Finite Group Databasebeta

← #11811958

Subgroups — #11811958

Order 1152.

2945 conjugacy classes of subgroups.

The subgroup lattice has 1485 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×#67C211yesmaximal, characteristic, complemented
2C2×#64149C211yesmaximal, characteristic, complemented
3C2×C3×#937C211yesmaximal, characteristic, complemented
4C2×#63983C211yesmaximal, characteristic, complemented
5C2×#63979C211yesmaximal, characteristic, complemented
6C2×#63977C211yesmaximal, characteristic, complemented
7C2×#63971C211yesmaximal, characteristic, complemented
8C2×#63923C211yesmaximal, characteristic, complemented
9C3×#5223C211yesmaximal, characteristic, complemented
10#10591724C211yesmaximal, characteristic, complemented
11#10591724C211yesmaximal, characteristic, complemented
12#10591704C211yesmaximal, characteristic, complemented
13#10591395C211yesmaximal, characteristic, complemented
14#10591385C211yesmaximal, characteristic, complemented
15#10591368C211yesmaximal, characteristic, complemented
16#82588—31nomaximal
17#76673—31nomaximal
18C24×C3×D3C2211yescharacteristic
19C23×D32C2211yescharacteristic
20C22×C32×D4C2211yescharacteristic, complemented
21C22×#638C2211yescharacteristic
22C22×#638C2211yescharacteristic, complemented
23C22×#638C2211yescharacteristic, complemented
24C22×#638C2211yescharacteristic, complemented
25C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
26C22×C3×#67C2211yescharacteristic
27C22×C3×#67C2211yescharacteristic
28C22×C3×#67C2211yescharacteristic, complemented
29C22×C3×#67C2211yescharacteristic, complemented
30C2×D3×#67—24no—
31C2×D3×#67—24no—
32C2×D3×#67—24no—
33C22×#626C2211yescharacteristic
34C22×#626C2211yescharacteristic
35C22×#626C2211yescharacteristic, complemented
36C22×#626C2211yescharacteristic, complemented
37C22×#625C2211yescharacteristic
38C22×D3×Dic3C2211yescharacteristic
39#64149—24no—
40C2×C4×C3⋊Dic3C2211yescharacteristic, complemented
41C2×C3×#217C2211yescharacteristic, complemented
42C2×C3×#217C2211yescharacteristic, complemented
43C2×C3×#217C2211yescharacteristic, complemented
44C3×#937—24no—
45C2×C3×(C2×D3)⋊C4C2211yescharacteristic
46C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C2×C3×(C2×D3)⋊C4C2211yescharacteristic, complemented
48#63983—24no—
49#63979—24no—
50#63977—24no—
51#63971—24no—
52C2×#3724C2211yescharacteristic, complemented
53C2×#3722C2211yescharacteristic, complemented
54C2×#3722C2211yescharacteristic, complemented
55C2×#3722C2211yescharacteristic, complemented
56C2×(C2×D3)⋊Dic3C2211yescharacteristic
57C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
59C2×Dic32C2211yescharacteristic, complemented
60#63923—24no—
61C3×C3⋊#95C2211yescharacteristic, complemented
62#63579C2211yescharacteristic, complemented
63C23×#67—31no—
64C22×D3×D4—31no—
65C2×C3×#120—31no—
66C2×#953—31no—
67C2×#940—31no—
68C2×#940—31no—
69C2×#940—31no—
70C2×#940—31no—
71C2×#940—61no—
72C2×#939—31no—
73C2×#937—31no—
74C2×#937—31no—
75C2×#937D311yescharacteristic, complemented
76C2×#884—31no—
77C2×#882—31no—
78C2×#882—31no—
79C2×#882—31no—
80C3×#392—31no—
81#5223—31no—
82#5223—31no—
83#5223D311yescharacteristic, complemented
84#4960—31no—
85#4960—31no—
86#4960—31no—
87#4957—31no—
88#4957—31no—
89#4957—31no—
90#4957—31no—
91Dic3×C22⋊C4—31no—
92#4671—31no—
93#4666—31no—
94C24×C32C2311yescharacteristic
95C24×C32C2311yescharacteristic
96C23×C3⋊D3C2311yescharacteristic
97C23×C3⋊D3C2311yescharacteristic
98C23×C3×D3—22no—
99C23×C3×D3—22no—
100C23×C3×D3—22no—
101C23×C3×D3—22no—
102C23×C3×D3—22no—
103C23×C3×D3—41no—
104C23×C3×D3—41no—
105C23×C3×D3C2311yescharacteristic
106C23×C3×D3C2311yescharacteristic
107C23×C3×D3C2311yescharacteristic
108C22×D32—22no—
109C22×D32—22no—
110C22×D32—22no—
111C22×D32—22no—
112C22×D32—22no—
113C22×D32—41no—
114C22×D32—41no—
115C2×C32×D4—22no—
116C2×C32×D4—22no—
117C2×C32×D4—41no—
118C22×C32×C4C2311yescharacteristic
119C2×#638—22no—
120C2×#638—22no—
