Finite Group Databasebeta

← C2×#86222 #11703358

Subgroups — C2×#86222 #11703358

Order 768.

11210 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
1C22×#1010C212yesmaximal, complemented
2C2×C3×#532C211yesmaximal, characteristic, complemented
3C2×#5833C212yesmaximal, complemented
4#86222C2132yesmaximal, direct product factor
5C2×#5727C212yesmaximal, complemented
6C2×#5718C212yesmaximal, complemented
7C2×#5677C214yesmaximal, complemented
8C2×#5597C214yesmaximal, complemented
9C2×#5596C214yesmaximal, complemented
10C2×#5553C212yesmaximal, complemented
11C2×D4×Dic6C212yesmaximal, complemented
12C2×#5552C214yesmaximal, complemented
13C2×#5477C211yesmaximal, characteristic, complemented
14C22×C4×Dic6C211yesmaximal, characteristic, complemented
15C2×#3497—31nomaximal, Sylow
16C22×C3×#41C2212yes—
17C2×#1010—232no—
18C2×#1010C22132yescomplemented
19C22×D3×Q8C2214yes—
20C22×#237C2214yes—
21C22×#237C2218yes—
22C22×#235C2212yes—
23C22×#235C2214yes—
24C23×Dic6C2214yes—
25C23×Dic6C2211yescharacteristic
26C3×#532C22116yescomplemented
27C2×C3×C4⋊Q8C2211yescharacteristic
28C2×C3×#127C2211yescharacteristic
29C2×C3×#124C2212yes—
30C2×C3×#121C2212yes—
31C2×C3×#121C2212yes—
32C2×C3×C4×D4C2212yes—
33C2×C3×C4×D4C2212yes—
34C22×C3×C42C2211yescharacteristic
35#5833C22132yescomplemented
36C2×#946C2214yes—
37C2×#940C2214yes—
38C2×#939C2218yes—
39C2×#939C2218yes—
40C2×#938C2214yes—
41C2×D4×Dic3C2214yes—
42C2×#930C2212yes—
43C2×#930C2212yes—
44C2×#930C2214yes—
45C22×C4⋊Dic3C2211yescharacteristic
46C2×#924C2214yes—
47C22×Dic3⋊C4C2212yes—
48C22×C4×Dic3C2212yes—
49#5727C22132yescomplemented
50#5718C22132yescomplemented
51#5677C22164yescomplemented
52#5597C22164yescomplemented
53#5596C22164yescomplemented
54#5553C22132yescomplemented
55#5552C22164yescomplemented
56D4×Dic6C22132yescomplemented
57C2×#896C2218yes—
58C2×#893C2214yes—
59C2×#888C2214yes—
60C2×#885C2218yes—
61C2×#884C2218yes—
62C2×#67⋊C4C2218yes—
63C2×#878C2218yes—
64#5477C22116yescomplemented
65C2×#875C2212yes—
66C2×#874C2211yescharacteristic
67C2×C4×D12C2212yes—
68C2×C4×D12C2212yes—
69C2×#869C2211yescharacteristic
70C2×C4×Dic6C2212yes—
71C2×C4×Dic6C2212yes—
72C2×C4×Dic6C2212yes—
73C2×C4×Dic6C2212yes—
74C2×C4×Dic6C22116yescomplemented
75C22×2−1+4—32no—
76#3497—332no—
77C2×#550—32no—
78C2×#550—32no—
79C2×D4×Q8—32no—
80C2×D4×Q8—32no—
81C2×#548—34no—
82C2×#548—34no—
83C2×#537—32no—
84C2×#537—34no—
85C2×#532—31no—
86C2×#532—34no—
87C2×#532D311yescharacteristic, complemented
88C22×C4×Q8—31no—
89C2×C3×#41—216no—
90C2×C3×#41C23116yes—
91C22×C3×Q8C2312yes—
92C22×C3×D4C2312yes—
93C22×C3×D4C2314yes—
94C22×C3×D4C2312yes—
95C22×C3×D4C2312yes—
96C23×C3×C4C2314yes—
