Finite Group Databasebeta

← #13169334

Subgroups — #13169334

Order 1728.

1080 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723668C211yesmaximal, characteristic
2#11723535C211yesmaximal, characteristic
3#11723534C211yesmaximal, characteristic
4Dic3×#634C211yesmaximal, characteristic
5C3×#63918C211yesmaximal, characteristic
6C3×C4×#627C211yesmaximal, characteristic
7C3×#63844C211yesmaximal, characteristic
8#11723037C212yesmaximal
9#11723034C212yesmaximal
10#11723033C212yesmaximal
11#11722940C212yesmaximal
12#10594312—31nomaximal
13Dic62—31nomaximal
14#10593856—31nomaximal
15C2×C3×#634C2211yescharacteristic
16C2×#6293C2212yes—
17C2×#6293C2212yes—
18C2×C3×#627C2212yes—
19C2×C3×#627C2211yescharacteristic
20C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic
21C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
22C3×C4×C3⋊Dic3C2211yescharacteristic
23C32×C4⋊Dic3C2211yescharacteristic
24C32×C4×Dic3C2211yescharacteristic
25C32×C4×Dic3C2211yescharacteristic
26#88815C2212yes—
27#88813C2212yes—
28#88807C2212yes—
29#88807C2212yes—
30Dic3⋊(C3⋊Dic3)C2212yes—
31Dic3×C3⋊Dic3C2212yes—
32C3×#3724C2211yescharacteristic
33C3×#3724C2212yes—
34C3×Dic3⋊Dic3C2211yescharacteristic
35C3×Dic3⋊Dic3C2211yescharacteristic
36C3×Dic3⋊Dic3C2212yes—
37C3×Dic32C2212yes—
38#64097—31no—
39#64078—31no—
40C4×#634—31no—
41C3×#888—31no—
42C3×#887—31no—
43C3×#869—31no—
44C3×C4×Dic6—31no—
45C3×C4×Dic6—31no—
46C3×C4×Dic6—31no—
47#63919—32no—
48#63918—32no—
49#63918—31no—
50#63918—31no—
51#63918—31no—
52#63918—31no—
53#63918—61no—
54#63918—61no—
55#63918D311yescharacteristic
56C4×#627D311yescharacteristic
57#63866—32no—
58#63844—31no—
59#63844D311yescharacteristic
60#63843—31no—
61#63843—32no—
62Dic3×Dic6—31no—
63Dic3×Dic6—31no—
64Dic3×Dic6—31no—
65Dic3×Dic6—32no—
66Dic3×Dic6—61no—
67#63840—32no—
68#63840—32no—
69#63840—32no—
70#63839—32no—
71#63839—32no—
72#63839—32no—
73#63837—32no—
74C2×C33×C4C2311yescharacteristic
75C2×C3⋊(C3⋊Dic3)C2312yes—
76C2×C3×C3⋊Dic3C2311yescharacteristic
77C2×C3×C3⋊Dic3C2312yes—
78C2×C3×C3⋊Dic3C2311yescharacteristic
79C2×C3×C3⋊Dic3C2312yes—
80C3×#634Q814yescomplemented
81C2×C32×Dic3C2311yescharacteristic
82C2×C32×Dic3C2312yes—
83C2×C32×Dic3C2311yescharacteristic
84C2×C32×Dic3C2311yescharacteristic
85C2×C32×Dic3C2311yescharacteristic
86#6293—42no—
87#6293—42no—
88C3×#627—42no—
89C3×#627Q814yescomplemented
90#5722—91no—
91Q8×Dic6—91no—
92Q8×Dic6—91no—
93C2×#634—32no—
94C2×#634—32no—
