Finite Group Databasebeta

← #10733171

Subgroups — #10733171

Order 768.

3510 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#882C211yesmaximal, characteristic
2C2×C3×#388C211yesmaximal, characteristic, complemented
3C2×#4991C211yesmaximal, characteristic, complemented
4C2×#4959C211yesmaximal, characteristic, complemented
5C2×#4955C211yesmaximal, characteristic, complemented
6C2×#4955C211yesmaximal, characteristic, complemented
7C2×#4939C211yesmaximal, characteristic, complemented
8C2×#4940C211yesmaximal, characteristic, complemented
9#71570C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#71546C211yesmaximal, characteristic, complemented
12#69428C211yesmaximal, characteristic, complemented
13#69427C211yesmaximal, characteristic, complemented
14#69426C211yesmaximal, characteristic, complemented
15#69426C211yesmaximal, characteristic, complemented
16#15281—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×D12C2211yescharacteristic
20C23×D12C2211yescharacteristic
21C22×C3×C4⋊C4C2211yescharacteristic, complemented
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C42C2211yescharacteristic, complemented
26C22×#217C2211yescharacteristic
27C22×#217C2211yescharacteristic
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, complemented
39C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
40C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
41C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
42C22×C4⋊Dic3C2211yescharacteristic, complemented
43C22×Dic3⋊C4C2211yescharacteristic, complemented
44C2×#882—24no—
45C2×#882—24no—
46C2×#882—24no—
47C3×#388—24no—
48C2×C3×#95C2211yescharacteristic, complemented
49C2×C3×#95C2211yescharacteristic, complemented
50C2×C3⋊#95C2211yescharacteristic, complemented
51C2×C3⋊#95C2211yescharacteristic, complemented
52C2×C3⋊#95C2211yescharacteristic, complemented
53C2×C3⋊#95C2211yescharacteristic, complemented
54C2×C3⋊#95C2211yescharacteristic, complemented
55C2×C3⋊#95C2211yescharacteristic, complemented
56#4991—24no—
57#4959—24no—
58#4955—24no—
59#4955—24no—
60#4940—24no—
61#4939—24no—
62C22×#120—31no—
63C2×#394—31no—
64C2×#394—31no—
65C2×#390—31no—
66C2×#388—31no—
67C2×#388D311yescharacteristic, complemented
68C2×#379—31no—
69C2×#379—31no—
70#1439—31no—
71#1439—31no—
72#1439—31no—
73#1439—31no—
74#1438—31no—
75#1438—31no—
76#1438—31no—
77C25×C3C2311yescharacteristic
78C24×D3—22no—
79C24×D3—22no—
80C24×D3—22no—
81C24×D3—22no—
82C24×D3—22no—
83C24×D3—22no—
84C24×D3—22no—
85C24×D3—22no—
86C24×D3—22no—
87C24×D3—41no—
88C24×D3—41no—
89C24×D3—41no—
90C24×D3—41no—
91C24×D3—41no—
92C24×D3—41no—
93C24×D3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C24×D3C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2311yescharacteristic
102C22×#67—22no—
103C22×#67—22no—
104C22×#67—22no—
105C22×#67—22no—
106C22×#67—22no—
