Finite Group Databasebeta

← C2×#22621113 #33958065

Subgroups — C2×#22621113 #33958065

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×#17989123C211yesmaximal, characteristic
3#22621113C2116yesmaximal, direct product factor
4C2×#17988988C211yesmaximal, characteristic, complemented
5C2×#17988987C211yesmaximal, characteristic, complemented
6C2×#17988943C211yesmaximal, characteristic, complemented
7C2×#17988943C211yesmaximal, characteristic, complemented
8C2×#17988925C211yesmaximal, characteristic, complemented
9C2×#17988912C211yesmaximal, characteristic
10C2×#17988911C211yesmaximal, characteristic
11C2×#17988880C211yesmaximal, characteristic, complemented
12C2×#17988870C211yesmaximal, characteristic, complemented
13C2×#17988876C211yesmaximal, characteristic, complemented
14C2×#17988866C211yesmaximal, characteristic, complemented
15C2×#17988637C211yesmaximal, characteristic, complemented
16C2×#485×C73C211yesmaximal, characteristic, complemented
17#17989140—24no—
18#17989140C2218yescomplemented
19C2×#14556590C2211yescharacteristic
20C2×#14556590C2211yescharacteristic
21#17989123—24no—
22#17989123C2218yes—
23C2×#14556586—21no—
24C2×#14556582C2211yescharacteristic
25C2×#14556582C2211yescharacteristic
26C2×#14556582C2211yescharacteristic
27C2×#14556580C2211yescharacteristic
28C2×#14556575—21no—
29C2×#14556568—21no—
30C2×#14556568—21no—
31C2×#14556565C2211yescharacteristic
32C2×Q8×Dic73C2211yescharacteristic
33C2×C4×Dic146—21no—
34C2×C4×Dic146—21no—
35C2×#14556553C2211yescharacteristic
36C2×#14556551—21no—
37C2×#14556550C2211yescharacteristic
38C2×#14556549—21no—
39C22×C4×Dic73C2211yescharacteristic
40#17988988C2218yescomplemented
41#17988987C2218yescomplemented
42#17988943C2218yescomplemented
43#17988943C2218yescomplemented
44#17988925C2218yescomplemented
45#17988912C2218yes—
46#17988911C2218yes—
47#17988880C2218yescomplemented
48#17988876C2218yescomplemented
49#17988870C2218yescomplemented
50#17988866C2218yescomplemented
51#17988637C2218yescomplemented
52C2×#14556525C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556520C2211yescharacteristic
59C2×#14556520C2211yescharacteristic
60C2×#14556515C2211yescharacteristic
61C2×#14556515C2211yescharacteristic
62C2×#14556513C2211yescharacteristic
63C2×#14556513C2211yescharacteristic
64C2×#14556511C2211yescharacteristic
65C2×#14556511C2211yescharacteristic
66C2×C22⋊#10596831C2211yescharacteristic
67C2×C8×Dic73C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C22⋊Q8×C73C2211yescharacteristic
70C2×#117×C73C2211yescharacteristic
71#485×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×#103×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×C22⋊C8×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×D292C2311yescharacteristic
80C22×C22⋊D73—21no—
81C23×Dic73D411yescharacteristic
82C23×Dic73D411yescharacteristic
83C22×C4×D73—21no—
84C22×#10596831C2311yescharacteristic
85C22×#10596831C2311yescharacteristic
86#14556590—22no—
87#14556590—22no—
88#14556590C2314yes—
89#14556590C2314yes—
90#14556586—28no—
91#14556582—22no—
92#14556582—22no—
93#14556582—22no—
94#14556582C2314yes—
95#14556582C2314yes—
96#14556582C2314yes—
97#14556580—22no—
98#14556580C2314yes—
99#14556575—28no—
100#14556568—28no—
101#14556568—28no—
102#14556565—22no—
103#14556565C2314yes—
104Q8×Dic73—22no—
105Q8×Dic73C2314yes—
106C4×Dic146—28no—
107C4×Dic146—28no—
108#14556553—22no—
109#14556553C2314yes—
110#14556551—28no—
111#14556550—22no—
112#14556550C2314yes—
113#14556549—28no—
114C2×C4⋊Dic73—21no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73C2311yescharacteristic
119C2×C4⋊Dic73C2311yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×#11924007—21no—
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×C22⋊Dic73—21no—
127C2×#11924005—21no—
128C2×#11924005—21no—
129C2×#11924005—21no—
130C2×#11924005—21no—
131C2×C4×Dic73—21no—
132C2×C4×Dic73—21no—
133C2×C4×Dic73D414yes—
134C2×C4×Dic73D411yescharacteristic
135C2×C4×Dic73D411yescharacteristic
136C2×C4×Dic73C2314yes—
137C2×C4×Dic73C2311yescharacteristic
138C2×C4×Dic73C2311yescharacteristic
