Finite Group Databasebeta

← #10733127

Subgroups — #10733127

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×#938C211yesmaximal, characteristic, complemented
2C22×#930C211yesmaximal, characteristic, complemented
3C2×C3×#386C211yesmaximal, characteristic, complemented
4C2×#5223C211yesmaximal, characteristic, complemented
5C2×#4960C211yesmaximal, characteristic, complemented
6C2×#4961C211yesmaximal, characteristic, complemented
7C2×#4961C211yesmaximal, characteristic, complemented
8C2×#4665C211yesmaximal, characteristic, complemented
9#72127C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#71550C211yesmaximal, characteristic, complemented
12#71546C211yesmaximal, characteristic, complemented
13#69427C211yesmaximal, characteristic, complemented
14(C2×D3)⋊#95C211yesmaximal, characteristic, complemented
15#69419C211yesmaximal, characteristic, complemented
16#15278—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C24×C3×C4C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×#67C2211yescharacteristic
21C23×#67C2211yescharacteristic
22C23×#67C2211yescharacteristic
23C23×D12C2211yescharacteristic
24C23×C4×D3C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×C3×C22⋊C4C2211yescharacteristic
28C22×#217C2211yescharacteristic
29C22×#217C2211yescharacteristic
30C22×#217C2211yescharacteristic
31C22×#217C2211yescharacteristic
32C2×#938—24no—
33C2×#938—24no—
34C2×#938—24no—
35C2×#930—24no—
36C2×#930—24no—
37C2×#930—24no—
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×C4⋊Dic3C2211yescharacteristic
46C22×C4⋊Dic3C2211yescharacteristic
47C22×C4⋊Dic3C2211yescharacteristic
48C3×#386—24no—
49C2×C3×#95C2211yescharacteristic
50C2×C3×#95C2211yescharacteristic
51#5223—24no—
52C2×C3⋊#95C2211yescharacteristic
53C2×C3⋊#95C2211yescharacteristic
54C2×C3⋊#95C2211yescharacteristic
55C2×C3⋊#95C2211yescharacteristic
56C2×C3⋊#95C2211yescharacteristic
57C2×C3⋊#95C2211yescharacteristic
58C2×C3⋊#95C2211yescharacteristic
59C2×C3⋊#95C2211yescharacteristic
60#4961—24no—
61#4961—24no—
62#4960—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×#386D311yescharacteristic, complemented
72#1444—31no—
73#1439—31no—
74#1439—31no—
75#1438—31no—
76#1438—31no—
77C22⋊#95—31no—
78C22⋊#95—31no—
79C25×C3C2311yescharacteristic
80C25×C3C2311yescharacteristic
81C24×D3C2311yescharacteristic
82C24×D3C2311yescharacteristic
83C22×C3×D4—22no—
84C22×C3×D4—22no—
85C22×C3×D4—22no—
86C22×C3×D4—22no—
87C22×C3×D4—41no—
88C22×C3×D4—41no—
89C22×C3×D4D414yescomplemented
90C23×C3×C4—22no—
91C23×C3×C4—22no—
92C23×C3×C4—22no—
93C23×C3×C4—22no—
94C23×C3×C4—22no—
95C23×C3×C4—41no—
96C23×C3×C4—41no—
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—22no—
108C22×#67—22no—
109C22×#67—22no—
110C22×#67—22no—
111C22×#67—22no—
112C22×#67—22no—
113C22×#67—22no—
114C22×#67—22no—
115C22×#67—22no—
116C22×#67—22no—
117C22×#67—22no—
118C22×#67—22no—
119C22×#67—41no—
120C22×#67—41no—
121C22×#67—41no—
122C22×#67—41no—
123C22×#67—41no—
124C22×#67—41no—
125C22×#67—41no—
126C22×#67—41no—
127C22×#67—41no—
128C22×#67—41no—
129C22×#67D414yescomplemented
130C23×Dic3C2311yescharacteristic