107C22×#67—41no—
108C22×#67—41no—
109C23×Dic3C2311yescharacteristic
110C23×Dic3C2311yescharacteristic
111C23×Dic3C2311yescharacteristic
112C23×Dic3C2311yescharacteristic
113C23×Dic3C2311yescharacteristic
114C22×D12—22no—
115C22×D12—22no—
116C22×D12—22no—
117C22×D12—22no—
118C22×D12—22no—
119C22×D12—22no—
120C22×D12—22no—
121C22×D12—22no—
122C22×D12—22no—
123C22×D12—41no—
124C22×D12—41no—
125C22×D12—41no—
126C22×D12—41no—
127C22×D12D414yes—
128C2×C3×C4⋊C4—22no—
129C2×C3×C4⋊C4—22no—
130C2×C3×C4⋊C4—41no—
131C2×C3×C22⋊C4—22no—
132C2×C3×C22⋊C4—22no—
133C2×C3×C22⋊C4—22no—
134C2×C3×C22⋊C4—22no—
135C2×C3×C22⋊C4—22no—
136C2×C3×C22⋊C4—22no—
137C2×C3×C22⋊C4—41no—
138C2×C3×C22⋊C4D414yes—
139C2×C3×C22⋊C4D414yescomplemented
140C2×C3×C42—22no—
141C2×C3×C42—22no—
142C2×C3×C42—22no—
143C2×#217—22no—
144C2×#217—22no—
145C2×#217—22no—
146C2×#217—41no—
147C2×#217—41no—
148C2×#217—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—41no—
176C2×(C2×D3)⋊C4—41no—
177C2×(C2×D3)⋊C4—41no—
178C2×(C2×D3)⋊C4—41no—
179C2×(C2×D3)⋊C4—41no—
180C2×(C2×D3)⋊C4—41no—
181C2×(C2×D3)⋊C4—41no—
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)⋊C4D414yes—
190C2×(C2×D3)⋊C4D414yescomplemented
191C2×C4⋊Dic3—22no—
192C2×C4⋊Dic3—41no—
193C2×C4⋊Dic3—41no—
194C2×Dic3⋊C4—22no—
195C2×Dic3⋊C4—22no—
196C2×Dic3⋊C4—41no—
197#882—232no—
198C3×#95—22no—
199C3×#95—22no—
200C3⋊#95—22no—
201C3⋊#95—22no—
202C3⋊#95—22no—
203C3⋊#95—22no—
204C3⋊#95—41no—
205C3⋊#95—41no—
206C26—31no—
207C23×D4—31no—
208C23×D4—31no—
209C23×D4—31no—
210C2×#120—64no—
211C2×#120—64no—
212C2×#120—64no—
213C22×C4⋊C4—31no—
214C22×C4⋊C4—31no—
215C22×C4⋊C4C2×D311yescharacteristic, complemented
216C22×C22⋊C4—31no—
217C22×C22⋊C4—31no—
218C22×C22⋊C4—31no—
219C22×C22⋊C4—31no—
220C22×C22⋊C4—31no—
221C22×C22⋊C4—31no—
222C22×C22⋊C4—31no—
223C22×C22⋊C4—31no—
224C22×C22⋊C4—31no—
225C22×C22⋊C4—31no—
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⋊C4C2×D311yescharacteristic
233C22×C22⋊C4C2×D311yescharacteristic
234C22×C22⋊C4C2×D311yescharacteristic
235C22×C42C2×D311yescharacteristic, complemented
236#394—64no—
237#394—64no—
238#390—64no—
239#388—24no—
240#388—64no—
241#379—64no—
242#379—64no—
243C2×#95—31no—
244C2×#95—31no—
245C2×#95—31no—
246C2×#95—31no—
247C2×#95—31no—
248C2×#95—31no—
249C2×#95C2×D311yescharacteristic, complemented
250C2×#95C2×D311yescharacteristic, complemented
251C24×C3—21no—
252C24×C3—21no—
253C24×C3—21no—
254C24×C3—21no—
255C24×C3—21no—
256C24×C3—21no—
257C24×C3—21no—
258C24×C3—21no—
259C24×C3—21no—
260C24×C3—21no—
261C24×C3—21no—
262C24×C3—21no—
263C24×C3C2×D412yes—
264C24×C3C2×D412yes—
265C24×C3#4112yes—
266C24×C3C2411yescharacteristic
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—28no—
292C23×D3—28no—
293C23×D3—28no—
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—44no—
309C23×D3—44no—
310C23×D3—44no—
311C23×D3—44no—
