Finite Group Databasebeta

← #11235324

Subgroups — #11235324

Order 768.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5647C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2681C211yesmaximal, characteristic, complemented
4#82893C211yesmaximal, characteristic, complemented
5#82873C211yesmaximal, characteristic, complemented
6#82834C211yesmaximal, characteristic, complemented
7#82827C211yesmaximal, characteristic, complemented
8#82816C211yesmaximal, characteristic, complemented
9#82716C211yesmaximal, characteristic, complemented
10#77967C211yesmaximal, characteristic, complemented
11#77757C211yesmaximal, characteristic, complemented
12#77448C211yesmaximal, characteristic, complemented
13#77418C211yesmaximal, characteristic, complemented
14#77145C211yesmaximal, characteristic, complemented
15#77135C211yesmaximal, characteristic, complemented
16#77130C211yesmaximal, characteristic, complemented
17#77108C211yesmaximal, characteristic, complemented
18#77106C211yesmaximal, characteristic, complemented
19#76905C211yesmaximal, characteristic, complemented
20#76853C211yesmaximal, characteristic, complemented
21#76790C211yesmaximal, characteristic, complemented
22#76436C211yesmaximal, characteristic, complemented
23#76393C211yesmaximal, characteristic, complemented
24#76265C211yesmaximal, characteristic, complemented
25#76225C211yesmaximal, characteristic, complemented
26#75844C211yesmaximal, characteristic, complemented
27#75490C211yesmaximal, characteristic, complemented
28#74926C211yesmaximal, characteristic, complemented
29#74888C211yesmaximal, characteristic, complemented
30#74656C211yesmaximal, characteristic, complemented
31#74629C211yesmaximal, characteristic, complemented
32#45443—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C2×C3×C22⋊Q8C2211yescharacteristic, complemented
40C2×C3×#121C2211yescharacteristic
41C2×#947C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×#929C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53#5647—28no—
54D3×#121—28no—
55C2×#897C2211yescharacteristic, complemented
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×#889C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic
80C3×#398C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#393C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic, complemented
87C3×#389C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91#5231C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5220C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5212C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4987C2211yescharacteristic
119#4987C2211yescharacteristic
120#4987C2211yescharacteristic, complemented
121#4984C2211yescharacteristic, complemented
122#4982C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic
151#4955C2211yescharacteristic
152#4955C2211yescharacteristic
153#4953C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4946C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4942C2211yescharacteristic, complemented
163#4940C2211yescharacteristic, complemented
164#4939C2211yescharacteristic, complemented
165#4933C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4667C2211yescharacteristic, complemented
176#4666C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4656C2211yescharacteristic, complemented
189#4655C2211yescharacteristic, complemented
190C2×#562—31no—
191C22×#121—31no—
192#2849—31no—
193#2848—31no—
194#2816—31no—
195#2813—31no—
196#2711—31no—
197#2708—31no—
198#2701—31no—
199#2686—31no—
200#2682—31no—
201#2681D311yescharacteristic, complemented
202#2676—31no—
203#2676—31no—
204#2672—31no—
205#2671—31no—
206#2671—31no—
207#2671—31no—
208#2473—31no—
209#2472—31no—
210#2449—31no—
211#2437—31no—
212#2437—31no—
213#2435—31no—
214#2418—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2405—31no—
219#2405—31no—
220#2377—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—24no—
243C2×D3×D4—24no—
244C2×D3×D4—42no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C2×D3×D4—42no—
248C2×D3×D4—42no—