121C2×#638—22no—
122C2×#638—22no—
123C2×#638—22no—
124C2×#638—22no—
125C2×#638—22no—
126C2×#638—22no—
127C2×#638—22no—
128C2×#638—41no—
129C2×#638—41no—
130C2×#638D414yescomplemented
131C22×C3⋊Dic3C2311yescharacteristic
132C22×C3⋊Dic3C2311yescharacteristic
133C2×C4⋊(C3⋊D3)—22no—
134C2×C4⋊(C3⋊D3)—22no—
135C2×C4⋊(C3⋊D3)—41no—
136C2×C3×#67—22no—
137C2×C3×#67—22no—
138C2×C3×#67—22no—
139C2×C3×#67—22no—
140C2×C3×#67—22no—
141C2×C3×#67—22no—
142C2×C3×#67—22no—
143C2×C3×#67—22no—
144C2×C3×#67—22no—
145C2×C3×#67—22no—
146C2×C3×#67—41no—
147C2×C3×#67—41no—
148C22×C3×Dic3C2311yescharacteristic
149C22×C3×Dic3C2311yescharacteristic
150C22×C3×Dic3C2311yescharacteristic
151C22×C3×Dic3C2311yescharacteristic
152C22×C3×Dic3C2311yescharacteristic
153D3×#67—232no—
154C2×#626—22no—
155C2×#626—22no—
156C2×#626—22no—
157C2×#626—22no—
158C2×#626—22no—
159C2×#626—22no—
160C2×#626—22no—
161C2×#626—22no—
162C2×#626—22no—
163C2×#626—22no—
164C2×#626—41no—
165C2×#626—41no—
166C2×#625—22no—
167C2×#625—22no—
168C2×#625D414yescomplemented
169C2×D3×Dic3—22no—
170C2×D3×Dic3—22no—
171C2×D3×Dic3D414yescomplemented
172C4×C3⋊Dic3—22no—
173C3×#217—22no—
174C3×#217—22no—
175C3×#217—22no—
176C3×(C2×D3)⋊C4—22no—
177C3×(C2×D3)⋊C4—22no—
178C3×(C2×D3)⋊C4D414yescomplemented
179#3724—22no—
180#3722—22no—
181#3722—22no—
182#3722—22no—
183(C2×D3)⋊Dic3—22no—
184(C2×D3)⋊Dic3—22no—
185(C2×D3)⋊Dic3D414yescomplemented
186Dic32—22no—
187#2433—91noSylow
188C25×C3—31no—
189C24×D3—31no—
190C24×D3—31no—
191C24×D3C2×D311yescharacteristic
192C22×C3×D4—21no—
193C22×C3×D4—31no—
194C22×C3×D4—31no—
195C22×C3×D4—31no—
196C22×C3×D4—31no—
197C22×C3×D4C2×D311yescharacteristic, complemented
198C22×C3×D4C2×D311yescharacteristic, complemented
199C22×#67—31no—
200C22×#67—31no—
201C22×#67—31no—
202C22×#67—31no—
203C22×#67—31no—
204C22×#67—31no—
205C22×#67—31no—
206C22×#67—31no—
207C22×#67—31no—
208C22×#67—31no—
209C22×#67—31no—
210C22×#67—31no—
211C22×#67—31no—
212C22×#67—31no—
213C22×#67—61no—
214C22×#67—61no—
215C22×#67—61no—
216C22×#67—61no—
217C22×#67—64no—
218C22×#67—64no—
219C22×#67—64no—
220C22×#67C2×D311yescharacteristic
221C22×#67C2×D311yescharacteristic
222C22×#67C2×D311yescharacteristic, complemented
223C22×#67C2×D311yescharacteristic, complemented
224C23×Dic3—31no—
225C2×D3×D4—64no—
226C2×D3×D4—64no—
227C2×D3×D4—64no—
228C22×D12—31no—
229C22×D12—31no—
230C22×D12—31no—
231C22×D12—31no—
232C22×D12—31no—
233C22×D12—31no—
234C22×D12—61no—
235C22×C4×D3—31no—
236C3×#120—64no—
237C2×C3×C22⋊C4—31no—
238C2×C3×C22⋊C4—31no—
239C2×C3×C22⋊C4—31no—
240C2×C3×C22⋊C4—31no—
241C2×C3×C22⋊C4—31no—
242C2×C3×C22⋊C4—31no—
243#953—64no—
244C2×#217—31no—
245C2×#217—31no—
246C2×#217—31no—
247C2×#217C2×D311yescharacteristic, complemented
248C2×#217C2×D311yescharacteristic, complemented
249C2×#217C2×D311yescharacteristic, complemented
250#940—64no—
251#940—64no—
252#940—64no—
253#940—64no—
254#940—68no—
255#939—64no—
256#937—24no—
257#937—64no—
258#937—64no—
259C2×(C2×D3)⋊C4—31no—
260C2×(C2×D3)⋊C4—31no—
261C2×(C2×D3)⋊C4—31no—
262C2×(C2×D3)⋊C4—31no—
263C2×(C2×D3)⋊C4—31no—
264C2×(C2×D3)⋊C4—31no—
265C2×(C2×D3)⋊C4—31no—
266C2×(C2×D3)⋊C4—31no—
267C2×(C2×D3)⋊C4—31no—
268C2×(C2×D3)⋊C4C2×D311yescharacteristic
269C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
270C2×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
271C2×Dic3⋊C4—31no—
272C2×Dic3⋊C4—31no—
273C2×C4×Dic3—31no—
274C2×C4×Dic3—31no—
275C2×C4×Dic3—31no—
276C2×C4×Dic3—31no—
277C2×C4×Dic3—61no—
278#884—64no—
279#882—64no—
280#882—64no—
281#882—64no—
282C3×#95—31no—
283C3⋊#95—31no—
284C3⋊#95—31no—
285C3⋊#95C2×D311yescharacteristic, complemented
286C23×C32—21no—
287C23×C32—21no—
288C23×C32—21no—
289C23×C32—21no—
290C23×C32—21no—
291C23×C32—21no—
292C23×C32—21no—
293C23×C32—21no—
294C23×C32—21no—
295C23×C32—21no—
296C23×C32—21no—
297C23×C32—21no—
298C23×C32—21no—
299C23×C32C2×D412yes—
300C23×C32C2411yescharacteristic
301C22×C3⋊D3—21no—
302C22×C3⋊D3—21no—
