Finite Group Databasebeta

← #10718656

Subgroups — #10718656

Order 768.

3422 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#940C211yesmaximal, characteristic
2C22×#67⋊C4C211yesmaximal, characteristic, complemented
3C2×#5220C211yesmaximal, characteristic, complemented
4C2×#4956C211yesmaximal, characteristic, complemented
5C2×#4957C211yesmaximal, characteristic, complemented
6C2×#4957C211yesmaximal, characteristic, complemented
7C2×#4957C211yesmaximal, characteristic, complemented
8C2×#4958C211yesmaximal, characteristic, complemented
9C2×#4665C211yesmaximal, characteristic, complemented
10C3×#1438C211yesmaximal, characteristic, complemented
11#71550C211yesmaximal, characteristic, complemented
12#71550C211yesmaximal, characteristic, complemented
13#69426C211yesmaximal, characteristic, complemented
14Dic3⋊#95C211yesmaximal, characteristic, complemented
15Dic3×#95C211yesmaximal, characteristic, complemented
16#14025—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×#67C2211yescharacteristic
21C23×#67C2211yescharacteristic
22C24×Dic3C2211yescharacteristic
23C23×D12C2211yescharacteristic
24C23×C4×D3C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×C3×C22⋊C4C2211yescharacteristic
28C22×C3×C22⋊C4C2211yescharacteristic
29C22×#217C2211yescharacteristic
30C22×#217C2211yescharacteristic
31C22×#217C2211yescharacteristic
32C2×#940—24no—
33C2×#940—24no—
34C2×#940C418yescomplemented
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×Dic3⋊C4C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic
44C22×C4×Dic3C2211yescharacteristic
45C22×C4×Dic3C2211yescharacteristic
46C22×C4×Dic3C2211yescharacteristic
47C2×#67⋊C4—24no—
48C2×#67⋊C4—24no—
49C2×#67⋊C4—24no—
50C2×C3×#95C2211yescharacteristic
51C2×C3×#95C2211yescharacteristic
52#5220—24no—
53C2×C3⋊#95C2211yescharacteristic
54C2×C3⋊#95C2211yescharacteristic
55C2×C3⋊#95C2211yescharacteristic
56C2×C3⋊#95C2211yescharacteristic
57C2×C3⋊#95C2211yescharacteristic
58C2×C3⋊#95C2211yescharacteristic
59#4958—24no—
60#4957—24no—
61#4957—24no—
62#4957—24no—
63#4956—24no—
64#4665—24no—
65C22×#127—31no—
66C22×C4×D4—31no—
67C2×#390—31no—
68C2×#390—31no—
69C2×#390—31no—
70C2×#386—31no—
71C2×#386—31no—
72C2×#386—31no—
73C2×#386—31no—
74#1438—31no—
75#1438—31no—
76#1438—31no—
77#1438D311yescharacteristic, complemented
78C4⋊#95—31no—
79C4×#95—31no—
80C25×C3C2311yescharacteristic
81C25×C3C2311yescharacteristic
82C24×D3C2311yescharacteristic
83C24×D3C2311yescharacteristic
84C22×C3×D4—22no—
85C22×C3×D4—22no—
86C22×C3×D4—22no—
87C22×C3×D4—22no—
88C22×C3×D4—41no—
89C22×C3×D4—41no—
90C22×C3×D4C2×C414yescomplemented
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—22no—
110C22×#67—22no—
111C22×#67—22no—
112C22×#67—22no—
113C22×#67—22no—
114C22×#67—41no—
115C22×#67—41no—
116C22×#67—41no—
