Finite Group Databasebeta

← C2×#22622777 #33965785

Subgroups — C2×#22622777 #33965785

Order 18688.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989313C211yesmaximal, characteristic, complemented
2C2×#17989306C211yesmaximal, characteristic
3#22622777C2116yesmaximal, direct product factor
4C2×#17988954C211yesmaximal, characteristic, complemented
5C2×#17988945C211yesmaximal, characteristic
6C2×#17988941C211yesmaximal, characteristic
7C2×#17988895C211yesmaximal, characteristic, complemented
8C2×#17988880C211yesmaximal, characteristic, complemented
9C2×#17988889C211yesmaximal, characteristic
10C2×#17988807C211yesmaximal, characteristic
11C2×#17988795C211yesmaximal, characteristic, complemented
12C2×#17988714C211yesmaximal, characteristic, complemented
13C2×#17988694C211yesmaximal, characteristic, complemented
14C2×#17988688C211yesmaximal, characteristic
15C2×C4×#11924018C211yesmaximal, characteristic, complemented
16C2×#464×C73C211yesmaximal, characteristic
17C22×#11924018C2211yescharacteristic
18#17989313—24no—
19#17989313C2218yescomplemented
20#17989306—24no—
21#17989306C2218yes—
22C2×#14556590—21no—
23C2×#14556590C2211yescharacteristic
24C2×#14556589C2211yescharacteristic
25C2×#14556584—21no—
26C2×#14556584—21no—
27C2×#14556583—21no—
28C2×#14556583C2211yescharacteristic
29C2×#14556582—21no—
30C2×#14556582C2211yescharacteristic
31C2×#14556578C2211yescharacteristic
32C2×#14556568—21no—
33C2×Q8×Dic73C2211yescharacteristic
34C2×Q8×Dic73C2211yescharacteristic
35C2×Q8×Dic73C2211yescharacteristic
36C2×C4×Dic146—21no—
37C2×C4×Dic146C2211yescharacteristic
38C2×C4×Dic146C2211yescharacteristic
39C2×D4×Dic73C2211yescharacteristic
40C2×#14556547—21no—
41#17988954C2218yescomplemented
42#17988945C2218yes—
43#17988941C2218yes—
44#17988895C2218yescomplemented
45#17988889C2218yes—
46#17988880C2218yescomplemented
47#17988807C2218yes—
48#17988795C2218yescomplemented
49#17988714C2218yescomplemented
50#17988694C2218yescomplemented
51#17988688C2218yes—
52C4×#11924018C2218yescomplemented
53C2×#14556525C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556520C2211yescharacteristic
57C2×#14556520C2211yescharacteristic
58C2×#14556516C2211yescharacteristic
59C2×#14556516C2211yescharacteristic
60C2×#14556515C2211yescharacteristic
61C2×#14556515C2211yescharacteristic
62C2×#14556515C2211yescharacteristic
63C2×#14556514C2211yescharacteristic
64C2×#14556512C2211yescharacteristic
65C2×#14556512C2211yescharacteristic
66C2×#14556501C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C4×#10596831C2211yescharacteristic
69C22×Q16×C73C2211yescharacteristic
70C22×SD16×C73C2211yescharacteristic
71C2×#124×C73C2211yescharacteristic
72C2×C4×Q8×C73C2211yescharacteristic
73#464×C73C2218yes—
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#102×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146D411yescharacteristic
79C22×Dic146C2311yescharacteristic
80C23×Dic73—21no—
81C2×#11924018—24no—
82C2×#11924018C2314yes—
83C22×#10596831C2311yescharacteristic
84C22×#10596831C2311yescharacteristic
85#14556590—28no—
86#14556590—22no—
87#14556590C2314yes—
88#14556589—22no—
89#14556589C2314yes—
90#14556584—28no—
