Finite Group Databasebeta

← #11804833

Subgroups — #11804833

Order 1152.

2301 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3828C211yesmaximal, characteristic
2C2×#63952C212yesmaximal, complemented
3C3×#5211C211yesmaximal, characteristic, complemented
4C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
5#10591711C212yesmaximal, complemented
6#10591380C212yesmaximal, complemented
7#10591370C211yesmaximal, characteristic, complemented
8#10591355C211yesmaximal, characteristic, complemented
9#10591273C212yesmaximal, complemented
10#10591260C211yesmaximal, characteristic, complemented
11#10591219C211yesmaximal, characteristic, complemented
12#74121—31nomaximal
13#73368—31nomaximal
14C23×C32×C4C2211yescharacteristic
15C22×#638C2211yescharacteristic
16C22×#638C2211yescharacteristic
17C2×#3828—28no—
18C2×#3828C418yescomplemented
19C22×C4⋊(C3⋊D3)C2211yescharacteristic
20C22×C4×C3⋊D3C2211yescharacteristic
21C22×C4×C3⋊D3C2211yescharacteristic
22C22×#634C2211yescharacteristic
23C23×C3×Dic3C2212yes—
24C22×#624C2212yes—
25C2×C3×#217C2212yes—
26C2×#3724C2212yes—
27C2×#3722C2212yes—
28C2×#3722C2212yes—
29C2×#3722C2212yes—
30C2×Dic32C2212yes—
31#63952—28no—
32C3×C3⋊#95C2211yescharacteristic
33C3×C3⋊#95C2211yescharacteristic
34C3×C3⋊#95C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2211yescharacteristic
37C3×C3⋊#95C2211yescharacteristic
38#63579C2212yes—
39#63579C2212yes—
40C22×#235—31no—
41C22×#235—31no—
42C22×#235—61no—
43C2×C4×#67—32no—
44C2×#67⋊C4—32no—
45C3×#381—31no—
46C2×C3×#95—31no—
47#5213—32no—
48#5211D311yescharacteristic, complemented
49C2×C3⋊#95D311yescharacteristic, complemented
50#4958—32no—
51#4667—31no—
52#4667—31no—
53#4666—31no—
54#4666—31no—
55#4665—32no—
56#4665—32no—
57#4664—31no—
58#4664—31no—
59D3×#95—31no—
60D3×#95—31no—
61#4646—32no—
62#4646—32no—
63C24×C32C2311yescharacteristic
64C23×C3⋊D3C2311yescharacteristic
65C23×C3⋊D3C2311yescharacteristic
66C22×C32×C4—24no—
67C22×C32×C4C2×C414yescomplemented
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C2×#638—24no—
71C2×#638C2×C414yes—
72C2×#638C2×C414yescomplemented
73C2×#638D418yes—
74C22×C3⋊Dic3C2311yescharacteristic
75C22×C3⋊Dic3C2311yescharacteristic
76#3828—232no—
77C2×C4⋊(C3⋊D3)—24no—
78C2×C4⋊(C3⋊D3)C2×C414yescomplemented
79C2×C4×C3⋊D3—24no—
80C2×C4×C3⋊D3—24no—
81C2×C4×C3⋊D3C2×C414yescomplemented
82C2×C4×C3⋊D3C2×C414yescomplemented
83C2×#634—24no—
84C2×#634C2×C414yescomplemented
85C22×C3×Dic3—24no—
86C22×C3×Dic3—24no—
87C22×C3×Dic3—42no—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2312yes—
92C2×#624—24no—
93C2×#624—24no—
94C2×#624—42no—
95C3×#217—24no—
96#3724—24no—
97#3722—24no—
98#3722—24no—
99#3722—42no—
100Dic32—24no—
101#2339—91noSylow
102C23×C3×C4—21no—
103C23×C3×C4—32no—
104C23×C3×C4C2×D311yescharacteristic
105C23×C3×C4C2×D311yescharacteristic
106C22×#67—31no—
107C22×#67—31no—
108C22×#67—31no—
109C22×#67—31no—
110C22×#67—61no—
111C22×#67—61no—
112C23×Dic3C2×D312yes—
113C2×#235—38no—
