Finite Group Databasebeta

← #11167577

Subgroups — #11167577

Order 768.

2704 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5554C211yesmaximal, characteristic, complemented
3C3×#2468C211yesmaximal, characteristic, complemented
4#83097C211yesmaximal, characteristic, complemented
5#82410C211yesmaximal, characteristic, complemented
6#77967C211yesmaximal, characteristic, complemented
7#77953C211yesmaximal, characteristic, complemented
8#77948C211yesmaximal, characteristic, complemented
9#77745C211yesmaximal, characteristic, complemented
10#77116C211yesmaximal, characteristic, complemented
11#77108C211yesmaximal, characteristic, complemented
12D3×#394C211yesmaximal, characteristic, complemented
13#76904C211yesmaximal, characteristic, complemented
14#75846C211yesmaximal, characteristic, complemented
15#75845C211yesmaximal, characteristic, complemented
16#75836C211yesmaximal, characteristic, complemented
17#75687C211yesmaximal, characteristic, complemented
18#75665C211yesmaximal, characteristic, complemented
19#75594C211yesmaximal, characteristic, complemented
20#75319C211yesmaximal, characteristic, complemented
21#75161C211yesmaximal, characteristic, complemented
22#74638C211yesmaximal, characteristic, complemented
23#74596C211yesmaximal, characteristic, complemented
24#74591C211yesmaximal, characteristic, complemented
25#74511C211yesmaximal, characteristic, complemented
26#74138C211yesmaximal, characteristic, complemented
27#74126C211yesmaximal, characteristic, complemented
28#73935C211yesmaximal, characteristic, complemented
29#73896C211yesmaximal, characteristic, complemented
30#73788C211yesmaximal, characteristic, complemented
31#73770C211yesmaximal, characteristic, complemented
32#43020—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#930C2211yescharacteristic
38C2×#930C2211yescharacteristic
39C2×#929C2211yescharacteristic, complemented
40C2×C4×#67C2211yescharacteristic, complemented
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43#5704—28no—
44#5554—28no—
45C2×#898C2211yescharacteristic, complemented
46C2×#897C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#894C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#888C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#885C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#875C2211yescharacteristic
77C2×#875C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic
79C2×C4×D12C2211yescharacteristic
80C2×C4×D12C2211yescharacteristic
81C3×#398C2211yescharacteristic, complemented
82C3×#398C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#387C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91C3×#381C2211yescharacteristic, complemented
92C3×#380C2211yescharacteristic, complemented
93C3×C4×C4⋊C4C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5222C2211yescharacteristic
96#5210C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic, complemented
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4955C2211yescharacteristic
136#4951C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4949C2211yescharacteristic, complemented
139#4946C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142Dic3×C22⋊C4C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147#4936C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic
184D3×#95C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2718—31no—
193#2715—31no—
194#2708—31no—
195#2706—31no—
196#2686—31no—
197#2682—31no—
198#2672—31no—
199#2671—31no—
200#2553—31no—
201#2537—31no—
202#2491—31no—
203#2468D311yescharacteristic, complemented
204#2455—31no—
205#2450—31no—
206#2443—31no—
207#2440—31no—
208#2437—31no—
209#2432—31no—
210#2430—31no—
211#2425—31no—
212#2424—31no—
213#2418—31no—
214#2412—31no—
215#2410—31no—
216C2×#394—31no—
217#2358—31no—
218#2358—31no—
219#2349—31no—
220#2315—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×#237—24no—
235C2×#237—42no—
236C2×#237—42no—
237C2×D3×D4—24no—
238C2×D3×D4—42no—
239C2×D3×D4—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C3×#126—24no—
262C3×C4×D4—24no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#930—24no—
292#930—24no—
293#929—42no—
294C4×#67—42no—
295C2×(C2×D3)⋊C4—24no—
296C2×(C2×D3)⋊C4—24no—
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#897—24no—