131C23×Dic3C2311yescharacteristic
132C23×Dic3C2311yescharacteristic
133C23×Dic3C2311yescharacteristic
134C23×Dic3C2311yescharacteristic
135C23×Dic3C2311yescharacteristic
136C22×D12—22no—
137C22×D12—22no—
138C22×D12—22no—
139C22×D12—22no—
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—22no—
155C2×C3×C22⋊C4—22no—
156C2×C3×C22⋊C4—22no—
157C2×C3×C22⋊C4—41no—
158C2×C3×C22⋊C4—41no—
159C2×#217—22no—
160C2×#217—22no—
161C2×#217—22no—
162C2×#217—22no—
163C2×#217—22no—
164C2×#217—22no—
165C2×#217—22no—
166C2×#217—22no—
167C2×#217—22no—
168C2×#217—41no—
169C2×#217—41no—
170C2×#217D414yescomplemented
171#938—232no—
172#930—232no—
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—22no—
187C2×(C2×D3)⋊C4—22no—
188C2×(C2×D3)⋊C4—22no—
189C2×(C2×D3)⋊C4—41no—
190C2×(C2×D3)⋊C4—41no—
191C2×(C2×D3)⋊C4—41no—
192C2×(C2×D3)⋊C4—41no—
193C2×(C2×D3)⋊C4D414yescomplemented
194C2×C4⋊Dic3—22no—
195C2×C4⋊Dic3—22no—
196C2×C4⋊Dic3—22no—
197C2×C4⋊Dic3—22no—
198C2×C4⋊Dic3—22no—
199C2×C4⋊Dic3—22no—
200C2×C4⋊Dic3—22no—
201C2×C4⋊Dic3—22no—
202C2×C4⋊Dic3—41no—
203C3×#95—22no—
204C3×#95D414yescomplemented
205C3⋊#95—22no—
206C3⋊#95—22no—
207C3⋊#95—22no—
208C3⋊#95—22no—
209C3⋊#95—22no—
210C3⋊#95—41no—
211C3⋊#95—41no—
212C3⋊#95—41no—
213C23×D4—31no—
214C23×D4—31no—
215C23×D4—31no—
216C23×D4—31no—
217C23×D4—31no—
218C23×D4C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic
242C22×C22⋊C4C2×D311yescharacteristic
243C22×C22⋊C4C2×D311yescharacteristic
244#394—64no—
245#394—64no—
246#392—64no—
247#392—64no—
248#386—24no—
249#386—64no—
250C2×#95—31no—
251C2×#95—31no—
252C2×#95—31no—
253C2×#95—31no—
254C2×#95—31no—
255C2×#95—31no—
256C2×#95—31no—
257C2×#95—31no—
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×C3—21no—
273C24×C3—21no—
274C24×C3—21no—
275C24×C3—21no—
276C24×C3—21no—
277C24×C3—21no—
278C24×C3—21no—
279C24×C3—21no—
280C24×C3—21no—
281C24×C3—21no—
282C24×C3—21no—
283C24×C3—21no—
284C24×C3—21no—
285C24×C3—21no—
286C24×C3C2×D412yes—
287C24×C3C2×D412yes—
288C24×C3C2×D412yes—
289C24×C3C2×D412yes—
290C24×C3C2411yescharacteristic
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×D3—21no—
317C23×D3C2×D412yes—
318C23×D3C2×D412yes—
319C23×D3C2×D412yes—
320C23×D3C2×D412yes—
321C2×C3×D4—28no—
322C2×C3×D4—28no—
323C2×C3×D4—44no—
324C2×C3×D4—44no—
325C2×C3×D4—44no—
326C2×C3×D4—44no—
327C2×C3×D4—44no—
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—28no—
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—44no—
357C22×C3×C4—44no—
358C22×C3×C4—44no—
359C22×C3×C4—44no—
360C22×C3×C4—44no—
361C22×C3×C4—44no—
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×C3×C4#4112yes—
370C2×#67—28no—
371C2×#67—28no—
372C2×#67—28no—
373C2×#67—28no—
374C2×#67—44no—
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—
391C2×#67—44no—
392C2×#67—44no—
393C2×#67—44no—
394C2×#67—44no—
395C2×#67—44no—
396C2×#67—44no—
397C2×#67—44no—
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×Dic3—21no—
430C22×Dic3—21no—
431C22×Dic3—21no—
432C22×Dic3—21no—
433C22×Dic3—21no—
434C22×Dic3—21no—
435C22×Dic3C2×D412yes—
436C22×Dic3C2×D412yes—
437C22×Dic3C2×D412yes—
