Finite Group Databasebeta

← D3×#2704 #11430285

Subgroups — D3×#2704 #11430285

Order 768.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#125C211yesmaximal, characteristic, complemented
2C2×D3×C22⋊Q8C211yesmaximal, characteristic
3C3×#2704C211yesmaximal, characteristic, complemented
4#83069C211yesmaximal, characteristic, complemented
5#82802C211yesmaximal, characteristic, complemented
6#77981C211yesmaximal, characteristic, complemented
7#77980C211yesmaximal, characteristic, complemented
8D3×#398C211yesmaximal, characteristic, complemented
9D3×#398C211yesmaximal, characteristic, complemented
10D3×#398C211yesmaximal, characteristic, complemented
11#77852C211yesmaximal, characteristic, complemented
12D3×#396C211yesmaximal, characteristic
13D3×#396C211yesmaximal, characteristic
14#77352C211yesmaximal, characteristic, complemented
15#77351C211yesmaximal, characteristic, complemented
16D3×#395C211yesmaximal, characteristic, complemented
17#77216C211yesmaximal, characteristic, complemented
18D3×#391C211yesmaximal, characteristic, complemented
19#76566C211yesmaximal, characteristic, complemented
20#76267C211yesmaximal, characteristic, complemented
21D3×#389C211yesmaximal, characteristic, complemented
22D3×#389C211yesmaximal, characteristic, complemented
23#76112C211yesmaximal, characteristic, complemented
24D3×#388C211yesmaximal, characteristic
25D3×#388C211yesmaximal, characteristic
26#75685C211yesmaximal, characteristic, complemented
27#75684C211yesmaximal, characteristic, complemented
28D3×#385C211yesmaximal, characteristic
29#74523C211yesmaximal, characteristic, complemented
30D3×#380C211yesmaximal, characteristic
31#73967C211yesmaximal, characteristic, complemented
32C2×#2704—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#924C2211yescharacteristic
39D3×#125—28no—
40D3×C22⋊Q8—28no—
41C2×#897C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×D3×C4⋊C4C2211yescharacteristic
45C2×D3×C4⋊C4C2211yescharacteristic
46C2×D3×C4⋊C4C2211yescharacteristic
47C2×D3×C4⋊C4C2211yescharacteristic
48C2×D3×C4⋊C4C2211yescharacteristic
49C2×D3×C4⋊C4C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×D3×C4⋊C4C2211yescharacteristic
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×D3×C4⋊C4C2211yescharacteristic
54C2×D3×C4⋊C4C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×D3×C4⋊C4C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic
59C2×#890C2211yescharacteristic, complemented
60C2×#890C2211yescharacteristic, complemented
61C2×#889C2211yescharacteristic, complemented
62C2×#889C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×C42×D3C2211yescharacteristic
74C2×C42×D3C2211yescharacteristic
75C2×#870C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic
81C3×#395C2211yescharacteristic, complemented
82C3×#391C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#389C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic
86C3×#388C2211yescharacteristic
87C3×#385C2211yescharacteristic
88C3×#380C2211yescharacteristic
89#5230C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5212C2211yescharacteristic
92#5210C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic
105#4984C2211yescharacteristic, complemented
106#4984C2211yescharacteristic, complemented
107#4983C2211yescharacteristic, complemented
108#4983C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4981C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4979C2211yescharacteristic, complemented
120#4979C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4976C2211yescharacteristic, complemented
125#4976C2211yescharacteristic, complemented
126#4973C2211yescharacteristic, complemented
127#4972C2211yescharacteristic, complemented
128#4972C2211yescharacteristic, complemented
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4950C2211yescharacteristic
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic
134#4948C2211yescharacteristic
135#4948C2211yescharacteristic
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic
138#4946C2211yescharacteristic
139#4945C2211yescharacteristic
140#4945C2211yescharacteristic
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic
143#4942C2211yescharacteristic
144#4942C2211yescharacteristic
145#4940C2211yescharacteristic
146#4940C2211yescharacteristic