303C22×C3⋊D3—21no—
304C22×C3⋊D3—21no—
305C22×C3⋊D3—21no—
306C22×C3⋊D3—21no—
307C22×C3⋊D3—21no—
308C22×C3⋊D3—21no—
309C22×C3⋊D3—21no—
310C22×C3⋊D3—21no—
311C22×C3⋊D3—21no—
312C22×C3⋊D3—21no—
313C22×C3⋊D3—21no—
314C22×C3⋊D3C2×D412yes—
315C22×C3×D3—21no—
316C22×C3×D3—21no—
317C22×C3×D3—21no—
318C22×C3×D3—21no—
319C22×C3×D3—28no—
320C22×C3×D3—21no—
321C22×C3×D3—21no—
322C22×C3×D3—21no—
323C22×C3×D3—21no—
324C22×C3×D3—21no—
325C22×C3×D3—21no—
326C22×C3×D3—21no—
327C22×C3×D3—21no—
328C22×C3×D3—21no—
329C22×C3×D3—21no—
330C22×C3×D3—21no—
331C22×C3×D3—21no—
332C22×C3×D3—44no—
333C22×C3×D3—44no—
334C22×C3×D3—44no—
335C22×C3×D3—44no—
336C22×C3×D3—44no—
337C22×C3×D3—44no—
338C22×C3×D3C2×D412yes—
339C22×C3×D3C2×D412yes—
340C22×C3×D3C2×D412yes—
341C22×C3×D3C2×D412yes—
342C22×C3×D3C2×D412yes—
343C2×D32—28no—
344C2×D32—44no—
345C2×D32—44no—
346C2×D32—44no—
347C2×D32—44no—
348C2×D32—44no—
349C2×D32—44no—
350C32×D4—44no—
351C2×C32×C4—21no—
352C2×C32×C4—21no—
353C2×C32×C4C2×D412yescomplemented
354#638—28no—
355#638—44no—
356#638—44no—
357#638—44no—
358C2×C3⋊Dic3—21no—
359C2×C3⋊Dic3—21no—
360C2×C3⋊Dic3C2×D412yes—
361C2×C3⋊Dic3C2×D412yes—
362C2×C3⋊Dic3C2×D412yes—
363C2×C3⋊Dic3C2×D412yescomplemented
364C4⋊(C3⋊D3)—44no—
365C3×#67—28no—
366C3×#67—44no—
367C3×#67—44no—
368C3×#67—44no—
369C2×C3×Dic3—21no—
370C2×C3×Dic3—21no—
371C2×C3×Dic3—21no—
372C2×C3×Dic3—21no—
373C2×C3×Dic3—21no—
374C2×C3×Dic3—21no—
375C2×C3×Dic3—21no—
376C2×C3×Dic3—21no—
377C2×C3×Dic3—21no—
378C2×C3×Dic3—21no—
379C2×C3×Dic3—21no—
380C2×C3×Dic3—21no—
381C2×C3×Dic3C2×D412yes—
382C2×C3×Dic3C2×D412yescomplemented
383C2×C3×Dic3C2×D412yescomplemented
384#626—28no—
385#626—44no—
386#626—44no—
387#626—44no—
388#625—28no—
389D3×Dic3—28no—
390C23×D4—91no—
391C2×#127—91no—
392C2×#127—91no—
393C2×#121—91no—
394C2×#120—31no—
395C2×#120—91no—
396C2×#120—91no—
397C2×#120—91no—
398#392—31no—
399#392—91no—
400#392—91no—
401#392—91no—
402#390—91no—
403#390—91no—
404C4×C22⋊C4—91no—
405C24×C3—21no—
406C24×C3—21no—
407C24×C3—31no—
408C24×C3—31no—
409C24×C3—31no—
410C24×C3—62no—
411C24×C3—62no—
412C24×C3—62no—
413C24×C3—62no—
414C24×C3—62no—
415C24×C3—121no—
416C24×C3—121no—
417C24×C3C22×D311yescharacteristic
418C24×C3C22×D311yescharacteristic
419C24×C3C22×D311yescharacteristic
420C24×C3C22×D311yescharacteristic
421C23×D3—22no—
422C23×D3—22no—
423C23×D3—22no—
424C23×D3—22no—
425C23×D3—22no—
426C23×D3—31no—
427C23×D3—31no—
428C23×D3—31no—
429C23×D3—31no—
430C23×D3—41no—
431C23×D3—41no—
432C23×D3—61no—
433C23×D3—61no—
434C23×D3—62no—
435C23×D3—62no—
436C23×D3—62no—
437C23×D3—62no—
438C23×D3—62no—
439C23×D3—62no—
440C23×D3—62no—
441C23×D3—62no—
442C23×D3—62no—
443C23×D3—62no—
444C23×D3—121no—
445C23×D3—121no—
446C23×D3—121no—
447C23×D3—121no—
448C23×D3C22×D311yescharacteristic
449C23×D3C22×D311yescharacteristic
450C23×D3C22×D311yescharacteristic
451C2×C3×D4—24no—
452C2×C3×D4—22no—
453C2×C3×D4—22no—
454C2×C3×D4—22no—
455C2×C3×D4—22no—
456C2×C3×D4—42no—
457C2×C3×D4—41no—
458C2×C3×D4—41no—
459C2×C3×D4—42no—
460C2×C3×D4—62no—
461C2×C3×D4—62no—
462C2×C3×D4—62no—
463C2×C3×D4—62no—
464C2×C3×D4—62no—
465C2×C3×D4—62no—
466C2×C3×D4—62no—
467C2×C3×D4—62no—
468C2×C3×D4—62no—
469C2×C3×D4—62no—
470C2×C3×D4—121no—
471C2×C3×D4—121no—
472C22×C3×C4—21no—
473C22×C3×C4—31no—
474C22×C3×C4—31no—
475C22×C3×C4—31no—
476C22×C3×C4—31no—
477C22×C3×C4—31no—
478C22×C3×C4C22×D311yescharacteristic
479C22×C3×C4C22×D311yescharacteristic
480C2×#67—22no—
481C2×#67—22no—
482C2×#67—22no—
483C2×#67—22no—
484C2×#67—22no—
485C2×#67—22no—
486C2×#67—22no—
487C2×#67—22no—
488C2×#67—22no—
489C2×#67—22no—
490C2×#67—34no—
491C2×#67—34no—
492C2×#67—34no—
493C2×#67—34no—
494C2×#67—41no—
495C2×#67—41no—
496C2×#67—64no—
497C2×#67—62no—
498C2×#67—62no—
499C2×#67—62no—
500C2×#67—62no—
501C2×#67—62no—
502C2×#67—62no—
503C2×#67—62no—
504C2×#67—62no—
505C2×#67—62no—
506C2×#67—62no—
507C2×#67—62no—
508C2×#67—62no—
509C2×#67—62no—
510C2×#67—62no—
511C2×#67—62no—