438C22×Dic3C2×D412yes—
439C22×Dic3#4112yes—
440C2×D12—28no—
441C2×D12—28no—
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—44no—
455C3×C22⋊C4—44no—
456C3×C22⋊C4—44no—
457#217—28no—
458#217—28no—
459#217—44no—
460#217—44no—
461(C2×D3)⋊C4—28no—
462(C2×D3)⋊C4—28no—
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—
469C4⋊Dic3—28no—
470C4⋊Dic3—44no—
471C25—31no—
472C25—31no—
473C25C22×D311yescharacteristic
474C25C22×D311yescharacteristic
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—34no—
480C22×D4—34no—
481C22×D4—41no—
482C22×D4—41no—
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—62no—
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×D4D1214yescomplemented
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—31no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—62no—
531C23×C4—62no—
532C23×C4—62no—
533C23×C4—62no—
534C23×C4—62no—
535C23×C4—121no—
536C23×C4—121no—
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—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—34no—
561C2×C22⋊C4—34no—
562C2×C22⋊C4—41no—
563C2×C22⋊C4—41no—
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—62no—
588C2×C22⋊C4—62no—
589C2×C22⋊C4—121no—
590C2×C22⋊C4—121no—
591C2×C22⋊C4—121no—
592C2×C22⋊C4—121no—
593C2×C22⋊C4—121no—
594C2×C22⋊C4—121no—
595#95—22no—
596#95—62no—
597#95—62no—
598#95—62no—
599#95—62no—
600#95—62no—
601#95—121no—
602#95—121no—
603#95—121no—
604#95#6714yescomplemented
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—22no—
624C23×C3—22no—
625C23×C3—22no—
626C23×C3—22no—
627C23×C3—22no—
628C23×C3—22no—
629C23×C3—22no—
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—41no—
640C23×C3—41no—
641C23×C3—41no—
642C23×C3—41no—
643C23×C3—41no—
644C23×C3—41no—
645C23×C3—41no—
646C23×C3—41no—
647C23×C3—41no—
648C23×C3—41no—
649C23×C3—41no—
650C23×C3—41no—
651C23×C3—41no—
652C23×C3—41no—
653C23×C3—41no—
654C23×C3—41no—
655C23×C3—41no—
656C23×C3—41no—
657C23×C3—41no—
658C23×C3—41no—
659C23×C3—41no—
660C23×C3—41no—
661C23×C3—41no—
662C23×C3—41no—
663C23×C3—41no—
664C23×C3—41no—
665C23×C3—41no—
666C23×C3—41no—
667C23×C3—41no—
668C23×C3—41no—
669C23×C3—41no—
670C23×C3—41no—
671C23×C3—41no—
672C23×C3—41no—
673C23×C3—41no—
674C23×C3#12014yes—
675C23×C3C22×D411yescharacteristic
676C23×C3C22×D411yescharacteristic
677C23×C3C22×D411yescharacteristic
678C23×C3C22×D411yescharacteristic
679C23×C3C22×D411yescharacteristic
680C23×C3C22×D411yescharacteristic
681C23×C3C2×#4111yescharacteristic
682C23×C3C2×#4111yescharacteristic
683C23×C3C2×#4111yescharacteristic
684C23×C3H(5,𝔽2)11yescharacteristic
685C23×C3H(5,𝔽2)11yescharacteristic
686C23×C3H(5,𝔽2)11yescharacteristic
687C23×C3H(5,𝔽2)11yescharacteristic
688C23×C3H(5,𝔽2)11yescharacteristic
689C23×C32−1+411yescharacteristic
690C22×D3—22no—
691C22×D3—22no—
692C22×D3—22no—
693C22×D3—22no—
694C22×D3—22no—
695C22×D3—22no—
696C22×D3—22no—
697C22×D3—22no—
698C22×D3—22no—
699C22×D3—22no—
700C22×D3—22no—
701C22×D3—22no—
702C22×D3—22no—
703C22×D3—22no—
704C22×D3—22no—
705C22×D3—22no—
706C22×D3—22no—
707C22×D3—22no—
708C22×D3—22no—
709C22×D3—22no—
710C22×D3—22no—
