Finite Group Databasebeta

← C2×#22621383 #33958939

Subgroups — C2×#22621383 #33958939

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989198C211yesmaximal, characteristic
2C2×#17989195C211yesmaximal, characteristic
3#22621383C2116yesmaximal, direct product factor
4C2×#17988896C211yesmaximal, characteristic, complemented
5C2×#17988895C211yesmaximal, characteristic, complemented
6C2×#17988894C211yesmaximal, characteristic, complemented
7C2×#17988892C211yesmaximal, characteristic, complemented
8C2×#17988844C211yesmaximal, characteristic
9C2×#17988842C211yesmaximal, characteristic
10C2×#17988827C211yesmaximal, characteristic
11C2×#17988825C211yesmaximal, characteristic
12C2×#17988795C211yesmaximal, characteristic, complemented
13C2×#17988795C211yesmaximal, characteristic, complemented
14C2×#17988794C211yesmaximal, characteristic, complemented
15C2×#17988612C211yesmaximal, characteristic
16C2×#462×C73C211yesmaximal, characteristic, complemented
17C22×#11924018C2211yescharacteristic
18C22×#11924018C2211yescharacteristic
19C22×#11924011C2211yescharacteristic
20C22×C8×D73C2211yescharacteristic
21#17989198—24no—
22#17989198C2218yes—
23#17989195—24no—
24#17989195C2218yes—
25C2×#14556589C2211yescharacteristic
26C2×#14556586—21no—
27C2×#14556586—21no—
28C2×#14556586—21no—
29C2×#14556585—21no—
30C2×#14556583—21no—
31C2×#14556583C2211yescharacteristic
32C2×#14556582C2211yescharacteristic
33C2×#14556581—21no—
34C2×#14556581—21no—
35C2×#14556581—21no—
36C2×#14556571C2211yescharacteristic
37C2×#14556567C2211yescharacteristic
38C2×#14556567C2211yescharacteristic
39C2×#14556567C2211yescharacteristic
40C2×Q8×Dic73C2211yescharacteristic
41C2×Q8×Dic73C2211yescharacteristic
42C2×C4×Dic146C2211yescharacteristic
43C2×#14556548C2211yescharacteristic
44#17988896C2218yescomplemented
45#17988895C2218yescomplemented
46#17988894C2218yescomplemented
47#17988892C2218yescomplemented
48#17988844C2218yes—
49#17988842C2218yes—
50#17988827C2218yes—
51#17988825C2218yes—
52#17988795C2218yescomplemented
53#17988795C2218yescomplemented
54#17988794C2218yescomplemented
55C2×#14556525C2211yescharacteristic
56C2×#14556524C2211yescharacteristic
57C2×#14556523C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59#17988612C2218yes—
60C2×C4⋊#10596831C2211yescharacteristic
61C2×#14556520C2211yescharacteristic
62C2×#14556520C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556516C2211yescharacteristic
65C2×#14556515C2211yescharacteristic
66C2×#14556515C2211yescharacteristic
67C2×#14556515C2211yescharacteristic
68C2×#14556515C2211yescharacteristic
69C22×Q16×C73C2211yescharacteristic
70C22×Q16×C73C2211yescharacteristic
71C2×C4⋊Q8×C73C2211yescharacteristic
72C2×C4×Q8×C73C2211yescharacteristic
73#462×C73C2218yescomplemented
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146C2311yescharacteristic
78C22×C4×D73C2311yescharacteristic
79C2×#11924018—42no—
80C2×#11924018—42no—
81C2×#11924018C2314yes—
82C2×#11924018C2314yes—
83C2×#11924011—42no—
84C2×#11924011C2314yes—
85C22×#10596831C2311yescharacteristic
86C22×#10596831C2311yescharacteristic
87C2×C8×D73—42no—
88C2×C8×D73C2314yes—
89#14556589—22no—
90#14556589C2314yes—
91#14556586—28no—
