Finite Group Databasebeta

← C2×#22623738 #33994166

Subgroups — C2×#22623738 #33994166

Order 18688.

6826 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623738C2132yesmaximal, direct product factor
2C2×Q8×Dic146C211yesmaximal, characteristic, complemented
3C2×#17989317C213yesmaximal, complemented
4C2×#17989315C213yesmaximal, complemented
5C2×#17989314C213yesmaximal, complemented
6C2×#17989314C213yesmaximal, complemented
7C2×#17989313C211yesmaximal, characteristic, complemented
8C2×#17989313C211yesmaximal, characteristic, complemented
9C2×#17989217C213yesmaximal
10C2×#17989214C213yesmaximal
11C2×#17989143C213yesmaximal
12C2×#17989141C213yesmaximal
13C2×#17989063C211yesmaximal, characteristic
14C2×#17989063C211yesmaximal, characteristic
15C2×C4×Q8×D73C211yesmaximal, characteristic
16C2×#557×C73C211yesmaximal, characteristic, complemented
17C22×Q8×D73C2211yescharacteristic
18Q8×Dic146C22116yescomplemented
19#17989317C22148yescomplemented
20#17989315C22148yescomplemented
21#17989314C22148yescomplemented
22#17989314C22148yescomplemented
23#17989313C22116yescomplemented
24#17989313C22116yescomplemented
25#17989217C22148yes—
26#17989214C22148yes—
27#17989143C22148yes—
28#17989141C22148yes—
29C2×#14556591C2213yes—
30C2×#14556590C2213yes—
31C2×#14556590C2213yes—
32C2×#14556590C2213yes—
33C2×#14556590C2216yes—
34C2×#14556590C2213yes—
35C2×#14556590C2213yes—
36C2×#14556589C2216yes—
37C2×#14556589C2213yes—
38C2×#14556583C2213yes—
39C2×#14556583C2213yes—
40C2×#14556582C2213yes—
41C2×#14556582C2213yes—
42C2×#14556581C2216yes—
43C2×#14556581C2213yes—
44C2×#14556581C2216yes—
45C2×#14556581C2213yes—
46C2×#14556571C2213yes—
47C2×#14556569C2216yes—
48C2×#14556569C2211yescharacteristic
49C2×#14556569C2213yes—
50C2×#14556567C2213yes—
51#17989063C22116yes—
52#17989063C22116yes—
53C2×Q8×Dic73C2211yescharacteristic
54C2×Q8×Dic73C2211yescharacteristic
55C2×Q8×Dic73C2211yescharacteristic
56C2×C4×Dic146C2213yes—
57C2×C4×Dic146C2213yes—
58C2×C4×Dic146C2213yes—
59C2×C4×Dic146C2213yes—
60C2×C4×Dic146C2213yes—
61C2×C4×Dic146C2213yes—
62C2×#14556556C2213yes—
63C2×#14556556C2216yes—
64C2×#14556556C2213yes—
65C2×#14556556C2213yes—
66C2×#14556556C2216yes—
67C4×Q8×D73C22116yes—
68C2×#14556549C2213yes—
69C2×#14556549C2213yes—
70C2×#14556548C2213yes—
71C2×#14556548C2213yes—
72C2×C4⋊C4×D73C2213yes—
73C2×C42×D73C2213yes—
74#557×C73C22116yescomplemented
75C2×C4⋊Q8×C73C2213yes—
76C2×#125×C73C2213yes—
77C2×#125×C73C2213yes—
78C2×C4×Q8×C73C2211yescharacteristic
79C2×C4×Q8×C73C2211yescharacteristic
80C2×C4×Q8×C73C2213yes—
81C2×C4×Q8×C73C2211yescharacteristic
82C22×Dic146C2313yes—
83C22×Dic146C2311yescharacteristic
