Finite Group Databasebeta

← #13155841

Subgroups — #13155841

Order 1728.

940 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
1C2×#89041C211yesmaximal, characteristic, complemented
2#11723526C211yesmaximal, characteristic, complemented
3C2×#88797C211yesmaximal, characteristic, complemented
4C2×#88791C211yesmaximal, characteristic, complemented
5C3×#63567C211yesmaximal, characteristic, complemented
6C3×#63564C211yesmaximal, characteristic, complemented
7C3×#63557C211yesmaximal, characteristic, complemented
8#10590968—31nomaximal
9#10590967—31nomaximal
10#10590617—31nomaximal
11C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×C4×C3⋊D3C2211yescharacteristic
14C2×C3×#634C2211yescharacteristic
15C2×#6295—21no—
16C2×#6294—21no—
17#89041—22no—
18#89041—22no—
19C2×#6292—21no—
20C32×C4⋊Dic3C2211yescharacteristic
21C2×C32×C3⋊C8C2211yescharacteristic
22C2×C32×C3⋊C8C2211yescharacteristic
23#88804—21no—
24#88797—22no—
25#88791—22no—
26C2×#3799—31no—
27C2×#3796—31no—
28C2×#3795—31no—
29C2×#3745—31no—
30C2×#3744—31no—
31#64104—31no—
32#63909—31no—
33#63909—31no—
34#63909—61no—
35C2×#3717—31no—
36C2×#3717—31no—
37C2×#3717—61no—
38C2×#3714—31no—
39C2×#3714—31no—
40C2×#3714—61no—
41C3×#821—31no—
42C3×(C2×D3)⋊C8—31no—
43C3×(C2×D3)⋊C8—31no—
44C3×#816—31no—
45C3×#810—31no—
46C3×#809—31no—
47#63567D311yescharacteristic, complemented
48#63564D311yescharacteristic, complemented
49#63557D311yescharacteristic, complemented
50C22×C3⋊(C3⋊D3)—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3D411yescharacteristic
53C2×C33×C4C2311yescharacteristic
54C4⋊(C3⋊(C3⋊D3))—21no—
55C4⋊(C3⋊(C3⋊D3))—21no—
56C2×C3×C3⋊Dic3—21no—
57C2×C3×C3⋊Dic3D411yescharacteristic
58C3×C4⋊(C3⋊D3)—21no—
59C3×C4⋊(C3⋊D3)D412yescomplemented
60C3×C4×C3⋊D3—21no—
61C3×C4×C3⋊D3—21no—
62C3×#634—21no—
63C3×#634D412yescomplemented
64C2×C32×Dic3—21no—
65#6295—24no—
66#6294—24no—
67#6292—42no—
68C32×C3⋊C8—21no—
69C32×C3⋊C8—21no—
70#4810—91no—
71#4781—91no—
72#4734—91no—
73C2×C4⋊(C3⋊D3)—31no—
74C2×C4⋊(C3⋊D3)—31no—
75C2×C4⋊(C3⋊D3)—31no—
76C2×C4⋊(C3⋊D3)—61no—
77C2×C4⋊(C3⋊D3)—61no—
78C2×C4⋊(C3⋊D3)—61no—
79C2×C4⋊(C3⋊D3)—61no—
80C2×C4⋊(C3⋊D3)—121no—
81C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
82C2×C4×C3⋊D3C2×D311yescharacteristic
83C2×#634C2×D311yescharacteristic
84C2×C3×D12—31no—
85C2×C3×D12—31no—
86C2×C3×D12—61no—
87C2×C3×C4×D3—31no—
88C2×C3×C4×D3—31no—
89C2×C3×C4×D3—61no—
90C2×C3×Dic6—31no—
91C2×C3×Dic6—31no—
92C2×C3×Dic6—61no—
93C2×#626—61no—
94C2×#626—61no—
95C2×#626—61no—
96C2×#626—61no—
97C2×#626—62no—
98C2×#625—61no—