711C22×D3—22no—
712C22×D3—22no—
713C22×D3—22no—
714C22×D3—22no—
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—
760C3×D4—416no—
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—416no—
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#12114yescomplemented
796C2×C3×C4#12114yescomplemented
797#67—416no—
798#67—416no—
799#67—416no—
800#67—416no—
801C2×Dic3—22no—
802C2×Dic3—22no—
803C2×Dic3—22no—
804C2×Dic3—22no—
805C2×Dic3—22no—
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—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—
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—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—32no—
872C24—32no—
873C24—32no—
874C24—32no—
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—
901C24C2×D1212yes—
902C24C2×D1212yes—
903C24D3×D412yes—
904C24D3×D412yes—
905C24C23×D311yescharacteristic
906C2×D4—28no—
907C2×D4—28no—
908C2×D4—44no—
909C2×D4—44no—
910C2×D4—44no—
911C2×D4—44no—
912C2×D4—44no—
913C2×D4—68no—
914C2×D4—68no—
915C2×D4—68no—
916C2×D4—68no—
917C2×D4—68no—
918C2×D4—68no—
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—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—28no—
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—32no—
977C22×C4—32no—
978C22×C4—32no—
979C22×C4—32no—
980C22×C4—32no—
981C22×C4—44no—
982C22×C4—44no—
983C22×C4—44no—
984C22×C4—44no—
985C22×C4—44no—
986C22×C4—44no—
987C22×C4—68no—
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—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—124no—
1026C22×C4—124no—
1027C22×C4—124no—
1028C22×C4—124no—
1029C22×C4—124no—
1030C22×C4—124no—
1031C22×C4C2×D1212yes—
1032C22×C4#23512yes—
1033C22×C4D3×D412yes—
1034C22×C4D3×D412yes—
1035C22×C4#23712yes—
1036C22×C4C2×#6712yes—
1037C22×C4C2×#6712yes—
1038C22×C4C2×#6712yes—
1039C4⋊C4—68no—
1040C4⋊C4—68no—
1041C4⋊C4—124no—
1042C22⋊C4—44no—
1043C22⋊C4—44no—
1044C22⋊C4—44no—
1045C22⋊C4—68no—
1046C22⋊C4—68no—
1047C22⋊C4—68no—
1048C22⋊C4—68no—
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×C3—42no—
1072C22×C3—42no—
1073C22×C3—42no—
1074C22×C3—42no—
1075C22×C3—42no—
1076C22×C3—42no—
1077C22×C3—42no—
1078C22×C3—81no—
1079C22×C3—81no—
1080C22×C3—81no—
1081C22×C3—81no—
1082C22×C3—81no—
1083C22×C3—81no—
1084C22×C3—81no—
1085C22×C3—81no—
1086C22×C3C2×#12011yescharacteristic
1087C22×C3C2×#12011yescharacteristic
1088C22×C3C2×#12111yescharacteristic
1089C22×C3C2×#12111yescharacteristic
1090C22×C3#53211yescharacteristic
1091C22×C3#53211yescharacteristic
1092C22×C3#53411yescharacteristic
1093C22×C3#53411yescharacteristic
1094C22×C3#53411yescharacteristic
1095C22×C3#53711yescharacteristic
1096C22×C3#53711yescharacteristic
1097C22×C3#53711yescharacteristic
1098C22×C3#53811yescharacteristic
1099C22×C3#54011yescharacteristic
1100C22×C3#54011yescharacteristic
1101C22×C3D4211yescharacteristic
1102C22×C3D4211yescharacteristic
1103C22×C3D4211yescharacteristic
1104C22×C3D4211yescharacteristic
1105C22×C3D4211yescharacteristic
1106C22×C3D4211yescharacteristic
1107C22×C3D4211yescharacteristic
1108C22×C3#54611yescharacteristic
1109C22×C3#54611yescharacteristic