512C2×#67—62no—
513C2×#67—62no—
514C2×#67—62no—
515C2×#67—62no—
516C2×#67—62no—
517C2×#67—62no—
518C2×#67—62no—
519C2×#67—62no—
520C2×#67—62no—
521C2×#67—62no—
522C2×#67—632no—
523C2×#67—62no—
524C2×#67—62no—
525C2×#67—64no—
526C2×#67—64no—
527C2×#67—64no—
528C2×#67—62no—
529C2×#67—62no—
530C2×#67—62no—
531C2×#67—62no—
532C2×#67—62no—
533C2×#67—122no—
534C2×#67—122no—
535C2×#67—122no—
536C2×#67—122no—
537C2×#67—122no—
538C2×#67—122no—
539C2×#67—121no—
540C2×#67—121no—
541C2×#67—121no—
542C2×#67—121no—
543C2×#67—121no—
544C2×#67—121no—
545C2×#67—122no—
546C2×#67—122no—
547C22×Dic3—31no—
548C22×Dic3—31no—
549C22×Dic3—31no—
550C22×Dic3—31no—
551C22×Dic3—34no—
552C22×Dic3—61no—
553C22×Dic3—61no—
554C22×Dic3—62no—
555C22×Dic3—62no—
556C22×Dic3C22×D311yescharacteristic
557C22×Dic3C22×D311yescharacteristic
558C22×Dic3C22×D311yescharacteristic
559C22×Dic3C22×D311yescharacteristic
560C22×Dic3C22×D311yescharacteristic
561D3×D4—632no—
562C2×D12—62no—
563C2×D12—62no—
564C2×D12—62no—
565C2×D12—62no—
566C2×D12—62no—
567C2×D12—64no—
568C2×D12—62no—
569C2×D12—62no—
570C2×D12—62no—
571C2×D12—62no—
572C2×D12—62no—
573C2×D12—62no—
574C2×D12—62no—
575C2×D12—62no—
576C2×D12—62no—
577C2×D12—122no—
578C2×D12—121no—
579C2×D12—121no—
580C2×D12—122no—
581C2×D12—121no—
582C2×D12—121no—
583C2×C4×D3—34no—
584C2×C4×D3—62no—
585C2×C4×D3—62no—
586C3×C22⋊C4—34no—
587C3×C22⋊C4—62no—
588C3×C22⋊C4—62no—
589C3×C22⋊C4—62no—
590C3×C22⋊C4—62no—
591C3×C22⋊C4—62no—
592#217—22no—
593#217—22no—
594#217—22no—
595#217—34no—
596#217—62no—
597#217—62no—
598(C2×D3)⋊C4—22no—
599(C2×D3)⋊C4—22no—
600(C2×D3)⋊C4—34no—
601(C2×D3)⋊C4—62no—
602(C2×D3)⋊C4—62no—
603(C2×D3)⋊C4—62no—
604(C2×D3)⋊C4—62no—
605(C2×D3)⋊C4—62no—
606(C2×D3)⋊C4—62no—
607(C2×D3)⋊C4—62no—
608(C2×D3)⋊C4—62no—
609(C2×D3)⋊C4#6714yescomplemented
610Dic3⋊C4—62no—
611Dic3⋊C4—62no—
612C4×Dic3—62no—
613C4×Dic3—62no—
614C4×Dic3—62no—
615C4×Dic3—62no—
616C4×Dic3—64no—
617C22×C32—22no—
618C22×C32—22no—
619C22×C32—22no—
620C22×C32—41no—
621C22×C32—41no—
622C22×C32—41no—
623C22×C32—41no—
624C22×C32—41no—
625C22×C32—41no—
626C22×C32—41no—
627C22×C32—41no—
628C22×C32—41no—
629C22×C32—41no—
630C22×C32—41no—
631C22×C32C22×D411yescharacteristic
632C22×C32C22×D411yescharacteristic
633C22×C32C22×D411yescharacteristic
634C22×C32C22×D411yescharacteristic
635C22×C32C22×D411yescharacteristic
636C22×C32H(5,𝔽2)11yescharacteristic
637C22×C32H(5,𝔽2)11yescharacteristic
638C2×C3⋊D3—22no—
639C2×C3⋊D3—22no—
640C2×C3⋊D3—22no—
641C2×C3⋊D3—41no—
642C2×C3⋊D3—41no—
643C2×C3⋊D3—41no—
644C2×C3⋊D3—41no—
645C2×C3⋊D3—41no—
646C2×C3⋊D3—41no—
647C2×C3⋊D3—41no—
648C2×C3⋊D3—41no—
649C2×C3⋊D3—41no—
650C2×C3⋊D3—41no—
651C2×C3⋊D3—41no—
652C2×C3×D3—22no—
653C2×C3×D3—22no—
654C2×C3×D3—22no—
655C2×C3×D3—22no—
656C2×C3×D3—22no—
657C2×C3×D3—22no—
658C2×C3×D3—22no—
659C2×C3×D3—22no—
660C2×C3×D3—22no—
661C2×C3×D3—22no—
662C2×C3×D3—22no—
663C2×C3×D3—22no—
664C2×C3×D3—416no—
665C2×C3×D3—41no—
666C2×C3×D3—41no—
667C2×C3×D3—41no—
668C2×C3×D3—41no—
669C2×C3×D3—41no—
670C2×C3×D3—41no—
671C2×C3×D3—41no—
672C2×C3×D3—41no—
673C2×C3×D3#12714yescomplemented
674D32—416no—
675C32×C4—22no—
676C3⋊Dic3—22no—
677C3⋊Dic3#12014yescomplemented
678C3×Dic3—22no—
679C3×Dic3—22no—
680C3×Dic3—22no—
681C3×Dic3—41no—
682C3×Dic3—41no—
683C25—31no—
684C25—91no—
685C22×D4—31no—
686C22×D4—31no—
687C22×D4—31no—
688C22×D4—31no—
689C22×D4—91no—
690C22×D4—91no—
691C22×D4—91no—
692C22×D4—91no—
693C22×D4—91no—
694C22×D4—91no—
695C22×D4—91no—
696C22×D4—91no—
697C22×D4—91no—
698C22×D4—91no—
699C22×D4—184no—
700C22×D4—184no—
701C22×D4—184no—
702C22×D4D3211yescharacteristic, complemented
703C23×C4—91no—
704#127—184no—
705#127—184no—
706#121—184no—
707#120—64no—
708#120—184no—
709#120—184no—
710#120—184no—
711C2×C4⋊C4—91no—
712C2×C22⋊C4—31no—
713C2×C22⋊C4—31no—
714C2×C22⋊C4—31no—
715C2×C22⋊C4—31no—
716C2×C22⋊C4—31no—
717C2×C22⋊C4—31no—
718C2×C22⋊C4—91no—
719C2×C22⋊C4—91no—
720C2×C22⋊C4—91no—