84C22×Dic146C2313yes—
85C22×Dic146C2316yes—
86C22×Dic146C2313yes—
87C2×Q8×D73Q8116yescomplemented
88C2×Q8×D73C2318yes—
89C22×C4×D73C2311yescharacteristic
90C22×C4×D73C2313yes—
91C22×C4×D73C2313yes—
92#14556591C23124yes—
93#14556590C23124yes—
94#14556590C23124yes—
95#14556590C23124yes—
96#14556590C23124yes—
97#14556590C23124yes—
98#14556590C23148yes—
99#14556589C23124yes—
100#14556589C23148yes—
101#14556583C23124yes—
102#14556583C23124yes—
103#14556582C23124yes—
104#14556582C23124yes—
105#14556581C23124yes—
106#14556581C23124yes—
107#14556581C23148yes—
108#14556581C23148yes—
109#14556571C23124yes—
110#14556569C2318yes—
111#14556569C23124yes—
112#14556569C23148yes—
113#14556567C23124yes—
114Q8×Dic73C2318yes—
115Q8×Dic73C2318yes—
116Q8×Dic73C2318yes—
117C4×Dic146C23124yes—
118C4×Dic146C23124yes—
119C4×Dic146C23124yes—
120C4×Dic146C23124yes—
121C4×Dic146C23124yes—
122C4×Dic146C23124yes—
123#14556556C23148yes—
124#14556556C23148yes—
125#14556556C23124yes—
126#14556556C23124yes—
127#14556556C23124yes—
128#14556549C23124yes—
129#14556549C23124yes—
130#14556548C23124yes—
131#14556548C23124yes—
132C2×C4⋊Dic73C2313yes—
133C2×C4⋊Dic73C2313yes—
134C2×C4⋊Dic73C2313yes—
135C2×C4⋊Dic73C2313yes—
136C2×C4⋊Dic73C2313yes—
137C2×C4⋊Dic73C2313yes—
138C2×#11924007C2313yes—
139C2×#11924007C2311yescharacteristic
140C2×#11924007C2313yes—
141C2×#11924007C2313yes—
142C2×#11924007C2313yes—
143C2×#11924007C2316yes—
144C2×#11924007C2316yes—
145C2×#11924007C2313yes—
146C2×#11924007C2313yes—
147C2×#11924007C2313yes—
148C2×#11924007C2316yes—
149C2×#11924007C2313yes—
150C2×#11924007C2311yescharacteristic
151C4⋊C4×D73C23124yes—
152C2×#11924005C2311yescharacteristic
153C2×#11924005C2311yescharacteristic
154C2×#11924005C2313yes—
155C2×#11924005C2313yes—
156C2×C4×Dic73C2313yes—
157C2×C4×Dic73C2316yes—
158C2×C4×Dic73C2313yes—
159C2×C4×Dic73C2313yes—
160C2×C4×Dic73C2313yes—
161C2×C4×Dic73C2316yes—
162C2×C4×Dic73C2313yes—
163C42×D73C23124yes—
164C22×Q8×C73C2313yes—
165C22×Q8×C73C2311yescharacteristic
166C4⋊Q8×C73C23124yes—
167#125×C73C23124yes—
168#125×C73C23124yes—
169C4×Q8×C73C23124yes—
170C4×Q8×C73C2318yes—
171C4×Q8×C73C2318yes—
172C4×Q8×C73C2318yes—
173C2×C4⋊C4×C73C2313yes—
174C2×C4⋊C4×C73C2313yes—
175C2×C4⋊C4×C73C2313yes—
176C2×C4⋊C4×C73C2313yes—
177C2×C4⋊C4×C73C2316yes—
178C2×C4⋊C4×C73C2311yescharacteristic
179C2×C4⋊C4×C73C2313yes—
180C2×C42×C73C2313yes—
181C2×C42×C73C2313yes—
182C2×C42×C73C2313yes—
183C23×D73C2411yescharacteristic
184C2×Dic146—212no—
185C2×Dic146—24no—
186C2×Dic146—412no—
187C2×Dic146—46no—
188C2×Dic146C2×Q8124yes—
189C2×Dic146C24112yes—
190C2×Dic146C2414yes—