147#4929C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4670C2211yescharacteristic
153#4670C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4667C2211yescharacteristic
159#4667C2211yescharacteristic
160D3×#95C2211yescharacteristic
161D3×#95C2211yescharacteristic
162D3×#95C2211yescharacteristic
163D3×#95C2211yescharacteristic
164D3×#95C2211yescharacteristic
165D3×#95C2211yescharacteristic
166D3×#95C2211yescharacteristic
167D3×#95C2211yescharacteristic
168D3×#95C2211yescharacteristic
169D3×#95C2211yescharacteristic
170#4661C2211yescharacteristic, complemented
171#4661C2211yescharacteristic, complemented
172#4661C2211yescharacteristic, complemented
173#4657C2211yescharacteristic, complemented
174#4657C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4657C2211yescharacteristic, complemented
179#4656C2211yescharacteristic, complemented
180#4656C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4647C2211yescharacteristic, complemented
183#4647C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C22×#125—31no—
191C22×C22⋊Q8—31no—
192#2704—31no—
193#2704—31no—
194#2704—31no—
195#2704—31no—
196#2704—31no—
197#2704—31no—
198#2704—31no—
199#2704—31no—
200#2704—31no—
201#2704—31no—
202#2704—31no—
203#2704—31no—
204#2704—31no—
205#2704—31no—
206#2704—31no—
207#2704D311yescharacteristic, direct product factor
208C2×#398—31no—
209C2×#398—31no—
210C2×#398—31no—
211C2×#396—31no—
212C2×#396—31no—
213C2×#395—31no—
214C2×#391—31no—
215C2×#389—31no—
216C2×#389—31no—
217C2×#388—31no—
218C2×#388—31no—
219C2×#385—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×Dic3C2311yescharacteristic
225C2×D3×Q8—24no—
226C2×D3×Q8—24no—
227C2×D3×Q8—42no—
228C22×C4×D3—24no—
229C22×C4×D3—24no—
230C22×C4×D3—42no—
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×Dic6C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C3×#125—24no—
251C3×C22⋊Q8—24no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊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×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#946—24no—
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×C4⋊Dic3C2311yescharacteristic
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309#924—24no—
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#897—24no—
347#896—24no—
348#896—24no—
349D3×C4⋊C4—24no—
350D3×C4⋊C4—24no—
351D3×C4⋊C4—24no—
352D3×C4⋊C4—24no—
353D3×C4⋊C4—24no—
354D3×C4⋊C4—24no—
355D3×C4⋊C4—24no—
356D3×C4⋊C4—24no—
357D3×C4⋊C4—42no—
358D3×C4⋊C4—42no—
359D3×C4⋊C4—42no—
360D3×C4⋊C4—42no—
361D3×C4⋊C4—42no—
362D3×C4⋊C4—42no—
363D3×C4⋊C4D418yes—
364#890—24no—
365#890—24no—
366#889—24no—
367#889—24no—
368#889—24no—
369#889—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—42no—
373D3×C22⋊C4—42no—
374D3×C22⋊C4—42no—
375D3×C22⋊C4Q818yescomplemented
376#878—24no—
377#878—24no—
378C42×D3—24no—
379C42×D3—42no—
380#870—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
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
420C3⋊#95C2311yescharacteristic
421C23×Q8—31no—
422C24×C4—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#125—31no—
428C2×#125—31no—
429C2×#125—31no—
430C2×#125—68no—
431C2×#125C2×D311yescharacteristic, complemented
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—68no—
440C2×C22⋊Q8C2×D311yescharacteristic
441C22×C4⋊C4—31no—
442C22×C4⋊C4—31no—
443C22×C4⋊C4—31no—
444C22×C4⋊C4—31no—
445C22×C4⋊C4—31no—
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448C22×C4⋊C4—31no—
449C22×C4⋊C4—31no—
450C22×C4⋊C4—31no—
451C22×C4⋊C4—31no—
452C22×C4⋊C4—31no—
453C22×C4⋊C4—31no—
454C22×C4⋊C4—31no—
455C22×C4⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C42—31no—
463C22×C42—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#398—31no—
481#398—31no—
482#398—31no—
483#398—31no—
484#398—31no—
485#398C2×D311yescharacteristic, complemented
486#398C2×D311yescharacteristic, complemented
487#398C2×D311yescharacteristic, complemented
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#396—31no—
499#396—31no—
500#396—31no—
501#396—31no—
502#396C2×D311yescharacteristic
503#396C2×D311yescharacteristic
504#395—31no—
505#395—31no—
506#395—31no—
507#395—31no—
508#395—31no—
509#395—31no—
510#395—31no—
511#395C2×D311yescharacteristic, complemented
512#391—31no—
513#391—31no—
514#391—31no—
