Finite Group Databasebeta

← #10733660

Subgroups — #10733660

Order 768.

2922 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#895C211yesmaximal, characteristic, complemented
2C2×#4994C211yesmaximal, characteristic, complemented
3C2×#4939C211yesmaximal, characteristic, complemented
4C2×#4939C211yesmaximal, characteristic, complemented
5C2×#4671C211yesmaximal, characteristic, complemented
6C2×#4671C211yesmaximal, characteristic, complemented
7C2×#4671C211yesmaximal, characteristic, complemented
8C2×#4665C211yesmaximal, characteristic, complemented
9C2×#4668C211yesmaximal, characteristic, complemented
10C2×#4672C211yesmaximal, characteristic, complemented
11C3×#1436C211yesmaximal, characteristic, complemented
12#69427C211yesmaximal, characteristic, complemented
13#69427C211yesmaximal, characteristic, complemented
14#69426C211yesmaximal, characteristic, complemented
15#69426C211yesmaximal, characteristic, complemented
16#15315—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C23×D12C2211yescharacteristic
19C23×D12C2211yescharacteristic
20C23×D12C2211yescharacteristic
21C23×D12C2211yescharacteristic
22C23×D12C2211yescharacteristic
23C23×C4×D3C2211yescharacteristic
24C22×C3×C4⋊C4C2211yescharacteristic
25C22×C3×C42C2211yescharacteristic
26C22×(C2×D3)⋊C4C2211yescharacteristic
27C22×(C2×D3)⋊C4C2211yescharacteristic
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C22×(C2×D3)⋊C4C2211yescharacteristic
30C22×(C2×D3)⋊C4C2211yescharacteristic
31C22×(C2×D3)⋊C4C2211yescharacteristic
32C22×(C2×D3)⋊C4C2211yescharacteristic
33C22×(C2×D3)⋊C4C2211yescharacteristic
34C22×(C2×D3)⋊C4C2211yescharacteristic
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×C4⋊Dic3C2211yescharacteristic
42C22×C4⋊Dic3C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic
44C2×#895—24no—
45C2×#895—24no—
46C2×#895—24no—
47C2×C3×#95C2211yescharacteristic
48C2×C3×#95C2211yescharacteristic
49C2×C3×#95C2211yescharacteristic
50C2×C3×#95C2211yescharacteristic
51C2×C3×#95C2211yescharacteristic
52C2×C3⋊#95C2211yescharacteristic
53C2×C3⋊#95C2211yescharacteristic
54C2×C3⋊#95C2211yescharacteristic
55#4994—24no—
56#4939—24no—
57#4939—24no—
58#4672—24no—
59#4671—24no—
60#4671—24no—
61#4671—24no—
62#4668—24no—
63#4665—24no—
64C22×#121—31no—
65C2×#396—31no—
66C2×#394—31no—
67C2×#392—31no—
68C2×#392—31no—
69C2×#392—31no—
70C2×#390—31no—
71C2×#390—31no—
72C2×#386—31no—
73C2×#385—31no—
74#1439—31no—
75#1439—31no—
76#1438—31no—
77#1438—31no—
78#1436D311yescharacteristic, complemented
79C24×D3C2311yescharacteristic
80C24×D3C2311yescharacteristic
81C24×D3C2311yescharacteristic
82C24×D3C2311yescharacteristic
83C23×C3×C4C2311yescharacteristic
84C23×C3×C4C2311yescharacteristic
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×Dic3C2311yescharacteristic
91C23×Dic3C2311yescharacteristic
92C23×Dic3C2311yescharacteristic
93C23×Dic3C2311yescharacteristic
94C22×D12—22no—
95C22×D12—22no—
96C22×D12—22no—
97C22×D12—22no—
98C22×D12—22no—
99C22×D12—22no—
100C22×D12—22no—
101C22×D12—22no—
102C22×D12—22no—
103C22×D12—22no—
104C22×D12—22no—
105C22×D12—22no—
106C22×D12—22no—
107C22×D12—22no—
108C22×D12—22no—
109C22×D12—22no—
110C22×D12—22no—
111C22×D12—22no—
112C22×D12—22no—
113C22×D12—22no—
114C22×D12—22no—
115C22×D12—22no—
116C22×D12—22no—
117C22×D12—22no—
118C22×D12—22no—
119C22×D12—22no—
120C22×D12—22no—
121C22×D12—41no—
122C22×D12—41no—
123C22×D12—41no—
124C22×D12—41no—
125C22×D12—41no—
126C22×D12—41no—
127C22×D12—41no—
128C22×D12—41no—
129C22×D12—41no—
130C22×D12—41no—
131C22×D12—41no—
132C22×D12—41no—
133C22×D12—41no—
134C22×D12—41no—
135C22×D12D414yescomplemented
136C22×C4×D3—22no—
137C22×C4×D3—22no—
138C22×C4×D3—22no—
139C22×C4×D3—22no—