362#896—24no—
363#895—24no—
364#895—24no—
365#895—24no—
366#895—42no—
367#894—24no—
368#894—42no—
369#894—42no—
370#893—24no—
371#893—42no—
372D3×C4⋊C4—42no—
373#888—42no—
374#886—24no—
375#886—24no—
376#885—24no—
377#884—24no—
378#884—42no—
379#884—42no—
380#883—24no—
381#882—24no—
382#882—24no—
383#882—24no—
384#882D418yescomplemented
385D3×C22⋊C4—24no—
386D3×C22⋊C4—24no—
387D3×C22⋊C4—42no—
388D3×C22⋊C4—42no—
389D3×C22⋊C4—42no—
390#878—42no—
391#875—24no—
392#875—24no—
393C4×D12—24no—
394C4×D12—24no—
395C4×D12—24no—
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
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
426C22×#41—31no—
427C23×D4—31no—
428#546—68no—
429#538—68no—
430C2×C4⋊Q8—31no—
431C2×#126—31no—
432C2×#126C2×D311yescharacteristic, complemented
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4C2×D311yescharacteristic
466C22×C4⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474#400—31no—
475#399—31no—
476#399—31no—
477#399—31no—
478#398—31no—
479#398—31no—
480#398C2×D311yescharacteristic, complemented
481#398C2×D311yescharacteristic, complemented
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#395—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#394C2×D311yescharacteristic
508#394C2×D311yescharacteristic
509#393—31no—
510#393—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#391—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#389—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388C2×D311yescharacteristic, complemented
528#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
530#387—31no—
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
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#385C2×D311yescharacteristic, complemented
563#385C2×D311yescharacteristic, complemented
564#384—31no—
565#382—31no—
566#381C2×D311yescharacteristic, complemented
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380C2×D311yescharacteristic, complemented
576#379—31no—
577C4×C4⋊C4C2×D311yescharacteristic, complemented
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3C2×D414yes—
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67C2×D414yes—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661#237—416no—
662D3×D4—416no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12C2×D414yes—
686C2×D12C2×D414yes—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—41no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4—41no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4C2×D414yes—
745C3×C42—22no—
746C3×C42—22no—
747C3×C42—22no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—41no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4C2×D414yes—
790(C2×D3)⋊C4C2×D414yes—
791(C2×D3)⋊C4#4114yescomplemented
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799C4⋊Dic3—41no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3—41no—
817C25—31no—
818C25—31no—
819C2×#41—64no—
820C2×#41—122no—
821C2×#41—122no—
822C22×Q8—31no—
823C22×Q8—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—64no—
839C22×D4—122no—
840C22×D4—122no—
841C22×D4C22×D311yescharacteristic
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4C22×D311yescharacteristic
856C23×C4C22×D311yescharacteristic
857C4⋊Q8—122no—
858#126—24no—
859#126—64no—
860#124—64no—
861#124—64no—
862#124—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—122no—
868#123—122no—
869#123—122no—
870C22⋊Q8—64no—
871C22⋊Q8—64no—
872C22⋊Q8—122no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—64no—
879#121—122no—
880#121—122no—
881#121—122no—
882#120—38no—
883#120—64no—
884#120—64no—
885#120—64no—
886C4×D4—24no—
887C4×D4—64no—
888C4×D4—64no—
889C4×D4—64no—
890C4×D4—64no—
891C4×D4—122no—
892C4×D4—122no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—122no—
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
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—64no—
970C2×C22⋊C4—64no—
971C2×C22⋊C4—64no—
972C2×C22⋊C4—64no—
973C2×C22⋊C4—122no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C42—31no—
987C2×C42—31no—
988C2×C42—31no—
989C2×C42C22×D311yescharacteristic
990C2×C42C22×D311yescharacteristic
991C2×C42C22×D311yescharacteristic
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3C22×D412yes—
1035C23×C3H(5,𝔽2)12yes—