114C2×#235—38no—
115C2×#235—68no—
116C2×#235—68no—
117C2×#235—68no—
118C2×#235—616no—
119C22×D12—31no—
120C22×D12—31no—
121C22×D12—61no—
122C22×C4×D3—31no—
123C22×C4×D3—31no—
124C22×C4×D3—31no—
125C22×C4×D3—31no—
126C22×C4×D3—32no—
127C22×C4×D3—32no—
128C22×C4×D3—61no—
129C22×C4×D3—61no—
130C22×Dic6—31no—
131C22×Dic6—31no—
132C22×Dic6—61no—
133C2×C3×C22⋊C4—32no—
134C2×#217C2×D312yes—
135C4×#67—68no—
136C2×(C2×D3)⋊C4—32no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×Dic3⋊C4—32no—
143C2×Dic3⋊C4—32no—
144C2×C4×Dic3—32no—
145C2×C4×Dic3—32no—
146#67⋊C4—68no—
147C3×#95—32no—
148C3×#95—32no—
149C3×#95—31no—
150C3×#95—31no—
151C3×#95—31no—
152C3×#95—31no—
153C3⋊#95—32no—
154C3⋊#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95C2×D312yes—
158C3⋊#95C2×D312yes—
159C3⋊#95C2×D311yescharacteristic
160C3⋊#95C2×D311yescharacteristic
161C3⋊#95C2×D311yescharacteristic
162C3⋊#95C2×D311yescharacteristic
163C23×C32—22no—
164C23×C32—21no—
165C23×C32—21no—
166C23×C32C22×C412yes—
167C23×C32C2×D414yes—
168C23×C32C2411yescharacteristic
169C22×C3⋊D3—22no—
170C22×C3⋊D3—22no—
171C22×C3⋊D3—21no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3—21no—
175C22×C3⋊D3—21no—
176C22×C3⋊D3C22×C412yes—
177C22×C3⋊D3C22×C412yes—
178C22×C3⋊D3C2×D414yes—
179C2×C32×C4—28no—
180C2×C32×C4—22no—
181C2×C32×C4—22no—
182C2×C32×C4C22×C412yes—
183C2×C32×C4C22×C412yes—
184#638—28no—
185#638C22⋊C4116yescomplemented
186C2×C3⋊Dic3—22no—
187C2×C3⋊Dic3C22×C412yes—
188C2×C3⋊Dic3C22×C412yes—
189C2×C3⋊Dic3C2×D414yes—
190C4⋊(C3⋊D3)—28no—
191C4×C3⋊D3—28no—
192C4×C3⋊D3—28no—
193#634—28no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—48no—
206C2×C3×Dic3#4114yescomplemented
207#624—48no—
208C22×#41—91no—
209C2×C4×D4—92no—
210#391—92no—
211#386—92no—
212#386—92no—
213#381—31no—
214#381—91no—
215#380—91no—
216C4×C22⋊C4—91no—
217C2×#95—31no—
218C2×#95—91no—
219C24×C3—21no—
220C24×C3C22×D311yescharacteristic
221C24×C3C22×D311yescharacteristic
222C23×D3—31no—
223C23×D3—31no—
224C23×D3—31no—
225C23×D3—31no—
226C23×D3—61no—
227C23×D3—61no—
228C22×C3×C4—28no—
229C22×C3×C4—24no—
230C22×C3×C4—24no—
231C22×C3×C4—24no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—32no—
235C22×C3×C4—32no—
236C22×C3×C4—32no—
237C22×C3×C4—32no—
238C22×C3×C4—64no—
239C22×C3×C4—64no—
240C22×C3×C4—122no—
241C22×C3×C4C4×D314yescomplemented
242C22×C3×C4C4×D314yescomplemented
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C22×D311yescharacteristic
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C2×#67—34no—
248C2×#67—34no—
249C2×#67—38no—
250C2×#67—38no—
251C2×#67—34no—
252C2×#67—34no—
253C2×#67—64no—
254C2×#67—64no—
255C2×#67—68no—
256C2×#67—68no—
257C2×#67—64no—
258C2×#67—64no—
259C22×Dic3—24no—
260C22×Dic3—24no—
261C22×Dic3—31no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—42no—
266C22×Dic3—61no—
267C22×Dic3—61no—
268C22×Dic3C22×D312yes—
269C22×Dic3C22×D312yes—
270C22×Dic3C22×D312yes—
271C22×Dic3C22×D312yes—
272#235—632no—