99C2×#624—61no—
100C2×D3×Dic3—61no—
101C2×D3×Dic3—61no—
102#3799—62no—
103#3799—62no—
104#3796—62no—
105#3796—62no—
106#3795—62no—
107#3795—62no—
108C2×C32×C8—31no—
109C2×C32×C8—31no—
110C32×C4⋊C4—31no—
111#3752—61no—
112#3745—62no—
113#3744—62no—
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3C2×D311yescharacteristic
116C3×C4⋊Dic3C2×D311yescharacteristic
117C2×C3×C3⋊C8—21no—
118C2×C3×C3⋊C8—21no—
119C2×C3×C3⋊C8C2×D311yescharacteristic
120C2×C3×C3⋊C8C2×D311yescharacteristic
121C2×C3×C3⋊C8C2×D311yescharacteristic
122C2×C3×C3⋊C8C2×D311yescharacteristic
123#3722—61no—
124#3722—61no—
125#3722—62no—
126#3717—62no—
127#3717—62no—
128#3717—64no—
129#3714—62no—
130#3714—62no—
131#3714—64no—
132C22×C33C2×D411yescharacteristic
133C2×C3⋊(C3⋊D3)—41no—
134C2×C3⋊(C3⋊D3)—41no—
135C2×C3⋊(C3⋊D3)—41no—
136C2×C3×C3⋊D3—22no—
137C2×C3×C3⋊D3—21no—
138C2×C3×C3⋊D3—21no—
139C2×C3×C3⋊D3—21no—
140C2×C3×C3⋊D3—41no—
141C2×C3×C3⋊D3—41no—
142C33×C4C2×D411yescharacteristic
143C33×C4C2×D411yescharacteristic
144C3×C3⋊Dic3—21no—
145C3×C3⋊Dic3—22no—
146C32×Dic3—41no—
147C2×#239—91no—
148C2×#237—91no—
149C2×#235—91no—
150C2×#215—91no—
151C2×#213—91no—
152#930—91no—
153C2×D24—91no—
154C2×D24—91no—
155C2×D24—181no—
156C2×#204—91no—
157C2×#204—91no—
158C2×#204—181no—
159#895—91no—
160#895—91no—
161#895—181no—
162C3×#103—91no—
163C3×#102—91no—
164C3×C22⋊C8—91no—
165#821—31no—
166(C2×D3)⋊C8—31no—
167(C2×D3)⋊C8—31no—
168#816—31no—
169#810—31no—
170#809—31no—
171C22×C3⋊D3—21no—
172C22×C3⋊D3—61no—
173C22×C3⋊D3—62no—
174C22×C3⋊D3—61no—
175C22×C3⋊D3—61no—
176C22×C3⋊D3—121no—
177C22×C3⋊D3—121no—
178C22×C3⋊D3—122no—
179C22×C3⋊D3D1211yescharacteristic
180C22×C3×D3—31no—
181C22×C3×D3—31no—
182C22×C3×D3—61no—
183C22×C3×D3—61no—
184C22×C3×D3—61no—
185C22×C3×D3—121no—
186C2×C32×C4—21no—
187C2×C32×C4—21no—
188C2×C32×C4—21no—
189C2×C32×C4—41no—
190C2×C32×C4—61no—
191C2×C32×C4C22×D311yescharacteristic
192C2×C32×C4C22×D311yescharacteristic
193C2×C32×C4C22×D311yescharacteristic
194C2×C3⋊Dic3—21no—
195C2×C3⋊Dic3D1211yescharacteristic
196C4⋊(C3⋊D3)—21no—
197C4⋊(C3⋊D3)—61no—
198C4⋊(C3⋊D3)—61no—
199C4⋊(C3⋊D3)—62no—
200C4⋊(C3⋊D3)—62no—
201C4⋊(C3⋊D3)—61no—
202C4⋊(C3⋊D3)—61no—
203C4⋊(C3⋊D3)—61no—
204C4⋊(C3⋊D3)—61no—
205C4⋊(C3⋊D3)—121no—
206C4⋊(C3⋊D3)—121no—
207C4⋊(C3⋊D3)—121no—
208C4⋊(C3⋊D3)—121no—
209C4⋊(C3⋊D3)—122no—
210C4⋊(C3⋊D3)—122no—
211C4⋊(C3⋊D3)—122no—
212C4⋊(C3⋊D3)D1212yescomplemented
213C4×C3⋊D3—21no—
214C4×C3⋊D3—21no—
215#634—21no—
216#634D1212yescomplemented
217C2×C3×Dic3—22no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—21no—