117C22×#67—41no—
118C22×#67C2×C414yes—
119C22×#67C2×C414yescomplemented
120C22×#67C2×C414yescomplemented
121C22×#67C2×C414yescomplemented
122C22×#67D414yes—
123C22×#67D414yes—
124C23×Dic3—22no—
125C23×Dic3—22no—
126C23×Dic3—22no—
127C23×Dic3—22no—
128C23×Dic3—22no—
129C23×Dic3—41no—
130C23×Dic3—41no—
131C23×Dic3C2311yescharacteristic
132C23×Dic3C2311yescharacteristic
133C23×Dic3C2311yescharacteristic
134C23×Dic3C2311yescharacteristic
135C23×Dic3C2311yescharacteristic
136C23×Dic3C2311yescharacteristic
137C22×D12—22no—
138C22×D12—22no—
139C22×D12—22no—
140C22×D12—22no—
141C22×D12—41no—
142C22×D12—41no—
143C22×D12C2×C414yescomplemented
144C22×C4×D3—22no—
145C22×C4×D3—22no—
146C22×C4×D3—22no—
147C22×C4×D3—22no—
148C22×C4×D3—22no—
149C22×C4×D3—41no—
150C22×C4×D3—41no—
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—22no—
158C2×C3×C22⋊C4—22no—
159C2×C3×C22⋊C4—41no—
160C2×C3×C22⋊C4—41no—
161C2×C3×C22⋊C4—41no—
162C2×C3×C22⋊C4—41no—
163C2×#217—22no—
164C2×#217—22no—
165C2×#217—22no—
166C2×#217—22no—
167C2×#217—22no—
168C2×#217—22no—
169C2×#217—22no—
170C2×#217—41no—
171C2×#217—41no—
172#940—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—41no—
189C2×(C2×D3)⋊C4—41no—
190C2×(C2×D3)⋊C4—41no—
191C2×(C2×D3)⋊C4—41no—
192C2×(C2×D3)⋊C4—41no—
193C2×(C2×D3)⋊C4—41no—
194C2×Dic3⋊C4—22no—
195C2×Dic3⋊C4—22no—
196C2×Dic3⋊C4—22no—
197C2×Dic3⋊C4—22no—
198C2×Dic3⋊C4—22no—
199C2×Dic3⋊C4D414yescomplemented
200C2×C4×Dic3—22no—
201C2×C4×Dic3—22no—
202C2×C4×Dic3—22no—
203C2×C4×Dic3—22no—
204C2×C4×Dic3—22no—
205C2×C4×Dic3—22no—
206C2×C4×Dic3—22no—
207C2×C4×Dic3C2×C414yescomplemented
208C2×C4×Dic3D414yescomplemented
209#67⋊C4—232no—
210C3×#95—22no—
211C3×#95—22no—
212C3⋊#95—22no—
213C3⋊#95—22no—
214C3⋊#95—22no—
215C3⋊#95—22no—
216C3⋊#95D414yescomplemented
217C3⋊#95D414yescomplemented
218C23×D4—31no—
219C23×D4—31no—
220C23×D4—31no—
221C23×D4—31no—
222C23×D4—31no—
223C23×D4C2×D311yescharacteristic
224C24×C4—31no—
225C24×C4—31no—
226C2×#127—38no—
227C2×#127—64no—
228C2×#127—64no—
229C2×C4×D4—64no—
230C2×C4×D4—64no—
231C2×C4×D4—64no—
232C22×C4⋊C4—31no—
233C22×C4⋊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⋊C4—31no—
243C22×C22⋊C4—31no—
244C22×C22⋊C4C2×D311yescharacteristic
245C22×C22⋊C4C2×D311yescharacteristic
246C22×C22⋊C4C2×D311yescharacteristic
247C22×C22⋊C4C2×D311yescharacteristic
248C22×C42—31no—
249C22×C42—31no—
250C22×C42—31no—
251#390—64no—
252#390—64no—
253#390—64no—
254#386—64no—
255#386—64no—
256#386—64no—
257#386—64no—
258C2×#95—31no—
259C2×#95—31no—
260C2×#95—31no—
261C2×#95—31no—
262C2×#95—31no—
263C2×#95—31no—
264C2×#95C2×D311yescharacteristic
265C2×#95C2×D311yescharacteristic
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×C3—21no—
287C24×C3—21no—
288C24×C3—21no—
289C24×C3—21no—
290C24×C3—21no—
291C24×C3—21no—