312C23×D3—44no—
313C23×D3—44no—
314C23×D3—44no—
315C23×D3—44no—
316C23×D3—44no—
317C23×D3—44no—
318C23×D3—44no—
319C23×D3—44no—
320C23×D3—44no—
321C23×D3—44no—
322C23×D3—44no—
323C23×D3—44no—
324C23×D3—44no—
325C23×D3—44no—
326C23×D3—44no—
327C23×D3—44no—
328C23×D3—44no—
329C23×D3—44no—
330C23×D3—44no—
331C23×D3—44no—
332C23×D3—44no—
333C23×D3—44no—
334C23×D3—44no—
335C23×D3—44no—
336C23×D3—44no—
337C23×D3—44no—
338C23×D3—44no—
339C23×D3—44no—
340C23×D3C2×D412yes—
341C23×D3C2×D412yes—
342C23×D3C2×D412yes—
343C23×D3C2×D412yes—
344C23×D3#4112yes—
345C23×D3#4112yes—
346C23×D3#4112yes—
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—21no—
358C22×C3×C4—21no—
359C22×C3×C4—21no—
360C22×C3×C4—21no—
361C22×C3×C4—21no—
362C22×C3×C4—21no—
363C22×C3×C4—21no—
364C22×C3×C4—21no—
365C22×C3×C4—21no—
366C22×C3×C4—21no—
367C22×C3×C4—21no—
368C22×C3×C4—21no—
369C22×C3×C4—21no—
370C22×C3×C4—21no—
371C22×C3×C4—21no—
372C22×C3×C4—21no—
373C22×C3×C4—21no—
374C22×C3×C4—21no—
375C22×C3×C4—21no—
376C22×C3×C4—21no—
377C22×C3×C4—21no—
378C22×C3×C4—21no—
379C22×C3×C4—21no—
380C22×C3×C4—21no—
381C22×C3×C4—21no—
382C22×C3×C4C2×D412yes—
383C22×C3×C4C2×D412yes—
384C22×C3×C4C2×D412yes—
385C22×C3×C4C2×D412yes—
386C22×C3×C4C2×D412yes—
387C22×C3×C4C2×D412yes—
388C22×C3×C4C2×D412yes—
389C2×#67—28no—
390C2×#67—44no—
391C2×#67—44no—
392C2×#67—44no—
393C2×#67—44no—
394C2×#67—44no—
395C2×#67—44no—
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×Dic3—21no—
421C22×Dic3—21no—
422C22×Dic3—21no—
423C22×Dic3—21no—
424C22×Dic3—21no—
425C22×Dic3—21no—
426C22×Dic3—21no—
427C22×Dic3—21no—
428C22×Dic3—21no—
429C22×Dic3C2×D412yes—
430C22×Dic3C2×D412yes—
431C2×D12—28no—
432C2×D12—28no—
433C2×D12—28no—
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—
445C3×C4⋊C4—44no—
446C3×C22⋊C4—28no—
447C3×C22⋊C4—28no—
448C3×C22⋊C4—44no—
449C3×C42—44no—
450#217—44no—
451#217—44no—
452(C2×D3)⋊C4—28no—
453(C2×D3)⋊C4—28no—
454(C2×D3)⋊C4—28no—
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—
463(C2×D3)⋊C4—44no—
464(C2×D3)⋊C4—44no—
465(C2×D3)⋊C4—44no—
466C4⋊Dic3—44no—
467Dic3⋊C4—44no—
468C25—31no—
469C25—31no—
470C25—31no—
471C25—62no—
472C25—62no—
473C25—62no—
474C25—62no—
475C25—62no—
476C25—62no—
477C25—62no—
478C25—62no—
479C25—62no—
480C25—121no—
481C25—121no—
482C25—121no—
483C25—121no—
484C25—121no—
485C25—121no—
486C25C22×D311yescharacteristic
487C22×D4—34no—
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—121no—
503C22×D4—121no—
504C22×D4—121no—
505C22×D4—121no—
506C22×D4—121no—
507C22×D4—121no—
508C23×C4—31no—
509C23×C4—31no—
510C23×C4—31no—
511C23×C4—31no—
512C23×C4—31no—
513C23×C4C22×D311yescharacteristic
514C23×C4C22×D311yescharacteristic
515C23×C4C22×D311yescharacteristic
516C23×C4C22×D311yescharacteristic
517C23×C4C22×D311yescharacteristic
518C23×C4C22×D311yescharacteristic
519#120—632no—
