Finite Group Databasebeta

← #10733132

Subgroups — #10733132

Order 768.

3134 conjugacy classes of subgroups.

The subgroup lattice has 1548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#930C211yesmaximal, characteristic, complemented
2C22×#884C211yesmaximal, characteristic, complemented
3C2×#5213C211yesmaximal, characteristic, complemented
4C2×#4959C211yesmaximal, characteristic, complemented
5C2×#4960C211yesmaximal, characteristic, complemented
6C2×#4671C211yesmaximal, characteristic, complemented
7C2×#4665C211yesmaximal, characteristic, complemented
8C2×#4672C211yesmaximal, characteristic, complemented
9C3×C22⋊#95C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#69428C211yesmaximal, characteristic, complemented
12#69427C211yesmaximal, characteristic, complemented
13#69426C211yesmaximal, characteristic, complemented
14(C2×D3)⋊#95C211yesmaximal, characteristic, complemented
15#69420C211yesmaximal, characteristic, complemented
16#15278—31nomaximal, Sylow
17C24×C3×C4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×#67C2211yescharacteristic
21C23×D12C2211yescharacteristic
22C23×D12C2211yescharacteristic
23C23×D12C2211yescharacteristic
24C23×C4×D3C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×#217C2211yescharacteristic
28C2×#930—24no—
29C2×#930—24no—
30C2×#930—24no—
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×(C2×D3)⋊C4C2211yescharacteristic
42C22×C4⋊Dic3C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic
44C22×Dic3⋊C4C2211yescharacteristic
45C2×#884—24no—
46C2×#884—24no—
47C2×#884—24no—
48C2×C3×#95C2211yescharacteristic
49C2×C3×#95C2211yescharacteristic
50C2×C3×#95C2211yescharacteristic
51C2×C3×#95C2211yescharacteristic
52#5213—24no—
53C2×C3⋊#95C2211yescharacteristic
54C2×C3⋊#95C2211yescharacteristic
55C2×C3⋊#95C2211yescharacteristic
56C2×C3⋊#95C2211yescharacteristic
57C2×C3⋊#95C2211yescharacteristic
58C2×C3⋊#95C2211yescharacteristic
59#4960—24no—
60#4959—24no—
61#4672—24no—
62#4671—24no—
63#4665—24no—
64C22×#121—31no—
65C22×#121—31no—
66C2×#394—31no—
67C2×#394—31no—
68C2×#392—31no—
69C2×#392—31no—
70C2×#386—31no—
71C2×#386—31no—
72#1444—31no—
73#1439—31no—
74#1439—31no—
75#1438—31no—
76#1438—31no—
77C22⋊#95—31no—
78C22⋊#95D311yescharacteristic, complemented
79C25×C3C2311yescharacteristic
80C24×D3C2311yescharacteristic
81C24×D3C2311yescharacteristic
82C24×D3C2311yescharacteristic
83C23×C3×C4—22no—
84C23×C3×C4—22no—
85C23×C3×C4—22no—
86C23×C3×C4—22no—
87C23×C3×C4—22no—
88C23×C3×C4—41no—
89C23×C3×C4—41no—
90C23×C3×C4C2311yescharacteristic
91C23×C3×C4C2311yescharacteristic
92C23×C3×C4C2311yescharacteristic
93C23×C3×C4C2311yescharacteristic
94C23×C3×C4C2311yescharacteristic
95C23×C3×C4C2311yescharacteristic
96C22×#67—22no—
97C22×#67—22no—
98C22×#67—22no—
99C22×#67—22no—
100C22×#67—22no—
101C22×#67—22no—
102C22×#67—22no—
103C22×#67—22no—