292C24×C3C22×C412yes—
293C24×C3C22×C412yes—
294C24×C3C2×D412yes—
295C24×C3C2×D412yes—
296C24×C3C2411yescharacteristic
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×D3—21no—
318C23×D3—21no—
319C23×D3—21no—
320C23×D3—21no—
321C23×D3—21no—
322C23×D3—21no—
323C23×D3C22×C412yes—
324C23×D3C22×C412yes—
325C23×D3C2×D412yes—
326C23×D3C2×D412yes—
327C2×C3×D4—28no—
328C2×C3×D4—28no—
329C2×C3×D4—44no—
330C2×C3×D4—44no—
331C2×C3×D4—44no—
332C2×C3×D4—44no—
333C2×C3×D4—44no—
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—21no—
358C22×C3×C4—21no—
359C22×C3×C4—21no—
360C22×C3×C4—21no—
361C22×C3×C4—21no—
362C22×C3×C4—21no—
363C22×C3×C4C22×C412yes—
364C22×C3×C4C2×D412yes—
365C22×C3×C4C2×D412yes—
366C22×C3×C4C2×D412yes—
367C22×C3×C4C2×D412yes—
368C22×C3×C4#4112yes—
369C2×#67—28no—
370C2×#67—28no—
371C2×#67—28no—
372C2×#67—28no—
373C2×#67—28no—
374C2×#67—28no—
375C2×#67—28no—
376C2×#67—28no—
377C2×#67—28no—
378C2×#67—28no—
379C2×#67—28no—
380C2×#67—28no—
381C2×#67—28no—
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×#67C22⋊C4116yescomplemented
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—28no—
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—44no—
426C22×Dic3—44no—
427C22×Dic3—44no—
428C22×Dic3—44no—
429C22×Dic3—44no—
430C22×Dic3—44no—
431C22×Dic3C22×C412yes—
432C22×Dic3C22×C412yes—
433C22×Dic3C2×D412yes—
434C22×Dic3C2×D412yes—
435C22×Dic3C2×D412yes—
436C22×Dic3C2×D412yes—
437C22×Dic3C2×D412yes—
438C22×Dic3C2×D412yes—
439C22×Dic3C2×D412yes—
440C22×Dic3C2×D412yes—
441C22×Dic3C2×D412yes—
442C22×Dic3C2×D412yes—
443C22×Dic3#4112yes—
444C22×Dic3#4112yes—
445C22×Dic3#4112yes—
446C2×D12—28no—
447C2×D12—28no—
448C2×D12—44no—
449C2×D12—44no—
450C2×D12—44no—
451C2×D12—44no—
452C2×D12—44no—
453C2×C4×D3—28no—
454C2×C4×D3—44no—
455C2×C4×D3—44no—
456C2×C4×D3—44no—
457C2×C4×D3—44no—
458C2×C4×D3—44no—
459C2×C4×D3—44no—
460C3×C22⋊C4—28no—
461C3×C22⋊C4—44no—
462C3×C22⋊C4—44no—
463C3×C22⋊C4—44no—
464#217—44no—
465#217—44no—
466#217—44no—
467(C2×D3)⋊C4—28no—
468(C2×D3)⋊C4—44no—
469(C2×D3)⋊C4—44no—
470(C2×D3)⋊C4—44no—
471(C2×D3)⋊C4—44no—
472(C2×D3)⋊C4—44no—
473(C2×D3)⋊C4—44no—
474Dic3⋊C4—28no—
475Dic3⋊C4—44no—
476C4×Dic3—28no—
477C4×Dic3—28no—
478C4×Dic3—44no—
479C25—31no—
480C25—31no—
481C25C22×D311yescharacteristic
482C25C22×D311yescharacteristic
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—34no—
488C22×D4—34no—
489C22×D4—34no—
490C22×D4—34no—
491C22×D4—34no—
492C22×D4—34no—
493C22×D4—34no—
494C22×D4—41no—
495C22×D4—41no—
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—62no—
505C22×D4—62no—
506C22×D4—62no—
507C22×D4—62no—
508C22×D4—62no—
509C22×D4—62no—
510C22×D4—62no—
511C22×D4—62no—
512C22×D4—62no—
513C22×D4—62no—
514C22×D4—62no—
515C22×D4—62no—
516C22×D4—62no—
517C22×D4—62no—
518C22×D4—121no—
519C22×D4—121no—
