Finite Group Databasebeta

← C2×#22621384 #33958940

Subgroups — C2×#22621384 #33958940

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989200C211yesmaximal, characteristic
2C2×#17989195C211yesmaximal, characteristic
3#22621384C2116yesmaximal, direct product factor
4C2×#17988897C211yesmaximal, characteristic, complemented
5C2×#17988893C211yesmaximal, characteristic, complemented
6C2×#17988891C211yesmaximal, characteristic, complemented
7C2×#17988846C211yesmaximal, characteristic
8C2×#17988844C211yesmaximal, characteristic
9C2×#17988829C211yesmaximal, characteristic
10C2×#17988827C211yesmaximal, characteristic
11C2×#17988798C211yesmaximal, characteristic, complemented
12C2×#17988797C211yesmaximal, characteristic, complemented
13C2×#17988796C211yesmaximal, characteristic, complemented
14C2×#17988796C211yesmaximal, characteristic, complemented
15C2×#17988612C211yesmaximal, characteristic
16C2×#479×C73C211yesmaximal, characteristic, complemented
17C22×Dic292C2211yescharacteristic
18C22×Dic292C2211yescharacteristic
19C22×#11924018C2211yescharacteristic
20C22×#11924018C2211yescharacteristic
21C22×#11924011C2211yescharacteristic
22C22×C8×D73C2211yescharacteristic
23#17989200—24no—
24#17989200C2218yes—
25#17989195—24no—
26#17989195C2218yes—
27C2×#14556591C2211yescharacteristic
28C2×#14556589C2211yescharacteristic
29C2×#14556586—21no—
30C2×#14556586—21no—
31C2×#14556586—21no—
32C2×#14556585—21no—
33C2×#14556583—21no—
34C2×#14556582—21no—
35C2×#14556582—21no—
36C2×#14556582C2211yescharacteristic
37C2×#14556581—21no—
38C2×#14556571C2211yescharacteristic
39C2×#14556571C2211yescharacteristic
40C2×#14556571C2211yescharacteristic
41C2×#14556567C2211yescharacteristic
42C2×C4×Dic146C2211yescharacteristic
43C2×#14556556C2211yescharacteristic
44C2×#14556556C2211yescharacteristic
45C2×#14556548C2211yescharacteristic
46#17988897C2218yescomplemented
47#17988893C2218yescomplemented
48#17988891C2218yescomplemented
49#17988846C2218yes—
50#17988844C2218yes—
51#17988829C2218yes—
52#17988827C2218yes—
53#17988798C2218yescomplemented
54#17988797C2218yescomplemented
55#17988796C2218yescomplemented
56#17988796C2218yescomplemented
57C2×#14556524C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59#17988612C2218yes—
60C2×C4⋊#10596831C2211yescharacteristic
61C2×#14556520C2211yescharacteristic
62C2×#14556520C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556516C2211yescharacteristic
65C2×#14556514C2211yescharacteristic
66C2×#14556514C2211yescharacteristic
67C2×#14556514C2211yescharacteristic
68C2×#14556514C2211yescharacteristic
69C2×#125×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71#479×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146C2311yescharacteristic
