Finite Group Databasebeta

← C2×#22621097 #33958012

Subgroups — C2×#22621097 #33958012

Order 18688.

1822 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
1C2×#17989119C211yesmaximal, characteristic
2C2×#125×D73C211yesmaximal, characteristic, complemented
3#22621097C2116yesmaximal, direct product factor
4C2×#17988988C211yesmaximal, characteristic, complemented
5C2×#17988987C211yesmaximal, characteristic, complemented
6C2×#17988940C211yesmaximal, characteristic, complemented
7C2×#17988940C211yesmaximal, characteristic, complemented
8C2×#17988924C211yesmaximal, characteristic, complemented
9C2×#17988904C211yesmaximal, characteristic
10C2×#17988919C211yesmaximal, characteristic, complemented
11C2×#17988899C211yesmaximal, characteristic
12C2×#17988895C211yesmaximal, characteristic, complemented
13C2×#17988891C211yesmaximal, characteristic, complemented
14C2×#17988887C211yesmaximal, characteristic, complemented
15C2×#17988639C211yesmaximal, characteristic, complemented
16C2×#478×C73C211yesmaximal, characteristic, complemented
17#17989119—24no—
18#17989119C2218yes—
19C2×#14556584—21no—
20C2×#14556583C2211yescharacteristic
21C2×#14556582C2211yescharacteristic
22C2×#14556582C2211yescharacteristic
23C2×#14556582C2211yescharacteristic
24C2×#14556581—21no—
25C2×#14556581—21no—
26#125×D73—24no—
27#125×D73C2218yescomplemented
28C2×#14556578C2211yescharacteristic
29C2×#14556573—21no—
30C2×#14556571C2211yescharacteristic
31C2×#14556562C2211yescharacteristic
32C2×C4×Dic146C2211yescharacteristic
33C2×C4×C22⋊D73—21no—
34C2×#14556550—21no—
35C2×C4⋊C4×D73—21no—
36C2×C4⋊C4×D73—21no—
37C2×C4⋊C4×D73C2211yescharacteristic
38C2×C4⋊C4×D73C2211yescharacteristic
39C2×C42×D73C2211yescharacteristic
40#17988988C2218yescomplemented
41#17988987C2218yescomplemented
42#17988940C2218yescomplemented
43#17988940C2218yescomplemented
44#17988924C2218yescomplemented
45#17988919C2218yescomplemented
46#17988904C2218yes—
47#17988899C2218yes—
48#17988895C2218yescomplemented
49#17988891C2218yescomplemented
50#17988887C2218yescomplemented
51#17988639C2218yescomplemented
52C2×#14556525C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×C4⋊#10596831C2211yescharacteristic
59C2×#14556516C2211yescharacteristic
60C2×#14556516C2211yescharacteristic
61C2×#14556514C2211yescharacteristic
62C2×#14556514C2211yescharacteristic
63C2×#14556512C2211yescharacteristic
64C2×#14556512C2211yescharacteristic
65C2×#14556503C2211yescharacteristic
66C2×#14556503C2211yescharacteristic
67C2×C8×Dic73C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×#125×C73C2211yescharacteristic
70C2×C4×D4×C73C2211yescharacteristic
71#478×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×#102×C73C2211yescharacteristic
77C22×Dic146C2311yescharacteristic
78C22×C22⋊D73—21no—
79C22×C4×D73—21no—
80C22×C4×D73—21no—
81C22×C4×D73D411yescharacteristic
82C22×C4×D73D411yescharacteristic
83C22×C4×D73C2311yescharacteristic
84C22×#10596831C2311yescharacteristic
85C22×#10596831C2311yescharacteristic
86#14556584—28no—
87#14556583—22no—
88#14556583C2314yes—
89#14556582—22no—
90#14556582—22no—
91#14556582—22no—
92#14556582C2314yes—
93#14556582C2314yes—
94#14556582C2314yes—
95#14556581—28no—
96#14556581—28no—
97#14556578—22no—
