Finite Group Databasebeta

← #11633277

Subgroups — #11633277

Order 768.

2870 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#929C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2280C211yesmaximal, characteristic, complemented
4C2×#5213C211yesmaximal, characteristic, complemented
5#82275C211yesmaximal, characteristic, complemented
6#82255C211yesmaximal, characteristic, complemented
7#82242C211yesmaximal, characteristic, complemented
8#74131C211yesmaximal, characteristic, complemented
9#74126C211yesmaximal, characteristic, complemented
10#74076C211yesmaximal, characteristic, complemented
11#74065C211yesmaximal, characteristic, complemented
12#74040C211yesmaximal, characteristic, complemented
13#74021C211yesmaximal, characteristic, complemented
14#74018C211yesmaximal, characteristic, complemented
15#73969C211yesmaximal, characteristic, complemented
16#73968C211yesmaximal, characteristic, complemented
17#73964C211yesmaximal, characteristic, complemented
18#73910C211yesmaximal, characteristic, complemented
19#73889C211yesmaximal, characteristic, complemented
20#73852C211yesmaximal, characteristic
21#73850C211yesmaximal, characteristic, complemented
22#73850C211yesmaximal, characteristic, complemented
23#73828C211yesmaximal, characteristic, complemented
24#73601C211yesmaximal, characteristic, complemented
25#73594C211yesmaximal, characteristic, complemented
26#73589C211yesmaximal, characteristic, complemented
27#73577C211yesmaximal, characteristic, complemented
28#73535C211yesmaximal, characteristic, complemented
29#73503C211yesmaximal, characteristic, complemented
30#73500C211yesmaximal, characteristic, complemented
31#73461C211yesmaximal, characteristic, complemented
32#59011—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C2×C3×#117C2211yescharacteristic, complemented
37C2×C3×#117C2211yescharacteristic, complemented
38C22×#217C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#929—28no—
41C2×#929C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×#929C2211yescharacteristic, complemented
46C2×#929C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C22×Dic3⋊C4C2211yescharacteristic, complemented
54C22×Dic3⋊C4C2211yescharacteristic, complemented
55#5527—28no—
56C2×#898C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#882C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#876C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic, complemented
75C2×#872C2211yescharacteristic, complemented
76C3×#381C2211yescharacteristic, complemented
77C3×#381C2211yescharacteristic, complemented
78C3×#380C2211yescharacteristic, complemented
79C3×#380C2211yescharacteristic, complemented
80C3×#380C2211yescharacteristic, complemented
81C3×#380C2211yescharacteristic, complemented
82C3×#379C2211yescharacteristic
83C3×#379C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic, complemented
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic, complemented
97C2×C3⋊#95C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4985C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4960C2211yescharacteristic
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic
114#4958C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic, complemented
131#4955C2211yescharacteristic, complemented
132#4950C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4948C2211yescharacteristic, complemented
137#4947C2211yescharacteristic, complemented
138#4946C2211yescharacteristic, complemented
139#4946C2211yescharacteristic, complemented
140#4942C2211yescharacteristic, complemented
141#4942C2211yescharacteristic, complemented
142#4942C2211yescharacteristic, complemented
143#4942C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic, complemented
145Dic3×C22⋊C4C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4940C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic, complemented
152#4939C2211yescharacteristic, complemented
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4675C2211yescharacteristic, complemented
163#4675C2211yescharacteristic, complemented
164#4674C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#123—31no—
192#2706—31no—
193#2705—31no—
194#2696—31no—
195#2693—31no—
196#2557—31no—
197#2554—31no—
198#2534—31no—
199#2498—31no—
200#2488—31no—
201#2481—31no—
202#2481—31no—
203#2472—31no—
204#2471—31no—
205#2457—31no—
206#2437—31no—
207#2419—31no—
208#2418—31no—
209#2417—31no—
210#2412—31no—
211#2412—31no—
212#2411—31no—
213#2403—31no—
214#2359—31no—
215#2358—31no—
216#2352—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219C2×#386—31no—
220#2280D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C23×C3×C4—24no—
225C23×C3×C4—24no—
226C23×C3×C4—42no—
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67—24no—
234C22×#67—24no—
235C22×#67—24no—
236C22×#67—24no—
237C22×#67—42no—
238C22×#67—42no—
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×#117—24no—
263C3×#117—42no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊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×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217—24no—
285C2×#217—42no—
