Finite Group Databasebeta

← C2×#22621135 #33958096

Subgroups — C2×#22621135 #33958096

Order 18688.

1770 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989141C211yesmaximal, characteristic
2C2×#125×D73C211yesmaximal, characteristic
3#22621135C2116yesmaximal, direct product factor
4C2×#17988995C211yesmaximal, characteristic, complemented
5C2×#17988994C211yesmaximal, characteristic, complemented
6C2×#17988954C211yesmaximal, characteristic, complemented
7C2×#17988954C211yesmaximal, characteristic, complemented
8C2×#17988924C211yesmaximal, characteristic
9C2×#17988921C211yesmaximal, characteristic
10C2×#17988919C211yesmaximal, characteristic
11C2×#17988916C211yesmaximal, characteristic
12C2×#17988895C211yesmaximal, characteristic, complemented
13C2×#17988894C211yesmaximal, characteristic, complemented
14C2×#17988891C211yesmaximal, characteristic, complemented
15C2×#17988643C211yesmaximal, characteristic
16C2×#479×C73C211yesmaximal, characteristic, complemented
17#17989141—24no—
18#17989141C2218yes—
19C2×#14556590C2211yescharacteristic
20C2×#14556589C2211yescharacteristic
21C2×#14556583C2211yescharacteristic
22C2×#14556582C2211yescharacteristic
23C2×#14556582C2211yescharacteristic
24C2×#14556581—21no—
25C2×#14556581—21no—
26C2×#14556581—21no—
27#125×D73—24no—
28#125×D73C2218yes—
29C2×#14556571C2211yescharacteristic
30C2×#14556569—21no—
31C2×#14556567C2211yescharacteristic
32C2×C4×Dic146—21no—
33C2×C4×Dic146C2211yescharacteristic
34C2×#14556548—21no—
35C2×C4⋊C4×D73—21no—
36C2×C4⋊C4×D73—21no—
37C2×C4⋊C4×D73C2211yescharacteristic
38C2×C4⋊C4×D73C2211yescharacteristic
39C2×C42×D73C2211yescharacteristic
40#17988995C2218yescomplemented
41#17988994C2218yescomplemented
42#17988954C2218yescomplemented
43#17988954C2218yescomplemented
44#17988924C2218yes—
45#17988921C2218yes—
46#17988919C2218yes—
47#17988916C2218yes—
48#17988895C2218yescomplemented
49#17988894C2218yescomplemented
50#17988891C2218yescomplemented
51#17988643C2218yes—
52C2×#14556525C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×C4⋊#10596831C2211yescharacteristic
59C2×#14556516C2211yescharacteristic
60C2×#14556516C2211yescharacteristic
61C2×#14556515C2211yescharacteristic
62C2×#14556515C2211yescharacteristic
63C2×#14556514C2211yescharacteristic
64C2×#14556514C2211yescharacteristic
65C2×#14556503C2211yescharacteristic
66C2×#14556503C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×#14556501C2211yescharacteristic
69C2×#125×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71#479×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146C2311yescharacteristic
79C22×C4×D73—21no—
80C22×C4×D73—21no—
81C22×C4×D73D411yescharacteristic
82C22×C4×D73D411yescharacteristic
83C22×C4×D73C2311yescharacteristic
84C22×#10596831C2311yescharacteristic
85C22×#10596831C2311yescharacteristic
86#14556590—22no—
87#14556590C2314yes—
88#14556589—22no—