78C22×Dic146C2311yescharacteristic
79C22×Dic146C2311yescharacteristic
80C22×C4×D73C2311yescharacteristic
81C2×Dic292—42no—
82C2×Dic292—42no—
83C2×Dic292C2314yes—
84C2×Dic292C2314yes—
85C2×#11924018—42no—
86C2×#11924018—42no—
87C2×#11924018C2314yes—
88C2×#11924018C2314yes—
89C2×#11924011—42no—
90C2×#11924011C2314yes—
91C22×#10596831C2311yescharacteristic
92C22×#10596831C2311yescharacteristic
93C2×C8×D73—42no—
94C2×C8×D73C2314yes—
95#14556591—22no—
96#14556591C2314yes—
97#14556589—22no—
98#14556589C2314yes—
99#14556586—28no—
100#14556586—28no—
101#14556586—28no—
102#14556585—28no—
103#14556583—28no—
104#14556582—28no—
105#14556582—28no—
106#14556582—22no—
107#14556582C2314yes—
108#14556581—28no—
109#14556571—22no—
110#14556571—22no—
111#14556571—22no—
112#14556571C2314yes—
113#14556571C2314yes—
114#14556571C2314yes—
115#14556567—22no—
116#14556567C2314yes—
117C4×Dic146—22no—
118C4×Dic146C2314yes—
119#14556556—22no—
120#14556556—22no—
121#14556556C2314yes—
122#14556556C2314yes—
123#14556548D414yes—
124#14556548C2314yes—
125C2×C4⋊Dic73—21no—
126C2×C4⋊Dic73—21no—
127C2×C4⋊Dic73—21no—
128C2×C4⋊Dic73—21no—
129C2×C4⋊Dic73—21no—
130C2×C4⋊Dic73—21no—
131C2×C4⋊Dic73C2311yescharacteristic
132C2×#11924007—21no—
133C2×#11924007—21no—
134C2×#11924007—21no—
135C2×#11924007—21no—
136C2×#11924007—21no—
137C2×#11924007—21no—
138C2×#11924007—21no—
139C2×#11924007D411yescharacteristic
140C2×#11924007D411yescharacteristic
141C2×#11924005—21no—
142C2×#11924005—21no—
143C2×#11924005—21no—
144C2×#11924005—21no—
145C2×#11924005D411yescharacteristic
146C2×#11924005D411yescharacteristic
147C2×C4×Dic73—21no—
148C2×C4×Dic73—21no—
149C2×C4×Dic73—21no—
150C2×C4×Dic73C2311yescharacteristic
151#14556524C2314yes—
152#14556522C2314yes—
153C4⋊#10596831C2314yes—
154#14556520C2314yes—
155#14556520C2314yes—
156#14556516C2314yes—
157#14556516C2314yes—
158#14556514C2314yes—
159#14556514C2314yes—
160#14556514C2314yes—
161#14556514C2314yes—
162C22×Q8×C73C2311yescharacteristic
163C22×C8×C73C2311yescharacteristic
164C22×C8×C73C2311yescharacteristic
165#125×C73—22no—
166#125×C73C2314yes—
167C4×Q8×C73—22no—
168C4×Q8×C73C2314yes—
169C2×C4⋊C4×C73—21no—
170C2×C4⋊C4×C73—21no—
171C2×C4⋊C4×C73—21no—
172C2×C4⋊C4×C73C2311yescharacteristic
173C2×C4⋊C4×C73C2311yescharacteristic
174C2×C4⋊C4×C73C2311yescharacteristic
175C2×C42×C73—21no—
176C2×C42×C73C2311yescharacteristic
177#107×C73C2314yes—
178#106×C73C2314yes—
179C4⋊C8×C73C2314yes—
180#103×C73C2314yes—
181#103×C73C2314yes—
182C23×D73C2×D411yescharacteristic
183C2×Dic146—22no—
184C2×Dic146—22no—
185C2×Dic146—22no—
186C2×Dic146—22no—
187C2×Dic146—22no—
188C2×Dic146—22no—
189C2×Dic146—21no—
190C2×Dic146—21no—
191C2×Dic146—21no—