104C22×#67—22no—
105C22×#67—22no—
106C22×#67—22no—
107C22×#67—22no—
108C22×#67—22no—
109C22×#67—41no—
110C22×#67—41no—
111C22×#67—41no—
112C22×#67—41no—
113C22×#67—41no—
114C22×#67—41no—
115C22×#67D414yescomplemented
116C22×#67D414yescomplemented
117C23×Dic3C2311yescharacteristic
118C23×Dic3C2311yescharacteristic
119C23×Dic3C2311yescharacteristic
120C23×Dic3C2311yescharacteristic
121C23×Dic3C2311yescharacteristic
122C22×D12—22no—
123C22×D12—22no—
124C22×D12—22no—
125C22×D12—22no—
126C22×D12—22no—
127C22×D12—22no—
128C22×D12—22no—
129C22×D12—22no—
130C22×D12—22no—
131C22×D12—22no—
132C22×D12—22no—
133C22×D12—22no—
134C22×D12—41no—
135C22×D12—41no—
136C22×D12—41no—
137C22×D12—41no—
138C22×D12—41no—
139C22×D12—41no—
140C22×D12—41no—
141C22×D12—41no—
142C22×D12D414yescomplemented
143C22×C4×D3—22no—
144C22×C4×D3—22no—
145C22×C4×D3—22no—
146C22×C4×D3—22no—
147C22×C4×D3—22no—
148C22×C4×D3—41no—
149C22×C4×D3—41no—
150C2×C3×C22⋊C4—22no—
151C2×C3×C22⋊C4—22no—
152C2×C3×C22⋊C4—22no—
153C2×C3×C22⋊C4—22no—
154C2×C3×C22⋊C4—41no—
155C2×C3×C22⋊C4D414yescomplemented
156C2×#217—22no—
157C2×#217—22no—
158C2×#217—41no—
159#930—232no—
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—22no—
183C2×(C2×D3)⋊C4—22no—
184C2×(C2×D3)⋊C4—22no—
185C2×(C2×D3)⋊C4—22no—
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×C4⋊Dic3—22no—
194C2×C4⋊Dic3—22no—
195C2×C4⋊Dic3—22no—
196C2×Dic3⋊C4—22no—
197C2×Dic3⋊C4—22no—
198C2×Dic3⋊C4—22no—
199C2×Dic3⋊C4—22no—
200C2×Dic3⋊C4—22no—
201C2×Dic3⋊C4—41no—
202#884—232no—
203C3×#95—22no—
204C3×#95—22no—
205C3×#95—22no—
206C3×#95—41no—
207C3⋊#95—22no—
208C3⋊#95—22no—
209C3⋊#95—22no—
210C3⋊#95—41no—
211C3⋊#95—41no—
212C3⋊#95D414yescomplemented
213C23×D4—31no—
214C23×D4—31no—
215C23×D4—31no—
216C23×D4—31no—
217C23×D4—31no—
218C23×D4—31no—
219C24×C4—31no—
220C24×C4C2×D311yescharacteristic
221C2×#121—64no—
222C2×#121—64no—
223C2×#121—64no—
224C2×#121—64no—
225C2×#121—64no—
226C2×#121—64no—
227C22×C4⋊C4—31no—
228C22×C4⋊C4—31no—
229C22×C4⋊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×C22⋊C4—31no—
242C22×C22⋊C4C2×D311yescharacteristic
243C22×C22⋊C4C2×D311yescharacteristic
244#394—64no—
245#394—64no—
246#392—64no—
247#392—64no—
248#386—64no—
249#386—64no—
250C2×#95—31no—
251C2×#95—31no—
252C2×#95—31no—
253C2×#95—31no—
254C2×#95—31no—
255C2×#95—31no—
256C2×#95C2×D311yescharacteristic
257C2×#95C2×D311yescharacteristic
258C2×#95C2×D311yescharacteristic
259C2×#95C2×D311yescharacteristic
260C24×C3—21no—
261C24×C3—21no—
262C24×C3—21no—
263C24×C3—21no—
264C24×C3—21no—
265C24×C3—21no—
266C24×C3—21no—
267C24×C3—21no—
268C24×C3—21no—
269C24×C3—21no—
270C24×C3—21no—
271C24×C3—21no—
272C24×C3C2×D412yes—
273C24×C3C2×D412yes—
274C24×C3C2×D412yes—
275C24×C3C2411yescharacteristic
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×D3—21no—
315C23×D3—21no—
316C23×D3C2×D412yes—
317C23×D3C2×D412yes—
