Finite Group Databasebeta

← C2×#10595157 #11902608

Subgroups — C2×#10595157 #11902608

Order 1152.

3405 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C211yesmaximal, characteristic, complemented
2C22×D3×Dic6C211yesmaximal, characteristic, complemented
3C2×#64145C211yesmaximal, characteristic, complemented
4C2×C3×#938C211yesmaximal, characteristic, complemented
5C2×Dic3×#67C212yesmaximal, complemented
6C2×#63970C212yesmaximal, complemented
7C2×#63964C212yesmaximal, complemented
8C2×#63959C212yesmaximal, complemented
9#10595157C2116yesmaximal, direct product factor
10C2×C4×#625C211yesmaximal, characteristic, complemented
11C2×#63857C211yesmaximal, characteristic, complemented
12C2×#63843C211yesmaximal, characteristic, complemented
13C2×#5831—31nomaximal
14C2×#5598—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C22×#634C2211yescharacteristic
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yes—
19C23×C3×Dic3C2212yes—
20C2×C3×#237—28no—
21C2×C3×#237C2218yescomplemented
22C22×C3×C4×D3C2211yescharacteristic
23C22×C3×C4×D3C2211yescharacteristic
24C22×C3×Dic6C2211yescharacteristic
25C22×#627C2212yes—
26C22×#625C2211yescharacteristic
27C22×D3×Dic3C2212yes—
28C2×D3×Dic6—28no—
29C2×D3×Dic6C2218yescomplemented
30C2×#3757C2212yes—
31C2×#3757C2212yes—
32#64145C2218yescomplemented
33C2×C4×C3⋊Dic3C2211yescharacteristic
34C2×C3×#217C2212yes—
35C3×#938C2218yescomplemented
36C2×C3×C4⋊Dic3C2211yescharacteristic
37Dic3×#67C22116yescomplemented
38#63970C22116yescomplemented
39C2×#3724C2211yescharacteristic
40C2×Dic3⋊Dic3C2212yes—
41C2×Dic3⋊Dic3C2212yes—
42#63964C22116yescomplemented
43C2×(C2×D3)⋊Dic3C2212yes—
44C2×(C2×D3)⋊Dic3C2211yescharacteristic
45C2×(C2×D3)⋊Dic3C2211yescharacteristic
46#63959C22116yescomplemented
47C2×Dic32C2212yes—
48C4×#625C2218yescomplemented
49#63857C2218yescomplemented
50#63843C2218yescomplemented
51C22×C3×#41—31no—
52C22×D3×Q8—31no—
53C22×#237D311yescharacteristic, complemented
54C23×Dic6—31no—
55C2×C3×#121—31no—
56#5831—316no—
57C2×Q8×Dic3—31no—
58C2×#939—32no—
59C2×#938—32no—
60C2×#938D311yescharacteristic, complemented
61C2×#936—31no—
62C2×#936—31no—
63C2×#936—32no—
64C2×#936—61no—
65C2×D4×Dic3—32no—
66C2×C4×#67—32no—
67C2×C4×#67—31no—
68C2×C4×#67—31no—
69C2×#924—32no—
70C2×#924—31no—
71#5598—316no—
72C2×#897—31no—
73C2×#887—31no—
74C2×#885—32no—
75C2×#878—32no—
76C24×C32C2312yes—
77C23×C3×D3C2311yescharacteristic
78C23×C3×D3C2311yescharacteristic
79C2×C32×D4—24no—
80C2×C32×D4C2314yes—
81C22×C32×C4C2311yescharacteristic
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C2×#634—24no—
86C2×#634C2314yes—
87C2×C3×#67—28no—
88C2×C3×#67—28no—
89C2×C3×#67C2318yes—
90C2×C3×#67C2318yes—