89#14556589C2314yes—
90#14556583—22no—
91#14556583C2314yes—
92#14556582—22no—
93#14556582—22no—
94#14556582C2314yes—
95#14556582C2314yes—
96#14556581—28no—
97#14556581—28no—
98#14556581—28no—
99#14556571—22no—
100#14556571C2314yes—
101#14556569—28no—
102#14556567—22no—
103#14556567C2314yes—
104C4×Dic146—28no—
105C4×Dic146—22no—
106C4×Dic146C2314yes—
107#14556548—28no—
108C2×C4⋊Dic73—21no—
109C2×C4⋊Dic73—21no—
110C2×C4⋊Dic73—21no—
111C2×C4⋊Dic73C2311yescharacteristic
112C2×C4⋊Dic73C2311yescharacteristic
113C2×C4⋊Dic73C2311yescharacteristic
114C2×#11924007—21no—
115C2×#11924007—21no—
116C2×#11924007—21no—
117C2×#11924007—21no—
118C2×#11924007—21no—
119C2×#11924007—21no—
120C2×#11924007—21no—
121C2×#11924007—21no—
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C4⋊C4×D73—28no—
126C4⋊C4×D73—28no—
127C4⋊C4×D73—22no—
128C4⋊C4×D73—22no—
129C4⋊C4×D73C2314yes—
130C4⋊C4×D73C2314yes—
131C2×#11924005—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#14556515C2314yes—
149#14556515C2314yes—
150#14556514C2314yes—
151#14556514C2314yes—
152#14556503C2314yes—
153#14556503C2314yes—
154#14556501C2314yes—
155#14556501C2314yes—
156C22×Q8×C73C2311yescharacteristic
157C22×C8×C73C2311yescharacteristic
158C22×C8×C73C2311yescharacteristic
159#125×C73—22no—
160#125×C73C2314yes—
161C4×Q8×C73—22no—
162C4×Q8×C73C2314yes—
163C2×C4⋊C4×C73—21no—
164C2×C4⋊C4×C73—21no—
165C2×C4⋊C4×C73—21no—
166C2×C4⋊C4×C73C2311yescharacteristic
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C42×C73—21no—
170C2×C42×C73C2311yescharacteristic
171#107×C73C2314yes—
172#106×C73C2314yes—
173C4⋊C8×C73C2314yes—
174#103×C73C2314yes—
175#103×C73C2314yes—
176C23×D73C2×D411yescharacteristic
177C2×Dic146—22no—
178C2×Dic146—22no—
179C2×Dic146—21no—
180C2×Dic146—24no—
181C2×Dic146—44no—
182C2×Dic146C2412yes—
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⋊Dic73C2412yes—
213C4⋊Dic73C2412yes—
214C4⋊Dic73C2412yes—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219#11924007—24no—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224#11924007—24no—
225#11924007—24no—
226#11924005—24no—
227#11924005—24no—
228C4×Dic73—24no—
229C4×Dic73C2×D412yes—
230C4×Dic73C2×D414yes—
231C4×Dic73C2×D414yes—
232C4×Dic73C2412yes—
233C2×Q8×C73—21no—
234C2×Q8×C73—22no—
235C2×Q8×C73—22no—
236C2×Q8×C73C2412yes—
237C22×C4×C73—21no—
238C22×C4×C73—21no—
239C22×C4×C73—21no—
240C22×C4×C73—21no—
241C22×C4×C73C2×D411yescharacteristic
242C22×C4×C73C2×D411yescharacteristic
243C22×C4×C73C2411yescharacteristic
244C2×C8×C73—22no—
245C2×C8×C73—22no—
246C2×C8×C73C2412yes—
247C2×C8×C73C2412yes—
248C4⋊C4×C73—24no—
249C4⋊C4×C73—24no—
250C4⋊C4×C73—24no—
251C4⋊C4×C73—21no—
252C4⋊C4×C73—21no—
253C4⋊C4×C73—21no—
254C4⋊C4×C73C2412yes—
255C4⋊C4×C73C2412yes—
256C4⋊C4×C73C2412yes—
257C42×C73—24no—
258C42×C73C2×D412yes—
259C42×C73C2412yes—
260C23×C73C22×D411yescharacteristic
261C22×D73—22no—