1110C22×C3#54611yescharacteristic
1111C22×C3#54611yescharacteristic
1112C22×C3#54611yescharacteristic
1113C22×C3#54611yescharacteristic
1114C22×C3#54711yescharacteristic
1115C22×C3#54711yescharacteristic
1116C22×C3#54711yescharacteristic
1117C22×C3#55011yescharacteristic
1118C22×C3#55511yescharacteristic
1119C22×C3#56011yescharacteristic
1120C22×C3#56211yescharacteristic
1121C2×D3—24no—
1122C2×D3—24no—
1123C2×D3—24no—
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—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—24no—
1153C3×C4—42no—
1154C3×C4—42no—
1155C3×C4—81no—
1156Dic3—42no—
1157Dic3—42no—
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—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—34no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
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—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
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—62no—
1251C23—62no—
1252C23—62no—
1253C23—62no—
1254C23—62no—
1255C23—62no—
1256C23—62no—
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×D3×D411yescharacteristic
1305C23C2×D3×D411yescharacteristic
1306C23C2×D3×D411yescharacteristic
1307C23C2×D3×D411yescharacteristic
1308C23C2×#23711yescharacteristic
1309C23#100411yescharacteristic
1310C23#100411yescharacteristic
1311C23#100411yescharacteristic
1312C23D3×#4111yescharacteristic
1313C23#100911yescharacteristic
1314C23#100911yescharacteristic
1315C23#101011yescharacteristic
1316C23C22×#6711yescharacteristic
1317D4—416no—
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—416no—
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—62no—
1358C2×C4—62no—
1359C2×C4—62no—
1360C2×C4—62no—
1361C2×C4—62no—
1362C2×C4—62no—
1363C2×C4—62no—
1364C2×C4—62no—
1365C2×C4—62no—
1366C2×C4—62no—
1367C2×C4—62no—
1368C2×C4—62no—
1369C2×C4—62no—
1370C2×C4—62no—
1371C2×C4—62no—
1372C2×C4—1216no—
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—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#93014yescomplemented
1401C2×C4#93814yescomplemented
1402C2×C3—44no—
1403C2×C3—82no—
1404C2×C3#240311yescharacteristic
1405C2×C3#241011yescharacteristic
1406C2×C3#241011yescharacteristic
1407C2×C3#242811yescharacteristic
1408C2×C3#242811yescharacteristic
1409C2×C3#243011yescharacteristic
1410C2×C3#243011yescharacteristic
1411C2×C3#253711yescharacteristic
1412C2×C3#255511yescharacteristic
1413C2×C3#266811yescharacteristic
1414C2×C3#267111yescharacteristic
1415C2×C3#267111yescharacteristic
1416C2×C3#267511yescharacteristic
1417C2×C3#268211yescharacteristic
1418C2×C3#269911yescharacteristic
1419D3—44no—
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—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—64no—
1444C22—64no—
1445C22—64no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—122no—
1455C22—122no—
1456C22—122no—
1457C22—122no—
1458C22—122no—
1459C22—122no—
1460C22—122no—
1461C22—122no—
1462C22—122no—
1463C22—122no—
1464C22—122no—
1465C22—122no—
1466C22—122no—
1467C22—122no—
1468C22—122no—
1469C22—122no—
1470C22—122no—
1471C22—122no—