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C22×#67C2318yes—
101C22×#67C2314yes—
102C22×#67C2318yes—
103C23×Dic3C2318yes—
104C23×Dic3C2312yes—
105C23×Dic3C2312yes—
106#1010—2256no—
107C2×D3×Q8—232no—
108C2×D3×Q8C23132yes—
109C2×#237—264no—
110C2×#237—232no—
111C2×#237C23132yes—
112C2×#237C23164yes—
113C2×#235—216no—
114C2×#235—232no—
115C2×#235C23116yes—
116C2×#235C23132yes—
117C22×D12C2312yes—
118C22×D12C2312yes—
119C22×D12C2312yes—
120C22×C4×D3C2314yes—
121C22×C4×D3C2318yes—
122C22×Dic6—232no—
123C22×Dic6D4116yescomplemented
124C22×Dic6C2312yes—
125C22×Dic6C2318yes—
126C22×Dic6C23132yes—
127C22×Dic6C2312yes—
128C22×Dic6C2312yes—
129C22×Dic6C2318yes—
130C3×C4⋊Q8C2318yes—
131C3×#127C2318yes—
132C3×#124C23116yes—
133C3×#121C23116yes—
134C3×#121C23116yes—
135C3×C4×D4C23116yes—
136C3×C4×D4C23116yes—
137C2×C3×C4⋊C4C2312yes—
138C2×C3×C4⋊C4C2312yes—
139C2×C3×C22⋊C4C2314yes—
140C2×C3×C22⋊C4C2314yes—
141C2×C3×C42C2311yescharacteristic
142C2×C3×C42C2311yescharacteristic
143C2×C3×C42C2311yescharacteristic
144C2×C3×C42C2311yescharacteristic
145C2×C3×C42C2318yes—
146C2×#217C2318yes—
147#946C23132yes—
148#940C23132yes—
149#939C23164yes—
150#939C23164yes—
151#938C23132yes—
152D4×Dic3C23132yes—
153#930C23116yes—
154#930C23116yes—
155#930C23132yes—
156C2×(C2×D3)⋊C4C2314yes—
157C2×(C2×D3)⋊C4C2314yes—
158C2×(C2×D3)⋊C4C2318yes—
159C2×C4⋊Dic3C2312yes—
160C2×C4⋊Dic3C2312yes—
161C2×C4⋊Dic3C2318yes—
162C2×C4⋊Dic3C2312yes—
163C2×C4⋊Dic3C2312yes—
164#924C23132yes—
165C2×Dic3⋊C4C2314yes—
166C2×Dic3⋊C4C2314yes—
167C2×Dic3⋊C4C23116yes—
168C2×Dic3⋊C4C2318yes—
169C2×C4×Dic3C2314yes—
170C2×C4×Dic3C2314yes—
171C2×C4×Dic3C23116yes—
172#896C23164yes—
173#893C23132yes—
174#888C23132yes—
175#885C23164yes—
176#884C23164yes—
177#67⋊C4C23164yes—
178#878C23164yes—
179#875C23116yes—
180#874C2318yes—
181C4×D12C23116yes—
182C4×D12C23116yes—
183#869C2318yes—
184C4×Dic6C23116yes—
185C4×Dic6C23116yes—
186C4×Dic6C23116yes—
187C4×Dic6C23116yes—
188C2×2−1+4—332no—
189C2×2−1+4—632no—
190C22×#41—38no—
191C22×#41—34no—
192C22×#41—32no—
193C22×#41—34no—
194C22×#41C2×D312yes—
195C23×Q8—34no—
196C23×Q8—31no—
197C23×Q8—34no—
198#550—332no—
199#550—332no—
200D4×Q8—332no—
201D4×Q8—332no—
202#548—364no—
203#548—364no—
204#537—332no—
205#537—364no—
206#532—364no—
207#532—316no—
208#532C2×D3116yescomplemented
209C2×C4⋊Q8—34no—
210C2×C4⋊Q8—31no—
211C2×C4⋊Q8C2×D311yescharacteristic
212C2×#127—34no—
213C2×#127—31no—
214C2×#127C2×D311yescharacteristic
215C2×#124—38no—
216C2×#124—32no—
217C2×#124C2×D312yes—
218C2×C22⋊Q8—34no—
219C2×C22⋊Q8—34no—
220C2×C22⋊Q8—38no—
221C2×C22⋊Q8—38no—
222C2×#121—38no—
223C2×#121—34no—
224C2×#121—38no—
225C2×#121—32no—