262C22×D73—22no—
263C22×D73#13714yes—
264C22×D73C22×D412yes—
265Q8×C73—22no—
266Q8×C73—22no—
267Q8×C73—42no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—22no—
271C2×C4×C73—22no—
272C2×C4×C73—22no—
273C2×C4×C73—22no—
274C2×C4×C73—42no—
275C2×C4×C73—42no—
276C2×C4×C73—42no—
277C2×C4×C73—42no—
278C2×C4×C73C22×D412yes—
279C2×C4×C73C22×D412yes—
280C2×C4×C73C22×D411yescharacteristic
281C2×C4×C732−1+412yes—
282C2×C4×C732−1+412yes—
283C2×C4×C73C2511yescharacteristic
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295C2×Dic73C22×D412yes—
296C2×Dic73C22×D412yes—
297C2×Dic73C22×D412yes—
298C4×D73—28no—
299C4×D73—24no—
300C4×D73—22no—
301C4×D73—22no—
302C4×D73—44no—
303C4×D73—48no—
304C4×D73—48no—
305Dic146—22no—
306Dic146—22no—
307Dic146—48no—
308Dic146—42no—
309C8×C73—22no—
310C8×C73—22no—
311#10596831—22no—
312#10596831—22no—
313C22×C73#53612yes—
314C22×C73C2×#13712yes—
315C22×C73#57512yes—
316C22×C73C23×D411yescharacteristic
317C2×D73—22no—
318C2×D73—28no—
319C2×D73—22no—
320C2×D73C2×#13714yes—
321C4×C73—22no—
322C4×C73—22no—
323C4×C73—42no—
324C4×C73—42no—
325C4×C73—42no—
326C4×C73—42no—
327C4×C73#53612yes—
328C4×C73C2×2−1+411yescharacteristic
329C4×C73C2×2−1+411yescharacteristic
330Dic73—22no—
331Dic73—22no—
332Dic73—22no—
333Dic73—42no—
334Dic73—42no—
335Dic73—42no—
336Dic73—42no—
337C2×#3236—731nomaximal, Sylow
338C2×C73#323614yescomplemented
339C2×C73C2×#53611yescharacteristic
340C2×C73C22×#13711yescharacteristic
341C2×C73C2×#57511yescharacteristic
342D73—24no—
343C2×#533—731no—
344C22×#125—731no—
345#3236—7316no—
346C2×#501—731no—
347C2×#501—731no—
348C2×#491—731no—
349C2×#491—731no—
350C2×#484—731no—
351C2×#484—731no—
352C2×#483—731no—
353C2×#483—731no—
354C2×#479—731no—
355C2×#479—731no—
356C2×#479—731no—
357C2×#479D7311yescharacteristic, complemented
358C2×#432—731no—
359C73C2×#323611yescharacteristic, complemented, Sylow
360#533—738no—
361#533—1464no—
362C2×C4⋊Q8—731no—
363C2×C4⋊Q8—731no—
364C2×#125—738no—
365C2×#125—731no—
366C2×#125—731no—
367C2×#125—731no—
368C2×#125—1461no—
369C2×#125—1461no—
370C2×#125—1461no—
371C2×#125—1464no—
372C2×#125C2×D7311yescharacteristic
373C2×C22⋊Q8—731no—
374C2×C22⋊Q8—731no—
375C2×C22⋊Q8—1461no—
376C2×C4×Q8—731no—
377C2×C4×Q8—1461no—
378C2×C4×Q8C2×D7311yescharacteristic
379C2×#117—1461no—
380C22×C4⋊C4—731no—
381C22×C4⋊C4—731no—
382C22×C4⋊C4—1461no—
383C22×C4⋊C4—1461no—
384C22×C42—731no—
385#501—738no—
386#501—738no—
387#491—738no—
388#491—738no—
389#484—738no—
390#484—738no—
391#483—738no—
392#483—738no—
393#479—738no—
394#479—738no—
395#479—738no—
396#479C2×D7318yescomplemented
397#432—738no—
398C2×#107—731no—
399C2×#107—731no—
400C2×#107—731no—
401C2×#107C2×D7311yescharacteristic
402C2×#106—731no—
403C2×#106—731no—
404C2×#106—731no—
405C2×#106C2×D7311yescharacteristic
406C2×C4⋊C8—731no—
407C2×C4⋊C8C2×D7311yescharacteristic
408C2×#103—731no—