318C23×D3C2×D412yes—
319C23×D3C2×D412yes—
320C23×D3C2×D412yes—
321C22×C3×C4—21no—
322C22×C3×C4—21no—
323C22×C3×C4—21no—
324C22×C3×C4—21no—
325C22×C3×C4—28no—
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×C4—21no—
357C22×C3×C4—44no—
358C22×C3×C4—44no—
359C22×C3×C4—44no—
360C22×C3×C4—44no—
361C22×C3×C4—44no—
362C22×C3×C4—44no—
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×C3×C4#4112yes—
370C2×#67—28no—
371C2×#67—28no—
372C2×#67—28no—
373C2×#67—28no—
374C2×#67—28no—
375C2×#67—44no—
376C2×#67—44no—
377C2×#67—44no—
378C2×#67—44no—
379C2×#67—44no—
380C2×#67—44no—
381C2×#67—44no—
382C2×#67—44no—
383C2×#67—44no—
384C2×#67—44no—
385C2×#67—44no—
386C2×#67—44no—
387C2×#67—44no—
388C2×#67—44no—
389C2×#67—44no—
390C2×#67—44no—
391C22×Dic3—21no—
392C22×Dic3—21no—
393C22×Dic3—21no—
394C22×Dic3—21no—
395C22×Dic3—21no—
396C22×Dic3—21no—
397C22×Dic3—21no—
398C22×Dic3—21no—
399C22×Dic3—21no—
400C22×Dic3—21no—
401C22×Dic3—21no—
402C22×Dic3—21no—
403C22×Dic3—21no—
404C22×Dic3—21no—
405C22×Dic3—21no—
406C22×Dic3—21no—
407C22×Dic3—21no—
408C22×Dic3—21no—
409C22×Dic3—21no—
410C22×Dic3—21no—
411C22×Dic3—21no—
412C22×Dic3—21no—
413C22×Dic3—21no—
414C22×Dic3—21no—
415C22×Dic3—21no—
416C22×Dic3—21no—
417C22×Dic3—21no—
418C22×Dic3—21no—
419C22×Dic3—21no—
420C22×Dic3C2×D412yes—
421C22×Dic3C2×D412yes—
422C22×Dic3C2×D412yes—
423C22×Dic3C2×D412yes—
424C22×Dic3C2×D412yes—
425C22×Dic3#4112yes—
426C2×D12—28no—
427C2×D12—28no—
428C2×D12—28no—
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×D12—44no—
440C2×D12—44no—
441C2×D12—44no—
442C2×D12—44no—
443C2×D12—44no—
444C2×D12—44no—
445C2×D12—44no—
446C2×D12—44no—
447C2×C4×D3—28no—
448C2×C4×D3—44no—
449C2×C4×D3—44no—
450C2×C4×D3—44no—
451C2×C4×D3—44no—
452C2×C4×D3—44no—
453C2×C4×D3—44no—
454C3×C22⋊C4—28no—
455C3×C22⋊C4—44no—
456#217—44no—
457(C2×D3)⋊C4—28no—
458(C2×D3)⋊C4—28no—
459(C2×D3)⋊C4—28no—
460(C2×D3)⋊C4—44no—
461(C2×D3)⋊C4—44no—
462(C2×D3)⋊C4—44no—
463(C2×D3)⋊C4—44no—
464(C2×D3)⋊C4—44no—
465(C2×D3)⋊C4—44no—
466(C2×D3)⋊C4—44no—
467(C2×D3)⋊C4—44no—
468C4⋊Dic3—28no—
469Dic3⋊C4—28no—
470Dic3⋊C4—44no—
471C25—31no—
472C25—31no—
473C25—31no—
474C25C22×D311yescharacteristic
475C22×D4—34no—
476C22×D4—34no—
477C22×D4—34no—
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—62no—
499C22×D4—62no—
500C22×D4—62no—
501C22×D4—62no—
502C22×D4—62no—
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—
512C22×D4—121no—
513C22×D4—121no—
514C22×D4—121no—
515C22×D4—121no—
516C22×D4—121no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—22no—
522C23×C4—31no—
523C23×C4—31no—
524C23×C4—31no—
525C23×C4—31no—
526C23×C4—31no—
527C23×C4—41no—
528C23×C4—41no—
529C23×C4—62no—
530C23×C4—62no—
531C23×C4—62no—
532C23×C4—62no—
533C23×C4—62no—
534C23×C4—121no—
535C23×C4—121no—
536C23×C4C22×D311yescharacteristic
537C23×C4C22×D311yescharacteristic
538C23×C4C22×D311yescharacteristic
