Finite Group Databasebeta

← C2×#22624042 #33994270

Subgroups — C2×#22624042 #33994270

Order 18688.

7226 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624042C2132yesmaximal, direct product factor
2C2×#17989322C213yesmaximal, complemented
3C2×#17989313C211yesmaximal, characteristic, complemented
4C2×#17989300C213yesmaximal, complemented
5C2×#17989281C213yesmaximal, complemented
6C2×#17989278C213yesmaximal, complemented
7C2×#17989259C211yesmaximal, characteristic, complemented
8C2×#17989248C211yesmaximal, characteristic, complemented
9C2×#17989248C211yesmaximal, characteristic, complemented
10C2×#17989209C213yesmaximal, complemented
11C2×#17989192C213yesmaximal, complemented
12C2×#17989124C213yesmaximal, complemented
13C2×#17989115C213yesmaximal, complemented
14C2×#17989069C211yesmaximal, characteristic, complemented
15C2×C4×#11924029C211yesmaximal, characteristic, complemented
16C2×#519×C73C211yesmaximal, characteristic, complemented
17C22×#11924029C2211yescharacteristic
18C22×#11924029C2211yescharacteristic
19#17989322C22148yescomplemented
20#17989313C22116yescomplemented
21#17989300C22148yescomplemented
22#17989281C22148yescomplemented
23#17989278C22148yescomplemented
24#17989259C22116yescomplemented
25#17989248C22116yescomplemented
26#17989248C22116yescomplemented
27#17989209C22148yescomplemented
28#17989192C22148yescomplemented
29C2×#14556590C2213yes—
30C2×#14556588C2213yes—
31#17989124C22148yescomplemented
32#17989115C22148yescomplemented
33C2×#14556586C2213yes—
34C2×#14556585C2216yes—
35C2×#14556584C2211yescharacteristic
36C2×#14556583C2213yes—
37C2×#14556582C2213yes—
38C2×#14556581C2213yes—
39C2×#14556580C2213yes—
40C2×#14556580C2213yes—
41C2×#14556579C2216yes—
42C2×#14556577C2213yes—
43C2×#14556576C2213yes—
44C2×#14556576C2216yes—
45C2×#14556576C2216yes—
46C2×#14556573C2213yes—
47C2×#14556569C2213yes—
48C2×#14556567C2213yes—
49C2×#14556567C2213yes—
50C2×#14556566C2213yes—
51C2×#14556566C2213yes—
52C2×#14556565C2213yes—
53C2×#14556565C2213yes—
54C2×#14556564C2213yes—
55C2×#14556564C2216yes—
56#17989069C22116yescomplemented
57C4×#11924029C22116yescomplemented
58C2×Q8×Dic73C2211yescharacteristic
59C2×Q8×Dic73C2211yescharacteristic
60C2×C4×Dic146C2213yes—
61C2×C4×D292C2216yes—
62C2×C4×D292C2213yes—
63C2×C4×D292C2213yes—
64C2×C4×D292C2213yes—
65C2×#14556553C2213yes—
66C2×#14556553C2213yes—
67C2×C4×C22⋊D73C2213yes—
68C2×C4×C22⋊D73C2213yes—
69C2×#14556549C2213yes—
70C2×#14556548C2213yes—
71C2×#14556548C2216yes—
72C2×C4⋊C4×D73C2213yes—
73C2×C42×D73C2213yes—
74C23×Q8×C73C2211yescharacteristic
75#519×C73C22116yescomplemented
76C2×C4×Q8×C73C2211yescharacteristic
77C2×C4×Q8×C73C2213yes—
78C2×C4×Q8×C73C2213yes—
79C2×C4×Q8×C73C2211yescharacteristic
80C2×#117×C73C2213yes—
81C2×#117×C73C2213yes—
82C2×#11924029—28no—
83C2×#11924029—28no—
84C2×#11924029C2318yes—
85C2×#11924029C2318yes—