721C2×C22⋊C4—91no—
722C2×C22⋊C4—91no—
723C2×C22⋊C4—91no—
724C2×C42—91no—
725C2×C42—91no—
726#95—31no—
727#95—91no—
728C23×C3—21no—
729C23×C3—21no—
730C23×C3—21no—
731C23×C3—21no—
732C23×C3—21no—
733C23×C3—21no—
734C23×C3—21no—
735C23×C3—21no—
736C23×C3—21no—
737C23×C3—21no—
738C23×C3—21no—
739C23×C3—21no—
740C23×C3—22no—
741C23×C3—21no—
742C23×C3—21no—
743C23×C3—21no—
744C23×C3—21no—
745C23×C3—21no—
746C23×C3—21no—
747C23×C3—21no—
748C23×C3—21no—
749C23×C3—21no—
750C23×C3—21no—
751C23×C3—21no—
752C23×C3—21no—
753C23×C3—21no—
754C23×C3—21no—
755C23×C3—21no—
756C23×C3—22no—
757C23×C3—32no—
758C23×C3—32no—
759C23×C3—32no—
760C23×C3—32no—
761C23×C3—32no—
762C23×C3—41no—
763C23×C3—41no—
764C23×C3—41no—
765C23×C3—41no—
766C23×C3—41no—
767C23×C3—41no—
768C23×C3—41no—
769C23×C3—41no—
770C23×C3—41no—
771C23×C3—41no—
772C23×C3—41no—
773C23×C3—41no—
774C23×C3—68no—
775C23×C3—61no—
776C23×C3—61no—
777C23×C3—61no—
778C23×C3—61no—
779C23×C3—61no—
780C23×C3—61no—
781C23×C3—61no—
782C23×C3—61no—
783C23×C3—61no—
784C23×C3—61no—
785C23×C3—61no—
786C23×C3—61no—
787C23×C3—61no—
788C23×C3—61no—
789C23×C3—61no—
790C23×C3—61no—
791C23×C3—124no—
792C23×C3—124no—
793C23×C3—124no—
794C23×C3—124no—
795C23×C3—124no—
796C23×C3—124no—
797C23×C3D3×D412yes—
798C23×C3D3×D412yes—
799C23×C3C23×D311yescharacteristic
800C23×C3C23×D311yescharacteristic
801C22×D3—21no—
802C22×D3—21no—
803C22×D3—21no—
804C22×D3—21no—
805C22×D3—28no—
806C22×D3—21no—
807C22×D3—21no—
808C22×D3—21no—
809C22×D3—21no—
810C22×D3—21no—
811C22×D3—21no—
812C22×D3—21no—
813C22×D3—21no—
814C22×D3—21no—
815C22×D3—21no—
816C22×D3—21no—
817C22×D3—21no—
818C22×D3—32no—
819C22×D3—32no—
820C22×D3—44no—
821C22×D3—44no—
822C22×D3—44no—
823C22×D3—44no—
824C22×D3—44no—
825C22×D3—44no—
826C22×D3—62no—
827C22×D3—68no—
828C22×D3—68no—
829C22×D3—61no—
830C22×D3—61no—
831C22×D3—61no—
832C22×D3—61no—
833C22×D3—61no—
834C22×D3—61no—
835C22×D3—61no—
836C22×D3—61no—
837C22×D3—61no—
838C22×D3—61no—
839C22×D3—61no—
840C22×D3—61no—
841C22×D3—62no—
842C22×D3—61no—
843C22×D3—61no—
844C22×D3—61no—
845C22×D3—61no—
846C22×D3—61no—
847C22×D3—61no—
848C22×D3—61no—
849C22×D3—61no—
850C22×D3—61no—
851C22×D3—61no—
852C22×D3—61no—
853C22×D3—61no—
854C22×D3—61no—
855C22×D3—61no—
856C22×D3—121no—
857C22×D3—121no—
858C22×D3—121no—
859C22×D3—121no—
860C22×D3—121no—
861C22×D3—121no—
862C22×D3—121no—
863C22×D3—121no—
864C22×D3—121no—
865C22×D3—121no—
866C22×D3—121no—
867C22×D3—121no—
868C22×D3—124no—
869C22×D3—124no—
870C22×D3—124no—
871C22×D3—124no—
872C22×D3—124no—
873C22×D3—124no—
874C22×D3—124no—
875C22×D3—124no—
876C22×D3—124no—
877C22×D3—124no—
878C22×D3—124no—
879C22×D3—124no—
880C22×D3D3×D412yes—
881C22×D3D3×D412yes—
882C22×D3D3×D412yes—
883C22×D3D3×D412yes—
884C22×D3C2×#6712yes—
885C3×D4—44no—
886C3×D4—44no—
887C3×D4—48no—
888C3×D4—68no—
889C3×D4—124no—
890C3×D4—124no—
891C3×D4—124no—
892C2×C3×C4—22no—
893C2×C3×C4—22no—
894C2×C3×C4—21no—
895C2×C3×C4—21no—
896C2×C3×C4—21no—
897C2×C3×C4—21no—
898C2×C3×C4—22no—
899C2×C3×C4—32no—
900C2×C3×C4—32no—
901C2×C3×C4—32no—
902C2×C3×C4—61no—
903C2×C3×C4—61no—
904C2×C3×C4—61no—
905C2×C3×C4—61no—
906C2×C3×C4—61no—
907C2×C3×C4—61no—
908C2×C3×C4—61no—
909C2×C3×C4—61no—
910C2×C3×C4—61no—
911C2×C3×C4—61no—
912C2×C3×C4—61no—
913C2×C3×C4—61no—
914C2×C3×C4D3×D412yescomplemented
915C2×C3×C4C2×#6712yescomplemented
916#67—28no—
917#67—44no—
918#67—44no—
919#67—44no—
920#67—68no—
921#67—68no—
922#67—68no—
923#67—68no—
924#67—68no—
925#67—128no—
926#67—124no—
927#67—124no—
928#67—124no—
929#67—124no—
930#67—124no—
931#67—124no—
932#67—124no—
933#67—124no—
934#67—124no—
935#67—128no—
936#67—128no—
937#67—128no—
938C2×Dic3—21no—
939C2×Dic3—21no—
940C2×Dic3—21no—
941C2×Dic3—21no—
942C2×Dic3—21no—
943C2×Dic3—21no—
944C2×Dic3—21no—
945C2×Dic3—21no—
946C2×Dic3—21no—
947C2×Dic3—21no—
948C2×Dic3—21no—
949C2×Dic3—21no—
950C2×Dic3—32no—
951C2×Dic3—32no—
952C2×Dic3—32no—
953C2×Dic3—32no—
954C2×Dic3—32no—
955C2×Dic3—32no—