91#14556584—28no—
92#14556583—28no—
93#14556583—22no—
94#14556583C2314yes—
95#14556582—28no—
96#14556582—22no—
97#14556582C2314yes—
98#14556578—22no—
99#14556578C2314yes—
100#14556568—28no—
101Q8×Dic73—22no—
102Q8×Dic73—22no—
103Q8×Dic73—22no—
104Q8×Dic73C2314yes—
105Q8×Dic73C2314yes—
106Q8×Dic73C2314yes—
107C4×Dic146—28no—
108C4×Dic146—22no—
109C4×Dic146D414yes—
110C4×Dic146C2314yes—
111C4×Dic146C2314yes—
112D4×Dic73—22no—
113D4×Dic73C2314yes—
114#14556547—28no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73—21no—
119C2×C4⋊Dic73D411yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007D411yescharacteristic
131C2×#11924007D411yescharacteristic
132C2×C22⋊Dic73—21no—
133C2×C22⋊Dic73—21no—
134C2×C22⋊Dic73—21no—
135C2×C4×Dic73—21no—
136C2×C4×Dic73—21no—
137C2×C4×Dic73—21no—
138C2×C4×Dic73—21no—
139C2×C4×Dic73C2311yescharacteristic
140C2×C4×Dic73C2311yescharacteristic
141#14556525C2314yes—
142#14556524C2314yes—
143#14556523C2314yes—
144#14556520C2314yes—
145#14556520C2314yes—
146#14556516C2314yes—
147#14556516C2314yes—
148#14556515C2314yes—
149#14556515C2314yes—
150#14556515C2314yes—
151#14556514C2314yes—
152#14556512C2314yes—
153#14556512C2314yes—
154#14556501C2314yes—
155#14556501C2314yes—
156C4×#10596831C2314yes—
157C22×Q8×C73C2311yescharacteristic
158C22×Q8×C73C2311yescharacteristic
159C22×D4×C73C2311yescharacteristic
160C2×Q16×C73—24no—
161C2×Q16×C73C2314yes—
162C2×SD16×C73—24no—
163C2×SD16×C73C2314yes—
164C22×C8×C73C2311yescharacteristic
165C22×C8×C73C2311yescharacteristic
166#124×C73—22no—
167#124×C73C2314yes—
168C4×Q8×C73—22no—
169C4×Q8×C73C2314yes—
170C2×C4⋊C4×C73—21no—
171C2×C4⋊C4×C73C2311yescharacteristic
172C2×C22⋊C4×C73—21no—
173C2×C22⋊C4×C73—21no—
174C2×C42×C73—21no—
175C2×C42×C73C2311yescharacteristic
176C4⋊C8×C73C2314yes—
177#103×C73C2314yes—
178#102×C73C2314yes—
179C2×Dic146—22no—
180C2×Dic146—22no—
181C2×Dic146—21no—
182C2×Dic146—24no—
183C2×Dic146—42no—
184C2×Dic146—44no—
185C2×Dic146C2×D414yes—
186C2×Dic146C2412yes—
187C22×Dic73—21no—
188C22×Dic73—21no—
189C22×Dic73—21no—
190C22×Dic73—21no—
191C22×Dic73—24no—
192C22×Dic73—44no—
193C22×Dic73C2×D411yescharacteristic
194C22×Dic73C2×D411yescharacteristic
195C22×Dic73C2×D411yescharacteristic
196C22×Dic73C2×D411yescharacteristic
197#11924018—28no—
198C2×#10596831—22no—
199C2×#10596831—22no—
200C2×#10596831C2412yes—
201C2×#10596831C2412yes—
202C4⋊Dic73—21no—
203C4⋊Dic73—21no—
204C4⋊Dic73—21no—
205C4⋊Dic73—24no—
206C4⋊Dic73—24no—
207C4⋊Dic73—24no—
208C4⋊Dic73—24no—
209C4⋊Dic73C2×D414yes—
210C4⋊Dic73C2412yes—
211C4⋊Dic73C2412yes—
212C4⋊Dic73C2412yes—
213#11924007—24no—
214#11924007—24no—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219#11924007—24no—
220#11924007C2×D414yes—
221#11924007C2×D414yes—
222C22⋊Dic73—24no—
223C22⋊Dic73—24no—
224C22⋊Dic73—24no—
225C4×Dic73—24no—
226C4×Dic73—24no—
227C4×Dic73—24no—
228C4×Dic73—24no—
229C4×Dic73C2×D412yes—
230C4×Dic73C2×D412yes—
231C4×Dic73C2412yes—
232C4×Dic73C2412yes—
233C24×C73—21no—
234C2×Q8×C73—21no—
235C2×Q8×C73—21no—
236C2×Q8×C73—22no—
237C2×Q8×C73—22no—
238C2×Q8×C73—22no—
239C2×Q8×C73#4114yes—
240C2×Q8×C73C2412yes—
241C2×Q8×C73C2412yes—
242C2×D4×C73—21no—