539C23×C4C22×D311yescharacteristic
540C23×C4C22×D311yescharacteristic
541C23×C4C22×D311yescharacteristic
542#121—632no—
543#121—632no—
544C2×C4⋊C4—62no—
545C2×C4⋊C4—62no—
546C2×C4⋊C4—62no—
547C2×C4⋊C4—62no—
548C2×C4⋊C4—62no—
549C2×C4⋊C4—62no—
550C2×C4⋊C4—62no—
551C2×C4⋊C4—62no—
552C2×C4⋊C4—121no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—34no—
558C2×C22⋊C4—41no—
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—62no—
579C2×C22⋊C4—62no—
580C2×C22⋊C4—62no—
581C2×C22⋊C4—62no—
582C2×C22⋊C4—62no—
583C2×C22⋊C4—62no—
584C2×C22⋊C4—62no—
585C2×C22⋊C4—62no—
586C2×C22⋊C4—62no—
587C2×C22⋊C4—121no—
588C2×C22⋊C4—121no—
589C2×C22⋊C4—121no—
590C2×C22⋊C4—121no—
591C2×C22⋊C4—121no—
592C2×C22⋊C4—121no—
593C2×C22⋊C4—121no—
594C2×C22⋊C4D1214yescomplemented
595#95—22no—
596#95—22no—
597#95—22no—
598#95—34no—
599#95—41no—
600#95—62no—
601#95—62no—
602#95—62no—
603#95—121no—
604#95—121no—
605C23×C3—22no—
606C23×C3—22no—
607C23×C3—22no—
608C23×C3—22no—
609C23×C3—22no—
610C23×C3—22no—
611C23×C3—22no—
612C23×C3—22no—
613C23×C3—22no—
614C23×C3—22no—
615C23×C3—22no—
616C23×C3—22no—
617C23×C3—22no—
618C23×C3—22no—
619C23×C3—22no—
620C23×C3—22no—
621C23×C3—22no—
622C23×C3—22no—
623C23×C3—41no—
624C23×C3—41no—
625C23×C3—41no—
626C23×C3—41no—
627C23×C3—41no—
628C23×C3—41no—
629C23×C3—41no—
630C23×C3—41no—
631C23×C3—41no—
632C23×C3—41no—
633C23×C3—41no—
634C23×C3—41no—
635C23×C3—41no—
636C23×C3—41no—
637C23×C3—41no—
638C23×C3—41no—
639C23×C3#12014yes—
640C23×C3C22×D411yescharacteristic
641C23×C3C22×D411yescharacteristic
642C23×C3C22×D411yescharacteristic
643C23×C3C22×D411yescharacteristic
644C23×C3C22×D411yescharacteristic
645C23×C3C22×D411yescharacteristic
646C23×C3C2×#4111yescharacteristic
647C23×C3C2×#4111yescharacteristic
648C23×C3C2×#4111yescharacteristic
649C23×C3H(5,𝔽2)11yescharacteristic
650C23×C3H(5,𝔽2)11yescharacteristic
651C23×C3H(5,𝔽2)11yescharacteristic
652C23×C3H(5,𝔽2)11yescharacteristic
653C23×C3H(5,𝔽2)11yescharacteristic
654C23×C32−1+411yescharacteristic
655C22×D3—22no—
656C22×D3—22no—
657C22×D3—22no—
658C22×D3—22no—
659C22×D3—22no—
660C22×D3—22no—
661C22×D3—22no—
662C22×D3—22no—
663C22×D3—22no—
664C22×D3—22no—
665C22×D3—22no—
666C22×D3—22no—
667C22×D3—22no—
668C22×D3—22no—
669C22×D3—22no—
670C22×D3—22no—
671C22×D3—22no—
672C22×D3—22no—
673C22×D3—22no—
674C22×D3—22no—
675C22×D3—22no—
676C22×D3—22no—
677C22×D3—22no—
678C22×D3—22no—
679C22×D3—22no—
680C22×D3—22no—
681C22×D3—22no—
682C22×D3—22no—
683C22×D3—22no—
684C22×D3—22no—
685C22×D3—22no—
686C22×D3—22no—
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—41no—
754C22×D3—41no—
755C22×D3—41no—
756C22×D3—41no—
757C22×D3—41no—
758C22×D3—41no—
759C22×D3#12014yes—
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—416no—
779C2×C3×C4—41no—
780C2×C3×C4—41no—
781C2×C3×C4—41no—
782C2×C3×C4—41no—
783C2×C3×C4—41no—
