Finite Group Databasebeta

← C2×#22622884 #33966520

Subgroups — C2×#22622884 #33966520

Order 18688.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989298C211yesmaximal, characteristic, complemented
2C2×#17989296C211yesmaximal, characteristic, complemented
3#22622884C2116yesmaximal, direct product factor
4C2×#17988995C211yesmaximal, characteristic, complemented
5C2×#17988993C211yesmaximal, characteristic, complemented
6C2×#17988988C211yesmaximal, characteristic, complemented
7C2×#17988890C211yesmaximal, characteristic, complemented
8C2×#17988889C211yesmaximal, characteristic, complemented
9C2×#17988888C211yesmaximal, characteristic, complemented
10C2×#17988885C211yesmaximal, characteristic, complemented
11C2×#17988866C211yesmaximal, characteristic, complemented
12C2×#17988716C211yesmaximal, characteristic, complemented
13C2×#17988697C211yesmaximal, characteristic
14C2×#17988696C211yesmaximal, characteristic
15C2×#17988667C211yesmaximal, characteristic
16C2×#474×C73C211yesmaximal, characteristic, complemented
17C22×#11924013C2211yescharacteristic
18#17989298—24no—
19#17989298C2218yescomplemented
20#17989296—24no—
21#17989296C2218yescomplemented
22C2×#14556590C2211yescharacteristic
23C2×#14556583C2211yescharacteristic
24C2×#14556582C2211yescharacteristic
25C2×#14556582C2211yescharacteristic
26C2×#14556582C2211yescharacteristic
27C2×#14556571—21no—
28C2×#14556570—21no—
29C2×#14556568—21no—
30C2×#14556568—21no—
31C2×#14556567—21no—
32C2×#14556567—21no—
33C2×C4×Dic146C2211yescharacteristic
34C2×C4×D292C2211yescharacteristic
35C2×D4×Dic73C2211yescharacteristic
36C2×D4×Dic73C2211yescharacteristic
37C2×#14556553C2211yescharacteristic
38C2×#14556553C2211yescharacteristic
39C22×#11924007—21no—
40C2×C4⋊C4×D73—21no—
41#17988995C2218yescomplemented
42#17988993C2218yescomplemented
43#17988988C2218yescomplemented
44#17988890C2218yescomplemented
45#17988889C2218yescomplemented
46#17988888C2218yescomplemented
47#17988885C2218yescomplemented
48#17988866C2218yescomplemented
49#17988716C2218yescomplemented
50#17988697C2218yes—
51#17988696C2218yes—
52#17988667C2218yes—
53C2×#14556525C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556524C2211yescharacteristic
56C2×#14556523C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59C2×#14556522C2211yescharacteristic
60C2×#14556520C2211yescharacteristic
61C2×#14556520C2211yescharacteristic
62C2×#14556513C2211yescharacteristic
63C2×#14556513C2211yescharacteristic
64C2×#14556512C2211yescharacteristic
65C2×#14556511C2211yescharacteristic
66C2×#14556502C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C4⋊Q8×C73C2211yescharacteristic
70C2×C4×D4×C73C2211yescharacteristic
71#474×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#107×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×#102×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146D411yescharacteristic
79C22×D292C2311yescharacteristic
80C23×Dic73—21no—
81C23×Dic73—21no—
82C22×C4×D73—21no—
83C22×C4×D73—21no—
84C22×C4×D73—21no—
85C2×#11924013Q818yescomplemented
86C2×#11924013C2314yes—
87C22×#10596831C2311yescharacteristic
88C22×#10596831C2311yescharacteristic
89#14556590—22no—
90#14556590C2314yes—
91#14556583—22no—
92#14556583C2314yes—
93#14556582—22no—
94#14556582—22no—
95#14556582—22no—
96#14556582C2314yes—