140C22×C4×D3—22no—
141C22×C4×D3—41no—
142C22×C4×D3—41no—
143C2×C3×C4⋊C4—22no—
144C2×C3×C4⋊C4—22no—
145C2×C3×C4⋊C4D414yescomplemented
146C2×C3×C42—22no—
147C2×C3×C42—22no—
148C2×C3×C42—41no—
149C2×(C2×D3)⋊C4—22no—
150C2×(C2×D3)⋊C4—22no—
151C2×(C2×D3)⋊C4—22no—
152C2×(C2×D3)⋊C4—22no—
153C2×(C2×D3)⋊C4—22no—
154C2×(C2×D3)⋊C4—22no—
155C2×(C2×D3)⋊C4—22no—
156C2×(C2×D3)⋊C4—22no—
157C2×(C2×D3)⋊C4—22no—
158C2×(C2×D3)⋊C4—22no—
159C2×(C2×D3)⋊C4—22no—
160C2×(C2×D3)⋊C4—22no—
161C2×(C2×D3)⋊C4—22no—
162C2×(C2×D3)⋊C4—22no—
163C2×(C2×D3)⋊C4—22no—
164C2×(C2×D3)⋊C4—22no—
165C2×(C2×D3)⋊C4—22no—
166C2×(C2×D3)⋊C4—22no—
167C2×(C2×D3)⋊C4—22no—
168C2×(C2×D3)⋊C4—22no—
169C2×(C2×D3)⋊C4—22no—
170C2×(C2×D3)⋊C4—22no—
171C2×(C2×D3)⋊C4—22no—
172C2×(C2×D3)⋊C4—22no—
173C2×(C2×D3)⋊C4—22no—
174C2×(C2×D3)⋊C4—22no—
175C2×(C2×D3)⋊C4—22no—
176C2×(C2×D3)⋊C4—22no—
177C2×(C2×D3)⋊C4—22no—
178C2×(C2×D3)⋊C4—22no—
179C2×(C2×D3)⋊C4—22no—
180C2×(C2×D3)⋊C4—22no—
181C2×(C2×D3)⋊C4—22no—
182C2×(C2×D3)⋊C4—41no—
183C2×(C2×D3)⋊C4—41no—
184C2×(C2×D3)⋊C4—41no—
185C2×(C2×D3)⋊C4—41no—
186C2×(C2×D3)⋊C4—41no—
187C2×(C2×D3)⋊C4—41no—
188C2×(C2×D3)⋊C4—41no—
189C2×(C2×D3)⋊C4—41no—
190C2×(C2×D3)⋊C4—41no—
191C2×(C2×D3)⋊C4—41no—
192C2×(C2×D3)⋊C4D414yescomplemented
193C2×(C2×D3)⋊C4D414yescomplemented
194C2×C4⋊Dic3—22no—
195C2×C4⋊Dic3—22no—
196C2×C4⋊Dic3—22no—
197C2×C4⋊Dic3—22no—
198C2×C4⋊Dic3—41no—
199C2×C4⋊Dic3—41no—
200C2×Dic3⋊C4—22no—
201C2×Dic3⋊C4—22no—
202C2×Dic3⋊C4—22no—
203#895—232no—
204C3×#95—22no—
205C3×#95—22no—
206C3×#95—41no—
207C3×#95D414yescomplemented
208C3×#95D414yescomplemented
209C3⋊#95—22no—
210C3⋊#95—22no—
211C3⋊#95—22no—
212C23×D4—31no—
213C23×D4—31no—
214C23×D4—31no—
215C23×D4—31no—
216C23×D4—31no—
217C23×D4—31no—
218C24×C4—31no—
219C2×#121—64no—
220C2×#121—64no—
221C2×#121—64no—
222C22×C4⋊C4—31no—
223C22×C4⋊C4—31no—
224C22×C4⋊C4—31no—
225C22×C4⋊C4C2×D311yescharacteristic
226C22×C22⋊C4—31no—
227C22×C22⋊C4—31no—
228C22×C22⋊C4—31no—
229C22×C22⋊C4—31no—
230C22×C22⋊C4—31no—
231C22×C22⋊C4—31no—
232C22×C22⋊C4—31no—
233C22×C22⋊C4—31no—
234C22×C22⋊C4—31no—
235C22×C22⋊C4—31no—
236C22×C22⋊C4—31no—
237C22×C22⋊C4—31no—
238C22×C22⋊C4—31no—
239C22×C22⋊C4—31no—
240C22×C22⋊C4—31no—
241C22×C42C2×D311yescharacteristic
242#396—64no—
243#394—64no—
244#392—64no—
245#392—64no—
246#392—64no—
247#390—64no—
248#390—64no—
249#386—64no—
250#385—64no—
251C2×#95—31no—
252C2×#95—31no—
253C2×#95—31no—
254C2×#95C2×D311yescharacteristic
255C2×#95C2×D311yescharacteristic
256C2×#95C2×D311yescharacteristic
257C2×#95C2×D311yescharacteristic
258C2×#95C2×D311yescharacteristic
259C24×C3C2411yescharacteristic
260C23×D3—21no—
261C23×D3—21no—
262C23×D3—21no—
263C23×D3—21no—
264C23×D3—21no—
265C23×D3—21no—
266C23×D3—21no—
267C23×D3—21no—
268C23×D3—21no—
269C23×D3—21no—
270C23×D3—21no—
271C23×D3—21no—
272C23×D3—21no—
273C23×D3—21no—
274C23×D3—21no—
275C23×D3—21no—
276C23×D3—21no—
277C23×D3—21no—
278C23×D3—21no—
279C23×D3—21no—
280C23×D3—21no—
281C23×D3—21no—
282C23×D3—21no—
283C23×D3—21no—
284C23×D3—21no—
285C23×D3—21no—
286C23×D3—21no—
287C23×D3—21no—
288C23×D3—21no—
289C23×D3—21no—
290C23×D3—21no—
291C23×D3—21no—
292C23×D3—21no—
293C23×D3—21no—
294C23×D3—21no—
295C23×D3—21no—
296C23×D3—21no—
297C23×D3—21no—
298C23×D3—21no—
299C23×D3—21no—
300C23×D3—21no—
301C23×D3—21no—
302C23×D3—21no—
303C23×D3—21no—
304C23×D3—21no—
305C23×D3—21no—
306C23×D3—21no—
307C23×D3—21no—
308C23×D3—21no—
309C23×D3—21no—
310C23×D3—21no—
311C23×D3—21no—
312C23×D3—21no—
313C23×D3—21no—
314C23×D3C2×D412yes—
315C23×D3C2×D412yes—
316C23×D3C2×D412yes—
317C23×D3C2×D412yes—
318C23×D3#4112yes—
319C23×D3#4112yes—
320C22×C3×C4—21no—
321C22×C3×C4—21no—
322C22×C3×C4—21no—
323C22×C3×C4—21no—
324C22×C3×C4—21no—
325C22×C3×C4—21no—