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#929—24no—
295#929—24no—
296#929—24no—
297#929—24no—
298#929—24no—
299#929—24no—
300#929—24no—
301#929D418yescomplemented
302C2×(C2×D3)⋊C4—24no—
303C2×(C2×D3)⋊C4—24no—
304C2×(C2×D3)⋊C4—24no—
305C2×(C2×D3)⋊C4—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×Dic3⋊C4—24no—
346C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#898—24no—
370#896—24no—
371#894—24no—
372#894—24no—
373#882—24no—
374#882—24no—
375#882—42no—
376#882—42no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#67⋊C4—42no—
380#67⋊C4—42no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—42no—
383#878—24no—
384#878—42no—
385#876—24no—
386#875—24no—
387C4×D12—24no—
388#872—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
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
423C23×D4—31no—
424C23×D4—31no—
425C24×C4C2×D311yescharacteristic
426#551—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—68no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×#117—31no—
454C2×#117C2×D311yescharacteristic, complemented
455C2×#117C2×D311yescharacteristic, complemented
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#400—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
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#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381C2×D311yescharacteristic, complemented
555#381C2×D311yescharacteristic, complemented
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380C2×D311yescharacteristic, complemented
563#380C2×D311yescharacteristic, complemented
564#380C2×D311yescharacteristic, complemented
565#380C2×D311yescharacteristic, complemented
566#379—31no—
567#379—31no—
568#379C2×D311yescharacteristic
569#379C2×D311yescharacteristic
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4C2×D311yescharacteristic, complemented
575C4×C22⋊C4C2×D311yescharacteristic, complemented
576C4×C22⋊C4C2×D311yescharacteristic, complemented
577C4×C22⋊C4C2×D311yescharacteristic, complemented
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3#4114yes—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
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—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—416no—
626C22×C3×C4C2×D414yes—
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
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—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—416no—
662C2×#67—416no—
663C2×#67C2×D414yes—
664C2×#67#4114yes—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
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×Dic6—22no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C3×C4⋊C4—22no—
723C3×C4⋊C4—22no—
724C3×C4⋊C4—41no—
725C3×C4⋊C4—41no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C42—22no—
739C3×C42—22no—
740C3×C42—41no—
741C3×C42—41no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—41no—
748#217—41no—
749#217C2×D414yes—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
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—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yescomplemented
785(C2×D3)⋊C4C2×D414yescomplemented
786C4⋊Dic3—22no—
787C4⋊Dic3—41no—
788C4⋊Dic3—41no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4C2×D414yescomplemented
806Dic3⋊C4C2×D414yescomplemented
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C25—31no—
812C25—31no—
813C25C22×D311yescharacteristic
814C22×Q8—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—64no—
828C22×D4—64no—
829C22×D4—64no—
830C22×D4—64no—
831C22×D4—122no—
832C22×D4—122no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—42no—
846C23×C4C22×D311yescharacteristic
847C23×C4C22×D311yescharacteristic
848C23×C4C22×D311yescharacteristic
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#123—38no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—64no—
860#123—64no—
861#123—64no—
862#123—64no—
863#123—64no—
864#123—64no—
865C22⋊Q8—64no—
866C22⋊Q8—64no—
867C22⋊Q8—122no—
868#120—64no—
869#120—64no—
870#120—122no—
871#120—122no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—122no—
876C4×D4—122no—
877#117—24no—
878#117—42no—
879#117—64no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
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—64no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
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—64no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—64no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—64no—
956C2×C22⋊C4—122no—
957C2×C22⋊C4—122no—
958C2×C22⋊C4—122no—
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42C22×D311yescharacteristic
976C2×C42C22×D311yescharacteristic
977C2×C42C22×D311yescharacteristic
978C2×C42C22×D311yescharacteristic
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
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#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—28no—
1022C23×C3—28no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—44no—
1030C23×C3—44no—
1031C23×C3—44no—
1032C23×C3—44no—
1033C23×C3—44no—
1034C23×C3C22×D412yes—
1035C23×C3C2×#4112yes—
