Finite Group Databasebeta

← C2×#22621201 #33958191

Subgroups — C2×#22621201 #33958191

Order 18688.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989215C211yesmaximal, characteristic
2C2×#17989199C211yesmaximal, characteristic
3#22621201C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988989C211yesmaximal, characteristic, complemented
6C2×#17988956C211yesmaximal, characteristic, complemented
7C2×#17988938C211yesmaximal, characteristic, complemented
8C2×#17988923C211yesmaximal, characteristic
9C2×#17988929C211yesmaximal, characteristic
10C2×#17988929C211yesmaximal, characteristic
11C2×#17988918C211yesmaximal, characteristic
12C2×#17988895C211yesmaximal, characteristic, complemented
13C2×#17988895C211yesmaximal, characteristic, complemented
14C2×#17988883C211yesmaximal, characteristic, complemented
15C2×#17988873C211yesmaximal, characteristic, complemented
16C2×#433×C73C211yesmaximal, characteristic
17#17989215—24no—
18#17989215C2218yes—
19#17989199—24no—
20#17989199C2218yes—
21C2×#14556591C2211yescharacteristic
22C2×#14556591C2211yescharacteristic
23C2×#14556591C2211yescharacteristic
24C2×#14556590—21no—
25C2×#14556584—21no—
26C2×#14556584—21no—
27C2×#14556583C2211yescharacteristic
28C2×#14556583C2211yescharacteristic
29C2×#14556583C2211yescharacteristic
30C2×#14556582—21no—
31C2×#14556581—21no—
32C2×#14556581—21no—
33C2×#14556570C2211yescharacteristic
34C2×#14556570C2211yescharacteristic
35C2×#14556568—21no—
36C2×#14556568—21no—
37C2×C4×Dic146C2211yescharacteristic
38C2×C4×Dic146C2211yescharacteristic
39C2×#14556550C2211yescharacteristic
40C22×C4⋊Dic73C2211yescharacteristic
41#17988996C2218yescomplemented
42#17988989C2218yescomplemented
43#17988956C2218yescomplemented
44#17988938C2218yescomplemented
45#17988929C2218yes—
46#17988929C2218yes—
47#17988923C2218yes—
48#17988918C2218yes—
49#17988895C2218yescomplemented
50#17988895C2218yescomplemented
51#17988883C2218yescomplemented
52#17988873C2218yescomplemented
53C2×#14556525C2211yescharacteristic
54C2×#14556525C2211yescharacteristic
55C2×#14556525C2211yescharacteristic
56C2×#14556525C2211yescharacteristic
57C2×#14556523C2211yescharacteristic
58C2×#14556523C2211yescharacteristic
59C2×#14556523C2211yescharacteristic
60C2×#14556523C2211yescharacteristic
61C2×#14556516C2211yescharacteristic
62C2×#14556516C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556516C2211yescharacteristic
65C2×#14556516C2211yescharacteristic
66C2×#14556516C2211yescharacteristic
67C2×#14556516C2211yescharacteristic
68C2×#14556516C2211yescharacteristic
69C2×#117×C73C2211yescharacteristic
70#433×C73C2218yes—
71C2×C4⋊C8×C73C2211yescharacteristic
72C2×C4⋊C8×C73C2211yescharacteristic
73C2×C22⋊C8×C73C2211yescharacteristic
74C2×C22⋊C8×C73C2211yescharacteristic
75C2×#97×C73C2211yescharacteristic
76C2×C4×C8×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146C2311yescharacteristic
80C22×Dic146C2311yescharacteristic
81C23×Dic73—21no—
82#14556591—22no—
83#14556591—22no—
84#14556591—22no—
85#14556591C2314yes—
86#14556591C2314yes—
87#14556591C2314yes—
88#14556590—28no—
