Finite Group Databasebeta

← #13171756

Subgroups — #13171756

Order 1728.

1646 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89028C211yesmaximal, characteristic
2C2×#88813C211yesmaximal, characteristic, complemented
3#11723622C212yesmaximal, complemented
4C3×#67⋊Dic3C212yesmaximal, complemented
5C3×#63957C211yesmaximal, characteristic, complemented
6#11722943C212yesmaximal, complemented
7#11722935C212yesmaximal, complemented
8#11722920C211yesmaximal, characteristic, complemented
9#11722916C211yesmaximal, characteristic, complemented
10#11722900C211yesmaximal, characteristic, complemented
11D3×Dic32C211yesmaximal, characteristic, complemented
12#10595190—31nomaximal
13#10594048—32nomaximal
14C2×#6312C2211yescharacteristic
15C22×C3×C3⋊Dic3C2212yes—
16C22×C3×C3⋊Dic3C2211yescharacteristic
17C2×C32×#67C2211yescharacteristic
18C2×#6293C2211yescharacteristic
19C2×#6291C2211yescharacteristic
20C2×#6289C2212yes—
21C2×#6289C2211yescharacteristic
22#89028C418yescomplemented
23C2×D3×C3⋊Dic3C2211yescharacteristic
24C2×C3×D3×Dic3C2212yes—
25C32×#217C2212yes—
26#88813C2211yescharacteristic
27#88813C2211yescharacteristic
28#88813C2212yes—
29#88806C2212yes—
30#88804C2212yes—
31Dic3×C3⋊Dic3C2212yes—
32C3×#3724C2212yes—
33C3×Dic3⋊Dic3C2212yes—
34C3×(C2×D3)⋊Dic3C2212yes—
35C3×Dic32C2211yescharacteristic
36C3×Dic32C2211yescharacteristic
37C3×Dic32C2212yes—
38C2×#3830—31no—
39C2×#3804—32no—
40C2×#3804—61no—
41#64090—32no—
42C3×D4×Dic3—32no—
43C3×#67⋊C4—32no—
44C3×#877—32no—
45#67⋊Dic3D312yescomplemented
46#63957—31no—
47#63957D311yescharacteristic, complemented
48C2×Dic32—32no—
49C2×Dic32—31no—
50C2×Dic32—31no—
51#63952—32no—
52#63952—32no—
53#63952—32no—
54#63952—62no—
55#63904—32no—
56C4×#624—32no—
57C4×#624—31no—
58#63881—32no—
59#63877—32no—
60C4×D3×Dic3—32no—
61#63849—31no—
62#63844—32no—
63#63838—32no—
64#63837—32no—
65#63836—32no—
66C23×C33C2311yescharacteristic
67C22×C3⋊(C3⋊D3)C2311yescharacteristic
68C22×C32×D3C2311yescharacteristic
69#6312C2×C414yescomplemented
70C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
71C2×C3×C3⋊Dic3—24no—
72C2×C3×C3⋊Dic3C2×C414yescomplemented
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C3×C3⋊Dic3C2312yes—
77C32×#67C2×C414yescomplemented
78C2×C32×Dic3C2312yes—
79C2×C32×Dic3C2312yes—
80C2×C32×Dic3C2311yescharacteristic
81#6293C2×C414yescomplemented
82#6291C2×C414yescomplemented
83#6289—24no—
84#6289C2×C414yescomplemented
85D3×C3⋊Dic3C2×C414yescomplemented
86C3×D3×Dic3—24no—
87C4×#237—92no—
88#5522—91no—