326C22×C3×C4—21no—
327C22×C3×C4—21no—
328C22×C3×C4—21no—
329C22×C3×C4—21no—
330C22×C3×C4—21no—
331C22×C3×C4—21no—
332C22×C3×C4—21no—
333C22×C3×C4—21no—
334C22×C3×C4—21no—
335C22×C3×C4—21no—
336C22×C3×C4—21no—
337C22×C3×C4—21no—
338C22×C3×C4—21no—
339C22×C3×C4—21no—
340C22×C3×C4—21no—
341C22×C3×C4—21no—
342C22×C3×C4—21no—
343C22×C3×C4—21no—
344C22×C3×C4—21no—
345C22×C3×C4—21no—
346C22×C3×C4—21no—
347C22×C3×C4—21no—
348C22×C3×C4—21no—
349C22×C3×C4—21no—
350C22×C3×C4—21no—
351C22×C3×C4—21no—
352C22×C3×C4—21no—
353C22×C3×C4—21no—
354C22×C3×C4—21no—
355C22×C3×C4—21no—
356C22×C3×C4C2×D412yes—
357C22×C3×C4C2×D412yes—
358C22×C3×C4C2×D412yes—
359C22×C3×C4C2×D412yes—
360C22×C3×C4C2×D412yes—
361C22×C3×C4C2×D412yes—
362C22×C3×C4C2×D412yes—
363C22×C3×C4C2×D412yes—
364C22×C3×C4C2×D412yes—
365C22×C3×C4C2×D412yes—
366C22×C3×C4C2×D412yes—
367C22×C3×C4C2×D412yes—
368C22×C3×C4#4112yes—
369C22×Dic3—21no—
370C22×Dic3—21no—
371C22×Dic3—21no—
372C22×Dic3—21no—
373C22×Dic3—21no—
374C22×Dic3—21no—
375C22×Dic3—21no—
376C22×Dic3—21no—
377C22×Dic3—21no—
378C22×Dic3—21no—
379C22×Dic3—21no—
380C22×Dic3—21no—
381C22×Dic3—21no—
382C22×Dic3—21no—
383C22×Dic3—21no—
384C22×Dic3—21no—
385C22×Dic3—21no—
386C22×Dic3—21no—
387C22×Dic3—21no—
388C22×Dic3—21no—
389C22×Dic3—21no—
390C22×Dic3—21no—
391C22×Dic3—21no—
392C22×Dic3—21no—
393C22×Dic3—21no—
394C22×Dic3—21no—
395C22×Dic3C2×D412yes—
396C22×Dic3C2×D412yes—
397C2×D12—28no—
398C2×D12—28no—
399C2×D12—28no—
400C2×D12—28no—
401C2×D12—28no—
402C2×D12—28no—
403C2×D12—44no—
404C2×D12—44no—
405C2×D12—44no—
406C2×D12—44no—
407C2×D12—44no—
408C2×D12—44no—
409C2×D12—44no—
410C2×D12—44no—
411C2×D12—44no—
412C2×D12—44no—
413C2×D12—44no—
414C2×D12—44no—
415C2×D12—44no—
416C2×D12—44no—
417C2×D12—44no—
418C2×D12—44no—
419C2×D12—44no—
420C2×D12—44no—
421C2×D12—44no—
422C2×D12—44no—
423C2×D12—44no—
424C2×D12—44no—
425C2×D12—44no—
426C2×D12—44no—
427C2×D12—44no—
428C2×D12—44no—
429C2×D12—44no—
430C2×D12—44no—
431C2×D12—44no—
432C2×D12—44no—
433C2×D12—44no—
434C2×D12—44no—
435C2×D12—44no—
436C2×D12—44no—
437C2×D12—44no—
438C2×D12—44no—
439C2×C4×D3—28no—
440C2×C4×D3—44no—
441C2×C4×D3—44no—
442C2×C4×D3—44no—
443C2×C4×D3—44no—
444C2×C4×D3—44no—
445C2×C4×D3—44no—
446C3×C4⋊C4—28no—
447C3×C42—44no—
448(C2×D3)⋊C4—28no—
449(C2×D3)⋊C4—28no—
450(C2×D3)⋊C4—28no—
451(C2×D3)⋊C4—44no—
452(C2×D3)⋊C4—44no—
453(C2×D3)⋊C4—44no—
454(C2×D3)⋊C4—44no—
455(C2×D3)⋊C4—44no—
456(C2×D3)⋊C4—44no—
457(C2×D3)⋊C4—44no—
458(C2×D3)⋊C4—44no—
459(C2×D3)⋊C4—44no—
460(C2×D3)⋊C4—44no—
461(C2×D3)⋊C4—44no—
462(C2×D3)⋊C4—44no—
463C4⋊Dic3—44no—
464C4⋊Dic3—44no—
465Dic3⋊C4—44no—
466C25—31no—
467C25—31no—
468C25—31no—
469C25—31no—
470C22×D4—34no—
471C22×D4—62no—
472C22×D4—62no—
473C22×D4—62no—
474C22×D4—62no—
475C22×D4—62no—
476C22×D4—62no—
477C22×D4—62no—
478C22×D4—62no—
479C22×D4—62no—
480C22×D4—62no—
481C22×D4—62no—
482C22×D4—62no—
483C22×D4—62no—
484C22×D4—62no—
485C22×D4—62no—
486C22×D4—62no—
487C22×D4—62no—
488C22×D4—62no—
489C22×D4—62no—
490C22×D4—62no—
491C22×D4—62no—
492C22×D4—62no—
493C22×D4—62no—
494C22×D4—62no—
495C22×D4—62no—
496C22×D4—62no—
497C22×D4—62no—
498C22×D4—121no—
499C22×D4—121no—
500C22×D4—121no—
501C22×D4—121no—
502C22×D4—121no—
503C22×D4—121no—
504C22×D4—121no—
505C22×D4—121no—
506C22×D4—121no—
507C22×D4—121no—
508C22×D4—121no—
509C22×D4—121no—
510C22×D4—121no—
511C22×D4—121no—
512C23×C4—31no—
513C23×C4—31no—
514C23×C4—31no—
515C23×C4—31no—
516C23×C4—62no—
517C23×C4—62no—
518C23×C4—62no—
519C23×C4—62no—
520C23×C4—62no—
521C23×C4—121no—
522C23×C4—121no—
523C23×C4C22×D311yescharacteristic
524C23×C4C22×D311yescharacteristic
525C23×C4C22×D311yescharacteristic
526C23×C4C22×D311yescharacteristic
527C23×C4C22×D311yescharacteristic