956C2×Dic3—32no—
957C2×Dic3—32no—
958C2×Dic3—62no—
959C2×Dic3—62no—
960C2×Dic3—62no—
961C2×Dic3—62no—
962C2×Dic3—68no—
963C2×Dic3—62no—
964C2×Dic3—62no—
965C2×Dic3—61no—
966C2×Dic3—61no—
967C2×Dic3—61no—
968C2×Dic3—61no—
969C2×Dic3D3×D412yes—
970C2×Dic3D3×D412yescomplemented
971C2×Dic3C2×#6712yescomplemented
972D12—68no—
973D12—124no—
974D12—124no—
975D12—128no—
976D12—124no—
977D12—124no—
978D12—124no—
979C4×D3—68no—
980C2×C32—42no—
981C2×C32—81no—
982C2×C32C2×#12011yescharacteristic
983C2×C32C2×#12711yescharacteristic
984C2×C32#53511yescharacteristic
985C2×C32D4211yescharacteristic
986C2×C32D4211yescharacteristic
987C2×C32D4211yescharacteristic
988C2×C32D4211yescharacteristic
989C3⋊D3—42no—
990C3⋊D3—81no—
991C3×D3—24no—
992C3×D3—42no—
993C3×D3—42no—
994C24—31no—
995C24—31no—
996C24—31no—
997C24—62no—
998C24—62no—
999C24—62no—
1000C24—62no—
1001C24—62no—
1002C24—91no—
1003C24—91no—
1004C24—121no—
1005C24—121no—
1006C24—182no—
1007C24—182no—
1008C24—182no—
1009C24—182no—
1010C24—182no—
1011C24—361no—
1012C24—361no—
1013C24C2×D3211yescharacteristic
1014C24C2×D3211yescharacteristic
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—41no—
1018C2×D4—62no—
1019C2×D4—62no—
1020C2×D4—62no—
1021C2×D4—62no—
1022C2×D4—62no—
1023C2×D4—62no—
1024C2×D4—62no—
1025C2×D4—62no—
1026C2×D4—62no—
1027C2×D4—62no—
1028C2×D4—94no—
1029C2×D4—94no—
1030C2×D4—121no—
1031C2×D4—121no—
1032C2×D4—182no—
1033C2×D4—182no—
1034C2×D4—182no—
1035C2×D4—182no—
1036C2×D4—182no—
1037C2×D4—182no—
1038C2×D4—182no—
1039C2×D4—182no—
1040C2×D4—182no—
1041C2×D4—182no—
1042C2×D4—182no—
1043C2×D4—182no—
1044C2×D4—182no—
1045C2×D4—182no—
1046C2×D4—182no—
1047C2×D4—182no—
1048C2×D4—182no—
1049C2×D4—182no—
1050C2×D4—182no—
1051C2×D4—182no—
1052C2×D4—1832no—
1053C2×D4—182no—
1054C2×D4—182no—
1055C2×D4—182no—
1056C2×D4—361no—
1057C2×D4—361no—
1058C2×D4—361no—
1059C2×D4—361no—
1060C2×D4—361no—
1061C22×C4—31no—
1062C22×C4—31no—
1063C22×C4—31no—
1064C22×C4—31no—
1065C22×C4—31no—
1066C22×C4—94no—
1067C22×C4—91no—
1068C22×C4—91no—
1069C22×C4—182no—
1070C22×C4—182no—
1071C22×C4C2×D3211yescharacteristic
1072C4⋊C4—182no—
1073C22⋊C4—34no—
1074C22⋊C4—62no—
1075C22⋊C4—62no—
1076C22⋊C4—62no—
1077C22⋊C4—62no—
1078C22⋊C4—62no—
1079C22⋊C4—94no—
1080C22⋊C4—182no—
1081C22⋊C4—182no—
1082C22⋊C4—182no—
1083C22⋊C4—182no—
1084C22⋊C4—182no—
1085C42—182no—
1086C42—182no—
1087C22×C3—22no—
1088C22×C3—22no—
1089C22×C3—22no—
1090C22×C3—22no—
1091C22×C3—22no—
1092C22×C3—22no—
1093C22×C3—21no—
1094C22×C3—21no—
1095C22×C3—21no—
1096C22×C3—21no—
1097C22×C3—21no—
1098C22×C3—21no—
1099C22×C3—21no—
1100C22×C3—34no—
1101C22×C3—42no—
1102C22×C3—42no—
1103C22×C3—42no—
1104C22×C3—42no—
1105C22×C3—42no—
1106C22×C3—42no—
1107C22×C3—41no—
1108C22×C3—41no—
1109C22×C3—41no—
1110C22×C3—41no—
1111C22×C3—41no—
1112C22×C3—41no—
1113C22×C3—41no—
1114C22×C3—41no—
1115C22×C3—41no—
1116C22×C3—41no—
1117C22×C3—41no—
1118C22×C3—41no—
1119C22×C3—41no—
1120C22×C3—41no—
1121C22×C3—41no—
1122C22×C3—41no—
1123C22×C3—41no—
1124C22×C3—41no—
1125C22×C3—41no—
1126C22×C3—41no—
1127C22×C3—41no—
1128C22×C3—41no—
1129C22×C3—62no—
1130C22×C3—62no—
1131C22×C3—62no—
1132C22×C3—62no—
1133C22×C3—62no—
1134C22×C3—62no—
1135C22×C3—62no—
1136C22×C3—62no—
1137C22×C3—62no—
1138C22×C3—62no—
1139C22×C3—62no—
1140C22×C3—62no—
1141C22×C3—81no—
1142C22×C3—81no—
1143C22×C3—81no—
1144C22×C3—81no—
1145C22×C3—81no—
1146C22×C3—81no—
1147C22×C3—81no—
1148C22×C3—81no—
1149C22×C3—1216no—
1150C22×C3—121no—
1151C22×C3—121no—
1152C22×C3—121no—
1153C22×C3—121no—
1154C22×C3—121no—
1155C22×C3—121no—
1156C22×C3—121no—
1157C22×C3—121no—
1158C22×C3C2×D3×D411yescharacteristic
1159C22×C3C2×D3×D411yescharacteristic
1160C22×C3C2×D3×D411yescharacteristic
1161C22×C3C2×D3×D411yescharacteristic
1162C22×C3C2×D3×D411yescharacteristic
1163C22×C3C2×D3×D411yescharacteristic
1164C22×C3C2×D3×D411yescharacteristic
1165C22×C3C2×D3×D411yescharacteristic
1166C22×C3C2×D3×D411yescharacteristic
