Finite Group Databasebeta

← C2×#22621107 #33958059

Subgroups — C2×#22621107 #33958059

Order 18688.

1810 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×#17989140C211yesmaximal, characteristic, complemented
2C2×#17989118C211yesmaximal, characteristic
3#22621107C2116yesmaximal, direct product factor
4C2×#17988988C211yesmaximal, characteristic, complemented
5C2×#17988987C211yesmaximal, characteristic, complemented
6C2×#17988940C211yesmaximal, characteristic, complemented
7C2×#17988940C211yesmaximal, characteristic, complemented
8C2×#17988929C211yesmaximal, characteristic, complemented
9C2×#17988928C211yesmaximal, characteristic, complemented
10C2×#17988908C211yesmaximal, characteristic
11C2×#17988881C211yesmaximal, characteristic, complemented
12C2×#17988871C211yesmaximal, characteristic, complemented
13C2×#17988875C211yesmaximal, characteristic, complemented
14C2×#17988865C211yesmaximal, characteristic, complemented
15C2×#17988637C211yesmaximal, characteristic, complemented
16C2×#482×C73C211yesmaximal, characteristic
17#17989140—24no—
18#17989140C2218yescomplemented
19C2×#14556590C2211yescharacteristic
20C2×#14556590C2211yescharacteristic
21#17989118—24no—
22#17989118C2218yes—
23C2×#14556584—21no—
24C2×#14556582C2211yescharacteristic
25C2×#14556582C2211yescharacteristic
26C2×#14556582C2211yescharacteristic
27C2×#14556578C2211yescharacteristic
28C2×#14556572—21no—
29C2×#14556570C2211yescharacteristic
30C2×#14556568—21no—
31C2×#14556568—21no—
32C2×C4×Dic146—21no—
33C2×C4×Dic146—21no—
34C2×#14556556C2211yescharacteristic
35C2×D4×Dic73—21no—
36C2×D4×Dic73C2211yescharacteristic
37C2×#14556550C2211yescharacteristic
38C2×#14556547—21no—
39C22×C4×Dic73C2211yescharacteristic
40#17988988C2218yescomplemented
41#17988987C2218yescomplemented
42#17988940C2218yescomplemented
43#17988940C2218yescomplemented
44#17988929C2218yescomplemented
45#17988928C2218yescomplemented
46#17988908C2218yes—
47#17988881C2218yescomplemented
48#17988875C2218yescomplemented
49#17988871C2218yescomplemented
50#17988865C2218yescomplemented
51#17988637C2218yescomplemented
52C2×#14556525C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556520C2211yescharacteristic
59C2×#14556520C2211yescharacteristic
60C2×#14556516C2211yescharacteristic
61C2×#14556516C2211yescharacteristic
62C2×#14556514C2211yescharacteristic
63C2×#14556514C2211yescharacteristic
64C2×#14556512C2211yescharacteristic
65C2×#14556512C2211yescharacteristic
66C2×C22⋊#10596831C2211yescharacteristic
67C2×C8×Dic73C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×#121×C73C2211yescharacteristic
70C2×#117×C73C2211yescharacteristic
71#482×C73C2218yes—
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×#102×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×C22⋊C8×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146C2311yescharacteristic
80C23×Dic73—21no—
81C23×Dic73D411yescharacteristic
82C23×Dic73D411yescharacteristic
83C22×#10596831C2311yescharacteristic
84C22×#10596831C2311yescharacteristic