528C23×C4C22×D311yescharacteristic
529C23×C4C22×D311yescharacteristic
530#121—632no—
531C2×C4⋊C4—22no—
532C2×C4⋊C4—22no—
533C2×C4⋊C4—62no—
534C2×C4⋊C4—62no—
535C2×C4⋊C4—62no—
536C2×C4⋊C4—62no—
537C2×C4⋊C4—62no—
538C2×C4⋊C4—62no—
539C2×C4⋊C4—62no—
540C2×C4⋊C4—121no—
541C2×C4⋊C4—121no—
542C2×C4⋊C4D1214yescomplemented
543C2×C22⋊C4—34no—
544C2×C22⋊C4—34no—
545C2×C22⋊C4—62no—
546C2×C22⋊C4—62no—
547C2×C22⋊C4—62no—
548C2×C22⋊C4—62no—
549C2×C22⋊C4—62no—
550C2×C22⋊C4—62no—
551C2×C22⋊C4—62no—
552C2×C22⋊C4—62no—
553C2×C22⋊C4—62no—
554C2×C22⋊C4—62no—
555C2×C22⋊C4—62no—
556C2×C22⋊C4—62no—
557C2×C22⋊C4—62no—
558C2×C22⋊C4—62no—
559C2×C22⋊C4—62no—
560C2×C22⋊C4—62no—
561C2×C22⋊C4—62no—
562C2×C22⋊C4—62no—
563C2×C22⋊C4—62no—
564C2×C22⋊C4—62no—
565C2×C22⋊C4—62no—
566C2×C22⋊C4—62no—
567C2×C22⋊C4—62no—
568C2×C22⋊C4—62no—
569C2×C22⋊C4—62no—
570C2×C22⋊C4—62no—
571C2×C22⋊C4—62no—
572C2×C22⋊C4—62no—
573C2×C22⋊C4—62no—
574C2×C22⋊C4—62no—
575C2×C22⋊C4—62no—
576C2×C22⋊C4—62no—
577C2×C22⋊C4—62no—
578C2×C22⋊C4—121no—
579C2×C22⋊C4—121no—
580C2×C22⋊C4—121no—
581C2×C22⋊C4—121no—
582C2×C22⋊C4—121no—
583C2×C22⋊C4—121no—
584C2×C22⋊C4—121no—
585C2×C22⋊C4—121no—
586C2×C22⋊C4—121no—
587C2×C22⋊C4—121no—
588C2×C42—22no—
589C2×C42—22no—
590C2×C42—41no—
591#95—22no—
592#95—22no—
593#95—41no—
594#95—62no—
595#95—62no—
596#95—62no—
597#95D1214yescomplemented
598#95D1214yescomplemented
599C23×C3C22×D411yescharacteristic
600C23×C3C22×D411yescharacteristic
601C23×C3C22×D411yescharacteristic
602C23×C3C22×D411yescharacteristic
603C23×C3C22×D411yescharacteristic
604C23×C3C22×D411yescharacteristic
605C23×C3C2×#4111yescharacteristic
606C23×C3C2×#4111yescharacteristic
607C23×C3C2×#4111yescharacteristic
608C23×C3H(5,𝔽2)11yescharacteristic
609C23×C3H(5,𝔽2)11yescharacteristic
610C23×C3H(5,𝔽2)11yescharacteristic
611C23×C3H(5,𝔽2)11yescharacteristic
612C23×C3H(5,𝔽2)11yescharacteristic
613C23×C32−1+411yescharacteristic
614C22×D3—22no—
615C22×D3—22no—
616C22×D3—22no—
617C22×D3—22no—
618C22×D3—22no—
619C22×D3—22no—
620C22×D3—22no—
621C22×D3—22no—
622C22×D3—22no—
623C22×D3—22no—
624C22×D3—22no—
625C22×D3—22no—
626C22×D3—22no—
627C22×D3—22no—
628C22×D3—22no—
629C22×D3—22no—
630C22×D3—22no—
631C22×D3—22no—
632C22×D3—22no—
633C22×D3—22no—
634C22×D3—22no—
635C22×D3—22no—
636C22×D3—22no—
637C22×D3—22no—
638C22×D3—22no—
639C22×D3—22no—
640C22×D3—22no—
641C22×D3—22no—
642C22×D3—22no—
643C22×D3—22no—
644C22×D3—22no—
645C22×D3—22no—
646C22×D3—22no—
647C22×D3—22no—
648C22×D3—22no—
649C22×D3—22no—
650C22×D3—22no—
651C22×D3—22no—
652C22×D3—22no—
653C22×D3—41no—
654C22×D3—41no—
655C22×D3—41no—
656C22×D3—41no—
657C22×D3—41no—
658C22×D3—41no—
659C22×D3—41no—
660C22×D3—41no—
661C22×D3—41no—
662C22×D3—41no—
663C22×D3—41no—
664C22×D3—41no—
665C22×D3—41no—
666C22×D3—41no—
667C22×D3—41no—
668C22×D3—41no—
669C22×D3—41no—
670C22×D3—41no—
671C22×D3—41no—
672C22×D3—41no—
673C22×D3—41no—
674C22×D3—41no—
675C22×D3—41no—
676C22×D3—41no—
677C22×D3—41no—
678C22×D3—41no—
679C22×D3—41no—
680C22×D3—41no—
681C22×D3—41no—
682C22×D3—41no—
683C22×D3—41no—
684C22×D3—41no—
685C22×D3—41no—
686C22×D3—41no—
687C22×D3—41no—
688C22×D3—41no—
689C22×D3—41no—
690C22×D3—41no—
691C22×D3—41no—
692C22×D3—41no—
693C22×D3—41no—
694C22×D3—41no—
695C22×D3—41no—
696C22×D3—41no—
697C22×D3—41no—
698C22×D3—41no—
699C22×D3—41no—
700C22×D3—41no—
701C22×D3—41no—
702C22×D3—41no—
703C22×D3—41no—
704C22×D3—41no—
705C22×D3—41no—
706C22×D3—41no—
707C22×D3—41no—
708C22×D3—41no—
709C22×D3—41no—
710C22×D3—41no—
711C22×D3—41no—
712C22×D3—41no—
713C22×D3—41no—
714C22×D3—41no—
715C22×D3—41no—
716C22×D3—41no—
717C22×D3—41no—
718C22×D3—41no—
719C22×D3—41no—
720C22×D3—41no—
721C22×D3—41no—
722C22×D3—41no—