273#235—632no—
274#235—664no—
275C2×D12—34no—
276C2×D12—34no—
277C2×D12—64no—
278C2×D12—64no—
279C2×D12—64no—
280C2×D12—68no—
281C2×C4×D3—34no—
282C2×C4×D3—34no—
283C2×C4×D3—34no—
284C2×C4×D3—34no—
285C2×C4×D3—64no—
286C2×C4×D3—64no—
287C2×C4×D3—64no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—68no—
292C2×C4×D3—68no—
293C2×C4×D3—64no—
294C2×C4×D3—64no—
295C2×C4×D3—64no—
296C2×C4×D3—64no—
297C2×C4×D3—122no—
298C2×C4×D3—122no—
299C2×Dic6—34no—
300C2×Dic6—34no—
301C2×Dic6—64no—
302C2×Dic6—64no—
303C2×Dic6—64no—
304C2×Dic6—68no—
305C3×C22⋊C4—64no—
306#217—24no—
307(C2×D3)⋊C4—64no—
308(C2×D3)⋊C4—64no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311(C2×D3)⋊C4—122no—
312(C2×D3)⋊C4—122no—
313Dic3⋊C4—64no—
314Dic3⋊C4—64no—
315C4×Dic3—64no—
316C4×Dic3—64no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32—24no—
320C22×C32—24no—
321C22×C32C2×C22⋊C414yes—
322C22×C32C23×C411yescharacteristic
323C22×C32C22×D412yes—
324C22×C32C2×#4112yes—
325C22×C32H(5,𝔽2)11yescharacteristic
326C22×C322−1+411yescharacteristic
327C2×C3⋊D3—22no—
328C2×C3⋊D3—22no—
329C2×C3⋊D3—22no—
330C2×C3⋊D3—24no—
331C2×C3⋊D3—24no—
332C2×C3⋊D3—22no—
333C2×C3⋊D3—22no—
334C2×C3⋊D3—42no—
335C2×C3⋊D3—42no—
336C2×C3⋊D3C2×C22⋊C414yes—
337C32×C4—22no—
338C32×C4—22no—
339C3⋊Dic3—22no—
340C3⋊Dic3C2×C22⋊C414yes—
341C3×Dic3—24no—
342C3×Dic3—42no—
343C3×Dic3—42no—
344C3×Dic3—42no—
345C2×#41—98no—
346C2×#41—188no—
347C22×Q8—91no—
348C22×D4—91no—
349C22×D4—91no—
350C22×D4—91no—
351C23×C4—32no—
352C23×C4—92no—
353C23×C4—91no—
354C23×C4—91no—
355C23×C4D3211yescharacteristic
356C4×D4—188no—
357C2×C4⋊C4—92no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—92no—
360C2×C22⋊C4—92no—
361C2×C22⋊C4—92no—
362C2×C42—92no—
363#95—31no—
364#95—31no—
365#95—32no—
366#95—31no—
367#95—31no—
368#95—32no—
369#95—92no—
370#95—92no—
371C23×C3—22no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—22no—
379C23×C3—24no—
380C23×C3—41no—
381C23×C3—42no—
382C23×C3—41no—
383C23×C3C2×C4×D312yes—
384C23×C3C2×C4×D312yes—
385C23×C3D3×D414yes—
386C23×C3D3×D414yes—
387C23×C3C23×D311yescharacteristic
388C23×C3C23×D311yescharacteristic
389C22×D3—32no—
390C22×D3—32no—
391C22×D3—34no—
392C22×D3—34no—
393C22×D3—32no—
394C22×D3—32no—
395C22×D3—62no—
396C22×D3—62no—
397C22×D3—64no—
398C22×D3—62no—
399C22×D3—61no—
400C22×D3—61no—
401C22×D3—62no—
402C22×D3—61no—
403C22×D3—61no—
404C22×D3—64no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—61no—
409C22×D3—61no—
410C22×D3—62no—
411C22×D3—61no—
412C22×D3—61no—
413C22×D3—121no—
414C22×D3—122no—
415C22×D3—121no—
416C22×D3—121no—
417C22×D3—122no—
418C22×D3—121no—
419C2×C3×C4—24no—
420C2×C3×C4—24no—
421C2×C3×C4—216no—
422C2×C3×C4—28no—
423C2×C3×C4—28no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—34no—
431C2×C3×C4—62no—
432C2×C3×C4—62no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—62no—
442C2×C3×C4—128no—
443C2×C3×C4C2×C4×D312yes—
444C2×C3×C4C2×C4×D312yes—
445C2×C3×C4C2×C4×D312yes—
446C2×C3×C4C2×C4×D312yes—