89C2×C32×D4—31no—
90C2×#638—32no—
91C2×#638—31no—
92C2×#638—31no—
93C2×#638—61no—
94C2×#638—62no—
95C2×#638—121no—
96C22×C3⋊Dic3—31no—
97C22×C3⋊Dic3C2×D312yes—
98C22×C3⋊Dic3C2×D311yescharacteristic
99#3830—38no—
100C2×C4×C3⋊D3—31no—
101C2×C4×C3⋊D3—32no—
102C2×#634—31no—
103C2×C3×#67—21no—
104C2×C3×#67C2×D312yes—
105C22×C3×Dic3—32no—
106C22×C3×Dic3—32no—
107C22×C3×Dic3—32no—
108C22×C3×Dic3—32no—
109C22×C3×Dic3—61no—
110C22×C3×Dic3—62no—
111C2×C3×C4×D3—32no—
112C2×#627—32no—
113C2×#627—61no—
114C2×#626—32no—
115C2×#626—61no—
116C2×#624—32no—
117C2×#624—32no—
118C2×#624—32no—
119C2×#624—61no—
120C2×#624—62no—
121#3804—316no—
122#3804—68no—
123C2×D3×Dic3—32no—
124C2×D3×Dic3—61no—
125C2×D3×Dic3C2×D312yes—
126C32×C22⋊C4—32no—
127#3752—32no—
128#3750—32no—
129C4×C3⋊Dic3—32no—
130C3×#217—22no—
131C3×#217—32no—
132C3×#217C2×D312yes—
133C3×#217C2×D312yes—
134C3×(C2×D3)⋊C4—32no—
135C3×C4⋊Dic3—32no—
136C3×Dic3⋊C4—32no—
137C3×Dic3⋊C4—32no—
138C3×Dic3⋊C4—32no—
139C3×C4×Dic3—32no—
140C3×C4×Dic3—32no—
141C3×C4×Dic3—32no—
142C3×C4×Dic3—32no—
143#3724—32no—
144#3724—32no—
145#3724—62no—
146#3724C2×D312yes—
147Dic3⋊Dic3C2×D312yes—
148#3722—32no—
149#3722—32no—
150#3722—62no—
151(C2×D3)⋊Dic3C2×D312yes—
152Dic32—32no—
153Dic32—32no—
154Dic32—32no—
155Dic32—32no—
156Dic32—31no—
157Dic32—32no—
158Dic32—31no—
159Dic32—32no—
160Dic32—32no—
161Dic32—62no—
162Dic32C2×D312yes—
163Dic32C2×D311yescharacteristic
164Dic32C2×D311yescharacteristic
165C22×C33—22no—
166C22×C33C22×C412yes—
167C22×C33C2411yescharacteristic
168C2×C3⋊(C3⋊D3)—22no—
169C2×C3⋊(C3⋊D3)C22×C412yes—
170C2×C32×D3—22no—
171C2×C32×D3C22×C412yes—
172C3⋊(C3⋊Dic3)C22×C412yes—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3C22×C412yes—
175C3×C3⋊Dic3C22×C412yes—
176C3×C3⋊Dic3#4114yescomplemented
177C32×Dic3—22no—
178C32×Dic3—22no—
179C32×Dic3C22×C412yes—
180C2×#237—92no—
181C2×#237—181no—
182C2×#235—91no—
183C3×C4×D4—92no—
184C3×#117—91no—
185D4×Dic3—32no—
186C4×#67—92no—
187C4×#67—92no—
188C2×C4×Dic3—92no—
189C2×C4×Dic3—91no—
190C2×C4×Dic3—92no—
191#893—92no—
192#892—92no—
193#887—92no—
194#887—92no—
195#67⋊C4—32no—
196#67⋊C4—92no—
197#67⋊C4—92no—
198#67⋊C4—92no—
199#67⋊C4—182no—
200#877—32no—
201#877—92no—
202#872—91no—
203#872—91no—
204C42×D3—91no—
205C42×D3—92no—
206C42×D3—91no—
207C4×Dic6—92no—
208C23×C32—22no—
209C23×C32—21no—
210C23×C32—31no—
211C23×C32—41no—
212C23×C32C22×D311yescharacteristic
213C23×C32C22×D312yes—
214C22×C3⋊D3—31no—
215C22×C3⋊D3—32no—
216C22×C3⋊D3—62no—
217C22×C3⋊D3—61no—
218C22×C3⋊D3—121no—