95C2×#634C2×D311yescharacteristic
96C2×C3×Dic6—31no—
97C2×C3×Dic6—31no—
98C2×C3×Dic6—31no—
99C2×C3×Dic6—31no—
100C2×C3×Dic6—32no—
101C2×C3×Dic6—32no—
102C2×C3×Dic6—61no—
103C2×#627—32no—
104C2×#627—32no—
105C2×#627—32no—
106C2×#627—32no—
107C2×#627—62no—
108C2×#627—62no—
109C2×#627C2×D312yes—
110C2×#627C2×D311yescharacteristic
111C32×C4⋊C4—31no—
112C32×C42—31no—
113C32×C42—31no—
114C4⋊(C3⋊Dic3)—31no—
115C4⋊(C3⋊Dic3)—31no—
116C4⋊(C3⋊Dic3)—31no—
117C4⋊(C3⋊Dic3)—32no—
118C4⋊(C3⋊Dic3)—61no—
119C4⋊(C3⋊Dic3)—61no—
120C4⋊(C3⋊Dic3)—61no—
121C4⋊(C3⋊Dic3)—121no—
122C4⋊(C3⋊Dic3)C2×D311yescharacteristic
123#3750—32no—
124#3750—32no—
125C4×C3⋊Dic3—32no—
126C4×C3⋊Dic3C2×D311yescharacteristic
127C3×C4⋊Dic3—21no—
128C3×C4⋊Dic3—31no—
129C3×C4⋊Dic3—31no—
130C3×C4⋊Dic3—32no—
131C3×C4⋊Dic3—31no—
132C3×C4⋊Dic3—31no—
133C3×C4⋊Dic3—61no—
134C3×C4⋊Dic3C2×D311yescharacteristic
135C3×C4⋊Dic3C2×D311yescharacteristic
136C3×Dic3⋊C4—32no—
137C3×Dic3⋊C4—32no—
138C3×Dic3⋊C4—31no—
139C3×Dic3⋊C4—31no—
140C3×Dic3⋊C4—31no—
141C3×Dic3⋊C4—31no—
142C3×Dic3⋊C4—32no—
143C3×C4×Dic3—21no—
144C3×C4×Dic3—21no—
145C3×C4×Dic3—31no—
146C3×C4×Dic3—31no—
147C3×C4×Dic3—32no—
148C3×C4×Dic3—32no—
149C3×C4×Dic3—61no—
150C3×C4×Dic3C2×D311yescharacteristic
151C3×C4×Dic3C2×D311yescharacteristic
152C3×C4×Dic3C2×D311yescharacteristic
153C3×C4×Dic3C2×D311yescharacteristic
154#3724—32no—
155#3724C2×D311yescharacteristic
156#3724C2×D312yes—
157Dic3⋊Dic3—32no—
158Dic3⋊Dic3—32no—
159Dic3⋊Dic3—32no—
160Dic3⋊Dic3—32no—
161Dic3⋊Dic3—32no—
162Dic3⋊Dic3—32no—
163Dic3⋊Dic3—32no—
164Dic3⋊Dic3—32no—
165Dic3⋊Dic3—62no—
166Dic3⋊Dic3—62no—
167Dic3⋊Dic3—62no—
168Dic3⋊Dic3C2×D311yescharacteristic
169Dic3⋊Dic3C2×D312yes—
170Dic3⋊Dic3C2×D311yescharacteristic
171Dic32—32no—
172Dic32—32no—
173Dic32—32no—
174Dic32—32no—
175Dic32—32no—
176Dic32—62no—
177Dic32C2×D312yes—
178C22×C33C2411yescharacteristic
179C33×C4C2×Q812yes—
180C3⋊(C3⋊Dic3)—22no—
181C3×C3⋊Dic3—21no—
182C3×C3⋊Dic3—22no—
183C3×C3⋊Dic3C2×Q812yes—
184C3×C3⋊Dic3C2×Q814yes—
185C32×Dic3—21no—
186C32×Dic3—21no—
187C32×Dic3—22no—
188C32×Dic3C2×Q812yes—
189C32×Dic3C2×Q812yes—
190C3×C4⋊Q8—91no—
191C3×C4×Q8—91no—
192C3×C4×Q8—91no—
193Q8×Dic3—91no—
194Q8×Dic3—92no—
195Q8×Dic3—91no—
196#944—92no—
197#944—92no—
198#888—31no—
199#888—91no—
200#888—91no—
201#888—92no—
202#888—92no—
203#888—92no—
204#888—92no—
205#888—92no—
206#888—92no—
207#888—91no—
208#888—181no—
209#887—31no—
210#887—92no—
211#887—91no—
212#869—31no—
213#869—91no—
