Finite Group Databasebeta

← #11635130

Subgroups — #11635130

Order 768.

3752 conjugacy classes of subgroups.

The subgroup lattice has 2104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#546C211yesmaximal, characteristic, complemented
2C2×#5832C211yesmaximal, characteristic, complemented
3C2×D4×#67C211yesmaximal, characteristic, complemented
4C2×#5654C211yesmaximal, characteristic, complemented
5#84096C211yesmaximal, characteristic, complemented
6#84048C211yesmaximal, characteristic, complemented
7#83003C211yesmaximal, characteristic, complemented
8#82967C211yesmaximal, characteristic, complemented
9#82899C211yesmaximal, characteristic, complemented
10#82849C211yesmaximal, characteristic, complemented
11Dic3×#123C211yesmaximal, characteristic, complemented
12#82827C211yesmaximal, characteristic, complemented
13#82766C211yesmaximal, characteristic, complemented
14#82719C211yesmaximal, characteristic, complemented
15#82707C211yesmaximal, characteristic, complemented
16#82702C211yesmaximal, characteristic, complemented
17#82669C211yesmaximal, characteristic, complemented
18#82650C211yesmaximal, characteristic, complemented
19#82642C211yesmaximal, characteristic, complemented
20#82595C211yesmaximal, characteristic, complemented
21#82588C211yesmaximal, characteristic, complemented
22#82588C211yesmaximal, characteristic, complemented
23#82586C211yesmaximal, characteristic, complemented
24#82411C211yesmaximal, characteristic, complemented
25#82407C211yesmaximal, characteristic, complemented
26#82343C211yesmaximal, characteristic, complemented
27#82340C211yesmaximal, characteristic, complemented
28#82125C211yesmaximal, characteristic, complemented
29C22⋊C4×#67C211yesmaximal, characteristic, complemented
30#82109C211yesmaximal, characteristic, complemented
31C2×#4957C211yesmaximal, characteristic, complemented
32#59095—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C23×C3×D4C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C22×D3×D4C2211yescharacteristic
38C22×#235C2211yescharacteristic, complemented
39C3×#546—28no—
40C2×C3×#124C2211yescharacteristic, complemented
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×C22⋊Q8C2211yescharacteristic, complemented
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic, complemented
46C2×C3×#121C2211yescharacteristic, complemented
47C2×C3×#120C2211yescharacteristic, complemented
48C2×C3×#120C2211yescharacteristic, complemented
49C2×C3×C4×D4C2211yescharacteristic, complemented
50C2×C3×C4×D4C2211yescharacteristic, complemented
51C22×C3×C22⋊C4C2211yescharacteristic, complemented
52C22×C3×C22⋊C4C2211yescharacteristic, complemented
53C2×#953C2211yescharacteristic
54C2×#953C2211yescharacteristic
55C2×#953C2211yescharacteristic, complemented
56C2×#953C2211yescharacteristic, complemented
57C22×#217C2211yescharacteristic, complemented
58#5832—28no—
59C2×#947C2211yescharacteristic, complemented
60C2×#944C2211yescharacteristic, complemented
61C2×#940C2211yescharacteristic
62C2×#940C2211yescharacteristic
63C2×#940C2211yescharacteristic, complemented
64C2×#940C2211yescharacteristic, complemented
65C2×#939C2211yescharacteristic
66C2×#939C2211yescharacteristic
67C2×#939C2211yescharacteristic
68C2×#939C2211yescharacteristic, complemented
69C2×#939C2211yescharacteristic, complemented
70C2×#939C2211yescharacteristic, complemented
71C2×#939C2211yescharacteristic, complemented
72D4×#67—28no—
73C2×#938C2211yescharacteristic
74C2×#938C2211yescharacteristic, complemented
75C2×#937C2211yescharacteristic
76C2×#937C2211yescharacteristic
77C2×#937C2211yescharacteristic, complemented
78C2×#937C2211yescharacteristic, complemented
79C2×#936C2211yescharacteristic, complemented
80C2×D4×Dic3C2211yescharacteristic
81C2×#930C2211yescharacteristic
82C2×#930C2211yescharacteristic, complemented
83C2×C4×#67C2211yescharacteristic
84C2×C4×#67C2211yescharacteristic, complemented
85C2×C4×#67C2211yescharacteristic, complemented
86C2×C4×#67C2211yescharacteristic, complemented
87C2×C4×#67C2211yescharacteristic, complemented
88C2×C4×#67C2211yescharacteristic, complemented
89C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
90C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
91C22×Dic3⋊C4C2211yescharacteristic, complemented
92C22×C4×Dic3C2211yescharacteristic, complemented
93#5654—28no—
94C2×#896C2211yescharacteristic, complemented
95C2×#895C2211yescharacteristic, complemented
96C2×#894C2211yescharacteristic, complemented
97C2×#893C2211yescharacteristic, complemented
98C2×#885C2211yescharacteristic, complemented
99C2×#884C2211yescharacteristic, complemented
100C2×#882C2211yescharacteristic, complemented
101C2×#882C2211yescharacteristic, complemented
102C2×#67⋊C4C2211yescharacteristic, complemented
103C2×D3×C22⋊C4C2211yescharacteristic, complemented
104#5247C2211yescharacteristic, complemented
105#5231C2211yescharacteristic, complemented
106#5231C2211yescharacteristic, complemented
107#5223C2211yescharacteristic, complemented
108#5223C2211yescharacteristic, complemented
109#5223C2211yescharacteristic, complemented
110#5223C2211yescharacteristic, complemented
111#5223C2211yescharacteristic, complemented
112#5223C2211yescharacteristic, complemented
113#5223C2211yescharacteristic, complemented
114#5223C2211yescharacteristic, complemented
115#5222C2211yescharacteristic, complemented
116#5222C2211yescharacteristic, complemented
117#5222C2211yescharacteristic, complemented
118#5222C2211yescharacteristic, complemented
119#5221C2211yescharacteristic, complemented
120#5220C2211yescharacteristic
121#5220C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5213C2211yescharacteristic, complemented
124#5213C2211yescharacteristic, complemented
125#5213C2211yescharacteristic, complemented
126#5213C2211yescharacteristic, complemented
127#5213C2211yescharacteristic, complemented
128#5213C2211yescharacteristic, complemented
129#5213C2211yescharacteristic, complemented
130#5213C2211yescharacteristic, complemented