220C2×C3×Dic3—31no—
221C2×C3×Dic3—31no—
222C2×C3×Dic3—61no—
223C2×C3×Dic3—61no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—121no—
226C3×D12—32no—
227C3×D12—32no—
228C3×D12—62no—
229C3×D12—61no—
230C3×D12—61no—
231C3×D12—121no—
232C3×C4×D3—61no—
233C3×C4×D3—61no—
234C3×C4×D3—61no—
235C3×C4×D3—61no—
236C3×C4×D3—121no—
237C3×C4×D3—121no—
238C3×Dic6—32no—
239C3×Dic6—32no—
240C3×Dic6—62no—
241C3×Dic6—61no—
242C3×Dic6—61no—
243C3×Dic6—121no—
244#626—64no—
245#626—64no—
246#626—124no—
247#626—122no—
248#626—122no—
249#625—64no—
250#624—64no—
251D3×Dic3—64no—
252D3×Dic3—64no—
253C32×C8—61no—
254C32×C8—61no—
255C3×C3⋊C8—22no—
256C3×C3⋊C8—22no—
257C3×C3⋊C8—21no—
258C3×C3⋊C8—21no—
259C3×C3⋊C8—21no—
260C3×C3⋊C8—21no—
261#449—271noSylow
262C2×C33#12011yescharacteristic
263C2×C33#13511yescharacteristic
264C2×C33AGL(1,ℤ/8)11yescharacteristic
265C3⋊(C3⋊D3)—81no—
266C3×C3⋊D3—41no—
267C3×C3⋊D3—42no—
268C2×C3×Q8—91no—
269C2×C3×D4—91no—
270C22×C3×C4—91no—
271C2×#67—181no—
272C2×#67—181no—
273C2×#67—181no—
274C22×Dic3—181no—
275#239—182no—
276#239—182no—
277#237—182no—
278#237—182no—
279#235—182no—
280#235—182no—
281C2×D12—31no—
282C2×D12—31no—
283C2×D12—61no—
284C2×D12—91no—
285C2×D12—91no—
286C2×D12—91no—
287C2×D12—181no—
288C2×D12—181no—
289C2×D12—181no—
290C2×D12—181no—
291C2×D12—181no—
292C2×D12—181no—
293C2×D12—182no—
294C2×D12—361no—
295C2×C4×D3—31no—
296C2×C4×D3—31no—
297C2×C4×D3—61no—
298C2×C4×D3—181no—
299C2×C4×D3—181no—
300C2×Dic6—31no—
301C2×Dic6—31no—
302C2×Dic6—61no—
303C2×C3×C8—31no—
304C2×C3×C8—31no—
305C2×C3×C8—31no—
306C2×C3×C8—31no—
307C2×C3×C8—61no—
308C2×C3×C8—61no—
309C3×C4⋊C4—31no—
310C3×C4⋊C4—31no—
311C3×C4⋊C4—61no—
312#215—182no—
313#213—182no—
314(C2×D3)⋊C4—181no—
315(C2×D3)⋊C4—181no—
316(C2×D3)⋊C4—181no—
317(C2×D3)⋊C4—182no—
318C4⋊Dic3D3211yescharacteristic
319C2×C3⋊C8D3211yescharacteristic
320C2×C3⋊C8D3211yescharacteristic
321D24—182no—
322D24—182no—
323D24—184no—
324#204—182no—
325#204—182no—
326#204—184no—
327C22×C32—21no—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32—41no—
331C22×C32C2×D1211yescharacteristic
332C22×C32D3×D411yescharacteristic
333C22×C32D3×D411yescharacteristic
334C2×C3⋊D3—21no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—21no—
337C2×C3⋊D3—21no—
338C2×C3⋊D3—41no—
339C2×C3⋊D3—41no—
340C2×C3⋊D3—122no—
341C2×C3⋊D3—122no—
342C2×C3⋊D3—122no—
343C2×C3⋊D3—124no—
344C2×C3⋊D3—121no—
345C2×C3⋊D3—121no—
346C2×C3⋊D3—121no—
347C2×C3⋊D3—121no—
348C2×C3⋊D3—121no—
349C2×C3⋊D3—122no—
350C2×C3⋊D3—122no—
351C2×C3⋊D3—121no—
352C2×C3⋊D3—121no—