98#14556578C2314yes—
99#14556573—28no—
100#14556571—22no—
101#14556571C2314yes—
102#14556562—22no—
103#14556562C2314yes—
104C4×Dic146—22no—
105C4×Dic146C2314yes—
106C4×C22⋊D73—28no—
107#14556550—28no—
108C2×C4⋊Dic73—21no—
109C2×C4⋊Dic73—21no—
110C2×C4⋊Dic73—21no—
111C2×C4⋊Dic73—21no—
112C2×C4⋊Dic73C2311yescharacteristic
113C2×C4⋊Dic73C2311yescharacteristic
114C2×C4⋊Dic73C2311yescharacteristic
115C2×#11924007—21no—
116C2×#11924007—21no—
117C2×#11924007—21no—
118C2×#11924007—21no—
119C2×#11924007—21no—
120C2×#11924007—21no—
121C2×#11924007—21no—
122C2×#11924007—21no—
123C4⋊C4×D73—28no—
124C4⋊C4×D73—28no—
125C4⋊C4×D73—22no—
126C4⋊C4×D73—22no—
127C4⋊C4×D73C2314yes—
128C4⋊C4×D73C2314yes—
129C2×C22⋊Dic73—21no—
130C2×C22⋊Dic73—21no—
131C2×C22⋊Dic73—21no—
132C2×#11924005—21no—
133C2×C4×Dic73—21no—
134C2×C4×Dic73D411yescharacteristic
135C2×C4×Dic73D411yescharacteristic
136C2×C4×Dic73C2311yescharacteristic
137C42×D73D414yes—
138C42×D73C2314yes—
139#14556525C2314yes—
140#14556524C2314yes—
141#14556524C2314yes—
142#14556523C2314yes—
143#14556522C2314yes—
144#14556522C2314yes—
145C4⋊#10596831C2314yes—
146#14556516C2314yes—
147#14556516C2314yes—
148#14556514C2314yes—
149#14556514C2314yes—
150#14556512C2314yes—
151#14556512C2314yes—
152#14556503C2314yes—
153#14556503C2314yes—
154C8×Dic73C2314yes—
155C8×Dic73C2314yes—
156C22×D4×C73C2311yescharacteristic
157C23×C4×C73—21no—
158C22×C8×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160#125×C73—22no—
161#125×C73C2314yes—
162C4×D4×C73—22no—
163C4×D4×C73C2314yes—
164C2×C4⋊C4×C73—21no—
165C2×C4⋊C4×C73—21no—
166C2×C4⋊C4×C73C2311yescharacteristic
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C22⋊C4×C73—21no—
170C2×C42×C73C2311yescharacteristic
171#107×C73C2314yes—
172#106×C73C2314yes—
173C4⋊C8×C73C2314yes—
174#102×C73C2314yes—
175#102×C73C2314yes—
176C23×D73C2×D411yescharacteristic
177C2×Dic146—22no—
178C2×Dic146—22no—
179C2×Dic146—21no—
180C2×Dic146C2412yes—
181C2×C22⋊D73—24no—
182C2×C22⋊D73—44no—
183C22×Dic73—21no—
184C22×Dic73—21no—
185C22×Dic73—21no—
186C22×Dic73—21no—
187C22×Dic73C2×D411yescharacteristic
188C22×Dic73C2×D411yescharacteristic
189C22×Dic73C2×D411yescharacteristic
190C2×C4×D73—24no—
191C2×C4×D73—22no—
192C2×C4×D73—22no—
193C2×C4×D73—24no—
194C2×C4×D73—24no—
195C2×C4×D73—42no—
196C2×C4×D73—44no—
197C2×C4×D73—44no—
198C2×C4×D73C2×D412yes—
199C2×C4×D73C2×D414yes—
200C2×C4×D73C2×D414yes—
201C2×C4×D73C2412yes—
202C2×#10596831—22no—
203C2×#10596831—22no—
204C2×#10596831C2412yes—
205C2×#10596831C2412yes—
206C4⋊Dic73—21no—
207C4⋊Dic73—21no—
208C4⋊Dic73—21no—
209C4⋊Dic73—24no—
210C4⋊Dic73—24no—
211C4⋊Dic73—24no—
212C4⋊Dic73—24no—
213C4⋊Dic73C2412yes—
214C4⋊Dic73C2412yes—
215C4⋊Dic73C2412yes—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219#11924007—24no—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224C22⋊Dic73—24no—
225C22⋊Dic73—24no—
226C22⋊Dic73—24no—
227#11924005—24no—
228C4×Dic73—24no—
229C4×Dic73C2×D412yes—
230C4×Dic73C2×D414yes—
231C4×Dic73C2×D414yes—
232C4×Dic73C2412yes—
233C24×C73—21no—
234C2×D4×C73—21no—
235C2×D4×C73—22no—
236C2×D4×C73—22no—
237C2×D4×C73C2412yes—
238C22×C4×C73—21no—
239C22×C4×C73—21no—
240C22×C4×C73—21no—
241C22×C4×C73—24no—
242C22×C4×C73—44no—
243C22×C4×C73C2×D411yescharacteristic