520C2×C4⋊C4—22no—
521C2×C4⋊C4—22no—
522C2×C4⋊C4—41no—
523C2×C4⋊C4—62no—
524C2×C4⋊C4—62no—
525C2×C4⋊C4—62no—
526C2×C4⋊C4—121no—
527C2×C4⋊C4—121no—
528C2×C4⋊C4—121no—
529C2×C22⋊C4—22no—
530C2×C22⋊C4—22no—
531C2×C22⋊C4—22no—
532C2×C22⋊C4—22no—
533C2×C22⋊C4—22no—
534C2×C22⋊C4—22no—
535C2×C22⋊C4—34no—
536C2×C22⋊C4—34no—
537C2×C22⋊C4—41no—
538C2×C22⋊C4—62no—
539C2×C22⋊C4—62no—
540C2×C22⋊C4—62no—
541C2×C22⋊C4—62no—
542C2×C22⋊C4—62no—
543C2×C22⋊C4—62no—
544C2×C22⋊C4—62no—
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—121no—
568C2×C22⋊C4—121no—
569C2×C22⋊C4—121no—
570C2×C22⋊C4—121no—
571C2×C22⋊C4—121no—
572C2×C22⋊C4—121no—
573C2×C22⋊C4—121no—
574C2×C22⋊C4—121no—
575C2×C22⋊C4—121no—
576C2×C22⋊C4—121no—
577C2×C22⋊C4—121no—
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⋊C4D1214yescomplemented
585C2×C22⋊C4#6714yes—
586C2×C42—22no—
587C2×C42—22no—
588C2×C42—22no—
589#95—22no—
590#95—22no—
591#95—62no—
592#95—62no—
593#95—62no—
594#95—62no—
595#95—121no—
596#95—121no—
597C23×C3—22no—
598C23×C3—22no—
599C23×C3—22no—
600C23×C3—22no—
601C23×C3—22no—
602C23×C3—22no—
603C23×C3—22no—
604C23×C3—22no—
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—41no—
616C23×C3—41no—
617C23×C3—41no—
618C23×C3—41no—
619C23×C3—41no—
620C23×C3—41no—
621C23×C3—41no—
622C23×C3—41no—
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#12114yes—
632C23×C3C22×D411yescharacteristic
633C23×C3C22×D411yescharacteristic
634C23×C3C22×D411yescharacteristic
635C23×C3C22×D411yescharacteristic
636C23×C3C22×D411yescharacteristic
637C23×C3C2×#4111yescharacteristic
638C23×C3C2×#4111yescharacteristic
639C23×C3C2×#4111yescharacteristic
640C23×C3C2×#4111yescharacteristic
641C23×C3H(5,𝔽2)11yescharacteristic
642C23×C3H(5,𝔽2)11yescharacteristic
643C23×C3H(5,𝔽2)11yescharacteristic
644C23×C3H(5,𝔽2)11yescharacteristic
645C23×C3H(5,𝔽2)11yescharacteristic
646C23×C3H(5,𝔽2)11yescharacteristic
647C22×D3—22no—
648C22×D3—22no—
649C22×D3—22no—
650C22×D3—22no—
651C22×D3—22no—
652C22×D3—22no—
653C22×D3—22no—
654C22×D3—22no—
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—22no—
688C22×D3—22no—
689C22×D3—22no—
690C22×D3—416no—
691C22×D3—416no—
692C22×D3—416no—
693C22×D3—416no—
694C22×D3—416no—
695C22×D3—416no—
696C22×D3—416no—
697C22×D3—416no—
698C22×D3—416no—
699C22×D3—416no—
700C22×D3—416no—
701C22×D3—416no—
702C22×D3—416no—
703C22×D3—416no—
704C22×D3—416no—
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—41no—
760C22×D3—41no—
761C22×D3—41no—
762C22×D3—41no—
763C22×D3—41no—
764C22×D3—41no—
765C22×D3#12114yes—
766C22×D3#12314yes—
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—22no—
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—41no—
803C2×C3×C4—41no—
804C2×C3×C4—41no—
805C2×C3×C4—41no—
806C2×C3×C4—41no—
807C2×C3×C4—41no—
808C2×C3×C4#12014yes—
809#67—416no—
810C2×Dic3—22no—
811C2×Dic3—22no—