723C22×D3—41no—
724C22×D3—41no—
725C22×D3—41no—
726C22×D3—41no—
727C22×D3—41no—
728C22×D3—41no—
729C22×D3—41no—
730C22×D3—41no—
731C22×D3—41no—
732C22×D3—41no—
733C22×D3—41no—
734C22×D3—41no—
735C22×D3—41no—
736C22×D3—41no—
737C22×D3—41no—
738C22×D3—41no—
739C22×D3—41no—
740C22×D3—41no—
741C22×D3—41no—
742C22×D3—41no—
743C22×D3—41no—
744C22×D3—41no—
745C22×D3—41no—
746C22×D3—41no—
747C22×D3—41no—
748C22×D3—41no—
749C22×D3—41no—
750C22×D3—41no—
751C22×D3—41no—
752C22×D3—41no—
753C22×D3#12114yes—
754C2×C3×C4—22no—
755C2×C3×C4—22no—
756C2×C3×C4—22no—
757C2×C3×C4—22no—
758C2×C3×C4—22no—
759C2×C3×C4—22no—
760C2×C3×C4—22no—
761C2×C3×C4—22no—
762C2×C3×C4—22no—
763C2×C3×C4—22no—
764C2×C3×C4—22no—
765C2×C3×C4—22no—
766C2×C3×C4—22no—
767C2×C3×C4—22no—
768C2×C3×C4—22no—
769C2×C3×C4—22no—
770C2×C3×C4—22no—
771C2×C3×C4—22no—
772C2×C3×C4—22no—
773C2×C3×C4—22no—
774C2×C3×C4—22no—
775C2×C3×C4—22no—
776C2×C3×C4—22no—
777C2×C3×C4—22no—
778C2×C3×C4—22no—
779C2×C3×C4—22no—
780C2×C3×C4—22no—
781C2×C3×C4—22no—
782C2×C3×C4—22no—
783C2×C3×C4—22no—
784C2×C3×C4—41no—
785C2×C3×C4—41no—
786C2×C3×C4—41no—
787C2×C3×C4—41no—
788C2×C3×C4—41no—
789C2×C3×C4—41no—
790C2×C3×C4—41no—
791C2×C3×C4—41no—
792C2×C3×C4—41no—
793C2×C3×C4—41no—
794C2×C3×C4—41no—
795C2×C3×C4—41no—
796C2×C3×C4—41no—
797C2×C3×C4—41no—
798C2×C3×C4—41no—
799C2×C3×C4—41no—
800C2×C3×C4#12014yes—
801C2×C3×C4#12114yescomplemented
802C2×C3×C4#12714yes—
803C2×Dic3—22no—
804C2×Dic3—22no—
805C2×Dic3—22no—
806C2×Dic3—22no—
807C2×Dic3—22no—
808C2×Dic3—22no—
809C2×Dic3—41no—
810C2×Dic3—41no—
811C2×Dic3—41no—
812C2×Dic3—41no—
813C2×Dic3—41no—
814C2×Dic3—41no—
815C2×Dic3—41no—
816C2×Dic3—41no—
817C2×Dic3—41no—
818C2×Dic3—41no—
819C2×Dic3—41no—
820C2×Dic3—41no—
821C2×Dic3—41no—
822C2×Dic3—41no—
823C2×Dic3—41no—
824C2×Dic3—41no—
825C2×Dic3—41no—
826C2×Dic3—41no—
827C2×Dic3—41no—
828C2×Dic3—41no—
829C2×Dic3—41no—
830C2×Dic3—41no—
831D12—416no—
832D12—416no—
833D12—416no—
834D12—416no—
835D12—416no—
836D12—416no—
837C4×D3—416no—
838C24—32no—
839C24—32no—
840C24—32no—
841C24—32no—
842C24—32no—
843C24—32no—
844C24—61no—
845C24—61no—
846C24—61no—
847C24—61no—
848C24—61no—
849C24—61no—
850C24—61no—
851C24—61no—
852C24—61no—
853C24—61no—
854C24—61no—
855C24—61no—
856C24—61no—
857C24—61no—
858C24—61no—
859C24—61no—
860C24—61no—
861C24—61no—
862C24—61no—
863C24—61no—
864C24—61no—
865C24—61no—
866C24—61no—
867C24—61no—
868C24—61no—
869C24—61no—
870C24—61no—
871C24—61no—
872C24—61no—
873C24—61no—
874C24—61no—
875C24—61no—
876C24—61no—
877C24—61no—
878C24—61no—
879C24—61no—
880C24—61no—
881C24—61no—
882C24—61no—
883C24—61no—
884C24—61no—
885C24—61no—
886C24—61no—
887C24—61no—
888C24—61no—
889C24—61no—
890C24—61no—
891C24—61no—
892C24—61no—
893C24—61no—
894C24—61no—
895C24—61no—
896C24—61no—
897C24—61no—
898C24C23×D311yescharacteristic
899C2×D4—68no—
900C2×D4—68no—
901C2×D4—68no—
902C2×D4—68no—
903C2×D4—68no—
904C2×D4—68no—
905C2×D4—124no—
906C2×D4—124no—
907C2×D4—124no—
908C2×D4—124no—
909C2×D4—124no—
910C2×D4—124no—
911C2×D4—124no—
912C2×D4—124no—
913C2×D4—124no—
914C2×D4—124no—
915C2×D4—124no—
916C2×D4—124no—
917C2×D4—124no—
918C2×D4—124no—
919C2×D4—124no—
920C2×D4—124no—
921C2×D4—124no—
922C2×D4—124no—
923C2×D4—124no—
924C2×D4—124no—
925C2×D4—124no—
926C2×D4—124no—
927C2×D4—124no—
928C2×D4—124no—
929C2×D4—124no—
930C2×D4—124no—
931C2×D4—124no—
932C2×D4—124no—
933C2×D4—124no—
934C2×D4—124no—
935C2×D4—124no—
936C2×D4—124no—
937C2×D4—124no—
938C2×D4—124no—
939C2×D4—124no—
940C2×D4—124no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—32no—
978C22×C4—32no—
979C22×C4—68no—
980C22×C4—61no—
981C22×C4—61no—
982C22×C4—61no—
983C22×C4—61no—
984C22×C4—61no—
985C22×C4—61no—
986C22×C4—61no—
