Finite Group Databasebeta

← #11301718

Subgroups — #11301718

Order 768.

2928 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×D4×D12C211yesmaximal, characteristic, complemented
3C3×#2455C211yesmaximal, characteristic, complemented
4#82907C211yesmaximal, characteristic, complemented
5#82903C211yesmaximal, characteristic, complemented
6#82873C211yesmaximal, characteristic, complemented
7#82411C211yesmaximal, characteristic, complemented
8#82403C211yesmaximal, characteristic, complemented
9#82371C211yesmaximal, characteristic, complemented
10#78116C211yesmaximal, characteristic, complemented
11#78101C211yesmaximal, characteristic, complemented
12#77136C211yesmaximal, characteristic, complemented
13#77129C211yesmaximal, characteristic, complemented
14#77106C211yesmaximal, characteristic, complemented
15#76905C211yesmaximal, characteristic, complemented
16#76760C211yesmaximal, characteristic, complemented
17#76755C211yesmaximal, characteristic, complemented
18#76265C211yesmaximal, characteristic, complemented
19#76259C211yesmaximal, characteristic, complemented
20#76020C211yesmaximal, characteristic, complemented
21#76004C211yesmaximal, characteristic, complemented
22#75918C211yesmaximal, characteristic, complemented
23#75914C211yesmaximal, characteristic, complemented
24#75840C211yesmaximal, characteristic, complemented
25#75512C211yesmaximal, characteristic, complemented
26#74629C211yesmaximal, characteristic, complemented
27#74628C211yesmaximal, characteristic, complemented
28#74599C211yesmaximal, characteristic, complemented
29#74599C211yesmaximal, characteristic, complemented
30#74512C211yesmaximal, characteristic, complemented
31#74432C211yesmaximal, characteristic, complemented
32#47829—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×C4×D4C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#938C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51#5657—28no—
52D4×D12—28no—
53C2×#898C2211yescharacteristic, complemented
54C2×#897C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic
57C2×#895C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#893C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic, complemented
70C2×#883C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#879C2211yescharacteristic, complemented
78C2×#874C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic
80C3×#399C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic
84C3×#389C2211yescharacteristic, complemented
85C3×#389C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5213C2211yescharacteristic, complemented
97#5212C2211yescharacteristic, complemented
98#5211C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100#5210C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4990C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4988C2211yescharacteristic, complemented
119#4988C2211yescharacteristic, complemented
120#4988C2211yescharacteristic, complemented
121#4987C2211yescharacteristic, complemented
122#4984C2211yescharacteristic, complemented
123#4982C2211yescharacteristic, complemented
124#4981C2211yescharacteristic, complemented
125#4980C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4955C2211yescharacteristic, complemented
156#4951C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic, complemented
163#4939C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#4664C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×D42—31no—
191C2×#538—31no—
192#2701—31no—
193#2686—31no—
194#2685—31no—
195#2685—31no—
196#2682—31no—
197#2681—31no—
198#2678—31no—
199#2678—31no—
200#2673—31no—
201#2672—31no—
202#2671—31no—
203#2670—31no—
204#2613—31no—
205#2613—31no—
206#2468—31no—
207#2466—31no—
208#2464—31no—
209#2461—31no—
210#2456—31no—
211#2455D311yescharacteristic, complemented
212#2445—31no—
213#2435—31no—
214#2418—31no—
215#2410—31no—
216#2408—31no—
217#2405—31no—
218#2405—31no—
219#2405—31no—
220#2375—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C22×D12—24no—
248C22×D12—24no—
249C22×D12—42no—
250C22×D12—42no—
251C22×D12—42no—
252C22×D12—42no—
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#123—24no—
272C3×#123—42no—
273C3×C4×D4—24no—
274C3×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308#938—24no—
309#937—24no—
310#937—42no—
311#937—42no—
312#937—42no—
313#930—24no—
314#930—24no—
315#930—24no—
316#930—42no—
317C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380#898—24no—
381#897—24no—
382#896—42no—
383#895—24no—
384#895—24no—
385#894—24no—
386#894—42no—
387#894—42no—
388#894—42no—
389#894—42no—
390#893—24no—
391#885—24no—
392#885—24no—
393#885—42no—
394#884—24no—
395#884—42no—
396#883—42no—
397#883—42no—
398#882—24no—
399#882—24no—
400#882—24no—
401#882D418yescomplemented
402D3×C22⋊C4—24no—
403D3×C22⋊C4—42no—
404#879—24no—