91C22×C3×Dic3—28no—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2311yescharacteristic
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2318yes—
96C22×C3×Dic3C2312yes—
97C3×#237—232no—
98C2×C3×C4×D3—24no—
99C2×C3×C4×D3—24no—
100C2×C3×C4×D3C2314yes—
101C2×C3×C4×D3C2314yes—
102C2×C3×Dic6D418yescomplemented
103C2×C3×Dic6C2314yes—
104C2×#627—28no—
105C2×#627C2318yes—
106C2×#625—24no—
107C2×#625C2314yes—
108C2×D3×Dic3—28no—
109C2×D3×Dic3C2318yes—
110D3×Dic6—232no—
111#3757C2318yes—
112#3757C2318yes—
113C4×C3⋊Dic3C2314yes—
114C3×#217C2318yes—
115C3×C4⋊Dic3C2314yes—
116#3724C2314yes—
117Dic3⋊Dic3C2318yes—
118Dic3⋊Dic3C2318yes—
119(C2×D3)⋊Dic3C2318yes—
120(C2×D3)⋊Dic3C2314yes—
121(C2×D3)⋊Dic3C2314yes—
122Dic32C2318yes—
123C2×#548—91noSylow
124C2×C3×#41—38no—
125C2×C3×#41—68no—
126C22×C3×Q8—31no—
127C22×C3×D4—21no—
128C22×C3×D4—32no—
129C22×C3×D4—32no—
130C22×C3×D4C2×D311yescharacteristic
131C22×C3×D4C2×D311yescharacteristic
132C23×C3×C4—32no—
133C23×C3×C4—31no—
134C23×C3×C4—31no—
135C22×#67—31no—
136C22×#67—31no—
137C22×#67C2×D312yes—
138C22×#67C2×D312yes—
139C23×Dic3—32no—
140C23×Dic3C2×D312yes—
141C2×D3×Q8—38no—
142C2×D3×Q8—68no—
143C2×#237—28no—
144C2×#237C2×D318yescomplemented
145C22×C4×D3—32no—
146C22×C4×D3C2×D311yescharacteristic
147C22×C4×D3C2×D311yescharacteristic
148C22×Dic6—31no—
149C22×Dic6—31no—
150C22×Dic6—32no—
151C22×Dic6—32no—
152C22×Dic6—38no—
153C22×Dic6—61no—
154C22×Dic6—68no—
155C22×Dic6C2×D311yescharacteristic
156C3×#121—38no—
157C2×C3×C4⋊C4—31no—
158C2×C3×C22⋊C4—32no—
159C2×#217—32no—
160C2×#217—32no—
161C2×#217—32no—
162C2×#217—32no—
163C2×#217—32no—
164C2×#217—31no—
165C2×#217—31no—
166C2×#217—62no—
167C2×#217—62no—
168C2×#217C2×D312yes—
169Q8×Dic3—38no—
170#939—316no—
171#938—316no—
172#938C2×D318yescomplemented
173#936—38no—
174#936—38no—
175#936—316no—
176#936—68no—
177D4×Dic3—316no—
178C4×#67—316no—
179C4×#67—38no—
180C4×#67—38no—
181C2×(C2×D3)⋊C4—31no—
182C2×(C2×D3)⋊C4—32no—
183C2×(C2×D3)⋊C4—31no—
184C2×C4⋊Dic3—32no—
185C2×C4⋊Dic3—32no—
186C2×C4⋊Dic3C2×D311yescharacteristic
187#924—316no—
188#924—38no—
189C2×Dic3⋊C4—31no—
190C2×Dic3⋊C4—32no—
191C2×Dic3⋊C4—32no—
192C2×Dic3⋊C4—31no—
193C2×C4×Dic3—31no—
194C2×C4×Dic3—31no—
195C2×C4×Dic3—32no—
196C2×C4×Dic3—32no—
197C2×C4×Dic3—61no—
198#897—38no—
199#887—38no—
200#885—316no—
201#878—316no—
202C23×C32—24no—
203C23×C32—24no—
204C23×C32—24no—
205C23×C32C2414yes—
206C23×C32C2411yescharacteristic
207C22×C3×D3—22no—
208C22×C3×D3—22no—
209C22×C3×D3—22no—
210C22×C3×D3—22no—
211C22×C3×D3—22no—
212C22×C3×D3#4114yescomplemented
213C22×C3×D3C2412yes—
214C22×C3×D3C2412yes—
215C32×D4—28no—
216C2×C32×C4C2×D414yes—
217C2×C32×C4C2412yes—
