. C22⋊C4D88semidirect
599. C11#25200semidirect

Maximal subgroups

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

subgroupindex
C2×#106223492
C2×#106227282
#130730872
#130716302
#130700892
#130700212
#130700032
#130699272
#130693752
#130692372
#130689632
#130689312
#130686172
C2×#106221892
C11×#18502
#2520011