353C2×C3⋊D3—121no—
354C2×C3⋊D3—121no—
355C2×C3⋊D3—241no—
356C2×C3⋊D3—241no—
357C2×C3⋊D3—241no—
358C2×C3⋊D3—241no—
359C2×C3⋊D3—242no—
360C2×C3⋊D3—242no—
361C2×C3×D3—62no—
362C2×C3×D3—62no—
363C2×C3×D3—62no—
364C2×C3×D3—61no—
365C2×C3×D3—61no—
366C2×C3×D3—61no—
367C2×C3×D3—61no—
368C2×C3×D3—61no—
369C2×C3×D3—61no—
370C2×C3×D3—121no—
371C2×C3×D3—121no—
372C2×C3×D3—122no—
373C2×C3×D3—121no—
374C2×C3×D3—121no—
375C2×C3×D3—121no—
376C2×C3×D3—121no—
377C2×C3×D3—241no—
378C2×C3×D3—241no—
379C32×C4—21no—
380C32×C4—21no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—21no—
384C32×C4—21no—
385C32×C4—41no—
386C32×C4—41no—
387C32×C4—121no—
388C32×C4C2×D1211yescharacteristic
389C32×C4C2×D1211yescharacteristic
390C32×C4D3×D411yescharacteristic
391C32×C4D3×D411yescharacteristic
392C32×C4D3×D411yescharacteristic
393C32×C4D3×D411yescharacteristic
394C3⋊Dic3—21no—
395C3⋊Dic3—22no—
396C3×Dic3—42no—
397C3×Dic3—41no—
398C3×Dic3—41no—
399C3×Dic3—61no—
400C3×Dic3—62no—
401C3×Dic3—61no—
402C3×Dic3—62no—
403C3×Dic3—122no—
404C3×Dic3—121no—
405C2×#41—271no—
406C2×SD16—271no—
407C2×D8—271no—
408#121—271no—
409#103—91no—
410#102—91no—
411C22⋊C8—91no—
412C33#44911yescharacteristic, complemented, Sylow
413C23×C3—91no—
414C23×C3—181no—
415C22×D3—31no—
416C22×D3—31no—
417C22×D3—61no—
418C22×D3—61no—
419C22×D3—61no—
420C22×D3—121no—
421C22×D3—182no—
422C22×D3—181no—
423C22×D3—181no—
424C22×D3—181no—
425C22×D3—361no—
426C22×D3—361no—
427C22×D3—362no—
428C3×Q8—92no—
429C3×Q8—181no—
430C3×D4—92no—
431C3×D4—181no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—41no—
436C2×C3×C4—62no—
437C2×C3×C4—61no—
438C2×C3×C4—61no—
439C2×C3×C4—91no—
440C2×C3×C4—181no—
441C2×C3×C4—181no—
442C2×C3×C4—181no—
443C2×C3×C4C2×D3211yescharacteristic
444C2×C3×C4C2×D3211yescharacteristic
445C2×C3×C4C2×D3211yescharacteristic
446#67—184no—
447#67—184no—
448#67—362no—
449C2×Dic3—21no—
450C2×Dic3—31no—
451C2×Dic3—31no—
452C2×Dic3—61no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455C2×Dic3—121no—
456C2×Dic3—184no—
457D12—32no—
458D12—32no—
459D12—62no—
460D12—61no—
461D12—61no—
462D12—121no—
463D12—182no—
464D12—182no—
465D12—184no—
466D12—181no—
467D12—181no—
468D12—181no—
469D12—181no—
470D12—181no—
471D12—181no—
472D12—361no—
473D12—361no—
474D12—361no—
475D12—361no—
476D12—362no—
477D12—362no—
478D12—364no—
479D12—362no—
480D12—362no—
481C4×D3—61no—
482C4×D3—61no—
483C4×D3—61no—
484C4×D3—61no—
485C4×D3—121no—
486C4×D3—121no—
487C4×D3—184no—
488C4×D3—184no—
489Dic6—32no—
490Dic6—32no—
491Dic6—62no—
492Dic6—61no—
493Dic6—61no—