219C22×C3×D3—21no—
220C22×C3×D3C22×D312yes—
221C32×D4—34no—
222C2×C32×C4—31no—
223C2×C32×C4—32no—
224C2×C32×C4—32no—
225#638—38no—
226#638—34no—
227#638—34no—
228#638—64no—
229#638—68no—
230#638—124no—
231C2×C3⋊Dic3—24no—
232C2×C3⋊Dic3—31no—
233C2×C3⋊Dic3—32no—
234C2×C3⋊Dic3—34no—
235C2×C3⋊Dic3—62no—
236C2×C3⋊Dic3—61no—
237C2×C3⋊Dic3—121no—
238C2×C3⋊Dic3C4×D314yescomplemented
239C2×C3⋊Dic3C22×D312yes—
240C2×C3⋊Dic3C22×D311yescharacteristic
241C2×C3⋊Dic3C22×D311yescharacteristic
242C2×C3⋊Dic3C22×D312yes—
243C4×C3⋊D3—34no—
244C4×C3⋊D3—64no—
245#634—34no—
246C3×#67—24no—
247C3×#67C4×D318yescomplemented
248C2×C3×Dic3—21no—
249C2×C3×Dic3—22no—
250C2×C3×Dic3—22no—
251C2×C3×Dic3—38no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—32no—
254C2×C3×Dic3—32no—
255C2×C3×Dic3—32no—
256C2×C3×Dic3—32no—
257C2×C3×Dic3—32no—
258C2×C3×Dic3—62no—
259C2×C3×Dic3—64no—
260C2×C3×Dic3—61no—
261C2×C3×Dic3—61no—
262C2×C3×Dic3—62no—
263C2×C3×Dic3—64no—
264C2×C3×Dic3—64no—
265C2×C3×Dic3—64no—
266C2×C3×Dic3—124no—
267C2×C3×Dic3C22×D312yes—
268C2×C3×Dic3C22×D312yes—
269C2×C3×Dic3C22×D312yes—
270C2×C3×Dic3C22×D312yes—
271C2×C3×Dic3C22×D312yes—
272C3×C4×D3—64no—
273#627—38no—
274#627—64no—
275#626—38no—
276#626—64no—
277#624—38no—
278#624—64no—
279#624—64no—
280#624—64no—
281#624—124no—
282D3×Dic3—24no—
283D3×Dic3—38no—
284D3×Dic3—64no—
285C4×#41—271noSylow
286C2×C33—22no—
287C2×C33C23×C411yescharacteristic
288C2×C33C2×#4112yes—
289C3⋊(C3⋊D3)—22no—
290C32×D3—22no—
291C2×C3×D4—32no—
292C2×C3×D4—61no—
293C22×C3×C4—92no—
294C22×C3×C4—91no—
295C22×C3×C4—92no—
296C2×#67—92no—
297C2×#67—91no—
298C2×#67—92no—
299C2×#67—181no—
300C2×#67—182no—
301C2×#67—181no—
302C2×#67—361no—
303C2×#67D3211yescharacteristic
304C22×Dic3—32no—
305C22×Dic3—32no—
306C22×Dic3—32no—
307C22×Dic3—32no—
308C22×Dic3—61no—
309C22×Dic3—62no—
310C22×Dic3—92no—
311C22×Dic3—181no—
312#237—916no—
313#237—188no—
314#235—98no—
315C2×D12—91no—
316C2×C4×D3—32no—
317C2×C4×D3—92no—
318C2×C4×D3—91no—
319C2×C4×D3—91no—
320C2×C4×D3—92no—
321C2×C4×D3—92no—
322C2×C4×D3—92no—
323C2×C4×D3—181no—
324C2×C4×D3—182no—
325C2×Dic6—92no—
326C2×Dic6—91no—
327C2×Dic6—181no—
328C3×C4⋊C4—92no—
329C3×C4⋊C4—92no—
330C3×C22⋊C4—32no—
331C3×C22⋊C4—32no—
332C3×C22⋊C4—62no—
333C3×C22⋊C4—92no—
334C3×C42—92no—
335C3×C42—91no—
336C3×C42—91no—
337#217—32no—
338#217D3212yes—
339(C2×D3)⋊C4—32no—
340(C2×D3)⋊C4—92no—
341(C2×D3)⋊C4—92no—
342(C2×D3)⋊C4—92no—
343(C2×D3)⋊C4—182no—
344C4⋊Dic3—32no—
345Dic3⋊C4—32no—
346Dic3⋊C4—32no—
347Dic3⋊C4—32no—
348Dic3⋊C4—92no—
