Finite Group Databasebeta

← C2×#22621216 #33958207

Subgroups — C2×#22621216 #33958207

Order 18688.

1742 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×#17989215C211yesmaximal, characteristic, complemented
2C2×#17989208C211yesmaximal, characteristic
3#22621216C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988992C211yesmaximal, characteristic, complemented
6C2×#17988947C211yesmaximal, characteristic, complemented
7C2×#17988942C211yesmaximal, characteristic, complemented
8C2×#17988923C211yesmaximal, characteristic, complemented
9C2×#17988929C211yesmaximal, characteristic, complemented
10C2×#17988912C211yesmaximal, characteristic
11C2×#17988901C211yesmaximal, characteristic
12C2×#17988895C211yesmaximal, characteristic, complemented
13C2×#17988883C211yesmaximal, characteristic, complemented
14C2×#17988888C211yesmaximal, characteristic, complemented
15C2×#17988868C211yesmaximal, characteristic, complemented
16C2×#433×C73C211yesmaximal, characteristic, complemented
17#17989215—24no—
18#17989215C2218yescomplemented
19#17989208—24no—
20#17989208C2218yes—
21C2×#14556591C2211yescharacteristic
22C2×#14556591C2211yescharacteristic
23C2×#14556591C2211yescharacteristic
24C2×#14556590—21no—
25C2×#14556586—21no—
26C2×#14556583C2211yescharacteristic
27C2×#14556583C2211yescharacteristic
28C2×#14556582—21no—
29C2×#14556579C2211yescharacteristic
30C2×#14556577—21no—
31C2×#14556573—21no—
32C2×#14556570C2211yescharacteristic
33C2×#14556569—21no—
34C2×#14556568—21no—
35C2×#14556568—21no—
36C2×#14556565C2211yescharacteristic
37C2×C4×Dic146C2211yescharacteristic
38C2×C4×D292C2211yescharacteristic
39C2×#14556550C2211yescharacteristic
40C22×C4⋊Dic73C2211yescharacteristic
41#17988996C2218yescomplemented
42#17988992C2218yescomplemented
43#17988947C2218yescomplemented
44#17988942C2218yescomplemented
45#17988929C2218yescomplemented
46#17988923C2218yescomplemented
47#17988912C2218yes—
48#17988901C2218yes—
49#17988895C2218yescomplemented
50#17988888C2218yescomplemented
51#17988883C2218yescomplemented
52#17988868C2218yescomplemented
53C2×#14556525C2211yescharacteristic
54C2×#14556525C2211yescharacteristic
55C2×#14556525C2211yescharacteristic
56C2×#14556525C2211yescharacteristic
57C2×#14556525C2211yescharacteristic
58C2×#14556525C2211yescharacteristic
59C2×#14556523C2211yescharacteristic
60C2×#14556523C2211yescharacteristic
61C2×#14556516C2211yescharacteristic
62C2×#14556516C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556516C2211yescharacteristic
65C2×#14556513C2211yescharacteristic
66C2×#14556513C2211yescharacteristic
67C2×#14556513C2211yescharacteristic
68C2×#14556513C2211yescharacteristic
69C2×#117×C73C2211yescharacteristic
70#433×C73C2218yescomplemented
71C2×C4⋊C8×C73C2211yescharacteristic
72C2×C4⋊C8×C73C2211yescharacteristic
73C2×C22⋊C8×C73C2211yescharacteristic
74C2×C22⋊C8×C73C2211yescharacteristic
75C2×#97×C73C2211yescharacteristic
76C2×C4×C8×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146—21no—
80C22×Dic146C2311yescharacteristic
81C22×D292C2311yescharacteristic
82C22×C22⋊D73—21no—
83C23×Dic73—21no—
84C22×C4×D73—21no—
85#14556591—22no—
86#14556591—22no—
87#14556591—22no—
88#14556591C2314yes—
89#14556591C2314yes—