192C2×Dic146C2412yes—
193C2×Dic146C2412yes—
194C2×Dic146C2412yes—
195C22×Dic73—21no—
196C22×Dic73—21no—
197C22×Dic73—21no—
198C22×Dic73—21no—
199C22×Dic73C2×D411yescharacteristic
200C22×Dic73C2×D411yescharacteristic
201C22×Dic73C2×D411yescharacteristic
202C2×C4×D73—22no—
203C2×C4×D73—22no—
204C2×C4×D73C2×D412yes—
205C2×C4×D73C2412yes—
206Dic292—44no—
207Dic292—44no—
208#11924018—44no—
209#11924018—44no—
210#11924011—44no—
211C2×#10596831—22no—
212C2×#10596831—22no—
213C2×#10596831C2412yes—
214C2×#10596831C2412yes—
215C8×D73—44no—
216C4⋊Dic73—24no—
217C4⋊Dic73—24no—
218C4⋊Dic73—21no—
219C4⋊Dic73—24no—
220C4⋊Dic73—24no—
221C4⋊Dic73—24no—
222C4⋊Dic73—24no—
223C4⋊Dic73C2412yes—
224#11924007—24no—
225#11924007—24no—
226#11924007—24no—
227#11924007—24no—
228#11924007—24no—
229#11924007—24no—
230#11924007—24no—
231#11924007C2×D414yes—
232#11924007C2×D414yes—
233#11924005—24no—
234#11924005—24no—
235#11924005—24no—
236#11924005—24no—
237#11924005C2×D414yes—
238#11924005C2×D414yes—
239C4×Dic73—24no—
240C4×Dic73—24no—
241C4×Dic73—24no—
242C4×Dic73C2×D412yes—
243C4×Dic73C2412yes—
244C2×Q8×C73—21no—
245C2×Q8×C73—22no—
246C2×Q8×C73—22no—
247C2×Q8×C73C2412yes—
248C22×C4×C73—21no—
249C22×C4×C73—21no—
250C22×C4×C73—21no—
251C22×C4×C73—21no—
252C22×C4×C73C2×D411yescharacteristic
253C22×C4×C73C2×D411yescharacteristic
254C22×C4×C73C2411yescharacteristic
255C2×C8×C73—22no—
256C2×C8×C73—22no—
257C2×C8×C73C2412yes—
258C2×C8×C73C2412yes—
259C4⋊C4×C73—24no—
260C4⋊C4×C73—24no—
261C4⋊C4×C73—24no—
262C4⋊C4×C73—21no—
263C4⋊C4×C73—21no—
264C4⋊C4×C73—21no—
265C4⋊C4×C73C2412yes—
266C4⋊C4×C73C2412yes—
267C4⋊C4×C73C2412yes—
268C42×C73—24no—
269C42×C73C2×D412yes—
270C42×C73C2412yes—
271C23×C73C22×D411yescharacteristic
272C22×D73—22no—
273C22×D73—22no—
274C22×D73—22no—
275C22×D73C22×D412yes—
276Q8×C73—22no—
277Q8×C73—22no—
278Q8×C73—42no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—22no—
282C2×C4×C73—22no—
283C2×C4×C73—22no—
284C2×C4×C73—22no—
285C2×C4×C73—42no—
286C2×C4×C73—42no—
287C2×C4×C73—42no—
288C2×C4×C73—42no—
289C2×C4×C73C22×D412yes—
290C2×C4×C73C22×D412yes—
291C2×C4×C73C22×D411yescharacteristic
292C2×C4×C73H(5,𝔽2)12yes—
293C2×C4×C732−1+412yes—
294C2×C4×C73C2511yescharacteristic
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—22no—
300C2×Dic73—22no—
301C2×Dic73—22no—
302C2×Dic73—42no—
303C2×Dic73—42no—
304C2×Dic73—42no—
305C2×Dic73—42no—
306C2×Dic73C22×D412yes—
307C2×Dic73C22×D412yes—
308C2×Dic73C22×D412yes—
309C4×D73—24no—
310C4×D73—22no—
311C4×D73—22no—
312Dic146—22no—
313Dic146—22no—
314Dic146—22no—
315Dic146—22no—
316Dic146—22no—
317Dic146—22no—
318Dic146—42no—
319Dic146—42no—
320Dic146—42no—
321C8×C73—22no—
322C8×C73—22no—
323#10596831—22no—