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—41no—
801C2×C3×C4—41no—
802C2×C3×C4#12114yescomplemented
803#67—416no—
804#67—416no—
805#67—416no—
806C2×Dic3—22no—
807C2×Dic3—22no—
808C2×Dic3—22no—
809C2×Dic3—22no—
810C2×Dic3—22no—
811C2×Dic3—22no—
812C2×Dic3—22no—
813C2×Dic3—22no—
814C2×Dic3—22no—
815C2×Dic3—22no—
816C2×Dic3—22no—
817C2×Dic3—22no—
818C2×Dic3—22no—
819C2×Dic3—22no—
820C2×Dic3—22no—
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—
831C2×Dic3—41no—
832C2×Dic3—41no—
833C2×Dic3—41no—
834C2×Dic3—41no—
835C2×Dic3—41no—
836C2×Dic3—41no—
837C2×Dic3—41no—
838C2×Dic3—41no—
839C2×Dic3—41no—
840C2×Dic3#12114yescomplemented
841D12—416no—
842D12—416no—
843D12—416no—
844C4×D3—416no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—32no—
858C24—32no—
859C24—32no—
860C24—32no—
861C24—32no—
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—
898C24—61no—
899C24—61no—
900C24—61no—
901C24—61no—
902C24C2×D1212yes—
903C24D3×D412yes—
904C24D3×D412yes—
905C24C23×D311yescharacteristic
906C2×D4—68no—
907C2×D4—68no—
908C2×D4—68no—
909C2×D4—68no—
910C2×D4—68no—
911C2×D4—68no—
912C2×D4—68no—
913C2×D4—68no—
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—
941C2×D4—124no—
942C2×D4—124no—
943C2×D4—124no—
944C2×D4—124no—
945C2×D4—124no—
946C2×D4—124no—
947C2×D4—124no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—28no—
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—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—32no—
985C22×C4—32no—
986C22×C4—32no—
987C22×C4—32no—
988C22×C4—32no—
989C22×C4—32no—
990C22×C4—44no—
991C22×C4—44no—
992C22×C4—44no—
993C22×C4—44no—
994C22×C4—44no—
995C22×C4—44no—
996C22×C4—68no—
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—61no—
1007C22×C4—61no—
1008C22×C4—61no—
1009C22×C4—61no—
1010C22×C4—61no—
1011C22×C4—61no—
1012C22×C4—61no—
1013C22×C4—61no—
1014C22×C4—61no—
1015C22×C4—61no—
1016C22×C4—61no—
1017C22×C4—61no—
1018C22×C4—61no—
1019C22×C4—61no—
1020C22×C4—61no—
1021C22×C4—61no—
1022C22×C4—61no—
1023C22×C4—61no—
1024C22×C4—61no—
1025C22×C4—61no—
1026C22×C4—124no—
1027C22×C4—124no—
1028C22×C4—124no—
1029C22×C4—124no—
1030C22×C4—124no—
1031C22×C4—124no—
1032C22×C4C2×D1212yes—
1033C22×C4C2×D1212yes—
1034C22×C4#23512yes—
1035C22×C4#23512yes—
1036C22×C4D3×D412yes—
1037C22×C4D3×D412yes—
1038C22×C4D3×D412yes—
1039C4⋊C4—68no—
1040C4⋊C4—68no—
1041C4⋊C4—124no—
1042C22⋊C4—28no—
1043C22⋊C4—44no—
1044C22⋊C4—68no—
1045C22⋊C4—68no—
1046C22⋊C4—68no—
1047C22⋊C4—124no—
1048C22⋊C4—124no—
1049C22⋊C4—124no—
1050C22⋊C4—124no—
1051C22⋊C4—124no—
1052C22⋊C4—124no—
1053C22⋊C4—124no—
1054C22⋊C4—124no—
1055C22⋊C4—124no—
1056C22×C3—24no—
1057C22×C3—24no—
1058C22×C3—24no—
1059C22×C3—42no—
1060C22×C3—42no—
1061C22×C3—42no—
1062C22×C3—42no—
1063C22×C3—42no—
1064C22×C3—42no—
1065C22×C3—42no—
1066C22×C3—42no—
1067C22×C3—42no—
1068C22×C3—42no—
1069C22×C3—42no—