812C2×Dic3—22no—
813C2×Dic3—22no—
814C2×Dic3—22no—
815C2×Dic3—22no—
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—
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—41no—
841C2×Dic3—41no—
842C2×Dic3—41no—
843C2×Dic3—41no—
844C2×Dic3—41no—
845D12—416no—
846D12—416no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—32no—
860C24—32no—
861C24—32no—
862C24—32no—
863C24—32no—
864C24—32no—
865C24—32no—
866C24—68no—
867C24—68no—
868C24—68no—
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—
902C24—61no—
903C24—61no—
904C24—61no—
905C24—61no—
906C24—61no—
907C24—124no—
908C24—124no—
909C24—124no—
910C24—124no—
911C24—124no—
912C24—124no—
913C24—124no—
914C24—124no—
915C24—124no—
916C24—124no—
917C24—124no—
918C24—124no—
919C24—124no—
920C24—124no—
921C24—124no—
922C24—124no—
923C24—124no—
924C24—124no—
925C24—124no—
926C24—124no—
927C24—124no—
928C24—124no—
929C24—124no—
930C24—124no—
931C24—124no—
932C24—124no—
933C24—124no—
934C24—124no—
935C24—124no—
936C24—124no—
937C24—124no—
938C24—124no—
939C24C2×D1212yes—
940C24#23512yes—
941C24C2×#6712yes—
942C24C23×D311yescharacteristic
943C2×D4—68no—
944C2×D4—68no—
945C2×D4—68no—
946C2×D4—68no—
947C2×D4—124no—
948C2×D4—124no—
949C2×D4—124no—
950C2×D4—124no—
951C2×D4—124no—
952C2×D4—124no—
953C2×D4—124no—
954C2×D4—124no—
955C2×D4—124no—
956C2×D4—124no—
957C2×D4—124no—
958C2×D4—124no—
959C2×D4—124no—
960C2×D4—124no—
961C2×D4—124no—
962C2×D4—124no—
963C2×D4—124no—
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—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—32no—
1000C22×C4—32no—
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—61no—
1027C22×C4—61no—
1028C22×C4—61no—
1029C22×C4—61no—
1030C22×C4—61no—
1031C22×C4—61no—
1032C22×C4—61no—
1033C22×C4—61no—
1034C22×C4C2×D1212yes—
1035C22×C4C2×D1212yes—
1036C22×C4D3×D412yes—
1037C22×C4D3×D412yes—
1038C22×C4D3×D412yes—
1039C22×C4C2×#6712yes—
1040C22×C4C2×#6712yes—
1041C4⋊C4—44no—
1042C4⋊C4—124no—
1043C4⋊C4—124no—
1044C22⋊C4—28no—
1045C22⋊C4—28no—
1046C22⋊C4—44no—
1047C22⋊C4—68no—
1048C22⋊C4—68no—
1049C22⋊C4—68no—
1050C22⋊C4—124no—
1051C22⋊C4—124no—
1052C22⋊C4—124no—
1053C22⋊C4—124no—
1054C22⋊C4—124no—
1055C22⋊C4—124no—
1056C22⋊C4—124no—
1057C22⋊C4—124no—
1058C22⋊C4—124no—
1059C22⋊C4—124no—
1060C22⋊C4—124no—
1061C22⋊C4—124no—
1062C22⋊C4—124no—
1063C42—44no—
1064C22×C3—24no—
1065C22×C3—24no—
1066C22×C3—24no—
1067C22×C3—42no—
1068C22×C3—42no—
1069C22×C3—42no—
1070C22×C3—42no—
1071C22×C3—42no—
1072C22×C3—42no—
1073C22×C3—42no—
1074C22×C3—42no—
1075C22×C3—42no—
1076C22×C3—42no—
1077C22×C3—42no—
1078C22×C3—42no—
1079C22×C3C2×#12011yescharacteristic
1080C22×C3C2×#12111yescharacteristic
1081C22×C3C2×#12111yescharacteristic
1082C22×C3C2×#12311yescharacteristic
1083C22×C3#52511yescharacteristic
1084C22×C3#52511yescharacteristic
1085C22×C3#53411yescharacteristic