226C2×#121—32no—
227C2×#121—34no—
228C2×#121—38no—
229C2×#121C2×D312yes—
230C2×#121C2×D312yes—
231C2×C4×Q8—32no—
232C2×C4×Q8—32no—
233C2×C4×Q8—32no—
234C2×C4×Q8—32no—
235C2×C4×Q8—316no—
236C2×C4×D4—34no—
237C2×C4×D4—34no—
238C2×C4×D4—38no—
239C2×C4×D4—32no—
240C2×C4×D4—32no—
241C2×C4×D4C2×D312yes—
242C2×C4×D4C2×D312yes—
243C22×C4⋊C4—32no—
244C22×C4⋊C4—31no—
245C22×C42—32no—
246C22×C42C2×D311yescharacteristic
247C24×C3C2414yes—
248C24×C3C2411yescharacteristic
249C23×D3C2414yes—
250C3×#41—264no—
251C2×C3×Q8—28no—
252C2×C3×Q8C2418yes—
253C2×C3×D4—216no—
254C2×C3×D4—28no—
255C2×C3×D4—28no—
256C2×C3×D4—44no—
257C2×C3×D4C2418yes—
258C2×C3×D4C2418yes—
259C2×C3×D4C24116yes—
260C2×C3×D4C2418yes—
261C22×C3×C4—216no—
262C22×C3×C4—24no—
263C22×C3×C4—42no—
264C22×C3×C4C2×D418yes—
265C22×C3×C4C2411yescharacteristic
266C22×C3×C4C2414yes—
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2414yes—
270C22×C3×C4C24116yes—
271C22×C3×C4C2414yes—
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2411yescharacteristic
274C22×C3×C4C2414yes—
275C22×C3×C4C2411yescharacteristic
276C2×#67—216no—
277C2×#67—232no—
278C2×#67—416no—
279C2×#67C24132yes—
280C2×#67C24116yes—
281C2×#67C24132yes—
282C22×Dic3—232no—
283C22×Dic3—44no—
284C22×Dic3C2×D4116yes—
285C22×Dic3C24132yes—
286C22×Dic3C2414yes—
287C22×Dic3C2414yes—
288C22×Dic3C2418yes—
289C22×Dic3C2414yes—
290C22×Dic3C2418yes—
291D3×Q8—2128no—
292#237—2256no—
293#237—2128no—
294#235—264no—
295#235—2128no—
296C2×D12—28no—
297C2×D12—28no—
298C2×D12—44no—
299C2×D12C2418yes—
300C2×D12C2418yes—
301C2×D12C2418yes—
302C2×C4×D3—216no—
303C2×C4×D3—232no—
304C2×C4×D3C24116yes—
305C2×C4×D3C24132yes—
306C2×Dic6—28no—
307C2×Dic6—232no—
308C2×Dic6—2128no—
309C2×Dic6C2×D4116yes—
310C2×Dic6C2×D4116yes—
311C2×Dic6C2×D4164yescomplemented
312C2×Dic6C2418yes—
313C2×Dic6C24132yes—
314C2×Dic6C2418yes—
315C2×Dic6C2418yes—
316C3×C4⋊C4C2418yes—
317C3×C4⋊C4C2418yes—
318C3×C22⋊C4C24116yes—
319C3×C22⋊C4C24116yes—
320C3×C42C2414yes—
321C3×C42C2414yes—
322C3×C42C2414yes—
323C3×C42C2414yes—
324#217C24132yes—
325(C2×D3)⋊C4C24116yes—
326(C2×D3)⋊C4C24116yes—
327(C2×D3)⋊C4C24132yes—
328C4⋊Dic3C2418yes—
329C4⋊Dic3C2418yes—
330C4⋊Dic3C2418yes—
331C4⋊Dic3C2418yes—
332Dic3⋊C4C24116yes—
333Dic3⋊C4C24116yes—
334Dic3⋊C4C24132yes—
335C4×Dic3C24116yes—
336C4×Dic3C24116yes—
3372−1+4—6256no—
338C2×#41—216no—
339C2×#41—364no—
340C2×#41—332no—
341C2×#41—316no—
342C2×#41—332no—
343C2×#41—632no—
344C2×#41—664no—
345C2×#41—632no—
346C2×#41—616no—
347C2×#41C22×D3116yes—
348C22×Q8—332no—
349C22×Q8—316no—
350C22×Q8—32no—
351C22×Q8—32no—
352C22×Q8—38no—
353C22×Q8—38no—
354C22×Q8—32no—
355C22×Q8—332no—
356C22×Q8—632no—