90#14556591C2314yes—
91#14556590—28no—
92#14556586—28no—
93#14556583—22no—
94#14556583—22no—
95#14556583C2314yes—
96#14556583C2314yes—
97#14556582—28no—
98#14556579—22no—
99#14556579C2314yes—
100#14556577—28no—
101#14556573—28no—
102#14556570—22no—
103#14556570C2314yes—
104#14556569—28no—
105#14556568—28no—
106#14556568—28no—
107#14556565—22no—
108#14556565C2314yes—
109C4×Dic146—22no—
110C4×Dic146C2314yes—
111C4×D292—22no—
112C4×D292C2314yes—
113#14556550—22no—
114#14556550C2314yes—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73—21no—
119C2×C4⋊Dic73—22no—
120C2×C4⋊Dic73C2311yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2311yescharacteristic
125C2×C4⋊Dic73C2311yescharacteristic
126C2×C4⋊Dic73C2314yes—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007—21no—
132C2×#11924007—21no—
133C2×C22⋊Dic73—21no—
134C2×C22⋊Dic73—21no—
135C2×#11924005—21no—
136C2×#11924005—21no—
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×C4×Dic73—21no—
140C2×C4×Dic73—21no—
141#14556525C2314yes—
142#14556525C2314yes—
143#14556525C2314yes—
144#14556525C2314yes—
145#14556525C2314yes—
146#14556525C2314yes—
147#14556523C2314yes—
148#14556523C2314yes—
149#14556516C2314yes—
150#14556516C2314yes—
151#14556516C2314yes—
152#14556516C2314yes—
153#14556513C2314yes—
154#14556513C2314yes—
155#14556513C2314yes—
156#14556513C2314yes—
157C23×C4×C73C2311yescharacteristic
158C22×C8×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162#117×C73D414yes—
163#117×C73C2314yes—
164C2×C4⋊C4×C73D411yescharacteristic
165C2×C4⋊C4×C73D411yescharacteristic
166C2×C22⋊C4×C73D411yescharacteristic
167C2×C22⋊C4×C73D411yescharacteristic
168C2×C42×C73C2311yescharacteristic
169C2×C42×C73C2311yescharacteristic
170C4⋊C8×C73C2314yes—
171C4⋊C8×C73C2314yes—
172C22⋊C8×C73C2314yes—
173C22⋊C8×C73C2314yes—
174#97×C73C2314yes—
175C4×C8×C73C2314yes—
176C23×D73—21no—
177C2×Dic146—22no—
178C2×Dic146—22no—
179C2×Dic146—21no—
180C2×Dic146—24no—
181C2×Dic146—24no—
182C2×Dic146—24no—
183C2×Dic146—82no—
184C2×Dic146—82no—
185C2×Dic146—82no—
186C2×Dic146C2412yes—
187C2×D292—22no—
188C2×D292—22no—
189C2×D292—21no—
190C2×D292C2412yes—
191C2×C22⋊D73—24no—
192C2×C22⋊D73—82no—
193C22×Dic73—21no—
194C22×Dic73—21no—
195C22×Dic73—21no—
196C22×Dic73—21no—
197C22×Dic73—21no—
198C22×Dic73—21no—
199C22×Dic73—21no—
200C22×Dic73—24no—
201C22×Dic73—82no—
202C2×C4×D73—24no—
203C2×C4×D73—82no—
204C4⋊Dic73—24no—
205C4⋊Dic73—21no—
206C4⋊Dic73—21no—
207C4⋊Dic73—24no—
208C4⋊Dic73—24no—
209C4⋊Dic73—24no—
210C4⋊Dic73—21no—
211C4⋊Dic73—21no—
212C4⋊Dic73—21no—
213C4⋊Dic73—21no—
214C4⋊Dic73C2412yes—
215C4⋊Dic73C2412yes—
216C4⋊Dic73C2412yes—
217C4⋊Dic73C2412yes—
218C4⋊Dic73C2412yes—
219C4⋊Dic73C2412yes—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224#11924007—24no—
225#11924007—24no—
226C22⋊Dic73—24no—
227C22⋊Dic73—24no—
228#11924005—24no—
229#11924005—24no—
230#11924005—24no—
231#11924005—24no—
232C4×Dic73—24no—
233C4×Dic73—24no—
234C24×C73C2×D411yescharacteristic
235C22×C4×C73—22no—
236C22×C4×C73—22no—
237C22×C4×C73C2×D411yescharacteristic
238C22×C4×C73C2×D411yescharacteristic
239C22×C4×C73C2×D411yescharacteristic
240C22×C4×C73C2×D411yescharacteristic
241C22×C4×C73C2×D411yescharacteristic
242C22×C4×C73C2×D412yes—