520C22×D4—121no—
521C22×D4—121no—
522C22×D4—121no—
523C22×D4—121no—
524C22×D4C4×D314yescomplemented
525C23×C4—31no—
526C23×C4—31no—
527C23×C4—31no—
528C23×C4—31no—
529C23×C4—31no—
530C23×C4—31no—
531C23×C4—62no—
532C23×C4—62no—
533C23×C4—62no—
534C23×C4—62no—
535C23×C4—62no—
536C23×C4—62no—
537C23×C4—62no—
538C23×C4—62no—
539C23×C4—62no—
540C23×C4—62no—
541C23×C4—121no—
542C23×C4—121no—
543C23×C4—121no—
544C23×C4—121no—
545C23×C4C22×D311yescharacteristic
546C23×C4C22×D311yescharacteristic
547C23×C4C22×D311yescharacteristic
548C23×C4C22×D311yescharacteristic
549C23×C4C22×D311yescharacteristic
550#127—632no—
551C4×D4—632no—
552C2×C4⋊C4—34no—
553C2×C4⋊C4—62no—
554C2×C4⋊C4—62no—
555C2×C4⋊C4—62no—
556C2×C4⋊C4—62no—
557C2×C4⋊C4—62no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—41no—
567C2×C22⋊C4—41no—
568C2×C22⋊C4—41no—
569C2×C22⋊C4—41no—
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—62no—
590C2×C22⋊C4—62no—
591C2×C22⋊C4—62no—
592C2×C22⋊C4—121no—
593C2×C22⋊C4—121no—
594C2×C22⋊C4—121no—
595C2×C22⋊C4—121no—
596C2×C22⋊C4—121no—
597C2×C22⋊C4—121no—
598C2×C22⋊C4—121no—
599C2×C22⋊C4—121no—
600C2×C42—34no—
601C2×C42—34no—
602C2×C42—62no—
603C2×C42—62no—
604C2×C42—62no—
605C2×C42—62no—
606C2×C42—62no—
607C2×C42—62no—
608C2×C42—62no—
609#95—22no—
610#95—22no—
611#95—34no—
612#95—34no—
613#95—62no—
614#95—62no—
615#95—62no—
616#95—62no—
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—22no—
631C23×C3—22no—
632C23×C3—22no—
633C23×C3—22no—
634C23×C3—22no—
635C23×C3—22no—
636C23×C3—22no—
637C23×C3—22no—
638C23×C3—22no—
639C23×C3—22no—
640C23×C3—22no—
641C23×C3—22no—
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—41no—
675C23×C3—41no—
676C23×C3—41no—
677C23×C3—41no—
678C23×C3—41no—
679C23×C3—41no—
680C23×C3—41no—
681C23×C3—41no—
682C23×C3—41no—
683C23×C3—41no—
684C23×C3—41no—
685C23×C3—41no—
686C23×C3C2×C22⋊C414yes—
687C23×C3C23×C411yescharacteristic
688C23×C3C22×D411yescharacteristic
689C23×C3C22×D411yescharacteristic
690C23×C3C22×D411yescharacteristic
691C23×C3C22×D411yescharacteristic
692C23×C3C22×D411yescharacteristic
693C23×C3C22×D411yescharacteristic
694C23×C3C2×#4111yescharacteristic
695C23×C3C2×#4111yescharacteristic
696C23×C3C2×#4111yescharacteristic
697C23×C3C2×#4111yescharacteristic
698C23×C3H(5,𝔽2)11yescharacteristic
699C23×C3H(5,𝔽2)11yescharacteristic
700C23×C3H(5,𝔽2)11yescharacteristic
701C23×C3H(5,𝔽2)11yescharacteristic
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—22no—
716C22×D3—22no—
717C22×D3—22no—
718C22×D3—22no—
719C22×D3—22no—
720C22×D3—22no—
721C22×D3—22no—
722C22×D3—22no—
723C22×D3—22no—
724C22×D3—22no—
725C22×D3—22no—
726C22×D3—22no—
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—41no—
766C22×D3—41no—
767C22×D3—41no—
768C22×D3—41no—
769C22×D3—41no—
770C22×D3—41no—