349Dic3⋊C4—92no—
350Dic3⋊C4—92no—
351Dic3⋊C4—182no—
352C4×Dic3—32no—
353C4×Dic3—32no—
354C4×Dic3—32no—
355C4×Dic3—32no—
356C4×Dic3—92no—
357C4×Dic3—91no—
358C4×Dic3—92no—
359C4×Dic3—91no—
360C4×Dic3—92no—
361C4×Dic3—92no—
362C4×Dic3—92no—
363C4×Dic3—92no—
364C4×Dic3—92no—
365C4×Dic3—92no—
366C4×Dic3—182no—
367C22×C32—22no—
368C22×C32—22no—
369C22×C32—22no—
370C22×C32—22no—
371C22×C32—21no—
372C22×C32—24no—
373C22×C32—22no—
374C22×C32—32no—
375C22×C32—41no—
376C22×C32—42no—
377C22×C32—42no—
378C22×C32—42no—
379C22×C32—42no—
380C22×C32—62no—
381C22×C32—82no—
382C22×C32C2×C4×D312yes—
383C22×C32C2×C4×D314yes—
384C22×C32C23×D312yes—
385C22×C32C23×D311yescharacteristic
386C2×C3⋊D3—34no—
387C2×C3⋊D3—32no—
388C2×C3⋊D3—62no—
389C2×C3⋊D3—64no—
390C2×C3⋊D3—62no—
391C2×C3⋊D3—62no—
392C2×C3⋊D3—62no—
393C2×C3⋊D3—122no—
394C2×C3⋊D3—122no—
395C2×C3⋊D3—122no—
396C2×C3⋊D3—122no—
397C2×C3⋊D3—242no—
398C2×C3×D3—22no—
399C2×C3×D3—22no—
400C2×C3×D3—22no—
401C2×C3×D3—42no—
402C2×C3×D3C2×C4×D314yes—
403C32×C4—32no—
404C32×C4—62no—
405C32×C4—62no—
406C3⋊Dic3—22no—
407C3⋊Dic3—34no—
408C3⋊Dic3—32no—
409C3⋊Dic3—62no—
410C3⋊Dic3—64no—
411C3⋊Dic3—122no—
412C3⋊Dic3C2×C4×D312yes—
413C3⋊Dic3C2×C4×D312yes—
414C3⋊Dic3#23714yescomplemented
415C3×Dic3—22no—
416C3×Dic3—22no—
417C3×Dic3—22no—
418C3×Dic3—22no—
419C3×Dic3—22no—
420C3×Dic3—34no—
421C3×Dic3—34no—
422C3×Dic3—34no—
423C3×Dic3—34no—
424C3×Dic3—42no—
425C3×Dic3—42no—
426C3×Dic3—62no—
427C3×Dic3—62no—
428C3×Dic3—64no—
429C3×Dic3—62no—
430C3×Dic3—62no—
431C3×Dic3—122no—
432C3×Dic3C2×C4×D314yes—
433C2×#41—271no—
434C4×Q8—272no—
435C4×D4—92no—
436C4×D4—272no—
437C4×D4—272no—
438#117—91no—
439#117—271no—
440#117—271no—
441C2×C42—271no—
442C2×C42—271no—
443C2×C42—271no—
444C33C4×#4111yescharacteristic, complemented, Sylow
445C23×C3—22no—
446C23×C3—21no—
447C23×C3—32no—
448C23×C3—41no—
449C23×C3—61no—
450C23×C3C2×D3212yes—
451C23×C3C2×D3211yescharacteristic
452C22×D3—91no—
453C22×D3—92no—
454C22×D3—182no—
455C22×D3—181no—
456C22×D3—361no—
457C22×D3C2×D3211yescharacteristic
458C3×D4—38no—
459C3×D4—64no—
460C2×C3×C4—32no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—61no—
466C2×C3×C4—62no—
467C2×C3×C4—62no—
468C2×C3×C4—92no—
469C2×C3×C4—91no—
470C2×C3×C4—91no—
471C2×C3×C4—94no—
472C2×C3×C4—92no—
473C2×C3×C4—184no—
474C2×C3×C4—184no—
475#67—98no—
476#67—98no—
477#67—94no—
478#67—184no—
479#67—184no—
480#67—188no—
481#67—364no—
482#67#62414yescomplemented
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—32no—
486C2×Dic3—32no—