97#14556582C2314yes—
98#14556582C2314yes—
99#14556571—28no—
100#14556570—28no—
101#14556568—28no—
102#14556568—28no—
103#14556567—28no—
104#14556567—28no—
105C4×Dic146D414yes—
106C4×Dic146C2314yes—
107C4×D292—22no—
108C4×D292C2314yes—
109D4×Dic73—22no—
110D4×Dic73—22no—
111D4×Dic73C2314yes—
112D4×Dic73C2314yes—
113#14556553—22no—
114#14556553—22no—
115#14556553C2314yes—
116#14556553C2314yes—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73—21no—
119C2×C4⋊Dic73—21no—
120C2×C4⋊Dic73D411yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—28no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007D411yescharacteristic
132C2×#11924007D411yescharacteristic
133C4⋊C4×D73—28no—
134C2×C22⋊Dic73—21no—
135C2×C22⋊Dic73—21no—
136C2×#11924005—21no—
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×C4×Dic73C2311yescharacteristic
140C2×C4×Dic73C2311yescharacteristic
141#14556525C2314yes—
142#14556524C2314yes—
143#14556524C2314yes—
144#14556523C2314yes—
145#14556522C2314yes—
146#14556522C2314yes—
147#14556522C2314yes—
148#14556520C2314yes—
149#14556520C2314yes—
150#14556513C2314yes—
151#14556513C2314yes—
152#14556512C2314yes—
153#14556511C2314yes—
154#14556502C2314yes—
155#14556501C2314yes—
156C8×Dic73C2314yes—
157C22×Q8×C73—21no—
158C22×D4×C73C2311yescharacteristic
159C23×C4×C73—21no—
160C22×C8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162C4⋊Q8×C73—22no—
163C4⋊Q8×C73C2314yes—
164C4×D4×C73—22no—
165C4×D4×C73C2314yes—
166C2×C4⋊C4×C73—21no—
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C4⋊C4×C73C2311yescharacteristic
170C2×C22⋊C4×C73—21no—
171C2×C42×C73C2311yescharacteristic
172#107×C73C2314yes—
173#107×C73C2314yes—
174C4⋊C8×C73C2314yes—
175#102×C73C2314yes—
176#102×C73C2314yes—
177C23×D73—21no—
178C2×Dic146—24no—
179C2×Dic146—42no—
180C2×Dic146—82no—
181C2×Dic146C2×D414yes—
182C2×D292—21no—
183C2×D292—22no—
184C2×D292C2×Q814yes—
185C2×D292C2412yes—
186C22×Dic73—21no—
187C22×Dic73—21no—
188C22×Dic73—21no—
189C22×Dic73—24no—
190C22×Dic73—24no—
191C22×Dic73—44no—
192C22×Dic73—82no—
193C22×Dic73C2×D411yescharacteristic
194C22×Dic73C2×D411yescharacteristic
195C22×Dic73C2×D411yescharacteristic
196C22×Dic73C2×D411yescharacteristic
197C2×C4×D73—24no—
198C2×C4×D73—24no—
199C2×C4×D73—24no—
200C2×C4×D73—44no—
201C2×C4×D73—82no—
202C2×C4×D73—82no—
203#11924013C2×Q8116yescomplemented
204C2×#10596831—22no—
205C2×#10596831C2×Q814yes—
206C2×#10596831C2412yes—
207C2×#10596831C2412yes—
208C4⋊Dic73—21no—
209C4⋊Dic73—21no—
210C4⋊Dic73—21no—
211C4⋊Dic73—24no—
212C4⋊Dic73—24no—
213C4⋊Dic73—24no—
214C4⋊Dic73C2×D414yes—
215C4⋊Dic73C2412yes—
216C4⋊Dic73C2412yes—
217C4⋊Dic73C2412yes—
218#11924007—24no—
219#11924007—24no—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224#11924007C2×D414yes—
225#11924007C2×D414yes—
226C22⋊Dic73—24no—
227C22⋊Dic73—24no—
228#11924005—24no—
229#11924005—24no—
230#11924005—24no—
231C4×Dic73C2×D412yes—
232C4×Dic73C2×D412yes—
233C4×Dic73C2412yes—
234C4×Dic73C2412yes—
235C24×C73—21no—
236C2×Q8×C73—24no—
237C2×Q8×C73—82no—
238C2×D4×C73—21no—
239C2×D4×C73—22no—
240C2×D4×C73C2×Q814yes—
241C2×D4×C73C2412yes—
242C22×C4×C73—21no—
243C22×C4×C73—21no—
244C22×C4×C73—21no—
245C22×C4×C73—24no—
246C22×C4×C73—82no—
247C22×C4×C73C2×D411yescharacteristic
248C22×C4×C73C2×D411yescharacteristic
