Finite Group Databasebeta

← C2×#22624040 #33994268

Subgroups — C2×#22624040 #33994268

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#22624040C2132yesmaximal, direct product factor
2C2×#17989320C213yesmaximal, complemented
3C2×#17989313C211yesmaximal, characteristic, complemented
4C2×#17989300C213yesmaximal, complemented
5C2×#17989287C213yesmaximal, complemented
6C2×#17989276C213yesmaximal, complemented
7C2×#17989256C211yesmaximal, characteristic, complemented
8C2×#17989249C211yesmaximal, characteristic, complemented
9C2×#17989244C211yesmaximal, characteristic, complemented
10C2×#17989202C213yesmaximal, complemented
11C2×#17989188C213yesmaximal, complemented
12C2×#17989121C213yesmaximal, complemented
13C2×#17989121C213yesmaximal, complemented
14C2×#17989069C211yesmaximal, characteristic, complemented
15C2×#17989063C211yesmaximal, characteristic, complemented
16C2×C4×#41×C73C211yesmaximal, characteristic, complemented
17C22×#11924029C2211yescharacteristic
18C22×Q8×D73C2211yescharacteristic
19#17989320C22148yescomplemented
20#17989313C22116yescomplemented
21#17989300C22148yescomplemented
22#17989287C22148yescomplemented
23#17989276C22148yescomplemented
24#17989256C22116yescomplemented
25#17989249C22116yescomplemented
26#17989244C22116yescomplemented
27#17989202C22148yescomplemented
28#17989188C22148yescomplemented
29C2×#14556590C2213yes—
30C2×#14556587C2213yes—
31#17989121C22148yescomplemented
32#17989121C22148yescomplemented
33C2×#14556585C2211yescharacteristic
34C2×#14556585C2213yes—
35C2×#14556584C2216yes—
36C2×#14556583C2213yes—
37C2×#14556583C2213yes—
38C2×#14556582C2213yes—
39C2×#14556579C2213yes—
40C2×#14556579C2213yes—
41C2×#14556578C2213yes—
42C2×#14556577C2216yes—
43C2×#14556574C2213yes—
44C2×#14556574C2216yes—
45C2×#14556574C2213yes—
46C2×#14556573C2216yes—
47C2×#14556571C2213yes—
48C2×#14556570C2213yes—
49C2×#14556570C2213yes—
50C2×#14556566C2213yes—
51C2×#14556565C2213yes—
52C2×#14556565C2213yes—
53C2×#14556564C2216yes—
54C2×#14556562C2213yes—
55C2×#14556562C2213yes—
56#17989069C22116yescomplemented
57#17989063C22116yescomplemented
58C2×Q8×Dic73C2211yescharacteristic
59C2×Q8×Dic73C2211yescharacteristic
60C2×C4×Dic146C2213yes—
61C2×C4×Dic146C2213yes—
62C2×#14556556C2213yes—
63C2×C4×D292C2213yes—
64C2×C4×D292C2213yes—
65C2×#14556553C2213yes—
66C2×C4×C22⋊D73C2216yes—
67C2×C4×C22⋊D73C2213yes—
68C2×C4×C22⋊D73C2213yes—
69C2×#14556549C2213yes—
70C2×#14556548C2213yes—
71C2×#14556548C2213yes—
72C2×#14556548C2216yes—
73C2×C4⋊C4×D73C2213yes—
74C22×#41×C73C2211yescharacteristic
75C4×#41×C73C22116yescomplemented
76C2×C4×Q8×C73C2211yescharacteristic
77C2×C4×Q8×C73C2211yescharacteristic
78C2×C4×D4×C73C2213yes—
79C2×C4×D4×C73C2213yes—