771C22×D3C2×C22⋊C414yes—
772C3×D4—416no—
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—22no—
786C2×C3×C4—22no—
787C2×C3×C4—22no—
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×C4C4×D414yescomplemented
808#67—232no—
809#67—416no—
810#67—416no—
811#67—416no—
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—22no—
822C2×Dic3—22no—
823C2×Dic3—22no—
824C2×Dic3—22no—
825C2×Dic3—22no—
826C2×Dic3—22no—
827C2×Dic3—22no—
828C2×Dic3—22no—
829C2×Dic3—22no—
830C2×Dic3—416no—
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—
845C2×Dic3—41no—
846C2×Dic3C2×C22⋊C414yes—
847C2×Dic3C4×D414yes—
848C2×Dic3C4×D414yes—
849C2×Dic3C4×D414yescomplemented
850C2×Dic3#12014yes—
851C2×Dic3#12114yes—
852C2×Dic3#12114yes—
853C2×Dic3#12314yes—
854C2×Dic3#12714yescomplemented
855D12—416no—
856C4×D3—416no—
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—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—32no—
884C24—32no—
885C24—32no—
886C24—32no—
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—61no—
908C24—61no—
909C24—61no—
910C24—61no—
911C24—61no—
912C24—61no—
913C24C2×C4×D312yes—
914C24C2×C4×D312yes—
915C24D3×D412yes—
916C24D3×D412yes—
917C24C23×D311yescharacteristic
918C2×D4—28no—
919C2×D4—28no—
920C2×D4—316no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—68no—
927C2×D4—68no—
928C2×D4—68no—
929C2×D4—68no—
930C2×D4—68no—
931C2×D4—68no—
932C2×D4—68no—
933C2×D4—68no—
934C2×D4—68no—
935C2×D4—68no—
936C2×D4—68no—
937C2×D4—68no—
938C2×D4—68no—
939C2×D4—68no—
940C2×D4—68no—
941C2×D4—124no—
942C2×D4—124no—
943C2×D4—124no—
944C2×D4—124no—
945C2×D4—124no—
946C2×D4—124no—
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—
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—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—32no—
990C22×C4—32no—
991C22×C4—32no—
992C22×C4—32no—
993C22×C4—32no—
994C22×C4—32no—
995C22×C4—32no—
996C22×C4—32no—
997C22×C4—32no—
998C22×C4—32no—
999C22×C4—32no—
1000C22×C4—32no—
1001C22×C4—32no—
1002C22×C4—32no—
1003C22×C4—32no—
1004C22×C4—68no—
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—68no—
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—124no—
1034C22×C4—124no—
1035C22×C4—124no—
1036C22×C4—124no—
1037C22×C4—124no—
1038C22×C4—124no—
1039C22×C4—124no—
1040C22×C4—124no—
1041C22×C4—124no—
1042C22×C4—124no—
1043C22×C4—124no—
1044C22×C4—124no—
1045C22×C4C2×C4×D312yes—
1046C22×C4D3×D412yes—
1047C22×C4D3×D412yes—
1048C22×C4D3×D412yes—
1049C22×C4D3×D412yes—
1050C22×C4#23712yes—
1051C4⋊C4—68no—
1052C4⋊C4—124no—
1053C22⋊C4—28no—
1054C22⋊C4—44no—
1055C22⋊C4—44no—
1056C22⋊C4—44no—
1057C22⋊C4—68no—
1058C22⋊C4—124no—
1059C22⋊C4—124no—
1060C22⋊C4—124no—
1061C22⋊C4—124no—
1062C22⋊C4—124no—
1063C22⋊C4—124no—
1064C22⋊C4—124no—
1065C22⋊C4—124no—
1066C22⋊C4—124no—
1067C42—68no—