244C22×C4×C73C2×D411yescharacteristic
245C22×C4×C73C2411yescharacteristic
246C2×C8×C73—22no—
247C2×C8×C73—22no—
248C2×C8×C73C2412yes—
249C2×C8×C73C2412yes—
250C4⋊C4×C73—24no—
251C4⋊C4×C73—24no—
252C4⋊C4×C73—21no—
253C4⋊C4×C73—21no—
254C4⋊C4×C73—21no—
255C4⋊C4×C73C2412yes—
256C4⋊C4×C73C2412yes—
257C4⋊C4×C73C2412yes—
258C22⋊C4×C73—24no—
259C42×C73C2×D412yes—
260C42×C73C2412yes—
261C23×C73—22no—
262C23×C73—42no—
263C23×C73—42no—
264C23×C73—42no—
265C23×C73C22×D411yescharacteristic
266C22×D73—22no—
267C22×D73—22no—
268C22×D73#13514yes—
269C22×D73C22×D412yes—
270D4×C73—22no—
271D4×C73—22no—
272D4×C73—42no—
273C2×C4×C73—22no—
274C2×C4×C73—22no—
275C2×C4×C73—22no—
276C2×C4×C73—22no—
277C2×C4×C73—22no—
278C2×C4×C73—48no—
279C2×C4×C73—42no—
280C2×C4×C73—42no—
281C2×C4×C73—42no—
282C2×C4×C73C22×D412yes—
283C2×C4×C73C22×D412yes—
284C2×C4×C73C22×D411yescharacteristic
285C2×C4×C732−1+412yes—
286C2×C4×C732−1+412yes—
287C2×C4×C73C2511yescharacteristic
288C22⋊D73—48no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73—42no—
300C2×Dic73C22×D412yes—
301C2×Dic73C22×D412yes—
302C2×Dic73C22×D412yes—
303C4×D73—28no—
304C4×D73—24no—
305C4×D73—22no—
306C4×D73—22no—
307C4×D73—44no—
308C4×D73—48no—
309C4×D73—48no—
310Dic146—22no—
311Dic146—22no—
312Dic146—42no—
313C8×C73—22no—
314C8×C73—22no—
315#10596831—22no—
316#10596831—22no—
317C22×C73—42no—
318C22×C73—42no—
319C22×C73—42no—
320C22×C73—84no—
321C22×C73#53612yes—
322C22×C73C2×#13512yes—
323C22×C73#57512yes—
324C22×C73C23×D411yescharacteristic
325C2×D73—22no—
326C2×D73—28no—
327C2×D73—22no—
328C2×D73C2×#13514yes—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73#53612yes—
335C4×C73C2×2−1+411yescharacteristic
336C4×C73C2×2−1+411yescharacteristic
337Dic73—22no—
338Dic73—22no—
339Dic73—22no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73—42no—
344C2×#3232—731nomaximal, Sylow
345C2×C73—82no—
346C2×C73#323214yescomplemented
347C2×C73C2×#53611yescharacteristic
348C2×C73C22×#13511yescharacteristic
349C2×C73C2×#57511yescharacteristic
350D73—24no—
351C2×#529—731no—
352C22×#125—731no—
353#3232—7316no—
354C2×#499—731no—
355C2×#499—731no—
356C2×#488—731no—
357C2×#488—731no—
358C2×#484—731no—
359C2×#481—731no—
360C2×#483—731no—
361C2×#480—731no—
362C2×#479—731no—
363C2×#479—731no—
364C2×#478—731no—
365C2×#478D7311yescharacteristic, complemented
366C2×#431—731no—
367C73C2×#323211yescharacteristic, complemented, Sylow
368#529—738no—
369#529—1464no—
370C2×#126—1461no—
371C2×#125—738no—
372C2×#125—731no—
373C2×#125—731no—
374C2×#125—731no—
375C2×#125—731no—
376C2×#125—1461no—
377C2×#125—1461no—
378C2×#125—1464no—
379C2×#125C2×D7311yescharacteristic
380C2×#124—731no—
381C2×#123—1461no—
382C2×C22⋊Q8—731no—
383C2×#121—731no—
384C2×C4×Q8—731no—
385C2×C4×D4—1461no—
386C2×C4×D4C2×D7311yescharacteristic
387C2×#117—1461no—
388C22×C4⋊C4—731no—
389C22×C4⋊C4—731no—
390C22×C4⋊C4—1461no—
391C22×C4⋊C4—1461no—
392C22×C42—731no—
393#499—738no—
394#499—738no—
395#488—738no—
396#488—738no—
397#484—738no—
398#483—738no—
399#481—738no—
400#480—738no—
401#479—738no—
402#479—738no—
403#478—738no—
404#478C2×D7318yescomplemented
405#431—738no—
406C2×#107—731no—
407C2×#107—731no—
408C2×#107—731no—
409C2×#107C2×D7311yescharacteristic