80C2×#117×C73C2213yes—
81C22×C42×C73C2213yes—
82C2×#11924029—28no—
83C2×#11924029C2318yes—
84C22×Dic146C2313yes—
85C22×Dic146C2313yes—
86C2×Q8×D73—28no—
87C2×Q8×D73C2318yes—
88C22×D292C2313yes—
89C22×D292C2313yes—
90C22×C22⋊D73C2313yes—
91C22×C22⋊D73C2316yes—
92C22×C22⋊D73C2313yes—
93C22×C4×D73C2313yes—
94C22×C4×D73C2313yes—
95C22×C4×D73C2316yes—
96#14556590C23124yes—
97#14556587C23124yes—
98#14556585C2318yes—
99#14556585C23124yes—
100#14556584C23148yes—
101#14556583C23124yes—
102#14556583C23124yes—
103#14556582C23124yes—
104#14556579C23124yes—
105#14556579C23124yes—
106#14556578C23124yes—
107#14556577C23148yes—
108#14556574C23148yes—
109#14556574C23124yes—
110#14556574C23124yes—
111#14556573C23148yes—
112#14556571C23124yes—
113#14556570C23124yes—
114#14556570C23124yes—
115#14556566C23124yes—
116#14556565C23124yes—
117#14556565C23124yes—
118#14556564C23148yes—
119#14556562C23124yes—
120#14556562C23124yes—
121Q8×Dic73C2318yes—
122Q8×Dic73C2318yes—
123C4×Dic146C23124yes—
124C4×Dic146C23124yes—
125#14556556C23124yes—
126C4×D292C23124yes—
127C4×D292C23124yes—
128#14556553C23124yes—
129C4×C22⋊D73C23124yes—
130C4×C22⋊D73C23124yes—
131C4×C22⋊D73C23148yes—
132#14556549C23124yes—
133#14556548C23124yes—
134#14556548C23124yes—
135#14556548C23148yes—
136C2×C4⋊Dic73C2313yes—
137C2×C4⋊Dic73C2313yes—
138C2×C4⋊Dic73C2313yes—
139C2×C4⋊Dic73C2313yes—
140C2×#11924007C2316yes—
141C2×#11924007C2313yes—
142C2×#11924007C2311yescharacteristic
143C2×#11924007C2313yes—
144C2×#11924007C2313yes—
145C2×#11924007C2313yes—
146C2×#11924007C2311yescharacteristic
147C2×#11924007C2313yes—
148C2×#11924007C2311yescharacteristic
149C4⋊C4×D73C23124yes—
150C2×C22⋊Dic73C2313yes—
151C2×C22⋊Dic73C2316yes—
152C2×C22⋊Dic73C2313yes—
153C2×#11924005C2311yescharacteristic
154C2×#11924005C2313yes—
155C2×#11924005C2313yes—
156C2×#11924005C2313yes—
157C2×#11924005C2313yes—
158C2×#11924005C2316yes—
159C2×#11924005C2311yescharacteristic
160C2×#11924005C2313yes—
161C2×#11924005C2311yescharacteristic
162C2×C4×Dic73C2313yes—
163C2×C4×Dic73C2313yes—
164C2×C4×Dic73C2316yes—
165C2×#41×C73—28no—
166C2×#41×C73C2318yes—
167C22×Q8×C73C2311yescharacteristic
168C22×D4×C73C2313yes—
169C23×C4×C73C2313yes—
170C23×C4×C73C2313yes—
171C23×C4×C73C2313yes—
172C4×Q8×C73C2318yes—
173C4×Q8×C73C2318yes—
174C4×D4×C73C23124yes—
175C4×D4×C73C23124yes—
176#117×C73C23124yes—
177C2×C4⋊C4×C73C2313yes—
178C2×C4⋊C4×C73C2313yes—
179C2×C22⋊C4×C73C2316yes—
180C2×C42×C73C23124yes—
181C2×C42×C73C2311yescharacteristic
182C2×C42×C73C2313yes—
183C2×C42×C73C2313yes—
184C2×C42×C73C2313yes—
185C23×D73C2411yescharacteristic
186C23×D73C2413yes—
187#11924029—232no—
188C2×Dic146—212no—
189C2×Dic146—46no—
190C2×Dic146C24112yes—
191C2×Dic146C24112yes—