89#14556584—28no—
90#14556584—28no—
91#14556583—22no—
92#14556583—22no—
93#14556583—22no—
94#14556583C2314yes—
95#14556583C2314yes—
96#14556583C2314yes—
97#14556582—28no—
98#14556581—28no—
99#14556581—28no—
100#14556570—22no—
101#14556570—22no—
102#14556570C2314yes—
103#14556570C2314yes—
104#14556568—28no—
105#14556568—28no—
106C4×Dic146—22no—
107C4×Dic146—22no—
108C4×Dic146C2314yes—
109C4×Dic146C2314yes—
110#14556550—22no—
111#14556550C2314yes—
112C2×C4⋊Dic73—21no—
113C2×C4⋊Dic73—21no—
114C2×C4⋊Dic73—21no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—22no—
118C2×C4⋊Dic73C2311yescharacteristic
119C2×C4⋊Dic73C2311yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2314yes—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007—21no—
132C2×#11924007—21no—
133C2×#11924007—21no—
134C2×#11924007—21no—
135C2×C22⋊Dic73—21no—
136C2×C22⋊Dic73—21no—
137C2×C22⋊Dic73—21no—
138C2×C4×Dic73—21no—
139C2×C4×Dic73—21no—
140C2×C4×Dic73—21no—
141#14556525C2314yes—
142#14556525C2314yes—
143#14556525C2314yes—
144#14556525C2314yes—
145#14556523C2314yes—
146#14556523C2314yes—
147#14556523C2314yes—
148#14556523C2314yes—
149#14556516C2314yes—
150#14556516C2314yes—
151#14556516C2314yes—
152#14556516C2314yes—
153#14556516C2314yes—
154#14556516C2314yes—
155#14556516C2314yes—
156#14556516C2314yes—
157C23×C4×C73C2311yescharacteristic
158C22×C8×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162#117×C73D414yes—
163#117×C73C2314yes—
164C2×C4⋊C4×C73D411yescharacteristic
165C2×C4⋊C4×C73D411yescharacteristic
166C2×C22⋊C4×C73D411yescharacteristic
167C2×C22⋊C4×C73D411yescharacteristic
168C2×C42×C73C2311yescharacteristic
169C2×C42×C73C2311yescharacteristic
170C4⋊C8×C73C2314yes—
171C4⋊C8×C73C2314yes—
172C22⋊C8×C73C2314yes—
173C22⋊C8×C73C2314yes—
174#97×C73C2314yes—
175C4×C8×C73C2314yes—
176C2×Dic146—22no—
177C2×Dic146—22no—
178C2×Dic146—22no—
179C2×Dic146—22no—
180C2×Dic146—21no—
181C2×Dic146—21no—
182C2×Dic146—24no—
183C2×Dic146—24no—
184C2×Dic146—82no—
185C2×Dic146—82no—
186C2×Dic146C2412yes—
187C2×Dic146C2412yes—
188C22×Dic73—21no—
189C22×Dic73—21no—
190C22×Dic73—21no—
191C22×Dic73—21no—
192C22×Dic73—21no—
193C22×Dic73—21no—
194C22×Dic73—21no—
195C22×Dic73—21no—
196C22×Dic73—24no—
197C22×Dic73—82no—
198C4⋊Dic73—24no—
199C4⋊Dic73—21no—
200C4⋊Dic73—21no—
201C4⋊Dic73—24no—
202C4⋊Dic73—24no—
203C4⋊Dic73—24no—
204C4⋊Dic73—24no—
205C4⋊Dic73—21no—
206C4⋊Dic73—21no—
207C4⋊Dic73—21no—
208C4⋊Dic73—21no—
209C4⋊Dic73C2412yes—
210C4⋊Dic73C2412yes—
211C4⋊Dic73C2412yes—
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—
225C22⋊Dic73—24no—
226C22⋊Dic73—24no—
227C22⋊Dic73—24no—
228C4×Dic73—24no—
229C4×Dic73—24no—
230C4×Dic73—24no—
231C24×C73C2×D411yescharacteristic
232C22×C4×C73—22no—
233C22×C4×C73—22no—
234C22×C4×C73C2×D411yescharacteristic
235C22×C4×C73C2×D411yescharacteristic
236C22×C4×C73C2×D411yescharacteristic
237C22×C4×C73C2×D411yescharacteristic
238C22×C4×C73C2×D411yescharacteristic
239C22×C4×C73C2×D412yes—
240C22×C4×C73C2412yes—
241C22×C4×C73C2411yescharacteristic
242C2×C8×C73—22no—
243C2×C8×C73—22no—