1068C42—68no—
1069C42—124no—
1070C22×C3—24no—
1071C22×C3—24no—
1072C22×C3—24no—
1073C22×C3—42no—
1074C22×C3—42no—
1075C22×C3—42no—
1076C22×C3—42no—
1077C22×C3—42no—
1078C22×C3—42no—
1079C22×C3—42no—
1080C22×C3—42no—
1081C22×C3—42no—
1082C22×C3—42no—
1083C22×C3—42no—
1084C22×C3—42no—
1085C22×C3—42no—
1086C22×C3—42no—
1087C22×C3—42no—
1088C22×C3—42no—
1089C22×C3—42no—
1090C22×C3—42no—
1091C22×C3—42no—
1092C22×C3—81no—
1093C22×C3—81no—
1094C22×C3—81no—
1095C22×C3—81no—
1096C22×C3—81no—
1097C22×C3—81no—
1098C22×C3—81no—
1099C22×C3—81no—
1100C22×C3C22×C22⋊C411yescharacteristic
1101C22×C3C2×C4×D411yescharacteristic
1102C22×C3C2×C4×D411yescharacteristic
1103C22×C3C2×C4×D411yescharacteristic
1104C22×C3C2×C4×D411yescharacteristic
1105C22×C3#51811yescharacteristic
1106C22×C3#51811yescharacteristic
1107C22×C3C2×#12011yescharacteristic
1108C22×C3C2×#12111yescharacteristic
1109C22×C3C2×#12111yescharacteristic
1110C22×C3C2×#12311yescharacteristic
1111C22×C3C2×#12711yescharacteristic
1112C22×C3#53211yescharacteristic
1113C22×C3#53211yescharacteristic
1114C22×C3#53211yescharacteristic
1115C22×C3#53511yescharacteristic
1116C22×C3#53511yescharacteristic
1117C22×C3#54011yescharacteristic
1118C22×C3#54011yescharacteristic
1119C22×C3D4211yescharacteristic
1120C22×C3D4211yescharacteristic
1121C22×C3D4211yescharacteristic
1122C22×C3D4211yescharacteristic
1123C22×C3D4211yescharacteristic
1124C22×C3D4211yescharacteristic
1125C22×C3#54611yescharacteristic
1126C22×C3#54611yescharacteristic
1127C22×C3#54611yescharacteristic
1128C22×C3#54611yescharacteristic
1129C22×C3#55011yescharacteristic
1130C22×C3#55011yescharacteristic
1131C22×C3#55011yescharacteristic
1132C22×C3#55011yescharacteristic
1133C22×C3#55911yescharacteristic
1134C22×C3#55911yescharacteristic
1135C2×D3—24no—
1136C2×D3—24no—
1137C2×D3—24no—
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—42no—
1153C2×D3—42no—
1154C2×D3—42no—
1155C2×D3—42no—
1156C2×D3—42no—
1157C2×D3—81no—
1158C2×D3—81no—
1159C2×D3—81no—
1160C2×D3—81no—
1161C2×D3—81no—
1162C2×D3—81no—
1163C2×D3—81no—
1164C2×D3—81no—
1165C3×C4—24no—
1166C3×C4—42no—
1167C3×C4—42no—
1168C3×C4—42no—
1169C3×C4—81no—
1170Dic3—24no—
1171Dic3—24no—
1172Dic3—42no—
1173Dic3—42no—
1174Dic3—81no—
1175Dic3#38618yescomplemented
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—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—34no—
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—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—62no—
1247C23—62no—
1248C23—62no—
1249C23—62no—
1250C23—62no—
1251C23—62no—
1252C23—62no—
1253C23—62no—
1254C23—62no—
1255C23—62no—
1256C23—62no—
1257C23—62no—
1258C23—62no—
1259C23—62no—
1260C23—62no—
1261C23—62no—
1262C23—62no—
1263C23—62no—
1264C23—62no—
1265C23—62no—
1266C23—62no—
1267C23—62no—