1086C22×C3#53511yescharacteristic
1087C22×C3#53511yescharacteristic
1088C22×C3#53511yescharacteristic
1089C22×C3#53511yescharacteristic
1090C22×C3#53811yescharacteristic
1091C22×C3#53811yescharacteristic
1092C22×C3#53811yescharacteristic
1093C22×C3#53811yescharacteristic
1094C22×C3D4211yescharacteristic
1095C22×C3D4211yescharacteristic
1096C22×C3D4211yescharacteristic
1097C22×C3D4211yescharacteristic
1098C22×C3D4211yescharacteristic
1099C22×C3#54611yescharacteristic
1100C22×C3#54611yescharacteristic
1101C22×C3#54611yescharacteristic
1102C22×C3#54611yescharacteristic
1103C22×C3#54611yescharacteristic
1104C22×C3#54611yescharacteristic
1105C22×C3#54611yescharacteristic
1106C22×C3#54611yescharacteristic
1107C22×C3#54611yescharacteristic
1108C22×C3#54611yescharacteristic
1109C22×C3#55111yescharacteristic
1110C22×C3#55111yescharacteristic
1111C22×C3#55111yescharacteristic
1112C22×C3#56011yescharacteristic
1113C22×C3H(3,𝔽4)11yescharacteristic
1114C2×D3—24no—
1115C2×D3—24no—
1116C2×D3—24no—
1117C2×D3—24no—
1118C2×D3—24no—
1119C2×D3—24no—
1120C2×D3—464no—
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—42no—
1136C2×D3—42no—
1137C2×D3—42no—
1138C2×D3—42no—
1139C2×D3—42no—
1140C2×D3—42no—
1141C2×D3—42no—
1142C2×D3—42no—
1143C2×D3—42no—
1144C2×D3—42no—
1145C2×D3—42no—
1146C2×D3—42no—
1147C2×D3—42no—
1148C2×D3—42no—
1149C2×D3—42no—
1150C2×D3—42no—
1151C2×D3—42no—
1152C2×D3—81no—
1153C2×D3—81no—
1154C2×D3—81no—
1155C2×D3—81no—
1156C2×D3—81no—
1157C2×D3—81no—
1158C2×D3—81no—
1159C2×D3—81no—
1160C3×C4—24no—
1161C3×C4—42no—
1162C3×C4—42no—
1163C3×C4—42no—
1164C3×C4—42no—
1165C3×C4—81no—
1166Dic3—42no—
1167Dic3—42no—
1168Dic3—81no—
1169Dic3—81no—
1170Dic3—81no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—34no—
1190C23—34no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
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—62no—
1230C23—62no—
1231C23—62no—
1232C23—62no—
1233C23—62no—
1234C23—62no—
1235C23—62no—
1236C23—62no—
1237C23—62no—
1238C23—62no—
1239C23—62no—
1240C23—62no—
1241C23—62no—
1242C23—62no—
1243C23—62no—
1244C23—62no—
1245C23—62no—
1246C23—62no—
1247C23—62no—
1248C23—62no—
1249C23—62no—
1250C23—1216no—
1251C23—1216no—
1252C23—1216no—
1253C23—1216no—
1254C23—1216no—
1255C23—1216no—
1256C23—1216no—
1257C23—1216no—
1258C23—1216no—
1259C23—1216no—
1260C23—1216no—
1261C23—1216no—
1262C23—1216no—
1263C23—1216no—
1264C23—1216no—
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—121no—
1302C23—121no—
1303C23—121no—
1304C23—121no—
1305C23—121no—
1306C23—121no—
1307C23—121no—
1308C23—121no—
1309C23—121no—
1310C23—121no—
1311C23—121no—
1312C23—121no—
1313C23—121no—
1314C23—121no—
1315C23—121no—
1316C23—121no—
1317C23—121no—
1318C23—121no—
1319C23—121no—
1320C23—121no—
1321C23—121no—
1322C23—121no—
1323C23—121no—
1324C23—121no—
1325C23#93014yes—