85#14556590—22no—
86#14556590—22no—
87#14556590C2314yes—
88#14556590C2314yes—
89#14556584—28no—
90#14556582—22no—
91#14556582—22no—
92#14556582—22no—
93#14556582C2314yes—
94#14556582C2314yes—
95#14556582C2314yes—
96#14556578—22no—
97#14556578C2314yes—
98#14556572—28no—
99#14556570—22no—
100#14556570C2314yes—
101#14556568—28no—
102#14556568—28no—
103C4×Dic146—28no—
104C4×Dic146—28no—
105#14556556—22no—
106#14556556C2314yes—
107D4×Dic73—28no—
108D4×Dic73—22no—
109D4×Dic73C2314yes—
110#14556550—22no—
111#14556550C2314yes—
112#14556547—28no—
113C2×C4⋊Dic73—21no—
114C2×C4⋊Dic73—21no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73C2311yescharacteristic
117C2×C4⋊Dic73C2311yescharacteristic
118C2×C4⋊Dic73C2311yescharacteristic
119C2×#11924007—21no—
120C2×#11924007—21no—
121C2×#11924007—21no—
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×C22⋊Dic73—21no—
127C2×C22⋊Dic73—21no—
128C2×C22⋊Dic73—21no—
129C2×C22⋊Dic73—21no—
130C2×C22⋊Dic73—21no—
131C2×C4×Dic73—21no—
132C2×C4×Dic73—21no—
133C2×C4×Dic73D414yes—
134C2×C4×Dic73D411yescharacteristic
135C2×C4×Dic73D411yescharacteristic
136C2×C4×Dic73C2311yescharacteristic
137C2×C4×Dic73C2314yes—
138C2×C4×Dic73C2311yescharacteristic
139#14556525C2314yes—
140#14556524C2314yes—
141#14556524C2314yes—
142#14556523C2314yes—
143#14556522C2314yes—
144#14556522C2314yes—
145#14556520C2314yes—
146#14556520C2314yes—
147#14556516C2314yes—
148#14556516C2314yes—
149#14556514C2314yes—
150#14556514C2314yes—
151#14556512C2314yes—
152#14556512C2314yes—
153C22⋊#10596831C2314yes—
154C8×Dic73C2314yes—
155C8×Dic73C2314yes—
156C22×D4×C73—21no—
157C22×D4×C73C2311yescharacteristic
158C23×C4×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161#121×C73—22no—
162#121×C73C2314yes—
163#117×C73—22no—
164#117×C73C2314yes—
165C2×C4⋊C4×C73C2311yescharacteristic
166C2×C4⋊C4×C73C2311yescharacteristic
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C22⋊C4×C73—21no—
169C2×C22⋊C4×C73—21no—
170C2×C42×C73—21no—
171#107×C73C2314yes—
172#106×C73C2314yes—
173#102×C73C2314yes—
174#102×C73C2314yes—
175C22⋊C8×C73C2314yes—
176C2×Dic146—22no—
177C2×Dic146—22no—
178C2×Dic146—21no—
179C2×Dic146—24no—
180C2×Dic146—24no—
181C2×Dic146—44no—
182C2×Dic146—44no—
183C2×Dic146C2412yes—
184C22×Dic73—24no—
185C22×Dic73—21no—
186C22×Dic73—21no—
187C22×Dic73—21no—
188C22×Dic73—21no—
189C22×Dic73—24no—
190C22×Dic73—42no—
191C22×Dic73—44no—
192C22×Dic73C2×D411yescharacteristic
193C22×Dic73C2×D411yescharacteristic
194C22×Dic73C2×D411yescharacteristic
195C22×Dic73C2×D414yes—
196C22×Dic73C2×D414yes—
197C22×Dic73C2×D411yescharacteristic
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⋊Dic73C2412yes—
209C4⋊Dic73C2412yes—
210C4⋊Dic73C2412yes—
211#11924007—24no—
212#11924007—24no—
213#11924007—24no—
214#11924007—24no—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218C22⋊Dic73—24no—
219C22⋊Dic73—24no—
220C22⋊Dic73—24no—
221C22⋊Dic73—24no—
222C22⋊Dic73—24no—
223C4×Dic73—24no—
224C4×Dic73—24no—
225C4×Dic73C2×D414yes—
