Finite Group Databasebeta

← C2×#10594979 #11901338

Subgroups — C2×#10594979 #11901338

Order 1152.

3009 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3752C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic, complemented
3C2×C3×#924C211yesmaximal, characteristic, complemented
4C2×#63981C212yesmaximal, complemented
5C2×#67⋊Dic3C212yesmaximal, complemented
6C2×#63907C212yesmaximal, complemented
7#10594979C2116yesmaximal, direct product factor
8C2×#63890C212yesmaximal, complemented
9C2×#63886C212yesmaximal, complemented
10C2×#63848C212yesmaximal, complemented
11C2×#5644—31nomaximal
12C2×#5617—31nomaximal
13C24×C3⋊D3C2211yescharacteristic
14C23×C32×C4C2211yescharacteristic
15C23×C3⋊Dic3C2211yescharacteristic
16C22×C3×#67C2212yes—
17C22×C3×D12C2211yescharacteristic, complemented
18C22×C3×Dic6C2211yescharacteristic, complemented
19C22×#626C2212yes—
20C22×#626C2212yes—
21C22×D3×Dic3C2212yescomplemented
22C2×#3752C2212yes—
23C2×#3752C2212yes—
24C2×#3752C2218yescomplemented
25C2×C3×#217C2212yes—
26C3×#930C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yescomplemented
28C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
29C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
30C3×#924C2218yescomplemented
31C2×C3×Dic3⋊C4C2212yescomplemented
32#63981C22116yescomplemented
33#67⋊Dic3C22116yescomplemented
34C2×Dic3⋊Dic3C2212yescomplemented
35C2×#3722C2212yes—
36C2×#3722C2212yes—
37C2×(C2×D3)⋊Dic3C2212yescomplemented
38C2×Dic32C2212yescomplemented
39#63907C22116yescomplemented
40#63890C22116yescomplemented
41#63886C22116yescomplemented
42#63848C22116yescomplemented
43C2×C3×C22⋊Q8—31no—
44C2×C3×#121—31no—
45C2×#947—32no—
46C2×#939—32no—
47C2×#937—32no—
48C2×D4×Dic3—32no—
49C2×#930D311yescharacteristic, complemented
50C22×(C2×D3)⋊C4—31no—
51C22×(C2×D3)⋊C4—31no—
52C22×(C2×D3)⋊C4—61no—
53C2×#924D311yescharacteristic, complemented
54#5644—316no—
55#5617—316no—
56C2×#898—32no—
57C2×#898—32no—
58C2×#895—32no—
59C2×#894—32no—
60C2×#886—32no—
61C2×#885—32no—
62C2×#882—32no—
63C2×#67⋊C4—32no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3—24no—
66C23×C3⋊D3—42no—
67C23×C3⋊D3—42no—
68C23×C3⋊D3C2312yes—
69C23×C3⋊D3C2314yes—
70C23×C3×D3C2312yes—
71C22×C32×C4—42no—
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C32×C4C2314yes—
75C22×C3⋊Dic3—42no—
76C22×C3⋊Dic3C2312yes—
77C22×C3⋊Dic3C2314yes—
78C2×C3×#67—28no—
79C2×C3×#67C2318yes—
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C2×C3×D12—42no—
84C2×C3×D12C2314yescomplemented
85C2×C3×Dic6—42no—
86C2×C3×Dic6C2314yescomplemented
87C2×#626—44no—
88C2×#626—44no—
89C2×#626C2318yes—
90C2×#626C2318yes—
91C2×D3×Dic3—44no—
92C2×D3×Dic3C2318yescomplemented
93#3752C2318yes—
94#3752C2318yes—
95C3×#217C2318yes—
96C3×(C2×D3)⋊C4C2318yescomplemented
97C3×C4⋊Dic3C2314yescomplemented
98C3×C4⋊Dic3C2314yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100Dic3⋊Dic3C2318yescomplemented
101#3722C2318yes—
102#3722C2318yes—
103(C2×D3)⋊Dic3C2318yescomplemented
104Dic32C2318yescomplemented
105C2×#538—91noSylow
106C24×D3—31no—
107C24×D3—31no—
108C24×D3—61no—
109C22×C3×Q8—31no—