139#14556525C2314yes—
140#14556524C2314yes—
141#14556524C2314yes—
142#14556523C2314yes—
143#14556522C2314yes—
144#14556522C2314yes—
145#14556520C2314yes—
146#14556520C2314yes—
147#14556515C2314yes—
148#14556515C2314yes—
149#14556513C2314yes—
150#14556513C2314yes—
151#14556511C2314yes—
152#14556511C2314yes—
153C22⋊#10596831C2314yes—
154C8×Dic73C2314yes—
155C8×Dic73C2314yes—
156C22×Q8×C73C2311yescharacteristic
157C23×C4×C73C2311yescharacteristic
158C22×C8×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22⋊Q8×C73—22no—
161C22⋊Q8×C73C2314yes—
162#117×C73—22no—
163#117×C73C2314yes—
164C2×C4⋊C4×C73—21no—
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#103×C73C2314yes—
174#103×C73C2314yes—
175C22⋊C8×C73C2314yes—
176C23×D73—21no—
177C2×Dic146—24no—
178C2×Dic146—24no—
179C2×Dic146—44no—
180C2×Dic146—44no—
181C2×D292—22no—
182C2×D292—22no—
183C2×D292—21no—
184C2×D292C2412yes—
185C2×C22⋊D73—24no—
186C2×C22⋊D73—44no—
187C22×Dic73—24no—
188C22×Dic73—21no—
189C22×Dic73—21no—
190C22×Dic73—21no—
191C22×Dic73—42no—
192C22×Dic73C2×D411yescharacteristic
193C22×Dic73C2×D411yescharacteristic
194C22×Dic73C2×D411yescharacteristic
195C22×Dic73C2×D414yes—
196C22×Dic73C2×D414yes—
197C22×Dic73C2×D411yescharacteristic
198C2×C4×D73—24no—
199C2×C4×D73—44no—
200C2×#10596831—22no—
201C2×#10596831—22no—
202C2×#10596831C2412yes—
203C2×#10596831C2412yes—
204C4⋊Dic73—21no—
205C4⋊Dic73—21no—
206C4⋊Dic73—21no—
207C4⋊Dic73—24no—
208C4⋊Dic73—24no—
209C4⋊Dic73—24no—
210C4⋊Dic73—24no—
211C4⋊Dic73C2412yes—
212C4⋊Dic73C2412yes—
213C4⋊Dic73C2412yes—
214#11924007—24no—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219C22⋊Dic73—24no—
220#11924005—24no—
221#11924005—24no—
222#11924005—24no—
223#11924005—24no—
224C4×Dic73—24no—
225C4×Dic73—24no—
226C4×Dic73C2×D414yes—
227C4×Dic73C2×D412yes—
228C4×Dic73C2×D414yes—
229C4×Dic73C2×D412yes—
230C4×Dic73C2412yes—
231C4×Dic73C2412yes—
232C24×C73C2×D411yescharacteristic
233C2×Q8×C73—21no—
234C2×Q8×C73—22no—
235C2×Q8×C73—22no—
236C2×Q8×C73C2412yes—
237C22×C4×C73—22no—
238C22×C4×C73—22no—
239C22×C4×C73—21no—
240C22×C4×C73—21no—
241C22×C4×C73—21no—
242C22×C4×C73—21no—
243C22×C4×C73C2×D411yescharacteristic
244C22×C4×C73C2×D412yes—
245C22×C4×C73C2412yes—
246C22×C4×C73C2411yescharacteristic
247C2×C8×C73—22no—
248C2×C8×C73—22no—
249C2×C8×C73C2412yes—
250C2×C8×C73C2412yes—
251C4⋊C4×C73—24no—
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×C73C22×D412yes—
265C23×C73C22×D411yescharacteristic
266C22×D73—22no—
267C22×D73—42no—
268C22×D73—42no—
269C22×D73—42no—
270Q8×C73—22no—
271Q8×C73—22no—
272Q8×C73—42no—
273C2×C4×C73—22no—
274C2×C4×C73—24no—
275C2×C4×C73—22no—
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×C73—42no—
285C2×C4×C73C22×D412yes—
286C2×C4×C73C22×D411yescharacteristic
287C2×C4×C732−1+412yes—
288C2×C4×C732−1+412yes—
289C2×C4×C73C2511yescharacteristic
290C22⋊D73—48no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—28no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—44no—
299C2×Dic73—42no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73#13514yes—
303C2×Dic73C22×D412yes—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307D292—22no—
308D292—22no—
309D292—42no—
310C4×D73—48no—
311Dic146—48no—
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#53612yes—
322C22×C73C2×#13512yes—
323C22×C73#57512yes—
324C22×C73C23×D411yescharacteristic
325C2×D73—42no—
326C2×D73—42no—
327C2×D73—42no—
328C2×D73—84no—
329C4×C73—22no—
330C4×C73—42no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73#53612yes—
335C4×C73C2×2−1+411yescharacteristic
336C4×C73C2×2−1+411yescharacteristic
337Dic73—22no—
338Dic73—22no—
339Dic73—22no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73C2×#13514yes—
344C2×#3233—731nomaximal, Sylow
345C2×C73—42no—
346C2×C73#323314yescomplemented
347C2×C73C2×#53611yescharacteristic
348C2×C73C22×#13511yescharacteristic
349C2×C73C2×#57511yescharacteristic
350D73—82no—
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×#485D7311yescharacteristic, complemented
360C2×#482—731no—
361C2×#482—731no—
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—1461no—