92#14556586—28no—
93#14556586—28no—
94#14556585—28no—
95#14556583—28no—
96#14556583—22no—
97#14556583C2314yes—
98#14556582—22no—
99#14556582C2314yes—
100#14556581—28no—
101#14556581—28no—
102#14556581—28no—
103#14556571—22no—
104#14556571C2314yes—
105#14556567—22no—
106#14556567—22no—
107#14556567—22no—
108#14556567C2314yes—
109#14556567C2314yes—
110#14556567C2314yes—
111Q8×Dic73—22no—
112Q8×Dic73—22no—
113Q8×Dic73C2314yes—
114Q8×Dic73C2314yes—
115C4×Dic146—22no—
116C4×Dic146C2314yes—
117#14556548D414yes—
118#14556548C2314yes—
119C2×C4⋊Dic73—21no—
120C2×C4⋊Dic73—21no—
121C2×C4⋊Dic73—21no—
122C2×C4⋊Dic73—21no—
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2311yescharacteristic
125C2×C4⋊Dic73C2311yescharacteristic
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×#11924007D411yescharacteristic
136C2×#11924007D411yescharacteristic
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×#11924005—21no—
140C2×#11924005—21no—
141C2×#11924005D411yescharacteristic
142C2×#11924005D411yescharacteristic
143C2×C4×Dic73—21no—
144C2×C4×Dic73—21no—
145C2×C4×Dic73—21no—
146C2×C4×Dic73C2311yescharacteristic
147#14556525C2314yes—
148#14556524C2314yes—
149#14556523C2314yes—
150#14556522C2314yes—
151C4⋊#10596831C2314yes—
152#14556520C2314yes—
153#14556520C2314yes—
154#14556516C2314yes—
155#14556516C2314yes—
156#14556515C2314yes—
157#14556515C2314yes—
158#14556515C2314yes—
159#14556515C2314yes—
160C22×Q8×C73C2311yescharacteristic
161C22×Q8×C73C2311yescharacteristic
162C22×Q8×C73C2311yescharacteristic
163C2×Q16×C73—42no—
164C2×Q16×C73—42no—
165C2×Q16×C73C2314yes—
166C2×Q16×C73C2314yes—
167C22×C8×C73C2311yescharacteristic
168C22×C8×C73C2311yescharacteristic
169C4⋊Q8×C73—22no—
170C4⋊Q8×C73C2314yes—
171C4×Q8×C73—22no—
172C4×Q8×C73C2314yes—
173C2×C4⋊C4×C73—21no—
174C2×C4⋊C4×C73—21no—
175C2×C4⋊C4×C73—21no—
176C2×C4⋊C4×C73C2311yescharacteristic
177C2×C42×C73—21no—
178C2×C42×C73C2311yescharacteristic
179C4⋊C8×C73C2314yes—
180#103×C73C2314yes—
181#103×C73C2314yes—
182C23×D73C2×D411yescharacteristic
183C2×Dic146—22no—
184C2×Dic146—22no—
185C2×Dic146—21no—
186C2×Dic146C2412yes—
187C22×Dic73—21no—
188C22×Dic73—21no—
189C22×Dic73—21no—
190C22×Dic73—21no—
191C22×Dic73C2×D411yescharacteristic
192C22×Dic73C2×D411yescharacteristic
193C22×Dic73C2×D411yescharacteristic
194C2×C4×D73—22no—
195C2×C4×D73—22no—
196C2×C4×D73C2×D412yes—
197C2×C4×D73C2412yes—
198#11924018—44no—
199#11924018—44no—
200#11924011—44no—
201C2×#10596831—22no—
202C2×#10596831—22no—
203C2×#10596831C2412yes—
204C2×#10596831C2412yes—
205C8×D73—44no—
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—
224#11924007—24no—
225#11924007C2×D414yes—
226#11924007C2×D414yes—
227#11924005—24no—
228#11924005—24no—
229#11924005—24no—
230#11924005—24no—
231#11924005C2×D414yes—
232#11924005C2×D414yes—
233C4×Dic73—24no—
234C4×Dic73—24no—
235C4×Dic73—24no—
236C4×Dic73C2×D412yes—
237C4×Dic73C2412yes—
238C2×Q8×C73—21no—
239C2×Q8×C73—21no—
240C2×Q8×C73—21no—
241C2×Q8×C73—22no—
242C2×Q8×C73—22no—
243C2×Q8×C73—22no—
244C2×Q8×C73—22no—
245C2×Q8×C73—22no—
246C2×Q8×C73—22no—
247C2×Q8×C73C2412yes—
248C2×Q8×C73C2412yes—
249C2×Q8×C73C2412yes—
250C22×C4×C73—21no—
251C22×C4×C73—21no—