357C22×Q8—632no—
358C22×Q8C22×D312yes—
359C22×D4—34no—
360C22×D4—38no—
361C22×D4—38no—
362C22×D4—32no—
363C22×D4—32no—
364C22×D4—32no—
365C22×D4C22×D312yes—
366C22×D4C22×D314yes—
367C22×D4C22×D312yes—
368C22×D4C22×D312yes—
369C23×C4—32no—
370C23×C4—38no—
371C23×C4—32no—
372C23×C4—38no—
373C23×C4—34no—
374C23×C4C22×D314yes—
375C23×C4C22×D311yescharacteristic
376C23×C4C22×D311yescharacteristic
377C23×C4C22×D311yescharacteristic
378C4⋊Q8—332no—
379C4⋊Q8—38no—
380C4⋊Q8C22×D318yes—
381#127—332no—
382#127—38no—
383#127C22×D318yes—
384#124—364no—
385#124—316no—
386#124C22×D3116yes—
387C22⋊Q8—332no—
388C22⋊Q8—332no—
389C22⋊Q8—364no—
390C22⋊Q8—364no—
391#121—364no—
392#121—332no—
393#121—364no—
394#121—316no—
395#121—316no—
396#121—332no—
397#121—364no—
398#121C22×D3116yes—
399#121C22×D3116yes—
400C4×Q8—316no—
401C4×Q8—316no—
402C4×Q8—316no—
403C4×Q8—316no—
404C4×D4—332no—
405C4×D4—332no—
406C4×D4—364no—
407C4×D4—316no—
408C4×D4—316no—
409C4×D4C22×D3116yes—
410C4×D4C22×D3116yes—
411C2×C4⋊C4—34no—
412C2×C4⋊C4—34no—
413C2×C4⋊C4—32no—
414C2×C4⋊C4—32no—
415C2×C4⋊C4—316no—
416C2×C4⋊C4—38no—
417C2×C4⋊C4—32no—
418C2×C4⋊C4—38no—
419C2×C4⋊C4—32no—
420C2×C4⋊C4C22×D312yes—
421C2×C4⋊C4C22×D312yes—
422C2×C22⋊C4—38no—
423C2×C22⋊C4—34no—
424C2×C22⋊C4—38no—
425C2×C22⋊C4—34no—
426C2×C22⋊C4C22×D314yes—
427C2×C22⋊C4C22×D314yes—
428C2×C42—34no—
429C2×C42—34no—
430C2×C42—316no—
431C2×C42C22×D311yescharacteristic
432C2×C42C22×D311yescharacteristic
433C2×C42C22×D311yescharacteristic
434C2×C42C22×D311yescharacteristic
435C2×C42C22×D318yes—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—28no—
439C23×C3—28no—
440C23×C3—28no—
441C23×C3C22×D414yes—
442C23×C3C2518yes—
443C23×C3C2512yes—
444C23×C3C2511yescharacteristic
445C22×D3—28no—
446C22×D3—28no—
447C22×D3—28no—
448C22×D3C2518yes—
449C3×Q8—216no—
450C3×D4—232no—
451C3×D4—216no—
452C3×D4—216no—
453C3×D4—48no—
454C2×C3×C4—28no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—232no—
459C2×C3×C4—28no—
460C2×C3×C4—44no—
461C2×C3×C4C22×D414yes—
462C2×C3×C4C22×D414yes—
463C2×C3×C4C22×D4116yes—
464C2×C3×C42−1+414yescomplemented
465C2×C3×C4C2512yes—
466C2×C3×C4C2512yes—
467C2×C3×C4C2512yes—
468C2×C3×C4C2518yes—
469C2×C3×C4C2512yes—
470C2×C3×C4C2512yes—
471C2×C3×C4C2512yes—
472#67—232no—
473#67—264no—
474#67—432no—
475C2×Dic3—28no—
476C2×Dic3—28no—
477C2×Dic3—264no—
478C2×Dic3—48no—
479C2×Dic3C22×D4116yes—
480C2×Dic3C22×D4132yes—
481C2×Dic3C2518yes—
482C2×Dic3C2518yes—
483C2×Dic3C2518yes—
484D12—216no—
485D12—216no—
486D12—48no—
487C4×D3—232no—
488C4×D3—264no—
489Dic6—216no—
490Dic6—264no—
491Dic6C22×D4132yes—
492Dic6C22×D4132yes—
493C24—34no—
494C24C23×D314yes—