324#10596831—22no—
325C22×C73#53712yes—
326C22×C73#57812yes—
327C22×C73#57812yes—
328C22×C73C23×D411yescharacteristic
329C2×D73—22no—
330C2×D73—22no—
331C2×D73—22no—
332C2×D73—44no—
333C4×C73—22no—
334C4×C73—22no—
335C4×C73—42no—
336C4×C73—42no—
337C4×C73—42no—
338C4×C73—42no—
339C4×C73#53712yes—
340C4×C73C2×H(5,𝔽2)11yescharacteristic
341C4×C73C2×2−1+411yescharacteristic
342Dic73—22no—
343Dic73—22no—
344Dic73—22no—
345Dic73—42no—
346Dic73—42no—
347Dic73—42no—
348Dic73—42no—
349C2×#3261—731nomaximal, Sylow
350C2×C73#326114yescomplemented
351C2×C73C2×#53711yescharacteristic
352C2×C73C2×#57811yescharacteristic
353C2×C73C2×#57811yescharacteristic
354D73—42no—
355C2×#541—731no—
356C2×#541—731no—
357#3261—7316no—
358C2×#479—731no—
359C2×#479—731no—
360C2×#479—731no—
361C2×#479D7311yescharacteristic, complemented
362C2×#470—731no—
363C2×#470—731no—
364C2×#467—731no—
365C2×#467—731no—
366C2×#462—731no—
367C2×#462—731no—
368C2×#462—731no—
369C2×#462—731no—
370C2×#424—731no—
371C73C2×#326111yescharacteristic, complemented, Sylow
372C22×Q16—731no—
373C22×Q16—731no—
374C22×Q16—731no—
375C22×Q16—731no—
376C22×M16—731no—
377C23×C8—731no—
378#541—738no—
379#541—738no—
380#541—1464no—
381#541—1464no—
382C2×C4⋊Q8—731no—
383C2×C4⋊Q8—731no—
384C2×#126—1461no—
385C2×#126—1461no—
386C2×#126—1461no—
387C2×#126—1461no—
388C2×#125—731no—
389C2×#125—1461no—
390C2×#125—1461no—
391C2×#125—1461no—
392C2×#125—1461no—
393C2×#125C2×D7311yescharacteristic
394C2×C22⋊Q8—731no—
395C2×C22⋊Q8—731no—
396C2×C22⋊Q8—731no—
397C2×C22⋊Q8—731no—
398C2×C4×Q8—731no—
399C2×C4×Q8—731no—
400C2×C4×Q8—731no—
401C2×C4×Q8C2×D7311yescharacteristic
402C2×#117—731no—
403#479—738no—
404#479—738no—
405#479—738no—
406#479C2×D7318yescomplemented
407#470—738no—
408#470—738no—
409#467—738no—
410#467—738no—
411#462—738no—
412#462—738no—
413#462—738no—
414#462—738no—
415C2×#107—731no—
416C2×#107C2×D7311yescharacteristic
417C2×#106—731no—
418C2×#106C2×D7311yescharacteristic
419#424—738no—
420C2×C4⋊C8—731no—
421C2×C4⋊C8—731no—
422C2×C4⋊C8—731no—
423C2×C4⋊C8C2×D7311yescharacteristic
424C2×#103—731no—
425C2×#103—731no—
426C2×#103—731no—
427C2×#103—731no—
428C2×#103—731no—
429C2×#103—731no—
430C2×#103C2×D7311yescharacteristic
431C2×#103C2×D7311yescharacteristic
432C22×Q8—731no—
433C22×Q8—731no—
434C22×Q8—731no—
435C22×Q8C22×D7311yescharacteristic
436C23×C4—731no—
437C2×Q16—2922no—
438C2×Q16—2922no—
439C2×Q16—2922no—
440C2×Q16—2922no—
441C2×Q16—734no—
442C2×Q16—734no—
443C2×Q16—734no—
444C2×Q16—734no—
445C2×M16—2922no—
446C2×M16—734no—
447C22×C8—2922no—
448C22×C8—734no—
449C22×C8—731no—
450C22×C8—731no—
451C22×C8C22×D7311yescharacteristic
452C22×C8C22×D7311yescharacteristic
453C4⋊Q8—734no—
454C4⋊Q8—734no—