110C22×C3×D4—32no—
111C22×C3×D4—31no—
112C23×C3×C4—21no—
113C23×C3×C4C2×D311yescharacteristic
114C23×C3×C4C2×D311yescharacteristic
115C22×#67—32no—
116C22×#67—32no—
117C22×#67C2×D312yes—
118C23×Dic3—31no—
119C23×Dic3—31no—
120C23×Dic3—32no—
121C23×Dic3—61no—
122C22×D12—32no—
123C22×D12—32no—
124C22×D12C2×D311yescharacteristic, complemented
125C22×C4×D3—32no—
126C22×Dic6C2×D311yescharacteristic, complemented
127C3×C22⋊Q8—38no—
128C3×#121—38no—
129C2×C3×C4⋊C4—32no—
130C2×C3×C4⋊C4—31no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—32no—
134C2×#217—32no—
135C2×#217C2×D312yes—
136#947—316no—
137#939—316no—
138#937—316no—
139D4×Dic3—316no—
140#930C2×D318yescomplemented
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—38no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—38no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—62no—
153C2×(C2×D3)⋊C4—62no—
154C2×(C2×D3)⋊C4—68no—
155C2×(C2×D3)⋊C4C2×D312yescomplemented
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3C2×D311yescharacteristic, complemented
158C2×C4⋊Dic3C2×D311yescharacteristic, complemented
159#924C2×D318yescomplemented
160C2×Dic3⋊C4—32no—
161C2×Dic3⋊C4C2×D312yescomplemented
162C2×C4×Dic3—32no—
163C2×C4×Dic3—32no—
164#898—316no—
165#898—316no—
166#895—316no—
167#894—316no—
168#886—316no—
169#885—316no—
170#882—316no—
171#67⋊C4—316no—
172C23×C32—22no—
173C23×C32—22no—
174C23×C32#4114yes—
175C23×C32C2412yes—
176C23×C32C2411yescharacteristic
177C22×C3⋊D3—28no—
178C22×C3⋊D3—24no—
179C22×C3⋊D3—24no—
180C22×C3⋊D3—24no—
181C22×C3⋊D3—44no—
182C22×C3⋊D3—44no—
183C22×C3⋊D3—416no—
184C22×C3⋊D3C2414yes—
185C22×C3×D3—24no—
186C22×C3×D3—24no—
187C22×C3×D3—24no—
188C22×C3×D3C2414yes—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4—44no—
192C2×C32×C4C2412yes—
193C2×C32×C4C2412yes—
194C2×C3⋊Dic3—24no—
195C2×C3⋊Dic3—44no—
196C2×C3⋊Dic3C2414yes—
197C3×#67—216no—
198C2×C3×Dic3—24no—
199C2×C3×Dic3—24no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3C2414yes—
202C2×C3×Dic3C2414yes—
203C2×C3×Dic3C2414yes—
204C3×D12—44no—
205C3×Dic6—44no—
206#626—48no—
207#626—48no—
208D3×Dic3—48no—
209#538—916no—
210C2×#126—92no—
211C2×#124—92no—
212C2×#123—92no—
213C2×C22⋊Q8—31no—
214C2×#121—31no—
215C2×#121—92no—
216C2×#120—92no—
217C2×C4×D4—92no—
218C22×C22⋊C4—91no—
219C24×C3—21no—
220C24×C3—32no—
221C24×C3C22×D311yescharacteristic
222C24×C3C22×D311yescharacteristic
223C23×D3—32no—
224C23×D3—32no—
225C23×D3—34no—
226C23×D3—34no—
227C23×D3—62no—
228C23×D3—64no—
229C23×D3—68no—
230C23×D3—64no—
231C23×D3—64no—
232C23×D3—122no—
233C23×D3—122no—
234C23×D3—122no—
235C23×D3—122no—
236C23×D3—124no—
237C23×D3—124no—
238C23×D3C22×D312yes—
239C2×C3×Q8—34no—
240C2×C3×Q8—122no—
241C2×C3×D4—38no—
242C2×C3×D4—34no—
243C2×C3×D4—68no—
244C2×C3×D4—122no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—24no—
248C22×C3×C4—32no—
249C22×C3×C4—32no—
250C22×C3×C4—32no—
251C22×C3×C4—42no—
252C22×C3×C4—42no—
253C22×C3×C4—44no—
254C22×C3×C4C22×D311yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C22×D314yes—
259C22×C3×C4C22×D314yes—
260C2×#67—28no—
261C2×#67—38no—