1268C23—62no—
1269C23—62no—
1270C23—62no—
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—
1315C23D3×C22⋊C414yes—
1316C23C22×C4×D311yescharacteristic
1317C23C2×D3×D411yescharacteristic
1318C23C2×D3×D411yescharacteristic
1319C23C2×D3×D411yescharacteristic
1320C23C2×D3×D411yescharacteristic
1321C23C2×D3×D411yescharacteristic
1322C23C2×D3×D411yescharacteristic
1323C23C2×#23711yescharacteristic
1324C23#100411yescharacteristic
1325C23#100411yescharacteristic
1326C23#100411yescharacteristic
1327C23D3×#4111yescharacteristic
1328C23D3×#4111yescharacteristic
1329C23D3×#4111yescharacteristic
1330C23#100911yescharacteristic
1331D4—416no—
1332D4—632no—
1333D4—1216no—
1334D4—1216no—
1335D4—1216no—
1336D4—1216no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
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—34no—
1353C2×C4—34no—
1354C2×C4—34no—
1355C2×C4—34no—
1356C2×C4—34no—
1357C2×C4—34no—
1358C2×C4—34no—
1359C2×C4—34no—
1360C2×C4—34no—
1361C2×C4—41no—
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—62no—
1381C2×C4—62no—
1382C2×C4—62no—
1383C2×C4—62no—
1384C2×C4—62no—
1385C2×C4—62no—
1386C2×C4—62no—
1387C2×C4—62no—
1388C2×C4—62no—
1389C2×C4—62no—
1390C2×C4—62no—
1391C2×C4—62no—
1392C2×C4—62no—
1393C2×C4—62no—
1394C2×C4—62no—
1395C2×C4—62no—
1396C2×C4—62no—
1397C2×C4—62no—
1398C2×C4—1216no—
1399C2×C4—1216no—
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#67⋊C414yescomplemented
1416C2×C3—44no—
1417C2×C3—82no—
1418C2×C3C2×#38611yescharacteristic
1419C2×C3C4×#12711yescharacteristic
1420C2×C3#232811yescharacteristic
1421C2×C3D4×C22⋊C411yescharacteristic
1422C2×C3D4×C22⋊C411yescharacteristic
1423C2×C3#236611yescharacteristic
1424C2×C3#236611yescharacteristic
1425C2×C3#242811yescharacteristic
1426C2×C3#242811yescharacteristic
1427C2×C3#243111yescharacteristic
1428C2×C3#243311yescharacteristic
1429C2×C3#244511yescharacteristic
1430C2×C3#244511yescharacteristic
1431C2×C3#254111yescharacteristic
1432C2×C3#254411yescharacteristic
1433D3—44no—
1434D3—82no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
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—42no—
1456C22—42no—
1457C22—64no—
1458C22—64no—
1459C22—64no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
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—241no—
1488C22—241no—
1489C22—241no—
1490C22—241no—
1491C22—241no—
1492C22—241no—
1493C22—241no—
1494C22—241no—
1495C22C2×D3×C22⋊C411yescharacteristic
1496C22C2×#67⋊C411yescharacteristic
1497C22#548611yescharacteristic
1498C22C4×D3×D411yescharacteristic
1499C22C4×D3×D411yescharacteristic
1500C22C4×D3×D411yescharacteristic
1501C22#554511yescharacteristic
1502C22D3×#12011yescharacteristic
1503C22#559011yescharacteristic
1504C22#559011yescharacteristic
1505C22#559011yescharacteristic
1506C22#559011yescharacteristic