987C22×C4—61no—
988C22×C4—61no—
989C22×C4—61no—
990C22×C4—61no—
991C22×C4—61no—
992C22×C4—61no—
993C22×C4—61no—
994C22×C4—61no—
995C22×C4—61no—
996C22×C4—61no—
997C22×C4—61no—
998C22×C4—61no—
999C22×C4—61no—
1000C22×C4—61no—
1001C22×C4—61no—
1002C22×C4—61no—
1003C22×C4—61no—
1004C22×C4—61no—
1005C22×C4—61no—
1006C22×C4—124no—
1007C22×C4—124no—
1008C22×C4—124no—
1009C22×C4—124no—
1010C22×C4—124no—
1011C22×C4—124no—
1012C22×C4C2×D1212yes—
1013C22×C4C2×D1212yes—
1014C22×C4C2×D1212yes—
1015C22×C4C2×D1212yes—
1016C22×C4C2×D1212yes—
1017C22×C4C2×D1212yes—
1018C22×C4C2×D1212yes—
1019C22×C4C2×D1212yes—
1020C22×C4C2×D1212yes—
1021C22×C4D3×D412yes—
1022C22×C4D3×D412yes—
1023C22×C4D3×D412yes—
1024C22×C4#23912yes—
1025C4⋊C4—28no—
1026C4⋊C4—124no—
1027C4⋊C4—124no—
1028C4⋊C4—124no—
1029C22⋊C4—68no—
1030C22⋊C4—68no—
1031C22⋊C4—68no—
1032C22⋊C4—124no—
1033C22⋊C4—124no—
1034C22⋊C4—124no—
1035C22⋊C4—124no—
1036C22⋊C4—124no—
1037C22⋊C4—124no—
1038C22⋊C4—124no—
1039C22⋊C4—124no—
1040C22⋊C4—124no—
1041C22⋊C4—124no—
1042C22⋊C4—124no—
1043C22⋊C4—124no—
1044C42—44no—
1045C22×C3C2×#12011yescharacteristic
1046C22×C3C2×#12111yescharacteristic
1047C22×C3C2×#12111yescharacteristic
1048C22×C3#52511yescharacteristic
1049C22×C3#52511yescharacteristic
1050C22×C3C2×#12711yescharacteristic
1051C22×C3#53411yescharacteristic
1052C22×C3#53511yescharacteristic
1053C22×C3#53511yescharacteristic
1054C22×C3#53711yescharacteristic
1055C22×C3#53711yescharacteristic
1056C22×C3#53711yescharacteristic
1057C22×C3#53811yescharacteristic
1058C22×C3#53811yescharacteristic
1059C22×C3#53811yescharacteristic
1060C22×C3D4211yescharacteristic
1061C22×C3D4211yescharacteristic
1062C22×C3D4211yescharacteristic
1063C22×C3D4211yescharacteristic
1064C22×C3D4211yescharacteristic
1065C22×C3D4211yescharacteristic
1066C22×C3D4211yescharacteristic
1067C22×C3#54611yescharacteristic
1068C22×C3#54611yescharacteristic
1069C22×C3#54611yescharacteristic
1070C22×C3#54611yescharacteristic
1071C22×C3#54611yescharacteristic
1072C22×C3#54711yescharacteristic
1073C22×C3#54811yescharacteristic
1074C22×C3#54811yescharacteristic
1075C22×C3#55011yescharacteristic
1076C22×C3#55011yescharacteristic
1077C22×C3#55311yescharacteristic
1078C22×C3#56011yescharacteristic
1079C22×C3#56211yescharacteristic
1080C2×D3—24no—
1081C2×D3—24no—
1082C2×D3—24no—
1083C2×D3—42no—
1084C2×D3—42no—
1085C2×D3—42no—
1086C2×D3—42no—
1087C2×D3—42no—
1088C2×D3—42no—
1089C2×D3—42no—
1090C2×D3—42no—
1091C2×D3—42no—
1092C2×D3—42no—
1093C2×D3—42no—
1094C2×D3—42no—
1095C2×D3—42no—
1096C2×D3—42no—
1097C2×D3—42no—
1098C2×D3—42no—
1099C2×D3—42no—
1100C2×D3—42no—
1101C2×D3—42no—
1102C2×D3—42no—
1103C2×D3—42no—
1104C2×D3—42no—
1105C2×D3—42no—
1106C2×D3—42no—
1107C2×D3—42no—
1108C2×D3—42no—
1109C2×D3—42no—
1110C2×D3—42no—
1111C2×D3—42no—
1112C2×D3—42no—
1113C2×D3—42no—
1114C2×D3—42no—
1115C2×D3—42no—
1116C2×D3—81no—
1117C2×D3—81no—
1118C2×D3—81no—
1119C2×D3—81no—
1120C2×D3—81no—
1121C2×D3—81no—
1122C2×D3—81no—
1123C2×D3—81no—
1124C2×D3—81no—
1125C2×D3—81no—
1126C2×D3—81no—
1127C2×D3—81no—
1128C2×D3—81no—
1129C2×D3—81no—
1130C2×D3—81no—
1131C2×D3—81no—
1132C2×D3—81no—
1133C2×D3—81no—
1134C2×D3—81no—
1135C2×D3—81no—
1136C2×D3—81no—
1137C2×D3—81no—
1138C2×D3—81no—
1139C2×D3—81no—
1140C3×C4—24no—
1141C3×C4—24no—
1142C3×C4—24no—
1143C3×C4—42no—
1144C3×C4—42no—
1145C3×C4—42no—
1146C3×C4—42no—
1147Dic3—42no—
1148Dic3—42no—
1149Dic3—81no—
1150Dic3—81no—
1151C23—34no—
1152C23—62no—
1153C23—62no—
1154C23—62no—
1155C23—62no—
1156C23—62no—
1157C23—62no—
1158C23—62no—
1159C23—62no—
1160C23—62no—
1161C23—62no—
1162C23—62no—
1163C23—62no—
1164C23—62no—
1165C23—62no—
1166C23—62no—
1167C23—62no—
1168C23—62no—
1169C23—62no—
1170C23—62no—