249C22×C4×C73C2411yescharacteristic
250C2×C8×C73—22no—
251C2×C8×C73—22no—
252C2×C8×C73C2412yes—
253C2×C8×C73C2412yes—
254C4⋊C4×C73—24no—
255C4⋊C4×C73—21no—
256C4⋊C4×C73—21no—
257C4⋊C4×C73—21no—
258C4⋊C4×C73C2412yes—
259C4⋊C4×C73C2412yes—
260C4⋊C4×C73C2412yes—
261C22⋊C4×C73—24no—
262C42×C73C2×D412yes—
263C42×C73C2412yes—
264C23×C73—24no—
265C23×C73—22no—
266C23×C73—42no—
267C23×C73—42no—
268C23×C73C22×D411yescharacteristic
269C22×D73—24no—
270C22×D73—22no—
271C22×D73—42no—
272C22×D73—42no—
273Q8×C73—84no—
274D4×C73—24no—
275D4×C73—22no—
276D4×C73C22×Q814yes—
277C2×C4×C73—22no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—22no—
282C2×C4×C73—42no—
283C2×C4×C73—42no—
284C2×C4×C73—42no—
285C2×C4×C73—84no—
286C2×C4×C73C22×D412yes—
287C2×C4×C73C22×D412yes—
288C2×C4×C73C22×D411yescharacteristic
289C2×C4×C73C22×Q812yes—
290C2×C4×C732−1+412yes—
291C2×C4×C73C2511yescharacteristic
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—48no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—42no—
303C2×Dic73—84no—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307C2×Dic73C22×D412yes—
308D292—24no—
309D292—22no—
310D292C22×Q814yes—
311C4×D73—48no—
312C4×D73—84no—
313C4×D73—84no—
314Dic146—44no—
315Dic146—84no—
316C8×C73—22no—
317C8×C73—22no—
318#10596831—22no—
319#10596831C22×Q814yes—
320C22×C73—24no—
321C22×C73—48no—
322C22×C73—42no—
323C22×C73—42no—
324C22×C73D4×Q812yes—
325C22×C73#57512yes—
326C22×C73#57612yes—
327C22×C73C23×D411yescharacteristic
328C2×D73—24no—
329C2×D73—48no—
330C2×D73—42no—
331C2×D73—42no—
332C4×C73—22no—
333C4×C73—22no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73—42no—
337C4×C73D4×Q812yes—
338C4×C73C23×Q811yescharacteristic
339C4×C73C2×2−1+411yescharacteristic
340Dic73—22no—
341Dic73—22no—
342Dic73—22no—
343Dic73—22no—
344Dic73—42no—
345Dic73—42no—
346Dic73—42no—
347C2×#3389—731nomaximal, Sylow
348C2×C73—44no—
349C2×C73#338914yescomplemented
350C2×C73C2×D4×Q811yescharacteristic
351C2×C73C2×#57511yescharacteristic
352C2×C73C2×#57611yescharacteristic
353D73—44no—
354C2×#554—731no—
355C2×#554—731no—
356#3389—7316no—
357C2×#501—731no—
358C2×#501—731no—
359C2×#499—731no—
360C2×#478—731no—
361C2×#478—731no—
362C2×#478—731no—
363C2×#478—731no—
364C2×#474—731no—
365C2×#474D7311yescharacteristic, complemented
366C2×#446—731no—
367C2×#442—731no—
368C2×#442—731no—
369C2×C4×D8—731no—
370C73C2×#338911yescharacteristic, complemented, Sylow
371C22×D8—731no—
372#554—738no—
373#554—738no—
374#554—1464no—
375#554—1464no—
376C2×C4⋊Q8—731no—
377C2×C4⋊Q8C2×D7311yescharacteristic
378C2×#125—731no—
379C2×#125—731no—
380C2×#125—731no—
381C2×#125—731no—
382C2×C22⋊Q8—1461no—
383C2×C22⋊Q8—1461no—
384C2×C22⋊Q8—1461no—
385C2×C22⋊Q8—1461no—
386C2×C22⋊Q8—1461no—
387C2×C22⋊Q8—1461no—
388C2×C4×Q8—731no—
389C2×C4×D4—731no—
390C2×C4×D4—731no—
391C2×C4×D4—731no—
392C2×C4×D4—731no—
393C2×C4×D4—731no—
394C2×C4×D4C2×D7311yescharacteristic
395C22×C4⋊C4—1461no—
396C22×C4⋊C4—1461no—
397#501—738no—
398#501—738no—
399#499—738no—
400#478—738no—
401#478—738no—
402#478—738no—
403#478—738no—
404#474—738no—
405#474C2×D7318yescomplemented
406#446—738no—
407#442—738no—
408#442—738no—
409C4×D8—738no—
410C2×#107—731no—
411C2×#107—731no—
412C2×#107—731no—
413C2×#107C2×D7311yescharacteristic
414C2×#107C2×D7311yescharacteristic
415C2×#106—731no—