409C2×#103—731no—
410C2×#103—731no—
411C2×#103—731no—
412C2×#103—731no—
413C2×#103—731no—
414C2×#103C2×D7311yescharacteristic
415C2×#103C2×D7311yescharacteristic
416C2×C22⋊C8—731no—
417C2×C22⋊C8—731no—
418C2×#97—731no—
419C2×#97—731no—
420C22×Q8—731no—
421C22×Q8—1461no—
422C22×Q8C22×D7311yescharacteristic
423C23×C4—731no—
424C23×C4—731no—
425C23×C4—731no—
426C23×C4—1461no—
427C23×C4—1461no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C4⋊Q8—734no—
433C4⋊Q8—734no—
434C4⋊Q8—1462no—
435C4⋊Q8—1462no—
436#125—22no—
437#125—734no—
438#125—734no—
439#125—734no—
440#125—1468no—
441#125—1468no—
442#125—1462no—
443#125—1462no—
444#125—1468no—
445#125—1462no—
446#125C22×D7314yes—
447C22⋊Q8—734no—
448C22⋊Q8—734no—
449C22⋊Q8—1462no—
450C22⋊Q8—1468no—
451C22⋊Q8—1462no—
452C4×Q8—22no—
453C4×Q8—734no—
454C4×Q8—1468no—
455C4×Q8—1462no—
456C4×Q8C22×D7314yes—
457#117—1468no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—731no—
462C2×C4⋊C4—731no—
463C2×C4⋊C4—731no—
464C2×C4⋊C4—734no—
465C2×C4⋊C4—734no—
466C2×C4⋊C4—1462no—
467C2×C4⋊C4—1462no—
468C2×C4⋊C4—1468no—
469C2×C4⋊C4—1468no—
470C2×C4⋊C4—1461no—
471C2×C4⋊C4—1461no—
472C2×C4⋊C4—1461no—
473C2×C4⋊C4—1461no—
474C2×C4⋊C4—1461no—
475C2×C4⋊C4—1461no—
476C2×C4⋊C4—1461no—
477C2×C4⋊C4—1461no—
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⋊C4C22×D7311yescharacteristic
485C2×C4⋊C4C22×D7311yescharacteristic
486C2×C4⋊C4C22×D7311yescharacteristic
487C2×C22⋊C4—1461no—
488C2×C22⋊C4—1461no—
489C2×C42—21no—
490C2×C42—731no—
491C2×C42—731no—
492C2×C42—731no—
493C2×C42—734no—
494C2×C42—734no—
495C2×C42—1461no—
496C2×C42C22×D7311yescharacteristic
497#107—734no—
498#107—734no—
499#107—734no—
500#107C22×D7314yes—
501#106—734no—
502#106—734no—
503#106—734no—
504#106C22×D7314yes—
505C4⋊C8—734no—
506C4⋊C8C22×D7314yes—
507#103—734no—
508#103—734no—
509#103—734no—
510#103—734no—
511#103—734no—
512#103—734no—
513#103C22×D7314yes—
514#103C22×D7314yes—
515C22⋊C8—734no—
516C22⋊C8—734no—
517#97—734no—
518#97—734no—
519C24—731no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—2924no—
524C2×Q8—732no—
525C2×Q8—1464no—
526C2×Q8—1462no—
527C2×Q8—1462no—
528C2×Q8—1461no—
529C2×Q8C23×D7312yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—2922no—
535C22×C4—2924no—
536C22×C4—2924no—
537C22×C4—734no—
538C22×C4—731no—
539C22×C4—731no—
540C22×C4—731no—
541C22×C4—734no—
542C22×C4—732no—
543C22×C4—732no—
544C22×C4—1464no—
545C22×C4—1464no—
546C22×C4—1464no—
547C22×C4—1461no—
548C22×C4—1461no—
549C22×C4—1461no—
550C22×C4—1461no—
551C22×C4—1462no—
552C22×C4—1462no—
553C22×C4D4×D7311yescharacteristic
554C22×C4D4×D7311yescharacteristic
555C22×C4C23×D7311yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—732no—
559C2×C8—732no—
560C2×C8—1462no—
561C2×C8—1462no—
562C2×C8C23×D7312yes—
563C2×C8C23×D7312yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—732no—
571C4⋊C4—732no—