1070C22×C3—42no—
1071C22×C3C2×#12011yescharacteristic
1072C22×C3C2×#12011yescharacteristic
1073C22×C3C2×#12111yescharacteristic
1074C22×C3C2×#12111yescharacteristic
1075C22×C3#53211yescharacteristic
1076C22×C3#53211yescharacteristic
1077C22×C3#53411yescharacteristic
1078C22×C3#53411yescharacteristic
1079C22×C3#53411yescharacteristic
1080C22×C3#53711yescharacteristic
1081C22×C3#53711yescharacteristic
1082C22×C3#53711yescharacteristic
1083C22×C3#53811yescharacteristic
1084C22×C3#54011yescharacteristic
1085C22×C3#54011yescharacteristic
1086C22×C3D4211yescharacteristic
1087C22×C3D4211yescharacteristic
1088C22×C3D4211yescharacteristic
1089C22×C3D4211yescharacteristic
1090C22×C3D4211yescharacteristic
1091C22×C3D4211yescharacteristic
1092C22×C3D4211yescharacteristic
1093C22×C3#54611yescharacteristic
1094C22×C3#54611yescharacteristic
1095C22×C3#54611yescharacteristic
1096C22×C3#54611yescharacteristic
1097C22×C3#54611yescharacteristic
1098C22×C3#54611yescharacteristic
1099C22×C3#54711yescharacteristic
1100C22×C3#54711yescharacteristic
1101C22×C3#54711yescharacteristic
1102C22×C3#55011yescharacteristic
1103C22×C3#55511yescharacteristic
1104C22×C3#56011yescharacteristic
1105C22×C3#56211yescharacteristic
1106C2×D3—24no—
1107C2×D3—24no—
1108C2×D3—24no—
1109C2×D3—42no—
1110C2×D3—42no—
1111C2×D3—42no—
1112C2×D3—42no—
1113C2×D3—42no—
1114C2×D3—42no—
1115C2×D3—42no—
1116C2×D3—42no—
1117C2×D3—42no—
1118C2×D3—42no—
1119C2×D3—42no—
1120C2×D3—42no—
1121C2×D3—42no—
1122C2×D3—42no—
1123C2×D3—42no—
1124C2×D3—42no—
1125C2×D3—42no—
1126C2×D3—42no—
1127C2×D3—42no—
1128C2×D3—42no—
1129C2×D3—42no—
1130C2×D3—42no—
1131C2×D3—42no—
1132C2×D3—42no—
1133C2×D3—42no—
1134C2×D3—42no—
1135C2×D3—81no—
1136C2×D3—81no—
1137C2×D3—81no—
1138C2×D3—81no—
1139C2×D3—81no—
1140C2×D3—81no—
1141C2×D3—81no—
1142C2×D3—81no—
1143C2×D3—81no—
1144C2×D3—81no—
1145C2×D3—81no—
1146C2×D3—81no—
1147C2×D3—81no—
1148C2×D3—81no—
1149C2×D3—81no—
1150C2×D3—81no—
1151C3×C4—24no—
1152C3×C4—42no—
1153C3×C4—42no—
1154C3×C4—42no—
1155C3×C4—42no—
1156C3×C4—81no—
1157Dic3—24no—
1158Dic3—42no—
1159Dic3—42no—
1160Dic3—42no—
1161Dic3—81no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—34no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—62no—
1198C23—62no—
1199C23—62no—
1200C23—62no—
1201C23—62no—
1202C23—62no—
1203C23—62no—
1204C23—62no—
1205C23—62no—
1206C23—62no—
1207C23—62no—
1208C23—62no—
1209C23—62no—
1210C23—62no—
1211C23—62no—
1212C23—62no—
1213C23—62no—
1214C23—62no—
1215C23—62no—
1216C23—62no—
1217C23—62no—
1218C23—62no—
1219C23—62no—
1220C23—62no—
1221C23—62no—
1222C23—62no—
1223C23—62no—
1224C23—62no—
1225C23—62no—
1226C23—62no—
1227C23—62no—
1228C23—62no—
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—
1291C23—121no—
1292C23—121no—
1293C23—121no—
1294C23—121no—
1295C23—121no—
1296C23—121no—
1297C23—121no—
1298C23—121no—