262C2×#67—38no—
263C2×#67—124no—
264C2×#67—124no—
265C2×#67C22×D318yes—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—34no—
269C22×Dic3—34no—
270C22×Dic3—38no—
271C22×Dic3—62no—
272C22×Dic3—64no—
273C22×Dic3—124no—
274C22×Dic3—122no—
275C22×Dic3—122no—
276C22×Dic3—124no—
277C22×Dic3C22×D312yes—
278C22×Dic3C22×D312yes—
279C22×Dic3C22×D312yes—
280C2×D12—38no—
281C2×D12—38no—
282C2×D12—42no—
283C2×D12—124no—
284C2×D12—124no—
285C2×D12C22×D314yescomplemented
286C2×C4×D3—38no—
287C2×C4×D3—124no—
288C2×Dic6—42no—
289C2×Dic6C22×D314yescomplemented
290C3×C4⋊C4—34no—
291C3×C4⋊C4—38no—
292C3×C4⋊C4—34no—
293C3×C22⋊C4—38no—
294C3×C22⋊C4—38no—
295#217—38no—
296#217C22×D318yes—
297(C2×D3)⋊C4—38no—
298(C2×D3)⋊C4—38no—
299(C2×D3)⋊C4—38no—
300(C2×D3)⋊C4—38no—
301(C2×D3)⋊C4—38no—
302(C2×D3)⋊C4—38no—
303(C2×D3)⋊C4—38no—
304(C2×D3)⋊C4—38no—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—68no—
307(C2×D3)⋊C4—68no—
308(C2×D3)⋊C4C22×D318yescomplemented
309C4⋊Dic3—38no—
310C4⋊Dic3C22×D314yescomplemented
311C4⋊Dic3C22×D314yescomplemented
312Dic3⋊C4—38no—
313Dic3⋊C4C22×D318yescomplemented
314C4×Dic3—38no—
315C4×Dic3—38no—
316C22×C32—28no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32C2×#4114yes—
320C22×C32C2×#4112yes—
321C22×C32H(5,𝔽2)12yes—
322C22×C32H(5,𝔽2)12yes—
323C22×C32C2511yescharacteristic
324C2×C3⋊D3—24no—
325C2×C3⋊D3—24no—
326C2×C3⋊D3—24no—
327C2×C3⋊D3—416no—
328C2×C3⋊D3—48no—
329C2×C3×D3—24no—
330C2×C3×D3—24no—
331C2×C3×D3—24no—
332C2×C3×D3—48no—
333C32×C4—22no—
334C32×C4—22no—
335C3⋊Dic3—24no—
336C3×Dic3—24no—
337C3×Dic3—24no—
338C3×Dic3—24no—
339C25—91no—
340C22×Q8—31no—
341C22×D4—32no—
342C22×D4—31no—
343C22×D4—92no—
344C22×D4—92no—
345C23×C4—92no—
346C23×C4—91no—
347C23×C4D3211yescharacteristic
348#126—916no—
349#124—916no—
350#123—916no—
351C22⋊Q8—38no—
352#121—38no—
353#121—916no—
354#120—916no—
355C4×D4—916no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—32no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—92no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—98no—
368C2×C42—92no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—21no—
377C23×C3—24no—
378C23×C3—34no—
379C23×C3—64no—
380C23×C3—64no—
381C23×C3—64no—
382C23×C3#23714yes—
383C23×C3#23914yes—
384C23×C3C23×D312yes—
385C23×C3C23×D312yes—
386C23×C3C23×D311yescharacteristic
387C23×C3C23×D311yescharacteristic
388C22×D3—24no—
389C22×D3—24no—
390C22×D3—24no—
391C22×D3—34no—
392C22×D3—34no—
393C22×D3—64no—
394C22×D3—616no—
395C22×D3—68no—
396C22×D3—68no—
397C22×D3—64no—
398C22×D3—64no—
399C22×D3—64no—
400C22×D3—68no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—64no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3—124no—
407C22×D3—124no—
408C22×D3—124no—
409C22×D3—124no—
410C22×D3—128no—
411C22×D3—128no—
412C22×D3—1232no—
413C22×D3—1216no—
414C22×D3—1216no—
415C22×D3C23×D314yes—
416C3×Q8—124no—
417C3×D4—616no—
418C3×D4—124no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—34no—
426C2×C3×C4—34no—
427C2×C3×C4—34no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—44no—
431C2×C3×C4—44no—
432C2×C3×C4—48no—
433C2×C3×C4—64no—