192Q8×D73—232no—
193C2×D292—212no—
194C2×D292—46no—
195C2×D292C24112yes—
196C2×D292C24112yes—
197C2×C22⋊D73—46no—
198C2×C22⋊D73—46no—
199C2×C22⋊D73—412no—
200C2×C22⋊D73C24112yes—
201C2×C22⋊D73C24124yes—
202C2×C22⋊D73C24112yes—
203C22×Dic73C2411yescharacteristic
204C22×Dic73C2413yes—
205C22×Dic73C2411yescharacteristic
206C22×Dic73C2413yes—
207C22×Dic73C2413yes—
208C22×Dic73C2411yescharacteristic
209C2×C4×D73—212no—
210C2×C4×D73—212no—
211C2×C4×D73—412no—
212C2×C4×D73C24112yes—
213C2×C4×D73C24112yes—
214C2×C4×D73C24124yes—
215C4⋊Dic73C24112yes—
216C4⋊Dic73C24112yes—
217C4⋊Dic73C24112yes—
218C4⋊Dic73C24112yes—
219#11924007C24112yes—
220#11924007C2414yes—
221#11924007C24112yes—
222#11924007C24112yes—
223#11924007C24112yes—
224#11924007C24124yes—
225#11924007C2414yes—
226#11924007C24112yes—
227#11924007C2414yes—
228C22⋊Dic73C24112yes—
229C22⋊Dic73C24124yes—
230C22⋊Dic73C24112yes—
231#11924005C2414yes—
232#11924005C24112yes—
233#11924005C24112yes—
234#11924005C24112yes—
235#11924005C24112yes—
236#11924005C24124yes—
237#11924005C2414yes—
238#11924005C24112yes—
239#11924005C2414yes—
240C4×Dic73C24124yes—
241C4×Dic73C24112yes—
242C4×Dic73C24112yes—
243C24×C73C2413yes—
244#41×C73—232no—
245C2×Q8×C73#4118yes—
246C2×Q8×C73C2414yes—
247C2×D4×C73—212no—
248C2×D4×C73C24112yes—
249C22×C4×C73—212no—
250C22×C4×C73—46no—
251C22×C4×C73—46no—
252C22×C4×C73C2411yescharacteristic
253C22×C4×C73C2411yescharacteristic
254C22×C4×C73C2411yescharacteristic
255C22×C4×C73C2413yes—
256C22×C4×C73C2413yes—
257C22×C4×C73C24112yes—
258C22×C4×C73C24112yes—
259C22×C4×C73C24112yes—
260C22×C4×C73C2413yes—
261C4⋊C4×C73C24112yes—
262C4⋊C4×C73C24112yes—
263C22⋊C4×C73C24124yes—
264C42×C73C2414yes—
265C42×C73C24112yes—
266C42×C73C24112yes—
267C42×C73C24112yes—
268C23×C73—26no—
269C23×C73—26no—
270C23×C73—26no—
271C23×C73C2516yes—
272C23×C73C2511yescharacteristic
273C22×D73—22no—
274C22×D73—26no—
275C22×D73—26no—
276C22×D73—22no—
277C22×D73—26no—
278C22×D73—22no—
279C22×D73C2512yes—
280C22×D73C2516yes—
281Q8×C73C2×#41116yes—
282D4×C73—224no—
283C2×C4×C73—22no—
284C2×C4×C73—22no—
285C2×C4×C73—22no—
286C2×C4×C73—26no—
287C2×C4×C73—26no—
288C2×C4×C73—224no—
289C2×C4×C73—412no—
290C2×C4×C73—412no—
291C2×C4×C73C2×#41112yes—
292C2×C4×C73C2512yes—
293C2×C4×C73C2512yes—
294C2×C4×C73C2512yes—
295C2×C4×C73C2516yes—
296C2×C4×C73C2516yes—
297C2×C4×C73C2516yes—
298C22⋊D73—424no—
299C22⋊D73—412no—
300C22⋊D73—412no—
301C2×Dic73—22no—
302C2×Dic73—26no—
303C2×Dic73—26no—
304C2×Dic73—22no—
305C2×Dic73—26no—
306C2×Dic73—22no—
307C2×Dic73C2512yes—
308C2×Dic73C2516yes—
309C2×Dic73C2512yes—
310C2×Dic73C2516yes—
311C2×Dic73C2516yes—
312C2×Dic73C2512yes—
313D292—224no—
314D292—412no—
315C4×D73—224no—
316C4×D73—224no—