1299C23—121no—
1300C23—121no—
1301C23#88214yes—
1302C23C22×D1211yescharacteristic
1303C23C2×#23511yescharacteristic
1304C23C2×#23511yescharacteristic
1305C23C2×D3×D411yescharacteristic
1306C23C2×D3×D411yescharacteristic
1307C23C2×D3×D411yescharacteristic
1308C23C2×D3×D411yescharacteristic
1309C23C2×D3×D411yescharacteristic
1310C23#100411yescharacteristic
1311C23#100411yescharacteristic
1312C23#100711yescharacteristic
1313C23D3×#4111yescharacteristic
1314C23#100911yescharacteristic
1315C23#100911yescharacteristic
1316C23#100911yescharacteristic
1317D4—1216no—
1318D4—1216no—
1319D4—1216no—
1320D4—1216no—
1321D4—1216no—
1322D4—1216no—
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—34no—
1342C2×C4—416no—
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—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—62no—
1367C2×C4—62no—
1368C2×C4—62no—
1369C2×C4—62no—
1370C2×C4—62no—
1371C2×C4—62no—
1372C2×C4—62no—
1373C2×C4—62no—
1374C2×C4—62no—
1375C2×C4—62no—
1376C2×C4—62no—
1377C2×C4—62no—
1378C2×C4—62no—
1379C2×C4—62no—
1380C2×C4—62no—
1381C2×C4—1216no—
1382C2×C4—121no—
1383C2×C4—121no—
1384C2×C4—121no—
1385C2×C4—121no—
1386C2×C4—121no—
1387C2×C4—121no—
1388C2×C4—121no—
1389C2×C4—121no—
1390C2×C4—121no—
1391C2×C4—121no—
1392C2×C4—121no—
1393C2×C4—121no—
1394C2×C4—121no—
1395C2×C4—121no—
1396C2×C4—121no—
1397C2×C4—121no—
1398C2×C4—121no—
1399C2×C4—121no—
1400C2×C4—121no—
1401C2×C4#88414yescomplemented
1402C2×C3—44no—
1403C2×C3#240311yescharacteristic
1404C2×C3#241011yescharacteristic
1405C2×C3#241011yescharacteristic
1406C2×C3#242811yescharacteristic
1407C2×C3#242811yescharacteristic
1408C2×C3#243011yescharacteristic
1409C2×C3#243011yescharacteristic
1410C2×C3#253711yescharacteristic
1411C2×C3#255511yescharacteristic
1412C2×C3#266811yescharacteristic
1413C2×C3#267111yescharacteristic
1414C2×C3#267111yescharacteristic
1415C2×C3#267511yescharacteristic
1416C2×C3#268211yescharacteristic
1417C2×C3#269911yescharacteristic
1418D3—44no—
1419D3—82no—
1420D3—82no—
1421C22—24no—
1422C22—24no—
1423C22—24no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—64no—
1437C22—64no—
1438C22—64no—
1439C22—122no—
1440C22—122no—
1441C22—122no—
1442C22—122no—
1443C22—122no—
1444C22—122no—
1445C22—122no—
1446C22—122no—
1447C22—122no—
1448C22—122no—
1449C22—122no—
1450C22—122no—
1451C22—122no—
1452C22—122no—
1453C22—122no—
1454C22—122no—
1455C22—122no—
1456C22—122no—
1457C22—122no—
1458C22—122no—
1459C22—122no—
1460C22—122no—
1461C22—122no—
1462C22—122no—
1463C22—122no—
1464C22—122no—
1465C22—241no—
1466C22—241no—
1467C22—241no—
1468C22—241no—
1469C22—241no—
1470C22—241no—
1471C22—241no—
1472C22—241no—
1473C22—241no—
1474C22—241no—
1475C22—241no—
1476C22—241no—
1477C22—241no—
1478C22—241no—
1479C22—241no—
1480C22—241no—
1481C22#547711yescharacteristic
1482C22C2×#88211yescharacteristic
1483C22C2×#88411yescharacteristic