226C4×Dic73C2×D412yes—
227C4×Dic73C2×D414yes—
228C4×Dic73C2×D412yes—
229C4×Dic73C2412yes—
230C4×Dic73C2412yes—
231C24×C73—21no—
232C24×C73C2×D411yescharacteristic
233C2×D4×C73—24no—
234C2×D4×C73—21no—
235C2×D4×C73—22no—
236C2×D4×C73—22no—
237C2×D4×C73—44no—
238C2×D4×C73C2412yes—
239C22×C4×C73—22no—
240C22×C4×C73—22no—
241C22×C4×C73—21no—
242C22×C4×C73—21no—
243C22×C4×C73—21no—
244C22×C4×C73C2×D411yescharacteristic
245C22×C4×C73C2×D412yes—
246C22×C4×C73C2412yes—
247C22×C4×C73C2411yescharacteristic
248C2×C8×C73—22no—
249C2×C8×C73—22no—
250C2×C8×C73C2412yes—
251C2×C8×C73C2412yes—
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—
259C22⋊C4×C73—24no—
260C42×C73—24no—
261C23×C73—22no—
262C23×C73—22no—
263C23×C73—22no—
264C23×C73—22no—
265C23×C73—42no—
266C23×C73—42no—
267C23×C73—42no—
268C23×C73C22×D412yes—
269C23×C73C22×D411yescharacteristic
270D4×C73—22no—
271D4×C73—22no—
272D4×C73—48no—
273D4×C73—42no—
274C2×C4×C73—22no—
275C2×C4×C73—24no—
276C2×C4×C73—22no—
277C2×C4×C73—22no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—42no—
282C2×C4×C73—42no—
283C2×C4×C73—42no—
284C2×C4×C73C22×D412yes—
285C2×C4×C73C22×D411yescharacteristic
286C2×C4×C732−1+412yes—
287C2×C4×C732−1+412yes—
288C2×C4×C73C2511yescharacteristic
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—28no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—44no—
298C2×Dic73—42no—
299C2×Dic73—42no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—48no—
303C2×Dic73#13514yes—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307C2×Dic73C22×D412yes—
308Dic146—22no—
309Dic146—22no—
310Dic146—48no—
311Dic146—42no—
312Dic146—48no—
313C8×C73—22no—
314C8×C73—22no—
315#10596831—22no—
316#10596831—22no—
317C22×C73—22no—
318C22×C73—22no—
319C22×C73—22no—
320C22×C73—44no—
321C22×C73—42no—
322C22×C73—42no—
323C22×C73—42no—
324C22×C73—84no—
325C22×C73#53612yes—
326C22×C73C2×#13512yes—
327C22×C73#57512yes—
328C22×C73C23×D411yescharacteristic
329C4×C73—22no—
330C4×C73—42no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73#53612yes—
334C4×C73C2×2−1+411yescharacteristic
335C4×C73C2×2−1+411yescharacteristic
336Dic73—22no—
337Dic73—22no—
338Dic73—22no—
339Dic73—42no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73C2×#13514yes—
344C2×#3233—731nomaximal, Sylow
345C2×C73—42no—
346C2×C73—82no—
347C2×C73#323314yescomplemented
348C2×C73C2×#53611yescharacteristic
349C2×C73C22×#13511yescharacteristic
350C2×C73C2×#57511yescharacteristic
351C2×#533—731no—
352C2×#529—731no—
353#3233—7316no—
354C2×#499—731no—
355C2×#499—731no—
356C2×#488—731no—
357C2×#488—731no—
358C2×#485—731no—
359C2×#485—731no—
360C2×#482—731no—
361C2×#482D7311yescharacteristic
362C2×#477—731no—
363C2×#475—731no—
364C2×#476—731no—
365C2×#474—731no—
366C2×#431—731no—
367C73C2×#323311yescharacteristic, complemented, Sylow
368#533—738no—
369#533—1464no—
370C2×C4⋊Q8—731no—
371C2×C4⋊Q8—731no—
372#529—738no—
373#529—1464no—
374C2×#126—1461no—
375C2×#125—731no—
376C2×#125—731no—
377C2×#125—731no—
378C2×#124—731no—