487C2×Dic3—38no—
488C2×Dic3—32no—
489C2×Dic3—32no—
490C2×Dic3—64no—
491C2×Dic3—62no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—62no—
495C2×Dic3—64no—
496C2×Dic3—64no—
497C2×Dic3—64no—
498C2×Dic3—98no—
499C2×Dic3—91no—
500C2×Dic3—92no—
501C2×Dic3—124no—
502C2×Dic3—184no—
503C2×Dic3—182no—
504C2×Dic3—181no—
505C2×Dic3—361no—
506C2×Dic3C2×D3212yes—
507C2×Dic3C2×D3212yes—
508C2×Dic3C2×D3211yescharacteristic
509D12—94no—
510C4×D3—64no—
511C4×D3—98no—
512C4×D3—94no—
513C4×D3—94no—
514C4×D3—184no—
515C4×D3—184no—
516C4×D3—184no—
517C4×D3—184no—
518C4×D3—364no—
519Dic6—98no—
520Dic6—94no—
521Dic6—184no—
522C2×C32—22no—
523C2×C32—24no—
524C2×C32—22no—
525C2×C32—22no—
526C2×C32—22no—
527C2×C32—22no—
528C2×C32—21no—
529C2×C32—41no—
530C2×C32—42no—
531C2×C32—44no—
532C2×C32—42no—
533C2×C32—62no—
534C2×C32—82no—
535C2×C32C22×C4×D311yescharacteristic
536C2×C32C22×C4×D312yes—
537C2×C32C2×#23712yes—
538C2×C32D3×#4112yes—
539C2×C32D3×#4112yes—
540C3⋊D3—62no—
541C3⋊D3—64no—
542C3⋊D3—124no—
543C3⋊D3—122no—
544C3⋊D3—242no—
545C3×D3—24no—
546C3×D3—42no—
547#41—278no—
548C2×Q8—271no—
549C2×D4—31no—
550C2×D4—271no—
551C2×D4—271no—
552C22×C4—92no—
553C22×C4—91no—
554C22×C4—92no—
555C22×C4—271no—
556C22×C4—272no—
557C22×C4—271no—
558C4⋊C4—92no—
559C4⋊C4—92no—
560C4⋊C4—272no—
561C22⋊C4—32no—
562C22⋊C4—92no—
563C22⋊C4—272no—
564C42—91no—
565C42—91no—
566C42—92no—
567C42—272no—
568C42—271no—
569C42—271no—
570C42—272no—
571C22×C3—22no—
572C22×C3—22no—
573C22×C3—22no—
574C22×C3—22no—
575C22×C3—21no—
576C22×C3—22no—
577C22×C3—24no—
578C22×C3—34no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—42no—
582C22×C3—41no—
583C22×C3—42no—
584C22×C3—62no—
585C22×C3—62no—
586C22×C3—62no—
587C22×C3—82no—
588C22×C3—122no—
589C22×C3C4×D3214yes—
590C22×C3C2×#62412yes—
591C22×C3C22×D3212yes—
592C22×C3C22×D3211yescharacteristic
593C2×D3—22no—
594C2×D3—94no—
595C2×D3—92no—
596C2×D3—182no—
597C2×D3—184no—
598C2×D3—182no—
599C2×D3—182no—
600C2×D3—182no—
601C2×D3—362no—
602C2×D3—362no—
603C2×D3—362no—
604C2×D3—362no—
605C2×D3—722no—
606C2×D3C2×#62412yes—
607C3×C4—34no—
608C3×C4—62no—
609C3×C4—62no—
610C3×C4—62no—
611C3×C4—62no—
612C3×C4—62no—
613C3×C4—94no—
614C3×C4—92no—
615C3×C4—92no—
616C3×C4—122no—
617C3×C4—122no—
618C3×C4—182no—
619Dic3—22no—
620Dic3—22no—
621Dic3—34no—
622Dic3—34no—
623Dic3—34no—
624Dic3—34no—
625Dic3—62no—
626Dic3—62no—
627Dic3—64no—
628Dic3—62no—
629Dic3—62no—
630Dic3—94no—
631Dic3—92no—
632Dic3—122no—
633Dic3—182no—
634Dic3—184no—
635Dic3—362no—