1326C23C22×D1211yescharacteristic
1327C23C2×#23511yescharacteristic
1328C23C2×D3×D411yescharacteristic
1329C23C2×D3×D411yescharacteristic
1330C23C2×D3×D411yescharacteristic
1331C23#100411yescharacteristic
1332C23D3×#4111yescharacteristic
1333C23D3×#4111yescharacteristic
1334C23D3×#4111yescharacteristic
1335C23#100911yescharacteristic
1336C23#100911yescharacteristic
1337C23#100911yescharacteristic
1338C23#100911yescharacteristic
1339C23#100911yescharacteristic
1340C23C22×#6711yescharacteristic
1341D4—1216no—
1342D4—1216no—
1343D4—1216no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—62no—
1386C2×C4—62no—
1387C2×C4—62no—
1388C2×C4—62no—
1389C2×C4—62no—
1390C2×C4—62no—
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—121no—
1402C2×C4—121no—
1403C2×C4—121no—
1404C2×C4—121no—
1405C2×C4—121no—
1406C2×C4—121no—
1407C2×C4—121no—
1408C2×C4—121no—
1409C2×C4—121no—
1410C2×C4—121no—
1411C2×C4—121no—
1412C2×C4—121no—
1413C2×C4—121no—
1414C2×C4—121no—
1415C2×C4—121no—
1416C2×C4—121no—
1417C2×C4—121no—
1418C2×C4—121no—
1419C2×C4—121no—
1420C2×C4#93714yes—
1421C2×C3—44no—
1422C2×C3#240511yescharacteristic
1423C2×C3#240811yescharacteristic
1424C2×C3#240811yescharacteristic
1425C2×C3#241111yescharacteristic
1426C2×C3#241111yescharacteristic
1427C2×C3#241811yescharacteristic
1428C2×C3#241811yescharacteristic
1429C2×C3#242411yescharacteristic
1430C2×C3#242411yescharacteristic
1431C2×C3#266911yescharacteristic
1432C2×C3#267011yescharacteristic
1433C2×C3#267011yescharacteristic
1434C2×C3#268411yescharacteristic
1435C2×C3#268511yescharacteristic
1436C2×C3#268511yescharacteristic
1437D3—44no—
1438D3—44no—
1439D3—82no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—64no—
1456C22—64no—
1457C22—64no—
1458C22—64no—
1459C22—64no—
1460C22—64no—
1461C22—1264no—
1462C22—122no—
1463C22—122no—
1464C22—122no—
1465C22—122no—
1466C22—122no—
1467C22—122no—
1468C22—122no—
1469C22—122no—
1470C22—122no—
1471C22—122no—
1472C22—122no—
1473C22—122no—
1474C22—122no—
1475C22—122no—
1476C22—122no—
1477C22—122no—
1478C22—122no—
1479C22—122no—
1480C22—122no—
1481C22—122no—
1482C22—122no—
1483C22—122no—
1484C22—122no—
1485C22—122no—
1486C22—122no—
1487C22—122no—
1488C22—122no—
1489C22—122no—
1490C22—122no—
1491C22—122no—
1492C22—122no—
1493C22—241no—
1494C22—241no—
1495C22—241no—
1496C22—241no—
1497C22—241no—
1498C22—241no—
1499C22—241no—
1500C22—241no—
1501C22#552411yescharacteristic
1502C22#552511yescharacteristic
1503C22#552711yescharacteristic
1504C22#552711yescharacteristic
1505C22#554711yescharacteristic
1506C22D4×D1211yescharacteristic
1507C22D4×D1211yescharacteristic
1508C22D4×D1211yescharacteristic
1509C22#555011yescharacteristic
1510C22#555011yescharacteristic
1511C22#555411yescharacteristic
1512C22#556011yescharacteristic
1513C22D3×#12111yescharacteristic
1514C22#560711yescharacteristic