447#67—316no—
448#67—316no—
449#67—616no—
450#67—616no—
451#67—68no—
452#67—68no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—32no—
465C2×Dic3—32no—
466C2×Dic3—34no—
467C2×Dic3—34no—
468C2×Dic3—32no—
469C2×Dic3—32no—
470C2×Dic3—48no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—64no—
474C2×Dic3—64no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3#23514yescomplemented
478D12—68no—
479D12—68no—
480D12—616no—
481C4×D3—68no—
482C4×D3—68no—
483C4×D3—68no—
484C4×D3—68no—
485C4×D3—616no—
486C4×D3—616no—
487C4×D3—128no—
488C4×D3—128no—
489Dic6—68no—
490Dic6—68no—
491Dic6—616no—
492C2×C32—24no—
493C2×C32C22×C22⋊C411yescharacteristic
494C2×C32C4×#4111yescharacteristic
495C2×C32#52011yescharacteristic
496C2×C32#54612yes—
497C2×C32#54712yes—
498C3⋊D3—24no—
499C3⋊D3—42no—
500C24—91no—
501C24—91no—
502C24C2×D3211yescharacteristic
503#41—1832no—
504C2×Q8—94no—
505C2×Q8—184no—
506C2×D4—94no—
507C2×D4—98no—
508C2×D4—94no—
509C2×D4—94no—
510C2×D4—184no—
511C2×D4—184no—
512C22×C4—24no—
513C22×C4—32no—
514C22×C4—32no—
515C22×C4—32no—
516C22×C4—32no—
517C22×C4—64no—
518C22×C4—64no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—94no—
522C22×C4—94no—
523C22×C4—122no—
524C22×C4—184no—
525C22×C4—184no—
526C22×C4—184no—
527C22×C4—184no—
528C22×C4—362no—
529C22×C4#62414yescomplemented
530C22×C4C2×D3211yescharacteristic
531C22×C4C2×D3211yescharacteristic
532C4⋊C4—184no—
533C22⋊C4—64no—
534C22⋊C4—184no—
535C22⋊C4—184no—
536C22⋊C4—362no—
537C42—184no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—22no—
541C22×C3—24no—
542C22×C3—22no—
543C22×C3—24no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—22no—
548C22×C3—21no—
549C22×C3—21no—
550C22×C3—22no—
551C22×C3—24no—
552C22×C3—44no—
553C22×C3—44no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3D3×C22⋊C414yes—
557C22×C3D3×C22⋊C414yes—
558C22×C3C22×C4×D311yescharacteristic
559C22×C3C22×C4×D311yescharacteristic
560C22×C3C2×#23512yes—
561C22×C3C2×D3×D412yes—
562C22×C3C2×D3×D412yes—
563C22×C3#100411yescharacteristic
564C22×C3#100711yescharacteristic
565C22×C3D3×#4112yes—
566C22×C3#100911yescharacteristic
567C22×C3#101011yescharacteristic
568C2×D3—34no—
569C2×D3—34no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—62no—
574C2×D3—64no—
575C2×D3—62no—
576C2×D3—64no—
577C2×D3—62no—
578C2×D3—62no—
579C2×D3—64no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—124no—
587C2×D3—124no—
588C2×D3—122no—
589C2×D3—122no—
590C2×D3—122no—
591C2×D3—122no—
592C2×D3—124no—
593C2×D3—124no—
594C2×D3—122no—
595C2×D3—122no—
596C2×D3—122no—
597C2×D3—122no—
598C3×C4—24no—
599C3×C4—24no—
600C3×C4—22no—
601C3×C4—22no—
602C3×C4—22no—
603C3×C4—22no—
604C3×C4—64no—
605C3×C4—122no—
606C3×C4—122no—
607C3×C4—122no—
608Dic3—24no—
609Dic3—34no—
610Dic3—34no—
611Dic3—42no—
612Dic3—42no—
613Dic3—42no—
614Dic3—64no—
615Dic3—64no—
616Dic3—62no—
617Dic3—62no—
618C32#233911yescharacteristic, complemented, Sylow
619C23—21no—
620C23—22no—
621C23—21no—