515#391—31no—
516#391—31no—
517#391—31no—
518#391—31no—
519#391C2×D311yescharacteristic, complemented
520#389—31no—
521#389—31no—
522#389—31no—
523#389—31no—
524#389—31no—
525#389—31no—
526#389—31no—
527#389—31no—
528#389—31no—
529#389—31no—
530#389—31no—
531#389—31no—
532#389—31no—
533#389—31no—
534#389C2×D311yescharacteristic, complemented
535#389C2×D311yescharacteristic, complemented
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388C2×D311yescharacteristic
551#388C2×D311yescharacteristic
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380C2×D311yescharacteristic
568C2×#95—31no—
569C2×#95—31no—
570C2×#95—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3C2×Q814yes—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×Dic3—22no—
609C22×Dic3—22no—
610C22×Dic3—41no—
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625D3×Q8—416no—
626C2×C4×D3—22no—
627C2×C4×D3—22no—
628C2×C4×D3—22no—
629C2×C4×D3—22no—
630C2×C4×D3—22no—
631C2×C4×D3—22no—
632C2×C4×D3—22no—
633C2×C4×D3—22no—
634C2×C4×D3—22no—
635C2×C4×D3—22no—
636C2×C4×D3—22no—
637C2×C4×D3—22no—
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—416no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3C2×D414yes—
670C2×C4×D3C2×D414yes—
671C2×C4×D3C2×D414yes—
672C2×C4×D3C2×Q814yes—
673C2×C4×D3C2×Q814yes—
674C2×C4×D3#4114yes—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4C2×D414yes—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4C2×Q814yescomplemented
705C3×C42—22no—
706C3×C42—41no—
707#217—22no—
708#217—22no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217C2×Q814yescomplemented
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4C2×Q814yescomplemented
724(C2×D3)⋊C4C2×Q814yescomplemented
725C4⋊Dic3—22no—
726C4⋊Dic3—22no—
727C4⋊Dic3—22no—
728C4⋊Dic3—22no—
729C4⋊Dic3—22no—
730C4⋊Dic3—22no—
731C4⋊Dic3—22no—
732C4⋊Dic3—22no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738C4⋊Dic3—41no—
739C4⋊Dic3C2×D414yes—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4C2×D414yes—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C22×Q8—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—64no—
781C22×Q8—64no—
782C22×Q8—122no—
783C22×Q8C22×D311yescharacteristic
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—64no—
802C23×C4—64no—
803C23×C4—122no—
804C23×C4C22×D311yescharacteristic
805#125—24no—
806#125—64no—
807#125—64no—
808#125—64no—
809#125—64no—
810#125—64no—
811#125—64no—
812#125—64no—
813C22⋊Q8—24no—
814C22⋊Q8—64no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—38no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
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—64no—
868C2×C4⋊C4—64no—
869C2×C4⋊C4—64no—
870C2×C4⋊C4—64no—
871C2×C4⋊C4—64no—
872C2×C4⋊C4—64no—
873C2×C4⋊C4—64no—
874C2×C4⋊C4—64no—
875C2×C4⋊C4—122no—
876C2×C4⋊C4—122no—
877C2×C4⋊C4—122no—
878C2×C4⋊C4—122no—
879C2×C4⋊C4—122no—
880C2×C4⋊C4—122no—
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—38no—
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—64no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—122no—
918C2×C22⋊C4—122no—
919C2×C22⋊C4—122no—
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—64no—
933C2×C42—122no—
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3C22×Q812yes—
983C23×C3C2511yescharacteristic
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—28no—
991C22×D3—28no—
992C22×D3—28no—
993C22×D3—44no—
994C22×D3—44no—
995C22×D3—44no—
996C22×D3—44no—
997C22×D3C22×D412yes—
998C22×D3C22×Q812yes—
999C22×D3C22×Q812yes—
1000C22×D3C2×#4112yes—
1001C22×D3H(5,𝔽2)12yes—
1002C22×D3H(5,𝔽2)12yes—
1003C22×D32−1+412yes—
1004C22×D32−1+412yes—
1005C3×Q8—44no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—44no—
1043C2×C3×C4C22×D412yes—
1044C2×C3×C4C22×D412yes—
1045C2×C3×C4C22×D412yes—
1046C2×C3×C4C22×Q812yes—
1047C2×C3×C4C22×Q812yes—
1048C2×C3×C4C2×#4112yes—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—44no—
1086C2×Dic3C22×D412yes—
1087C2×Dic3C22×D412yes—
1088C2×Dic3C22×D412yes—
1089C2×Dic3C22×Q812yes—
1090C2×Dic3C22×Q812yes—
1091C2×Dic3C2×#4112yes—
1092C4×D3—28no—
1093C4×D3—28no—
1094C4×D3—28no—
1095C4×D3—28no—
1096C4×D3—28no—
1097C4×D3—28no—
1098C4×D3—44no—
1099C4×D3—44no—
1100C4×D3—44no—
1101C4×D3—44no—
1102C4×D3—44no—
1103C4×D3—44no—
1104C4×D3—44no—
1105C4×D3—44no—