131#5211C2211yescharacteristic, complemented
132#5210C2211yescharacteristic, complemented
133#5210C2211yescharacteristic, complemented
134#4994C2211yescharacteristic, complemented
135#4994C2211yescharacteristic, complemented
136#4991C2211yescharacteristic, complemented
137#4991C2211yescharacteristic, complemented
138#4989C2211yescharacteristic, complemented
139#4989C2211yescharacteristic, complemented
140#4980C2211yescharacteristic, complemented
141#4980C2211yescharacteristic, complemented
142#4976C2211yescharacteristic, complemented
143#4976C2211yescharacteristic, complemented
144Dic3×C4⋊C4C2211yescharacteristic, complemented
145Dic3×C4⋊C4C2211yescharacteristic, complemented
146#4961C2211yescharacteristic, complemented
147#4961C2211yescharacteristic, complemented
148#4960C2211yescharacteristic, complemented
149#4960C2211yescharacteristic, complemented
150#4960C2211yescharacteristic, complemented
151#4960C2211yescharacteristic, complemented
152#4960C2211yescharacteristic, complemented
153#4960C2211yescharacteristic, complemented
154#4959C2211yescharacteristic, complemented
155#4959C2211yescharacteristic, complemented
156#4957C2211yescharacteristic
157#4957C2211yescharacteristic
158#4957C2211yescharacteristic
159#4957C2211yescharacteristic, complemented
160#4957C2211yescharacteristic, complemented
161#4957C2211yescharacteristic, complemented
162#4957C2211yescharacteristic, complemented
163#4957C2211yescharacteristic, complemented
164#4957C2211yescharacteristic, complemented
165#4957C2211yescharacteristic, complemented
166#4957C2211yescharacteristic, complemented
167#4957C2211yescharacteristic, complemented
168#4956C2211yescharacteristic, complemented
169#4956C2211yescharacteristic, complemented
170#4956C2211yescharacteristic, complemented
171#4956C2211yescharacteristic, complemented
172#4956C2211yescharacteristic, complemented
173#4956C2211yescharacteristic, complemented
174#4955C2211yescharacteristic, complemented
175#4951C2211yescharacteristic, complemented
176#4951C2211yescharacteristic, complemented
177#4950C2211yescharacteristic, complemented
178#4948C2211yescharacteristic, complemented
179#4948C2211yescharacteristic, complemented
180#4947C2211yescharacteristic, complemented
181#4947C2211yescharacteristic, complemented
182#4944C2211yescharacteristic, complemented
183#4944C2211yescharacteristic, complemented
184#4942C2211yescharacteristic, complemented
185Dic3×C22⋊C4C2211yescharacteristic, complemented
186Dic3×C22⋊C4C2211yescharacteristic, complemented
187Dic3×C22⋊C4C2211yescharacteristic, complemented
188#4940C2211yescharacteristic, complemented
189#4940C2211yescharacteristic, complemented
190#4939C2211yescharacteristic, complemented
191C4×Dic3⋊C4C2211yescharacteristic, complemented
192C2×#546—31no—
193C2×#546D311yescharacteristic, complemented
194C2×D42—31no—
195C2×#532—31no—
196#2676—31no—
197#2676—31no—
198#2670—31no—
199#2670—31no—
200#2541—31no—
201#2491—31no—
202#2456—31no—
203#2456—31no—
204#2452—31no—
205#2445—31no—
206#2433—31no—
207#2433—31no—
208#2428—31no—
209#2424—31no—
210#2424—31no—
211#2424—31no—
212#2424—31no—
213#2416—31no—
214#2410—31no—
215#2410—31no—
216#2404—31no—
217#2404—31no—
218#2366—31no—
219#2361—31no—
220D4×C22⋊C4—31no—
221C4×#123—31no—
222C2×#390—31no—
223C25×C3C2311yescharacteristic
224C25×C3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C24×D3C2311yescharacteristic
227C2×C3×#41—24no—
228C2×C3×#41—24no—
229C2×C3×#41—42no—
230C22×C3×Q8C2311yescharacteristic
231C22×C3×D4—24no—
232C22×C3×D4—24no—
233C22×C3×D4—42no—
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C23×C3×C4C2311yescharacteristic
247C23×C3×C4C2311yescharacteristic
248C23×C3×C4C2311yescharacteristic
249C22×#67—24no—
250C22×#67—24no—
251C22×#67—24no—
252C22×#67—24no—
253C22×#67—42no—
254C22×#67—42no—
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C22×#67C2311yescharacteristic
265C22×#67C2311yescharacteristic
266C22×#67C2311yescharacteristic
267C22×#67C2311yescharacteristic
268C22×#67C2311yescharacteristic
269C22×#67C2311yescharacteristic
270C22×#67C2311yescharacteristic
271C22×#67C2311yescharacteristic
272C22×#67C2311yescharacteristic
273C22×#67C2311yescharacteristic
274C22×#67C2311yescharacteristic
275C23×Dic3C2311yescharacteristic
276C23×Dic3C2311yescharacteristic
277C23×Dic3C2311yescharacteristic
278C23×Dic3C2311yescharacteristic
279C2×D3×D4—24no—
280C2×D3×D4—24no—
281C2×D3×D4—42no—
282C2×#235—24no—
283C2×#235—24no—
284C2×#235—42no—
285C22×D12C2311yescharacteristic
286C22×D12C2311yescharacteristic
287C22×D12C2311yescharacteristic
288C22×D12C2311yescharacteristic
289C22×C4×D3C2311yescharacteristic
290C22×C4×D3C2311yescharacteristic
291C22×C4×D3C2311yescharacteristic
292C22×C4×D3C2311yescharacteristic
293C22×Dic6C2311yescharacteristic
294C3×#124—24no—
295C3×#123—24no—
296C3×#123D418yescomplemented
297C3×C22⋊Q8—24no—
298C3×#121—24no—
299C3×#121—24no—
300C3×#121—24no—
301C3×#120—24no—
302C3×#120—24no—
303C3×C4×D4—24no—
304C3×C4×D4—24no—
305C2×C3×C4⋊C4C2311yescharacteristic
306C2×C3×C4⋊C4C2311yescharacteristic
307C2×C3×C4⋊C4C2311yescharacteristic
308C2×C3×C4⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4—24no—
310C2×C3×C22⋊C4—24no—
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C22⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C22⋊C4C2311yescharacteristic
319C2×C3×C22⋊C4C2311yescharacteristic
320C2×C3×C22⋊C4C2311yescharacteristic
321C2×C3×C22⋊C4C2311yescharacteristic
322C2×C3×C22⋊C4C2311yescharacteristic
323C2×C3×C42C2311yescharacteristic
324#953—24no—
325#953—24no—
326#953—42no—
327#953—42no—
328C2×#217—42no—
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341C2×#217C2311yescharacteristic
342C2×#217C2311yescharacteristic
343C2×#217C2311yescharacteristic
344C2×#217C2311yescharacteristic
345C2×#217C2311yescharacteristic
346C2×#217C2311yescharacteristic
347C2×#217C2311yescharacteristic
348C2×#217C2311yescharacteristic
349C2×#217C2311yescharacteristic
350C2×#217C2311yescharacteristic
351#947—24no—
352#944—24no—
353#940—24no—