1036C23×C3C2511yescharacteristic
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—28no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—44no—
1069C22×D3—44no—
1070C22×D3—44no—
1071C22×D3—44no—
1072C22×D3—44no—
1073C22×D3—44no—
1074C22×D3—82no—
1075C22×D3—82no—
1076C22×D3—82no—
1077C22×D3—82no—
1078C22×D3—82no—
1079C22×D3—82no—
1080C22×D3—82no—
1081C22×D3C22×D412yes—
1082C22×D3C22×D412yes—
1083C22×D3C22×D412yes—
1084C22×D3C2×#4112yes—
1085C22×D32−1+412yes—
1086C3×D4—28no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—82no—
1123C2×C3×C4—82no—
1124C2×C3×C4C22×D412yes—
1125C2×C3×C4C22×D412yes—
1126C2×C3×C4C2×#4112yes—
1127C2×C3×C4H(5,𝔽2)12yes—
1128#67—44no—
1129#67—44no—
1130#67—44no—
1131#67—44no—
1132#67—44no—
1133#67—82no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—44no—
1165C2×Dic3—44no—
1166C2×Dic3C22×D412yes—
1167C2×Dic3C2×#4112yes—
1168C2×Dic3H(5,𝔽2)12yes—
1169D12—28no—
1170D12—44no—
1171D12—44no—
1172D12—44no—
1173D12—82no—
1174D12—82no—
1175D12—82no—
1176D12—82no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—82no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184C4×D3—82no—
1185C4×D3—82no—
1186C4×D3—82no—
1187C4×D3—82no—
1188Dic6—44no—
1189Dic6—82no—
1190C24—31no—
1191C24—31no—
1192C24—31no—
1193C24—34no—
1194C24—31no—
1195C24—31no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—62no—
1200C24—62no—
1201C24—62no—
1202C24—121no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211#41—1216no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—62no—
1215C2×Q8—121no—
1216C2×Q8—121no—
1217C2×Q8—121no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—34no—
1222C2×D4—34no—
1223C2×D4—34no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—1216no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—121no—
1352C4⋊C4—121no—
1353C4⋊C4—121no—
1354C4⋊C4—121no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—34no—
1372C22⋊C4—34no—
1373C22⋊C4—34no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4D3×D414yes—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—62no—
1422C42—62no—
1423C42—121no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—22no—
1427C22×C3—22no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3C23×D411yescharacteristic
1439C22×C3C22×#4111yescharacteristic
1440C22×C3C2×H(5,𝔽2)11yescharacteristic
1441C22×C3C2×H(5,𝔽2)11yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×2−1+411yescharacteristic
1444C22×C3#58511yescharacteristic
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—88no—
1480C2×D3—88no—
1481C2×D3#54714yes—
1482C3×C4—22no—
1483C3×C4—22no—
1484C3×C4—22no—
1485C3×C4—22no—
1486C3×C4—41no—
1487C3×C4—41no—
1488C3×C4—41no—
1489C3×C4—41no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495Dic3—22no—
1496Dic3—22no—
1497Dic3—22no—
1498Dic3—41no—
1499Dic3—41no—
1500Dic3—41no—
1501Dic3—41no—
1502Dic3—41no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—32no—
1519C23—32no—
1520C23—32no—
1521C23—32no—
1522C23—32no—
1523C23—68no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—124no—
1558C23—124no—
1559C23—124no—
1560C23—242no—
1561C23—242no—
1562C23—242no—
1563C23—242no—
1564C23—242no—
1565C23—242no—
1566C23—242no—
1567C23C2×D3×D412yes—
1568C23#100912yes—
1569C23C24×D311yescharacteristic
1570Q8—124no—
1571Q8—242no—
1572D4—28no—
1573D4—68no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—124no—
1581D4—124no—
1582D4—242no—
1583D4—242no—
1584D4—242no—
1585D4—242no—
1586D4—242no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—32no—
1623C2×C4—32no—
1624C2×C4—32no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—242no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4—242no—
1669C2×C4—242no—
1670C2×C4C2×D3×D412yes—
1671C2×C4C2×D3×D412yes—
1672C2×C4D3×#4112yes—
1673C2×C4#100912yes—
1674C2×C3—42no—
1675C2×C3—42no—
1676C2×C3C2×#54711yescharacteristic
1677C2×C3#348411yescharacteristic
1678C2×C3#349611yescharacteristic
1679C2×C3#351411yescharacteristic
1680C2×C3#351911yescharacteristic
1681C2×C3#353511yescharacteristic
1682C2×C3#353611yescharacteristic
1683D3—24no—
1684D3—42no—
1685D3—42no—
1686D3—81no—
1687D3—81no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—34no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—62no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—62no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—248no—