622C23—92no—
623C23—94no—
624C23—92no—
625C23—181no—
626C23—182no—
627C23—181no—
628C23—181no—
629C23—182no—
630C23—181no—
631C23—182no—
632C23C2×#62412yes—
633C23#381114yes—
634C23C22×D3211yescharacteristic
635Q8—188no—
636D4—916no—
637D4—188no—
638D4—188no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—28no—
642C2×C4—34no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—92no—
655C2×C4—94no—
656C2×C4—92no—
657C2×C4—128no—
658C2×C4—188no—
659C2×C4—188no—
660C2×C4—182no—
661C2×C4—368no—
662C2×C4C2×#62412yes—
663C2×C4C2×#62412yes—
664C2×C3—24no—
665C2×C3—24no—
666C2×C3—22no—
667C2×C3—22no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—44no—
672C2×C3C4×#23511yescharacteristic
673C2×C3C2×D3×C22⋊C411yescharacteristic
674C2×C3C2×D3×C22⋊C411yescharacteristic
675C2×C3#549012yes—
676C2×C3#550411yescharacteristic
677C2×C3#550712yes—
678C2×C3#552211yescharacteristic
679C2×C3#552311yescharacteristic
680C2×C3#565412yes—
681C2×C3#565512yes—
682D3—64no—
683D3—64no—
684D3—124no—
685D3—124no—
686D3—122no—
687D3—122no—
688C22—24no—
689C22—24no—
690C22—22no—
691C22—22no—
692C22—94no—
693C22—184no—
694C22—184no—
695C22—182no—
696C22—182no—
697C22—182no—
698C22—182no—
699C22—182no—
700C22—362no—
701C22—362no—
702C22#6397414yes—
703C22#6429711yescharacteristic
704C22D3×#23512yes—
705C22#6430711yescharacteristic
706C22C22×#62411yescharacteristic
707C22C2×#381112yes—
708C4—22no—
709C4—22no—
710C4—64no—
711C4—94no—
712C4—122no—
713C4—122no—
714C4—122no—
715C4—182no—
716C3—21no—
717C3#7336811yescharacteristic, complemented
718C3#7412111yescharacteristic, complemented
719C2—24no—
720C2—184no—
721C2—362no—
722C2#1059491712yes—
723C2#1059495411yescharacteristic
724C2#1059499011yescharacteristic
725C2#1059507712yes—
726C2C2×#6397411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC23×C32×C4C22
socle, cosocleC23×C32C24
prime radicalC22×#3828C2
hypercenterC23×C4D32
hypocenterC32#2339
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C2×#63952C2semidirect
3. C3×#5211C2semidirect
4. C2×C3×C3⋊#95C2semidirect
5. #10591711C2semidirect
6. #10591380C2semidirect
7. #10591370C2semidirect
8. #10591355C2semidirect
9. #10591273C2semidirect
10. #10591260C2semidirect
11. #10591219C2semidirect
18. C2×#3828C4semidirect
48. #5211D3semidirect
49. C2×C3⋊#95D3semidirect
67. C22×C32×C4C2×C4semidirect
72. C2×#638C2×C4semidirect
78. C2×C4⋊(C3⋊D3)C2×C4semidirect
81. C2×C4×C3⋊D3C2×C4semidirect
82. C2×C4×C3⋊D3C2×C4semidirect
84. C2×#634C2×C4semidirect
185. #638C22⋊C4semidirect
206. C2×C3×Dic3#41semidirect
241. C22×C3×C4C4×D3semidirect
242. C22×C3×C4C4×D3semidirect
477. C2×Dic3#235semidirect
529. C22×C4#624semidirect
618. C32#2339semidirect
717. C3#73368semidirect
718. C3#74121semidirect

Maximal subgroups

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

subgroupindex
C22×#38282
C2×#639522
C3×#52112
C2×C3×C3⋊#952
#105917112
#105913802
#105913702
#105913552
#105912732
#105912602
#105912192
#741213
#733683