Finite Group Databasebeta

← #11097867

Subgroups — #11097867

Order 768.

2700 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5553C211yesmaximal, characteristic, complemented
3C3×#2467C211yesmaximal, characteristic, complemented
4#83106C211yesmaximal, characteristic, complemented
5#82411C211yesmaximal, characteristic, complemented
6#78114C211yesmaximal, characteristic, complemented
7#78111C211yesmaximal, characteristic, complemented
8#77162C211yesmaximal, characteristic, complemented
9#77160C211yesmaximal, characteristic, complemented
10#77134C211yesmaximal, characteristic, complemented
11#77128C211yesmaximal, characteristic, complemented
12#76765C211yesmaximal, characteristic, complemented
13#76706C211yesmaximal, characteristic, complemented
14#76454C211yesmaximal, characteristic, complemented
15#76444C211yesmaximal, characteristic, complemented
16#75912C211yesmaximal, characteristic, complemented
17#75902C211yesmaximal, characteristic, complemented
18#75652C211yesmaximal, characteristic, complemented
19#75597C211yesmaximal, characteristic, complemented
20#75387C211yesmaximal, characteristic, complemented
21#75323C211yesmaximal, characteristic, complemented
22#75306C211yesmaximal, characteristic, complemented
23#75126C211yesmaximal, characteristic, complemented
24#74912C211yesmaximal, characteristic, complemented
25#74896C211yesmaximal, characteristic, complemented
26#74886C211yesmaximal, characteristic, complemented
27#74698C211yesmaximal, characteristic, complemented
28#74036C211yesmaximal, characteristic, complemented
29#74030C211yesmaximal, characteristic, complemented
30#73600C211yesmaximal, characteristic, complemented
31#73580C211yesmaximal, characteristic, complemented
32#40501—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×#940C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic, complemented
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48#5704—28no—
49#5553—28no—
50C2×#898C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic
56C2×#895C2211yescharacteristic, complemented
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic
73C2×#883C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×#875C2211yescharacteristic
80C2×#874C2211yescharacteristic
81C2×C4×D12C2211yescharacteristic
82C2×C4×D12C2211yescharacteristic, complemented
83C2×C4×Dic6C2211yescharacteristic, complemented
84C3×#399C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic
88C3×#390C2211yescharacteristic
89C3×#388C2211yescharacteristic
90C3×#388C2211yescharacteristic, complemented
91C3×#387C2211yescharacteristic, complemented
92C3×#387C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic
94C3×#386C2211yescharacteristic
95C3×#380C2211yescharacteristic, complemented
96C3×C4×C22⋊C4C2211yescharacteristic, complemented
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5223C2211yescharacteristic
101#5223C2211yescharacteristic, complemented
102#5213C2211yescharacteristic
103#5210C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4993C2211yescharacteristic
106#4993C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic
111#4987C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4980C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4978C2211yescharacteristic, complemented
116#4972C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4949C2211yescharacteristic
148#4948C2211yescharacteristic, complemented
149#4947C2211yescharacteristic
150#4944C2211yescharacteristic
151#4940C2211yescharacteristic
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4939C2211yescharacteristic
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
158#4673C2211yescharacteristic
159#4673C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic
163#4671C2211yescharacteristic
164#4671C2211yescharacteristic
165#4671C2211yescharacteristic
166#4671C2211yescharacteristic
167#4671C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic, complemented
173#4669C2211yescharacteristic
174#4668C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic
183D3×#95C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4651C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#550—31no—
191C2×#538—31no—