434C2×C3×C4—64no—
435C2×C3×C4—64no—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440#67—216no—
441#67—128no—
442#67—128no—
443C2×Dic3—24no—
444C2×Dic3—24no—
445C2×Dic3—24no—
446C2×Dic3—34no—
447C2×Dic3—34no—
448C2×Dic3—64no—
449C2×Dic3—64no—
450C2×Dic3—64no—
451C2×Dic3—124no—
452C2×Dic3—128no—
453C2×Dic3—124no—
454C2×Dic3—124no—
455C2×Dic3—128no—
456C2×Dic3C23×D314yes—
457C2×Dic3C23×D314yes—
458C2×Dic3C23×D314yes—
459D12—44no—
460D12—128no—
461D12—128no—
462C4×D3—128no—
463Dic6—44no—
464C2×C32—24no—
465C2×C32#53814yescomplemented
466C2×C32C22×#4111yescharacteristic
467C2×C32C2×H(5,𝔽2)11yescharacteristic
468C2×C32C2×H(5,𝔽2)11yescharacteristic
469C3⋊D3—44no—
470C3×D3—44no—
471C24—32no—
472C24—92no—
473C24—94no—
474C24—184no—
475C24—362no—
476C24—362no—
477C24C2×D3211yescharacteristic
478C2×Q8—34no—
479C2×Q8—122no—
480C2×D4—38no—
481C2×D4—34no—
482C2×D4—68no—
483C2×D4—98no—
484C2×D4—98no—
485C2×D4—122no—
486C2×D4—364no—
487C2×D4—364no—
488C22×C4—32no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—42no—
492C22×C4—98no—
493C22×C4—92no—
494C22×C4—94no—
495C22×C4—364no—
496C22×C4—362no—
497C22×C4C2×D3211yescharacteristic
498C22×C4C2×D3211yescharacteristic
499C22×C4C2×D3214yes—
500C4⋊C4—34no—
501C4⋊C4—38no—
502C4⋊C4—34no—
503C4⋊C4—98no—
504C22⋊C4—38no—
505C22⋊C4—38no—
506C22⋊C4—98no—
507C22⋊C4—98no—
508C22⋊C4—98no—
509C22⋊C4—98no—
510C22⋊C4—98no—
511C42—98no—
512C22×C3—24no—
513C22×C3—24no—
514C22×C3—216no—
515C22×C3—28no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—22no—
520C22×C3—28no—
521C22×C3—24no—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—21no—
526C22×C3—64no—
527C22×C3—64no—
528C22×C3—64no—
529C22×C3—128no—
530C22×C3C2×#23714yes—
531C22×C3C2×#23712yes—
532C22×C3#100412yes—
533C22×C3#100412yes—
534C22×C3C2×#23914yes—
535C22×C3C2×#23912yes—
536C22×C3#100912yes—
537C22×C3#100912yes—
538C22×C3C24×D311yescharacteristic
539C22×C3C24×D311yescharacteristic
540C2×D3—24no—
541C2×D3—24no—
542C2×D3—24no—
543C2×D3—48no—
544C2×D3—68no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—64no—
549C2×D3—64no—
550C2×D3—64no—
551C2×D3—124no—
552C2×D3—124no—
553C2×D3—1232no—
554C2×D3—1216no—
555C2×D3—1216no—
556C2×D3—1216no—
557C2×D3—128no—
558C2×D3—128no—
559C3×C4—22no—
560C3×C4—22no—
561C3×C4—22no—
562C3×C4—22no—
563C3×C4—42no—
564C3×C4—42no—
565C3×C4—64no—
566C3×C4—64no—
567C3×C4—64no—
568Dic3—24no—
569Dic3—24no—
570Dic3—24no—
571Dic3—64no—
572Dic3—64no—
573Dic3—124no—
574C32C2×#53811yescharacteristic, complemented, Sylow
575C23—22no—
576C23—22no—
577C23—34no—
578C23—64no—
579C23—64no—
580C23—64no—
581C23—94no—
582C23—188no—
583C23—184no—
584C23—184no—
585C23—184no—
586C23—364no—
587C23—364no—
588C23—3616no—
589C23#379614yes—
590C23C22×D3212yes—
591C23C22×D3211yescharacteristic
592Q8—124no—
593D4—616no—
594D4—124no—
595D4—368no—
596D4—368no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—34no—
600C2×C4—34no—
601C2×C4—34no—
602C2×C4—44no—
603C2×C4—64no—
604C2×C4—64no—
605C2×C4—64no—
606C2×C4—94no—
607C2×C4—184no—
608C2×C4—368no—
609C2×C4—364no—
610C2×C4C22×D3212yes—
611C2×C4C22×D3212yes—