191C2×Dic146C24124yes—
192C2×Dic146C24112yes—
193C2×Dic146C24112yes—
194Q8×D73C2×Q8164yescomplemented
195C22×Dic73C2413yes—
196C22×Dic73C2411yescharacteristic
197C22×Dic73C2411yescharacteristic
198C22×Dic73C2413yes—
199C22×Dic73C2413yes—
200C22×Dic73C2413yes—
201C22×Dic73C2411yescharacteristic
202C2×C4×D73—24no—
203C2×C4×D73—46no—
204C2×C4×D73C2×Q8124yes—
205C2×C4×D73C2414yes—
206C2×C4×D73C24112yes—
207C2×C4×D73C24112yes—
208C4⋊Dic73C24112yes—
209C4⋊Dic73C24112yes—
210C4⋊Dic73C24112yes—
211C4⋊Dic73C24112yes—
212C4⋊Dic73C24112yes—
213C4⋊Dic73C24112yes—
214#11924007C24124yes—
215#11924007C24112yes—
216#11924007C24112yes—
217#11924007C24112yes—
218#11924007C24112yes—
219#11924007C24112yes—
220#11924007C24112yes—
221#11924007C24124yes—
222#11924007C24124yes—
223#11924007C2414yes—
224#11924007C2414yes—
225#11924007C24112yes—
226#11924007C24112yes—
227#11924005C2414yes—
228#11924005C2414yes—
229#11924005C24112yes—
230#11924005C24112yes—
231C4×Dic73C24112yes—
232C4×Dic73C24112yes—
233C4×Dic73C24112yes—
234C4×Dic73C24112yes—
235C4×Dic73C24112yes—
236C4×Dic73C24124yes—
237C4×Dic73C24124yes—
238C2×Q8×C73—46no—
239C2×Q8×C73C2×Q818yes—
240C2×Q8×C73C24112yes—
241C2×Q8×C73C2414yes—
242C22×C4×C73C2411yescharacteristic
243C22×C4×C73C2411yescharacteristic
244C22×C4×C73C2411yescharacteristic
245C22×C4×C73C2413yes—
246C22×C4×C73C2413yes—
247C22×C4×C73C2413yes—
248C22×C4×C73C2413yes—
249C4⋊C4×C73C2414yes—
250C4⋊C4×C73C24112yes—
251C4⋊C4×C73C24112yes—
252C4⋊C4×C73C24112yes—
253C4⋊C4×C73C24112yes—
254C4⋊C4×C73C24112yes—
255C4⋊C4×C73C24124yes—
256C42×C73C24112yes—
257C42×C73C24112yes—
258C42×C73C24112yes—
259C23×C73C2511yescharacteristic
260C22×D73—22no—
261C22×D73—22no—
262C22×D73C22×Q814yes—
263C22×D73C2512yes—
264Q8×C73—412no—
265Q8×C73C22×Q8116yes—
266C2×C4×C73—22no—
267C2×C4×C73—22no—
268C2×C4×C73—26no—
269C2×C4×C73—22no—
270C2×C4×C73—26no—
271C2×C4×C73—26no—
272C2×C4×C73C22×Q8112yes—
273C2×C4×C73C2512yes—
274C2×C4×C73C2512yes—
275C2×C4×C73C2512yes—
276C2×C4×C73C2516yes—
277C2×C4×C73C2516yes—
278C2×C4×C73C2516yes—
279C2×C4×C73C2516yes—
280C2×Dic73—26no—
281C2×Dic73—22no—
282C2×Dic73—26no—
283C2×Dic73—22no—
284C2×Dic73—26no—
285C2×Dic73C22×Q8112yes—
286C2×Dic732−1+414yes—
287C2×Dic73C2512yes—
288C2×Dic73C2516yes—
289C2×Dic73C2512yes—
290C2×Dic73C2516yes—
291C2×Dic73C2516yes—
292C2×Dic73C2516yes—
293C2×Dic73C2512yes—
294C4×D73—28no—
295C4×D73—412no—
296C4×D73C22×Q8148yes—
297Dic146—224no—
298Dic146—28no—
299Dic146—412no—
300Dic146—424no—
301Dic146C22×Q8148yes—
302C22×C73C23×Q812yes—
303C22×C73C2×2−1+412yes—
304C22×C73#58512yes—
305C22×C73C2611yescharacteristic
306C2×D73—22no—
307C2×D73—22no—