244C2×C8×C73—22no—
245C2×C8×C73—22no—
246C2×C8×C73C2412yes—
247C2×C8×C73C2412yes—
248C2×C8×C73C2412yes—
249C2×C8×C73C2412yes—
250C4⋊C4×C73C2×D414yes—
251C4⋊C4×C73C2×D414yes—
252C22⋊C4×C73C2×D414yes—
253C22⋊C4×C73C2×D414yes—
254C42×C73C2×D412yes—
255C42×C73C2×D412yes—
256C42×C73C2412yes—
257C42×C73C2412yes—
258C23×C73—22no—
259C23×C73—22no—
260C23×C73—22no—
261C23×C73C22×D412yes—
262C23×C73C22×D411yescharacteristic
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—22no—
266C2×C4×C73—22no—
267C2×C4×C73—22no—
268C2×C4×C73—24no—
269C2×C4×C73—22no—
270C2×C4×C73—22no—
271C2×C4×C73C22×D412yes—
272C2×C4×C73C22×D412yes—
273C2×C4×C73C22×D412yes—
274C2×C4×C73C22×D412yes—
275C2×C4×C73C22×D412yes—
276C2×C4×C73C22×D411yescharacteristic
277C2×C4×C732−1+412yes—
278C2×C4×C732−1+412yes—
279C2×C4×C73C2511yescharacteristic
280C2×Dic73—22no—
281C2×Dic73—22no—
282C2×Dic73—22no—
283C2×Dic73—22no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—42no—
289C2×Dic73—42no—
290C2×Dic73—42no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295C2×Dic73—42no—
296C2×Dic73—84no—
297Dic146—22no—
298Dic146—22no—
299Dic146—22no—
300Dic146—22no—
301Dic146—42no—
302Dic146—42no—
303Dic146—84no—
304Dic146—84no—
305C8×C73—22no—
306C8×C73—22no—
307C8×C73—22no—
308C8×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—44no—
313C22×C73#53612yes—
314C22×C73#57712yes—
315C22×C73#57812yes—
316C22×C73C23×D411yescharacteristic
317C4×C73—22no—
318C4×C73—22no—
319C4×C73—22no—
320C4×C73—22no—
321C4×C73—22no—
322C4×C73#53612yes—
323C4×C73C2×2−1+411yescharacteristic
324C4×C73C2×2−1+411yescharacteristic
325Dic73—42no—
326Dic73—42no—
327Dic73—42no—
328Dic73—42no—
329Dic73—42no—
330Dic73—42no—
331Dic73—42no—
332Dic73—42no—
333C2×#3242—731nomaximal, Sylow
334C2×C73—42no—
335C2×C73#324214yescomplemented
336C2×C73C2×#53611yescharacteristic
337C2×C73C2×#57711yescharacteristic
338C2×C73C2×#57811yescharacteristic
339C2×#544—731no—
340C2×#541—731no—
341#3242—7316no—
342C2×#501—731no—
343C2×#499—731no—
344C2×#491—731no—
345C2×#487—731no—
346C2×#484—731no—
347C2×#485—731no—
348C2×#485—731no—
349C2×#483—731no—
350C2×#479—731no—
351C2×#479—731no—
352C2×#477—731no—
353C2×#475—731no—
354C2×#433D7311yescharacteristic
355C73C2×#324211yescharacteristic, complemented, Sylow
356#544—738no—
357#544—1464no—
358#541—738no—
359#541—1464no—
360C2×C4⋊Q8—731no—
361C2×C4⋊Q8—731no—
362C2×C4⋊Q8—731no—
363C2×C4⋊Q8—1461no—
364C2×#126—1461no—
365C2×#126—1461no—
366C2×#125—731no—
367C2×#125—731no—
368C2×#125—731no—
369C2×#125—1461no—
370C2×#125—1461no—
371C2×#125—1461no—
372C2×C22⋊Q8—731no—
373C2×C22⋊Q8—731no—
374C2×C22⋊Q8—1461no—
375C2×C22⋊Q8—1461no—
376C2×C4×Q8—731no—
377C2×C4×Q8—731no—
378C2×#117—731no—
379C2×#117C2×D7311yescharacteristic
380C22×C4⋊C4—731no—
381#501—738no—
382#499—738no—
383#491—738no—
384#487—738no—
385#485—738no—
386#485—738no—
387#484—738no—
388#483—738no—
389#479—738no—
390#479—738no—
391#477—738no—
392#475—738no—
393#433C2×D7318yes—
394C2×#107—731no—
395C2×#107—731no—
396C2×#107—731no—
397C2×#107—731no—
398C2×#106—731no—
399C2×#106—731no—