354#940—24no—
355#940—24no—
356#940—42no—
357#939—24no—
358#939—24no—
359#939—24no—
360#939—24no—
361#939—24no—
362#939—42no—
363#939D418yescomplemented
364#938—24no—
365#938—42no—
366#937—24no—
367#937—24no—
368#937—42no—
369#937—42no—
370#936—24no—
371D4×Dic3—24no—
372#930—24no—
373#930—42no—
374C4×#67—24no—
375C4×#67—24no—
376C4×#67—24no—
377C4×#67—24no—
378C4×#67—24no—
379C4×#67—42no—
380C2×(C2×D3)⋊C4—24no—
381C2×(C2×D3)⋊C4—42no—
382C2×(C2×D3)⋊C4C2311yescharacteristic
383C2×(C2×D3)⋊C4C2311yescharacteristic
384C2×(C2×D3)⋊C4C2311yescharacteristic
385C2×(C2×D3)⋊C4C2311yescharacteristic
386C2×(C2×D3)⋊C4C2311yescharacteristic
387C2×(C2×D3)⋊C4C2311yescharacteristic
388C2×(C2×D3)⋊C4C2311yescharacteristic
389C2×(C2×D3)⋊C4C2311yescharacteristic
390C2×(C2×D3)⋊C4C2311yescharacteristic
391C2×(C2×D3)⋊C4C2311yescharacteristic
392C2×(C2×D3)⋊C4C2311yescharacteristic
393C2×(C2×D3)⋊C4C2311yescharacteristic
394C2×(C2×D3)⋊C4C2311yescharacteristic
395C2×(C2×D3)⋊C4C2311yescharacteristic
396C2×(C2×D3)⋊C4C2311yescharacteristic
397C2×(C2×D3)⋊C4C2311yescharacteristic
398C2×(C2×D3)⋊C4C2311yescharacteristic
399C2×(C2×D3)⋊C4C2311yescharacteristic
400C2×(C2×D3)⋊C4C2311yescharacteristic
401C2×(C2×D3)⋊C4C2311yescharacteristic
402C2×(C2×D3)⋊C4C2311yescharacteristic
403C2×(C2×D3)⋊C4C2311yescharacteristic
404C2×(C2×D3)⋊C4C2311yescharacteristic
405C2×(C2×D3)⋊C4C2311yescharacteristic
406C2×C4⋊Dic3C2311yescharacteristic
407C2×C4⋊Dic3C2311yescharacteristic
408C2×C4⋊Dic3C2311yescharacteristic
409C2×Dic3⋊C4—42no—
410C2×Dic3⋊C4C2311yescharacteristic
411C2×Dic3⋊C4C2311yescharacteristic
412C2×Dic3⋊C4C2311yescharacteristic
413C2×Dic3⋊C4C2311yescharacteristic
414C2×Dic3⋊C4C2311yescharacteristic
415C2×Dic3⋊C4C2311yescharacteristic
416C2×Dic3⋊C4C2311yescharacteristic
417C2×Dic3⋊C4C2311yescharacteristic
418C2×Dic3⋊C4C2311yescharacteristic
419C2×Dic3⋊C4C2311yescharacteristic
420C2×C4×Dic3—24no—
421C2×C4×Dic3C2311yescharacteristic
422C2×C4×Dic3C2311yescharacteristic
423C2×C4×Dic3C2311yescharacteristic
424C2×C4×Dic3C2311yescharacteristic
425C2×C4×Dic3C2311yescharacteristic
426C2×C4×Dic3C2311yescharacteristic
427C2×C4×Dic3C2311yescharacteristic
428C2×C4×Dic3C2311yescharacteristic
429#896—24no—
430#895—24no—
431#894—24no—
432#893—24no—
433#885—24no—
434#884—24no—
435#882—24no—
436#882—24no—
437#67⋊C4—24no—
438D3×C22⋊C4—24no—
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C3⋊#95C2311yescharacteristic
452C3⋊#95C2311yescharacteristic
453C3⋊#95C2311yescharacteristic
454C3⋊#95C2311yescharacteristic
455C3⋊#95C2311yescharacteristic
456C3⋊#95C2311yescharacteristic
457C22×#41—31no—
458C22×#41C2×D311yescharacteristic, complemented
459C23×D4—31no—
460C23×D4—31no—
461C23×D4—31no—
462C23×D4C2×D311yescharacteristic
463#546—28no—
464#546—68no—
465D42—68no—
466#532—68no—
467C2×C4⋊Q8—31no—
468C2×#127—31no—
469C2×#127—31no—
470C2×#127—31no—
471C2×#127—31no—
472C2×#124—31no—
473C2×#124—31no—
474C2×#124—31no—
475C2×#124C2×D311yescharacteristic, complemented
476C2×#123—31no—
477C2×#123C2×D311yescharacteristic
478C2×#123C2×D311yescharacteristic, complemented
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8C2×D311yescharacteristic, complemented
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—31no—
494C2×#121C2×D311yescharacteristic
495C2×#121C2×D311yescharacteristic, complemented
496C2×#121C2×D311yescharacteristic, complemented
497C2×#120—31no—
498C2×#120—31no—
499C2×#120—31no—
500C2×#120—31no—
501C2×#120—31no—
502C2×#120—31no—
503C2×#120—31no—
504C2×#120—31no—
505C2×#120—31no—
506C2×#120—31no—
507C2×#120C2×D311yescharacteristic, complemented
508C2×#120C2×D311yescharacteristic, complemented
509C2×C4×D4—31no—
510C2×C4×D4—31no—
511C2×C4×D4—31no—
512C2×C4×D4—31no—
513C2×C4×D4—31no—
514C2×C4×D4—31no—
515C2×C4×D4—31no—
516C2×C4×D4—31no—
517C2×C4×D4—31no—
518C2×C4×D4C2×D311yescharacteristic, complemented
519C2×C4×D4C2×D311yescharacteristic, complemented
520C22×C4⋊C4—31no—
521C22×C22⋊C4—31no—
522C22×C22⋊C4—31no—
523C22×C22⋊C4—31no—
524C22×C22⋊C4—31no—
525C22×C22⋊C4C2×D311yescharacteristic, complemented
526C22×C22⋊C4C2×D311yescharacteristic, complemented
527C22×C42—31no—
528#396—31no—
529#396—31no—
530#396—31no—
531#396—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#394—31no—
539#394—31no—
540#394—31no—
541#394—31no—
542#393—31no—
543#393—31no—
544#393—31no—
545#393—31no—
546#392—31no—
547#392—31no—
548#392—31no—
549#392—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392—31no—
554#392—31no—
555#392—31no—
556#392—31no—
557#392—31no—
558#392—31no—
559#392—31no—
560#390—31no—
561#390—31no—
562#390—31no—
563#390—31no—
564#390—31no—
565#390—31no—
566#390—31no—
567#390—31no—
568#390—31no—
569#390—31no—
570#390—31no—
571#390—31no—
572#390—31no—
573#390—31no—
574#389—31no—
575#389—31no—
576#388—31no—
577#388—31no—
578#388—31no—
579#388—31no—
580#388—31no—
581#388—31no—
582#387—31no—
583#387—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386—31no—
589#386—31no—
590#386—31no—
591#386—31no—
592#386—31no—
593#386—31no—
594#386—31no—
595#386—31no—
596#386—31no—
597#386—31no—
598#386—31no—
599#386—31no—
600#386—31no—
601#385—31no—
602#385—31no—
603#385—31no—
604#385—31no—
605#385—31no—
606#381—31no—
607#380—31no—
608#379—31no—
609#379—31no—
610C4×C4⋊C4—31no—
611C4×C4⋊C4—31no—
612C4×C4⋊C4—31no—
613C4×C22⋊C4—31no—
614C4×C22⋊C4—31no—
615C4×C22⋊C4—31no—
616C24×C3—22no—
617C24×C3—22no—
618C24×C3—22no—
619C24×C3—22no—
620C24×C3—22no—
621C24×C3—22no—
622C24×C3—22no—
623C24×C3—41no—
624C24×C3—41no—
625C24×C3—41no—
626C24×C3—41no—
627C24×C3—41no—
628C24×C3—41no—
629C24×C3—41no—
630C24×C3C2411yescharacteristic
631C24×C3C2411yescharacteristic
632C24×C3C2411yescharacteristic
633C24×C3C2411yescharacteristic
634C24×C3C2411yescharacteristic
635C24×C3C2411yescharacteristic
636C23×D3—22no—
637C23×D3—22no—
638C23×D3—22no—
639C23×D3—22no—
640C23×D3—22no—
641C23×D3—22no—
642C23×D3—22no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3—41no—
646C23×D3—41no—
647C23×D3—41no—
648C23×D3—41no—
649C23×D3—41no—