455C4⋊Q8—1462no—
456C4⋊Q8—1462no—
457#126—1468no—
458#126—1468no—
459#126—1468no—
460#126—1468no—
461#125—22no—
462#125—734no—
463#125—1468no—
464#125—1462no—
465#125—1468no—
466#125—1468no—
467#125—1468no—
468#125C22×D7314yes—
469C22⋊Q8—734no—
470C22⋊Q8—734no—
471C22⋊Q8—734no—
472C22⋊Q8—734no—
473C22⋊Q8—1462no—
474C22⋊Q8—1462no—
475C22⋊Q8—1462no—
476C22⋊Q8—1462no—
477C4×Q8—22no—
478C4×Q8—734no—
479C4×Q8—734no—
480C4×Q8—734no—
481C4×Q8—1462no—
482C4×Q8—1462no—
483C4×Q8—1462no—
484C4×Q8C22×D7314yes—
485#117—734no—
486#117—734no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—731no—
491C2×C4⋊C4—731no—
492C2×C4⋊C4—731no—
493C2×C4⋊C4—1461no—
494C2×C4⋊C4—1461no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4—1461no—
499C2×C4⋊C4—1461no—
500C2×C4⋊C4—1461no—
501C2×C4⋊C4—1461no—
502C2×C4⋊C4—1461no—
503C2×C4⋊C4—1461no—
504C2×C4⋊C4—1461no—
505C2×C4⋊C4—1461no—
506C2×C4⋊C4C22×D7311yescharacteristic
507C2×C4⋊C4C22×D7311yescharacteristic
508C2×C4⋊C4C22×D7311yescharacteristic
509C2×C22⋊C4—731no—
510C2×C22⋊C4—731no—
511C2×C22⋊C4—1461no—
512C2×C22⋊C4—1461no—
513C2×C22⋊C4—1461no—
514C2×C22⋊C4—1461no—
515C2×C42—21no—
516C2×C42—731no—
517C2×C42—1461no—
518C2×C42—1461no—
519C2×C42—1461no—
520C2×C42C22×D7311yescharacteristic
521#107—734no—
522#107C22×D7314yes—
523#106—734no—
524#106C22×D7314yes—
525C4⋊C8—734no—
526C4⋊C8—734no—
527C4⋊C8—734no—
528C4⋊C8C22×D7314yes—
529#103—734no—
530#103—734no—
531#103—734no—
532#103—734no—
533#103—734no—
534#103—734no—
535#103C22×D7314yes—
536#103C22×D7314yes—
537C24—731no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—732no—
542C2×Q8—732no—
543C2×Q8—732no—
544C2×Q8—1462no—
545C2×Q8—1462no—
546C2×Q8—1462no—
547C2×Q8—1462no—
548C2×Q8—1462no—
549C2×Q8—1462no—
550C2×Q8—1461no—
551C2×Q8—1461no—
552C2×Q8—1461no—
553C2×Q8C23×D7312yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—731no—
559C22×C4—731no—
560C22×C4—731no—
561C22×C4—732no—
562C22×C4—732no—
563C22×C4—1461no—
564C22×C4—1461no—
565C22×C4—1461no—
566C22×C4—1461no—
567C22×C4—1462no—
568C22×C4—1462no—
569C22×C4D4×D7311yescharacteristic
570C22×C4D4×D7311yescharacteristic
571C22×C4C23×D7311yescharacteristic
572Q16—2924no—
573Q16—2924no—
574Q16—2924no—
575Q16—2924no—
576M16—2924no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—2924no—
580C2×C8—732no—
581C2×C8—732no—
582C2×C8—1462no—
583C2×C8—1462no—
584C2×C8C23×D7312yes—
585C2×C8C23×D7312yes—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—734no—
593C4⋊C4—734no—
594C4⋊C4—732no—
595C4⋊C4—1464no—
596C4⋊C4—1464no—
597C4⋊C4—1464no—
598C4⋊C4—1464no—
599C4⋊C4—1464no—
600C4⋊C4—1464no—
601C4⋊C4—1464no—
602C4⋊C4—1464no—
603C4⋊C4—1464no—
604C4⋊C4—1464no—
605C4⋊C4—1464no—
606C4⋊C4—1461no—
607C4⋊C4—1464no—