243C2×D4×C73—22no—
244C2×D4×C73—22no—
245C2×D4×C73C2412yes—
246C22×C4×C73—21no—
247C22×C4×C73—21no—
248C22×C4×C73—21no—
249C22×C4×C73C2×D411yescharacteristic
250C22×C4×C73C2×D411yescharacteristic
251C22×C4×C73C2411yescharacteristic
252Q16×C73—28no—
253SD16×C73—28no—
254C2×C8×C73—22no—
255C2×C8×C73—22no—
256C2×C8×C73C2412yes—
257C2×C8×C73C2412yes—
258C4⋊C4×C73—24no—
259C4⋊C4×C73—21no—
260C4⋊C4×C73C2412yes—
261C22⋊C4×C73—24no—
262C22⋊C4×C73—24no—
263C42×C73—24no—
264C42×C73C2×D412yes—
265C42×C73C2412yes—
266C23×C73—22no—
267C23×C73—42no—
268C23×C73—42no—
269C23×C73—42no—
270C23×C73C22×D411yescharacteristic
271Q8×C73—24no—
272Q8×C73—22no—
273Q8×C73—22no—
274Q8×C73—22no—
275Q8×C73—42no—
276Q8×C73C2×#4114yes—
277D4×C73—22no—
278D4×C73—22no—
279D4×C73—42no—
280C2×C4×C73—24no—
281C2×C4×C73—22no—
282C2×C4×C73—22no—
283C2×C4×C73—22no—
284C2×C4×C73—22no—
285C2×C4×C73—22no—
286C2×C4×C73—42no—
287C2×C4×C73—42no—
288C2×C4×C73C22×D412yes—
289C2×C4×C73C22×D412yes—
290C2×C4×C73C22×D411yescharacteristic
291C2×C4×C73C2×#4112yes—
292C2×C4×C732−1+412yes—
293C2×C4×C73C2511yescharacteristic
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—22no—
300C2×Dic73—22no—
301C2×Dic73—22no—
302C2×Dic73—48no—
303C2×Dic73—42no—
304C2×Dic73—42no—
305C2×Dic73—42no—
306C2×Dic73—42no—
307C2×Dic73C22×D412yes—
308C2×Dic73C22×D412yes—
309C2×Dic73C22×D412yes—
310C2×Dic73C22×D412yes—
311Dic146—22no—
312Dic146—22no—
313Dic146—44no—
314Dic146—48no—
315Dic146—42no—
316C8×C73—22no—
317C8×C73—22no—
318#10596831—22no—
319#10596831—22no—
320C22×C73—42no—
321C22×C73—42no—
322C22×C73—42no—
323C22×C73—84no—
324C22×C73#54812yes—
325C22×C73#57512yes—
326C22×C73#57812yes—
327C22×C73C23×D411yescharacteristic
328C4×C73—24no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73#54812yes—
334C4×C73C22×#4111yescharacteristic
335C4×C73C2×2−1+411yescharacteristic
336Dic73—22no—
337Dic73—22no—
338Dic73—22no—
339Dic73—22no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73—42no—
344C2×#3377—731nomaximal, Sylow
345C2×C73—82no—
346C2×C73#337714yescomplemented
347C2×C73C2×#54811yescharacteristic
348C2×C73C2×#57511yescharacteristic
349C2×C73C2×#57811yescharacteristic
350C2×#557—731no—
351C2×#556—731no—
352#3377—7316no—
353C2×#491—731no—
354C2×#489—731no—
355C2×#488—731no—
356C2×#479—731no—
357C2×#477—731no—
358C2×#478—731no—
359C2×#464—731no—
360C2×#464D7311yescharacteristic
361C2×#462—731no—
362C2×#446—731no—
363C2×#441—731no—
364C2×#440—731no—
365C2×C4×Q16—731no—
366C73C2×#337711yescharacteristic, complemented, Sylow
367C22×Q16—731no—
368C22×Q16C2×D7311yescharacteristic
369C22×SD16C2×D7311yescharacteristic
370#557—738no—
371#557—1464no—
372#556—738no—
373#556—1464no—
374C2×C4⋊Q8—731no—
375C2×C4⋊Q8—731no—
376C2×C4⋊Q8—1461no—
377C2×#126—1461no—
378C2×#126—1461no—
379C2×#125—731no—
380C2×#125—731no—
381C2×#125—1461no—
382C2×#125—1461no—
383C2×#124—731no—
384C2×#124C2×D7311yescharacteristic
385C2×C22⋊Q8—1461no—
386C2×C4×Q8—731no—
387C2×C4×Q8—731no—
388C2×C4×Q8—731no—
389C2×C4×Q8—731no—
390C2×C4×Q8—731no—
391C2×C4×Q8—1461no—
392C2×C4×Q8C2×D7311yescharacteristic
393C2×C4×D4—731no—
394C2×#117—1461no—
395#491—738no—
396#489—738no—
397#488—738no—