410C2×#106—731no—
411C2×#106—731no—
412C2×#106—731no—
413C2×#106C2×D7311yescharacteristic
414C2×C4⋊C8—731no—
415C2×C4⋊C8C2×D7311yescharacteristic
416C2×#103—731no—
417C2×#103—731no—
418C2×#103—731no—
419C2×#103—731no—
420C2×#102—731no—
421C2×#102—731no—
422C2×#102C2×D7311yescharacteristic
423C2×#102C2×D7311yescharacteristic
424C2×C22⋊C8—731no—
425C2×C22⋊C8—731no—
426C2×C4×C8—731no—
427C2×C4×C8—731no—
428C22×Q8—731no—
429C22×D4—1461no—
430C22×D4C22×D7311yescharacteristic
431C23×C4—21no—
432C23×C4—731no—
433C23×C4—731no—
434C23×C4—731no—
435C23×C4—1461no—
436C23×C4—1461no—
437C22×C8—731no—
438C22×C8—731no—
439C22×C8C22×D7311yescharacteristic
440C22×C8C22×D7311yescharacteristic
441#126—1468no—
442#125—22no—
443#125—734no—
444#125—734no—
445#125—734no—
446#125—734no—
447#125—1468no—
448#125—1468no—
449#125—1462no—
450#125—1462no—
451#125—1462no—
452#125—1462no—
453#125C22×D7314yes—
454#124—734no—
455#124—1462no—
456#123—1468no—
457C22⋊Q8—734no—
458C22⋊Q8—1462no—
459#121—734no—
460#121—1462no—
461C4×Q8—734no—
462C4×Q8—1462no—
463C4×D4—22no—
464C4×D4—1468no—
465C4×D4C22×D7314yes—
466#117—1468no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—731no—
470C2×C4⋊C4—731no—
471C2×C4⋊C4—731no—
472C2×C4⋊C4—734no—
473C2×C4⋊C4—734no—
474C2×C4⋊C4—1462no—
475C2×C4⋊C4—1462no—
476C2×C4⋊C4—1468no—
477C2×C4⋊C4—1468no—
478C2×C4⋊C4—1461no—
479C2×C4⋊C4—1461no—
480C2×C4⋊C4—1461no—
481C2×C4⋊C4—1461no—
482C2×C4⋊C4—1461no—
483C2×C4⋊C4—1461no—
484C2×C4⋊C4—1461no—
485C2×C4⋊C4—1461no—
486C2×C4⋊C4—1461no—
487C2×C4⋊C4—1461no—
488C2×C4⋊C4—1461no—
489C2×C4⋊C4—1461no—
490C2×C4⋊C4C22×D7311yescharacteristic
491C2×C4⋊C4C22×D7311yescharacteristic
492C2×C4⋊C4C22×D7311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—1461no—
495C2×C22⋊C4—1461no—
496C2×C22⋊C4—1461no—
497C2×C22⋊C4—1461no—
498C2×C42—731no—
499C2×C42—731no—
500C2×C42—731no—
501C2×C42—734no—
502C2×C42—734no—
503C2×C42—1461no—
504C2×C42C22×D7311yescharacteristic
505#107—734no—
506#107—734no—
507#107—734no—
508#107C22×D7314yes—
509#106—734no—
510#106—734no—
511#106—734no—
512#106C22×D7314yes—
513C4⋊C8—734no—
514C4⋊C8C22×D7314yes—
515#103—734no—
516#103—734no—
517#103—734no—
518#103—734no—
519#102—734no—
520#102—734no—
521#102C22×D7314yes—
522#102C22×D7314yes—
523C22⋊C8—734no—
524C22⋊C8—734no—
525C4×C8—734no—
526C4×C8—734no—
527C24—21no—
528C24—731no—
529C2×Q8—732no—
530C2×Q8—1462no—
531C2×Q8—1462no—
532C2×Q8—1461no—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—2924no—
537C2×D4—1464no—
538C2×D4C23×D7312yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—24no—
543C22×C4—44no—
544C22×C4—2922no—
545C22×C4—2924no—
546C22×C4—2924no—
547C22×C4—734no—
548C22×C4—731no—
549C22×C4—731no—
550C22×C4—731no—
551C22×C4—732no—
552C22×C4—734no—
553C22×C4—732no—
554C22×C4—1464no—
555C22×C4—1464no—
556C22×C4—1464no—
557C22×C4—1461no—
558C22×C4—1461no—
559C22×C4—1461no—
560C22×C4—1461no—
561C22×C4—1462no—
562C22×C4—1462no—
563C22×C4D4×D7311yescharacteristic
564C22×C4D4×D7311yescharacteristic
565C22×C4C23×D7311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—732no—
569C2×C8—732no—
570C2×C8—1462no—
571C2×C8—1462no—
572C2×C8C23×D7312yes—
573C2×C8C23×D7312yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—732no—
580C4⋊C4—732no—