405#874—24no—
406C4×D12—24no—
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
429C23×D4—31no—
430C23×D4—31no—
431C23×D4—31no—
432C23×D4—31no—
433D42—68no—
434#538—68no—
435C2×#127—31no—
436C2×#126—31no—
437C2×#126—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123C2×D311yescharacteristic, complemented
449C2×#123C2×D311yescharacteristic, complemented
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—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×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4C2×D311yescharacteristic
473C2×C4×D4C2×D311yescharacteristic, complemented
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476#399—31no—
477#399C2×D311yescharacteristic, complemented
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—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#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic
511#394C2×D311yescharacteristic, complemented
512#393—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#392C2×D311yescharacteristic
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#389—31no—
534#389C2×D311yescharacteristic, complemented
535#389C2×D311yescharacteristic, complemented
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388C2×D311yescharacteristic, complemented
547#388C2×D311yescharacteristic, complemented
548#387—31no—
549#387—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385C2×D311yescharacteristic, complemented
568#385C2×D311yescharacteristic, complemented
569#385C2×D311yescharacteristic, complemented
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584C4×C4⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2×D414yes—
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
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—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67C2×D414yes—
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693D3×D4—416no—
694D3×D4—416no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—416no—
713C2×D12—416no—
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×D12C2×D414yes—
729C2×D12C2×D414yes—
730C2×C4×D3—22no—
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—41no—
738C2×C4×D3—41no—
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×Dic6—22no—
749C2×Dic6—41no—
750C2×Dic6—41no—
751C3×C4⋊C4—22no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—22no—
756C3×C4⋊C4—22no—
757C3×C4⋊C4—41no—
758C3×C4⋊C4—41no—
759C3×C4⋊C4—41no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4C2×D414yes—
772C3×C42—22no—
773C3×C42—41no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
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—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
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)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4C2×D414yes—
827(C2×D3)⋊C4C2×D414yes—
828C4⋊Dic3—22no—
829C4⋊Dic3—22no—
830C4⋊Dic3—22no—
831C4⋊Dic3—41no—
832C4⋊Dic3—41no—
833C4⋊Dic3—41no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—41no—
840Dic3⋊C4—41no—
841Dic3⋊C4—41no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—41no—
845C4×Dic3—41no—
846C25—31no—
847C25—31no—
848C25—31no—
849C25—31no—
850C22×Q8—31no—
851C22×D4—31no—
852C22×D4—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—64no—
873C22×D4—64no—
874C22×D4—64no—
875C22×D4—64no—
876C22×D4—122no—
877C22×D4—122no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4—122no—
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—64no—
897#126—64no—
898#126—64no—
899#124—64no—
900#124—64no—
901#124—122no—
902#123—24no—
903#123—42no—
904#123—64no—
905#123—122no—
906#123—122no—
907#123—122no—
908#123—122no—
909#123—122no—
910#123—122no—
911C22⋊Q8—64no—
912C22⋊Q8—122no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—122no—
921#121—122no—
922#120—38no—
923#120—64no—
924#120—64no—
925#120—64no—
926#120—64no—
927#120—122no—
928#120—122no—
929#120—122no—
930C4×D4—24no—
931C4×D4—42no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
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—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—64no—
1013C2×C22⋊C4—122no—
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C42—31no—
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42C22×D311yescharacteristic
1031C2×C42C22×D311yescharacteristic
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#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
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×C3C22×D412yes—
1074C23×C3H(5,𝔽2)12yes—
1075C23×C3C2511yescharacteristic
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—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3C22×D412yes—
1143C22×D3C22×D412yes—
1144C22×D3C22×D412yes—
1145C22×D3H(5,𝔽2)12yes—
1146C3×D4—28no—
1147C3×D4—44no—
1148C3×D4—82no—