381C2×C22⋊Q8—1461no—
382C2×C22⋊Q8C2×D7311yescharacteristic
383C2×#121—731no—
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#485C2×D7318yescomplemented
399#482—738no—
400#482—738no—
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×#103C2×D7311yescharacteristic
419C2×#103C2×D7311yescharacteristic
420C2×#102—731no—
421C2×#102—731no—
422C2×#102—731no—
423C2×#102—731no—
424C2×C22⋊C8—731no—
425C2×C22⋊C8C2×D7311yescharacteristic
426C2×C4×C8—731no—
427C2×C4×C8—731no—
428C22×Q8—1461no—
429C22×Q8—1461no—
430C22×Q8C22×D7311yescharacteristic
431C22×D4—731no—
432C22×D4—1461no—
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—22no—
456C22⋊Q8—1468no—
457C22⋊Q8—1468no—
458C22⋊Q8C22×D7314yes—
459#121—734no—
460#121—1462no—
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—21no—
474C2×C4⋊C4—731no—
475C2×C4⋊C4—731no—
476C2×C4⋊C4—731no—
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#103C22×D7314yes—
518#103C22×D7314yes—
519#102—734no—
520#102—734no—
521#102—734no—
522#102—734no—
523C22⋊C8—734no—
524C22⋊C8C22×D7314yes—
525C4×C8—734no—
526C4×C8—734no—
527C24—1461no—
528C24D4×D7311yescharacteristic
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—2924no—
533C2×Q8—2924no—
534C2×Q8—1464no—
535C2×Q8—1464no—
536C2×Q8C23×D7312yes—
537C2×D4—2924no—
538C2×D4—732no—
539C2×D4—1464no—
540C2×D4—1461no—
541C2×D4—1462no—
542C2×D4—1462no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—2924no—
550C22×C4—2922no—
551C22×C4—734no—
552C22×C4—731no—
553C22×C4—734no—
554C22×C4—731no—
555C22×C4—731no—
556C22×C4—731no—
557C22×C4—1464no—
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—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—732no—
579C4⋊C4—732no—
580C4⋊C4—732no—
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—2922no—
616C23—2922no—
617C23—2922no—
618C23—1462no—
619C23C2×D4×D7312yes—
620C23C2×D4×D7311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—2928no—
625Q8—2928no—
626D4—2928no—
627D4—2922no—
628D4—1462no—
629D4—1462no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—2928no—
643C2×C4—2922no—
644C2×C4—2922no—
645C2×C4—2922no—
646C2×C4—2924no—
647C2×C4—732no—
648C2×C4—734no—
649C2×C4—732no—
650C2×C4—732no—
651C2×C4—732no—
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—2922no—
673C22—2922no—
674C22—2922no—
675C22—5844no—
676C22#1798915912yes—
677C22#135×D7312yes—
678C22#1798938612yes—
679C22C22×D4×D7311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—734no—
689C4—1462no—
690C4—1462no—
691C4—1462no—
692C4#1798915912yes—
693C4C2×#1455663811yescharacteristic
694C4C2×#1455663811yescharacteristic
695C2—42no—
696C2—5842no—
697C2#2262111314yesdirect product factor
698C2C2×#1798915911yescharacteristic
699C2C2×#135×D7311yescharacteristic
700C2C2×#1798938611yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#485×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
hypercenterC2×#485D73
hypocenterC73C2×#3233
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
1. C2×#17989140C2semidirect
3. #22621113C2direct (N × H)
4. C2×#17988988C2semidirect
5. C2×#17988987C2semidirect
6. C2×#17988943C2semidirect
7. C2×#17988943C2semidirect
8. C2×#17988925C2semidirect
11. C2×#17988880C2semidirect
12. C2×#17988870C2semidirect
13. C2×#17988876C2semidirect
14. C2×#17988866C2semidirect
15. C2×#17988637C2semidirect
16. C2×#485×C73C2semidirect
18. #17989140C22semidirect
40. #17988988C22semidirect
41. #17988987C22semidirect
42. #17988943C22semidirect
43. #17988943C22semidirect
44. #17988925C22semidirect
47. #17988880C22semidirect
48. #17988876C22semidirect
49. #17988870C22semidirect
50. #17988866C22semidirect
51. #17988637C22semidirect
71. #485×C73C22semidirect
346. C2×C73#3233semidirect
359. C2×#485D73semidirect
367. C73C2×#3233semidirect
398. #485C2×D73semidirect
697. C2#22621113direct (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×#179891232
#226211132
C2×#179889882
C2×#179889872
C2×#179889432
C2×#179889252
C2×#179889122
C2×#179889112
C2×#179888802
C2×#179888702
C2×#179888762
C2×#179888662
C2×#179886372
C2×#485×C732
C2×#323373