192#2818—31no—
193#2813—31no—
194#2673—31no—
195#2673—31no—
196#2672—31no—
197#2672—31no—
198#2669—31no—
199#2669—31no—
200#2669—31no—
201#2669—31no—
202#2657—31no—
203#2656—31no—
204#2635—31no—
205#2632—31no—
206#2615—31no—
207#2604—31no—
208#2555—31no—
209#2555—31no—
210#2539—31no—
211#2467—31no—
212#2467D311yescharacteristic, complemented
213#2456—31no—
214#2456—31no—
215#2430—31no—
216#2428—31no—
217#2428—31no—
218#2404—31no—
219#2388—31no—
220#2353—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C2×#235—24no—
244C2×#235—24no—
245C2×#235—42no—
246C2×#235—42no—
247C2×#235—42no—
248C2×#235—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C3×#126—24no—
274C3×C4×D4—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#940—24no—
305#940—24no—
306#940—42no—
307#940—42no—
308#938—42no—
309#937—42no—
310#937—42no—
311#930—24no—
312#930—24no—
313#930—42no—
314C4×#67—42no—
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#898—24no—
370#896—24no—
371#895—24no—
372#895—24no—
373#895—42no—
374#895—42no—
375#895—42no—
376#894—24no—
377#894—42no—
378#893—24no—
379#893D418yescomplemented
380#885—24no—
381#885—42no—
382#885—42no—
383#884—24no—
384#884—24no—
385#884—24no—
386#884—24no—
387#884—24no—
388#884—42no—
389#884—42no—
390#884—42no—
391#883—24no—
392#883—42no—
393#882—24no—
394#882—24no—
395#882—42no—
396#882—42no—
397D3×C22⋊C4—24no—
398#875—24no—
399#874—24no—
400C4×D12—24no—
401C4×D12—42no—
402C4×Dic6—24no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431#550—68no—
432#538—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#126—31no—
439C2×#126C2×D311yescharacteristic
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×C4×Q8—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×C4×D4C2×D311yescharacteristic, complemented
479C22×C22⋊C4—31no—
480#400—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399C2×D311yescharacteristic, complemented
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394C2×D311yescharacteristic
506#394C2×D311yescharacteristic, complemented
507#393—31no—
508#393—31no—
509#393—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392C2×D311yescharacteristic
536#390—31no—
537#390—31no—
538#390—31no—
539#390C2×D311yescharacteristic
540#389—31no—
541#389—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388C2×D311yescharacteristic
553#388C2×D311yescharacteristic, complemented
554#387—31no—
555#387—31no—
556#387C2×D311yescharacteristic, complemented
557#387C2×D311yescharacteristic, complemented
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386C2×D311yescharacteristic
571#386C2×D311yescharacteristic
572#385—31no—
573#385—31no—
574#383—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4C2×D311yescharacteristic, complemented
584#376—31no—
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687#235—416no—
688#235—416no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12C2×D414yes—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3C2×D414yes—
754C2×C4×D3C2×D414yes—
755C2×Dic6—22no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—41no—
760C2×Dic6—41no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4—41no—
766C3×C4⋊C4C2×D414yes—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C22⋊C4—41no—
780C3×C42—22no—
781C3×C42—22no—
782C3×C42—41no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4C2×D414yes—
825(C2×D3)⋊C4C2×D414yes—
826C4⋊Dic3—22no—
827C4⋊Dic3—22no—
828C4⋊Dic3—22no—
829C4⋊Dic3—41no—
830C4⋊Dic3—41no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3C2×D414yes—
844C25—31no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—64no—
897#127—64no—
898#127—64no—
899#127—122no—
900#127—122no—
901#126—24no—
902#126—64no—
903#124—64no—
904#124—64no—
905#124—122no—
906#124—122no—
907#123—64no—
908#123—64no—
909#123—122no—
910#123—122no—
911C22⋊Q8—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—122no—
922#121—122no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927#121—122no—
928#121—122no—
929#120—64no—
930#120—64no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×Q8—64no—
936C4×D4—24no—
937C4×D4—38no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—122no—
941C4×D4—122no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—64no—