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—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—44no—
1182C2×C3×C4—44no—
1183C2×C3×C4—82no—
1184C2×C3×C4C22×D412yes—
1185C2×C3×C4C22×D412yes—
1186C2×C3×C4H(5,𝔽2)12yes—
1187C2×C3×C4H(5,𝔽2)12yes—
1188#67—44no—
1189#67—44no—
1190#67—44no—
1191#67—44no—
1192#67—44no—
1193#67—82no—
1194#67—82no—
1195#67—82no—
1196#67—82no—
1197#67—82no—
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×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3C22×D412yes—
1228D12—28no—
1229D12—44no—
1230D12—44no—
1231D12—44no—
1232D12—44no—
1233D12—44no—
1234D12—44no—
1235D12—44no—
1236D12—44no—
1237D12—44no—
1238D12—82no—
1239C4×D3—44no—
1240C4×D3—44no—
1241C4×D3—82no—
1242C4×D3—82no—
1243C4×D3—82no—
1244C4×D3—82no—
1245Dic6—82no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—31no—
1250C24—34no—
1251C24—31no—
1252C24—31no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—62no—
1259C24—62no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24—121no—
1270C24—121no—
1271C24—121no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24C23×D311yescharacteristic
1281C24C23×D311yescharacteristic
1282C24C23×D311yescharacteristic
1283C2×Q8—62no—
1284C2×Q8—121no—
1285C2×Q8—121no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—34no—
1292C2×D4—34no—
1293C2×D4—34no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
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—1216no—
1339C2×D4—1216no—
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—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—1216no—
1361C2×D4—1216no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
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×C4—121no—
1398C22×C4—121no—
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
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—34no—
1441C22⋊C4—34no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
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—121no—
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—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4D3×D414yes—
1500C42—22no—
1501C42—41no—
1502C42—62no—
1503C42—62no—
1504C42—121no—
1505C42—121no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—22no—
1511C22×C3—22no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3C23×D411yescharacteristic
1528C22×C3C2×H(5,𝔽2)11yescharacteristic
1529C22×C3C2×H(5,𝔽2)11yescharacteristic
1530C22×C3C2×H(5,𝔽2)11yescharacteristic
1531C22×C3C2×H(5,𝔽2)11yescharacteristic
1532C22×C3#58511yescharacteristic
1533C22×C3#58511yescharacteristic
1534C2×D3—22no—
1535C2×D3—22no—
1536C2×D3—22no—
1537C2×D3—22no—
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—22no—
1541C2×D3—22no—
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
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—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—88no—
1577C2×D3—88no—
1578C2×D3—88no—
1579C2×D3—88no—
1580C3×C4—22no—
1581C3×C4—22no—
1582C3×C4—22no—
1583C3×C4—22no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587C3×C4—41no—
1588C3×C4—41no—
1589C3×C4—41no—
1590C3×C4—41no—
1591C3×C4—41no—
1592Dic3—22no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597Dic3—41no—
1598Dic3—41no—
1599Dic3—41no—
1600Dic3—41no—
1601Dic3—41no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—32no—
1622C23—32no—
1623C23—32no—
1624C23—32no—
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—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—124no—
1664C23—124no—
1665C23—124no—
1666C23—124no—
1667C23—124no—
1668C23—124no—
1669C23—124no—
1670C23—124no—
1671C23—124no—
1672C23—124no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23—242no—
1678C23—242no—
1679C23—242no—
1680C23—242no—
1681C23—242no—
1682C23—242no—
1683C23—242no—
1684C23—242no—
1685C23—242no—
1686C23—242no—
1687C23—242no—
1688C23—242no—
1689C23—242no—
1690C23—242no—
1691C23C2×D3×D412yes—
1692C23#100912yes—
1693C23C24×D311yescharacteristic
1694Q8—242no—
1695D4—28no—
1696D4—44no—
1697D4—68no—
1698D4—82no—
1699D4—124no—
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—242no—
1714D4—242no—
1715D4—242no—
1716D4—242no—
1717D4—242no—
1718D4—242no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—32no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—82no—
1784C2×C4—124no—
1785C2×C4—124no—
1786C2×C4—242no—
1787C2×C4—242no—
1788C2×C4—242no—
1789C2×C4—242no—
1790C2×C4C2×D3×D412yes—
1791C2×C4C2×D3×D412yes—
1792C2×C4#100412yes—
1793C2×C4#100912yes—
1794C2×C3—42no—
1795C2×C3—42no—
1796C2×C3—81no—
1797C2×C3#348411yescharacteristic
1798C2×C3#348411yescharacteristic
1799C2×C3#348511yescharacteristic
1800C2×C3#353411yescharacteristic
1801C2×C3#354211yescharacteristic
1802C2×C3#354611yescharacteristic
1803C2×C3#355811yescharacteristic
1804D3—42no—
1805D3—42no—
1806D3—42no—