1036C23×C3C2×#4112yes—
1037C23×C3C2×#4112yes—
1038C23×C3C2×#4112yes—
1039C23×C3H(5,𝔽2)12yes—
1040C23×C3H(5,𝔽2)12yes—
1041C23×C3C2511yescharacteristic
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—21no—
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—44no—
1075C22×D3—44no—
1076C22×D3—82no—
1077C22×D3—82no—
1078C22×D3—82no—
1079C22×D3—82no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3C22×D412yes—
1083C22×D3C2×#4112yes—
1084C2×C3×C4—28no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
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—44no—
1120C2×C3×C4—44no—
1121C2×C3×C4—44no—
1122C2×C3×C4—44no—
1123C2×C3×C4—44no—
1124C2×C3×C4C22×D412yes—
1125C2×C3×C4C22×D412yes—
1126#67—28no—
1127#67—28no—
1128#67—44no—
1129#67—44no—
1130#67—44no—
1131#67—44no—
1132#67—44no—
1133#67—44no—
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—21no—
1165C2×Dic3—21no—
1166C2×Dic3—44no—
1167C2×Dic3—44no—
1168C2×Dic3—44no—
1169C2×Dic3—44no—
1170C2×Dic3—82no—
1171C2×Dic3—82no—
1172C2×Dic3C22×D412yes—
1173C2×Dic3C22×D412yes—
1174C2×Dic3C22×D412yes—
1175C2×Dic3C2×#4112yes—
1176D12—44no—
1177D12—82no—
1178D12—82no—
1179D12—82no—
1180C4×D3—44no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184Dic6—82no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—31no—
1190C24—31no—
1191C24—31no—
1192C24—31no—
1193C24—41no—
1194C24—41no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—62no—
1200C24—62no—
1201C24—62no—
1202C24—62no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24#23514yes—
1210C24C23×D311yescharacteristic
1211C24C23×D311yescharacteristic
1212C24C23×D311yescharacteristic
1213C2×Q8—62no—
1214C2×Q8—121no—
1215C2×Q8—121no—
1216C2×D4—34no—
1217C2×D4—34no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
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—121no—
1241C2×D4—121no—
1242C2×D4—121no—
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—1216no—
1253C2×D4—1216no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
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—31no—
1278C22×C4—31no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—416no—
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×C4D3×D414yes—
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—34no—
1330C4⋊C4—34no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—34no—
1361C22⋊C4—34no—
1362C22⋊C4—34no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
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⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C42—22no—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—62no—
1413C42—62no—
1414C42—121no—
1415C42—121no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—22no—
1427C22×C3—22no—
1428C22×C3—22no—
1429C22×C3—22no—
1430C22×C3—22no—
1431C22×C3—416no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3#54614yes—
1437C22×C3#55114yescomplemented
1438C22×C3C23×D411yescharacteristic
1439C22×C3C22×#4111yescharacteristic
1440C22×C3C22×#4111yescharacteristic
1441C22×C3C2×H(5,𝔽2)11yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3#58511yescharacteristic
1444C22×C3#58511yescharacteristic
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
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—88no—
1474C2×D3—88no—
1475C3×C4—22no—
1476C3×C4—22no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487Dic3—22no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—22no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—28no—
1514C23—28no—
1515C23—32no—
1516C23—32no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—61no—
1523C23—61no—
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—124no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—242no—
1557C23—242no—
1558C23—242no—
1559C23—242no—
1560C23—242no—
1561C23—242no—
1562C23C2×#23512yes—
1563C23C2×#23512yes—
1564C23C2×#23512yes—
1565C23C2×D3×D412yes—
1566C23#100412yes—
1567C23D3×#4112yes—
1568C23#100912yes—
1569C23C24×D311yescharacteristic
1570Q8—242no—
1571D4—68no—
1572D4—68no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—124no—
1580D4—242no—
1581D4—242no—
1582D4—242no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—28no—
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—32no—
1619C2×C4—32no—
1620C2×C4—32no—
1621C2×C4—32no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
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—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—124no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4—242no—
1669C2×C4C2×D3×D412yes—
1670C2×C4C2×D3×D412yes—
1671C2×C3—24no—
1672C2×C3—24no—
1673C2×C3—42no—
1674C2×C3C2×#54611yescharacteristic
1675C2×C3D4×#4111yescharacteristic
1676C2×C3C2×#55111yescharacteristic
1677C2×C3#348811yescharacteristic
1678C2×C3#349111yescharacteristic
1679C2×C3#351311yescharacteristic
1680C2×C3#353411yescharacteristic
1681D3—42no—
1682D3—42no—
1683D3—81no—
1684D3—81no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—416no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—62no—
1706C22—62no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