379C2×#123—1461no—
380C2×C22⋊Q8—731no—
381C2×C22⋊Q8—1461no—
382C2×C22⋊Q8—1461no—
383C2×#121C2×D7311yescharacteristic
384C2×C4×Q8—731no—
385C2×C4×Q8—1461no—
386C2×C4×Q8—1461no—
387C2×C4×D4—731no—
388C2×C4×D4—1461no—
389C2×#117—731no—
390C2×#117—1461no—
391C2×#117C2×D7311yescharacteristic
392C22×C42—731no—
393#499—738no—
394#499—738no—
395#488—738no—
396#488—738no—
397#485—738no—
398#485—738no—
399#482—738no—
400#482C2×D7318yes—
401#477—738no—
402#476—738no—
403#475—738no—
404#474—738no—
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⋊C8—731no—
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⋊C8C2×D7311yescharacteristic
426C2×C4×C8—731no—
427C2×C4×C8—731no—
428C22×Q8—731no—
429C22×Q8—1461no—
430C22×Q8—1461no—
431C22×D4—21no—
432C22×D4C22×D7311yescharacteristic
433C23×C4—731no—
434C23×C4—731no—
435C23×C4—1461no—
436C23×C4C22×D7311yescharacteristic
437C22×C8—731no—
438C22×C8—731no—
439C22×C8C22×D7311yescharacteristic
440C22×C8C22×D7311yescharacteristic
441C4⋊Q8—734no—
442C4⋊Q8—734no—
443C4⋊Q8—1462no—
444C4⋊Q8—1462no—
445#126—1468no—
446#125—734no—
447#125—734no—
448#125—734no—
449#125—1462no—
450#125—1462no—
451#125—1462no—
452#124—734no—
453#124—1462no—
454#123—1468no—
455C22⋊Q8—734no—
456C22⋊Q8—1468no—
457C22⋊Q8—1468no—
458C22⋊Q8—1462no—
459#121—22no—
460#121C22×D7314yes—
461C4×Q8—734no—
462C4×Q8—1468no—
463C4×Q8—1468no—
464C4×Q8—1462no—
465C4×D4—734no—
466C4×D4—1462no—
467C4×D4—1468no—
468#117—22no—
469#117—734no—
470#117—1468no—
471#117—1462no—
472#117C22×D7314yes—
473C2×C4⋊C4—731no—
474C2×C4⋊C4—731no—
475C2×C4⋊C4—731no—
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⋊C4—1461no—
485C2×C4⋊C4—1461no—
486C2×C4⋊C4C22×D7311yescharacteristic
487C2×C4⋊C4C22×D7311yescharacteristic
488C2×C4⋊C4C22×D7311yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—1461no—
492C2×C22⋊C4—1461no—
493C2×C22⋊C4—1461no—
494C2×C22⋊C4—1461no—
495C2×C22⋊C4—1461no—
496C2×C42—21no—
497C2×C42—731no—
498C2×C42—731no—
499C2×C42—734no—
500C2×C42—731no—
501C2×C42—731no—
502C2×C42—734no—
503C2×C42—1461no—
504C2×C42—1461no—
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⋊C8—734no—
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⋊C8C22×D7314yes—
525C4×C8—734no—
526C4×C8—734no—
527C24—21no—
528C24D4×D7311yescharacteristic
529C2×Q8—2924no—
530C2×Q8—2924no—
531C2×Q8—732no—
532C2×Q8—1464no—
533C2×Q8—1464no—
534C2×Q8—1462no—
535C2×Q8—1462no—
536C2×Q8—1461no—
537C2×D4—24no—
538C2×D4—21no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—44no—
542C2×D4C23×D7312yes—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—2924no—
549C22×C4—2922no—
550C22×C4—734no—
551C22×C4—731no—
552C22×C4—734no—
553C22×C4—731no—
554C22×C4—731no—
555C22×C4—731no—
556C22×C4—1464no—
557C22×C4—1461no—
558C22×C4—1461no—
559C22×C4—1461no—
560C22×C4—1461no—
561C22×C4—1464no—
562C22×C4D4×D7312yes—
563C22×C4D4×D7311yescharacteristic
564C22×C4C23×D7312yes—
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—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—732no—
