Finite Group Databasebeta

← #10795113

Subgroups — #10795113

Order 768.

1350 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#235C211yesmaximal, characteristic
2C2×#4835C211yesmaximal, characteristic, complemented
3C2×#4833C211yesmaximal, characteristic, complemented
4C3×#1797C211yesmaximal, characteristic, complemented
5#71530C211yesmaximal, characteristic, complemented
6#70475C211yesmaximal, characteristic, complemented
7#70475C211yesmaximal, characteristic, complemented
8#69956C212yesmaximal
9#69907C212yesmaximal, complemented
10#68665C212yesmaximal, complemented
11#68601C212yesmaximal, complemented
12#20721—31nomaximal, Sylow
13C22×#235C2211yescharacteristic
14C22×C3×C42C2211yescharacteristic
15C2×C4×#67C411yescharacteristic
16C2×C4×#67C411yescharacteristic
17C2×C4×#67C411yescharacteristic
18C2×C4×#67C411yescharacteristic
19C2×#926C2211yescharacteristic
20C4×#235—24no—
21C4×#235—24no—
22C2×C4×D12C411yescharacteristic
23C2×C4×D12C411yescharacteristic
24C2×#872C2211yescharacteristic
25C2×#872C2211yescharacteristic
26C2×C42×D3C2211yescharacteristic
27C2×C42×D3C2211yescharacteristic
28C2×C4×Dic6C411yescharacteristic
29C2×C4×Dic6C411yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2212yes—
33C2×#830C2212yes—
34C2×(C2×D3)⋊C8C2212yes—
35C2×(C2×D3)⋊C8C2212yes—
36C2×(C2×D3)⋊C8C2212yes—
37C2×(C2×D3)⋊C8C2212yes—
38C2×#815C2212yes—
39C2×C8×Dic3C2212yes—
40C2×C4⋊(C3⋊C8)C2211yescharacteristic
41C2×C4⋊(C3⋊C8)C2211yescharacteristic
42#4835—24no—
43#4833—24no—
44C3×#336C2212yes—
45#4550C2212yes—
46#4550C2212yes—
47#4524C2212yes—
48C2×C4×#41—31no—
49C2×#432—31no—
50C2×#431—31no—
51#1818—32no—
52#1797—31no—
53#1797—31no—
54#1797—31no—
55#1797D311yescharacteristic, complemented
56#1780—32no—
57#1750—32no—
58#1750—32no—
59C23×C3×C4C2×C411yescharacteristic
60C23×C3×C4C2×C411yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C22×#67C2×C411yescharacteristic
63C22×#67C2×C411yescharacteristic
64C2×#235—22no—
65C2×#235—22no—
66C2×#235—22no—
67C2×#235—22no—
68C2×#235—22no—
69C2×#235—22no—
70C22×D12C2×C411yescharacteristic
71C22×C4×D3C2×C411yescharacteristic
72C22×C4×D3C2×C411yescharacteristic
73C22×C4×D3C2×C411yescharacteristic
74C22×C4×D3C2×C411yescharacteristic
75C22×C4×D3C2311yescharacteristic
76C22×C4×D3C2311yescharacteristic
77C22×Dic6C2×C411yescharacteristic
78C22×C3×C8C2312yes—
79C22×C3×C8C2312yes—
80C2×C3×C42—22no—
81C2×C3×C42—22no—
82C2×C3×C42C2×C411yescharacteristic
83C2×C3×C42C2×C411yescharacteristic
84C2×C3×C42C2311yescharacteristic
85C2×C3×C42C2311yescharacteristic
86C2×#217C2×C411yescharacteristic
87C2×#217C2×C411yescharacteristic
88C4×#67—24no—
89C4×#67—24no—
90C4×#67—24no—
91C4×#67—24no—
92C2×(C2×D3)⋊C4C2×C411yescharacteristic
93C2×(C2×D3)⋊C4C2×C411yescharacteristic
94C2×(C2×D3)⋊C4C2×C411yescharacteristic
95C2×(C2×D3)⋊C4C2×C411yescharacteristic
96#926—22no—