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—248no—
1734C22—248no—
1735C22#549014yes—
1736C22#552714yescomplemented
1737C22C22×#23511yescharacteristic
1738C22C22×D3×D411yescharacteristic
1739C22C2×#100411yescharacteristic
1740C22C2×D3×#4111yescharacteristic
1741C22C2×#100911yescharacteristic
1742C22#596411yescharacteristic
1743C22#596411yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—62no—
1757C4—62no—
1758C4—62no—
1759C4—62no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5901111yescharacteristic, complemented, Sylow
1769C2—24no—
1770C2—24no—
1771C2—42no—
1772C2—122no—
1773C2—122no—
1774C2—241no—
1775C2—241no—
1776C2C2×#549011yescharacteristic
1777C2C2×#552711yescharacteristic
1778C2#8574511yescharacteristic
1779C2#8603711yescharacteristic
1780C2#8604111yescharacteristic
1781C2#8604511yescharacteristic
1782C2#8605011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2280C2
prime radical#73852C2
hypercenter#2280D3
hypocenterC3#59011
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
1. C22×#929C2semidirect
2. C2×#5527C2semidirect
3. C3×#2280C2semidirect
4. C2×#5213C2semidirect
5. #82275C2semidirect
6. #82255C2semidirect
7. #82242C2semidirect
8. #74131C2semidirect
9. #74126C2semidirect
10. #74076C2semidirect
11. #74065C2semidirect
12. #74040C2semidirect
13. #74021C2semidirect
14. #74018C2semidirect
15. #73969C2semidirect
16. #73968C2semidirect
17. #73964C2semidirect
18. #73910C2semidirect
19. #73889C2semidirect
21. #73850C2semidirect
22. #73850C2semidirect
23. #73828C2semidirect
24. #73601C2semidirect
25. #73594C2semidirect
26. #73589C2semidirect
27. #73577C2semidirect
28. #73535C2semidirect
29. #73503C2semidirect
30. #73500C2semidirect
31. #73461C2semidirect
36. C2×C3×#117C22semidirect
37. C2×C3×#117C22semidirect
45. C2×#929C22semidirect
46. C2×#929C22semidirect
47. C2×#929C22semidirect
48. C2×#929C22semidirect
49. C22×(C2×D3)⋊C4C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C22×Dic3⋊C4C22semidirect
54. C22×Dic3⋊C4C22semidirect
56. C2×#898C22semidirect
57. C2×#896C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
68. C2×D3×C22⋊C4C22semidirect
69. C2×D3×C22⋊C4C22semidirect
70. C2×#878C22semidirect
71. C2×#878C22semidirect
72. C2×#876C22semidirect
73. C2×#875C22semidirect
74. C2×C4×D12C22semidirect
75. C2×#872C22semidirect
76. C3×#381C22semidirect
77. C3×#381C22semidirect
78. C3×#380C22semidirect
79. C3×#380C22semidirect
80. C3×#380C22semidirect
81. C3×#380C22semidirect
84. C3×C4×C22⋊C4C22semidirect
85. C3×C4×C22⋊C4C22semidirect
86. C3×C4×C22⋊C4C22semidirect
87. C3×C4×C22⋊C4C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. C2×C3⋊#95C22semidirect
97. C2×C3⋊#95C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4993C22semidirect
101. #4992C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4989C22semidirect
106. #4985C22semidirect
107. #4983C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
122. #4957C22semidirect
123. #4957C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4955C22semidirect
131. #4955C22semidirect
132. #4950C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
135. #4948C22semidirect
136. #4948C22semidirect
137. #4947C22semidirect
138. #4946C22semidirect
139. #4946C22semidirect
140. #4942C22semidirect
141. #4942C22semidirect
142. #4942C22semidirect
143. #4942C22semidirect
144. Dic3×C22⋊C4C22semidirect
145. Dic3×C22⋊C4C22semidirect
146. #4940C22semidirect
147. #4940C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
151. #4939C22semidirect
152. #4939C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. #4933C22semidirect
155. #4933C22semidirect
156. #4933C22semidirect
157. C4×Dic3⋊C4C22semidirect
158. #4676C22semidirect
159. #4676C22semidirect
160. #4675C22semidirect
161. #4675C22semidirect
162. #4675C22semidirect
163. #4675C22semidirect
164. #4674C22semidirect
165. #4673C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4667C22semidirect
176. #4667C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4664C22semidirect
182. #4660C22semidirect
183. #4658C22semidirect
184. #4658C22semidirect
185. #4657C22semidirect
186. #4654C22semidirect
187. #4652C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
220. #2280D3semidirect
301. #929D4semidirect
454. C2×#117C2×D3semidirect
455. C2×#117C2×D3semidirect
554. #381C2×D3semidirect
555. #381C2×D3semidirect
562. #380C2×D3semidirect
563. #380C2×D3semidirect
564. #380C2×D3semidirect
565. #380C2×D3semidirect
574. C4×C22⋊C4C2×D3semidirect
575. C4×C22⋊C4C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
577. C4×C22⋊C4C2×D3semidirect
784. (C2×D3)⋊C4C2×D4semidirect
785. (C2×D3)⋊C4C2×D4semidirect
805. Dic3⋊C4C2×D4semidirect
806. Dic3⋊C4C2×D4semidirect
1437. C22×C3#551semidirect
1736. C22#5527semidirect
1768. C3#59011semidirect

Maximal subgroups

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

subgroupindex
C22×#9292
C2×#55272
C3×#22802
C2×#52132
#822752
#822552
#822422
#741312
#741262
#740762
#740652
#740402
#740212
#740182
#739692
#739682
#739642
#739102
#738892
#738522
#738502
#738282
#736012
#735942
#735892
#735772
#735352
#735032
#735002
#734612
#590113