243C22×C4×C73C2412yes—
244C22×C4×C73C2411yescharacteristic
245C2×C8×C73—22no—
246C2×C8×C73—22no—
247C2×C8×C73—22no—
248C2×C8×C73—22no—
249C2×C8×C73C2412yes—
250C2×C8×C73C2412yes—
251C2×C8×C73C2412yes—
252C2×C8×C73C2412yes—
253C4⋊C4×C73C2×D414yes—
254C4⋊C4×C73C2×D414yes—
255C22⋊C4×C73C2×D414yes—
256C22⋊C4×C73C2×D414yes—
257C42×C73C2×D412yes—
258C42×C73C2×D412yes—
259C42×C73C2412yes—
260C42×C73C2412yes—
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—
270C2×C4×C73—22no—
271C2×C4×C73—22no—
272C2×C4×C73—22no—
273C2×C4×C73—22no—
274C2×C4×C73—22no—
275C2×C4×C73—24no—
276C2×C4×C73—22no—
277C2×C4×C73—22no—
278C2×C4×C73C22×D412yes—
279C2×C4×C73C22×D412yes—
280C2×C4×C73C22×D412yes—
281C2×C4×C73C22×D412yes—
282C2×C4×C73C22×D412yes—
283C2×C4×C73C22×D411yescharacteristic
284C2×C4×C732−1+412yes—
285C2×C4×C732−1+412yes—
286C2×C4×C73C2511yescharacteristic
287C22⋊D73—84no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73—42no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—84no—
303D292—22no—
304D292—22no—
305D292—42no—
306C4×D73—84no—
307Dic146—22no—
308Dic146—22no—
309Dic146—42no—
310Dic146—84no—
311Dic146—84no—
312Dic146—84no—
313C8×C73—22no—
314C8×C73—22no—
315C8×C73—22no—
316C8×C73—22no—
317C22×C73—22no—
318C22×C73—22no—
319C22×C73—22no—
320C22×C73—44no—
321C22×C73#53612yes—
322C22×C73#57612yes—
323C22×C73#57812yes—
324C22×C73C23×D411yescharacteristic
325C2×D73—42no—
326C2×D73—42no—
327C2×D73—42no—
328C2×D73—84no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—22no—
332C4×C73—22no—
333C4×C73—22no—
334C4×C73#53612yes—
335C4×C73C2×2−1+411yescharacteristic
336C4×C73C2×2−1+411yescharacteristic
337Dic73—42no—
338Dic73—42no—
339Dic73—42no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73—42no—
344C2×#3243—731nomaximal, Sylow
345C2×C73—42no—
346C2×C73#324314yescomplemented
347C2×C73C2×#53611yescharacteristic
348C2×C73C2×#57611yescharacteristic
349C2×C73C2×#57811yescharacteristic
350D73—82no—
351C2×#544—731no—
352C2×#542—731no—
353#3243—7316no—
354C2×#501—731no—
355C2×#500—731no—
356C2×#489—731no—
357C2×#488—731no—
358C2×#484—731no—
359C2×#485—731no—
360C2×#482—731no—
361C2×#480—731no—
362C2×#479—731no—
363C2×#477—731no—
364C2×#478—731no—
365C2×#474—731no—
366C2×#433D7311yescharacteristic, complemented
367C73C2×#324311yescharacteristic, complemented, Sylow
368#544—738no—
369#544—1464no—
370#542—738no—
371#542—1464no—
372C2×C4⋊Q8—731no—
373C2×C4⋊Q8—731no—
374C2×C4⋊Q8—731no—
375C2×C4⋊Q8—1461no—
376C2×#126—1461no—
377C2×#125—731no—
378C2×#125—731no—
379C2×#125—1461no—
380C2×#124—731no—
381C2×#124—1461no—
382C2×#123—1461no—
383C2×C22⋊Q8—731no—
384C2×C22⋊Q8—1461no—
385C2×C22⋊Q8—1461no—
386C2×C22⋊Q8—1461no—
387C2×#121—731no—
388C2×C4×Q8—731no—
389C2×C4×D4—731no—
390C2×#117—731no—
391C2×#117C2×D7311yescharacteristic
392C22×C4⋊C4—731no—
393#501—738no—
394#500—738no—
395#489—738no—
396#488—738no—
397#485—738no—
398#484—738no—
399#482—738no—
400#480—738no—
401#479—738no—
402#478—738no—
403#477—738no—
404#474—738no—
405#433C2×D7318yescomplemented
406C2×#107—731no—
407C2×#107—731no—
408C2×#107—731no—
409C2×#107—731no—
410C2×#107—731no—
411C2×#107—731no—
412C2×#106—731no—
413C2×#106—731no—
414C2×C4⋊C8C2×D7311yescharacteristic