398#479—738no—
399#478—738no—
400#477—738no—
401#464—738no—
402#464C2×D7318yes—
403#462—738no—
404#446—738no—
405#441—738no—
406#440—738no—
407C4×Q16—738no—
408C2×#107—731no—
409C2×#107—731no—
410C2×#106—731no—
411C2×C4⋊C8—731no—
412C2×C4⋊C8—731no—
413C2×C4⋊C8C2×D7311yescharacteristic
414C2×#103—731no—
415C2×#103—731no—
416C2×#103—731no—
417C2×#103—731no—
418C2×#103—731no—
419C2×#103—731no—
420C2×#103C2×D7311yescharacteristic
421C2×#102—731no—
422C2×#102—731no—
423C2×#102C2×D7311yescharacteristic
424C2×#97—731no—
425C2×#97—731no—
426C2×C4×C8—731no—
427C22×Q8—731no—
428C22×Q8—731no—
429C22×Q8—1461no—
430C22×Q8C22×D7311yescharacteristic
431C22×Q8C22×D7311yescharacteristic
432C22×D4C22×D7311yescharacteristic
433C23×C4—1461no—
434C2×Q16—24no—
435C2×Q16—734no—
436C2×Q16—1464no—
437C2×Q16C22×D7314yes—
438C2×SD16—24no—
439C2×SD16C22×D7314yes—
440C22×C8—731no—
441C22×C8—731no—
442C22×C8C22×D7311yescharacteristic
443C22×C8C22×D7311yescharacteristic
444C4⋊Q8—734no—
445C4⋊Q8—734no—
446C4⋊Q8—1462no—
447C4⋊Q8—1462no—
448C4⋊Q8—1468no—
449#126—1468no—
450#126—1468no—
451#125—734no—
452#125—734no—
453#125—1468no—
454#125—1462no—
455#125—1468no—
456#125—1462no—
457#124—22no—
458#124—734no—
459#124—1462no—
460#124C22×D7314yes—
461C22⋊Q8—1468no—
462C4×Q8—22no—
463C4×Q8—734no—
464C4×Q8—734no—
465C4×Q8—734no—
466C4×Q8—734no—
467C4×Q8—734no—
468C4×Q8—734no—
469C4×Q8—1468no—
470C4×Q8—1462no—
471C4×Q8—1462no—
472C4×Q8—1462no—
473C4×Q8—1462no—
474C4×Q8C22×D7314yes—
475C4×D4—734no—
476C4×D4—1462no—
477#117—1468no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—731no—
480C2×C4⋊C4—731no—
481C2×C4⋊C4—731no—
482C2×C4⋊C4—731no—
483C2×C4⋊C4—731no—
484C2×C4⋊C4—731no—
485C2×C4⋊C4—1461no—
486C2×C4⋊C4—1461no—
487C2×C4⋊C4—1461no—
488C2×C4⋊C4—1461no—
489C2×C4⋊C4—1461no—
490C2×C4⋊C4—1461no—
491C2×C4⋊C4—1461no—
492C2×C4⋊C4—1461no—
493C2×C4⋊C4—1461no—
494C2×C4⋊C4—1461no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4C22×D7311yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—1461no—
500C2×C22⋊C4—1461no—
501C2×C22⋊C4—1461no—
502C2×C42—21no—
503C2×C42—731no—
504C2×C42—731no—
505C2×C42—1461no—
506C2×C42—1461no—
507C2×C42—1461no—
508C2×C42—1461no—
509C2×C42C22×D7311yescharacteristic
510#107—734no—
511#107—734no—
512#106—734no—
513C4⋊C8—734no—
514C4⋊C8—734no—
515C4⋊C8C22×D7314yes—
516#103—734no—
517#103—734no—
518#103—734no—
519#103—734no—
520#103—734no—
521#103—734no—
522#103C22×D7314yes—
523#102—734no—
524#102—734no—
525#102C22×D7314yes—
526#97—734no—
527#97—734no—
528C4×C8—734no—
529C24—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—2922no—
536C2×Q8—2924no—
537C2×Q8—734no—
538C2×Q8—732no—
539C2×Q8—1464no—
540C2×Q8—1462no—
541C2×Q8—1462no—
542C2×Q8—1461no—
543C2×Q8#1192402714yes—
544C2×Q8C23×D7312yes—
545C2×Q8C23×D7312yes—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4C23×D7312yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—2924no—
554C22×C4—731no—
555C22×C4—731no—
556C22×C4—731no—
557C22×C4—731no—
558C22×C4—1464no—
559C22×C4—1461no—
560C22×C4—1461no—
561C22×C4—1461no—
562C22×C4—1461no—
563C22×C4D4×D7311yescharacteristic
564C22×C4D4×D7311yescharacteristic
565C22×C4C23×D7311yescharacteristic