650C23×D3C2411yescharacteristic
651C23×D3C2411yescharacteristic
652C23×D3C2411yescharacteristic
653C23×D3C2411yescharacteristic
654C3×#41—416no—
655C2×C3×Q8—22no—
656C2×C3×Q8—22no—
657C2×C3×Q8—41no—
658C2×C3×D4—22no—
659C2×C3×D4—22no—
660C2×C3×D4—22no—
661C2×C3×D4—22no—
662C2×C3×D4—22no—
663C2×C3×D4—22no—
664C2×C3×D4—22no—
665C2×C3×D4—22no—
666C2×C3×D4—22no—
667C2×C3×D4—22no—
668C2×C3×D4—22no—
669C2×C3×D4—22no—
670C2×C3×D4—22no—
671C2×C3×D4—22no—
672C2×C3×D4—22no—
673C2×C3×D4—22no—
674C2×C3×D4—22no—
675C2×C3×D4—41no—
676C2×C3×D4—41no—
677C2×C3×D4—41no—
678C2×C3×D4—41no—
679C2×C3×D4—41no—
680C2×C3×D4—41no—
681C2×C3×D4—41no—
682C2×C3×D4—41no—
683C2×C3×D4—416no—
684C2×C3×D4C2×D414yes—
685C2×C3×D4C2×D414yes—
686C22×C3×C4—22no—
687C22×C3×C4—22no—
688C22×C3×C4—22no—
689C22×C3×C4—22no—
690C22×C3×C4—22no—
691C22×C3×C4—22no—
692C22×C3×C4—22no—
693C22×C3×C4—22no—
694C22×C3×C4—22no—
695C22×C3×C4—22no—
696C22×C3×C4—41no—
697C22×C3×C4—41no—
698C22×C3×C4—41no—
699C22×C3×C4—41no—
700C22×C3×C4—41no—
701C22×C3×C4—41no—
702C22×C3×C4—41no—
703C22×C3×C4C2×D414yescomplemented
704C22×C3×C4C2411yescharacteristic
705C22×C3×C4C2411yescharacteristic
706C22×C3×C4C2411yescharacteristic
707C22×C3×C4C2411yescharacteristic
708C22×C3×C4C2411yescharacteristic
709C22×C3×C4C2411yescharacteristic
710C22×C3×C4C2411yescharacteristic
711C22×C3×C4C2411yescharacteristic
712C22×C3×C4C2411yescharacteristic
713C2×#67—22no—
714C2×#67—22no—
715C2×#67—22no—
716C2×#67—22no—
717C2×#67—22no—
718C2×#67—22no—
719C2×#67—22no—
720C2×#67—22no—
721C2×#67—22no—
722C2×#67—22no—
723C2×#67—22no—
724C2×#67—22no—
725C2×#67—22no—
726C2×#67—22no—
727C2×#67—22no—
728C2×#67—22no—
729C2×#67—22no—
730C2×#67—22no—
731C2×#67—22no—
732C2×#67—22no—
733C2×#67—22no—
734C2×#67—22no—
735C2×#67—22no—
736C2×#67—22no—
737C2×#67—22no—
738C2×#67—22no—
739C2×#67—22no—
740C2×#67—22no—
741C2×#67—22no—
742C2×#67—22no—
743C2×#67—22no—
744C2×#67—22no—
745C2×#67—22no—
746C2×#67—22no—
747C2×#67—416no—
748C2×#67—41no—
749C2×#67—41no—
750C2×#67—41no—
751C2×#67—41no—
752C2×#67—41no—
753C2×#67—41no—
754C2×#67—41no—
755C2×#67—41no—
756C2×#67—41no—
757C2×#67—41no—
758C2×#67—41no—
759C2×#67—41no—
760C2×#67—41no—
761C2×#67—41no—
762C2×#67—41no—
763C2×#67—41no—
764C2×#67—41no—
765C2×#67—41no—
766C2×#67—41no—
767C2×#67—41no—
768C2×#67—41no—
769C2×#67—41no—
770C2×#67—41no—
771C2×#67—416no—
772C2×#67C2×D414yes—
773C2×#67C2×D414yes—
774C2×#67#4114yescomplemented
775C22×Dic3—22no—
776C22×Dic3—22no—
777C22×Dic3—22no—
778C22×Dic3—22no—
779C22×Dic3—22no—
780C22×Dic3—22no—
781C22×Dic3—22no—
782C22×Dic3—22no—
783C22×Dic3—41no—
784C22×Dic3—41no—
785C22×Dic3—41no—
786C22×Dic3C2×D414yes—
787C22×Dic3C2411yescharacteristic
788C22×Dic3C2411yescharacteristic
789C22×Dic3C2411yescharacteristic
790C22×Dic3C2411yescharacteristic
791C22×Dic3C2411yescharacteristic
792C22×Dic3C2411yescharacteristic
793C22×Dic3C2411yescharacteristic
794C22×Dic3C2411yescharacteristic
795C22×Dic3C2411yescharacteristic
796C22×Dic3C2411yescharacteristic
797C22×Dic3C2411yescharacteristic
798C22×Dic3C2411yescharacteristic
799D3×D4—416no—
800#235—416no—
801C2×D12—22no—
802C2×D12—22no—
803C2×D12—22no—
804C2×D12—22no—
805C2×D12—22no—
806C2×D12—22no—
807C2×D12—22no—
808C2×D12—41no—
809C2×D12—41no—
810C2×D12—41no—
811C2×D12—41no—
812C2×D12—41no—
813C2×C4×D3—22no—
814C2×C4×D3—22no—
815C2×C4×D3—22no—
816C2×C4×D3—22no—
817C2×C4×D3—22no—
818C2×C4×D3—22no—
819C2×C4×D3—22no—
820C2×C4×D3—41no—
821C2×C4×D3—41no—
822C2×C4×D3—41no—
823C2×C4×D3—41no—
824C2×C4×D3—41no—
825C2×Dic6—22no—
826C2×Dic6—22no—
827C2×Dic6—41no—
828C3×C4⋊C4—22no—
829C3×C4⋊C4—22no—
830C3×C4⋊C4C2×D414yescomplemented
831C3×C4⋊C4C2×D414yescomplemented
832C3×C22⋊C4—22no—
833C3×C22⋊C4—22no—
834C3×C22⋊C4—22no—
835C3×C22⋊C4—22no—
836C3×C22⋊C4—22no—
837C3×C22⋊C4—22no—
838C3×C22⋊C4—22no—
839C3×C22⋊C4—22no—
840C3×C22⋊C4—22no—
841C3×C22⋊C4C2×D414yescomplemented
842C3×C22⋊C4C2×D414yescomplemented
843C3×C22⋊C4C2×D414yescomplemented
844C3×C42—22no—
845#217—22no—
846#217—22no—
847#217—22no—
848#217—22no—
849#217—22no—
850#217—22no—
851#217—22no—
852#217—22no—
853#217—22no—
854#217—22no—
855#217—22no—
856#217—22no—
857#217—41no—
858#217—41no—
859#217—41no—
860#217—41no—
861#217—41no—
862#217—41no—
863#217—41no—
864#217—41no—
865#217—41no—
866#217C2×D414yes—
867(C2×D3)⋊C4—22no—
868(C2×D3)⋊C4—22no—
869(C2×D3)⋊C4—22no—
870(C2×D3)⋊C4—22no—
871(C2×D3)⋊C4—22no—
872(C2×D3)⋊C4—22no—
873(C2×D3)⋊C4—22no—
874(C2×D3)⋊C4—22no—
875(C2×D3)⋊C4—22no—
876(C2×D3)⋊C4—22no—
877(C2×D3)⋊C4—22no—
878(C2×D3)⋊C4—22no—
879(C2×D3)⋊C4—22no—
880(C2×D3)⋊C4—22no—
881(C2×D3)⋊C4—22no—
882(C2×D3)⋊C4—41no—
883(C2×D3)⋊C4—41no—
884(C2×D3)⋊C4—41no—
885(C2×D3)⋊C4—41no—
886(C2×D3)⋊C4—41no—
887(C2×D3)⋊C4—41no—
888(C2×D3)⋊C4—41no—
889(C2×D3)⋊C4—41no—
890(C2×D3)⋊C4C2×D414yes—
891C4⋊Dic3—22no—
892C4⋊Dic3—22no—
893C4⋊Dic3—41no—
894Dic3⋊C4—22no—
895Dic3⋊C4—22no—
896Dic3⋊C4—22no—
897Dic3⋊C4—22no—
898Dic3⋊C4—22no—
899Dic3⋊C4—22no—
900Dic3⋊C4—22no—
901Dic3⋊C4—41no—
902Dic3⋊C4—41no—
903Dic3⋊C4C2×D414yes—
904C4×Dic3—22no—
905C4×Dic3—22no—
906C4×Dic3—22no—
907C4×Dic3—22no—
908C4×Dic3—22no—
909C4×Dic3—22no—
910C4×Dic3—22no—
911C4×Dic3—22no—
912C25—31no—
913C25—31no—
914C25C22×D311yescharacteristic
915C25C22×D311yescharacteristic
916C2×#41—24no—
917C2×#41—24no—
918C2×#41—42no—
919C2×#41—64no—
920C2×#41—64no—
921C2×#41—122no—
922C22×Q8—31no—
923C22×Q8C22×D311yescharacteristic
924C22×D4—24no—
925C22×D4—24no—
926C22×D4—31no—
927C22×D4—31no—
928C22×D4—31no—
929C22×D4—31no—
930C22×D4—31no—
931C22×D4—31no—
932C22×D4—31no—
933C22×D4—31no—
934C22×D4—31no—
935C22×D4—31no—
936C22×D4—31no—
937C22×D4—31no—
938C22×D4—31no—
939C22×D4—31no—
940C22×D4—31no—
941C22×D4—31no—
942C22×D4—31no—
943C22×D4—31no—
944C22×D4—31no—
945C22×D4—31no—
946C22×D4—31no—
947C22×D4—31no—
948C22×D4—31no—
949C22×D4—31no—
950C22×D4—42no—
951C22×D4—64no—
952C22×D4—64no—
953C22×D4—64no—
954C22×D4—64no—
955C22×D4—64no—
956C22×D4—64no—
957C22×D4—122no—
958C22×D4—122no—
959C22×D4—122no—
960C22×D4C22×D311yescharacteristic