400C2×#106—731no—
401C2×#106—731no—
402C2×C4⋊C8C2×D7311yescharacteristic
403C2×C4⋊C8C2×D7311yescharacteristic
404C2×#103—731no—
405C2×#103—731no—
406C2×#103—731no—
407C2×#103—731no—
408C2×#103—731no—
409C2×#103—731no—
410C2×#103—731no—
411C2×#103—731no—
412C2×C22⋊C8C2×D7311yescharacteristic
413C2×C22⋊C8C2×D7311yescharacteristic
414C2×#97C2×D7311yescharacteristic
415C2×C4×C8C2×D7311yescharacteristic
416C22×Q8—731no—
417C22×Q8—731no—
418C22×Q8—1461no—
419C22×Q8—1461no—
420C23×C4—1461no—
421C23×C4C22×D7311yescharacteristic
422C22×C8C22×D7311yescharacteristic
423C22×C8C22×D7311yescharacteristic
424C22×C8C22×D7311yescharacteristic
425C22×C8C22×D7311yescharacteristic
426C4⋊Q8—734no—
427C4⋊Q8—734no—
428C4⋊Q8—734no—
429C4⋊Q8—1468no—
430C4⋊Q8—1462no—
431C4⋊Q8—1462no—
432C4⋊Q8—1462no—
433#126—1468no—
434#126—1468no—
435#125—734no—
436#125—734no—
437#125—734no—
438#125—1468no—
439#125—1468no—
440#125—1468no—
441#125—1462no—
442#125—1462no—
443#125—1462no—
444C22⋊Q8—734no—
445C22⋊Q8—734no—
446C22⋊Q8—1462no—
447C22⋊Q8—1462no—
448C22⋊Q8—1468no—
449C22⋊Q8—1468no—
450C4×Q8—734no—
451C4×Q8—734no—
452C4×Q8—1462no—
453C4×Q8—1462no—
454#117—734no—
455#117—1462no—
456#117D29214yes—
457#117C22×D7314yes—
458C2×C4⋊C4—731no—
459C2×C4⋊C4—731no—
460C2×C4⋊C4—734no—
461C2×C4⋊C4—731no—
462C2×C4⋊C4—731no—
463C2×C4⋊C4—731no—
464C2×C4⋊C4—731no—
465C2×C4⋊C4—1461no—
466C2×C4⋊C4—1462no—
467C2×C4⋊C4—1461no—
468C2×C4⋊C4—1461no—
469C2×C4⋊C4—1461no—
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⋊C4D29211yescharacteristic
482C2×C4⋊C4D29211yescharacteristic
483C2×C22⋊C4—1461no—
484C2×C22⋊C4—1461no—
485C2×C22⋊C4—1461no—
486C2×C22⋊C4D29211yescharacteristic
487C2×C22⋊C4D29211yescharacteristic
488C2×C42—1461no—
489C2×C42—1461no—
490C2×C42—1461no—
491C2×C42C22×D7311yescharacteristic
492C2×C42C22×D7311yescharacteristic
493#107—734no—
494#107—734no—
495#107—734no—
496#107—734no—
497#106—734no—
498#106—734no—
499#106—734no—
500#106—734no—
501C4⋊C8C22×D7314yes—
502C4⋊C8C22×D7314yes—
503#103—734no—
504#103—734no—
505#103—734no—
506#103—734no—
507#103—734no—
508#103—734no—
509#103—734no—
510#103—734no—
511C22⋊C8C22×D7314yes—
512C22⋊C8C22×D7314yes—
513#97C22×D7314yes—
514C4×C8C22×D7314yes—
515C24C2×D29211yescharacteristic
516C2×Q8—5842no—
517C2×Q8—5842no—
518C2×Q8—732no—
519C2×Q8—732no—
520C2×Q8—1462no—
521C2×Q8—1462no—
522C2×Q8—1462no—
523C2×Q8—1462no—
524C2×Q8—1461no—
525C2×Q8—1461no—
526C2×Q8—1464no—
527C2×Q8—1464no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—5842no—
531C22×C4—1461no—
532C22×C4—1461no—
533C22×C4—1461no—
534C22×C4—1461no—
535C22×C4—1461no—
536C22×C4—1461no—
537C22×C4—1461no—
538C22×C4—1461no—
539C22×C4—1464no—
540C22×C4C2×D29212yes—
541C22×C4C2×D29211yescharacteristic
542C22×C4C2×D29211yescharacteristic
543C22×C4C2×D29211yescharacteristic
544C22×C4C2×D29211yescharacteristic
545C22×C4C2×D29211yescharacteristic
546C22×C4C23×D7312yes—
547C22×C4C23×D7311yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D7312yes—
553C2×C8C23×D7312yes—
554C2×C8C23×D7312yes—
555C2×C8C23×D7312yes—
556C4⋊C4—732no—
557C4⋊C4—732no—