252C22×C4×C73—21no—
253C22×C4×C73—21no—
254C22×C4×C73C2×D411yescharacteristic
255C22×C4×C73C2×D411yescharacteristic
256C22×C4×C73C2411yescharacteristic
257Q16×C73—44no—
258Q16×C73—44no—
259C2×C8×C73—22no—
260C2×C8×C73—22no—
261C2×C8×C73C2412yes—
262C2×C8×C73C2412yes—
263C4⋊C4×C73—24no—
264C4⋊C4×C73—24no—
265C4⋊C4×C73—24no—
266C4⋊C4×C73—21no—
267C4⋊C4×C73C2412yes—
268C42×C73—24no—
269C42×C73C2×D412yes—
270C42×C73C2412yes—
271C23×C73C22×D411yescharacteristic
272C22×D73—22no—
273C22×D73—22no—
274C22×D73—22no—
275C22×D73C22×D412yes—
276Q8×C73—22no—
277Q8×C73—22no—
278Q8×C73—22no—
279Q8×C73—22no—
280Q8×C73—22no—
281Q8×C73—22no—
282Q8×C73—42no—
283Q8×C73—42no—
284Q8×C73—42no—
285C2×C4×C73—22no—
286C2×C4×C73—22no—
287C2×C4×C73—22no—
288C2×C4×C73—22no—
289C2×C4×C73—22no—
290C2×C4×C73—22no—
291C2×C4×C73—42no—
292C2×C4×C73—42no—
293C2×C4×C73—42no—
294C2×C4×C73—42no—
295C2×C4×C73C22×D412yes—
296C2×C4×C73C22×D412yes—
297C2×C4×C73C22×D411yescharacteristic
298C2×C4×C73H(5,𝔽2)12yes—
299C2×C4×C732−1+412yes—
300C2×C4×C73C2511yescharacteristic
301C2×Dic73—22no—
302C2×Dic73—22no—
303C2×Dic73—22no—
304C2×Dic73—22no—
305C2×Dic73—22no—
306C2×Dic73—22no—
307C2×Dic73—22no—
308C2×Dic73—42no—
309C2×Dic73—42no—
310C2×Dic73—42no—
311C2×Dic73—42no—
312C2×Dic73C22×D412yes—
313C2×Dic73C22×D412yes—
314C2×Dic73C22×D412yes—
315C4×D73—24no—
316C4×D73—22no—
317C4×D73—22no—
318Dic146—22no—
319Dic146—22no—
320Dic146—42no—
321C8×C73—22no—
322C8×C73—22no—
323#10596831—22no—
324#10596831—22no—
325C22×C73#53712yes—
326C22×C73#57812yes—
327C22×C73#57812yes—
328C22×C73C23×D411yescharacteristic
329C2×D73—22no—
330C2×D73—22no—
331C2×D73—22no—
332C2×D73—44no—
333C4×C73—22no—
334C4×C73—22no—
335C4×C73—42no—
336C4×C73—42no—
337C4×C73—42no—
338C4×C73—42no—
339C4×C73#53712yes—
340C4×C73C2×H(5,𝔽2)11yescharacteristic
341C4×C73C2×2−1+411yescharacteristic
342Dic73—22no—
343Dic73—22no—
344Dic73—22no—
345Dic73—42no—
346Dic73—42no—
347Dic73—42no—
348Dic73—42no—
349C2×#3261—731nomaximal, Sylow
350C2×C73#326114yescomplemented
351C2×C73C2×#53711yescharacteristic
352C2×C73C2×#57811yescharacteristic
353C2×C73C2×#57811yescharacteristic
354D73—42no—
355C2×#541—731no—
356C2×#541—731no—
357#3261—7316no—
358C2×#479—731no—
359C2×#479—731no—
360C2×#479—731no—
361C2×#479—731no—
362C2×#470—731no—
363C2×#470—731no—
364C2×#467—731no—
365C2×#467—731no—
366C2×#462—731no—
367C2×#462—731no—
368C2×#462—731no—
369C2×#462D7311yescharacteristic, complemented
370C2×#424—731no—
371C73C2×#326111yescharacteristic, complemented, Sylow
372C22×Q16—731no—
373C22×Q16—731no—
374C22×Q16C2×D7311yescharacteristic
375C22×Q16C2×D7311yescharacteristic
376C22×M16—731no—
377C23×C8—731no—
378#541—738no—
379#541—738no—
380#541—1464no—
381#541—1464no—
382C2×C4⋊Q8—731no—
383C2×C4⋊Q8C2×D7311yescharacteristic
384C2×#126—1461no—
385C2×#126—1461no—
386C2×#126—1461no—
387C2×#126—1461no—
388C2×#125—731no—
389C2×#125—731no—
390C2×#125—1461no—
391C2×#125—1461no—
392C2×#125—1461no—
393C2×#125—1461no—
394C2×C22⋊Q8—731no—
395C2×C22⋊Q8—731no—
396C2×C22⋊Q8—731no—
397C2×C22⋊Q8—731no—
398C2×C4×Q8—731no—
399C2×C4×Q8—731no—
400C2×C4×Q8—731no—
401C2×C4×Q8C2×D7311yescharacteristic
402C2×#117—731no—
403#479—738no—