97#926—22no—
98C2×C4⋊Dic3C2×C411yescharacteristic
99C2×C4⋊Dic3C2×C411yescharacteristic
100C2×Dic3⋊C4C2×C411yescharacteristic
101C2×Dic3⋊C4C2×C411yescharacteristic
102C2×Dic3⋊C4C2×C411yescharacteristic
103C2×Dic3⋊C4C2×C411yescharacteristic
104C2×C4×Dic3C2×C411yescharacteristic
105C2×C4×Dic3C2×C411yescharacteristic
106C2×C4×Dic3C2×C411yescharacteristic
107C2×C4×Dic3C2×C411yescharacteristic
108C2×C4×Dic3C2311yescharacteristic
109C2×C4×Dic3C2311yescharacteristic
110C22×C3⋊C8C2312yes—
111C22×C3⋊C8C2312yes—
112C4×D12—24no—
113C4×D12—24no—
114#872—22no—
115#872—22no—
116#872—22no—
117#872—22no—
118C42×D3—22no—
119C42×D3—22no—
120C42×D3D414yes—
121C42×D3D414yes—
122C4×Dic6—24no—
123C4×Dic6—24no—
124C3×C4⋊C8—22no—
125C3×C4⋊C8—22no—
126C3×C22⋊C8—24no—
127#830—24no—
128(C2×D3)⋊C8—24no—
129(C2×D3)⋊C8—24no—
130(C2×D3)⋊C8—24no—
131(C2×D3)⋊C8—24no—
132#815—24no—
133C8×Dic3—24no—
134C4⋊(C3⋊C8)—22no—
135C4⋊(C3⋊C8)—22no—
136C22×#41—31no—
137C4×#41—64no—
138C4×#41—64no—
139C2×C4×Q8—31no—
140C2×C4×Q8—31no—
141C2×C4×D4—31no—
142C2×C4×D4—31no—
143C2×C4×D4—31no—
144C2×C4×D4—31no—
145C2×C4×D4—31no—
146C2×C4×D4—31no—
147C2×#117—31no—
148C2×#117—31no—
149C2×#117—31no—
150C22×C42—31no—
151C22×C42—31no—
152C22×C42C2×D311yescharacteristic
153#432—64no—
154#431—64no—
155C2×C4⋊C8—31no—
156C2×C4⋊C8—31no—
157C2×C4⋊C8C2×D311yescharacteristic
158C2×C4⋊C8C2×D311yescharacteristic
159C2×C22⋊C8—32no—
160C2×C22⋊C8—32no—
161C2×C22⋊C8—32no—
162C2×C22⋊C8—32no—
163C2×C22⋊C8—32no—
164C2×C22⋊C8C2×D312yes—
165C2×#97—32no—
166C2×C4×C8—32no—
167#336—32no—
168#336—32no—
169#336—32no—
170#336C2×D312yes—
171C24×C3C22×C411yescharacteristic
172C23×D3C22×C411yescharacteristic
173C23×D3C22×C411yescharacteristic
174C22×C3×C4—21no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—21no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—41no—
183C22×C3×C4—41no—
184C22×C3×C4C22×C411yescharacteristic
185C22×C3×C4C22×C411yescharacteristic
186C22×C3×C4C22×C411yescharacteristic
187C22×C3×C4C22×C411yescharacteristic
188C22×C3×C4C22×C411yescharacteristic
189C22×C3×C4#4112yes—
190C22×C3×C4#4112yes—
191C22×C3×C4C2411yescharacteristic
192C2×#67—22no—
193C2×#67—22no—
194C2×#67—22no—
195C2×#67—22no—
196C2×#67—22no—
197C2×#67—22no—
198C22×Dic3C22×C411yescharacteristic
199C22×Dic3C22×C411yescharacteristic
200C22×Dic3C22×C411yescharacteristic
201C22×Dic3C22×C411yescharacteristic
202C22×Dic3C22×C411yescharacteristic
203C22×Dic3C22×C411yescharacteristic
204#235—28no—
205#235—28no—
206#235—28no—
207#235—28no—
208C2×D12—22no—
209C2×D12—22no—
210C2×D12—22no—
211C2×C4×D3—22no—
212C2×C4×D3—22no—
213C2×C4×D3—21no—
214C2×C4×D3—21no—
215C2×C4×D3—21no—
216C2×C4×D3—21no—
217C2×C4×D3—21no—
218C2×C4×D3—21no—
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—22no—
222C2×C4×D3—22no—
223C2×C4×D3—22no—
224C2×C4×D3—22no—
225C2×C4×D3—41no—
226C2×C4×D3—41no—