961C22×D4C22×D311yescharacteristic
962C22×D4C22×D311yescharacteristic
963C22×D4C22×D311yescharacteristic
964C22×D4C22×D311yescharacteristic
965C22×D4C22×D311yescharacteristic
966C22×D4C22×D311yescharacteristic
967C22×D4C22×D311yescharacteristic
968C22×D4C22×D311yescharacteristic
969C23×C4—31no—
970C23×C4—31no—
971C23×C4—31no—
972C23×C4—31no—
973C23×C4—31no—
974C23×C4—31no—
975C23×C4—31no—
976C23×C4—31no—
977C23×C4C22×D311yescharacteristic
978C23×C4C22×D311yescharacteristic
979C23×C4C22×D311yescharacteristic
980C23×C4C22×D311yescharacteristic
981C23×C4C22×D311yescharacteristic
982C23×C4C22×D311yescharacteristic
983C4⋊Q8—64no—
984#127—64no—
985#127—64no—
986#127—64no—
987#127—122no—
988#124—24no—
989#124—64no—
990#124—64no—
991#124—64no—
992#123—24no—
993#123—64no—
994#123#6718yescomplemented
995C22⋊Q8—24no—
996C22⋊Q8—64no—
997#121—24no—
998#121—24no—
999#121—24no—
1000#121—38no—
1001#121—64no—
1002#121—64no—
1003#121—64no—
1004#121—64no—
1005#121—64no—
1006#121—64no—
1007#121—64no—
1008#121—64no—
1009#121—64no—
1010#121—122no—
1011#121—122no—
1012#121—122no—
1013#120—24no—
1014#120—24no—
1015#120—64no—
1016#120—64no—
1017#120—64no—
1018#120—64no—
1019#120—64no—
1020#120—64no—
1021#120—122no—
1022#120—122no—
1023#120—122no—
1024#120—122no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—64no—
1028C4×D4—64no—
1029C4×D4—64no—
1030C4×D4—64no—
1031C4×D4—64no—
1032C4×D4—64no—
1033C4×D4—64no—
1034C4×D4—64no—
1035C4×D4—122no—
1036C2×C4⋊C4—31no—
1037C2×C4⋊C4—31no—
1038C2×C4⋊C4—31no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—31no—
1041C2×C4⋊C4—31no—
1042C2×C4⋊C4—31no—
1043C2×C4⋊C4—31no—
1044C2×C4⋊C4—31no—
1045C2×C4⋊C4—31no—
1046C2×C4⋊C4—31no—
1047C2×C4⋊C4—31no—
1048C2×C4⋊C4—31no—
1049C2×C4⋊C4—122no—
1050C2×C4⋊C4C22×D311yescharacteristic
1051C2×C4⋊C4C22×D311yescharacteristic
1052C2×C4⋊C4C22×D311yescharacteristic
1053C2×C4⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—31no—
1057C2×C22⋊C4—31no—
1058C2×C22⋊C4—31no—
1059C2×C22⋊C4—31no—
1060C2×C22⋊C4—31no—
1061C2×C22⋊C4—31no—
1062C2×C22⋊C4—31no—
1063C2×C22⋊C4—31no—
1064C2×C22⋊C4—31no—
1065C2×C22⋊C4—31no—
1066C2×C22⋊C4—31no—
1067C2×C22⋊C4—31no—
1068C2×C22⋊C4—31no—
1069C2×C22⋊C4—31no—
1070C2×C22⋊C4—31no—
1071C2×C22⋊C4—31no—
1072C2×C22⋊C4—31no—
1073C2×C22⋊C4—31no—
1074C2×C22⋊C4—31no—
1075C2×C22⋊C4—31no—
1076C2×C22⋊C4—31no—
1077C2×C22⋊C4—31no—
1078C2×C22⋊C4—31no—
1079C2×C22⋊C4—31no—
1080C2×C22⋊C4—31no—
1081C2×C22⋊C4—31no—
1082C2×C22⋊C4—31no—
1083C2×C22⋊C4—31no—
1084C2×C22⋊C4—31no—
1085C2×C22⋊C4—31no—
1086C2×C22⋊C4—31no—
1087C2×C22⋊C4—31no—
1088C2×C22⋊C4—31no—
1089C2×C22⋊C4—31no—
1090C2×C22⋊C4—31no—
1091C2×C22⋊C4—31no—
1092C2×C22⋊C4—31no—
1093C2×C22⋊C4—31no—
1094C2×C22⋊C4—31no—
1095C2×C22⋊C4—31no—
1096C2×C22⋊C4—31no—
1097C2×C22⋊C4—31no—
1098C2×C22⋊C4—31no—
1099C2×C22⋊C4—31no—
1100C2×C22⋊C4—31no—
1101C2×C22⋊C4—31no—
1102C2×C22⋊C4—64no—
1103C2×C22⋊C4—64no—
1104C2×C22⋊C4—122no—
1105C2×C22⋊C4—122no—
1106C2×C22⋊C4C22×D311yescharacteristic
1107C2×C22⋊C4C22×D311yescharacteristic
1108C2×C22⋊C4C22×D311yescharacteristic
1109C2×C22⋊C4C22×D311yescharacteristic
1110C2×C22⋊C4C22×D311yescharacteristic
1111C2×C22⋊C4C22×D311yescharacteristic
1112C2×C22⋊C4C22×D311yescharacteristic
1113C2×C22⋊C4C22×D311yescharacteristic
1114C2×C22⋊C4C22×D311yescharacteristic
1115C2×C22⋊C4C22×D311yescharacteristic
1116C2×C22⋊C4C22×D311yescharacteristic
1117C2×C22⋊C4C22×D311yescharacteristic
1118C2×C42—31no—
1119C2×C42—31no—
1120C2×C42—31no—
1121C2×C42—31no—
1122C2×C42—31no—
1123C2×C42—31no—
1124C2×C42—31no—
1125C2×C42—31no—
1126C2×C42—64no—
1127C2×C42C22×D311yescharacteristic
1128#95—31no—
1129#95—31no—
1130#95—31no—
1131#95—31no—
1132#95—31no—
1133#95—31no—
1134#95—31no—
1135#95—31no—
1136#95—31no—
1137#95—31no—
1138#95—31no—
1139#95—31no—
1140#95—31no—
1141#95—31no—
1142#95—31no—
1143#95—31no—
1144#95—31no—
1145#95—31no—
1146C23×C3—21no—
1147C23×C3—21no—
1148C23×C3—21no—
1149C23×C3—21no—
1150C23×C3—21no—
1151C23×C3—21no—
1152C23×C3—21no—
1153C23×C3—21no—
1154C23×C3—21no—
1155C23×C3—21no—
1156C23×C3—21no—
1157C23×C3—21no—
1158C23×C3—21no—
1159C23×C3—21no—
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3—21no—
1163C23×C3—21no—
1164C23×C3—21no—
1165C23×C3—21no—
1166C23×C3—21no—
1167C23×C3—21no—
1168C23×C3—21no—
1169C23×C3—21no—
1170C23×C3—21no—
1171C23×C3—21no—
1172C23×C3—21no—
1173C23×C3—21no—
1174C23×C3—21no—
1175C23×C3—21no—
1176C23×C3—21no—
1177C23×C3—21no—
1178C23×C3—21no—
1179C23×C3—21no—
1180C23×C3—21no—
1181C23×C3—21no—
1182C23×C3—44no—
1183C23×C3—44no—
1184C23×C3—44no—
1185C23×C3—44no—
1186C23×C3—44no—
1187C23×C3—44no—
1188C23×C3—44no—
1189C23×C3—82no—
1190C23×C3—82no—
1191C23×C3—82no—
1192C23×C3—82no—
1193C23×C3—82no—
1194C23×C3—82no—
1195C23×C3—82no—
1196C23×C3C22×D412yes—
1197C23×C3C22×D412yes—
1198C23×C3C22×D412yes—
1199C23×C3C22×D412yes—
1200C23×C3C2×#4112yes—
1201C23×C3H(5,𝔽2)12yes—
1202C23×C3C2511yescharacteristic
1203C22×D3—21no—
1204C22×D3—21no—
1205C22×D3—21no—
1206C22×D3—21no—
1207C22×D3—21no—
1208C22×D3—21no—
1209C22×D3—21no—
1210C22×D3—21no—
1211C22×D3—21no—
1212C22×D3—21no—
1213C22×D3—21no—
1214C22×D3—21no—
1215C22×D3—21no—
1216C22×D3—21no—
1217C22×D3—21no—
1218C22×D3—21no—
1219C22×D3—21no—
1220C22×D3—21no—
1221C22×D3—21no—
1222C22×D3—21no—
1223C22×D3—21no—
1224C22×D3—21no—
1225C22×D3—21no—
1226C22×D3—21no—
1227C22×D3—21no—
1228C22×D3—21no—
1229C22×D3—44no—
1230C22×D3—44no—
1231C22×D3—44no—
1232C22×D3—44no—
1233C22×D3—44no—
1234C22×D3—44no—
1235C22×D3—44no—
1236C22×D3—82no—
1237C22×D3—82no—
1238C22×D3—82no—
1239C22×D3—82no—
1240C22×D3—82no—
1241C22×D3—82no—
1242C22×D3—82no—
1243C22×D3C22×D412yes—
1244C22×D3C2×#4112yes—
1245C3×Q8—44no—
1246C3×D4—28no—
1247C3×D4—28no—
1248C3×D4—44no—
1249C3×D4—44no—
1250C3×D4—44no—
1251C3×D4—44no—
1252C3×D4—44no—
1253C3×D4—82no—
1254C3×D4—82no—
1255C2×C3×C4—28no—
1256C2×C3×C4—21no—
1257C2×C3×C4—21no—
1258C2×C3×C4—21no—
1259C2×C3×C4—21no—
1260C2×C3×C4—21no—
1261C2×C3×C4—21no—
1262C2×C3×C4—21no—
1263C2×C3×C4—21no—
1264C2×C3×C4—21no—
1265C2×C3×C4—21no—
1266C2×C3×C4—21no—