416C2×#106—731no—
417C2×#106—731no—
418C2×#106—731no—
419C2×C4⋊C8—731no—
420C2×C4⋊C8—731no—
421C2×C4⋊C8C2×D7311yescharacteristic
422C2×#102—731no—
423C2×#102—731no—
424C2×#102—731no—
425C2×#102—731no—
426C2×#102C2×D7311yescharacteristic
427C2×#102C2×D7311yescharacteristic
428C2×#97—731no—
429C2×#97—731no—
430C2×C4×C8—731no—
431C22×Q8—21no—
432C22×Q8—731no—
433C22×Q8—1461no—
434C22×D4—731no—
435C22×D4C22×D7311yescharacteristic
436C23×C4—21no—
437C23×C4—1461no—
438C23×C4—1461no—
439C23×C4—1461no—
440C23×C4—1461no—
441C23×C4—1461no—
442C2×D8—738no—
443C2×D8—734no—
444C22×C8—731no—
445C22×C8—731no—
446C22×C8C22×D7311yescharacteristic
447C22×C8C22×D7311yescharacteristic
448C4⋊Q8—22no—
449C4⋊Q8—734no—
450C4⋊Q8—1462no—
451C4⋊Q8C22×D7314yes—
452#125—734no—
453#125—734no—
454#125—734no—
455#125—734no—
456#125—1462no—
457#125—1462no—
458#125—1462no—
459#125—1462no—
460C22⋊Q8—1468no—
461C22⋊Q8—1468no—
462C22⋊Q8—1468no—
463C22⋊Q8—1468no—
464C22⋊Q8—1468no—
465C22⋊Q8—1468no—
466C4×Q8—734no—
467C4×Q8—734no—
468C4×D4—22no—
469C4×D4—734no—
470C4×D4—734no—
471C4×D4—734no—
472C4×D4—734no—
473C4×D4—734no—
474C4×D4—1462no—
475C4×D4—1462no—
476C4×D4—1462no—
477C4×D4—1462no—
478C4×D4—1462no—
479C4×D4C22×D7314yes—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—731no—
482C2×C4⋊C4—731no—
483C2×C4⋊C4—731no—
484C2×C4⋊C4—731no—
485C2×C4⋊C4—731no—
486C2×C4⋊C4—731no—
487C2×C4⋊C4—1468no—
488C2×C4⋊C4—1468no—
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⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4C22×D7311yescharacteristic
499C2×C4⋊C4C22×D7311yescharacteristic
500C2×C4⋊C4C22×D7311yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—1461no—
503C2×C22⋊C4—1461no—
504C2×C22⋊C4—1461no—
505C2×C22⋊C4—1461no—
506C2×C22⋊C4—1461no—
507C2×C42—731no—
508C2×C42—731no—
509C2×C42C22×D7311yescharacteristic
510#107—734no—
511#107—734no—
512#107—734no—
513#107C22×D7314yes—
514#107C22×D7314yes—
515#106—734no—
516#106—734no—
517#106—734no—
518#106—734no—
519C4⋊C8—734no—
520C4⋊C8—734no—
521C4⋊C8C22×D7314yes—
522#102—734no—
523#102—734no—
524#102—734no—
525#102—734no—
526#102C22×D7314yes—
527#102C22×D7314yes—
528#97—734no—
529#97—734no—
530C4×C8—734no—
531C24—21no—
532C24—1461no—
533C2×Q8—24no—
534C2×Q8—82no—
535C2×Q8—2922no—
536C2×Q8—5842no—
537C2×Q8—734no—
538C2×Q8—1464no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—734no—
542C2×D4—732no—
543C2×D4—1461no—
544C2×D4—1462no—
545C2×D4Q8×D7314yes—
546C2×D4C23×D7312yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—82no—
552C22×C4—2924no—
553C22×C4—2924no—
554C22×C4—5842no—
555C22×C4—5842no—
556C22×C4—5842no—
557C22×C4—731no—
558C22×C4—731no—
559C22×C4—731no—
560C22×C4—731no—
561C22×C4—1464no—
562C22×C4—1464no—
563C22×C4—1464no—
564C22×C4—1461no—
565C22×C4—1461no—
566C22×C4—1461no—
567C22×C4—1464no—
568C22×C4—1464no—
569C22×C4D4×D7311yescharacteristic
570C22×C4D4×D7311yescharacteristic
571C22×C4C23×D7311yescharacteristic
572D8—7316no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—734no—
576C2×C8—732no—
577C2×C8—732no—
578C2×C8—1462no—
579C2×C8C23×D7312yes—
580C2×C8C23×D7312yes—
581C4⋊C4—24no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—734no—
586C4⋊C4—734no—
587C4⋊C4—734no—
588C4⋊C4—732no—
589C4⋊C4—732no—
590C4⋊C4—732no—
591C4⋊C4—1464no—
592C4⋊C4—1464no—
593C4⋊C4—1464no—