494Dic6—121no—
495C3×C8—62no—
496C3×C8—62no—
497C3×C8—61no—
498C3×C8—61no—
499C3×C8—61no—
500C3×C8—61no—
501C3⋊C8—21no—
502C3⋊C8—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—21no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—21no—
512C2×C32—41no—
513C2×C32—41no—
514C2×C32—41no—
515C2×C32#88211yescharacteristic
516C2×C32#88211yescharacteristic
517C2×C32#88211yescharacteristic
518C2×C32#90411yescharacteristic
519C2×C32#90811yescharacteristic
520C2×C32#91111yescharacteristic
521C2×C32#91411yescharacteristic
522C2×C32#91611yescharacteristic
523C2×C32#91911yescharacteristic
524C3⋊D3—41no—
525C3⋊D3—42no—
526C3⋊D3—242no—
527C3⋊D3—242no—
528C3⋊D3—242no—
529C3⋊D3—244no—
530C3⋊D3—241no—
531C3⋊D3—241no—
532C3⋊D3—241no—
533C3×D3—122no—
534C3×D3—122no—
535C3×D3—121no—
536C3×D3—121no—
537C3×D3—122no—
538C3×D3—242no—
539#41—542no—
540#41—542no—
541C2×Q8—91no—
542C2×D4—91no—
543C2×D4—271no—
544C2×D4—541no—
545C2×D4—541no—
546C22×C4—91no—
547C22×C4—541no—
548SD16—542no—
549D8—542no—
550C2×C8—31no—
551C2×C8—31no—
552C4⋊C4—31no—
553C22⋊C4—541no—
554C22×C3—21no—
555C22×C3—21no—
556C22×C3—21no—
557C22×C3—41no—
558C22×C3—182no—
559C22×C3—181no—
560C22×C3—181no—
561C22×C3—181no—
562C22×C3—361no—
563C22×C3—361no—
564C22×C3D3×D1211yescharacteristic
565C22×C3D3×D1211yescharacteristic
566C22×C3#381111yescharacteristic
567C2×D3—62no—
568C2×D3—61no—
569C2×D3—61no—
570C2×D3—61no—
571C2×D3—61no—
572C2×D3—61no—
573C2×D3—61no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—121no—
577C2×D3—121no—
578C2×D3—122no—
579C2×D3—121no—
580C2×D3—121no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—241no—
584C2×D3—241no—
585C2×D3—362no—
586C2×D3—362no—
587C2×D3—362no—
588C2×D3—362no—
589C2×D3—362no—
590C2×D3—364no—
591C2×D3—361no—
592C2×D3—361no—
593C2×D3—361no—
594C2×D3—361no—
595C2×D3—361no—
596C2×D3—361no—
597C2×D3—361no—
598C2×D3—361no—
599C2×D3—361no—
600C2×D3—721no—
601C2×D3—721no—
602C2×D3—721no—
603C2×D3—721no—
604C2×D3—722no—
605C2×D3—722no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—122no—
615C3×C4—121no—
616C3×C4—121no—
617C3×C4—181no—
618C3×C4—182no—
619C3×C4D3×D1211yescharacteristic
620C3×C4D3×D1211yescharacteristic
621C3×C4D3×D1211yescharacteristic
622C3×C4D3×D1211yescharacteristic
623C3×C4#381111yescharacteristic
624C3×C4#381111yescharacteristic
625Dic3—41no—
626Dic3—62no—
627Dic3—62no—
628Dic3—61no—
629Dic3—61no—
630Dic3—122no—
631Dic3—121no—
632C32—21no—
633C32—21no—
634C32—21no—
635C32—41no—
636C32#473411yescharacteristic, complemented
637C32#478111yescharacteristic, complemented