308C2×D73—28no—
309C2×D73C23×Q814yes—
310C4×C73—22no—
311C4×C73—26no—
312C4×C73—22no—
313C4×C73—26no—
314C4×C73—26no—
315C4×C73—22no—
316C4×C73C23×Q8112yes—
317Dic73—26no—
318Dic73—22no—
319Dic73—22no—
320Dic73—26no—
321Dic73—26no—
322Dic73C23×Q8112yes—
323Dic73C2×2−1+414yes—
324C2×#3502—731nomaximal, Sylow
325C2×C73#350214yescomplemented
326C2×C73C24×Q811yescharacteristic
327C2×C73C22×2−1+411yescharacteristic
328C2×C73C2×#58511yescharacteristic
329D73—24no—
330#3502—7332no—
331C2×Q82—733no—
332C2×Q82—731no—
333C2×#557—733no—
334C2×#557—733no—
335C2×#557—731no—
336C2×#557—731no—
337C2×#557—733no—
338C2×#557D7311yescharacteristic, complemented
339C2×#544—733no—
340C2×#544—733no—
341C2×#533—733no—
342C2×#533—733no—
343C2×#519—731no—
344C2×#519—731no—
345C22×C4×Q8—731no—
346C73C2×#350211yescharacteristic, complemented, Sylow
347C23×Q8—731no—
348Q82—7348no—
349Q82—7316no—
350#557—7348no—
351#557—7348no—
352#557—7316no—
353#557—7316no—
354#557—7348no—
355#557C2×D73116yescomplemented
356#544—7348no—
357#544—7348no—
358#533—7348no—
359#533—7348no—
360C2×C4⋊Q8—733no—
361C2×C4⋊Q8—736no—
362C2×C4⋊Q8—733no—
363C2×C4⋊Q8—733no—
364C2×C4⋊Q8—733no—
365C2×C4⋊Q8—736no—
366C2×C4⋊Q8—733no—
367C2×C4⋊Q8—733no—
368C2×C4⋊Q8—733no—
369C2×C4⋊Q8C2×D7313yes—
370C2×#125—733no—
371C2×#125—733no—
372C2×#125—736no—
373C2×#125—736no—
374C2×#125—733no—
375C2×#125—733no—
376C2×#125—733no—
377C2×#125—733no—
378C2×#125C2×D7313yes—
379C2×#125C2×D7313yes—
380C2×C22⋊Q8—733no—
381C2×C22⋊Q8—733no—
382C2×C22⋊Q8—731no—
383C2×C22⋊Q8—736no—
384C2×C22⋊Q8—733no—
385#519—7316no—
386#519—7316no—
387C2×C4×Q8—731no—
388C2×C4×Q8—731no—
389C2×C4×Q8—731no—
390C2×C4×Q8—7316no—
391C2×C4×Q8—733no—
392C2×C4×Q8—733no—
393C2×C4×Q8—733no—
394C2×C4×Q8—736no—
395C2×C4×Q8—736no—
396C2×C4×Q8—733no—
397C2×C4×Q8—733no—
398C2×C4×Q8—733no—
399C2×C4×Q8—733no—
400C2×C4×Q8—733no—
401C2×C4×Q8—733no—
402C2×C4×Q8C2×D7311yescharacteristic
403C2×C4×Q8C2×D7311yescharacteristic
404C2×C4×Q8C2×D7311yescharacteristic
405C2×C4×Q8C2×D7313yes—
406C2×#117—733no—
407C2×#117—733no—
408C2×#117—733no—
409C2×#117—733no—
410C22×C4⋊C4—733no—
411C22×C42—733no—
412C22×Q8—7316no—
413C22×Q8—738no—
414C22×Q8—733no—
415C22×Q8—736no—
416C22×Q8—733no—
417C22×Q8—733no—
418C22×Q8—731no—
419C22×Q8C22×D7313yes—
420C22×Q8C22×D7311yescharacteristic
421C23×C4—733no—
422C23×C4—733no—
423C23×C4—731no—
424C4⋊Q8—7324no—
425C4⋊Q8—7348no—
426C4⋊Q8—7324no—
427C4⋊Q8—7324no—
428C4⋊Q8—7324no—
429C4⋊Q8—7348no—
430C4⋊Q8—7324no—
431C4⋊Q8—7324no—
432C4⋊Q8—7324no—
433C4⋊Q8C22×D73124yes—
434#125—7324no—
435#125—7324no—
436#125—7348no—
437#125—7348no—
438#125—7324no—
439#125—7324no—