594C4⋊C4—1464no—
595C4⋊C4—1464no—
596C4⋊C4—1464no—
597C4⋊C4—1464no—
598C4⋊C4—1464no—
599C4⋊C4—1464no—
600C4⋊C4—1461no—
601C4⋊C4—1461no—
602C4⋊C4—1461no—
603C4⋊C4C23×D7312yes—
604C4⋊C4C23×D7312yes—
605C4⋊C4C23×D7312yes—
606C22⋊C4—24no—
607C22⋊C4—1464no—
608C22⋊C4—1464no—
609C22⋊C4—1464no—
610C22⋊C4—1464no—
611C22⋊C4—1464no—
612C42—732no—
613C42—732no—
614C42—732no—
615C42—732no—
616C42D4×D7312yes—
617C42C23×D7312yes—
618C23—22no—
619C23—24no—
620C23—42no—
621C23—42no—
622C23—2922no—
623C23—2922no—
624C23—1462no—
625C23—1464no—
626C23C2×D4×D7311yescharacteristic
627Q8—84no—
628Q8—2924no—
629Q8—5844no—
630D4—22no—
631D4—24no—
632D4—734no—
633D4—1462no—
634D4—1464no—
635D4C2×Q8×D7314yes—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—84no—
645C2×C4—2928no—
646C2×C4—2922no—
647C2×C4—2922no—
648C2×C4—2922no—
649C2×C4—2928no—
650C2×C4—5844no—
651C2×C4—5844no—
652C2×C4—5844no—
653C2×C4—732no—
654C2×C4—732no—
655C2×C4—732no—
656C2×C4—732no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4—1462no—
660C2×C4—1462no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1462no—
664C2×C4C2×D4×D7312yes—
665C2×C4C2×D4×D7312yes—
666C2×C4C2×D4×D7311yescharacteristic
667C2×C4C2×Q8×D7312yes—
668C2×C4#1455663812yes—
669C2×C4C24×D7311yescharacteristic
670C8—22no—
671C8—22no—
672C8—734no—
673C8—1462no—
674C22—24no—
675C22—48no—
676C22—42no—
677C22—42no—
678C22—2928no—
679C22—2922no—
680C22—2922no—
681C22—1464no—
682C22#1798925012yes—
683C22#1798938612yes—
684C22#1798938812yes—
685C22C22×D4×D7311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—2922no—
692C4—2922no—
693C4—2922no—
694C4—1462no—
695C4—1462no—
696C4—1462no—
697C4—1462no—
698C4#1798925012yes—
699C4C22×Q8×D7311yescharacteristic
700C4C2×#1455663811yescharacteristic
701C2—44no—
702C2—2924no—
703C2#2262288414yesdirect product factor
704C2C2×#1798925011yescharacteristic
705C2C2×#1798938611yescharacteristic
706C2C2×#1798938811yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#474×C73C2
socleC23×C73C22×D4
prime radicalC22×#11924013C22
hypercenterC2×#474D73
hypocenterC73C2×#3389
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. C2×#17989298C2semidirect
2. C2×#17989296C2semidirect
3. #22622884C2direct (N × H)
4. C2×#17988995C2semidirect
5. C2×#17988993C2semidirect
6. C2×#17988988C2semidirect
7. C2×#17988890C2semidirect
8. C2×#17988889C2semidirect
9. C2×#17988888C2semidirect
10. C2×#17988885C2semidirect
11. C2×#17988866C2semidirect
12. C2×#17988716C2semidirect
16. C2×#474×C73C2semidirect
19. #17989298C22semidirect
21. #17989296C22semidirect
41. #17988995C22semidirect
42. #17988993C22semidirect
43. #17988988C22semidirect
44. #17988890C22semidirect
45. #17988889C22semidirect
46. #17988888C22semidirect
47. #17988885C22semidirect
48. #17988866C22semidirect
49. #17988716C22semidirect
71. #474×C73C22semidirect
85. C2×#11924013Q8semidirect
203. #11924013C2×Q8semidirect
349. C2×C73#3389semidirect
365. C2×#474D73semidirect
370. C73C2×#3389semidirect
405. #474C2×D73semidirect
703. C2#22622884direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892982
C2×#179892962
#226228842
C2×#179889952
C2×#179889932
C2×#179889882
C2×#179888902
C2×#179888892
C2×#179888882
C2×#179888852
C2×#179888662
C2×#179887162
C2×#179886972
C2×#179886962
C2×#179886672
C2×#474×C732
C2×#338973