495C24C23×D311yescharacteristic
496#41—264no—
497#41—6128no—
498#41—6256no—
499#41—6128no—
500#41—664no—
501C2×Q8—28no—
502C2×Q8—316no—
503C2×Q8—316no—
504C2×Q8—364no—
505C2×Q8—38no—
506C2×Q8—38no—
507C2×Q8—332no—
508C2×Q8—38no—
509C2×Q8—632no—
510C2×Q8—6128no—
511C2×Q8—6128no—
512C2×Q8—68no—
513C2×Q8C23×D318yes—
514C2×D4—216no—
515C2×D4—28no—
516C2×D4—28no—
517C2×D4—316no—
518C2×D4—332no—
519C2×D4—332no—
520C2×D4—38no—
521C2×D4—38no—
522C2×D4—38no—
523C2×D4—44no—
524C2×D4—632no—
525C2×D4—616no—
526C2×D4—68no—
527C2×D4—68no—
528C2×D4—124no—
529C2×D4—1216no—
530C2×D4C23×D318yes—
531C2×D4C23×D3116yes—
532C2×D4C23×D318yes—
533C2×D4C23×D318yes—
534C22×C4—216no—
535C22×C4—24no—
536C22×C4—316no—
537C22×C4—38no—
538C22×C4—34no—
539C22×C4—332no—
540C22×C4—34no—
541C22×C4—34no—
542C22×C4—38no—
543C22×C4—332no—
544C22×C4—316no—
545C22×C4—42no—
546C22×C4—632no—
547C22×C4—632no—
548C22×C4—616no—
549C22×C4—124no—
550C22×C4D3×D418yes—
551C22×C4C23×D314yes—
552C22×C4C23×D3116yes—
553C22×C4C23×D311yescharacteristic
554C22×C4C23×D311yescharacteristic
555C22×C4C23×D311yescharacteristic
556C22×C4C23×D314yes—
557C22×C4C23×D314yes—
558C22×C4C23×D314yes—
559C22×C4C23×D311yescharacteristic
560C22×C4C23×D311yescharacteristic
561C22×C4C23×D311yescharacteristic
562C4⋊C4—316no—
563C4⋊C4—316no—
564C4⋊C4—38no—
565C4⋊C4—38no—
566C4⋊C4—38no—
567C4⋊C4—332no—
568C4⋊C4—38no—
569C4⋊C4C23×D318yes—
570C4⋊C4C23×D318yes—
571C22⋊C4—332no—
572C22⋊C4—316no—
573C22⋊C4—332no—
574C22⋊C4—316no—
575C22⋊C4C23×D3116yes—
576C22⋊C4C23×D3116yes—
577C42—316no—
578C42—316no—
579C42C23×D314yes—
580C42C23×D314yes—
581C42C23×D314yes—
582C42C23×D314yes—
583C22×C3—22no—
584C22×C3—22no—
585C22×C3—28no—
586C22×C3—28no—
587C22×C3—28no—
588C22×C3—28no—
589C22×C3—416no—
590C22×C3C23×D414yes—
591C22×C3C23×D412yes—
592C22×C3C2×2−1+412yes—
593C22×C3#58512yes—
594C22×C3C2611yescharacteristic
595C2×D3—28no—
596C2×D3—28no—
597C2×D3—28no—
598C2×D3—416no—
599C3×C4—28no—
600C3×C4—22no—
601C3×C4—22no—
602C3×C4—22no—
603C3×C4C23×D414yes—
604C3×C4C23×D414yes—
605C3×C4C2×2−1+414yescomplemented
606Dic3—28no—
607Dic3—28no—
608Dic3C23×D4116yes—
609C23—22no—
610C23—22no—
611C23—28no—
612C23—28no—
613C23—28no—
614C23—38no—
615C23—68no—
616C23—68no—
617C23—68no—
618C23C2×D3×D414yes—
619C23C24×D318yes—
620C23C24×D312yes—
621C23C24×D311yescharacteristic
622Q8—216no—
623Q8—332no—
624Q8—332no—
625Q8—664no—
626Q8—616no—
627D4—232no—
628D4—216no—
629D4—216no—
630D4—48no—
631D4—664no—
632D4—632no—
633D4—616no—
634D4—616no—
635D4—128no—
636D4—1232no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—232no—
642C2×C4—28no—
643C2×C4—316no—
644C2×C4—332no—
645C2×C4—38no—
646C2×C4—38no—