218C2×C3⋊Dic3—24no—
219C2×C3⋊Dic3—22no—
220C2×C3⋊Dic3—22no—
221C2×C3⋊Dic3C2412yes—
222C2×C3⋊Dic3C2414yes—
223C2×C3⋊Dic3C2412yes—
224#634—28no—
225C3×#67—216no—
226C3×#67—216no—
227C2×C3×Dic3—22no—
228C2×C3×Dic3—22no—
229C2×C3×Dic3—24no—
230C2×C3×Dic3—216no—
231C2×C3×Dic3C2×D418yes—
232C2×C3×Dic3C2414yes—
233C2×C3×Dic3C2412yes—
234C2×C3×Dic3C2412yes—
235C2×C3×Dic3C2414yes—
236C3×C4×D3—28no—
237C3×C4×D3—28no—
238C3×Dic6C2×D4116yescomplemented
239#627—216no—
240#625—28no—
241D3×Dic3—216no—
242C22×#41—31no—
243C23×Q8—91no—
244#548—916no—
245C2×#124—92no—
246C2×#124—91no—
247C2×C22⋊Q8—92no—
248C2×C22⋊Q8—91no—
249C2×#121—31no—
250C2×#121—92no—
251C2×C4×Q8—91no—
252C2×C4×D4—91no—
253C2×C4×D4—92no—
254C24×C3—22no—
255C24×C3—31no—
256C24×C3—31no—
257C24×C3C22×D312yes—
258C24×C3C22×D312yes—
259C23×D3C22×D311yescharacteristic
260C23×D3C22×D311yescharacteristic
261C3×#41—632no—
262C2×C3×Q8—38no—
263C2×C3×Q8—34no—
264C2×C3×D4—24no—
265C2×C3×D4—24no—
266C2×C3×D4—24no—
267C2×C3×D4—38no—
268C2×C3×D4—38no—
269C2×C3×D4—44no—
270C2×C3×D4—68no—
271C2×C3×D4—68no—
272C2×C3×D4C22×D314yes—
273C2×C3×D4C22×D314yes—
274C22×C3×C4—21no—
275C22×C3×C4—32no—
276C22×C3×C4—32no—
277C22×C3×C4—31no—
278C22×C3×C4—31no—
279C22×C3×C4—38no—
280C22×C3×C4—34no—
281C22×C3×C4—34no—
282C22×C3×C4—68no—
283C22×C3×C4—64no—
284C22×C3×C4—64no—
285C22×C3×C4C22×D311yescharacteristic
286C22×C3×C4C22×D311yescharacteristic
287C2×#67—28no—
288C2×#67—28no—
289C2×#67—34no—
290C2×#67—34no—
291C2×#67—64no—
292C2×#67—64no—
293C2×#67C22×D318yes—
294C2×#67C22×D318yes—
295C22×Dic3—28no—
296C22×Dic3—31no—
297C22×Dic3—31no—
298C22×Dic3—31no—
299C22×Dic3—31no—
300C22×Dic3—32no—
301C22×Dic3—32no—
302C22×Dic3—38no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—62no—
306C22×Dic3—68no—
307C22×Dic3C22×D318yes—
308C22×Dic3C22×D312yes—
309C22×Dic3C22×D311yescharacteristic
310C22×Dic3C22×D311yescharacteristic
311C22×Dic3C22×D312yes—
312D3×Q8—632no—
313#237—232no—
314C2×C4×D3—24no—
315C2×C4×D3—24no—
316C2×C4×D3—38no—
317C2×C4×D3—68no—
318C2×C4×D3C22×D314yes—
319C2×C4×D3C22×D314yes—
320C2×Dic6—34no—
321C2×Dic6—34no—
322C2×Dic6—38no—
323C2×Dic6—38no—
324C2×Dic6—64no—
325C2×Dic6—68no—
326C2×Dic6—64no—
327C2×Dic6—64no—
328C2×Dic6—68no—
329C2×Dic6—632no—
330C2×Dic6—124no—
331C2×Dic6#6718yescomplemented
332C2×Dic6C22×D314yes—
333C3×C4⋊C4—34no—
334C3×C22⋊C4—38no—
335#217—38no—
336#217—38no—
337#217—38no—
338#217—38no—
339#217—38no—
340#217—34no—
341#217—34no—
342#217—68no—
343#217—68no—
344#217C22×D318yes—
345(C2×D3)⋊C4—34no—
346(C2×D3)⋊C4—38no—
347(C2×D3)⋊C4—34no—
348C4⋊Dic3—38no—
349C4⋊Dic3—38no—
350C4⋊Dic3C22×D314yes—
351Dic3⋊C4—34no—
352Dic3⋊C4—38no—
353Dic3⋊C4—38no—