440#125—7324no—
441#125—7324no—
442#125C22×D73124yes—
443#125C22×D73124yes—
444C22⋊Q8—7324no—
445C22⋊Q8—7324no—
446C22⋊Q8—738no—
447C22⋊Q8—7348no—
448C22⋊Q8—7324no—
449C4×Q8—738no—
450C4×Q8—738no—
451C4×Q8—738no—
452C4×Q8—7324no—
453C4×Q8—7324no—
454C4×Q8—7324no—
455C4×Q8—7348no—
456C4×Q8—7348no—
457C4×Q8—7324no—
458C4×Q8—7324no—
459C4×Q8—7324no—
460C4×Q8—7324no—
461C4×Q8—7324no—
462C4×Q8—7324no—
463C4×Q8C22×D7318yes—
464C4×Q8C22×D7318yes—
465C4×Q8C22×D7318yes—
466C4×Q8C22×D73124yes—
467#117—7324no—
468#117—7324no—
469#117—7324no—
470#117—7324no—
471C2×C4⋊C4—736no—
472C2×C4⋊C4—733no—
473C2×C4⋊C4—733no—
474C2×C4⋊C4—733no—
475C2×C4⋊C4—733no—
476C2×C4⋊C4—733no—
477C2×C4⋊C4—733no—
478C2×C4⋊C4—733no—
479C2×C4⋊C4—733no—
480C2×C4⋊C4—731no—
481C2×C4⋊C4—733no—
482C2×C4⋊C4—731no—
483C2×C4⋊C4—736no—
484C2×C4⋊C4—733no—
485C2×C4⋊C4—736no—
486C2×C4⋊C4—733no—
487C2×C4⋊C4—733no—
488C2×C4⋊C4—733no—
489C2×C4⋊C4—733no—
490C2×C4⋊C4—7324no—
491C2×C4⋊C4C22×D7313yes—
492C2×C4⋊C4C22×D7313yes—
493C2×C4⋊C4C22×D7313yes—
494C2×C4⋊C4C22×D7313yes—
495C2×C4⋊C4C22×D7316yes—
496C2×C4⋊C4C22×D7311yescharacteristic
497C2×C4⋊C4C22×D7313yes—
498C2×C22⋊C4—733no—
499C2×C22⋊C4—731no—
500C2×C22⋊C4—733no—
501C2×C22⋊C4—731no—
502C2×C42—736no—
503C2×C42—736no—
504C2×C42—733no—
505C2×C42—733no—
506C2×C42—733no—
507C2×C42—733no—
508C2×C42—733no—
509C2×C42—7324no—
510C2×C42C22×D7313yes—
511C2×C42C22×D7313yes—
512C2×C42C22×D7313yes—
513C24—731no—
514C2×Q8—46no—
515C2×Q8—2926no—
516C2×Q8—29212no—
517C2×Q8—7364no—
518C2×Q8—7324no—
519C2×Q8—7312no—
520C2×Q8—7324no—
521C2×Q8—7312no—
522C2×Q8—7312no—
523C2×Q8—734no—
524C2×Q8—14612no—
525C2×Q8—1464no—
526C2×Q8Q8×D7318yes—
527C2×Q8C23×D73112yes—
528C2×Q8C23×D7314yes—
529C22×C4—2926no—
530C22×C4—7312no—
531C22×C4—733no—
532C22×C4—731no—
533C22×C4—7324no—
534C22×C4—7312no—
535C22×C4—731no—
536C22×C4—733no—
537C22×C4—731no—
538C22×C4—733no—
539C22×C4—733no—
540C22×C4—734no—
541C22×C4—1464no—
542C22×C4C23×D7311yescharacteristic
543C22×C4C23×D7313yes—
544C22×C4C23×D7313yes—
545C22×C4C23×D7313yes—
546C22×C4C23×D7311yescharacteristic
547C22×C4C23×D7311yescharacteristic
548C22×C4C23×D7313yes—
549C4⋊C4—7324no—
550C4⋊C4—7312no—
551C4⋊C4—7312no—
552C4⋊C4—7312no—
553C4⋊C4—7312no—
554C4⋊C4—7312no—
555C4⋊C4—734no—
556C4⋊C4—7312no—
557C4⋊C4—734no—
558C4⋊C4—7324no—
559C4⋊C4—7324no—
560C4⋊C4—7312no—
561C4⋊C4—7312no—
562C4⋊C4—7312no—
563C4⋊C4—7312no—
564C4⋊C4—7312no—
565C4⋊C4—7312no—
566C4⋊C4—7312no—
567C4⋊C4—7312no—
568C4⋊C4C23×D73112yes—
569C4⋊C4C23×D73112yes—
570C4⋊C4C23×D73112yes—
571C4⋊C4C23×D73112yes—
572C4⋊C4C23×D73124yes—
573C4⋊C4C23×D7314yes—
574C4⋊C4C23×D73112yes—