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C42—31no—
1019C2×C42—31no—
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42C22×D311yescharacteristic
1024C2×C42C22×D311yescharacteristic
1025C2×C42C22×D311yescharacteristic
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95C22×D311yescharacteristic
1045#95C22×D311yescharacteristic
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3C2511yescharacteristic
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—44no—
1115C22×D3—82no—
1116C22×D3—82no—
1117C22×D3—82no—
1118C22×D3—82no—
1119C22×D3—82no—
1120C22×D3—82no—
1121C22×D3C22×D412yes—
1122C22×D3C22×D412yes—
1123C3×D4—44no—
1124C3×D4—82no—
1125C3×D4—82no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—44no—
1158C2×C3×C4—44no—
1159C2×C3×C4C22×D412yes—
1160C2×C3×C4C22×D412yes—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4H(5,𝔽2)12yes—
1163C2×C3×C4H(5,𝔽2)12yes—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—82no—
1170#67—82no—
1171#67—82no—
1172#67—82no—
1173#67—82no—
1174#67—82no—
1175#67—82no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3H(5,𝔽2)12yes—
1209C2×Dic3H(5,𝔽2)12yes—
1210D12—44no—
1211D12—44no—
1212D12—44no—
1213D12—44no—
1214D12—44no—
1215D12—44no—
1216D12—82no—
1217D12—82no—
1218D12—82no—
1219D12—82no—
1220D12—82no—
1221D12—82no—
1222D12—82no—
1223D12—82no—
1224C4×D3—44no—
1225C4×D3—44no—
1226C4×D3—44no—
1227C4×D3—44no—
1228C4×D3—82no—
1229C4×D3—82no—
1230C4×D3—82no—
1231C4×D3—82no—
1232Dic6—28no—
1233Dic6—82no—
1234C24—31no—
1235C24—31no—
1236C24—31no—
1237C24—31no—
1238C24—31no—
1239C24—31no—
1240C24—62no—
1241C24—121no—
1242C24—121no—
1243C24—121no—
1244C24—121no—
1245C24—121no—
1246C24—121no—
1247C24C23×D311yescharacteristic
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250#41—1216no—
1251#41—1216no—
1252C2×Q8—62no—
1253C2×Q8—62no—
1254C2×Q8—62no—
1255C2×Q8—62no—
1256C2×Q8—121no—
1257C2×Q8—121no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—34no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—34no—
1366C22×C4—34no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—62no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4D3×D414yes—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—34no—
1436C22⋊C4—34no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C42—22no—
1485C42—22no—
1486C42—34no—
1487C42—41no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—121no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3C23×D411yescharacteristic
1514C22×C3C2×H(5,𝔽2)11yescharacteristic
1515C22×C3C2×H(5,𝔽2)11yescharacteristic
1516C22×C3C2×H(5,𝔽2)11yescharacteristic
1517C22×C3C2×H(5,𝔽2)11yescharacteristic
1518C22×C3#58511yescharacteristic
1519C22×C3#58511yescharacteristic
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—22no—
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—88no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—22no—
1567C3×C4—22no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—22no—
1578Dic3—22no—
1579Dic3—41no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3—41no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—32no—
1607C23—32no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—124no—
1649C23—242no—
1650C23—242no—
1651C23—242no—
1652C23—242no—
1653C23—242no—
1654C23—242no—
1655C23C24×D311yescharacteristic
1656Q8—68no—
1657Q8—242no—
1658D4—44no—
1659D4—82no—
1660D4—82no—
1661D4—124no—
1662D4—124no—
1663D4—124no—
1664D4—124no—
1665D4—124no—
1666D4—124no—
1667D4—124no—
1668D4—124no—
1669D4—124no—
1670D4—124no—
1671D4—124no—
1672D4—242no—
1673D4—242no—
1674D4—242no—
1675D4—242no—
1676D4—242no—
1677D4—242no—
1678D4—242no—
1679D4—242no—
1680D4—242no—
1681D4—242no—
1682D4—242no—
1683D4—242no—
1684D4—242no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—32no—
1723C2×C4—32no—
1724C2×C4—32no—
1725C2×C4—32no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—124no—
1755C2×C4—124no—
1756C2×C4—124no—
1757C2×C4—124no—
1758C2×C4—242no—
1759C2×C4—242no—
1760C2×C4—242no—
1761C2×C4—242no—
1762C2×C4C2×D3×D412yes—
1763C2×C4C2×D3×D412yes—
1764C2×C4C2×D3×D412yes—
1765C2×C4#100912yes—
1766C2×C4#100912yes—
1767C2×C3—81no—
1768C2×C3—81no—