86C22×Dic146C2313yes—
87C22×D292C2313yes—
88C22×D292C2313yes—
89C22×D292C2313yes—
90C22×D292C2316yes—
91C22×C22⋊D73C2313yes—
92C22×C22⋊D73C2313yes—
93C22×C4×D73C2313yes—
94C22×C4×D73C2313yes—
95C22×C4×D73C2313yes—
96C22×C4×D73C2313yes—
97C22×C4×D73C2316yes—
98#14556590C23124yes—
99#14556588C23124yes—
100#14556586C23124yes—
101#14556585C23148yes—
102#14556584C2318yes—
103#14556583C23124yes—
104#14556582C23124yes—
105#14556581C23124yes—
106#14556580C23124yes—
107#14556580C23124yes—
108#14556579C23148yes—
109#14556577C23124yes—
110#14556576C23148yes—
111#14556576C23148yes—
112#14556576C23124yes—
113#14556573C23124yes—
114#14556569C23124yes—
115#14556567C23124yes—
116#14556567C23124yes—
117#14556566C23124yes—
118#14556566C23124yes—
119#14556565C23124yes—
120#14556565C23124yes—
121#14556564C23124yes—
122#14556564C23148yes—
123Q8×Dic73C2318yes—
124Q8×Dic73C2318yes—
125C4×Dic146C23124yes—
126C4×D292C23124yes—
127C4×D292C23148yes—
128C4×D292C23124yes—
129C4×D292C23124yes—
130#14556553C23124yes—
131#14556553C23124yes—
132C4×C22⋊D73C23124yes—
133C4×C22⋊D73C23124yes—
134#14556549C23124yes—
135#14556548C23148yes—
136#14556548C23124yes—
137C2×C4⋊Dic73C2313yes—
138C2×C4⋊Dic73C2313yes—
139C2×C4⋊Dic73C2311yescharacteristic
140C2×C4⋊Dic73C2313yes—
141C2×#11924007C2316yes—
142C2×#11924007C2313yes—
143C2×#11924007C2311yescharacteristic
144C2×#11924007C2313yes—
145C2×#11924007C2313yes—
146C2×#11924007C2311yescharacteristic
147C2×#11924007C2313yes—
148C4⋊C4×D73C23124yes—
149C2×C22⋊Dic73C2311yescharacteristic
150C2×C22⋊Dic73C2311yescharacteristic
151C2×#11924005C2313yes—
152C2×#11924005C2313yes—
153C2×#11924005C2313yes—
154C2×#11924005C2316yes—
155C2×#11924005C2316yes—
156C2×#11924005C2313yes—
157C2×#11924005C2313yes—
158C2×#11924005C2316yes—
159C2×#11924005C2313yes—
160C2×C4×Dic73C2313yes—
161C2×C4×Dic73C2311yescharacteristic
162C2×C4×Dic73C2313yes—
163C2×C4×Dic73C2313yes—
164C42×D73C23124yes—
165C22×Q8×C73—28no—
166C22×Q8×C73C2318yes—
167C22×Q8×C73C2313yes—
168C22×Q8×C73C2311yescharacteristic
169C23×C4×C73C2313yes—
170C4×Q8×C73C23124yes—
171C4×Q8×C73C2318yes—
172C4×Q8×C73C23124yes—
173C4×Q8×C73C2318yes—
174#117×C73C23124yes—
175#117×C73C23124yes—
176C2×C4⋊C4×C73C2313yes—
177C2×C4⋊C4×C73C2313yes—
178C2×C4⋊C4×C73C2313yes—
179C2×C4⋊C4×C73C2313yes—
180C2×C22⋊C4×C73C2311yescharacteristic
181C2×C22⋊C4×C73C2313yes—
182C2×C42×C73C2313yes—
183C2×C42×C73C2313yes—
184C2×C42×C73C2316yes—
185C23×D73C2413yes—
186C23×D73C2413yes—
187#11924029—232no—
188#11924029—232no—
189C2×Dic146—46no—
190C2×Dic146C24112yes—
191C2×D292—212no—
192C2×D292—212no—
193C2×D292—46no—
194C2×D292—412no—
195C2×D292C24112yes—
196C2×D292C24112yes—
197C2×D292C24124yes—
198C2×D292C24112yes—
199C2×C22⋊D73—46no—
200C2×C22⋊D73—46no—
201C2×C22⋊D73C24112yes—
202C2×C22⋊D73C24112yes—
203C22×Dic73C2411yescharacteristic
204C22×Dic73C2411yescharacteristic
205C22×Dic73C2411yescharacteristic