227C2×C4×D3—41no—
228C2×C4×D3—41no—
229C2×C4×D3C22⋊C414yes—
230C2×C4×D3C22⋊C414yes—
231C2×C4×D3C2×D412yes—
232C2×C4×D3C2×D412yes—
233C2×C4×D3#4112yes—
234C2×C4×D3#4112yes—
235C2×Dic6—22no—
236C2×Dic6—22no—
237C2×Dic6—22no—
238C2×C3×C8—22no—
239C2×C3×C8—22no—
240C2×C3×C8—22no—
241C2×C3×C8—22no—
242C2×C3×C8—22no—
243C2×C3×C8—22no—
244C3×C42—22no—
245C3×C42—22no—
246C3×C42—21no—
247C3×C42—21no—
248C3×C42C2×D412yes—
249C3×C42C2×D412yes—
250#217—22no—
251#217—22no—
252(C2×D3)⋊C4—22no—
253(C2×D3)⋊C4—22no—
254(C2×D3)⋊C4—22no—
255(C2×D3)⋊C4—22no—
256C4⋊Dic3—22no—
257C4⋊Dic3—22no—
258Dic3⋊C4—22no—
259Dic3⋊C4—22no—
260Dic3⋊C4—22no—
261Dic3⋊C4—22no—
262C4×Dic3—22no—
263C4×Dic3—22no—
264C4×Dic3—21no—
265C4×Dic3—21no—
266C4×Dic3C22⋊C414yes—
267C4×Dic3C22⋊C414yes—
268C4×Dic3C2×D412yes—
269C4×Dic3C2×D412yes—
270C2×C3⋊C8—22no—
271C2×C3⋊C8—22no—
272C2×C3⋊C8—22no—
273C2×C3⋊C8—22no—
274C2×C3⋊C8—22no—
275C2×C3⋊C8—22no—
276C2×#41—62no—
277C2×#41—62no—
278C2×#41—62no—
279C2×#41—62no—
280C2×#41—62no—
281C2×#41—62no—
282C22×Q8—31no—
283C22×D4—31no—
284C22×D4—31no—
285C22×D4—31no—
286C23×C4—31no—
287C23×C4—31no—
288C23×C4—31no—
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—31no—
292C23×C4C4×D311yescharacteristic
293C23×C4C4×D311yescharacteristic
294C23×C4C22×D311yescharacteristic
295C22×C8—32no—
296C22×C8—32no—
297C22×C8C22×D312yes—
298C22×C8C22×D312yes—
299C4×Q8—64no—
300C4×Q8—64no—
301C4×D4—64no—
302C4×D4—64no—
303C4×D4—64no—
304C4×D4—64no—
305C4×D4—64no—
306C4×D4—64no—
307#117—62no—
308#117—62no—
309#117—62no—
310#117—62no—
311#117—62no—
312#117—62no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—31no—
315C2×C4⋊C4—31no—
316C2×C4⋊C4—31no—
317C2×C4⋊C4—31no—
318C2×C4⋊C4—31no—
319C2×C22⋊C4—31no—
320C2×C22⋊C4—31no—
321C2×C22⋊C4—31no—
322C2×C22⋊C4—31no—
323C2×C22⋊C4—31no—
324C2×C22⋊C4—31no—
325C2×C42—22no—
326C2×C42—22no—
327C2×C42—31no—
328C2×C42—31no—
329C2×C42—31no—
330C2×C42—34no—
331C2×C42—34no—
332C2×C42—31no—
333C2×C42—31no—
334C2×C42—31no—
335C2×C42—62no—
336C2×C42—62no—
337C2×C42C4×D311yescharacteristic
338C2×C42C4×D311yescharacteristic
339C2×C42C22×D311yescharacteristic
340C2×C42C22×D311yescharacteristic
341C4⋊C8—22no—
342C4⋊C8—22no—
343C4⋊C8—62no—
344C4⋊C8—62no—
345C22⋊C8—24no—
346C22⋊C8—64no—
347C22⋊C8—64no—
348C22⋊C8—64no—
349C22⋊C8—64no—
350C22⋊C8—64no—
351#97—64no—
352C4×C8—64no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3#11712yes—
360C23×C3C23×C411yescharacteristic
361C22×D3—21no—
362C22×D3—21no—
363C22×D3—21no—
364C22×D3—21no—
365C22×D3—21no—
366C22×D3—21no—
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3C2×C22⋊C412yes—
374C22×D3#11712yes—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—44no—
390C2×C3×C4—44no—
391C2×C3×C4C2×C22⋊C412yes—
392C2×C3×C4C2×C22⋊C412yes—
393C2×C3×C4#11712yes—
394C2×C3×C4#13112yes—
395C2×C3×C4#13112yes—