638C32#481011yescharacteristic, complemented
639C23—91no—
640C23—181no—
641C23—541no—
642Q8—92no—
643Q8—181no—
644D4—92no—
645D4—181no—
646D4—544no—
647D4—541no—
648D4—541no—
649D4—1082no—
650C2×C4—61no—
651C2×C4—91no—
652C2×C4—181no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4—544no—
656C2×C4D3311yescharacteristic
657C8—61no—
658C8—61no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—21no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—41no—
669C2×C3—41no—
670C2×C3—41no—
671C2×C3—361no—
672C2×C3—362no—
673C2×C3#6379411yescharacteristic
674C2×C3#6379511yescharacteristic
675C2×C3#6380611yescharacteristic
676C2×C3#6380811yescharacteristic
677C2×C3#6392311yescharacteristic
678C2×C3#6392311yescharacteristic
679C2×C3#6392311yescharacteristic
680C2×C3#6393711yescharacteristic
681C2×C3#6395011yescharacteristic
682D3—122no—
683D3—122no—
684D3—121no—
685D3—121no—
686D3—122no—
687D3—242no—
688D3—722no—
689D3—722no—
690D3—722no—
691D3—724no—
692D3—721no—
693D3—721no—
694D3—721no—
695C22—181no—
696C22—181no—
697C22—181no—
698C22—182no—
699C22—361no—
700C22—361no—
701C22—1081no—
702C22—1081no—
703C22—1081no—
704C22#8895511yescharacteristic
705C4—121no—
706C4—181no—
707C4—182no—
708C4#8895511yescharacteristic
709C4#8895511yescharacteristic
710C3—21no—
711C3—21no—
712C3—21no—
713C3—41no—
714C3#1059061711yescharacteristic, complemented
715C3#1059096711yescharacteristic, complemented
716C3#1059096811yescharacteristic, complemented
717C2—361no—
718C2—362no—
719C2—2161no—
720C2#1172286511yescharacteristic
721C2#1172287911yescharacteristic
722C2#1172295211yescharacteristic
subgroupG/H
centerC22#88955
commutator, Fitting, cosocleC2×C33×C4C23
Frattini, hypercenterC2×C4D33
socleC22×C33C2×D4
hypocenterC33#449
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C2×#89041C2semidirect
2. #11723526C2semidirect
3. C2×#88797C2semidirect
4. C2×#88791C2semidirect
5. C3×#63567C2semidirect
6. C3×#63564C2semidirect
7. C3×#63557C2semidirect
47. #63567D3semidirect
48. #63564D3semidirect
49. #63557D3semidirect
59. C3×C4⋊(C3⋊D3)D4semidirect
63. C3×#634D4semidirect
212. C4⋊(C3⋊D3)D12semidirect
216. #634D12semidirect
412. C33#449semidirect
636. C32#4734semidirect
637. C32#4781semidirect
638. C32#4810semidirect
714. C3#10590617semidirect
715. C3#10590967semidirect
716. C3#10590968semidirect

Maximal subgroups

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

subgroupindex
C2×#890412
#117235262
C2×#887972
C2×#887912
C3×#635672
C3×#635642
C3×#635572
#105909683
#105909673
#105906173