572C4⋊C4—732no—
573C4⋊C4—1464no—
574C4⋊C4—1464no—
575C4⋊C4—1464no—
576C4⋊C4—1464no—
577C4⋊C4—1464no—
578C4⋊C4—1464no—
579C4⋊C4—1464no—
580C4⋊C4—1464no—
581C4⋊C4—1464no—
582C4⋊C4—1464no—
583C4⋊C4—1464no—
584C4⋊C4—1464no—
585C4⋊C4—1464no—
586C4⋊C4—1464no—
587C4⋊C4—1461no—
588C4⋊C4—1461no—
589C4⋊C4—1461no—
590C4⋊C4C23×D7312yes—
591C4⋊C4C23×D7312yes—
592C4⋊C4C23×D7312yes—
593C22⋊C4—1464no—
594C22⋊C4—1464no—
595C42—24no—
596C42—734no—
597C42—734no—
598C42—732no—
599C42—732no—
600C42—1464no—
601C42D4×D7312yes—
602C42C23×D7312yes—
603C23—734no—
604C23—732no—
605C23—1462no—
606C23—1462no—
607C23C2×D4×D7311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—2928no—
612Q8—2922no—
613Q8—1462no—
614Q8—1462no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—2924no—
626C2×C4—2928no—
627C2×C4—2928no—
628C2×C4—2922no—
629C2×C4—2922no—
630C2×C4—2922no—
631C2×C4—2922no—
632C2×C4—732no—
633C2×C4—732no—
634C2×C4—732no—
635C2×C4—1468no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1464no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4C2×D4×D7312yes—
647C2×C4C2×D4×D7312yes—
648C2×C4C2×D4×D7311yescharacteristic
649C2×C4#1455663812yes—
650C2×C4#1455663912yes—
651C2×C4C24×D7311yescharacteristic
652C8—22no—
653C8—22no—
654C8—1462no—
655C8—1462no—
656C22—734no—
657C22—1462no—
658C22—1462no—
659C22—1468no—
660C22#1798916012yes—
661C22#137×D7312yes—
662C22#1798938412yes—
663C22C22×D4×D7311yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—2922no—
671C4—2922no—
672C4—2922no—
673C4—2922no—
674C4—1462no—
675C4—1462no—
676C4—1462no—
677C4#1798916012yes—
678C4C2×#1455663811yescharacteristic
679C4C2×#1455663911yescharacteristic
680C2—1464no—
681C2#2262113514yesdirect product factor
682C2C2×#1798916011yescharacteristic
683C2C2×#137×D7311yescharacteristic
684C2C2×#1798938411yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#479×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#479D73
hypocenterC73C2×#3236
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #22621135C2direct (N × H)
4. C2×#17988995C2semidirect
5. C2×#17988994C2semidirect
6. C2×#17988954C2semidirect
7. C2×#17988954C2semidirect
12. C2×#17988895C2semidirect
13. C2×#17988894C2semidirect
14. C2×#17988891C2semidirect
16. C2×#479×C73C2semidirect
40. #17988995C22semidirect
41. #17988994C22semidirect
42. #17988954C22semidirect
43. #17988954C22semidirect
48. #17988895C22semidirect
49. #17988894C22semidirect
50. #17988891C22semidirect
71. #479×C73C22semidirect
338. C2×C73#3236semidirect
357. C2×#479D73semidirect
359. C73C2×#3236semidirect
396. #479C2×D73semidirect
681. C2#22621135direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179891412
C2×#125×D732
#226211352
C2×#179889952
C2×#179889942
C2×#179889542
C2×#179889242
C2×#179889212
C2×#179889192
C2×#179889162
C2×#179888952
C2×#179888942
C2×#179888912
C2×#179886432
C2×#479×C732
C2×#323673