Finite Group Databasebeta

← #11025229

Subgroups — #11025229

Order 768.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#123C211yesmaximal, characteristic, complemented
2C2×#5665C211yesmaximal, characteristic, complemented
3C3×#2693C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82871C211yesmaximal, characteristic, complemented
6#78372C211yesmaximal, characteristic, complemented
7#78232C211yesmaximal, characteristic, complemented
8#78141C211yesmaximal, characteristic, complemented
9#78135C211yesmaximal, characteristic, complemented
10#77595C211yesmaximal, characteristic, complemented
11#77482C211yesmaximal, characteristic, complemented
12#77419C211yesmaximal, characteristic, complemented
13#77334C211yesmaximal, characteristic, complemented
14#77318C211yesmaximal, characteristic, complemented
15#77303C211yesmaximal, characteristic, complemented
16#76674C211yesmaximal, characteristic, complemented
17#76669C211yesmaximal, characteristic
18#74927C211yesmaximal, characteristic, complemented
19#74892C211yesmaximal, characteristic, complemented
20#74879C211yesmaximal, characteristic, complemented
21#74794C211yesmaximal, characteristic, complemented
22#74754C211yesmaximal, characteristic, complemented
23#74703C211yesmaximal, characteristic, complemented
24#74686C211yesmaximal, characteristic, complemented
25#74659C211yesmaximal, characteristic, complemented
26#74413C211yesmaximal, characteristic, complemented
27#74390C211yesmaximal, characteristic, complemented
28#74049C211yesmaximal, characteristic, complemented
29#74010C211yesmaximal, characteristic, complemented
30#73969C211yesmaximal, characteristic, complemented
31#73962C211yesmaximal, characteristic, complemented
32#37712—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#935C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic, complemented
44C2×D4×Dic3C2211yescharacteristic, complemented
45C2×#929C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×C4⋊Dic3C2211yescharacteristic, complemented
50C2×#924C2211yescharacteristic, complemented
51#5665—28no—
52D3×#123—28no—
53C2×#898C2211yescharacteristic, complemented
54C2×#897C2211yescharacteristic
55C2×#897C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic
59C2×D3×C4⋊C4C2211yescharacteristic
60C2×#890C2211yescharacteristic, complemented
61C2×#889C2211yescharacteristic, complemented
62C2×#886C2211yescharacteristic
63C2×#886C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#400C2211yescharacteristic, complemented
76C3×#400C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#380C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5222C2211yescharacteristic, complemented
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic
107#4987C2211yescharacteristic, complemented
108#4984C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4975C2211yescharacteristic, complemented
114Dic3×C4⋊C4C2211yescharacteristic, complemented
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic
120#4958C2211yescharacteristic, complemented
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic, complemented
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic, complemented
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4946C2211yescharacteristic, complemented
144#4946C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149Dic3×C22⋊C4C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic
173#4667C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#123—31no—
192#2848—31no—
193#2724—31no—
194#2718—31no—
195#2708—31no—
196#2706—31no—
197#2694—31no—
198#2693D311yescharacteristic, complemented
199#2681—31no—
200#2680—31no—
201#2663—31no—
202#2630—31no—
203#2558—31no—
204#2553—31no—
205#2480—31no—
206#2480—31no—
207#2473—31no—
208#2455—31no—
209#2449—31no—
210#2443—31no—
211#2442—31no—
212#2437—31no—
213#2418—31no—
214#2418—31no—
215#2408—31no—
216#2405—31no—
217#2358—31no—
218D4×C4⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C2×D3×D4—24no—
239C2×D3×D4—42no—
240C2×D3×D4—42no—
241C22×D12C2311yescharacteristic
242C22×C4×D3—24no—
243C22×C4×D3—42no—
244C22×C4×D3—42no—
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#123—24no—
254C3×#123—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊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×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—24no—
288#939—42no—
289#937—24no—
290#937—24no—
291#935—24no—
292#935—42no—
293D4×Dic3—24no—
294D4×Dic3—42no—
295#929—24no—
296#929—24no—
297C4×#67—24no—
298C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3—24no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339#924—42no—
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#898—24no—
367#897—24no—
368#897—42no—
369#894—24no—
370#894—24no—
371D3×C4⋊C4—24no—
372D3×C4⋊C4—24no—
373#890—24no—
374#889—24no—
375#886—24no—
376#886—24no—
377#883—24no—
378#883D418yescomplemented
379#67⋊C4—24no—
380#67⋊C4—42no—
381#67⋊C4—42no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385#879—24no—
386#878—24no—
387#878—24no—
388C3×#95C2311yescharacteristic
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
420C23×D4—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—68no—
438C2×#123C2×D311yescharacteristic
439C2×#123C2×D311yescharacteristic, complemented
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400C2×D311yescharacteristic, complemented