1167C22×C3#100411yescharacteristic
1168C22×C3#100411yescharacteristic
1169C22×C3#100411yescharacteristic
1170C22×C3#100911yescharacteristic
1171C22×C3C22×#6711yescharacteristic
1172C2×D3—22no—
1173C2×D3—22no—
1174C2×D3—22no—
1175C2×D3—22no—
1176C2×D3—22no—
1177C2×D3—22no—
1178C2×D3—22no—
1179C2×D3—22no—
1180C2×D3—22no—
1181C2×D3—22no—
1182C2×D3—22no—
1183C2×D3—22no—
1184C2×D3—416no—
1185C2×D3—41no—
1186C2×D3—41no—
1187C2×D3—41no—
1188C2×D3—41no—
1189C2×D3—41no—
1190C2×D3—41no—
1191C2×D3—41no—
1192C2×D3—41no—
1193C2×D3—62no—
1194C2×D3—62no—
1195C2×D3—62no—
1196C2×D3—62no—
1197C2×D3—62no—
1198C2×D3—62no—
1199C2×D3—122no—
1200C2×D3—122no—
1201C2×D3—122no—
1202C2×D3—1216no—
1203C2×D3—1216no—
1204C2×D3—121no—
1205C2×D3—121no—
1206C2×D3—121no—
1207C2×D3—121no—
1208C2×D3—121no—
1209C2×D3—121no—
1210C2×D3—121no—
1211C2×D3—121no—
1212C2×D3—122no—
1213C2×D3—122no—
1214C2×D3—122no—
1215C2×D3—121no—
1216C2×D3—121no—
1217C2×D3—121no—
1218C2×D3—121no—
1219C2×D3—121no—
1220C2×D3—121no—
1221C2×D3—121no—
1222C2×D3—121no—
1223C2×D3—121no—
1224C2×D3—121no—
1225C2×D3—121no—
1226C2×D3—121no—
1227C2×D3—121no—
1228C2×D3—121no—
1229C2×D3—241no—
1230C2×D3—241no—
1231C2×D3—241no—
1232C2×D3—241no—
1233C2×D3—241no—
1234C2×D3—241no—
1235C2×D3—241no—
1236C2×D3—241no—
1237C2×D3#94014yescomplemented
1238C3×C4—24no—
1239C3×C4—22no—
1240C3×C4—22no—
1241C3×C4—62no—
1242C3×C4—62no—
1243C3×C4—62no—
1244C3×C4—121no—
1245C3×C4—121no—
1246Dic3—22no—
1247Dic3—22no—
1248Dic3—22no—
1249Dic3—34no—
1250Dic3—34no—
1251Dic3—41no—
1252Dic3—41no—
1253Dic3—64no—
1254Dic3—64no—
1255Dic3—62no—
1256Dic3—62no—
1257C32#243311yescharacteristic, complemented, Sylow
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—32no—
1272C23—32no—
1273C23—32no—
1274C23—32no—
1275C23—32no—
1276C23—68no—
1277C23—61no—
1278C23—61no—
1279C23—61no—
1280C23—61no—
1281C23—61no—
1282C23—61no—
1283C23—61no—
1284C23—61no—
1285C23—61no—
1286C23—61no—
1287C23—61no—
1288C23—61no—
1289C23—61no—
1290C23—61no—
1291C23—61no—
1292C23—61no—
1293C23—92no—
1294C23—124no—
1295C23—124no—
1296C23—124no—
1297C23—124no—
1298C23—124no—
1299C23—124no—
1300C23—188no—
1301C23—181no—
1302C23—181no—
1303C23—181no—
1304C23—181no—
1305C23—181no—
1306C23—181no—
1307C23—181no—
1308C23—181no—
1309C23—181no—
1310C23—181no—
1311C23—181no—
1312C23—181no—
1313C23—181no—
1314C23—364no—
1315C23—364no—
1316C23—364no—
1317C23—364no—
1318C23—364no—
1319C23—364no—
1320C23#381112yes—
1321C23C22×D3211yescharacteristic
1322D4—44no—
1323D4—68no—
1324D4—124no—
1325D4—124no—
1326D4—124no—
1327D4—188no—
1328D4—188no—
1329D4—188no—
1330D4—364no—
1331D4—364no—
1332D4—364no—
1333D4—364no—
1334D4—364no—
1335D4—364no—
1336D4—364no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—32no—
1340C2×C4—32no—
1341C2×C4—32no—
1342C2×C4—61no—
1343C2×C4—61no—
1344C2×C4—61no—
1345C2×C4—61no—
1346C2×C4—61no—
1347C2×C4—61no—
1348C2×C4—61no—
1349C2×C4—61no—
1350C2×C4—61no—
1351C2×C4—61no—
1352C2×C4—61no—
1353C2×C4—61no—
1354C2×C4—92no—
1355C2×C4—92no—
1356C2×C4—92no—
1357C2×C4—92no—
1358C2×C4—188no—
1359C2×C4—181no—
1360C2×C4—181no—
1361C2×C4D3×#6712yescomplemented
1362C2×C3—21no—
1363C2×C3—21no—
1364C2×C3—21no—
1365C2×C3—21no—
1366C2×C3—21no—
1367C2×C3—21no—
1368C2×C3—21no—
1369C2×C3—42no—
1370C2×C3—42no—
1371C2×C3—64no—
1372C2×C3—82no—
1373C2×C3—82no—
1374C2×C3—81no—
1375C2×C3—81no—
1376C2×C3—122no—
1377C2×C3—122no—
1378C2×C3D3×#12011yescharacteristic
1379C2×C3D3×#12011yescharacteristic
1380C2×C3#559011yescharacteristic
1381C2×C3#559011yescharacteristic
1382C2×C3#559011yescharacteristic
1383C2×C3#559011yescharacteristic
1384C2×C3#559211yescharacteristic
1385C2×C3#560711yescharacteristic
1386C2×C3#560911yescharacteristic
1387C2×C3#560911yescharacteristic
1388C2×C3D3×#12711yescharacteristic
1389C2×C3D4×#6711yescharacteristic
1390C2×C3D4×#6711yescharacteristic
1391C2×C3C2×#94011yescharacteristic
1392D3—24no—
1393D3—42no—
1394D3—42no—
1395D3—122no—