1769C2×C3—81no—
1770C2×C3#344911yescharacteristic
1771C2×C3#348411yescharacteristic
1772C2×C3#349811yescharacteristic
1773C2×C3#354211yescharacteristic
1774C2×C3#354211yescharacteristic
1775C2×C3#354611yescharacteristic
1776C2×C3#354611yescharacteristic
1777D3—42no—
1778D3—42no—
1779D3—81no—
1780D3—81no—
1781D3—81no—
1782D3—81no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—62no—
1805C22—62no—
1806C22—62no—
1807C22—62no—
1808C22—62no—
1809C22—62no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22—121no—
1828C22—121no—
1829C22—121no—
1830C22—121no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—248no—
1847C22C22×D3×D411yescharacteristic
1848C22C2×#100911yescharacteristic
1849C22C2×#100911yescharacteristic
1850C22#596411yescharacteristic
1851C22#596411yescharacteristic
1852C22D3×H(5,𝔽2)11yescharacteristic
1853C22D3×H(5,𝔽2)11yescharacteristic
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—62no—
1867C4—62no—
1868C4—62no—
1869C4—62no—
1870C4—121no—
1871C4—121no—
1872C4—121no—
1873C4—121no—
1874C4—121no—
1875C4—121no—
1876C3#4050111yescharacteristic, complemented, Sylow
1877C2—81no—
1878C2—81no—
1879C2—81no—
1880C2—122no—
1881C2—122no—
1882C2—241no—
1883C2—241no—
1884C2—241no—
1885C2—241no—
1886C2#8603511yescharacteristic
1887C2#8617411yescharacteristic
1888C2#8640111yescharacteristic
1889C2#8666211yescharacteristic
1890C2#8677011yescharacteristic
1891C2#8680511yescharacteristic
1892C2#8689511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2467C2
hypercenter#2467D3
hypocenterC3#40501
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5553C2semidirect
3. C3×#2467C2semidirect
4. #83106C2semidirect
5. #82411C2semidirect
6. #78114C2semidirect
7. #78111C2semidirect
8. #77162C2semidirect
9. #77160C2semidirect
10. #77134C2semidirect
11. #77128C2semidirect
12. #76765C2semidirect
13. #76706C2semidirect
14. #76454C2semidirect
15. #76444C2semidirect
16. #75912C2semidirect
17. #75902C2semidirect
18. #75652C2semidirect
19. #75597C2semidirect
20. #75387C2semidirect
21. #75323C2semidirect
22. #75306C2semidirect
23. #75126C2semidirect
24. #74912C2semidirect
25. #74896C2semidirect
26. #74886C2semidirect
27. #74698C2semidirect
28. #74036C2semidirect
29. #74030C2semidirect
30. #73600C2semidirect
31. #73580C2semidirect
34. C22×#235C22semidirect
36. C2×C3×C4×D4C22semidirect
40. C2×#940C22semidirect
46. C2×#930C22semidirect
47. C2×C4×#67C22semidirect
56. C2×#895C22semidirect
60. C2×#893C22semidirect
62. C2×#885C22semidirect
63. C2×#885C22semidirect
69. C2×#884C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
82. C2×C4×D12C22semidirect
83. C2×C4×Dic6C22semidirect
84. C3×#399C22semidirect
86. C3×#394C22semidirect
90. C3×#388C22semidirect
91. C3×#387C22semidirect
92. C3×#387C22semidirect
95. C3×#380C22semidirect
96. C3×C4×C22⋊C4C22semidirect
101. #5223C22semidirect
103. #5210C22semidirect
104. #4994C22semidirect
106. #4993C22semidirect
107. #4993C22semidirect
109. #4991C22semidirect
111. #4987C22semidirect
112. #4987C22semidirect
113. #4980C22semidirect
114. #4979C22semidirect
115. #4978C22semidirect
116. #4972C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
148. #4948C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×(C2×D3)⋊C4C22semidirect
159. #4673C22semidirect
161. #4672C22semidirect
167. #4671C22semidirect
168. #4671C22semidirect
172. #4670C22semidirect
174. #4668C22semidirect
175. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
183. D3×#95C22semidirect
184. #4660C22semidirect
185. #4656C22semidirect
186. #4656C22semidirect
187. #4651C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
212. #2467D3semidirect
379. #893D4semidirect
478. C2×C4×D4C2×D3semidirect
485. #399C2×D3semidirect
506. #394C2×D3semidirect
553. #388C2×D3semidirect
556. #387C2×D3semidirect
557. #387C2×D3semidirect
578. #380C2×D3semidirect
583. C4×C22⋊C4C2×D3semidirect
1876. C3#40501semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#55532
C3×#24672
#831062
#824112
#781142
#781112
#771622
#771602
#771342
#771282
#767652
#767062
#764542
#764442
#759122
#759022
#756522
#755972
#753872
#753232
#753062
#751262
#749122
#748962
#748862
#746982
#740362
#740302
#736002
#735802
#405013