636Dic3C2×#62412yes—
637C32—22no—
638C32—21no—
639C32—41no—
640C32#552211yescharacteristic, complemented
641C32C4×#23712yescomplemented
642C23—31no—
643C23—271no—
644C23D3311yescharacteristic
645Q8—274no—
646D4—34no—
647D4—274no—
648D4—274no—
649C2×C4—31no—
650C2×C4—32no—
651C2×C4—32no—
652C2×C4—91no—
653C2×C4—92no—
654C2×C4—91no—
655C2×C4—94no—
656C2×C4—92no—
657C2×C4—184no—
658C2×C4—184no—
659C2×C4—274no—
660C2×C4—274no—
661C2×C4—271no—
662C2×C4—544no—
663C2×C3—24no—
664C2×C3—22no—
665C2×C3—22no—
666C2×C3—22no—
667C2×C3—22no—
668C2×C3—21no—
669C2×C3—22no—
670C2×C3—42no—
671C2×C3—44no—
672C2×C3—42no—
673C2×C3—41no—
674C2×C3—64no—
675C2×C3—82no—
676C2×C3—122no—
677C2×C3C2×C4×D3212yes—
678C2×C3D3×#23712yes—
679C2×C3D3×#23712yes—
680C2×C3#6431212yes—
681C2×C3C22×#62411yescharacteristic
682D3—22no—
683D3—184no—
684D3—182no—
685D3—362no—
686D3—364no—
687D3—722no—
688C22—22no—
689C22—32no—
690C22—62no—
691C22—272no—
692C22—542no—
693C22D3×#62412yes—
694C22C2×D3311yescharacteristic
695C4—32no—
696C4—62no—
697C4—62no—
698C4—94no—
699C4—92no—
700C4—92no—
701C4—182no—
702C4—272no—
703C3—21no—
704C3—22no—
705C3—41no—
706C3#1059404812yescomplemented
707C3#1059519011yescharacteristic, complemented
708C2—22no—
709C2—62no—
710C2—542no—
711C2#1172440812yes—
712C2C2×D3×#62411yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC23×C33C23
socle, cosocleC22×C33C24
prime radicalC2×#89028C2
hypercenterC23D33
hypocenterC33C4×#41
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
2. C2×#88813C2semidirect
3. #11723622C2semidirect
4. C3×#67⋊Dic3C2semidirect
5. C3×#63957C2semidirect
6. #11722943C2semidirect
7. #11722935C2semidirect
8. #11722920C2semidirect
9. #11722916C2semidirect
10. #11722900C2semidirect
11. D3×Dic32C2semidirect
22. #89028C4semidirect
45. #67⋊Dic3D3semidirect
47. #63957D3semidirect
69. #6312C2×C4semidirect
72. C2×C3×C3⋊Dic3C2×C4semidirect
77. C32×#67C2×C4semidirect
81. #6293C2×C4semidirect
82. #6291C2×C4semidirect
84. #6289C2×C4semidirect
85. D3×C3⋊Dic3C2×C4semidirect
176. C3×C3⋊Dic3#41semidirect
238. C2×C3⋊Dic3C4×D3semidirect
247. C3×#67C4×D3semidirect
414. C3⋊Dic3#237semidirect
444. C33C4×#41semidirect
482. #67#624semidirect
640. C32#5522semidirect
641. C32C4×#237semidirect
706. C3#10594048semidirect
707. C3#10595190semidirect

Maximal subgroups

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

subgroupindex
C2×#890282
C2×#888132
#117236222
C3×#67⋊Dic32
C3×#639572
#117229432
#117229352
#117229202
#117229162
#117229002
D3×Dic322
#105951903
#105940483