612C2×C3—28no—
613C2×C3—24no—
614C2×C3—24no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—24no—
619C2×C3—124no—
620C2×C3#561714yescomplemented
621C2×C3#564414yescomplemented
622C2×C3C22×#23711yescharacteristic
623C2×C3C2×#100411yescharacteristic
624C2×C3C2×#100411yescharacteristic
625C2×C3C22×#23911yescharacteristic
626C2×C3C2×#100911yescharacteristic
627C2×C3C2×#100911yescharacteristic
628D3—44no—
629D3—128no—
630D3—124no—
631D3—124no—
632C22—22no—
633C22—22no—
634C22—28no—
635C22—64no—
636C22—64no—
637C22—64no—
638C22—128no—
639C22—184no—
640C22—184no—
641C22—184no—
642C22—3616no—
643C22—368no—
644C22C2×#379614yes—
645C22C2×#379612yes—
646C22#6430812yes—
647C22#6433012yes—
648C22C23×D3211yescharacteristic
649C4—22no—
650C4—22no—
651C4—64no—
652C4—64no—
653C4—64no—
654C4—184no—
655C3—21no—
656C3C2×#561711yescharacteristic, complemented
657C3C2×#564411yescharacteristic, complemented
658C2—24no—
659C2—124no—
660C2—364no—
661C2#1059497914yesdirect product factor
662C2C22×#379611yescharacteristic
663C2C2×#6430811yescharacteristic
664C2C2×#6433011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#538
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×#3752C2semidirect
2. C2×C3×#930C2semidirect
3. C2×C3×#924C2semidirect
4. C2×#63981C2semidirect
5. C2×#67⋊Dic3C2semidirect
6. C2×#63907C2semidirect
7. #10594979C2direct (N × H)
8. C2×#63890C2semidirect
9. C2×#63886C2semidirect
10. C2×#63848C2semidirect
17. C22×C3×D12C22semidirect
18. C22×C3×Dic6C22semidirect
21. C22×D3×Dic3C22semidirect
24. C2×#3752C22semidirect
26. C3×#930C22semidirect
27. C2×C3×(C2×D3)⋊C4C22semidirect
28. C2×C3×C4⋊Dic3C22semidirect
29. C2×C3×C4⋊Dic3C22semidirect
30. C3×#924C22semidirect
31. C2×C3×Dic3⋊C4C22semidirect
32. #63981C22semidirect
33. #67⋊Dic3C22semidirect
34. C2×Dic3⋊Dic3C22semidirect
37. C2×(C2×D3)⋊Dic3C22semidirect
38. C2×Dic32C22semidirect
39. #63907C22semidirect
40. #63890C22semidirect
41. #63886C22semidirect
42. #63848C22semidirect
49. C2×#930D3semidirect
53. C2×#924D3semidirect
84. C2×C3×D12C23semidirect
86. C2×C3×Dic6C23semidirect
92. C2×D3×Dic3C23semidirect
96. C3×(C2×D3)⋊C4C23semidirect
97. C3×C4⋊Dic3C23semidirect
98. C3×C4⋊Dic3C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. Dic3⋊Dic3C23semidirect
103. (C2×D3)⋊Dic3C23semidirect
104. Dic32C23semidirect
124. C22×D12C2×D3semidirect
126. C22×Dic6C2×D3semidirect
140. #930C2×D3semidirect
155. C2×(C2×D3)⋊C4C2×D3semidirect
157. C2×C4⋊Dic3C2×D3semidirect
158. C2×C4⋊Dic3C2×D3semidirect
159. #924C2×D3semidirect
161. C2×Dic3⋊C4C2×D3semidirect
285. C2×D12C22×D3semidirect
289. C2×Dic6C22×D3semidirect
308. (C2×D3)⋊C4C22×D3semidirect
310. C4⋊Dic3C22×D3semidirect
311. C4⋊Dic3C22×D3semidirect
313. Dic3⋊C4C22×D3semidirect
465. C2×C32#538semidirect
574. C32C2×#538semidirect
620. C2×C3#5617semidirect
621. C2×C3#5644semidirect
656. C3C2×#5617semidirect
657. C3C2×#5644semidirect
661. C2#10594979direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37522
C2×C3×#9302
C2×C3×#9242
C2×#639812
C2×#67⋊Dic32
C2×#639072
#105949792
C2×#638902
C2×#638862
C2×#638482
C2×#56443
C2×#56173