214#869—91no—
215#869—92no—
216#869—91no—
217#869—181no—
218C4×Dic6—31no—
219C4×Dic6—31no—
220C4×Dic6—31no—
221C4×Dic6—92no—
222C4×Dic6—91no—
223C4×Dic6—91no—
224C4×Dic6—91no—
225C4×Dic6—181no—
226C2×C32×C4—21no—
227C2×C32×C4—21no—
228C2×C32×C4—21no—
229C2×C32×C4—31no—
230C2×C32×C4—31no—
231C2×C32×C4—32no—
232C2×C32×C4—31no—
233C2×C32×C4—31no—
234C2×C32×C4—41no—
235C2×C32×C4C22×D311yescharacteristic
236C2×C32×C4C22×D311yescharacteristic
237C2×C32×C4C22×D311yescharacteristic
238C2×C3⋊Dic3—32no—
239C2×C3⋊Dic3—32no—
240C2×C3⋊Dic3—32no—
241C2×C3⋊Dic3—62no—
242C2×C3⋊Dic3—62no—
243C2×C3⋊Dic3—62no—
244C2×C3⋊Dic3—122no—
245C2×C3⋊Dic3C22×D312yes—
246C2×C3⋊Dic3C22×D311yescharacteristic
247C2×C3⋊Dic3C22×D311yescharacteristic
248C2×C3⋊Dic3C22×D312yes—
249#634—122no—
250#634—122no—
251#634Dic614yescomplemented
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—22no—
257C2×C3×Dic3—32no—
258C2×C3×Dic3—31no—
259C2×C3×Dic3—31no—
260C2×C3×Dic3—32no—
261C2×C3×Dic3—32no—
262C2×C3×Dic3—32no—
263C2×C3×Dic3—31no—
264C2×C3×Dic3—31no—
265C2×C3×Dic3—62no—
266C2×C3×Dic3—61no—
267C2×C3×Dic3—61no—
268C2×C3×Dic3—62no—
269C2×C3×Dic3C22×D312yes—
270C2×C3×Dic3C22×D311yescharacteristic
271C2×C3×Dic3C22×D311yescharacteristic
272C2×C3×Dic3C22×D312yes—
273C2×C3×Dic3C22×D311yescharacteristic
274C2×C3×Dic3C22×D311yescharacteristic
275C2×C3×Dic3C22×D311yescharacteristic
276C2×C3×Dic3C22×D311yescharacteristic
277C2×C3×Dic3C22×D311yescharacteristic
278C2×C3×Dic3C22×D311yescharacteristic
279C3×Dic6—34no—
280C3×Dic6—34no—
281C3×Dic6—34no—
282C3×Dic6—34no—
283C3×Dic6—64no—
284C3×Dic6—122no—
285C3×Dic6—122no—
286#627—42no—
287#627—122no—
288#627—122no—
289#627—122no—
290#627—122no—
291#627—124no—
292#627—124no—
293#627Dic614yescomplemented
294Q82—271noSylow
295C2×C33C22×Q811yescharacteristic
296C2×C33C22×Q811yescharacteristic
297C2×C33H(5,𝔽2)11yescharacteristic
298C2×C3×Q8—91no—
299C2×C3×Q8—92no—
300C2×C3×Q8—91no—
301C2×Dic6—31no—
302C2×Dic6—31no—
303C2×Dic6—31no—
304C2×Dic6—31no—
305C2×Dic6—32no—
306C2×Dic6—32no—
307C2×Dic6—61no—
308C2×Dic6—92no—
309C2×Dic6—92no—
310C2×Dic6—92no—
311C2×Dic6—92no—
312C2×Dic6—92no—
313C2×Dic6—92no—
314C2×Dic6—182no—
315C2×Dic6—182no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—92no—
320C3×C4⋊C4—92no—
321C3×C4⋊C4—91no—
322C3×C4⋊C4—91no—
323C3×C4⋊C4—91no—
324C3×C4⋊C4—91no—
325C3×C42—31no—
326C3×C42—31no—
327C3×C42—31no—
328C3×C42—31no—
329C3×C42—61no—
330C3×C42—61no—
331C3×C42—92no—