578C4⋊C4—732no—
579C4⋊C4—732no—
580C4⋊C4—1464no—
581C4⋊C4—1464no—
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—1461no—
591C4⋊C4—1461no—
592C4⋊C4—1461no—
593C4⋊C4C23×D7312yes—
594C4⋊C4C23×D7312yes—
595C4⋊C4C23×D7312yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—1464no—
599C22⋊C4—1464no—
600C22⋊C4—1464no—
601C22⋊C4—1464no—
602C22⋊C4—1464no—
603C42—24no—
604C42—734no—
605C42—732no—
606C42—734no—
607C42—732no—
608C42—732no—
609C42—732no—
610C42—1464no—
611C42—1464no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D7312yes—
620C23C2×D4×D7311yescharacteristic
621Q8—2928no—
622Q8—2928no—
623Q8—2922no—
624Q8—1462no—
625Q8—1462no—
626D4—22no—
627D4—22no—
628D4—48no—
629D4—42no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—2922no—
643C2×C4—2922no—
644C2×C4—2928no—
645C2×C4—2924no—
646C2×C4—732no—
647C2×C4—734no—
648C2×C4—732no—
649C2×C4—732no—
650C2×C4—732no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4—1468no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4C2×D4×D7312yes—
660C2×C4C2×D4×D7311yescharacteristic
661C2×C4#1455663812yes—
662C2×C4#1455663812yes—
663C2×C4C24×D7311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1462no—
667C8—1462no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1798915912yes—
677C22#135×D7312yes—
678C22#1798938312yes—
679C22C22×D4×D7311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—2922no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—734no—
689C4—1462no—
690C4—1462no—
691C4—1462no—
692C4#1798915912yes—
693C4C2×#1455663811yescharacteristic
694C4C2×#1455663811yescharacteristic
695C2—42no—
696C2—82no—
697C2#2262110714yesdirect product factor
698C2C2×#1798915911yescharacteristic
699C2C2×#135×D7311yescharacteristic
700C2C2×#1798938311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#482×C73C2
socleC23×C73C22×D4
prime radicalC2×#121×C73C22
hypercenterC2×#482D73
hypocenterC73C2×#3233
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#17989140C2semidirect
3. #22621107C2direct (N × H)
4. C2×#17988988C2semidirect
5. C2×#17988987C2semidirect
6. C2×#17988940C2semidirect
7. C2×#17988940C2semidirect
8. C2×#17988929C2semidirect
9. C2×#17988928C2semidirect
11. C2×#17988881C2semidirect
12. C2×#17988871C2semidirect
13. C2×#17988875C2semidirect
14. C2×#17988865C2semidirect
15. C2×#17988637C2semidirect
18. #17989140C22semidirect
40. #17988988C22semidirect
41. #17988987C22semidirect
42. #17988940C22semidirect
43. #17988940C22semidirect
44. #17988929C22semidirect
45. #17988928C22semidirect
47. #17988881C22semidirect
48. #17988875C22semidirect
49. #17988871C22semidirect
50. #17988865C22semidirect
51. #17988637C22semidirect
347. C2×C73#3233semidirect
367. C73C2×#3233semidirect
697. C2#22621107direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179891402
C2×#179891182
#226211072
C2×#179889882
C2×#179889872
C2×#179889402
C2×#179889292
C2×#179889282
C2×#179889082
C2×#179888812
C2×#179888712
C2×#179888752
C2×#179888652
C2×#179886372
C2×#482×C732
C2×#323373