249C2×D3×D4—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3—42no—
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C3×#123—42no—
271C3×C22⋊Q8—24no—
272C3×C22⋊Q8—42no—
273C3×#121—24no—
274C2×C3×C4⋊C4C2311yescharacteristic
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×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×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307#947—24no—
308#946—24no—
309#946—42no—
310#939—24no—
311#939—24no—
312#939—42no—
313#938—24no—
314#938—42no—
315#930—24no—
316#930—24no—
317#929—24no—
318C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
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
378#897—24no—
379#896—24no—
380#896—42no—
381#895—24no—
382#895—24no—
383#895—42no—
384#894—24no—
385#894—24no—
386#894—42no—
387D3×C4⋊C4—24no—
388#889—24no—
389#885—24no—
390#885—42no—
391#884—24no—
392#884—24no—
393#884D418yescomplemented
394#883—24no—
395#883—42no—
396#882—42no—
397#882—42no—
398#882—42no—
399D3×C22⋊C4—24no—
400D3×C22⋊C4—24no—
401D3×C22⋊C4—42no—
402C4×D12—42no—
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
429C23×D4—31no—
430C23×D4—31no—
431C23×D4—31no—
432C24×C4—31no—
433#562—68no—
434C2×#125—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123C2×D311yescharacteristic, complemented
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8C2×D311yescharacteristic, complemented
451C2×C22⋊Q8C2×D311yescharacteristic, complemented
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—68no—
466C2×#121C2×D311yescharacteristic
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×C4×D4—31no—
471C22×C4⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476#400—31no—
477#399—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#398—31no—
482#398—31no—
483#398—31no—
484#398C2×D311yescharacteristic, complemented
485#397—31no—
486#397—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396C2×D311yescharacteristic, complemented
492#395—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#394—31no—
511#394—31no—
512#394C2×D311yescharacteristic, complemented
513#394C2×D311yescharacteristic, complemented
514#394C2×D311yescharacteristic, complemented
515#393—31no—
516#393—31no—
517#393C2×D311yescharacteristic, complemented
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390C2×D311yescharacteristic, complemented
529#389—31no—
530#389C2×D311yescharacteristic, complemented
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386C2×D311yescharacteristic, complemented
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—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—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
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×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C2×C3×Q8—22no—
616C2×C3×Q8—41no—
617C2×C3×Q8—41no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
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×#67C2×D414yes—
671C2×#67C2×D414yes—
672C22×Dic3—22no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689D3×D4—416no—
690D3×D4—416no—
691D3×D4—416no—
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—41no—
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×D12C2×D414yes—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
725C2×C4×D3—22no—
726C2×C4×D3—416no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3C2×D414yes—
741C2×Dic6—22no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4—22no—
748C3×C4⋊C4—22no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—41no—
752C3×C4⋊C4—41no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C22⋊C4—41no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C22⋊C4—41no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4C2×D414yes—
766C3×C42—41no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
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—41no—
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)⋊C4C2×D414yes—
814C4⋊Dic3—22no—
815C4⋊Dic3—22no—
816C4⋊Dic3—22no—
817C4⋊Dic3—41no—
818C4⋊Dic3—41no—