464#400C2×D311yescharacteristic, complemented
465#399—31no—
466#399—31no—
467#399—31no—
468#399—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic, complemented
483#396—31no—
484#396—31no—
485#396—31no—
486#396C2×D311yescharacteristic, complemented
487#396C2×D311yescharacteristic, complemented
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#393—31no—
500#392—31no—
501#392C2×D311yescharacteristic
502#390—31no—
503#390—31no—
504#390—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386C2×D311yescharacteristic
533#386C2×D311yescharacteristic, complemented
534#386C2×D311yescharacteristic, complemented
535#386C2×D311yescharacteristic, complemented
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—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#385C2×D311yescharacteristic, complemented
556#384—31no—
557#382—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380C2×D311yescharacteristic, complemented
565#380C2×D311yescharacteristic, complemented
566#379—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3C2411yescharacteristic
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
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
626C22×C3×C4C2411yescharacteristic
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×#67C2×D414yes—
641C2×#67#4114yes—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667D3×D4—416no—
668C2×D12—22no—
669C2×D12—41no—
670C2×D12—41no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—416no—
692C2×C4×D3C2×D414yes—
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4C2×D414yes—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—41no—
726#217—41no—
727#217C2×D414yes—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4C2×D414yes—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765C4⋊Dic3—41no—
766C4⋊Dic3C2×D414yes—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4C2×D414yes—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25—31no—
794C25—31no—
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—64no—
803C22×D4—122no—
804C22×D4—122no—
805C22×D4C22×D311yescharacteristic
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D311yescharacteristic
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—64no—
820C23×C4—122no—
821C23×C4—122no—
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825#126—64no—
826#126—64no—
827#125—64no—
828#125—64no—
829#123—24no—
830#123—24no—
831#123—38no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—122no—
845C22⋊Q8—122no—
846#121—64no—
847#121—122no—
848#120—64no—
849#120—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—122no—
854C4×D4—122no—
855C4×D4—122no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
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—64no—
888C2×C4⋊C4—64no—
889C2×C4⋊C4—64no—
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
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—64no—
938C2×C22⋊C4—64no—
939C2×C22⋊C4—64no—
940C2×C22⋊C4—122no—
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3C22×D412yes—
1011C23×C3C2×#4112yes—
1012C23×C3H(5,𝔽2)12yes—
1013C23×C3C2511yescharacteristic
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—28no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—44no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3C22×D412yes—
1046C22×D3C2×#4112yes—
1047C22×D3H(5,𝔽2)12yes—
1048C22×D32−1+412yes—
1049C3×D4—44no—
1050C3×D4—44no—
1051C3×D4—44no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—44no—
1087C2×C3×C4—44no—
1088C2×C3×C4—82no—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091#67—28no—
1092#67—44no—
1093#67—44no—
1094#67—44no—
1095#67—82no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—44no—
1132C2×Dic3—82no—
1133C2×Dic3—82no—
1134C2×Dic3—82no—
1135C2×Dic3C22×D412yes—
1136C2×Dic3C22×D412yes—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C2×#4112yes—
1139D12—44no—
1140C4×D3—44no—
1141C4×D3—44no—
1142C4×D3—44no—
1143C4×D3—44no—
1144C4×D3—44no—
1145C4×D3—44no—
1146C4×D3—44no—
1147Dic6—82no—
1148C24—31no—
1149C24—31no—
1150C24—31no—
1151C24—62no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C2×Q8—62no—
1169C2×Q8—121no—
1170C2×Q8—121no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—34no—
1178C2×D4—34no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—1216no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—34no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—1216no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—34no—
1272C4⋊C4—34no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4D3×D414yes—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3C23×D411yescharacteristic
1386C22×C3C22×#4111yescharacteristic
1387C22×C3C2×H(5,𝔽2)11yescharacteristic
1388C22×C3C2×H(5,𝔽2)11yescharacteristic
1389C22×C3C2×2−1+411yescharacteristic
1390C22×C3#58511yescharacteristic
1391C22×C3#58511yescharacteristic
1392C2×D3—22no—
1393C2×D3—22no—
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—416no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—88no—
1414C2×D3#53914yescomplemented
1415C3×C4—22no—
1416C3×C4—22no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427Dic3—22no—
1428Dic3—22no—
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—32no—
1459C23—32no—
1460C23—32no—
1461C23—32no—
1462C23—68no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23—124no—