1267C2×C3×C4—21no—
1268C2×C3×C4—21no—
1269C2×C3×C4—21no—
1270C2×C3×C4—21no—
1271C2×C3×C4—21no—
1272C2×C3×C4—21no—
1273C2×C3×C4—21no—
1274C2×C3×C4—21no—
1275C2×C3×C4—21no—
1276C2×C3×C4—21no—
1277C2×C3×C4—44no—
1278C2×C3×C4—44no—
1279C2×C3×C4—44no—
1280C2×C3×C4—82no—
1281C2×C3×C4—82no—
1282C2×C3×C4C22×D412yes—
1283C2×C3×C4C22×D412yes—
1284C2×C3×C4C22×D412yes—
1285C2×C3×C4C22×D412yes—
1286C2×C3×C4C22×D412yes—
1287C2×C3×C4C22×D412yes—
1288#67—28no—
1289#67—28no—
1290#67—28no—
1291#67—44no—
1292#67—44no—
1293#67—44no—
1294#67—44no—
1295#67—44no—
1296#67—44no—
1297#67—44no—
1298#67—44no—
1299#67—44no—
1300#67—44no—
1301#67—82no—
1302#67—82no—
1303#67—82no—
1304#67—82no—
1305#67—82no—
1306#67—82no—
1307#67—82no—
1308C2×Dic3—21no—
1309C2×Dic3—21no—
1310C2×Dic3—21no—
1311C2×Dic3—21no—
1312C2×Dic3—21no—
1313C2×Dic3—21no—
1314C2×Dic3—28no—
1315C2×Dic3—21no—
1316C2×Dic3—21no—
1317C2×Dic3—21no—
1318C2×Dic3—21no—
1319C2×Dic3—21no—
1320C2×Dic3—21no—
1321C2×Dic3—21no—
1322C2×Dic3—21no—
1323C2×Dic3—21no—
1324C2×Dic3—21no—
1325C2×Dic3—21no—
1326C2×Dic3—21no—
1327C2×Dic3—21no—
1328C2×Dic3—21no—
1329C2×Dic3—21no—
1330C2×Dic3—21no—
1331C2×Dic3—21no—
1332C2×Dic3—21no—
1333C2×Dic3—21no—
1334C2×Dic3—21no—
1335C2×Dic3—21no—
1336C2×Dic3—21no—
1337C2×Dic3—21no—
1338C2×Dic3—21no—
1339C2×Dic3—44no—
1340C2×Dic3—44no—
1341C2×Dic3—82no—
1342C2×Dic3C22×D412yes—
1343C2×Dic3C22×D412yes—
1344C2×Dic3C22×D412yes—
1345C2×Dic3C2×#4112yes—
1346C2×Dic3H(5,𝔽2)12yes—
1347C2×Dic3H(5,𝔽2)12yes—
1348D12—44no—
1349D12—44no—
1350D12—44no—
1351D12—82no—
1352C4×D3—44no—
1353C4×D3—44no—
1354C4×D3—44no—
1355C4×D3—82no—
1356Dic6—44no—
1357C24—22no—
1358C24—22no—
1359C24—22no—
1360C24—22no—
1361C24—22no—
1362C24—22no—
1363C24—22no—
1364C24—31no—
1365C24—31no—
1366C24—31no—
1367C24—31no—
1368C24—41no—
1369C24—41no—
1370C24—41no—
1371C24—41no—
1372C24—41no—
1373C24—41no—
1374C24—41no—
1375C24—62no—
1376C24—62no—
1377C24—62no—
1378C24—62no—
1379C24—62no—
1380C24—62no—
1381C24—62no—
1382C24—121no—
1383C24—121no—
1384C24—121no—
1385C24—121no—
1386C24—121no—
1387C24—121no—
1388C24—121no—
1389C24C23×D311yescharacteristic
1390C24C23×D311yescharacteristic
1391C24C23×D311yescharacteristic
1392C24C23×D311yescharacteristic
1393C24C23×D311yescharacteristic
1394C24C23×D311yescharacteristic
1395#41—416no—
1396#41—1216no—
1397C2×Q8—22no—
1398C2×Q8—22no—
1399C2×Q8—41no—
1400C2×Q8—62no—
1401C2×Q8—62no—
1402C2×Q8—121no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—34no—
1421C2×D4—34no—
1422C2×D4—34no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—416no—
1432C2×D4—62no—
1433C2×D4—62no—
1434C2×D4—62no—
1435C2×D4—62no—
1436C2×D4—62no—
1437C2×D4—62no—
1438C2×D4—62no—
1439C2×D4—62no—
1440C2×D4—62no—
1441C2×D4—62no—
1442C2×D4—62no—
1443C2×D4—62no—
1444C2×D4—62no—
1445C2×D4—62no—
1446C2×D4—62no—
1447C2×D4—62no—
1448C2×D4—62no—
1449C2×D4—62no—
1450C2×D4—62no—
1451C2×D4—62no—
1452C2×D4—62no—
1453C2×D4—62no—
1454C2×D4—62no—
1455C2×D4—62no—
1456C2×D4—62no—
1457C2×D4—62no—
1458C2×D4—62no—
1459C2×D4—62no—
1460C2×D4—62no—
1461C2×D4—62no—
1462C2×D4—62no—
1463C2×D4—62no—
1464C2×D4—62no—
1465C2×D4—62no—
1466C2×D4—62no—
1467C2×D4—62no—
1468C2×D4—62no—
1469C2×D4—62no—
1470C2×D4—62no—
1471C2×D4—62no—
1472C2×D4—62no—
1473C2×D4—121no—
1474C2×D4—121no—
1475C2×D4—121no—
1476C2×D4—121no—
1477C2×D4—121no—
1478C2×D4—1216no—
1479C2×D4—121no—
1480C2×D4—121no—
1481C2×D4—121no—
1482C2×D4—121no—
1483C2×D4—121no—
1484C2×D4—121no—
1485C2×D4—121no—
1486C2×D4—121no—
1487C2×D4—121no—
1488C2×D4—121no—
1489C2×D4—121no—
1490C2×D4—121no—
1491C2×D4—121no—
1492C2×D4—121no—
1493C2×D4—121no—
1494C2×D4—121no—
1495C2×D4—121no—
1496C2×D4—121no—
1497C2×D4—121no—
1498C2×D4—121no—
1499C2×D4—121no—
1500C2×D4—121no—
1501C2×D4—121no—
1502C2×D4—1216no—
1503C2×D4—1216no—
1504C2×D4D3×D414yes—
1505C2×D4C2×#6714yes—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—22no—
1516C22×C4—31no—
1517C22×C4—34no—
1518C22×C4—31no—
1519C22×C4—31no—
1520C22×C4—31no—
1521C22×C4—31no—
1522C22×C4—31no—
1523C22×C4—31no—
1524C22×C4—31no—
1525C22×C4—31no—
1526C22×C4—31no—
1527C22×C4—31no—
1528C22×C4—31no—
1529C22×C4—41no—
1530C22×C4—41no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—62no—
1537C22×C4—62no—
1538C22×C4—62no—
1539C22×C4—62no—
1540C22×C4—62no—
1541C22×C4—62no—
1542C22×C4—62no—
1543C22×C4—62no—
1544C22×C4—62no—
1545C22×C4—62no—
1546C22×C4—62no—
1547C22×C4—62no—
1548C22×C4—62no—
1549C22×C4—62no—
1550C22×C4—62no—
1551C22×C4—121no—
1552C22×C4—121no—
1553C22×C4—121no—
1554C22×C4—121no—
1555C22×C4—121no—
1556C22×C4—121no—
1557C22×C4—121no—
1558C22×C4—121no—
1559C22×C4C2×#6714yescomplemented
1560C22×C4C23×D311yescharacteristic
1561C22×C4C23×D311yescharacteristic
1562C22×C4C23×D311yescharacteristic
1563C22×C4C23×D311yescharacteristic
1564C22×C4C23×D311yescharacteristic
1565C22×C4C23×D311yescharacteristic
1566C22×C4C23×D311yescharacteristic
1567C22×C4C23×D311yescharacteristic
1568C22×C4C23×D311yescharacteristic
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—34no—
1572C4⋊C4—62no—
1573C4⋊C4—62no—
1574C4⋊C4—62no—
1575C4⋊C4—62no—
1576C4⋊C4—62no—
1577C4⋊C4—62no—
1578C4⋊C4—62no—
1579C4⋊C4—62no—
1580C4⋊C4—62no—
1581C4⋊C4—121no—
1582C4⋊C4—121no—
1583C4⋊C4—121no—
1584C4⋊C4C2×#6714yescomplemented
1585C4⋊C4C2×#6714yescomplemented
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—34no—
1596C22⋊C4—34no—
1597C22⋊C4—62no—
1598C22⋊C4—62no—
1599C22⋊C4—62no—
1600C22⋊C4—62no—
1601C22⋊C4—62no—
1602C22⋊C4—62no—
1603C22⋊C4—62no—
1604C22⋊C4—62no—
1605C22⋊C4—62no—
1606C22⋊C4—62no—
1607C22⋊C4—62no—
1608C22⋊C4—62no—
1609C22⋊C4—62no—
1610C22⋊C4—62no—
1611C22⋊C4—62no—
1612C22⋊C4—62no—
1613C22⋊C4—62no—
1614C22⋊C4—62no—
1615C22⋊C4—62no—
1616C22⋊C4—62no—
1617C22⋊C4—62no—
1618C22⋊C4—62no—
1619C22⋊C4—62no—
1620C22⋊C4—62no—
1621C22⋊C4—62no—
1622C22⋊C4—62no—
1623C22⋊C4—62no—
1624C22⋊C4—121no—
1625C22⋊C4—121no—
1626C22⋊C4—121no—
1627C22⋊C4—121no—
1628C22⋊C4—121no—
1629C22⋊C4—121no—
1630C22⋊C4—121no—
1631C22⋊C4—121no—
1632C22⋊C4—121no—
1633C22⋊C4—121no—
1634C22⋊C4—121no—