317C4×D73—424no—
318Dic146—224no—
319Dic146—412no—
320C22×C73—26no—
321C22×C73—26no—
322C22×C73—26no—
323C22×C73—412no—
324C22×C73C22×#4112yes—
325C22×C73#58512yes—
326C22×C73#58512yes—
327C22×C73C2611yescharacteristic
328C2×D73—22no—
329C2×D73—26no—
330C2×D73—26no—
331C2×D73—22no—
332C2×D73—26no—
333C2×D73—22no—
334C2×D73—44no—
335C2×D73—412no—
336C4×C73—22no—
337C4×C73—26no—
338C4×C73—26no—
339C4×C73—22no—
340C4×C73—22no—
341C4×C73C22×#41112yes—
342Dic73—26no—
343Dic73—22no—
344Dic73—22no—
345Dic73—26no—
346Dic73—26no—
347Dic73—22no—
348C2×#3524—731nomaximal, Sylow
349C2×C73—46no—
350C2×C73#352414yescomplemented
351C2×C73C23×#4111yescharacteristic
352C2×C73C2×#58511yescharacteristic
353C2×C73C2×#58511yescharacteristic
354D73—42no—
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×#519—731no—
371C2×C4×#41D7311yescharacteristic, complemented
372C73C2×#352411yescharacteristic, complemented, Sylow
373C22×#41—731no—
374C22×#41C2×D7311yescharacteristic
375C23×Q8—731no—
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—736no—
391C2×#126—731no—
392C2×#126—733no—
393C2×#125—733no—
394C2×#125—733no—
395C2×#125—733no—
396C2×#124—733no—
397C2×#124—736no—
398C2×#124—733no—
399C2×#124—733no—
400C2×#123—736no—
401C2×#123—733no—
402C2×#123—733no—
403C2×#123—736no—
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#519—7316no—
415C4×#41C2×D73116yescomplemented
416C2×C4×Q8—731no—
417C2×C4×Q8—731no—
418C2×C4×Q8—733no—
419C2×C4×Q8—733no—
420C2×C4×Q8—733no—
421C2×C4×Q8C2×D7311yescharacteristic
422C2×C4×Q8C2×D7311yescharacteristic
423C2×C4×D4—733no—
424C2×C4×D4—733no—
425C2×C4×D4—736no—
426C2×C4×D4—733no—
427C2×C4×D4—733no—
428C2×C4×D4—733no—
429C2×C4×D4C2×D7313yes—
430C2×C4×D4C2×D7313yes—
431C2×#117—733no—
432C2×#117—733no—
433C2×#117—733no—
434C2×#117—736no—
435C2×#117C2×D7313yes—
436C22×C4⋊C4—733no—
437C22×C42C2×D7313yes—
438C2×#41—28no—
439C2×#41—738no—
440C2×#41—1468no—
441C2×#41C22×D7318yes—
442C22×Q8—738no—
443C22×Q8—733no—
444C22×Q8—733no—
445C22×Q8—1468no—
446C22×Q8C22×D7311yescharacteristic
447C22×D4—733no—
448C22×D4—736no—
449C22×D4—733no—
450C22×D4—733no—
451C22×D4—733no—
452C22×D4C22×D7313yes—
453C23×C4—736no—
454C23×C4—733no—
455C23×C4—733no—
456C23×C4C22×D7313yes—
457C23×C4C22×D7313yes—
458C23×C4C22×D7313yes—
459C4⋊Q8—7324no—
460#127—7324no—
461#126—7348no—
462#126—738no—
463#126—7324no—
464#125—7324no—
465#125—7324no—
466#125—7324no—
467#124—7324no—
468#124—7348no—
469#124—7324no—
470#124—7324no—
471#123—7348no—
472#123—7324no—
473#123—7324no—
474#123—7348no—
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×Q8—7324no—
488C4×Q8—7324no—
489C4×Q8C22×D7318yes—
490C4×Q8C22×D7318yes—
491C4×D4—7324no—
492C4×D4—7324no—
493C4×D4—7348no—
494C4×D4—7324no—