332C3×C42—91no—
333C4⋊Dic3—31no—
334C4⋊Dic3—31no—
335C4⋊Dic3—31no—
336C4⋊Dic3—31no—
337C4⋊Dic3—32no—
338C4⋊Dic3—61no—
339C4⋊Dic3—92no—
340C4⋊Dic3—92no—
341C4⋊Dic3—92no—
342C4⋊Dic3—91no—
343C4⋊Dic3—91no—
344C4⋊Dic3—91no—
345C4⋊Dic3—92no—
346C4⋊Dic3—92no—
347C4⋊Dic3—182no—
348C4⋊Dic3—181no—
349C4⋊Dic3—181no—
350C4⋊Dic3—181no—
351C4⋊Dic3—361no—
352C4⋊Dic3D3211yescharacteristic
353Dic3⋊C4—31no—
354Dic3⋊C4—32no—
355Dic3⋊C4—31no—
356Dic3⋊C4—31no—
357Dic3⋊C4—31no—
358Dic3⋊C4—32no—
359Dic3⋊C4—32no—
360Dic3⋊C4—92no—
361Dic3⋊C4—92no—
362Dic3⋊C4—92no—
363Dic3⋊C4—92no—
364Dic3⋊C4—92no—
365Dic3⋊C4—92no—
366Dic3⋊C4—92no—
367Dic3⋊C4—182no—
368Dic3⋊C4—182no—
369C4×Dic3—31no—
370C4×Dic3—31no—
371C4×Dic3—32no—
372C4×Dic3—32no—
373C4×Dic3—61no—
374C4×Dic3—92no—
375C4×Dic3—92no—
376C4×Dic3—92no—
377C4×Dic3—92no—
378C4×Dic3—92no—
379C4×Dic3—92no—
380C4×Dic3—182no—
381C4×Dic3D3211yescharacteristic
382C4×Dic3D3211yescharacteristic
383C22×C32—21no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—41no—
387C22×C32C23×D311yescharacteristic
388C22×C32C23×D311yescharacteristic
389C22×C32C23×D311yescharacteristic
390C32×C4—22no—
391C32×C4—22no—
392C32×C4—22no—
393C32×C4—32no—
394C32×C4—32no—
395C32×C4—42no—
396C32×C4—61no—
397C32×C4—61no—
398C32×C4—62no—
399C32×C4C2×Dic612yes—
400C32×C4D3×Q812yes—
401C32×C4D3×Q812yes—
402C3⋊Dic3—21no—
403C3⋊Dic3—22no—
404C3⋊Dic3—62no—
405C3⋊Dic3—62no—
406C3⋊Dic3—62no—
407C3⋊Dic3—122no—
408C3⋊Dic3—122no—
409C3⋊Dic3—122no—
410C3⋊Dic3—242no—
411C3⋊Dic3C2×Dic612yes—
412C3⋊Dic3C2×Dic614yes—
413C3×Dic3—22no—
414C3×Dic3—21no—
415C3×Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—22no—
419C3×Dic3—21no—
420C3×Dic3—22no—
421C3×Dic3—22no—
422C3×Dic3—34no—
423C3×Dic3—34no—
424C3×Dic3—32no—
425C3×Dic3—32no—
426C3×Dic3—42no—
427C3×Dic3—41no—
428C3×Dic3—64no—
429C3×Dic3—62no—
430C3×Dic3—62no—
431C3×Dic3—61no—
432C3×Dic3—61no—
433C3×Dic3—62no—
434C3×Dic3—62no—
435C3×Dic3—122no—
436C3×Dic3C2×Dic612yes—
437C3×Dic3C2×Dic612yes—
438C3×Dic3D3×Q812yes—
439C3×Dic3D3×Q812yes—
440C4⋊Q8—91no—
441C4⋊Q8—271no—
442C4⋊Q8—271no—
443C4⋊Q8—272no—
444C4⋊Q8—272no—
445C4⋊Q8—272no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×Q8—271no—
449C4×Q8—272no—
450C4×Q8—271no—
451C33Q8211yescharacteristic, complemented, Sylow
452C3×Q8—94no—
453C3×Q8—94no—
454C3×Q8—362no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—31no—
459C2×C3×C4—31no—
460C2×C3×C4—31no—
461C2×C3×C4—31no—
462C2×C3×C4—32no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—31no—