1515C22#560911yescharacteristic
1516C22#561211yescharacteristic
1517C22D3×#12311yescharacteristic
1518C22#565311yescharacteristic
1519C22#565411yescharacteristic
1520C22#565411yescharacteristic
1521C22#567411yescharacteristic
1522C22#567611yescharacteristic
1523C22#567811yescharacteristic
1524C22#568311yescharacteristic
1525C22#570411yescharacteristic
1526C22#570411yescharacteristic
1527C22#570511yescharacteristic
1528C22#571111yescharacteristic
1529C22C2×#93011yescharacteristic
1530C22C2×#93711yescharacteristic
1531C22D4×#6711yescharacteristic
1532C22#582911yescharacteristic
1533C22#582911yescharacteristic
1534C22#582911yescharacteristic
1535C22#583011yescharacteristic
1536C4—24no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—81no—
1542C4—122no—
1543C4—122no—
1544C4—241no—
1545C4—241no—
1546C4—241no—
1547C3#1528111yescharacteristic, complemented, Sylow
1548C2—44no—
1549C2—124no—
1550C2—124no—
1551C2—242no—
1552C2#7584211yescharacteristic
1553C2#7584411yescharacteristic
1554C2#7584511yescharacteristic
1555C2#7584611yescharacteristic
1556C2#7591211yescharacteristic
1557C2#7591311yescharacteristic
1558C2#7591711yescharacteristic
1559C2#7592011yescharacteristic
1560C2#8227511yescharacteristic
1561C2#8240311yescharacteristic
1562C2#8240711yescharacteristic
1563C2#8264011yescharacteristic
1564C2#8289311yescharacteristic
1565C2#8300311yescharacteristic
1566C2#8311411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#388C2
prime radicalC22×#882C2
hypercenterC2×#388D3
hypocenterC3#15281
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
2. C2×C3×#388C2semidirect
3. C2×#4991C2semidirect
4. C2×#4959C2semidirect
5. C2×#4955C2semidirect
6. C2×#4955C2semidirect
7. C2×#4939C2semidirect
8. C2×#4940C2semidirect
9. #71570C2semidirect
10. #71550C2semidirect
11. #71546C2semidirect
12. #69428C2semidirect
13. #69427C2semidirect
14. #69426C2semidirect
15. #69426C2semidirect
21. C22×C3×C4⋊C4C22semidirect
25. C22×C3×C42C22semidirect
38. C22×(C2×D3)⋊C4C22semidirect
39. C22×(C2×D3)⋊C4C22semidirect
40. C22×(C2×D3)⋊C4C22semidirect
41. C22×(C2×D3)⋊C4C22semidirect
42. C22×C4⋊Dic3C22semidirect
43. C22×Dic3⋊C4C22semidirect
48. C2×C3×#95C22semidirect
49. C2×C3×#95C22semidirect
50. C2×C3⋊#95C22semidirect
51. C2×C3⋊#95C22semidirect
52. C2×C3⋊#95C22semidirect
53. C2×C3⋊#95C22semidirect
54. C2×C3⋊#95C22semidirect
55. C2×C3⋊#95C22semidirect
67. C2×#388D3semidirect
139. C2×C3×C22⋊C4D4semidirect
190. C2×(C2×D3)⋊C4D4semidirect
215. C22×C4⋊C4C2×D3semidirect
235. C22×C42C2×D3semidirect
249. C2×#95C2×D3semidirect
250. C2×#95C2×D3semidirect
584. C2×C22⋊C4D12semidirect
1547. C3#15281semidirect

Maximal subgroups

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

subgroupindex
C22×#8822
C2×C3×#3882
C2×#49912
C2×#49592
C2×#49552
C2×#49392
C2×#49402
#715702
#715502
#715462
#694282
#694272
#694262
#152813