1807D3—42no—
1808D3—81no—
1809D3—81no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—62no—
1832C22—62no—
1833C22—62no—
1834C22—62no—
1835C22—62no—
1836C22—62no—
1837C22—62no—
1838C22—62no—
1839C22—62no—
1840C22—62no—
1841C22—62no—
1842C22—62no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—248no—
1874C22—248no—
1875C22—248no—
1876C22—248no—
1877C22C22×D3×D411yescharacteristic
1878C22C2×#100411yescharacteristic
1879C22C2×#100911yescharacteristic
1880C22C2×#100911yescharacteristic
1881C22#596411yescharacteristic
1882C22D3×H(5,𝔽2)11yescharacteristic
1883C22#596811yescharacteristic
1884C4—22no—
1885C4—22no—
1886C4—22no—
1887C4—22no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—62no—
1897C4—121no—
1898C4—121no—
1899C4—121no—
1900C4—121no—
1901C4—121no—
1902C4—121no—
1903C4—121no—
1904C4—121no—
1905C4—121no—
1906C3#4782911yescharacteristic, complemented, Sylow
1907C2—42no—
1908C2—42no—
1909C2—81no—
1910C2—122no—
1911C2—122no—
1912C2—122no—
1913C2—122no—
1914C2—241no—
1915C2—241no—
1916C2#8603311yescharacteristic
1917C2#8603911yescharacteristic
1918C2#8645911yescharacteristic
1919C2#8662011yescharacteristic
1920C2#8670011yescharacteristic
1921C2#8670711yescharacteristic
1922C2#8706911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2455C2
hypercenter#2455D3
hypocenterC3#47829
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×D4×D12C2semidirect
3. C3×#2455C2semidirect
4. #82907C2semidirect
5. #82903C2semidirect
6. #82873C2semidirect
7. #82411C2semidirect
8. #82403C2semidirect
9. #82371C2semidirect
10. #78116C2semidirect
11. #78101C2semidirect
12. #77136C2semidirect
13. #77129C2semidirect
14. #77106C2semidirect
15. #76905C2semidirect
16. #76760C2semidirect
17. #76755C2semidirect
18. #76265C2semidirect
19. #76259C2semidirect
20. #76020C2semidirect
21. #76004C2semidirect
22. #75918C2semidirect
23. #75914C2semidirect
24. #75840C2semidirect
25. #75512C2semidirect
26. #74629C2semidirect
27. #74628C2semidirect
28. #74599C2semidirect
29. #74599C2semidirect
30. #74512C2semidirect
31. #74432C2semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×#123C22semidirect
40. C2×C3×C4×D4C22semidirect
41. C2×#938C22semidirect
42. C2×#937C22semidirect
43. C2×#937C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
48. C2×#930C22semidirect
49. C2×#930C22semidirect
50. C2×C4×#67C22semidirect
53. C2×#898C22semidirect
54. C2×#897C22semidirect
55. C2×#896C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
60. C2×#894C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
63. C2×#893C22semidirect
64. C2×#885C22semidirect
65. C2×#885C22semidirect
66. C2×#885C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
69. C2×#883C22semidirect
70. C2×#883C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#879C22semidirect
80. C3×#399C22semidirect
82. C3×#394C22semidirect
84. C3×#389C22semidirect
85. C3×#389C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#385C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
96. #5213C22semidirect
97. #5212C22semidirect
98. #5211C22semidirect
99. #5210C22semidirect
100. #5210C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4992C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4990C22semidirect
115. #4990C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
118. #4988C22semidirect
119. #4988C22semidirect
120. #4988C22semidirect
121. #4987C22semidirect
122. #4984C22semidirect
123. #4982C22semidirect
124. #4981C22semidirect
125. #4980C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
138. #4959C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4955C22semidirect
154. #4955C22semidirect
155. #4955C22semidirect
156. #4951C22semidirect
157. #4948C22semidirect
158. #4945C22semidirect
159. #4944C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4939C22semidirect
163. #4939C22semidirect
164. #4933C22semidirect
165. C4×Dic3⋊C4C22semidirect
166. #4677C22semidirect
167. #4675C22semidirect
168. #4673C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4668C22semidirect
180. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. #4664C22semidirect
189. #4656C22semidirect
211. #2455D3semidirect
401. #882D4semidirect
448. C2×#123C2×D3semidirect
449. C2×#123C2×D3semidirect
473. C2×C4×D4C2×D3semidirect
477. #399C2×D3semidirect
511. #394C2×D3semidirect
534. #389C2×D3semidirect
535. #389C2×D3semidirect
546. #388C2×D3semidirect
547. #388C2×D3semidirect
567. #385C2×D3semidirect
568. #385C2×D3semidirect
569. #385C2×D3semidirect
1906. C3#47829semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×D4×D122
C3×#24552
#829072
#829032
#828732
#824112
#824032
#823712
#781162
#781012
#771362
#771292
#771062
#769052
#767602
#767552
#762652
#762592
#760202
#760042
#759182
#759142
#758402
#755122
#746292
#746282
#745992
#745122
#744322
#478293