396C2×C3×C4C22×D411yescharacteristic
397C2×C3×C4C22×D411yescharacteristic
398C2×C3×C4C2×#4111yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402#67—28no—
403#67—28no—
404C2×Dic3—21no—
405C2×Dic3—21no—
406C2×Dic3—21no—
407C2×Dic3—21no—
408C2×Dic3—21no—
409C2×Dic3—21no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3C2×C22⋊C412yes—
419C2×Dic3C2×C22⋊C412yes—
420C2×Dic3C2×C22⋊C412yes—
421C2×Dic3#11712yes—
422D12—28no—
423C4×D3—22no—
424C4×D3—22no—
425C4×D3—22no—
426C4×D3—22no—
427C4×D3—22no—
428C4×D3—22no—
429C4×D3—22no—
430C4×D3—22no—
431C4×D3—28no—
432C4×D3—44no—
433C4×D3—44no—
434C4×D3—44no—
435Dic6—28no—
436C3×C8—42no—
437C3×C8—42no—
438C3⋊C8—42no—
439C3⋊C8—42no—
440C24—31no—
441C24—31no—
442C24C2×C4×D311yescharacteristic
443#41—68no—
444#41—68no—
445#41—68no—
446#41—68no—
447C2×Q8—62no—
448C2×Q8—62no—
449C2×Q8—62no—
450C2×D4—62no—
451C2×D4—62no—
452C2×D4—62no—
453C2×D4—62no—
454C2×D4—62no—
455C2×D4—62no—
456C2×D4—62no—
457C2×D4—62no—
458C2×D4—62no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—31no—
468C22×C4—31no—
469C22×C4—31no—
470C22×C4—31no—
471C22×C4—34no—
472C22×C4—32no—
473C22×C4—32no—
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—34no—
477C22×C4—31no—
478C22×C4—31no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—121no—
496C22×C4—121no—
497C22×C4—121no—
498C22×C4—121no—
499C22×C4C2×C4×D311yescharacteristic
500C22×C4C2×C4×D311yescharacteristic
501C22×C4C2×C4×D311yescharacteristic
502C22×C4C2×C4×D311yescharacteristic
503C22×C4C2×C4×D311yescharacteristic
504C22×C4#23712yes—
505C22×C4#23912yes—
506C22×C4C23×D311yescharacteristic
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—62no—
514C2×C8—62no—
515C2×C8—62no—
516C2×C8—62no—
517C2×C8—62no—
518C2×C8—62no—
519C4⋊C4—62no—
520C4⋊C4—62no—
521C4⋊C4—62no—
522C4⋊C4—62no—
523C4⋊C4—62no—
524C4⋊C4—62no—
525C22⋊C4—62no—
526C22⋊C4—62no—
527C22⋊C4—62no—
528C22⋊C4—62no—
529C22⋊C4—62no—
530C22⋊C4—62no—
531C42—22no—
532C42—22no—
533C42—21no—
534C42—21no—
535C42—34no—
536C42—34no—
537C42—32no—
538C42—32no—
539C42—62no—
540C42—62no—
541C42—61no—
542C42—61no—
543C42D3×D412yes—
544C42D3×D412yes—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3C22×C22⋊C411yescharacteristic
553C22×C3C2×#11711yescharacteristic
554C22×C3C2×#11711yescharacteristic
555C22×C3C2×#13111yescharacteristic
556C22×C3C2×#13111yescharacteristic
557C22×C3#56811yescharacteristic
558C22×C3#56811yescharacteristic
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—22no—
565C2×D3—41no—
566C2×D3—41no—
567C2×D3—41no—
568C2×D3—41no—
569C2×D3—41no—
570C2×D3—41no—
571C2×D3—41no—
572C2×D3—41no—
573C3×C4—22no—
574C3×C4—22no—
575C3×C4—41no—
576C3×C4—41no—
577C3×C4#40814yes—
578C3×C4#52511yescharacteristic
579C3×C4#52511yescharacteristic
580C3×C4#52511yescharacteristic
581C3×C4#52511yescharacteristic
582Dic3—22no—
583Dic3—22no—
584Dic3—22no—