1507C22#559111yescharacteristic
1508C22#559111yescharacteristic
1509C22#559211yescharacteristic
1510C22#559611yescharacteristic
1511C22#559611yescharacteristic
1512C22#559911yescharacteristic
1513C22#559911yescharacteristic
1514C22#559911yescharacteristic
1515C22D3×#12111yescharacteristic
1516C22D3×#12111yescharacteristic
1517C22#560711yescharacteristic
1518C22#560911yescharacteristic
1519C22#560911yescharacteristic
1520C22#561011yescharacteristic
1521C22#561511yescharacteristic
1522C22D3×#12311yescharacteristic
1523C22#565411yescharacteristic
1524C22#566311yescharacteristic
1525C22#566411yescharacteristic
1526C22#566811yescharacteristic
1527C22#568111yescharacteristic
1528C22D3×#12711yescharacteristic
1529C22#571811yescharacteristic
1530C4—24no—
1531C4—38no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—64no—
1536C4—64no—
1537C4—81no—
1538C4—122no—
1539C4—122no—
1540C4—241no—
1541C3#1402511yescharacteristic, complemented, Sylow
1542C2—44no—
1543C2—82no—
1544C2—124no—
1545C2—242no—
1546C2#7385011yescharacteristic
1547C2#7466711yescharacteristic
1548C2#7467911yescharacteristic
1549C2D3×#38611yescharacteristic
1550C2#7487811yescharacteristic
1551C2#7629311yescharacteristic
1552C2#7630611yescharacteristic
1553C2#7667111yescharacteristic
1554C2#7667211yescharacteristic
1555C2#7667311yescharacteristic
1556C2#7668811yescharacteristic
1557C2#7690311yescharacteristic
1558C2#7690611yescharacteristic
1559C2#7690711yescharacteristic
1560C2#7694511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×#1438C2
socle, cosocleC24×C3C24
prime radicalC22×#940C2
hypercenter#1438D3
hypocenterC3#14025
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#67⋊C4C2semidirect
3. C2×#5220C2semidirect
4. C2×#4956C2semidirect
5. C2×#4957C2semidirect
6. C2×#4957C2semidirect
7. C2×#4957C2semidirect
8. C2×#4958C2semidirect
9. C2×#4665C2semidirect
10. C3×#1438C2semidirect
11. #71550C2semidirect
12. #71550C2semidirect
13. #69426C2semidirect
14. Dic3⋊#95C2semidirect
15. Dic3×#95C2semidirect
34. C2×#940C4semidirect
77. #1438D3semidirect
90. C22×C3×D4C2×C4semidirect
119. C22×#67C2×C4semidirect
120. C22×#67C2×C4semidirect
121. C22×#67C2×C4semidirect
143. C22×D12C2×C4semidirect
199. C2×Dic3⋊C4D4semidirect
207. C2×C4×Dic3C2×C4semidirect
208. C2×C4×Dic3D4semidirect
216. C3⋊#95D4semidirect
217. C3⋊#95D4semidirect
396. C2×#67C22⋊C4semidirect
524. C22×D4C4×D3semidirect
807. C2×C3×C4C4×D4semidirect
849. C2×Dic3C4×D4semidirect
854. C2×Dic3#127semidirect
1175. Dic3#386semidirect
1415. C2×C4#67⋊C4semidirect
1541. C3#14025semidirect

Maximal subgroups

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

subgroupindex
C22×#9402
C22×#67⋊C42
C2×#52202
C2×#49562
C2×#49572
C2×#49582
C2×#46652
C3×#14382
#715502
#694262
Dic3⋊#952
Dic3×#952
#140253