354Dic3⋊C4—34no—
355C4×Dic3—34no—
356C4×Dic3—34no—
357C4×Dic3—38no—
358C4×Dic3—38no—
359C4×Dic3—64no—
360C22×C32—24no—
361C22×C32—24no—
362C22×C32—24no—
363C22×C32—48no—
364C22×C32C22×D412yes—
365C22×C32C2×#4112yes—
366C22×C322−1+412yes—
367C22×C32C2511yescharacteristic
368C2×C3×D3—28no—
369C2×C3×D3—22no—
370C2×C3×D3—22no—
371C2×C3×D3—22no—
372C2×C3×D3—22no—
373C2×C3×D3—22no—
374C2×C3×D3—44no—
375C2×C3×D3C2×#4114yescomplemented
376C32×C4C22×D414yes—
377C3⋊Dic3—24no—
378C3⋊Dic3—22no—
379C3⋊Dic3—22no—
380C3×Dic3—22no—
381C3×Dic3—22no—
382C3×Dic3—24no—
383C3×Dic3C22×D418yes—
384C2×#41—38no—
385C2×#41—68no—
386C22×Q8—31no—
387C22×Q8—92no—
388C22×Q8—98no—
389C22×Q8—91no—
390C22×Q8—188no—
391C22×D4—32no—
392C22×D4—32no—
393C22×D4—91no—
394C22×D4D3211yescharacteristic
395C23×C4—32no—
396C23×C4—31no—
397C23×C4—31no—
398C23×C4—92no—
399#124—916no—
400#124—98no—
401C22⋊Q8—916no—
402C22⋊Q8—98no—
403#121—38no—
404#121—916no—
405C4×Q8—98no—
406C4×D4—98no—
407C4×D4—916no—
408C2×C4⋊C4—31no—
409C2×C4⋊C4—91no—
410C2×C4⋊C4—92no—
411C2×C4⋊C4—92no—
412C2×C22⋊C4—32no—
413C2×C22⋊C4—91no—
414C2×C22⋊C4—91no—
415C2×C22⋊C4—92no—
416C2×C22⋊C4—92no—
417C2×C22⋊C4—92no—
418C2×C42—92no—
419C2×C42—91no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—24no—
426C23×C3—24no—
427C23×C3—21no—
428C23×C3—34no—
429C23×C3—32no—
430C23×C3—32no—
431C23×C3—44no—
432C23×C3—44no—
433C23×C3—44no—
434C23×C3—62no—
435C23×C3—62no—
436C23×C3—62no—
437C23×C3—62no—
438C23×C3—62no—
439C23×C3C23×D314yes—
440C23×C3C23×D314yes—
441C23×C3C23×D311yescharacteristic
442C23×C3C23×D311yescharacteristic
443C22×D3—22no—
444C22×D3—22no—
445C22×D3—22no—
446C22×D3—22no—
447C22×D3—22no—
448C22×D3#23714yescomplemented
449C22×D3C23×D312yes—
450C22×D3C23×D312yes—
451C3×Q8—316no—
452C3×D4—28no—
453C3×D4—28no—
454C3×D4—48no—
455C3×D4—616no—
456C3×D4—616no—
457C2×C3×C4—22no—
458C2×C3×C4—24no—
459C2×C3×C4—38no—
460C2×C3×C4—34no—
461C2×C3×C4—34no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—616no—
465C2×C3×C4—62no—
466C2×C3×C4—64no—
467C2×C3×C4—62no—
468C2×C3×C4—68no—
469C2×C3×C4—68no—
470C2×C3×C4D3×D414yes—
471C2×C3×C4C2×#6714yes—
472C2×C3×C4C23×D312yes—
473C2×C3×C4C23×D312yes—
474#67—216no—
475#67—216no—
476#67—68no—
477#67—68no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—22no—
481C2×Dic3—216no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—32no—
486C2×Dic3—34no—
487C2×Dic3—34no—
488C2×Dic3—62no—
489C2×Dic3—62no—
490C2×Dic3—64no—
491C2×Dic3—64no—
492C2×Dic3—62no—
493C2×Dic3—62no—
494C2×Dic3—62no—
495C2×Dic3—62no—
496C2×Dic3—64no—
497C2×Dic3—616no—
498C2×Dic3—124no—
499C2×Dic3—122no—
500C2×Dic3—122no—
501C2×Dic3C2×#6718yes—
502C2×Dic3C23×D314yes—
503C2×Dic3C23×D312yes—