1738C22—248no—
1739C22C22×D3×D411yescharacteristic
1740C22C2×D3×#4111yescharacteristic
1741C22C2×#100911yescharacteristic
1742C22C2×#100911yescharacteristic
1743C22#596411yescharacteristic
1744C22D3×H(5,𝔽2)11yescharacteristic
1745C22D3×2−1+411yescharacteristic
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—62no—
1760C4—62no—
1761C4—62no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C4—121no—
1769C4—121no—
1770C3#4302011yescharacteristic, complemented, Sylow
1771C2—42no—
1772C2—42no—
1773C2—64no—
1774C2—122no—
1775C2—122no—
1776C2—241no—
1777C2—241no—
1778C2#8603911yescharacteristic
1779C2#8616211yescharacteristic
1780C2#8656111yescharacteristic
1781C2#8666511yescharacteristic
1782C2D3×#54711yescharacteristic
1783C2#8684411yescharacteristic
1784C2#8688811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2468C2
hypercenter#2468D3
hypocenterC3#43020
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5554C2semidirect
3. C3×#2468C2semidirect
4. #83097C2semidirect
5. #82410C2semidirect
6. #77967C2semidirect
7. #77953C2semidirect
8. #77948C2semidirect
9. #77745C2semidirect
10. #77116C2semidirect
11. #77108C2semidirect
12. D3×#394C2semidirect
13. #76904C2semidirect
14. #75846C2semidirect
15. #75845C2semidirect
16. #75836C2semidirect
17. #75687C2semidirect
18. #75665C2semidirect
19. #75594C2semidirect
20. #75319C2semidirect
21. #75161C2semidirect
22. #74638C2semidirect
23. #74596C2semidirect
24. #74591C2semidirect
25. #74511C2semidirect
26. #74138C2semidirect
27. #74126C2semidirect
28. #73935C2semidirect
29. #73896C2semidirect
30. #73788C2semidirect
31. #73770C2semidirect
35. C2×C3×#126C22semidirect
39. C2×#929C22semidirect
40. C2×C4×#67C22semidirect
45. C2×#898C22semidirect
51. C2×#895C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
54. C2×#894C22semidirect
56. C2×#893C22semidirect
58. C2×#888C22semidirect
61. C2×#885C22semidirect
63. C2×#884C22semidirect
64. C2×#884C22semidirect
65. C2×#883C22semidirect
75. C2×#878C22semidirect
77. C2×#875C22semidirect
81. C3×#398C22semidirect
82. C3×#398C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#387C22semidirect
89. C3×#385C22semidirect
90. C3×#385C22semidirect
91. C3×#381C22semidirect
92. C3×#380C22semidirect
93. C3×C4×C4⋊C4C22semidirect
96. #5210C22semidirect
97. #5210C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4993C22semidirect
103. #4990C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4988C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4986C22semidirect
116. #4981C22semidirect
117. #4979C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
128. #4959C22semidirect
129. #4958C22semidirect
130. #4958C22semidirect
131. #4957C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
136. #4951C22semidirect
137. #4950C22semidirect
138. #4949C22semidirect
139. #4946C22semidirect
140. #4946C22semidirect
141. #4946C22semidirect
142. Dic3×C22⋊C4C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4939C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. #4936C22semidirect
148. #4928C22semidirect
149. #4928C22semidirect
150. #4677C22semidirect
151. #4676C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4674C22semidirect
155. #4674C22semidirect
156. #4673C22semidirect
157. #4673C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4671C22semidirect
164. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
184. D3×#95C22semidirect
185. #4661C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
203. #2468D3semidirect
384. #882D4semidirect
432. C2×#126C2×D3semidirect
480. #398C2×D3semidirect
481. #398C2×D3semidirect
527. #388C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
531. #387C2×D3semidirect
562. #385C2×D3semidirect
563. #385C2×D3semidirect
566. #381C2×D3semidirect
575. #380C2×D3semidirect
577. C4×C4⋊C4C2×D3semidirect
791. (C2×D3)⋊C4#41semidirect
1770. C3#43020semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#55542
C3×#24682
#830972
#824102
#779672
#779532
#779482
#777452
#771162
#771082
D3×#3942
#769042
#758462
#758452
#758362
#756872
#756652
#755942
#753192
#751612
#746382
#745962
#745912
#745112
#741382
#741262
#739352
#738962
#737882
#737702
#430203