575C22⋊C4—7312no—
576C22⋊C4—734no—
577C22⋊C4—7312no—
578C22⋊C4—734no—
579C42—7312no—
580C42—7312no—
581C42—7312no—
582C42—7324no—
583C42—7324no—
584C42—7312no—
585C42—7312no—
586C42C23×D73112yes—
587C42C23×D73112yes—
588C42C23×D73112yes—
589C23—734no—
590C23—732no—
591C23—1462no—
592C23—1462no—
593C23C24×D7311yescharacteristic
594Q8—412no—
595Q8—29212no—
596Q8—29224no—
597Q8—7348no—
598Q8—14624no—
599Q8—1468no—
600Q8C2×Q8×D73116yes—
601C2×C4—22no—
602C2×C4—26no—
603C2×C4—22no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—26no—
607C2×C4—29212no—
608C2×C4—7312no—
609C2×C4—734no—
610C2×C4—736no—
611C2×C4—732no—
612C2×C4—7348no—
613C2×C4—732no—
614C2×C4—736no—
615C2×C4—732no—
616C2×C4—736no—
617C2×C4—736no—
618C2×C4—1468no—
619C2×C4—1462no—
620C2×C4—1466no—
621C2×C4—1466no—
622C2×C4—1462no—
623C2×C4—1466no—
624C2×C4C2×Q8×D73112yes—
625C2×C4C24×D7312yes—
626C2×C4C24×D7316yes—
627C2×C4C24×D7316yes—
628C2×C4C24×D7316yes—
629C2×C4C24×D7312yes—
630C2×C4C24×D7312yes—
631C2×C4C24×D7316yes—
632C22—734no—
633C22—1462no—
634C22—1462no—
635C22—1468no—
636C22C22×Q8×D7312yes—
637C222−1+4×D7312yes—
638C22#1798942312yes—
639C22C25×D7311yescharacteristic
640C4—22no—
641C4—26no—
642C4—22no—
643C4—26no—
644C4—22no—
645C4—26no—
646C4—7312no—
647C4—734no—
648C4—1462no—
649C4—1466no—
650C4—1466no—
651C4—1462no—
652C4—1466no—
653C4C22×Q8×D73112yes—
654C2—1464no—
655C2#2262373814yesdirect product factor
656C2C23×Q8×D7311yescharacteristic
657C2C2×2−1+4×D7311yescharacteristic
658C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#557×C73C2
socleC23×C73C25
prime radicalC23×D73C24
hypercenterC2×#557D73
hypocenterC73C2×#3502
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #22623738C2direct (N × H)
2. C2×Q8×Dic146C2semidirect
3. C2×#17989317C2semidirect
4. C2×#17989315C2semidirect
5. C2×#17989314C2semidirect
6. C2×#17989314C2semidirect
7. C2×#17989313C2semidirect
8. C2×#17989313C2semidirect
16. C2×#557×C73C2semidirect
18. Q8×Dic146C22semidirect
19. #17989317C22semidirect
20. #17989315C22semidirect
21. #17989314C22semidirect
22. #17989314C22semidirect
23. #17989313C22semidirect
24. #17989313C22semidirect
74. #557×C73C22semidirect
87. C2×Q8×D73Q8semidirect
194. Q8×D73C2×Q8semidirect
325. C2×C73#3502semidirect
338. C2×#557D73semidirect
346. C73C2×#3502semidirect
355. #557C2×D73semidirect
655. C2#22623738direct (N × H)

Maximal subgroups

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

subgroupindex
#226237382
C2×Q8×Dic1462
C2×#179893172
C2×#179893152
C2×#179893142
C2×#179893132
C2×#179892172
C2×#179892142
C2×#179891432
C2×#179891412
C2×#179890632
C2×C4×Q8×D732
C2×#557×C732
C2×#350273