558C4⋊C4—732no—
559C4⋊C4—732no—
560C4⋊C4—732no—
561C4⋊C4—732no—
562C4⋊C4—1464no—
563C4⋊C4—1464no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1464no—
567C4⋊C4—1464no—
568C4⋊C4—1464no—
569C4⋊C4—1464no—
570C4⋊C4—1464no—
571C4⋊C4—1464no—
572C4⋊C4—1464no—
573C4⋊C4—1461no—
574C4⋊C4—1461no—
575C4⋊C4—1461no—
576C4⋊C4—1461no—
577C4⋊C4—1461no—
578C4⋊C4—1461no—
579C4⋊C4—1464no—
580C4⋊C4—1464no—
581C4⋊C4—1464no—
582C4⋊C4—1464no—
583C4⋊C4C2×D29214yes—
584C4⋊C4C2×D29214yes—
585C22⋊C4—1464no—
586C22⋊C4—1464no—
587C22⋊C4—1464no—
588C22⋊C4C2×D29214yes—
589C22⋊C4C2×D29214yes—
590C42—1464no—
591C42—1464no—
592C42—1464no—
593C42C2×D29212yes—
594C42C2×D29212yes—
595C42C23×D7312yes—
596C42C23×D7312yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D29212yes—
601C23C22×D29211yescharacteristic
602Q8—2922no—
603Q8—2922no—
604Q8—5844no—
605Q8—5844no—
606Q8—1462no—
607Q8—1462no—
608Q8—1462no—
609Q8—1462no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—2922no—
619C2×C4—2922no—
620C2×C4—2922no—
621C2×C4—2922no—
622C2×C4—2922no—
623C2×C4—2922no—
624C2×C4—2922no—
625C2×C4—2922no—
626C2×C4—5844no—
627C2×C4—1462no—
628C2×C4—1462no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4—1462no—
632C2×C4—1462no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4C22×D29212yes—
636C2×C4C22×D29212yes—
637C2×C4C22×D29212yes—
638C2×C4C22×D29212yes—
639C2×C4C22×D29212yes—
640C2×C4C22×D29211yescharacteristic
641C2×C4#1455663812yes—
642C2×C4#1455663812yes—
643C2×C4C24×D7311yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1798916312yes—
653C22#1798939912yes—
654C22#1798940412yes—
655C22C23×D29211yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—2922no—
662C4—2922no—
663C4—2922no—
664C4—2922no—
665C4—2922no—
666C4—2922no—
667C4—2922no—
668C4—2922no—
669C4#1798916312yes—
670C4C2×#1455663811yescharacteristic
671C4C2×#1455663811yescharacteristic
672C2—42no—
673C2#2262120114yesdirect product factor
674C2C2×#1798916311yescharacteristic
675C2C2×#1798939911yescharacteristic
676C2C2×#1798940411yescharacteristic
subgroupG/H
centerC23C22×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#433×C73C2
socleC23×C73C22×D4
prime radicalC24×C73C2×D4
hypercenterC2×#433D73
hypocenterC73C2×#3242
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #22621201C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988989C2semidirect
6. C2×#17988956C2semidirect
7. C2×#17988938C2semidirect
12. C2×#17988895C2semidirect
13. C2×#17988895C2semidirect
14. C2×#17988883C2semidirect
15. C2×#17988873C2semidirect
41. #17988996C22semidirect
42. #17988989C22semidirect
43. #17988956C22semidirect
44. #17988938C22semidirect
49. #17988895C22semidirect
50. #17988895C22semidirect
51. #17988883C22semidirect
52. #17988873C22semidirect
335. C2×C73#3242semidirect
355. C73C2×#3242semidirect
673. C2#22621201direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892152
C2×#179891992
#226212012
C2×#179889962
C2×#179889892
C2×#179889562
C2×#179889382
C2×#179889232
C2×#179889292
C2×#179889182
C2×#179888952
C2×#179888832
C2×#179888732
C2×#433×C732
C2×#324273