819C4⋊Dic3—41no—
820C4⋊Dic3—41no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—41no—
827Dic3⋊C4—41no—
828Dic3⋊C4—41no—
829Dic3⋊C4—41no—
830Dic3⋊C4—41no—
831Dic3⋊C4—41no—
832Dic3⋊C4—41no—
833Dic3⋊C4C2×D414yes—
834C4×Dic3—22no—
835C4×Dic3—41no—
836C25—31no—
837C25—31no—
838C25—31no—
839C22×Q8—31no—
840C22×Q8C22×D311yescharacteristic
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—64no—
858C22×D4—64no—
859C22×D4—64no—
860C22×D4—122no—
861C22×D4—122no—
862C22×D4—122no—
863C22×D4—122no—
864C22×D4—122no—
865C22×D4—122no—
866C22×D4C22×D311yescharacteristic
867C22×D4C22×D311yescharacteristic
868C22×D4C22×D311yescharacteristic
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—64no—
881C23×C4—122no—
882C23×C4—122no—
883C23×C4C22×D311yescharacteristic
884C23×C4C22×D311yescharacteristic
885#125—64no—
886#124—64no—
887#124—64no—
888#124—122no—
889#123—42no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895#123—122no—
896C22⋊Q8—24no—
897C22⋊Q8—42no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—64no—
901C22⋊Q8—122no—
902C22⋊Q8—122no—
903#121—24no—
904#121—38no—
905#121—64no—
906#121—64no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—122no—
915#121—122no—
916#121—122no—
917#120—122no—
918#120—122no—
919#120—122no—
920C4×D4—122no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
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—64no—
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C4⋊C4C22×D311yescharacteristic
944C2×C4⋊C4C22×D311yescharacteristic
945C2×C4⋊C4C22×D311yescharacteristic
946C2×C4⋊C4C22×D311yescharacteristic
947C2×C4⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
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—64no—
999C2×C22⋊C4—64no—
1000C2×C22⋊C4—122no—
1001C2×C22⋊C4—122no—
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1016C2×C42—31no—
1017C2×C42C22×D311yescharacteristic
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
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#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
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×C3C22×D412yes—
1064C23×C3H(5,𝔽2)12yes—
1065C23×C3C2511yescharacteristic
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—28no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
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—44no—
1098C22×D3—44no—
1099C22×D3—44no—
1100C22×D3—44no—
1101C22×D3—44no—
1102C22×D3—44no—
1103C22×D3—44no—
1104C22×D3—44no—
1105C22×D3—44no—
1106C22×D3—44no—
1107C22×D3—44no—
1108C22×D3—44no—
1109C22×D3—44no—
1110C22×D3—44no—
1111C22×D3—82no—
1112C22×D3—82no—
1113C22×D3—82no—
1114C22×D3—82no—
1115C22×D3—82no—
1116C22×D3—82no—
1117C22×D3C22×D412yes—
1118C22×D3C22×D412yes—
1119C22×D3H(5,𝔽2)12yes—
1120C22×D3H(5,𝔽2)12yes—
1121C22×D32−1+412yes—
1122C3×Q8—82no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
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—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—44no—
1160C2×C3×C4—82no—
1161C2×C3×C4C22×D412yes—
1162C2×C3×C4C22×D412yes—
1163C2×C3×C4H(5,𝔽2)12yes—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—44no—
1169#67—44no—
1170#67—82no—
1171#67—82no—
1172#67—82no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
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—44no—
1205C2×Dic3—82no—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208D12—44no—
1209D12—44no—
1210D12—44no—
1211D12—44no—
1212D12—82no—
1213D12—82no—
1214D12—82no—
1215C4×D3—28no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—44no—
1219C4×D3—44no—
1220C4×D3—44no—
1221C4×D3—82no—
1222C4×D3—82no—
1223C4×D3—82no—
1224Dic6—82no—
1225C24—31no—
1226C24—31no—
1227C24—31no—
1228C24—31no—
1229C24—31no—
1230C24—62no—
1231C24—62no—
1232C24—62no—
1233C24—62no—
1234C24—62no—
1235C24—62no—
1236C24—62no—
1237C24—62no—
1238C24—62no—
1239C24—62no—
1240C24—62no—
1241C24—62no—
1242C24—62no—
1243C24—121no—
1244C24—121no—
1245C24—121no—
1246C24—121no—
1247C24—121no—
1248C24—121no—
1249C24—121no—
1250C24—121no—