608C4⋊C4—1464no—
609C4⋊C4C23×D7312yes—
610C4⋊C4C23×D7312yes—
611C4⋊C4C23×D7312yes—
612C22⋊C4—734no—
613C22⋊C4—734no—
614C22⋊C4—1464no—
615C22⋊C4—1464no—
616C22⋊C4—1464no—
617C22⋊C4—1464no—
618C42—24no—
619C42—732no—
620C42—732no—
621C42—1464no—
622C42—1464no—
623C42—1464no—
624C42D4×D7312yes—
625C42C23×D7312yes—
626C23—732no—
627C23—1462no—
628C23—1462no—
629C23—1462no—
630C23C2×D4×D7311yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—2922no—
635Q8—2922no—
636Q8—2922no—
637Q8—1462no—
638Q8—1462no—
639Q8—1462no—
640Q8—1462no—
641Q8—1462no—
642Q8—1462no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—2922no—
654C2×C4—2922no—
655C2×C4—2922no—
656C2×C4—2922no—
657C2×C4—732no—
658C2×C4—732no—
659C2×C4—732no—
660C2×C4—1462no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1462no—
664C2×C4—1462no—
665C2×C4—1462no—
666C2×C4—1462no—
667C2×C4—1462no—
668C2×C4—1462no—
669C2×C4—1464no—
670C2×C4C2×D4×D7312yes—
671C2×C4C2×D4×D7312yes—
672C2×C4C2×D4×D7311yescharacteristic
673C2×C4#1455663712yes—
674C2×C4#1455663912yes—
675C2×C4C24×D7311yescharacteristic
676C8—22no—
677C8—22no—
678C8—1462no—
679C8—1462no—
680C22—2924no—
681C22—1462no—
682C22—1462no—
683C22—1462no—
684C22#1798916712yes—
685C22#1798940112yes—
686C22#1798940312yes—
687C22C22×D4×D7311yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—2922no—
695C4—2922no—
696C4—2922no—
697C4—2922no—
698C4—1462no—
699C4—1462no—
700C4—1462no—
701C4#1798916712yes—
702C4C2×#1455663711yescharacteristic
703C4C2×#1455663911yescharacteristic
704C2—2922no—
705C2#2262138414yesdirect product factor
706C2C2×#1798916711yescharacteristic
707C2C2×#1798940111yescharacteristic
708C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#479×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#479D73
hypocenterC73C2×#3261
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #22621384C2direct (N × H)
4. C2×#17988897C2semidirect
5. C2×#17988893C2semidirect
6. C2×#17988891C2semidirect
11. C2×#17988798C2semidirect
12. C2×#17988797C2semidirect
13. C2×#17988796C2semidirect
14. C2×#17988796C2semidirect
16. C2×#479×C73C2semidirect
46. #17988897C22semidirect
47. #17988893C22semidirect
48. #17988891C22semidirect
53. #17988798C22semidirect
54. #17988797C22semidirect
55. #17988796C22semidirect
56. #17988796C22semidirect
71. #479×C73C22semidirect
350. C2×C73#3261semidirect
361. C2×#479D73semidirect
371. C73C2×#3261semidirect
406. #479C2×D73semidirect
705. C2#22621384direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892002
C2×#179891952
#226213842
C2×#179888972
C2×#179888932
C2×#179888912
C2×#179888462
C2×#179888442
C2×#179888292
C2×#179888272
C2×#179887982
C2×#179887972
C2×#179887962
C2×#179886122
C2×#479×C732
C2×#326173