585Dic3—22no—
586Dic3—41no—
587Dic3—41no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—32no—
595C23—32no—
596C23—61no—
597C23—61no—
598C23—61no—
599C23—61no—
600C23—61no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23#89212yes—
609C23C22×C4×D311yescharacteristic
610Q8—68no—
611D4—68no—
612D4—68no—
613D4—68no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—32no—
629C2×C4—32no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—68no—
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—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—124no—
658C2×C4—124no—
659C2×C4—124no—
660C2×C4D3×C22⋊C412yes—
661C2×C4D3×C22⋊C412yes—
662C2×C4#89212yes—
663C2×C4#90112yes—
664C2×C4#90712yes—
665C2×C4C2×D3×D411yescharacteristic
666C2×C4C2×D3×D411yescharacteristic
667C2×C4C2×#23711yescharacteristic
668C2×C4C2×#23911yescharacteristic
669C2×C4D3×#4111yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C8—42no—
672C8—42no—
673C8—122no—
674C8—122no—
675C2×C3—42no—
676C2×C3#228011yescharacteristic
677C2×C3C2×#40811yescharacteristic
678C2×C3#287911yescharacteristic
679C2×C3#292511yescharacteristic
680C2×C3#292511yescharacteristic
681C2×C3#292511yescharacteristic
682C2×C3#292511yescharacteristic
683D3—42no—
684D3—42no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—62no—
693C22—62no—
694C22—62no—
695C22—62no—
696C22—62no—
697C22—62no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22C2×D3×C22⋊C411yescharacteristic
707C22C2×#89211yescharacteristic
708C22D3×#11711yescharacteristic
709C22C2×#90111yescharacteristic
710C22C2×#90711yescharacteristic
711C22#574511yescharacteristic
712C22#574511yescharacteristic
713C4—22no—
714C4—22no—
715C4—41no—
716C4—41no—
717C4—62no—
718C4—62no—
719C4—62no—
720C4—62no—
721C4—121no—
722C4—121no—
723C4#472714yes—
724C4#560611yescharacteristic
725C4#560611yescharacteristic
726C4#562711yescharacteristic
727C4#562711yescharacteristic
728C3#2072111yescharacteristic, complemented, Sylow
729C2—42no—
730C2—122no—
731C2—122no—
732C2#7386211yescharacteristic
733C2C2×#472711yescharacteristic
734C2#7863011yescharacteristic
735C2#7900011yescharacteristic
736C2#7904011yescharacteristic
737C2#7928511yescharacteristic
738C2#7933411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D3
commutator, socleC23×C3C23×C4
FittingC3×#1797C2
prime radicalC22×#235C22
cosocleC22×C3×C4C24
hypercenter#1797D3
hypocenterC3#20721
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#4835C2semidirect
3. C2×#4833C2semidirect
4. C3×#1797C2semidirect
5. #71530C2semidirect
6. #70475C2semidirect
7. #70475C2semidirect
9. #69907C2semidirect
10. #68665C2semidirect
11. #68601C2semidirect
55. #1797D3semidirect
728. C3#20721semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#2352
C2×#48352
C2×#48332
C3×#17972
#715302
#704752
#699562
#699072
#686652
#686012
#207213