206C22×Dic73C2413yes—
207C22×Dic73C2413yes—
208C22×Dic73C2411yescharacteristic
209C2×C4×D73—212no—
210C2×C4×D73—212no—
211C2×C4×D73—46no—
212C2×C4×D73—412no—
213C2×C4×D73—46no—
214C2×C4×D73C24112yes—
215C2×C4×D73C24112yes—
216C2×C4×D73C24112yes—
217C2×C4×D73C24112yes—
218C2×C4×D73C24124yes—
219C4⋊Dic73C24112yes—
220C4⋊Dic73C24112yes—
221C4⋊Dic73C2414yes—
222C4⋊Dic73C24112yes—
223#11924007C24112yes—
224#11924007C2414yes—
225#11924007C24112yes—
226#11924007C24124yes—
227#11924007C24112yes—
228#11924007C2414yes—
229#11924007C24112yes—
230C22⋊Dic73C2414yes—
231C22⋊Dic73C2414yes—
232#11924005C24112yes—
233#11924005C24112yes—
234#11924005C24112yes—
235#11924005C24124yes—
236#11924005C24124yes—
237#11924005C24112yes—
238#11924005C24112yes—
239#11924005C24124yes—
240#11924005C24112yes—
241C4×Dic73C2414yes—
242C4×Dic73C24112yes—
243C4×Dic73C24112yes—
244C4×Dic73C24112yes—
245C24×C73C2411yescharacteristic
246C2×Q8×C73—232no—
247C2×Q8×C73—212no—
248C2×Q8×C73#4118yes—
249C2×Q8×C73C24112yes—
250C2×Q8×C73C2414yes—
251C22×C4×C73—212no—
252C22×C4×C73C2411yescharacteristic
253C22×C4×C73C2413yes—
254C22×C4×C73C2413yes—
255C22×C4×C73C2411yescharacteristic
256C22×C4×C73C2413yes—
257C22×C4×C73C24112yes—
258C22×C4×C73C2413yes—
259C4⋊C4×C73C24112yes—
260C4⋊C4×C73C24112yes—
261C4⋊C4×C73C24112yes—
262C4⋊C4×C73C24112yes—
263C22⋊C4×C73C2414yes—
264C22⋊C4×C73C24112yes—
265C42×C73C24112yes—
266C42×C73C24124yes—
267C42×C73C24112yes—
268C23×C73—22no—
269C23×C73—22no—
270C23×C73—22no—
271C23×C73C2512yes—
272C23×C73C2511yescharacteristic
273C22×D73—26no—
274C22×D73—26no—
275C22×D73—26no—
276C22×D73—26no—
277C22×D73—26no—
278C22×D73—26no—
279C22×D73C2516yes—
280C22×D73C2516yes—
281Q8×C73—224no—
282Q8×C73C2×#41116yes—
283C2×C4×C73—26no—
284C2×C4×C73—26no—
285C2×C4×C73—22no—
286C2×C4×C73—22no—
287C2×C4×C73—26no—
288C2×C4×C73—224no—
289C2×C4×C73C2×#41112yes—
290C2×C4×C73C2512yes—
291C2×C4×C73C2516yes—
292C2×C4×C73C2516yes—
293C2×C4×C73C2512yes—
294C2×C4×C73C2516yes—
295C2×C4×C73C2516yes—
296C22⋊D73—412no—
297C22⋊D73—412no—
298C2×Dic73—22no—
299C2×Dic73—22no—
300C2×Dic73—22no—
301C2×Dic73—26no—
302C2×Dic73—26no—
303C2×Dic73—22no—
304C2×Dic73C2512yes—
305C2×Dic73C2512yes—
306C2×Dic73C2512yes—
307C2×Dic73C2516yes—
308C2×Dic73C2516yes—
309C2×Dic73C2512yes—
310D292—224no—
311D292—224no—
312D292—424no—
313D292—412no—
314C4×D73—224no—
315C4×D73—224no—
316C4×D73—412no—
317C4×D73—412no—
318C4×D73—424no—
319Dic146—412no—
320C22×C73—22no—
321C22×C73—22no—
322C22×C73—22no—
323C22×C73—44no—
324C22×C73C22×#4112yes—
325C22×C73#58512yes—
326C22×C73#58512yes—
327C22×C73C2611yescharacteristic
328C2×D73—26no—
329C2×D73—26no—
330C2×D73—26no—
331C2×D73—26no—
332C2×D73—26no—
333C2×D73—26no—
334C2×D73—412no—
335C2×D73—412no—
336C4×C73—26no—
337C4×C73—26no—
338C4×C73—22no—
339C4×C73—26no—
340C4×C73—22no—
341C4×C73C22×#41112yes—
342Dic73—22no—