404#479—738no—
405#479—738no—
406#479—738no—
407#470—738no—
408#470—738no—
409#467—738no—
410#467—738no—
411#462—738no—
412#462—738no—
413#462—738no—
414#462C2×D7318yescomplemented
415C2×#107—731no—
416C2×#107—731no—
417C2×#106—731no—
418C2×#106—731no—
419#424—738no—
420C2×C4⋊C8—731no—
421C2×C4⋊C8—731no—
422C2×C4⋊C8—731no—
423C2×C4⋊C8C2×D7311yescharacteristic
424C2×#103—731no—
425C2×#103—731no—
426C2×#103—731no—
427C2×#103—731no—
428C2×#103—731no—
429C2×#103—731no—
430C2×#103C2×D7311yescharacteristic
431C2×#103C2×D7311yescharacteristic
432C22×Q8—731no—
433C22×Q8C22×D7311yescharacteristic
434C22×Q8C22×D7311yescharacteristic
435C22×Q8C22×D7311yescharacteristic
436C23×C4—731no—
437C2×Q16—42no—
438C2×Q16—42no—
439C2×Q16—2922no—
440C2×Q16—2922no—
441C2×Q16—734no—
442C2×Q16—734no—
443C2×Q16C22×D7314yes—
444C2×Q16C22×D7314yes—
445C2×M16—2922no—
446C2×M16—734no—
447C22×C8—2922no—
448C22×C8—734no—
449C22×C8—731no—
450C22×C8—731no—
451C22×C8C22×D7311yescharacteristic
452C22×C8C22×D7311yescharacteristic
453C4⋊Q8—22no—
454C4⋊Q8—734no—
455C4⋊Q8—1462no—
456C4⋊Q8C22×D7314yes—
457#126—1468no—
458#126—1468no—
459#126—1468no—
460#126—1468no—
461#125—734no—
462#125—734no—
463#125—1468no—
464#125—1462no—
465#125—1468no—
466#125—1468no—
467#125—1468no—
468#125—1462no—
469C22⋊Q8—734no—
470C22⋊Q8—734no—
471C22⋊Q8—734no—
472C22⋊Q8—734no—
473C22⋊Q8—1462no—
474C22⋊Q8—1462no—
475C22⋊Q8—1462no—
476C22⋊Q8—1462no—
477C4×Q8—22no—
478C4×Q8—734no—
479C4×Q8—734no—
480C4×Q8—734no—
481C4×Q8—1462no—
482C4×Q8—1462no—
483C4×Q8—1462no—
484C4×Q8C22×D7314yes—
485#117—734no—
486#117—734no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—731no—
491C2×C4⋊C4—731no—
492C2×C4⋊C4—731no—
493C2×C4⋊C4—731no—
494C2×C4⋊C4—731no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4—1461no—
499C2×C4⋊C4—1461no—
500C2×C4⋊C4—1461no—
501C2×C4⋊C4—1461no—
502C2×C4⋊C4—1461no—
503C2×C4⋊C4—1461no—
504C2×C4⋊C4—1461no—
505C2×C4⋊C4—1461no—
506C2×C4⋊C4—1461no—
507C2×C4⋊C4—1461no—
508C2×C4⋊C4C22×D7311yescharacteristic
509C2×C22⋊C4—731no—
510C2×C22⋊C4—731no—
511C2×C22⋊C4—1461no—
512C2×C22⋊C4—1461no—
513C2×C22⋊C4—1461no—
514C2×C22⋊C4—1461no—
515C2×C42—21no—
516C2×C42—731no—
517C2×C42—1461no—
518C2×C42—1461no—
519C2×C42—1461no—
520C2×C42C22×D7311yescharacteristic
521#107—734no—
522#107—734no—
523#106—734no—
524#106—734no—
525C4⋊C8—734no—
526C4⋊C8—734no—
527C4⋊C8—734no—
528C4⋊C8C22×D7314yes—
529#103—734no—
530#103—734no—
531#103—734no—
532#103—734no—
533#103—734no—
534#103—734no—
535#103C22×D7314yes—
536#103C22×D7314yes—
537C24—731no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—732no—
548C2×Q8—1462no—
549C2×Q8—1462no—
550C2×Q8—1461no—
551C2×Q8C23×D7312yes—
552C2×Q8C23×D7312yes—
553C2×Q8C23×D7312yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—731no—
559C22×C4—731no—
560C22×C4—731no—
561C22×C4—732no—
562C22×C4—732no—
563C22×C4—1461no—
564C22×C4—1461no—
565C22×C4—1461no—
566C22×C4—1461no—
567C22×C4—1462no—
568C22×C4—1462no—
569C22×C4D4×D7311yescharacteristic
570C22×C4D4×D7311yescharacteristic
571C22×C4C23×D7311yescharacteristic
572Q16—44no—
573Q16—44no—
574Q16—2924no—
575Q16—2924no—
576M16—2924no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—2924no—