1472C22—122no—
1473C22—241no—
1474C22—241no—
1475C22—241no—
1476C22—241no—
1477C22—241no—
1478C22—241no—
1479C22—241no—
1480C22—241no—
1481C22C2×#88211yescharacteristic
1482C22#549011yescharacteristic
1483C22#549011yescharacteristic
1484C22#549311yescharacteristic
1485C22#554811yescharacteristic
1486C22D4×D1211yescharacteristic
1487C22D4×D1211yescharacteristic
1488C22#555111yescharacteristic
1489C22#555411yescharacteristic
1490C22#555511yescharacteristic
1491C22#556211yescharacteristic
1492C22#556311yescharacteristic
1493C22D3×#12011yescharacteristic
1494C22#558911yescharacteristic
1495C22#559111yescharacteristic
1496C22#559111yescharacteristic
1497C22#559611yescharacteristic
1498C22#559711yescharacteristic
1499C22#560811yescharacteristic
1500C22#560911yescharacteristic
1501C22#560911yescharacteristic
1502C22#561211yescharacteristic
1503C22#561911yescharacteristic
1504C22#562011yescharacteristic
1505C22#565311yescharacteristic
1506C22#565511yescharacteristic
1507C22#565711yescharacteristic
1508C22#566711yescharacteristic
1509C22C2×#93011yescharacteristic
1510C22C2×#93811yescharacteristic
1511C22D4×#6711yescharacteristic
1512C22D4×#6711yescharacteristic
1513C22D4×#6711yescharacteristic
1514C22#583311yescharacteristic
1515C22#583411yescharacteristic
1516C4—24no—
1517C4—24no—
1518C4—42no—
1519C4—42no—
1520C4—81no—
1521C4—122no—
1522C4—122no—
1523C4—122no—
1524C4—122no—
1525C4—122no—
1526C4—241no—
1527C3#1527811yescharacteristic, complemented, Sylow
1528C2—44no—
1529C2—82no—
1530C2—124no—
1531C2—242no—
1532C2#7469911yescharacteristic
1533C2#7475611yescharacteristic
1534C2#7479011yescharacteristic
1535C2#7481011yescharacteristic
1536C2#7488411yescharacteristic
1537C2#7489611yescharacteristic
1538C2#7491011yescharacteristic
1539C2#7491311yescharacteristic
1540C2#8212711yescharacteristic
1541C2#8240911yescharacteristic
1542C2#8241711yescharacteristic
1543C2#8260511yescharacteristic
1544C2#8264811yescharacteristic
1545C2#8271811yescharacteristic
1546C2#8287311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#386C2
hypercenterC2×#386D3
hypocenterC3#15278
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C22×#938C2semidirect
2. C22×#930C2semidirect
3. C2×C3×#386C2semidirect
4. C2×#5223C2semidirect
5. C2×#4960C2semidirect
6. C2×#4961C2semidirect
7. C2×#4961C2semidirect
8. C2×#4665C2semidirect
9. #72127C2semidirect
10. #71550C2semidirect
11. #71550C2semidirect
12. #71546C2semidirect
13. #69427C2semidirect
14. (C2×D3)⋊#95C2semidirect
15. #69419C2semidirect
71. C2×#386D3semidirect
89. C22×C3×D4D4semidirect
129. C22×#67D4semidirect
142. C22×D12D4semidirect
170. C2×#217D4semidirect
193. C2×(C2×D3)⋊C4D4semidirect
204. C3×#95D4semidirect
516. C22×D4D12semidirect
604. #95#67semidirect
795. C2×C3×C4#121semidirect
796. C2×C3×C4#121semidirect
1400. C2×C4#930semidirect
1401. C2×C4#938semidirect
1527. C3#15278semidirect

Maximal subgroups

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

subgroupindex
C22×#9382
C22×#9302
C2×C3×#3862
C2×#52232
C2×#49602
C2×#49612
C2×#46652
#721272
#715502
#715462
#694272
(C2×D3)⋊#952
#694192
#152783