1396D3—122no—
1397D3—242no—
1398D3—242no—
1399D3—241no—
1400D3—241no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—34no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—62no—
1417C22—62no—
1418C22—62no—
1419C22—62no—
1420C22—62no—
1421C22—62no—
1422C22—62no—
1423C22—62no—
1424C22—62no—
1425C22—62no—
1426C22—62no—
1427C22—62no—
1428C22—1216no—
1429C22—121no—
1430C22—121no—
1431C22—121no—
1432C22—121no—
1433C22—121no—
1434C22—121no—
1435C22—121no—
1436C22—121no—
1437C22—182no—
1438C22—182no—
1439C22—182no—
1440C22—3616no—
1441C22—361no—
1442C22—361no—
1443C22—361no—
1444C22—361no—
1445C22—361no—
1446C22—361no—
1447C22—361no—
1448C22—361no—
1449C22—361no—
1450C22—361no—
1451C22—361no—
1452C22D32×D411yescharacteristic
1453C22D32×D411yescharacteristic
1454C22D32×D411yescharacteristic
1455C22#6431411yescharacteristic
1456C22C2×D3×#6711yescharacteristic
1457C22C2×#381111yescharacteristic
1458C22#6433011yescharacteristic
1459C4—22no—
1460C4—62no—
1461C4—62no—
1462C4—62no—
1463C4—94no—
1464C4—121no—
1465C4—121no—
1466C4—182no—
1467C3—21no—
1468C3#7667311yescharacteristic, complemented
1469C3#8258811yescharacteristic, complemented
1470C2—42no—
1471C2—64no—
1472C2—81no—
1473C2—122no—
1474C2—122no—
1475C2—362no—
1476C2—721no—
1477C2#1059527811yescharacteristic
1478C2D3×#94011yescharacteristic
1479C2#1059528511yescharacteristic
1480C2#1059528811yescharacteristic
1481C2#1059528911yescharacteristic
1482C2#1059529211yescharacteristic
1483C2#1059552611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC22×C32×D4C22
hypercenterC22×D4D32
hypocenterC32#2433
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×D3×#67C2semidirect
2. C2×#64149C2semidirect
3. C2×C3×#937C2semidirect
4. C2×#63983C2semidirect
5. C2×#63979C2semidirect
6. C2×#63977C2semidirect
7. C2×#63971C2semidirect
8. C2×#63923C2semidirect
9. C3×#5223C2semidirect
10. #10591724C2semidirect
11. #10591724C2semidirect
12. #10591704C2semidirect
13. #10591395C2semidirect
14. #10591385C2semidirect
15. #10591368C2semidirect
20. C22×C32×D4C22semidirect
22. C22×#638C22semidirect
23. C22×#638C22semidirect
24. C22×#638C22semidirect
25. C22×C4⋊(C3⋊D3)C22semidirect
28. C22×C3×#67C22semidirect
29. C22×C3×#67C22semidirect
35. C22×#626C22semidirect
36. C22×#626C22semidirect
40. C2×C4×C3⋊Dic3C22semidirect
41. C2×C3×#217C22semidirect
42. C2×C3×#217C22semidirect
43. C2×C3×#217C22semidirect
46. C2×C3×(C2×D3)⋊C4C22semidirect
47. C2×C3×(C2×D3)⋊C4C22semidirect
52. C2×#3724C22semidirect
53. C2×#3722C22semidirect
54. C2×#3722C22semidirect
55. C2×#3722C22semidirect
57. C2×(C2×D3)⋊Dic3C22semidirect
58. C2×(C2×D3)⋊Dic3C22semidirect
59. C2×Dic32C22semidirect
61. C3×C3⋊#95C22semidirect
62. #63579C22semidirect
75. C2×#937D3semidirect
83. #5223D3semidirect
130. C2×#638D4semidirect
168. C2×#625D4semidirect
171. C2×D3×Dic3D4semidirect
178. C3×(C2×D3)⋊C4D4semidirect
185. (C2×D3)⋊Dic3D4semidirect
197. C22×C3×D4C2×D3semidirect
198. C22×C3×D4C2×D3semidirect
222. C22×#67C2×D3semidirect
223. C22×#67C2×D3semidirect
247. C2×#217C2×D3semidirect
248. C2×#217C2×D3semidirect
249. C2×#217C2×D3semidirect
269. C2×(C2×D3)⋊C4C2×D3semidirect
270. C2×(C2×D3)⋊C4C2×D3semidirect
285. C3⋊#95C2×D3semidirect
353. C2×C32×C4C2×D4semidirect
363. C2×C3⋊Dic3C2×D4semidirect
382. C2×C3×Dic3C2×D4semidirect
383. C2×C3×Dic3C2×D4semidirect
609. (C2×D3)⋊C4#67semidirect
673. C2×C3×D3#127semidirect
677. C3⋊Dic3#120semidirect
702. C22×D4D32semidirect
914. C2×C3×C4D3×D4semidirect
915. C2×C3×C4C2×#67semidirect
970. C2×Dic3D3×D4semidirect
971. C2×Dic3C2×#67semidirect
1237. C2×D3#940semidirect
1257. C32#2433semidirect
1361. C2×C4D3×#67semidirect
1468. C3#76673semidirect
1469. C3#82588semidirect

Maximal subgroups

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

subgroupindex
C22×D3×#672
C2×#641492
C2×C3×#9372
C2×#639832
C2×#639792
C2×#639772
C2×#639712
C2×#639232
C3×#52232
#105917242
#105917042
#105913952
#105913852
#105913682
#825883
#766733