1484C22#549011yescharacteristic
1485C22#549011yescharacteristic
1486C22#549011yescharacteristic
1487C22#550711yescharacteristic
1488C22#550711yescharacteristic
1489C22#551011yescharacteristic
1490C22#553211yescharacteristic
1491C22#553511yescharacteristic
1492C22#554811yescharacteristic
1493C22D4×D1211yescharacteristic
1494C22D4×D1211yescharacteristic
1495C22D4×D1211yescharacteristic
1496C22#555011yescharacteristic
1497C22#555311yescharacteristic
1498C22#555411yescharacteristic
1499C22#556011yescharacteristic
1500C22D3×#12011yescharacteristic
1501C22#558911yescharacteristic
1502C22#559011yescharacteristic
1503C22#559011yescharacteristic
1504C22D3×#12111yescharacteristic
1505C22#560511yescharacteristic
1506C22#560911yescharacteristic
1507C22#560911yescharacteristic
1508C22#562911yescharacteristic
1509C22#562911yescharacteristic
1510C22#563111yescharacteristic
1511C22#564711yescharacteristic
1512C22#565311yescharacteristic
1513C22#565411yescharacteristic
1514C22#566311yescharacteristic
1515C22#566611yescharacteristic
1516C4—24no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—64no—
1522C4—81no—
1523C4—122no—
1524C4—122no—
1525C4—122no—
1526C4—241no—
1527C3#1527811yescharacteristic, complemented, Sylow
1528C2—44no—
1529C2—124no—
1530C2—242no—
1531C2—242no—
1532C2#7337611yescharacteristic
1533C2#7348711yescharacteristic
1534C2#7360011yescharacteristic
1535C2#7385411yescharacteristic
1536C2#7393511yescharacteristic
1537C2#7403511yescharacteristic
1538C2#7409711yescharacteristic
1539C2#7451111yescharacteristic
1540C2#7460611yescharacteristic
1541C2#7462811yescharacteristic
1542C2#7463011yescharacteristic
1543C2#7469811yescharacteristic
1544C2#7488411yescharacteristic
1545C2#7488811yescharacteristic
1546C2#7491111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×C22⋊#95C2
hypercenterC22⋊#95D3
hypocenterC3#15278
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
1. C22×#930C2semidirect
2. C22×#884C2semidirect
3. C2×#5213C2semidirect
4. C2×#4959C2semidirect
5. C2×#4960C2semidirect
6. C2×#4671C2semidirect
7. C2×#4665C2semidirect
8. C2×#4672C2semidirect
9. C3×C22⋊#95C2semidirect
10. #71550C2semidirect
11. #69428C2semidirect
12. #69427C2semidirect
13. #69426C2semidirect
14. (C2×D3)⋊#95C2semidirect
15. #69420C2semidirect
78. C22⋊#95D3semidirect
115. C22×#67D4semidirect
116. C22×#67D4semidirect
142. C22×D12D4semidirect
155. C2×C3×C22⋊C4D4semidirect
192. C2×(C2×D3)⋊C4D4semidirect
212. C3⋊#95D4semidirect
594. C2×C22⋊C4D12semidirect
802. C2×C3×C4#121semidirect
840. C2×Dic3#121semidirect
1401. C2×C4#884semidirect
1527. C3#15278semidirect

Maximal subgroups

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

subgroupindex
C22×#9302
C22×#8842
C2×#52132
C2×#49592
C2×#49602
C2×#46712
C2×#46652
C2×#46722
C3×C22⋊#952
#715502
#694282
#694272
#694262
(C2×D3)⋊#952
#694202
#152783