495C4×D4—7324no—
496C4×D4—7324no—
497C4×D4C22×D73124yes—
498C4×D4C22×D73124yes—
499#117—7324no—
500#117—7324no—
501#117—7324no—
502#117—7348no—
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—733no—
510C2×C4⋊C4—733no—
511C2×C4⋊C4—736no—
512C2×C4⋊C4—731no—
513C2×C4⋊C4—733no—
514C2×C4⋊C4—733no—
515C2×C4⋊C4—731no—
516C2×C4⋊C4—733no—
517C2×C4⋊C4—7324no—
518C2×C4⋊C4C22×D7313yes—
519C2×C4⋊C4C22×D7313yes—
520C2×C22⋊C4—733no—
521C2×C22⋊C4—736no—
522C2×C22⋊C4—733no—
523C2×C22⋊C4—731no—
524C2×C22⋊C4—733no—
525C2×C22⋊C4—733no—
526C2×C22⋊C4—733no—
527C2×C22⋊C4—733no—
528C2×C22⋊C4—736no—
529C2×C22⋊C4—731no—
530C2×C22⋊C4—733no—
531C2×C22⋊C4—731no—
532C2×C22⋊C4C22×D7316yes—
533C2×C42—736no—
534C2×C42—733no—
535C2×C42—733no—
536C2×C42C22×D7313yes—
537C2×C42C22×D7313yes—
538C2×C42C22×D7313yes—
539C2×C42C22×D73124yes—
540C2×C42C22×D7311yescharacteristic
541C24—731no—
542C24—733no—
543C24C23×D7313yes—
544#41—232no—
545#41—14632no—
546C2×Q8—2926no—
547C2×Q8—7312no—
548C2×Q8—7312no—
549C2×Q8—14632no—
550C2×Q8—14612no—
551C2×Q8#1192402818yes—
552C2×Q8C23×D7314yes—
553C2×D4—212no—
554C2×D4—2926no—
555C2×D4—2926no—
556C2×D4—2926no—
557C2×D4—29212no—
558C2×D4—7312no—
559C2×D4—7324no—
560C2×D4—7312no—
561C2×D4—7312no—
562C2×D4—7312no—
563C2×D4—14612no—
564C2×D4C23×D73112yes—
565C22×C4—212no—
566C22×C4—46no—
567C22×C4—46no—
568C22×C4—29212no—
569C22×C4—7324no—
570C22×C4—731no—
571C22×C4—733no—
572C22×C4—731no—
573C22×C4—733no—
574C22×C4—733no—
575C22×C4—731no—
576C22×C4—7312no—
577C22×C4—7312no—
578C22×C4—14612no—
579C22×C4—14612no—
580C22×C4C23×D73112yes—
581C22×C4C23×D7313yes—
582C22×C4C23×D7311yescharacteristic
583C22×C4C23×D7311yescharacteristic
584C22×C4C23×D7311yescharacteristic
585C22×C4C23×D7313yes—
586C22×C4C23×D73112yes—
587C22×C4C23×D73112yes—
588C22×C4C23×D7313yes—
589C4⋊C4—7312no—
590C4⋊C4—734no—
591C4⋊C4—7312no—
592C4⋊C4—7312no—
593C4⋊C4—7312no—
594C4⋊C4—7324no—
595C4⋊C4—734no—
596C4⋊C4—7312no—
597C4⋊C4—734no—
598C4⋊C4—7312no—
599C4⋊C4—7312no—
600C4⋊C4—7312no—
601C4⋊C4—7312no—
602C4⋊C4C23×D73112yes—
603C4⋊C4C23×D73112yes—
604C22⋊C4—7312no—
605C22⋊C4—7324no—
606C22⋊C4—7312no—
607C22⋊C4—734no—
608C22⋊C4—7312no—
609C22⋊C4—7312no—
610C22⋊C4—7312no—
611C22⋊C4—7312no—
612C22⋊C4—7324no—
613C22⋊C4—734no—
614C22⋊C4—7312no—
615C22⋊C4—734no—
616C22⋊C4C23×D73124yes—
617C42—7324no—
618C42—7312no—
619C42—7312no—
620C42C23×D7314yes—
621C42C23×D73112yes—
622C42C23×D73112yes—
623C42C23×D73112yes—
624C23—26no—
625C23—26no—
626C23—26no—
627C23—732no—
628C23—736no—
629C23—1462no—
630C23—1466no—
631C23—1466no—
632C23—1462no—
633C23—1466no—
634C23—1462no—
635C23C24×D7316yes—
636C23C24×D7311yescharacteristic
637Q8—29212no—
638Q8—14624no—
639Q8C2×#11924028116yes—
640D4—224no—