1635C22⋊C4—121no—
1636C22⋊C4—121no—
1637C22⋊C4—121no—
1638C22⋊C4—121no—
1639C22⋊C4—121no—
1640C22⋊C4—121no—
1641C22⋊C4C2×#6714yescomplemented
1642C22⋊C4C2×#6714yescomplemented
1643C22⋊C4C2×#6714yescomplemented
1644C42—22no—
1645C42—62no—
1646C42—62no—
1647C42—62no—
1648C42—62no—
1649C42—62no—
1650C42—62no—
1651C42—62no—
1652C42—62no—
1653C22×C3—22no—
1654C22×C3—22no—
1655C22×C3—22no—
1656C22×C3—22no—
1657C22×C3—22no—
1658C22×C3—22no—
1659C22×C3—22no—
1660C22×C3—22no—
1661C22×C3—22no—
1662C22×C3—22no—
1663C22×C3—22no—
1664C22×C3—22no—
1665C22×C3—22no—
1666C22×C3—22no—
1667C22×C3—22no—
1668C22×C3—41no—
1669C22×C3—41no—
1670C22×C3—41no—
1671C22×C3—41no—
1672C22×C3—41no—
1673C22×C3—41no—
1674C22×C3—41no—
1675C22×C3—41no—
1676C22×C3—41no—
1677C22×C3—41no—
1678C22×C3—41no—
1679C22×C3—41no—
1680C22×C3—41no—
1681C22×C3—41no—
1682C22×C3—41no—
1683C22×C3—41no—
1684C22×C3—41no—
1685C22×C3—41no—
1686C22×C3—41no—
1687C22×C3—41no—
1688C22×C3—41no—
1689C22×C3—41no—
1690C22×C3—41no—
1691C22×C3—41no—
1692C22×C3—41no—
1693C22×C3—41no—
1694C22×C3—88no—
1695C22×C3—88no—
1696C22×C3D4214yes—
1697C22×C3C23×D411yescharacteristic
1698C22×C3C23×D411yescharacteristic
1699C22×C3C22×#4111yescharacteristic
1700C22×C3C2×H(5,𝔽2)11yescharacteristic
1701C22×C3C2×H(5,𝔽2)11yescharacteristic
1702C22×C3C2×H(5,𝔽2)11yescharacteristic
1703C22×C3#58511yescharacteristic
1704C2×D3—22no—
1705C2×D3—22no—
1706C2×D3—22no—
1707C2×D3—22no—
1708C2×D3—22no—
1709C2×D3—22no—
1710C2×D3—41no—
1711C2×D3—41no—
1712C2×D3—41no—
1713C2×D3—41no—
1714C2×D3—41no—
1715C2×D3—41no—
1716C2×D3—41no—
1717C2×D3—41no—
1718C2×D3—41no—
1719C2×D3—41no—
1720C2×D3—41no—
1721C2×D3—41no—
1722C2×D3—41no—
1723C2×D3—41no—
1724C2×D3—41no—
1725C2×D3—41no—
1726C2×D3—41no—
1727C2×D3—41no—
1728C2×D3—41no—
1729C2×D3—41no—
1730C2×D3—41no—
1731C2×D3—41no—
1732C2×D3—88no—
1733C2×D3—88no—
1734C3×C4—22no—
1735C3×C4—22no—
1736C3×C4—22no—
1737C3×C4—22no—
1738C3×C4—22no—
1739C3×C4—22no—
1740C3×C4—41no—
1741C3×C4—41no—
1742C3×C4—41no—
1743Dic3—22no—
1744Dic3—22no—
1745Dic3—22no—
1746Dic3—41no—
1747Dic3—41no—
1748Dic3—41no—
1749Dic3—41no—
1750Dic3—41no—
1751Dic3—41no—
1752Dic3—41no—
1753Dic3—41no—
1754Dic3#54614yescomplemented
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—32no—
1792C23—32no—
1793C23—44no—
1794C23—44no—
1795C23—44no—
1796C23—44no—
1797C23—44no—
1798C23—44no—
1799C23—44no—
1800C23—61no—
1801C23—61no—
1802C23—61no—
1803C23—61no—
1804C23—61no—
1805C23—61no—
1806C23—61no—
1807C23—61no—
1808C23—61no—
1809C23—61no—
1810C23—61no—
1811C23—61no—
1812C23—61no—
1813C23—61no—
1814C23—61no—
1815C23—61no—
1816C23—61no—
1817C23—61no—
1818C23—61no—
1819C23—61no—
1820C23—61no—
1821C23—61no—
1822C23—61no—
1823C23—61no—
1824C23—61no—
1825C23—61no—
1826C23—82no—
1827C23—82no—
1828C23—82no—
1829C23—82no—
1830C23—82no—
1831C23—82no—
1832C23—82no—
1833C23—124no—
1834C23—124no—
1835C23—124no—
1836C23—124no—
1837C23—124no—
1838C23—124no—
1839C23—124no—
1840C23—242no—
1841C23—242no—
1842C23—242no—
1843C23—242no—
1844C23—242no—
1845C23—242no—
1846C23—242no—
1847C23C2×D3×D412yes—
1848C23C2×D3×D412yes—
1849C23#100412yes—
1850C23D3×#4112yes—
1851C23C22×#6712yes—
1852C23C22×#6712yes—
1853C23C24×D311yescharacteristic
1854Q8—44no—
1855Q8—124no—
1856D4—28no—
1857D4—28no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—68no—
1864D4—68no—
1865D4—68no—
1866D4—82no—
1867D4—82no—
1868D4—124no—
1869D4—124no—
1870D4—124no—
1871D4—124no—
1872D4—124no—
1873D4—124no—
1874D4—124no—
1875D4—124no—
1876D4—124no—
1877D4—124no—
1878D4—124no—
1879D4—124no—
1880D4—124no—
1881D4—242no—
1882D4—242no—
1883D4—242no—
1884D4—242no—
1885D4—242no—
1886D4—242no—
1887D4—242no—
1888D4—242no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—28no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—32no—
1912C2×C4—32no—
1913C2×C4—32no—
1914C2×C4—32no—
1915C2×C4—32no—
1916C2×C4—32no—
1917C2×C4—44no—
1918C2×C4—44no—
1919C2×C4—44no—
1920C2×C4—68no—
1921C2×C4—61no—
1922C2×C4—61no—
1923C2×C4—61no—
1924C2×C4—61no—
1925C2×C4—61no—
1926C2×C4—61no—
1927C2×C4—61no—
1928C2×C4—61no—
1929C2×C4—61no—
1930C2×C4—61no—
1931C2×C4—61no—
1932C2×C4—61no—
1933C2×C4—61no—
1934C2×C4—61no—
1935C2×C4—61no—
1936C2×C4—61no—
1937C2×C4—61no—
1938C2×C4—61no—
1939C2×C4—61no—
1940C2×C4—61no—
1941C2×C4—61no—
1942C2×C4—61no—
1943C2×C4—61no—
1944C2×C4—61no—
1945C2×C4—61no—
1946C2×C4—61no—
1947C2×C4—61no—
1948C2×C4—61no—
1949C2×C4—61no—
1950C2×C4—61no—
1951C2×C4—82no—
1952C2×C4—82no—
1953C2×C4—124no—
1954C2×C4—124no—
1955C2×C4—124no—
1956C2×C4—124no—
1957C2×C4—124no—
1958C2×C4—242no—
1959C2×C4—242no—
1960C2×C4C2×D3×D412yes—
1961C2×C4C22×#6712yes—
1962C2×C4C22×#6712yes—
1963C2×C4C22×#6712yes—
1964C2×C4C22×#6712yes—
1965C2×C4C22×#6712yes—
1966C2×C3—24no—
1967C2×C3—42no—
1968C2×C3—42no—
1969C2×C3—42no—
1970C2×C3—81no—
1971C2×C3—81no—
1972C2×C3C2×D4211yescharacteristic
1973C2×C3C2×#54611yescharacteristic
1974C2×C3D4×#4111yescharacteristic
1975C2×C3#348811yescharacteristic
1976C2×C3#349811yescharacteristic
1977C2×C3#351911yescharacteristic
1978C2×C3#355811yescharacteristic
1979D3—42no—
1980D3—42no—
1981D3—81no—
1982D3—81no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—62no—
2025C22—62no—
2026C22—62no—
2027C22—62no—
2028C22—62no—
2029C22—62no—
2030C22—88no—
2031C22—88no—
2032C22—121no—
2033C22—121no—
2034C22—121no—
2035C22—121no—
2036C22—121no—
2037C22—121no—
2038C22—121no—
2039C22—121no—
2040C22—121no—
2041C22—121no—
2042C22—121no—
2043C22—121no—
2044C22—121no—
2045C22—121no—
2046C22—121no—
2047C22—121no—
2048C22—121no—
2049C22—121no—
2050C22—121no—
2051C22—121no—
2052C22—121no—
2053C22—121no—
2054C22—248no—
2055C22—248no—
2056C22D4×#6714yes—
2057C22C22×D3×D411yescharacteristic
2058C22C2×#100411yescharacteristic
2059C22C2×D3×#4111yescharacteristic
2060C22#596411yescharacteristic
2061C22D3×H(5,𝔽2)11yescharacteristic
2062C22D3×H(5,𝔽2)11yescharacteristic
2063C22C23×#6711yescharacteristic
2064C4—22no—
2065C4—22no—
2066C4—22no—
2067C4—22no—
2068C4—22no—
2069C4—22no—
2070C4—34no—
2071C4—41no—
2072C4—41no—