1486C23—124no—
1487C23—124no—
1488C23—124no—
1489C23—124no—
1490C23—242no—
1491C23—242no—
1492C23—242no—
1493C23C2×D3×D412yes—
1494C23D3×#4112yes—
1495C23#100912yes—
1496C23C24×D311yescharacteristic
1497Q8—242no—
1498D4—44no—
1499D4—44no—
1500D4—44no—
1501D4—68no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—242no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—32no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—32no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—82no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—242no—
1592C2×C4—242no—
1593C2×C4—242no—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×D3×D412yes—
1596C2×C3—42no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3C2×#53911yescharacteristic
1600C2×C3D4×#4111yescharacteristic
1601C2×C3#348411yescharacteristic
1602C2×C3#348911yescharacteristic
1603C2×C3#351311yescharacteristic
1604C2×C3#353311yescharacteristic
1605C2×C3#353511yescharacteristic
1606D3—24no—
1607D3—42no—
1608D3—81no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—34no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—1216no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—248no—
1653C22C22×D3×D411yescharacteristic
1654C22C2×D3×#4111yescharacteristic
1655C22C2×#100911yescharacteristic
1656C22D3×H(5,𝔽2)11yescharacteristic
1657C22#596611yescharacteristic
1658C22#596611yescharacteristic
1659C22D3×2−1+411yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—62no—
1673C4—62no—
1674C4—62no—
1675C4—62no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3771211yescharacteristic, complemented, Sylow
1686C2—42no—
1687C2—42no—
1688C2—42no—
1689C2—64no—
1690C2—122no—
1691C2—241no—
1692C2#8638011yescharacteristic
1693C2D3×#53911yescharacteristic
1694C2#8646011yescharacteristic
1695C2#8662611yescharacteristic
1696C2#8666211yescharacteristic
1697C2#8679511yescharacteristic
1698C2#8708111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2693C2
prime radical#76669C2
hypercenter#2693D3
hypocenterC3#37712
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. C2×D3×#123C2semidirect
2. C2×#5665C2semidirect
3. C3×#2693C2semidirect
4. #82896C2semidirect
5. #82871C2semidirect
6. #78372C2semidirect
7. #78232C2semidirect
8. #78141C2semidirect
9. #78135C2semidirect
10. #77595C2semidirect
11. #77482C2semidirect
12. #77419C2semidirect
13. #77334C2semidirect
14. #77318C2semidirect
15. #77303C2semidirect
16. #76674C2semidirect
18. #74927C2semidirect
19. #74892C2semidirect
20. #74879C2semidirect
21. #74794C2semidirect
22. #74754C2semidirect
23. #74703C2semidirect
24. #74686C2semidirect
25. #74659C2semidirect
26. #74413C2semidirect
27. #74390C2semidirect
28. #74049C2semidirect
29. #74010C2semidirect
30. #73969C2semidirect
31. #73962C2semidirect
36. C2×C3×#123C22semidirect
43. C2×D4×Dic3C22semidirect
44. C2×D4×Dic3C22semidirect
46. C2×#929C22semidirect
49. C22×C4⋊Dic3C22semidirect
50. C2×#924C22semidirect
53. C2×#898C22semidirect
55. C2×#897C22semidirect
60. C2×#890C22semidirect
61. C2×#889C22semidirect
68. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
75. C3×#400C22semidirect
76. C3×#400C22semidirect
77. C3×#397C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#385C22semidirect
86. C3×#380C22semidirect
87. C3×#380C22semidirect
89. #5222C22semidirect
90. #5222C22semidirect
92. #5213C22semidirect
93. #5212C22semidirect
94. #5210C22semidirect
95. C4×#217C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4993C22semidirect
99. #4992C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
102. #4990C22semidirect
107. #4987C22semidirect
108. #4984C22semidirect
109. #4983C22semidirect
110. #4982C22semidirect
111. #4979C22semidirect
112. #4978C22semidirect
113. #4975C22semidirect
114. Dic3×C4⋊C4C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
120. #4958C22semidirect
123. #4957C22semidirect
126. #4956C22semidirect
132. #4953C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
136. #4950C22semidirect
137. #4950C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4949C22semidirect
141. #4949C22semidirect
142. #4946C22semidirect
143. #4946C22semidirect
144. #4946C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
147. #4945C22semidirect
148. #4944C22semidirect
149. Dic3×C22⋊C4C22semidirect
150. #4677C22semidirect
151. #4676C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4673C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
176. #4666C22semidirect
177. #4661C22semidirect
178. #4660C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4650C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
198. #2693D3semidirect
378. #883D4semidirect
439. C2×#123C2×D3semidirect
463. #400C2×D3semidirect
464. #400C2×D3semidirect
482. #397C2×D3semidirect
486. #396C2×D3semidirect
487. #396C2×D3semidirect
533. #386C2×D3semidirect
534. #386C2×D3semidirect
535. #386C2×D3semidirect
555. #385C2×D3semidirect
564. #380C2×D3semidirect
565. #380C2×D3semidirect
1414. C2×D3#539semidirect
1685. C3#37712semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1232
C2×#56652
C3×#26932
#828962
#828712
#783722
#782322
#781412
#781352
#775952
#774822
#774192
#773342
#773182
#773032
#766742
#766692
#749272
#748922
#748792
#747942
#747542
#747032
#746862
#746592
#744132
#743902
#740492
#740102
#739692
#739622
#377123