466C2×C3×C4—32no—
467C2×C3×C4—31no—
468C2×C3×C4—41no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—62no—
474C2×C3×C4—92no—
475C2×C3×C4—91no—
476C2×C3×C4—92no—
477C2×C3×C4—91no—
478C2×C3×C4C2×D3211yescharacteristic
479C2×C3×C4C2×D3211yescharacteristic
480C2×C3×C4C2×D3211yescharacteristic
481C2×Dic3—31no—
482C2×Dic3—32no—
483C2×Dic3—31no—
484C2×Dic3—32no—
485C2×Dic3—31no—
486C2×Dic3—31no—
487C2×Dic3—32no—
488C2×Dic3—32no—
489C2×Dic3—61no—
490C2×Dic3—61no—
491C2×Dic3—62no—
492C2×Dic3—62no—
493C2×Dic3—92no—
494C2×Dic3—92no—
495C2×Dic3—92no—
496C2×Dic3—182no—
497C2×Dic3—182no—
498C2×Dic3—182no—
499C2×Dic3—362no—
500C2×Dic3C2×D3212yes—
501C2×Dic3C2×D3211yescharacteristic
502C2×Dic3C2×D3211yescharacteristic
503C2×Dic3C2×D3211yescharacteristic
504C2×Dic3C2×D3211yescharacteristic
505Dic6—34no—
506Dic6—34no—
507Dic6—34no—
508Dic6—34no—
509Dic6—64no—
510Dic6—122no—
511Dic6—122no—
512Dic6—362no—
513Dic6—362no—
514Dic6—362no—
515Dic6—362no—
516Dic6—362no—
517Dic6—362no—
518Dic6—364no—
519Dic6—364no—
520C2×C32—21no—
521C2×C32—21no—
522C2×C32—21no—
523C2×C32—21no—
524C2×C32—21no—
525C2×C32—21no—
526C2×C32—21no—
527C2×C32—21no—
528C2×C32—21no—
529C2×C32—41no—
530C2×C32—41no—
531C2×C32—41no—
532C2×C32C22×Dic611yescharacteristic
533C2×C32C22×Dic611yescharacteristic
534C2×C32#100411yescharacteristic
535C2×C32C2×D3×Q811yescharacteristic
536C2×C32C2×D3×Q811yescharacteristic
537C2×C32C2×D3×Q811yescharacteristic
538C2×C32C2×D3×Q811yescharacteristic
539C2×C32#100911yescharacteristic
540C2×C32#100911yescharacteristic
541C2×Q8—91no—
542C2×Q8—92no—
543C2×Q8—91no—
544C2×Q8—272no—
545C2×Q8—272no—
546C4⋊C4—31no—
547C4⋊C4—91no—
548C4⋊C4—92no—
549C4⋊C4—91no—
550C4⋊C4—91no—
551C4⋊C4—92no—
552C4⋊C4—91no—
553C4⋊C4—272no—
554C4⋊C4—272no—
555C4⋊C4—272no—
556C4⋊C4—272no—
557C4⋊C4—271no—
558C42—31no—
559C42—31no—
560C42—92no—
561C42—91no—
562C42—272no—
563C42—272no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—41no—
568C22×C3C22×D3211yescharacteristic
569C22×C3C22×D3211yescharacteristic
570C22×C3C22×D3211yescharacteristic
571C3×C4—22no—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—32no—
575C3×C4—32no—
576C3×C4—32no—
577C3×C4—32no—
578C3×C4—42no—
579C3×C4—62no—
580C3×C4—62no—
581C3×C4—62no—
582C3×C4—62no—
583C3×C4—61no—
584C3×C4—62no—
585C3×C4—61no—
586C3×C4—61no—
587C3×C4—61no—
588C3×C4—94no—
589C3×C4—92no—
590C3×C4—122no—
591C3×C4—121no—
592C3×C4—182no—
593C3×C4—181no—