2073C4—41no—
2074C4—62no—
2075C4—62no—
2076C4—62no—
2077C4—121no—
2078C4—121no—
2079C4—121no—
2080C4—121no—
2081C4—121no—
2082C4—121no—
2083C4—121no—
2084C4—121no—
2085C3#5909511yescharacteristic, complemented, Sylow
2086C2—24no—
2087C2—42no—
2088C2—42no—
2089C2—42no—
2090C2—81no—
2091C2—81no—
2092C2—122no—
2093C2—122no—
2094C2—241no—
2095C2—241no—
2096C2#8662911yescharacteristic
2097C2#8663911yescharacteristic
2098C2#8665511yescharacteristic
2099C2D3×#54611yescharacteristic
2100C2C2×D4×#6711yescharacteristic
2101C2#41×#6711yescharacteristic
2102C2#8728211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#546C2
hypercenterC2×#546D3
hypocenterC3#59095
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C2×C3×#546C2semidirect
2. C2×#5832C2semidirect
3. C2×D4×#67C2semidirect
4. C2×#5654C2semidirect
5. #84096C2semidirect
6. #84048C2semidirect
7. #83003C2semidirect
8. #82967C2semidirect
9. #82899C2semidirect
10. #82849C2semidirect
11. Dic3×#123C2semidirect
12. #82827C2semidirect
13. #82766C2semidirect
14. #82719C2semidirect
15. #82707C2semidirect
16. #82702C2semidirect
17. #82669C2semidirect
18. #82650C2semidirect
19. #82642C2semidirect
20. #82595C2semidirect
21. #82588C2semidirect
22. #82588C2semidirect
23. #82586C2semidirect
24. #82411C2semidirect
25. #82407C2semidirect
26. #82343C2semidirect
27. #82340C2semidirect
28. #82125C2semidirect
29. C22⋊C4×#67C2semidirect
30. #82109C2semidirect
31. C2×#4957C2semidirect
33. C22×C3×#41C22semidirect
38. C22×#235C22semidirect
40. C2×C3×#124C22semidirect
42. C2×C3×#123C22semidirect
43. C2×C3×C22⋊Q8C22semidirect
45. C2×C3×#121C22semidirect
46. C2×C3×#121C22semidirect
47. C2×C3×#120C22semidirect
48. C2×C3×#120C22semidirect
49. C2×C3×C4×D4C22semidirect
50. C2×C3×C4×D4C22semidirect
51. C22×C3×C22⋊C4C22semidirect
52. C22×C3×C22⋊C4C22semidirect
55. C2×#953C22semidirect
56. C2×#953C22semidirect
57. C22×#217C22semidirect
59. C2×#947C22semidirect
60. C2×#944C22semidirect
63. C2×#940C22semidirect
64. C2×#940C22semidirect
68. C2×#939C22semidirect
69. C2×#939C22semidirect
70. C2×#939C22semidirect
71. C2×#939C22semidirect
74. C2×#938C22semidirect
77. C2×#937C22semidirect
78. C2×#937C22semidirect
79. C2×#936C22semidirect
82. C2×#930C22semidirect
84. C2×C4×#67C22semidirect
85. C2×C4×#67C22semidirect
86. C2×C4×#67C22semidirect
87. C2×C4×#67C22semidirect
88. C2×C4×#67C22semidirect
89. C22×(C2×D3)⋊C4C22semidirect
90. C22×(C2×D3)⋊C4C22semidirect
91. C22×Dic3⋊C4C22semidirect
92. C22×C4×Dic3C22semidirect
94. C2×#896C22semidirect
95. C2×#895C22semidirect
96. C2×#894C22semidirect
97. C2×#893C22semidirect
98. C2×#885C22semidirect
99. C2×#884C22semidirect
100. C2×#882C22semidirect
101. C2×#882C22semidirect
102. C2×#67⋊C4C22semidirect
103. C2×D3×C22⋊C4C22semidirect
104. #5247C22semidirect
105. #5231C22semidirect
106. #5231C22semidirect
107. #5223C22semidirect
108. #5223C22semidirect
109. #5223C22semidirect
110. #5223C22semidirect
111. #5223C22semidirect
112. #5223C22semidirect
113. #5223C22semidirect
114. #5223C22semidirect
115. #5222C22semidirect
116. #5222C22semidirect
117. #5222C22semidirect
118. #5222C22semidirect
119. #5221C22semidirect
121. #5220C22semidirect
122. #5220C22semidirect
123. #5213C22semidirect
124. #5213C22semidirect
125. #5213C22semidirect
126. #5213C22semidirect
127. #5213C22semidirect
128. #5213C22semidirect
129. #5213C22semidirect
130. #5213C22semidirect
131. #5211C22semidirect
132. #5210C22semidirect
133. #5210C22semidirect
134. #4994C22semidirect
135. #4994C22semidirect
136. #4991C22semidirect
137. #4991C22semidirect
138. #4989C22semidirect
139. #4989C22semidirect
140. #4980C22semidirect
141. #4980C22semidirect
142. #4976C22semidirect
143. #4976C22semidirect
144. Dic3×C4⋊C4C22semidirect
145. Dic3×C4⋊C4C22semidirect
146. #4961C22semidirect
147. #4961C22semidirect
148. #4960C22semidirect
149. #4960C22semidirect
150. #4960C22semidirect
151. #4960C22semidirect
152. #4960C22semidirect
153. #4960C22semidirect
154. #4959C22semidirect
155. #4959C22semidirect
159. #4957C22semidirect
160. #4957C22semidirect
161. #4957C22semidirect
162. #4957C22semidirect
163. #4957C22semidirect
164. #4957C22semidirect
165. #4957C22semidirect
166. #4957C22semidirect
167. #4957C22semidirect
168. #4956C22semidirect
169. #4956C22semidirect
170. #4956C22semidirect
171. #4956C22semidirect
172. #4956C22semidirect
173. #4956C22semidirect
174. #4955C22semidirect
175. #4951C22semidirect
176. #4951C22semidirect
177. #4950C22semidirect
178. #4948C22semidirect
179. #4948C22semidirect
180. #4947C22semidirect
181. #4947C22semidirect
182. #4944C22semidirect
183. #4944C22semidirect
184. #4942C22semidirect
185. Dic3×C22⋊C4C22semidirect
186. Dic3×C22⋊C4C22semidirect
187. Dic3×C22⋊C4C22semidirect
188. #4940C22semidirect
189. #4940C22semidirect
190. #4939C22semidirect
191. C4×Dic3⋊C4C22semidirect
193. C2×#546D3semidirect
296. C3×#123D4semidirect
363. #939D4semidirect
458. C22×#41C2×D3semidirect
475. C2×#124C2×D3semidirect
478. C2×#123C2×D3semidirect
480. C2×C22⋊Q8C2×D3semidirect
495. C2×#121C2×D3semidirect
496. C2×#121C2×D3semidirect
507. C2×#120C2×D3semidirect
508. C2×#120C2×D3semidirect
518. C2×C4×D4C2×D3semidirect
519. C2×C4×D4C2×D3semidirect
525. C22×C22⋊C4C2×D3semidirect
526. C22×C22⋊C4C2×D3semidirect
703. C22×C3×C4C2×D4semidirect
774. C2×#67#41semidirect
830. C3×C4⋊C4C2×D4semidirect
831. C3×C4⋊C4C2×D4semidirect
841. C3×C22⋊C4C2×D4semidirect
842. C3×C22⋊C4C2×D4semidirect
843. C3×C22⋊C4C2×D4semidirect
994. #123#67semidirect
1559. C22×C4C2×#67semidirect
1584. C4⋊C4C2×#67semidirect
1585. C4⋊C4C2×#67semidirect
1641. C22⋊C4C2×#67semidirect
1642. C22⋊C4C2×#67semidirect
1643. C22⋊C4C2×#67semidirect
1754. Dic3#546semidirect
2085. C3#59095semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5462
C2×#58322
C2×D4×#672
C2×#56542
#840962
#840482
#830032
#829672
#828992
#828492
Dic3×#1232
#828272
#827662
#827192
#827072
#827022
#826692
#826502
#826422
#825952
#825882
#825862
#824112
#824072
#823432
#823402
#821252
C22⋊C4×#672
#821092
C2×#49572
#590953