504C2×Dic3C23×D312yes—
505C2×Dic3C23×D314yes—
506C4×D3—28no—
507C4×D3—28no—
508C4×D3—616no—
509Dic6—616no—
510Dic6—68no—
511Dic6—68no—
512Dic6—616no—
513Dic6—128no—
514Dic6C2×#67116yescomplemented
515C2×C32—44no—
516C2×C32#54814yescomplemented
517C2×C32C23×D411yescharacteristic
518C2×C32C22×#4111yescharacteristic
519C2×C32C2×2−1+411yescharacteristic
520C3×D3—24no—
521C3×D3—42no—
522C24—31no—
523C24—31no—
524C24C2×D3212yes—
525#41—632no—
526C2×Q8—34no—
527C2×Q8—38no—
528C2×Q8—98no—
529C2×Q8—94no—
530C2×Q8—188no—
531C2×Q8—1832no—
532C2×Q8—184no—
533C2×D4—24no—
534C2×D4—38no—
535C2×D4—38no—
536C2×D4—68no—
537C2×D4—68no—
538C2×D4—94no—
539C2×D4—184no—
540C2×D4C2×D3214yes—
541C22×C4—32no—
542C22×C4—38no—
543C22×C4—32no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—34no—
547C22×C4—34no—
548C22×C4—68no—
549C22×C4—64no—
550C22×C4—64no—
551C22×C4—98no—
552C22×C4—91no—
553C22×C4—91no—
554C22×C4—92no—
555C22×C4—188no—
556C22×C4C2×D3211yescharacteristic
557C4⋊C4—34no—
558C4⋊C4—94no—
559C4⋊C4—98no—
560C4⋊C4—98no—
561C22⋊C4—38no—
562C22⋊C4—94no—
563C22⋊C4—94no—
564C22⋊C4—98no—
565C22⋊C4—98no—
566C22⋊C4—98no—
567C42—98no—
568C42—94no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—24no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—21no—
579C22×C3—34no—
580C22×C3—44no—
581C22×C3—44no—
582C22×C3—44no—
583C22×C3—48no—
584C22×C3—48no—
585C22×C3—62no—
586C22×C3—62no—
587C22×C3—68no—
588C22×C3—62no—
589C22×C3—62no—
590C22×C3—62no—
591C22×C3—88no—
592C22×C3—124no—
593C22×C3C2×D3×D412yes—
594C22×C3C2×#23712yes—
595C22×C3D3×#4112yes—
596C22×C3#101012yes—
597C22×C3#101012yes—
598C22×C3C22×#6712yes—
599C22×C3C24×D311yescharacteristic
600C22×C3C24×D311yescharacteristic
601C2×D3—22no—
602C2×D3—22no—
603C2×D3—28no—
604C2×D3—22no—
605C2×D3—22no—
606C2×D3—22no—
607C2×D3—44no—
608C2×D3C2×#23714yescomplemented
609C3×C4—24no—
610C3×C4—38no—
611C3×C4—62no—
612C3×C4—64no—
613C3×C4—62no—
614C3×C4C2×D3×D414yes—
615C3×C4C22×#6714yes—
616Dic3—22no—
617Dic3—24no—
618Dic3—22no—
619Dic3—64no—
620Dic3—62no—
621Dic3—62no—
622Dic3—62no—
623Dic3—62no—
624Dic3—64no—
625Dic3—124no—
626Dic3—122no—
627Dic3—122no—
628Dic3C22×#6718yes—
629C32C2×#54811yescharacteristic, complemented, Sylow
630C23—24no—
631C23—24no—
632C23—24no—
633C23—34no—
634C23—32no—
635C23—32no—
636C23—62no—
637C23—62no—
638C23—62no—
639C23—62no—
640C23—62no—
641C23C22×D3214yes—
642C23C22×D3211yescharacteristic
643Q8—316no—
644Q8—1816no—
645Q8—188no—
646D4—28no—
647D4—616no—
648D4—616no—
649D4—188no—
650C2×C4—38no—
651C2×C4—34no—
652C2×C4—34no—
653C2×C4—32no—
654C2×C4—32no—
655C2×C4—616no—
656C2×C4—64no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—68no—