343Dic73—22no—
344Dic73—22no—
345Dic73—26no—
346Dic73—22no—
347Dic73—26no—
348C2×#3524—731nomaximal, Sylow
349C2×C73—42no—
350C2×C73#352414yescomplemented
351C2×C73C23×#4111yescharacteristic
352C2×C73C2×#58511yescharacteristic
353C2×C73C2×#58511yescharacteristic
354D73—46no—
355D73—46no—
356#3524—7332no—
357C2×#559—733no—
358C2×#557—731no—
359C2×#555—733no—
360C2×#553—733no—
361C2×#552—733no—
362C2×#550—731no—
363C2×#548—731no—
364C2×#548—731no—
365C2×#542—733no—
366C2×#540—733no—
367C2×#529—733no—
368C2×#529—733no—
369C2×#520—731no—
370C2×#519D7311yescharacteristic, complemented
371C2×C4×#41—731no—
372C73C2×#352411yescharacteristic, complemented, Sylow
373C22×#41—731no—
374C22×#41—731no—
375C23×Q8C2×D7311yescharacteristic
376#559—7348no—
377#557—7316no—
378#555—7348no—
379#553—7348no—
380#552—7348no—
381#550—7316no—
382#548—7316no—
383#548—7316no—
384#542—7348no—
385#540—7348no—
386C2×C4⋊Q8—733no—
387C2×#127—733no—
388#529—7348no—
389#529—7348no—
390C2×#126—733no—
391C2×#126—731no—
392C2×#126—736no—
393C2×#125—733no—
394C2×#125—733no—
395C2×#125—733no—
396C2×#124—733no—
397C2×#124—733no—
398C2×#124—733no—
399C2×#124—736no—
400C2×#123—736no—
401C2×#123—733no—
402C2×#123—736no—
403C2×#123—733no—
404C2×C22⋊Q8—733no—
405C2×C22⋊Q8—733no—
406C2×C22⋊Q8—733no—
407C2×#121—733no—
408C2×#121—733no—
409C2×#121—733no—
410C2×#121—733no—
411C2×#121—733no—
412C2×#121—736no—
413#520—7316no—
414#519C2×D73116yescomplemented
415C4×#41—7316no—
416C2×C4×Q8—731no—
417C2×C4×Q8—731no—
418C2×C4×Q8—733no—
419C2×C4×Q8C2×D7311yescharacteristic
420C2×C4×Q8C2×D7313yes—
421C2×C4×Q8C2×D7311yescharacteristic
422C2×C4×Q8C2×D7313yes—
423C2×C4×D4—733no—
424C2×C4×D4—733no—
425C2×C4×D4—733no—
426C2×C4×D4—733no—
427C2×C4×D4—733no—
428C2×C4×D4—733no—
429C2×C4×D4—733no—
430C2×C4×D4—736no—
431C2×#117—733no—
432C2×#117—733no—
433C2×#117—736no—
434C2×#117C2×D7313yes—
435C2×#117C2×D7313yes—
436C22×C4⋊C4—733no—
437C22×C42—733no—
438C2×#41—738no—
439C2×#41—738no—
440C2×#41—1468no—
441C2×#41—1468no—
442C22×Q8—28no—
443C22×Q8—733no—
444C22×Q8C22×D7313yes—
445C22×Q8C22×D7318yes—
446C22×Q8C22×D7311yescharacteristic
447C22×D4—733no—
448C22×D4—733no—
449C22×D4—736no—
450C22×D4—733no—
451C22×D4—733no—
452C22×D4—733no—
453C23×C4—736no—
454C23×C4—733no—
455C23×C4—733no—
456C23×C4—733no—
457C23×C4—733no—
458C23×C4C22×D7313yes—
459C4⋊Q8—7324no—
460#127—7324no—
461#126—7324no—
462#126—738no—
463#126—7348no—
464#125—7324no—
465#125—7324no—
466#125—7324no—
467#124—7324no—
468#124—7324no—
469#124—7324no—
470#124—7348no—
471#123—7348no—
472#123—7324no—
473#123—7348no—
474#123—7324no—
475C22⋊Q8—7324no—
476C22⋊Q8—7324no—
477C22⋊Q8—7324no—
478#121—7324no—
479#121—7324no—
480#121—7324no—
481#121—7324no—
482#121—7324no—
483#121—7348no—
484C4×Q8—738no—
485C4×Q8—738no—
486C4×Q8—7324no—
487C4×Q8C22×D7318yes—
488C4×Q8C22×D73124yes—
489C4×Q8C22×D7318yes—