415C2×C4⋊C8C2×D7311yescharacteristic
416C2×#103—731no—
417C2×#103—731no—
418C2×#103—731no—
419C2×#103—731no—
420C2×#102—731no—
421C2×#102—731no—
422C2×#102—731no—
423C2×#102—731no—
424C2×C22⋊C8C2×D7311yescharacteristic
425C2×C22⋊C8C2×D7311yescharacteristic
426C2×#97C2×D7311yescharacteristic
427C2×C4×C8C2×D7311yescharacteristic
428C22×Q8—731no—
429C22×Q8—1461no—
430C22×Q8—1461no—
431C22×Q8—1461no—
432C22×D4—731no—
433C22×D4—1461no—
434C23×C4—1461no—
435C23×C4—1461no—
436C23×C4C22×D7311yescharacteristic
437C22×C8C22×D7311yescharacteristic
438C22×C8C22×D7311yescharacteristic
439C22×C8C22×D7311yescharacteristic
440C22×C8C22×D7311yescharacteristic
441C4⋊Q8—734no—
442C4⋊Q8—734no—
443C4⋊Q8—734no—
444C4⋊Q8—1468no—
445C4⋊Q8—1462no—
446C4⋊Q8—1462no—
447C4⋊Q8—1462no—
448#126—1468no—
449#125—734no—
450#125—734no—
451#125—1468no—
452#125—1462no—
453#125—1462no—
454#124—734no—
455#124—1468no—
456#124—1462no—
457#123—1468no—
458C22⋊Q8—734no—
459C22⋊Q8—1462no—
460C22⋊Q8—1468no—
461C22⋊Q8—1468no—
462C22⋊Q8—1468no—
463#121—734no—
464#121—1462no—
465C4×Q8—734no—
466C4×Q8—1462no—
467C4×D4—734no—
468C4×D4—1462no—
469#117—734no—
470#117—1462no—
471#117D29214yes—
472#117C22×D7314yes—
473C2×C4⋊C4—731no—
474C2×C4⋊C4—731no—
475C2×C4⋊C4—734no—
476C2×C4⋊C4—731no—
477C2×C4⋊C4—731no—
478C2×C4⋊C4—731no—
479C2×C4⋊C4—731no—
480C2×C4⋊C4—1461no—
481C2×C4⋊C4—1462no—
482C2×C4⋊C4—1461no—
483C2×C4⋊C4—1461no—
484C2×C4⋊C4—1461no—
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⋊C4D29211yescharacteristic
492C2×C4⋊C4D29211yescharacteristic
493C2×C22⋊C4—1461no—
494C2×C22⋊C4—1461no—
495C2×C22⋊C4—1461no—
496C2×C22⋊C4—1461no—
497C2×C22⋊C4—1461no—
498C2×C22⋊C4—1461no—
499C2×C22⋊C4D29211yescharacteristic
500C2×C22⋊C4D29211yescharacteristic
501C2×C42—1461no—
502C2×C42—1461no—
503C2×C42C22×D7311yescharacteristic
504C2×C42C22×D7311yescharacteristic
505#107—734no—
506#107—734no—
507#107—734no—
508#107—734no—
509#107—734no—
510#107—734no—
511#106—734no—
512#106—734no—
513C4⋊C8C22×D7314yes—
514C4⋊C8C22×D7314yes—
515#103—734no—
516#103—734no—
517#103—734no—
518#103—734no—
519#102—734no—
520#102—734no—
521#102—734no—
522#102—734no—
523C22⋊C8C22×D7314yes—
524C22⋊C8C22×D7314yes—
525#97C22×D7314yes—
526C4×C8C22×D7314yes—
527C24—1461no—
528C24C2×D29211yescharacteristic
529C2×Q8—5842no—
530C2×Q8—5842no—
531C2×Q8—5842no—
532C2×Q8—732no—
533C2×Q8—1462no—
534C2×Q8—1462no—
535C2×Q8—1461no—
536C2×Q8—1464no—
537C2×Q8—1464no—
538C2×Q8—1464no—
539C2×D4—5842no—
540C2×D4—732no—
541C2×D4—1464no—
542C2×D4—1461no—
543C2×D4—1462no—
544C2×D4—1462no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—5842no—
548C22×C4—5842no—
549C22×C4—1461no—
550C22×C4—1461no—
551C22×C4—1461no—
552C22×C4—1461no—
553C22×C4—1461no—
554C22×C4—1461no—
555C22×C4—1461no—
556C22×C4—1464no—
557C22×C4—1464no—
558C22×C4C2×D29212yes—
559C22×C4C2×D29211yescharacteristic
560C22×C4C2×D29211yescharacteristic
561C22×C4C2×D29211yescharacteristic
562C22×C4C2×D29211yescharacteristic
563C22×C4C2×D29211yescharacteristic
564C22×C4C23×D7312yes—
565C22×C4C23×D7311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D7312yes—
571C2×C8C23×D7312yes—
572C2×C8C23×D7312yes—
573C2×C8C23×D7312yes—
574C4⋊C4—732no—
575C4⋊C4—732no—
576C4⋊C4—732no—