647C2×C4—38no—
648C2×C4—44no—
649C2×C4—664no—
650C2×C4—664no—
651C2×C4—68no—
652C2×C4—68no—
653C2×C4—632no—
654C2×C4—128no—
655C2×C4C2×D3×D414yes—
656C2×C4C2×D3×D414yes—
657C2×C4C2×D3×D4116yes—
658C2×C4#101014yescomplemented
659C2×C4C24×D312yes—
660C2×C4C24×D312yes—
661C2×C4C24×D312yes—
662C2×C4C24×D318yes—
663C2×C4C24×D312yes—
664C2×C4C24×D312yes—
665C2×C4C24×D312yes—
666C2×C3—24no—
667C2×C3—48no—
668C2×C3#349714yescomplemented
669C2×C3C24×D411yescharacteristic
670C2×C3C22×2−1+411yescharacteristic
671C2×C3C2×#58511yescharacteristic
672D3—48no—
673C22—22no—
674C22—22no—
675C22—28no—
676C22—28no—
677C22—28no—
678C22—28no—
679C22—416no—
680C22—68no—
681C22—68no—
682C22—68no—
683C22—1216no—
684C22C22×D3×D414yes—
685C22C22×D3×D412yes—
686C22C2×#101012yes—
687C22#596412yes—
688C22C25×D311yescharacteristic
689C4—28no—
690C4—22no—
691C4—22no—
692C4—22no—
693C4—316no—
694C4—68no—
695C4—68no—
696C4C22×D3×D414yes—
697C4C22×D3×D414yes—
698C4C2×#101014yescomplemented
699C3C2×#349711yescharacteristic, complemented, Sylow
700C2—24no—
701C2—48no—
702C2—128no—
703C2#8622214yesdirect product factor
704C2C23×D3×D411yescharacteristic
705C2C22×#101011yescharacteristic
706C2C2×#596411yescharacteristic
subgroupG/H
centerC23C24×D3
commutator, cosocleC22×C3C26
FrattiniC22C25×D3
FittingC2×C3×#532C2
socleC23×C3C25
hypercenterC2×#532D3
hypocenterC3C2×#3497
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#532

Complements

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

NH ≅ G/Ntype
1. C22×#1010C2semidirect
2. C2×C3×#532C2semidirect
3. C2×#5833C2semidirect
4. #86222C2direct (N × H)
5. C2×#5727C2semidirect
6. C2×#5718C2semidirect
7. C2×#5677C2semidirect
8. C2×#5597C2semidirect
9. C2×#5596C2semidirect
10. C2×#5553C2semidirect
11. C2×D4×Dic6C2semidirect
12. C2×#5552C2semidirect
13. C2×#5477C2semidirect
14. C22×C4×Dic6C2semidirect
18. C2×#1010C22semidirect
26. C3×#532C22semidirect
35. #5833C22semidirect
49. #5727C22semidirect
50. #5718C22semidirect
51. #5677C22semidirect
52. #5597C22semidirect
53. #5596C22semidirect
54. #5553C22semidirect
55. #5552C22semidirect
56. D4×Dic6C22semidirect
64. #5477C22semidirect
74. C2×C4×Dic6C22semidirect
87. C2×#532D3semidirect
123. C22×Dic6D4semidirect
208. #532C2×D3semidirect
311. C2×Dic6C2×D4semidirect
464. C2×C3×C42−1+4semidirect
605. C3×C4C2×2−1+4semidirect
658. C2×C4#1010semidirect
668. C2×C3#3497semidirect
698. C4C2×#1010semidirect
699. C3C2×#3497semidirect
703. C2#86222direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#10102
C2×C3×#5322
C2×#58332
#862222
C2×#57272
C2×#57182
C2×#56772
C2×#55972
C2×#55962
C2×#55532
C2×D4×Dic62
C2×#55522
C2×#54772
C22×C4×Dic62
C2×#34973