641D4—29212no—
642D4—29212no—
643D4—29212no—
644D4—29224no—
645D4—14624no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—26no—
650C2×C4—26no—
651C2×C4—224no—
652C2×C4—412no—
653C2×C4—412no—
654C2×C4—29224no—
655C2×C4—732no—
656C2×C4—736no—
657C2×C4—732no—
658C2×C4—736no—
659C2×C4—736no—
660C2×C4—732no—
661C2×C4—1462no—
662C2×C4—1466no—
663C2×C4—1466no—
664C2×C4—1462no—
665C2×C4—1466no—
666C2×C4—1462no—
667C2×C4—14624no—
668C2×C4—14624no—
669C2×C4C2×#11924028112yes—
670C2×C4C24×D7316yes—
671C2×C4C24×D7312yes—
672C2×C4C24×D7312yes—
673C2×C4C24×D7312yes—
674C2×C4C24×D7316yes—
675C2×C4C24×D7316yes—
676C22—26no—
677C22—26no—
678C22—26no—
679C22—412no—
680C22—2924no—
681C22—29212no—
682C22—1462no—
683C22—1466no—
684C22—1466no—
685C22—1462no—
686C22—1466no—
687C22—1462no—
688C22C22×#1192402812yes—
689C22#1798942312yes—
690C22#1798942312yes—
691C22C25×D7311yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—26no—
696C4—26no—
697C4—1462no—
698C4—1466no—
699C4—1466no—
700C4—1462no—
701C4—1466no—
702C4—1462no—
703C4C22×#11924028112yes—
704C2—46no—
705C2—2922no—
706C2—2926no—
707C2#2262404014yesdirect product factor
708C2C23×#1192402811yescharacteristic
709C2C2×#1798942311yescharacteristic
710C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×C4×#41×C73C2
socleC23×C73C25
hypercenterC2×C4×#41D73
hypocenterC73C2×#3524
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #22624040C2direct (N × H)
2. C2×#17989320C2semidirect
3. C2×#17989313C2semidirect
4. C2×#17989300C2semidirect
5. C2×#17989287C2semidirect
6. C2×#17989276C2semidirect
7. C2×#17989256C2semidirect
8. C2×#17989249C2semidirect
9. C2×#17989244C2semidirect
10. C2×#17989202C2semidirect
11. C2×#17989188C2semidirect
12. C2×#17989121C2semidirect
13. C2×#17989121C2semidirect
14. C2×#17989069C2semidirect
15. C2×#17989063C2semidirect
16. C2×C4×#41×C73C2semidirect
19. #17989320C22semidirect
20. #17989313C22semidirect
21. #17989300C22semidirect
22. #17989287C22semidirect
23. #17989276C22semidirect
24. #17989256C22semidirect
25. #17989249C22semidirect
26. #17989244C22semidirect
27. #17989202C22semidirect
28. #17989188C22semidirect
31. #17989121C22semidirect
32. #17989121C22semidirect
56. #17989069C22semidirect
57. #17989063C22semidirect
75. C4×#41×C73C22semidirect
350. C2×C73#3524semidirect
371. C2×C4×#41D73semidirect
372. C73C2×#3524semidirect
415. C4×#41C2×D73semidirect
707. C2#22624040direct (N × H)

Maximal subgroups

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

subgroupindex
#226240402
C2×#179893202
C2×#179893132
C2×#179893002
C2×#179892872
C2×#179892762
C2×#179892562
C2×#179892492
C2×#179892442
C2×#179892022
C2×#179891882
C2×#179891212
C2×#179890692
C2×#179890632
C2×C4×#41×C732
C2×#352473