1171C23—62no—
1172C23—62no—
1173C23—62no—
1174C23—62no—
1175C23—62no—
1176C23—62no—
1177C23—62no—
1178C23—62no—
1179C23—62no—
1180C23—62no—
1181C23—62no—
1182C23—62no—
1183C23—62no—
1184C23—62no—
1185C23—62no—
1186C23—62no—
1187C23—62no—
1188C23—62no—
1189C23—62no—
1190C23—62no—
1191C23—121no—
1192C23—121no—
1193C23—121no—
1194C23—121no—
1195C23—121no—
1196C23—121no—
1197C23—121no—
1198C23—121no—
1199C23—121no—
1200C23—121no—
1201C23—121no—
1202C23—121no—
1203C23—121no—
1204C23—121no—
1205C23—121no—
1206C23—121no—
1207C23—121no—
1208C23—121no—
1209C23—121no—
1210C23—121no—
1211C23—121no—
1212C23—121no—
1213C23—121no—
1214C23—121no—
1215C23—121no—
1216C23—121no—
1217C23—121no—
1218C23—121no—
1219C23—121no—
1220C23—121no—
1221C23—121no—
1222C23—121no—
1223C23—121no—
1224C23—121no—
1225C23—121no—
1226C23—121no—
1227C23—121no—
1228C23—121no—
1229C23—121no—
1230C23—121no—
1231C23—121no—
1232C23—121no—
1233C23—121no—
1234C23—121no—
1235C23—121no—
1236C23—121no—
1237C23—121no—
1238C23—121no—
1239C23—121no—
1240C23—121no—
1241C23—121no—
1242C23—121no—
1243C23—121no—
1244C23—121no—
1245C23—121no—
1246C23—121no—
1247C23—121no—
1248C23—121no—
1249C23—121no—
1250C23—121no—
1251C23—121no—
1252C23—121no—
1253C23—121no—
1254C23—121no—
1255C23—121no—
1256C23—121no—
1257C23—121no—
1258C23—121no—
1259C23—121no—
1260C23—121no—
1261C23—121no—
1262C23—121no—
1263C23—121no—
1264C23—121no—
1265C23—121no—
1266C23—121no—
1267C23—121no—
1268C23—121no—
1269C23—121no—
1270C23—121no—
1271C23—121no—
1272C23—121no—
1273C23—121no—
1274C23—121no—
1275C23—121no—
1276C23—121no—
1277C23—121no—
1278C23—121no—
1279C23—121no—
1280C23—121no—
1281C23—121no—
1282C23—121no—
1283C23—121no—
1284C23—121no—
1285C23—121no—
1286C23—121no—
1287C23—121no—
1288C23—121no—
1289C23—121no—
1290C23—121no—
1291C23C22×D1211yescharacteristic
1292C23C22×D1211yescharacteristic
1293C23C22×D1211yescharacteristic
1294C23C2×D3×D411yescharacteristic
1295C23C2×D3×D411yescharacteristic
1296C23C2×D3×D411yescharacteristic
1297C23#100411yescharacteristic
1298C23C2×#23911yescharacteristic
1299C23#100711yescharacteristic
1300C23D3×#4111yescharacteristic
1301C23D3×#4111yescharacteristic
1302C23#100911yescharacteristic
1303C23#100911yescharacteristic
1304C23#100911yescharacteristic
1305C23#100911yescharacteristic
1306D4—1216no—
1307D4—1216no—
1308D4—1216no—
1309D4—1216no—
1310D4—1216no—
1311D4—1216no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—62no—
1359C2×C4—62no—
1360C2×C4—62no—
1361C2×C4—62no—
1362C2×C4—62no—
1363C2×C4—62no—
1364C2×C4—1216no—
1365C2×C4—121no—
1366C2×C4—121no—
1367C2×C4—121no—
1368C2×C4—121no—
1369C2×C4—121no—
1370C2×C4—121no—
1371C2×C4—121no—
1372C2×C4—121no—
1373C2×C4—121no—
1374C2×C4—121no—
1375C2×C4—121no—
1376C2×C4—121no—
1377C2×C4—121no—
1378C2×C4—121no—
1379C2×C4—121no—
1380C2×C4—121no—
1381C2×C4—121no—
1382C2×C4—121no—
1383C2×C4—121no—
1384C2×C4—121no—
1385C2×C4—121no—
1386C2×C4—121no—
1387C2×C4#87414yes—
1388C2×C4#88214yes—
1389C2×C4#89514yescomplemented
1390C2×C3#240711yescharacteristic
1391C2×C3#241011yescharacteristic
1392C2×C3#241611yescharacteristic
1393C2×C3#242411yescharacteristic
1394C2×C3#242411yescharacteristic
1395C2×C3#243311yescharacteristic
1396C2×C3#245611yescharacteristic
1397C2×C3#254011yescharacteristic
1398C2×C3#254111yescharacteristic
1399C2×C3#267511yescharacteristic
1400C2×C3#267611yescharacteristic
1401C2×C3#267611yescharacteristic
1402C2×C3#267811yescharacteristic
1403C2×C3#268211yescharacteristic
1404C2×C3#271411yescharacteristic
1405D3—44no—
1406D3—82no—
1407D3—82no—
1408D3—82no—
1409C22—64no—
1410C22—64no—
1411C22—64no—
1412C22—122no—
1413C22—122no—
1414C22—122no—
1415C22—122no—
1416C22—122no—