594C3×C4D3×Dic612yes—
595C3×C4D3×Dic612yes—
596C3×C4#379712yes—
597Dic3—21no—
598Dic3—21no—
599Dic3—22no—
600Dic3—32no—
601Dic3—32no—
602Dic3—34no—
603Dic3—34no—
604Dic3—64no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608Dic3—61no—
609Dic3—61no—
610Dic3—62no—
611Dic3—122no—
612Dic3—182no—
613Dic3—182no—
614Dic3—182no—
615Dic3—362no—
616Dic3—362no—
617Dic3—362no—
618Dic3—722no—
619Dic3D3×Dic612yes—
620Dic3D3×Dic612yes—
621C32—21no—
622C32—21no—
623C32—21no—
624C32—41no—
625C32Q8×Dic611yescharacteristic, complemented
626C32Q8×Dic611yescharacteristic, complemented
627C32#572211yescharacteristic, complemented
628Q8—94no—
629Q8—94no—
630Q8—362no—
631Q8—1082no—
632Q8—1082no—
633C2×C4—31no—
634C2×C4—31no—
635C2×C4—31no—
636C2×C4—31no—
637C2×C4—32no—
638C2×C4—91no—
639C2×C4—92no—
640C2×C4—91no—
641C2×C4—92no—
642C2×C4—272no—
643C2×C4D3311yescharacteristic
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—41no—
654C2×C3—41no—
655C2×C3—41no—
656C2×C3C2×D3×Dic611yescharacteristic
657C2×C3C2×D3×Dic611yescharacteristic
658C2×C3C2×D3×Dic611yescharacteristic
659C2×C3C2×D3×Dic611yescharacteristic
660C2×C3C2×#379711yescharacteristic
661C2×C3#6430711yescharacteristic
662C2×C3#6430811yescharacteristic
663C2×C3#6431411yescharacteristic
664C2×C3D32×Q811yescharacteristic
665C22C2×D3311yescharacteristic
666C4—32no—
667C4—32no—
668C4—61no—
669C4—62no—
670C4—61no—
671C4—92no—
672C4—94no—
673C4—182no—
674C4—181no—
675C4—542no—
676C4#8895712yes—
677C3—21no—
678C3—21no—
679C3—21no—
680C3—41no—
681C3#1059385611yescharacteristic, complemented
682C3Dic6211yescharacteristic, complemented
683C3#1059431211yescharacteristic, complemented
684C2D32×Dic611yescharacteristic
685C2#1172438411yescharacteristic
686C2C2×#8895711yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, prime radical, cosocleC22×C33C24
FittingC2×C33×C4C23
hypercenterC2×C4D33
hypocenterC33Q82
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
80. C3×#634Q8semidirect
89. C3×#627Q8semidirect
251. #634Dic6semidirect
293. #627Dic6semidirect
451. C33Q82semidirect
625. C32Q8×Dic6semidirect
626. C32Q8×Dic6semidirect
627. C32#5722semidirect
681. C3#10593856semidirect
682. C3Dic62semidirect
683. C3#10594312semidirect

Maximal subgroups

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

subgroupindex
#117236682
#117235352
#117235342
Dic3×#6342
C3×#639182
C3×C4×#6272
C3×#638442
#117230372
#117230342
#117230332
#117229402
#105943123
Dic623
#105938563