490C4×Q8C22×D73124yes—
491C4×D4—7324no—
492C4×D4—7324no—
493C4×D4—7324no—
494C4×D4—7324no—
495C4×D4—7324no—
496C4×D4—7324no—
497C4×D4—7324no—
498C4×D4—7348no—
499#117—7324no—
500#117—7324no—
501#117—7348no—
502#117C22×D73124yes—
503#117C22×D73124yes—
504C2×C4⋊C4—733no—
505C2×C4⋊C4—733no—
506C2×C4⋊C4—731no—
507C2×C4⋊C4—733no—
508C2×C4⋊C4—733no—
509C2×C4⋊C4—736no—
510C2×C4⋊C4—731no—
511C2×C4⋊C4—733no—
512C2×C4⋊C4—733no—
513C2×C4⋊C4—731no—
514C2×C4⋊C4—733no—
515C2×C4⋊C4—7324no—
516C2×C4⋊C4C22×D7313yes—
517C2×C4⋊C4C22×D7313yes—
518C2×C4⋊C4C22×D7313yes—
519C2×C4⋊C4C22×D7313yes—
520C2×C22⋊C4—731no—
521C2×C22⋊C4—731no—
522C2×C22⋊C4—733no—
523C2×C22⋊C4—733no—
524C2×C22⋊C4—736no—
525C2×C22⋊C4—733no—
526C2×C22⋊C4—736no—
527C2×C22⋊C4—733no—
528C2×C22⋊C4—733no—
529C2×C22⋊C4—736no—
530C2×C22⋊C4—733no—
531C2×C22⋊C4C22×D7311yescharacteristic
532C2×C22⋊C4C22×D7313yes—
533C2×C42—733no—
534C2×C42—733no—
535C2×C42—733no—
536C2×C42—731no—
537C2×C42—7324no—
538C2×C42C22×D7313yes—
539C2×C42C22×D7316yes—
540C2×C42C22×D7313yes—
541C24—733no—
542C24—733no—
543C24C23×D7311yescharacteristic
544#41—14632no—
545#41—14632no—
546C2×Q8—232no—
547C2×Q8—212no—
548C2×Q8—2926no—
549C2×Q8—7312no—
550C2×Q8#1192402818yes—
551C2×Q8C23×D73112yes—
552C2×Q8C23×D7314yes—
553C2×D4—2926no—
554C2×D4—29212no—
555C2×D4—2926no—
556C2×D4—2926no—
557C2×D4—7312no—
558C2×D4—7312no—
559C2×D4—7324no—
560C2×D4—7312no—
561C2×D4—7312no—
562C2×D4—7312no—
563C2×D4—14612no—
564C2×D4—14612no—
565C22×C4—212no—
566C22×C4—2926no—
567C22×C4—29212no—
568C22×C4—2926no—
569C22×C4—7312no—
570C22×C4—7312no—
571C22×C4—7324no—
572C22×C4—731no—
573C22×C4—731no—
574C22×C4—731no—
575C22×C4—733no—
576C22×C4—733no—
577C22×C4—731no—
578C22×C4—7312no—
579C22×C4—7312no—
580C22×C4—14612no—
581C22×C4—14612no—
582C22×C4C23×D73112yes—
583C22×C4C23×D7313yes—
584C22×C4C23×D7311yescharacteristic
585C22×C4C23×D7313yes—
586C22×C4C23×D7311yescharacteristic
587C22×C4C23×D7313yes—
588C22×C4C23×D7313yes—
589C4⋊C4—7312no—
590C4⋊C4—734no—
591C4⋊C4—7312no—
592C4⋊C4—7324no—
593C4⋊C4—7312no—
594C4⋊C4—734no—
595C4⋊C4—7312no—
596C4⋊C4—7312no—
597C4⋊C4—7312no—
598C4⋊C4—734no—
599C4⋊C4—7312no—
600C4⋊C4C23×D73112yes—
601C4⋊C4C23×D73112yes—
602C4⋊C4C23×D73112yes—
603C4⋊C4C23×D73112yes—
604C22⋊C4—734no—
605C22⋊C4—734no—
606C22⋊C4—7312no—
607C22⋊C4—7312no—
608C22⋊C4—7324no—
609C22⋊C4—7312no—
610C22⋊C4—7324no—
611C22⋊C4—7312no—
612C22⋊C4—7312no—
613C22⋊C4—7324no—
614C22⋊C4—7312no—
615C22⋊C4C23×D7314yes—
616C22⋊C4C23×D73112yes—
617C42—734no—
618C42—7312no—
619C42—7312no—
620C42—7312no—
621C42C23×D73112yes—
622C42C23×D73124yes—
623C42C23×D73112yes—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—736no—
628C23—736no—
629C23—1466no—
630C23—1466no—
631C23—1466no—
632C23—1466no—
633C23—1466no—
634C23—1466no—
635C23C24×D7312yes—
636C23C24×D7311yescharacteristic
637Q8—224no—
638Q8—29212no—
639Q8C2×#11924028116yes—