580C2×C8—732no—
581C2×C8—732no—
582C2×C8—1462no—
583C2×C8—1462no—
584C2×C8C23×D7312yes—
585C2×C8C23×D7312yes—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—734no—
591C4⋊C4—734no—
592C4⋊C4—732no—
593C4⋊C4—732no—
594C4⋊C4—732no—
595C4⋊C4—1464no—
596C4⋊C4—1464no—
597C4⋊C4—1464no—
598C4⋊C4—1464no—
599C4⋊C4—1464no—
600C4⋊C4—1464no—
601C4⋊C4—1464no—
602C4⋊C4—1464no—
603C4⋊C4—1464no—
604C4⋊C4—1464no—
605C4⋊C4—1464no—
606C4⋊C4—1464no—
607C4⋊C4—1464no—
608C4⋊C4—1461no—
609C4⋊C4—1461no—
610C4⋊C4—1461no—
611C4⋊C4C23×D7312yes—
612C22⋊C4—734no—
613C22⋊C4—734no—
614C22⋊C4—1464no—
615C22⋊C4—1464no—
616C22⋊C4—1464no—
617C22⋊C4—1464no—
618C42—24no—
619C42—732no—
620C42—732no—
621C42—1464no—
622C42—1464no—
623C42—1464no—
624C42D4×D7312yes—
625C42C23×D7312yes—
626C23—732no—
627C23—1462no—
628C23—1462no—
629C23—1462no—
630C23C2×D4×D7311yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—22no—
634Q8—22no—
635Q8—22no—
636Q8—22no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—2922no—
641Q8—1462no—
642Q8—1462no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—2922no—
654C2×C4—2922no—
655C2×C4—2922no—
656C2×C4—2922no—
657C2×C4—732no—
658C2×C4—732no—
659C2×C4—732no—
660C2×C4—1462no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1462no—
664C2×C4—1462no—
665C2×C4—1462no—
666C2×C4—1462no—
667C2×C4—1462no—
668C2×C4—1462no—
669C2×C4—1464no—
670C2×C4C2×D4×D7312yes—
671C2×C4C2×D4×D7312yes—
672C2×C4C2×D4×D7311yescharacteristic
673C2×C4#1455663612yes—
674C2×C4#1455663812yes—
675C2×C4C24×D7311yescharacteristic
676C8—22no—
677C8—22no—
678C8—1462no—
679C8—1462no—
680C22—2924no—
681C22—1462no—
682C22—1462no—
683C22—1462no—
684C22#1798916612yes—
685C22#1798940012yes—
686C22#1798940312yes—
687C22C22×D4×D7311yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—2922no—
695C4—2922no—
696C4—2922no—
697C4—2922no—
698C4—1462no—
699C4—1462no—
700C4—1462no—
701C4#1798916612yes—
702C4C2×#1455663611yescharacteristic
703C4C2×#1455663811yescharacteristic
704C2—2922no—
705C2#2262138314yesdirect product factor
706C2C2×#1798916611yescharacteristic
707C2C2×#1798940011yescharacteristic
708C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#462×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#462D73
hypocenterC73C2×#3261
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
3. #22621383C2direct (N × H)
4. C2×#17988896C2semidirect
5. C2×#17988895C2semidirect
6. C2×#17988894C2semidirect
7. C2×#17988892C2semidirect
12. C2×#17988795C2semidirect
13. C2×#17988795C2semidirect
14. C2×#17988794C2semidirect
16. C2×#462×C73C2semidirect
44. #17988896C22semidirect
45. #17988895C22semidirect
46. #17988894C22semidirect
47. #17988892C22semidirect
52. #17988795C22semidirect
53. #17988795C22semidirect
54. #17988794C22semidirect
73. #462×C73C22semidirect
350. C2×C73#3261semidirect
369. C2×#462D73semidirect
371. C73C2×#3261semidirect
414. #462C2×D73semidirect
705. C2#22621383direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179891982
C2×#179891952
#226213832
C2×#179888962
C2×#179888952
C2×#179888942
C2×#179888922
C2×#179888442
C2×#179888422
C2×#179888272
C2×#179888252
C2×#179887952
C2×#179887942
C2×#179886122
C2×#462×C732
C2×#326173