581C4⋊C4—732no—
582C4⋊C4—1464no—
583C4⋊C4—1464no—
584C4⋊C4—1464no—
585C4⋊C4—1464no—
586C4⋊C4—1464no—
587C4⋊C4—1464no—
588C4⋊C4—1464no—
589C4⋊C4—1464no—
590C4⋊C4—1464no—
591C4⋊C4—1464no—
592C4⋊C4—1464no—
593C4⋊C4—1464no—
594C4⋊C4—1461no—
595C4⋊C4—1461no—
596C4⋊C4—1461no—
597C4⋊C4C23×D7312yes—
598C4⋊C4C23×D7312yes—
599C4⋊C4C23×D7312yes—
600C22⋊C4—24no—
601C22⋊C4—1464no—
602C22⋊C4—1464no—
603C22⋊C4—1464no—
604C22⋊C4—1464no—
605C42—734no—
606C42—732no—
607C42—734no—
608C42—732no—
609C42—1464no—
610C42D4×D7312yes—
611C42C23×D7312yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—732no—
617C23—734no—
618C23—1462no—
619C23—1462no—
620C23C2×D4×D7311yescharacteristic
621Q8—2922no—
622Q8—1462no—
623Q8—1462no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—2928no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—2924no—
638C2×C4—2928no—
639C2×C4—2928no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—2922no—
643C2×C4—2922no—
644C2×C4—732no—
645C2×C4—732no—
646C2×C4—732no—
647C2×C4—1468no—
648C2×C4—1462no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4—1464no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4C2×D4×D7312yes—
659C2×C4C2×D4×D7312yes—
660C2×C4C2×D4×D7311yescharacteristic
661C2×C4#1455663812yes—
662C2×C4#1455663912yes—
663C2×C4C24×D7311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1462no—
667C8—1462no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—734no—
673C22—1462no—
674C22—1462no—
675C22—1468no—
676C22#1798916012yes—
677C22#135×D7312yes—
678C22#1798938312yes—
679C22C22×D4×D7311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—2922no—
689C4—1462no—
690C4—1462no—
691C4—1462no—
692C4#1798916012yes—
693C4C2×#1455663811yescharacteristic
694C4C2×#1455663911yescharacteristic
695C2—82no—
696C2—1464no—
697C2#2262109714yesdirect product factor
698C2C2×#1798916011yescharacteristic
699C2C2×#135×D7311yescharacteristic
700C2C2×#1798938311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#478×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556562C22
hypercenterC2×#478D73
hypocenterC73C2×#3232
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
2. C2×#125×D73C2semidirect
3. #22621097C2direct (N × H)
4. C2×#17988988C2semidirect
5. C2×#17988987C2semidirect
6. C2×#17988940C2semidirect
7. C2×#17988940C2semidirect
8. C2×#17988924C2semidirect
10. C2×#17988919C2semidirect
12. C2×#17988895C2semidirect
13. C2×#17988891C2semidirect
14. C2×#17988887C2semidirect
15. C2×#17988639C2semidirect
16. C2×#478×C73C2semidirect
27. #125×D73C22semidirect
40. #17988988C22semidirect
41. #17988987C22semidirect
42. #17988940C22semidirect
43. #17988940C22semidirect
44. #17988924C22semidirect
45. #17988919C22semidirect
48. #17988895C22semidirect
49. #17988891C22semidirect
50. #17988887C22semidirect
51. #17988639C22semidirect
71. #478×C73C22semidirect
346. C2×C73#3232semidirect
365. C2×#478D73semidirect
367. C73C2×#3232semidirect
404. #478C2×D73semidirect
697. C2#22621097direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179891192
C2×#125×D732
#226210972
C2×#179889882
C2×#179889872
C2×#179889402
C2×#179889242
C2×#179889042
C2×#179889192
C2×#179888992
C2×#179888952
C2×#179888912
C2×#179888872
C2×#179886392
C2×#478×C732
C2×#323273