660C2×C4—68no—
661C2×C4—92no—
662C2×C4—92no—
663C2×C4—94no—
664C2×C4—1816no—
665C2×C4—182no—
666C2×C4—182no—
667C2×C4—184no—
668C2×C4D3×#6714yes—
669C2×C4C22×D3212yes—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—24no—
673C2×C3—21no—
674C2×C3—44no—
675C2×C3—44no—
676C2×C3—64no—
677C2×C3—84no—
678C2×C3—122no—
679C2×C3#559814yescomplemented
680C2×C3#583114yescomplemented
681C2×C3C22×D3×D411yescharacteristic
682C2×C3C22×#23711yescharacteristic
683C2×C3C2×D3×#4111yescharacteristic
684C2×C3C2×#101011yescharacteristic
685C2×C3C2×#101011yescharacteristic
686C2×C3C23×#6711yescharacteristic
687D3—24no—
688D3—42no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—34no—
693C22—48no—
694C22—62no—
695C22—68no—
696C22—62no—
697C22—62no—
698C22—62no—
699C22—62no—
700C22—124no—
701C22#6430912yes—
702C22D3×#23712yes—
703C22C2×D3×#6712yes—
704C22C23×D3211yescharacteristic
705C4—38no—
706C4—64no—
707C4—62no—
708C4—62no—
709C4—182no—
710C4—182no—
711C4—184no—
712C4C2×D3×#6714yes—
713C3—21no—
714C3C2×#559811yescharacteristic, complemented
715C3C2×#583111yescharacteristic, complemented
716C2—44no—
717C2—64no—
718C2—122no—
719C2#1059515714yesdirect product factor
720C2C2×#6430911yescharacteristic
721C2C2×D3×#23711yescharacteristic
722C2C22×D3×#6711yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#548
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#237C2semidirect
2. C22×D3×Dic6C2semidirect
3. C2×#64145C2semidirect
4. C2×C3×#938C2semidirect
5. C2×Dic3×#67C2semidirect
6. C2×#63970C2semidirect
7. C2×#63964C2semidirect
8. C2×#63959C2semidirect
9. #10595157C2direct (N × H)
10. C2×C4×#625C2semidirect
11. C2×#63857C2semidirect
12. C2×#63843C2semidirect
21. C2×C3×#237C22semidirect
29. C2×D3×Dic6C22semidirect
32. #64145C22semidirect
35. C3×#938C22semidirect
37. Dic3×#67C22semidirect
38. #63970C22semidirect
42. #63964C22semidirect
46. #63959C22semidirect
48. C4×#625C22semidirect
49. #63857C22semidirect
50. #63843C22semidirect
53. C22×#237D3semidirect
60. C2×#938D3semidirect
102. C2×C3×Dic6D4semidirect
144. C2×#237C2×D3semidirect
172. #938C2×D3semidirect
212. C22×C3×D3#41semidirect
238. C3×Dic6C2×D4semidirect
331. C2×Dic6#67semidirect
375. C2×C3×D3C2×#41semidirect
448. C22×D3#237semidirect
514. Dic6C2×#67semidirect
516. C2×C32#548semidirect
608. C2×D3C2×#237semidirect
629. C32C2×#548semidirect
679. C2×C3#5598semidirect
680. C2×C3#5831semidirect
714. C3C2×#5598semidirect
715. C3C2×#5831semidirect
719. C2#10595157direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C22×D3×Dic62
C2×#641452
C2×C3×#9382
C2×Dic3×#672
C2×#639702
C2×#639642
C2×#639592
#105951572
C2×C4×#6252
C2×#638572
C2×#638432
C2×#58313
C2×#55983