640D4—29212no—
641D4—29224no—
642D4—29212no—
643D4—29212no—
644D4—14624no—
645D4—14624no—
646C2×C4—26no—
647C2×C4—26no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—26no—
651C2×C4—224no—
652C2×C4—29212no—
653C2×C4—29224no—
654C2×C4—29212no—
655C2×C4—732no—
656C2×C4—732no—
657C2×C4—732no—
658C2×C4—736no—
659C2×C4—736no—
660C2×C4—732no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1462no—
664C2×C4—1466no—
665C2×C4—1466no—
666C2×C4—1462no—
667C2×C4—14624no—
668C2×C4—14624no—
669C2×C4C2×#11924028112yes—
670C2×C4C24×D7312yes—
671C2×C4C24×D7316yes—
672C2×C4C24×D7316yes—
673C2×C4C24×D7312yes—
674C2×C4C24×D7316yes—
675C2×C4C24×D7316yes—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—44no—
680C22—29212no—
681C22—29212no—
682C22—1466no—
683C22—1466no—
684C22—1466no—
685C22—1466no—
686C22—1466no—
687C22—1466no—
688C22C22×#1192402812yes—
689C22#1798942412yes—
690C22#1798942412yes—
691C22C25×D7311yescharacteristic
692C4—26no—
693C4—26no—
694C4—22no—
695C4—22no—
696C4—26no—
697C4—1462no—
698C4—1462no—
699C4—1462no—
700C4—1466no—
701C4—1466no—
702C4—1462no—
703C4C22×#11924028112yes—
704C2—42no—
705C2—2926no—
706C2—2926no—
707C2#2262404214yesdirect product factor
708C2C23×#1192402811yescharacteristic
709C2C2×#1798942411yescharacteristic
710C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#519×C73C2
socleC23×C73C25
hypercenterC2×#519D73
hypocenterC73C2×#3524
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#519

Complements

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

NH ≅ G/Ntype
1. #22624042C2direct (N × H)
2. C2×#17989322C2semidirect
3. C2×#17989313C2semidirect
4. C2×#17989300C2semidirect
5. C2×#17989281C2semidirect
6. C2×#17989278C2semidirect
7. C2×#17989259C2semidirect
8. C2×#17989248C2semidirect
9. C2×#17989248C2semidirect
10. C2×#17989209C2semidirect
11. C2×#17989192C2semidirect
12. C2×#17989124C2semidirect
13. C2×#17989115C2semidirect
14. C2×#17989069C2semidirect
15. C2×C4×#11924029C2semidirect
16. C2×#519×C73C2semidirect
19. #17989322C22semidirect
20. #17989313C22semidirect
21. #17989300C22semidirect
22. #17989281C22semidirect
23. #17989278C22semidirect
24. #17989259C22semidirect
25. #17989248C22semidirect
26. #17989248C22semidirect
27. #17989209C22semidirect
28. #17989192C22semidirect
31. #17989124C22semidirect
32. #17989115C22semidirect
56. #17989069C22semidirect
57. C4×#11924029C22semidirect
75. #519×C73C22semidirect
350. C2×C73#3524semidirect
370. C2×#519D73semidirect
372. C73C2×#3524semidirect
414. #519C2×D73semidirect
707. C2#22624042direct (N × H)

Maximal subgroups

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

subgroupindex
#226240422
C2×#179893222
C2×#179893132
C2×#179893002
C2×#179892812
C2×#179892782
C2×#179892592
C2×#179892482
C2×#179892092
C2×#179891922
C2×#179891242
C2×#179891152
C2×#179890692
C2×C4×#119240292
C2×#519×C732
C2×#352473