566Q16—28no—
567Q16—1468no—
568SD16—28no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—732no—
572C2×C8—732no—
573C2×C8—1462no—
574C2×C8—1462no—
575C2×C8C23×D7312yes—
576C2×C8C23×D7312yes—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—734no—
580C4⋊C4—734no—
581C4⋊C4—734no—
582C4⋊C4—732no—
583C4⋊C4—732no—
584C4⋊C4—732no—
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—1464no—
595C4⋊C4—1464no—
596C4⋊C4—1461no—
597C4⋊C4—1461no—
598C4⋊C4—1461no—
599C4⋊C4C23×D7312yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—1464no—
603C22⋊C4—1464no—
604C22⋊C4—1464no—
605C42—24no—
606C42—732no—
607C42—732no—
608C42—732no—
609C42—732no—
610C42—1464no—
611C42—1464no—
612C42—1464no—
613C42—1464no—
614C42D4×D7312yes—
615C42C23×D7312yes—
616C23—22no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C2×D4×D7311yescharacteristic
621Q8—22no—
622Q8—24no—
623Q8—22no—
624Q8—22no—
625Q8—42no—
626Q8—2924no—
627Q8—2928no—
628Q8—2922no—
629Q8—1462no—
630Q8—1462no—
631Q8C2×#1192402714yes—
632D4—22no—
633D4—22no—
634D4—42no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—2922no—
644C2×C4—2922no—
645C2×C4—2922no—
646C2×C4—2922no—
647C2×C4—2928no—
648C2×C4—732no—
649C2×C4—732no—
650C2×C4—732no—
651C2×C4—732no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4—1462no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4—1462no—
660C2×C4C2×D4×D7312yes—
661C2×C4C2×D4×D7312yes—
662C2×C4C2×D4×D7311yescharacteristic
663C2×C4C2×#1192402712yes—
664C2×C4#1455663812yes—
665C2×C4C24×D7311yescharacteristic
666C8—22no—
667C8—22no—
668C8—1462no—
669C8—1462no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#1798924312yes—
675C22#1798938412yes—
676C22#1798940312yes—
677C22C22×D4×D7311yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—2922no—
684C4—2922no—
685C4—2922no—
686C4—2922no—
687C4—1462no—
688C4—1462no—
689C4—1462no—
690C4—1462no—
691C4#1798924312yes—
692C4C22×#1192402711yescharacteristic
693C4C2×#1455663811yescharacteristic
694C2—82no—
695C2#2262277714yesdirect product factor
696C2C2×#1798924311yescharacteristic
697C2C2×#1798938411yescharacteristic
698C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#464×C73C2
socleC23×C73C22×D4
prime radicalC22×D4×C73C23
hypercenterC2×#464D73
hypocenterC73C2×#3377
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
1. C2×#17989313C2semidirect
3. #22622777C2direct (N × H)
4. C2×#17988954C2semidirect
7. C2×#17988895C2semidirect
8. C2×#17988880C2semidirect
11. C2×#17988795C2semidirect
12. C2×#17988714C2semidirect
13. C2×#17988694C2semidirect
15. C2×C4×#11924018C2semidirect
19. #17989313C22semidirect
41. #17988954C22semidirect
44. #17988895C22semidirect
46. #17988880C22semidirect
48. #17988795C22semidirect
49. #17988714C22semidirect
50. #17988694C22semidirect
52. C4×#11924018C22semidirect
346. C2×C73#3377semidirect
366. C73C2×#3377semidirect
695. C2#22622777direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179893132
C2×#179893062
#226227772
C2×#179889542
C2×#179889452
C2×#179889412
C2×#179888952
C2×#179888802
C2×#179888892
C2×#179888072
C2×#179887952
C2×#179887142
C2×#179886942
C2×#179886882
C2×C4×#119240182
C2×#464×C732
C2×#337773