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—22no—
1255C2×Q8—41no—
1256C2×Q8—41no—
1257C2×Q8—62no—
1258C2×Q8—121no—
1259C2×Q8—121no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—34no—
1267C2×D4—34no—
1268C2×D4—34no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
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—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—1216no—
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—1216no—
1319C2×D4—1216no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—34no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4—121no—
1360C22×C4—121no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—1216no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—34no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—121no—
1402C4⋊C4—121no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C4⋊C4—121no—
1407C4⋊C4—121no—
1408C4⋊C4—121no—
1409C4⋊C4—121no—
1410C4⋊C4—121no—
1411C4⋊C4—121no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—34no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4D3×D414yes—
1472C42—41no—
1473C42—62no—
1474C42—121no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3C23×D411yescharacteristic
1497C22×C3C2×H(5,𝔽2)11yescharacteristic
1498C22×C3C2×H(5,𝔽2)11yescharacteristic
1499C22×C3C2×H(5,𝔽2)11yescharacteristic
1500C22×C3C2×H(5,𝔽2)11yescharacteristic
1501C22×C3C2×2−1+411yescharacteristic
1502C22×C3#58511yescharacteristic
1503C2×D3—22no—
1504C2×D3—22no—
1505C2×D3—22no—
1506C2×D3—22no—
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—22no—
1511C2×D3—22no—
1512C2×D3—22no—
1513C2×D3—22no—
1514C2×D3—22no—
1515C2×D3—416no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
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—88no—
1539C2×D3—88no—
1540C2×D3#56214yescomplemented
1541C3×C4—22no—
1542C3×C4—22no—
1543C3×C4—22no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549C3×C4—41no—
1550C3×C4—41no—
1551C3×C4—41no—
1552C3×C4—41no—
1553Dic3—22no—
1554Dic3—22no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3—41no—
1561Dic3—41no—
1562Dic3—41no—
1563Dic3—41no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—32no—
1584C23—32no—
1585C23—32no—
1586C23—32no—
1587C23—32no—
1588C23—68no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—124no—
1620C23—124no—
1621C23—124no—
1622C23—124no—
1623C23—124no—
1624C23—124no—
1625C23—124no—
1626C23—124no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—124no—
1632C23—124no—
1633C23—242no—
1634C23—242no—
1635C23—242no—
1636C23—242no—
1637C23—242no—
1638C23—242no—
1639C23C2×D3×D412yes—
1640C23#100912yes—
1641C23C24×D311yescharacteristic
1642Q8—82no—
1643Q8—242no—
1644D4—44no—
1645D4—44no—
1646D4—44no—
1647D4—124no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—242no—
1658D4—242no—
1659D4—242no—
1660D4—242no—
1661D4—242no—
1662D4—242no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—32no—
1697C2×C4—32no—
1698C2×C4—44no—
1699C2×C4—68no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—82no—
1732C2×C4—124no—
1733C2×C4—124no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—242no—
1739C2×C4—242no—
1740C2×C4—242no—
1741C2×C4—242no—
1742C2×C4C2×D3×D412yes—
1743C2×C4C2×D3×D412yes—
1744C2×C4#100412yes—
1745C2×C3—42no—
1746C2×C3—42no—
1747C2×C3—81no—
1748C2×C3#348411yescharacteristic
1749C2×C3#348411yescharacteristic
1750C2×C3#348911yescharacteristic
1751C2×C3C2×#56211yescharacteristic
1752C2×C3#353411yescharacteristic
1753C2×C3#353611yescharacteristic
1754C2×C3#354211yescharacteristic
1755D3—24no—
1756D3—42no—
1757D3—42no—
1758D3—81no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—34no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—1216no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22—121no—
1817C22—248no—
1818C22—248no—
1819C22C22×D3×D411yescharacteristic
1820C22C2×#100411yescharacteristic
1821C22C2×#100911yescharacteristic
1822C22D3×H(5,𝔽2)11yescharacteristic
1823C22D3×H(5,𝔽2)11yescharacteristic
1824C22D3×2−1+411yescharacteristic
1825C22#596811yescharacteristic