1417C22—122no—
1418C22—122no—
1419C22—122no—
1420C22—122no—
1421C22—122no—
1422C22—122no—
1423C22—122no—
1424C22—122no—
1425C22—122no—
1426C22—122no—
1427C22—122no—
1428C22—122no—
1429C22—122no—
1430C22—122no—
1431C22—122no—
1432C22—122no—
1433C22—122no—
1434C22—122no—
1435C22—122no—
1436C22—122no—
1437C22—122no—
1438C22—122no—
1439C22—122no—
1440C22—122no—
1441C22—122no—
1442C22—122no—
1443C22—122no—
1444C22—122no—
1445C22—241no—
1446C22—241no—
1447C22—241no—
1448C22—241no—
1449C22—241no—
1450C22—241no—
1451C22—241no—
1452C22—241no—
1453C22—241no—
1454C22—241no—
1455C22—241no—
1456C22—241no—
1457C22—241no—
1458C22—241no—
1459C22—241no—
1460C22—241no—
1461C22—241no—
1462C22—241no—
1463C22—241no—
1464C22—241no—
1465C22—241no—
1466C22—241no—
1467C22—241no—
1468C22—241no—
1469C22C2×#87411yescharacteristic
1470C22C2×#88211yescharacteristic
1471C22C2×#89511yescharacteristic
1472C22#551011yescharacteristic
1473C22#552411yescharacteristic
1474C22#552511yescharacteristic
1475C22#552511yescharacteristic
1476C22D4×D1211yescharacteristic
1477C22D4×D1211yescharacteristic
1478C22D4×D1211yescharacteristic
1479C22D4×D1211yescharacteristic
1480C22D4×D1211yescharacteristic
1481C22D4×D1211yescharacteristic
1482C22#555411yescharacteristic
1483C22#555411yescharacteristic
1484C22#557611yescharacteristic
1485C22#557611yescharacteristic
1486C22#557711yescharacteristic
1487C22#557711yescharacteristic
1488C22#559011yescharacteristic
1489C22D3×#12111yescharacteristic
1490C22#560511yescharacteristic
1491C22#562711yescharacteristic
1492C22#562911yescharacteristic
1493C22#562911yescharacteristic
1494C22#564411yescharacteristic
1495C22#565411yescharacteristic
1496C22#565411yescharacteristic
1497C22#566611yescharacteristic
1498C22#567611yescharacteristic
1499C22#569511yescharacteristic
1500C22#570011yescharacteristic
1501C22#570411yescharacteristic
1502C22#570411yescharacteristic
1503C22#572611yescharacteristic
1504C4—24no—
1505C4—24no—
1506C4—24no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—122no—
1512C4—122no—
1513C4—241no—
1514C4—241no—
1515C3#1531511yescharacteristic, complemented, Sylow
1516C2—124no—
1517C2—242no—
1518C2—242no—
1519C2—242no—
1520C2#7358711yescharacteristic
1521C2#7379811yescharacteristic
1522C2#7379911yescharacteristic
1523C2#7460511yescharacteristic
1524C2#7463011yescharacteristic
1525C2#7488811yescharacteristic
1526C2#7516011yescharacteristic
1527C2#7532311yescharacteristic
1528C2#7538911yescharacteristic
1529C2#7538911yescharacteristic
1530C2#7584611yescharacteristic
1531C2#7591611yescharacteristic
1532C2#7621111yescharacteristic
1533C2#7626011yescharacteristic
1534C2#7661811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1436C2
hypercenter#1436D3
hypocenterC3#15315
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
1. C22×#895C2semidirect
2. C2×#4994C2semidirect
3. C2×#4939C2semidirect
4. C2×#4939C2semidirect
5. C2×#4671C2semidirect
6. C2×#4671C2semidirect
7. C2×#4671C2semidirect
8. C2×#4665C2semidirect
9. C2×#4668C2semidirect
10. C2×#4672C2semidirect
11. C3×#1436C2semidirect
12. #69427C2semidirect
13. #69427C2semidirect
14. #69426C2semidirect
15. #69426C2semidirect
78. #1436D3semidirect
135. C22×D12D4semidirect
145. C2×C3×C4⋊C4D4semidirect
192. C2×(C2×D3)⋊C4D4semidirect
193. C2×(C2×D3)⋊C4D4semidirect
207. C3×#95D4semidirect
208. C3×#95D4semidirect
542. C2×C4⋊C4D12semidirect
597. #95D12semidirect
598. #95D12semidirect
801. C2×C3×C4#121semidirect
1389. C2×C4#895semidirect
1515. C3#15315semidirect

Maximal subgroups

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

subgroupindex
C22×#8952
C2×#49942
C2×#49392
C2×#46712
C2×#46652
C2×#46682
C2×#46722
C3×#14362
#694272
#694262
#153153