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—1461no—
588C4⋊C4—1461no—
589C4⋊C4—1461no—
590C4⋊C4—1461no—
591C4⋊C4—1461no—
592C4⋊C4—1461no—
593C4⋊C4—1464no—
594C4⋊C4—1464no—
595C4⋊C4—1464no—
596C4⋊C4C2×D29214yes—
597C4⋊C4C2×D29214yes—
598C22⋊C4—1464no—
599C22⋊C4—1464no—
600C22⋊C4—1464no—
601C22⋊C4—1464no—
602C22⋊C4—1464no—
603C22⋊C4—1464no—
604C22⋊C4C2×D29214yes—
605C22⋊C4C2×D29214yes—
606C42—1464no—
607C42—1464no—
608C42C2×D29212yes—
609C42C2×D29212yes—
610C42C23×D7312yes—
611C42C23×D7312yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—2922no—
616C23—2922no—
617C23—2922no—
618C23—1462no—
619C23C22×D29212yes—
620C23C22×D29211yescharacteristic
621Q8—2922no—
622Q8—5844no—
623Q8—5844no—
624Q8—5844no—
625Q8—1462no—
626Q8—1462no—
627D4—2922no—
628D4—5844no—
629D4—1462no—
630D4—1462no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—2922no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—2922no—
643C2×C4—2922no—
644C2×C4—2922no—
645C2×C4—2922no—
646C2×C4—5844no—
647C2×C4—5844no—
648C2×C4—1462no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4C22×D29212yes—
656C2×C4C22×D29212yes—
657C2×C4C22×D29212yes—
658C2×C4C22×D29212yes—
659C2×C4C22×D29212yes—
660C2×C4C22×D29211yescharacteristic
661C2×C4#1455663812yes—
662C2×C4#1455663812yes—
663C2×C4C24×D7311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—2922no—
673C22—2922no—
674C22—2922no—
675C22—5844no—
676C22#1798916312yes—
677C22#1798939212yes—
678C22#1798940412yes—
679C22C23×D29211yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—2922no—
689C4—2922no—
690C4—2922no—
691C4—2922no—
692C4#1798916312yes—
693C4C2×#1455663811yescharacteristic
694C4C2×#1455663811yescharacteristic
695C2—42no—
696C2—5842no—
697C2#2262121614yesdirect product factor
698C2C2×#1798916311yescharacteristic
699C2C2×#1798939211yescharacteristic
700C2C2×#1798940411yescharacteristic
subgroupG/H
centerC23C22×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#433×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
hypercenterC2×#433D73
hypocenterC73C2×#3243
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#17989215C2semidirect
3. #22621216C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988992C2semidirect
6. C2×#17988947C2semidirect
7. C2×#17988942C2semidirect
8. C2×#17988923C2semidirect
9. C2×#17988929C2semidirect
12. C2×#17988895C2semidirect
13. C2×#17988883C2semidirect
14. C2×#17988888C2semidirect
15. C2×#17988868C2semidirect
16. C2×#433×C73C2semidirect
18. #17989215C22semidirect
41. #17988996C22semidirect
42. #17988992C22semidirect
43. #17988947C22semidirect
44. #17988942C22semidirect
45. #17988929C22semidirect
46. #17988923C22semidirect
49. #17988895C22semidirect
50. #17988888C22semidirect
51. #17988883C22semidirect
52. #17988868C22semidirect
70. #433×C73C22semidirect
346. C2×C73#3243semidirect
366. C2×#433D73semidirect
367. C73C2×#3243semidirect
405. #433C2×D73semidirect
697. C2#22621216direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892152
C2×#179892082
#226212162
C2×#179889962
C2×#179889922
C2×#179889472
C2×#179889422
C2×#179889232
C2×#179889292
C2×#179889122
C2×#179889012
C2×#179888952
C2×#179888832
C2×#179888882
C2×#179888682
C2×#433×C732
C2×#324373