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—62no—
1839C4—62no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C4—121no—
1849C3#4544311yescharacteristic, complemented, Sylow
1850C2—42no—
1851C2—42no—
1852C2—64no—
1853C2—81no—
1854C2—122no—
1855C2—122no—
1856C2—241no—
1857C2—241no—
1858C2#8635611yescharacteristic
1859C2#8638611yescharacteristic
1860C2#8645911yescharacteristic
1861C2#8662011yescharacteristic
1862C2#8666211yescharacteristic
1863C2#8673911yescharacteristic
1864C2D3×#56211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2681C2
hypercenter#2681D3
hypocenterC3#45443
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#5647C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2681C2semidirect
4. #82893C2semidirect
5. #82873C2semidirect
6. #82834C2semidirect
7. #82827C2semidirect
8. #82816C2semidirect
9. #82716C2semidirect
10. #77967C2semidirect
11. #77757C2semidirect
12. #77448C2semidirect
13. #77418C2semidirect
14. #77145C2semidirect
15. #77135C2semidirect
16. #77130C2semidirect
17. #77108C2semidirect
18. #77106C2semidirect
19. #76905C2semidirect
20. #76853C2semidirect
21. #76790C2semidirect
22. #76436C2semidirect
23. #76393C2semidirect
24. #76265C2semidirect
25. #76225C2semidirect
26. #75844C2semidirect
27. #75490C2semidirect
28. #74926C2semidirect
29. #74888C2semidirect
30. #74656C2semidirect
31. #74629C2semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×C22⋊Q8C22semidirect
39. C2×C3×C22⋊Q8C22semidirect
41. C2×#947C22semidirect
43. C2×#946C22semidirect
46. C2×#939C22semidirect
48. C2×#938C22semidirect
50. C2×#930C22semidirect
51. C2×#929C22semidirect
55. C2×#897C22semidirect
57. C2×#896C22semidirect
59. C2×#895C22semidirect
60. C2×#895C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
65. C2×#889C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
70. C2×#884C22semidirect
71. C2×#883C22semidirect
72. C2×#883C22semidirect
80. C3×#398C22semidirect
81. C3×#396C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
84. C3×#394C22semidirect
85. C3×#393C22semidirect
86. C3×#390C22semidirect
87. C3×#389C22semidirect
88. C3×#388C22semidirect
89. C3×#386C22semidirect
90. C3×#385C22semidirect
91. #5231C22semidirect
92. #5223C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5220C22semidirect
96. #5213C22semidirect
97. #5212C22semidirect
98. #5210C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
120. #4987C22semidirect
121. #4984C22semidirect
122. #4982C22semidirect
123. #4980C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4958C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
153. #4953C22semidirect
154. #4950C22semidirect
155. #4949C22semidirect
156. #4948C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4946C22semidirect
160. #4946C22semidirect
161. #4945C22semidirect
162. #4942C22semidirect
163. #4940C22semidirect
164. #4939C22semidirect
165. #4933C22semidirect
166. #4677C22semidirect
167. #4675C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4671C22semidirect
172. #4670C22semidirect
175. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4664C22semidirect
185. #4658C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4656C22semidirect
189. #4655C22semidirect
201. #2681D3semidirect
393. #884D4semidirect
444. C2×#123C2×D3semidirect
450. C2×C22⋊Q8C2×D3semidirect
451. C2×C22⋊Q8C2×D3semidirect
484. #398C2×D3semidirect
491. #396C2×D3semidirect
512. #394C2×D3semidirect
513. #394C2×D3semidirect
514. #394C2×D3semidirect
517. #393C2×D3semidirect
528. #390C2×D3semidirect
530. #389C2×D3semidirect
534. #388C2×D3semidirect
551. #386C2×D3semidirect
569. #385C2×D3semidirect
1540. C2×D3#562semidirect
1849. C3#45443semidirect

Maximal subgroups

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

subgroupindex
C2×#56472
C2×D3×#1212
C3×#26812
#828932
#828732
#828342
#828272
#828162
#827162
#779672
#777572
#774482
#774182
#771452
#771352
#771302
#771082
#771062
#769052
#768532
#767902
#764362
#763932
#762652
#762252
#758442
#754902
#749262
#748882
#746562
#746292
#454433