1106C4×D3—44no—
1107C4×D3—44no—
1108Dic6—44no—
1109Dic6—44no—
1110Dic6—44no—
1111C24—31no—
1112C24—34no—
1113C24—31no—
1114C24—62no—
1115C24—62no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24C23×D311yescharacteristic
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—62no—
1125C2×Q8—62no—
1126C2×Q8—62no—
1127C2×Q8—62no—
1128C2×Q8—62no—
1129C2×Q8—62no—
1130C2×Q8—121no—
1131C2×Q8—121no—
1132C2×Q8—121no—
1133C2×Q8—1216no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—31no—
1140C22×C4—31no—
1141C22×C4—31no—
1142C22×C4—34no—
1143C22×C4—34no—
1144C22×C4—34no—
1145C22×C4—34no—
1146C22×C4—34no—
1147C22×C4—34no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—41no—
1157C22×C4—62no—
1158C22×C4—62no—
1159C22×C4—62no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—1216no—
1202C22×C4—121no—
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—34no—
1226C4⋊C4—34no—
1227C4⋊C4—34no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4D3×D414yes—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—34no—
1280C22⋊C4—34no—
1281C22⋊C4—34no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4D3×Q814yescomplemented
1301C42—22no—
1302C42—41no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—121no—
1307C42—121no—
1308C42—121no—
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3C23×D411yescharacteristic
1317C22×C3C23×Q811yescharacteristic
1318C22×C3C22×#4111yescharacteristic
1319C22×C3C2×H(5,𝔽2)11yescharacteristic
1320C22×C3C2×H(5,𝔽2)11yescharacteristic
1321C22×C3C2×2−1+411yescharacteristic
1322C22×C3C2×2−1+411yescharacteristic
1323C2×D3—22no—
1324C2×D3—22no—
1325C2×D3—22no—
1326C2×D3—41no—
1327C2×D3—41no—
1328C2×D3—41no—
1329C2×D3—41no—
1330C2×D3—416no—
1331C2×D3#53714yes—
1332C2×D3#54114yes—
1333C2×D3#54414yes—
1334C2×D3#54614yes—
1335C2×D3D4×Q814yes—
1336C2×D3#55414yes—
1337C2×D3#56214yes—
1338C3×C4—22no—
1339C3×C4—22no—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—41no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352Dic3—22no—
1353Dic3—22no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—22no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—32no—
1373C23—32no—
1374C23—32no—
1375C23—32no—
1376C23—32no—
1377C23—32no—
1378C23—32no—
1379C23—32no—
1380C23—68no—
1381C23—68no—
1382C23—68no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—124no—
1390C23—124no—
1391C23—124no—
1392C23—124no—
1393C23C2×D3×Q812yes—
1394C23C24×D311yescharacteristic
1395Q8—44no—
1396Q8—124no—
1397Q8—124no—
1398Q8—124no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—32no—
1436C2×C4—32no—
1437C2×C4—32no—
1438C2×C4—32no—
1439C2×C4—32no—
1440C2×C4—32no—
1441C2×C4—44no—
1442C2×C4—68no—
1443C2×C4—68no—
1444C2×C4—68no—
1445C2×C4—68no—
1446C2×C4—68no—
1447C2×C4—68no—
1448C2×C4—61no—
1449C2×C4—61no—
1450C2×C4—61no—
1451C2×C4—61no—
1452C2×C4—61no—
1453C2×C4—61no—
1454C2×C4—61no—
1455C2×C4—61no—
1456C2×C4—61no—
1457C2×C4—61no—
1458C2×C4—61no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—124no—
1485C2×C4—124no—
1486C2×C4—124no—
1487C2×C4—124no—
1488C2×C4—124no—
1489C2×C4—124no—
1490C2×C4—124no—
1491C2×C4—124no—
1492C2×C4—124no—
1493C2×C4—124no—
1494C2×C4—124no—
1495C2×C4C2×D3×D412yes—
1496C2×C4C2×D3×D412yes—
1497C2×C4C2×D3×D412yes—
1498C2×C4C2×D3×Q812yes—
1499C2×C4C2×D3×Q812yes—
1500C2×C4D3×#4112yes—
1501C2×C3—42no—
1502C2×C3C2×#53711yescharacteristic
1503C2×C3C2×#54111yescharacteristic
1504C2×C3C2×#54411yescharacteristic
1505C2×C3C2×#54611yescharacteristic
1506C2×C3C2×D4×Q811yescharacteristic
1507C2×C3C2×#55411yescharacteristic
1508C2×C3C2×#56211yescharacteristic
1509D3—42no—
1510D3#270418yesdirect product factor
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—34no—
1515C22—34no—
1516C22—34no—
1517C22—34no—
1518C22—34no—
1519C22—34no—
1520C22—34no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—62no—
1526C22—62no—
1527C22—62no—
1528C22—1216no—
1529C22—121no—
1530C22—121no—
1531C22—121no—
1532C22—121no—
1533C22C22×D3×D411yescharacteristic
1534C22C22×D3×Q811yescharacteristic
1535C22C2×D3×#4111yescharacteristic
1536C22D3×H(5,𝔽2)11yescharacteristic
1537C22D3×H(5,𝔽2)11yescharacteristic
1538C22D3×2−1+411yescharacteristic
1539C22D3×2−1+411yescharacteristic
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—62no—
1555C4—62no—
1556C4—62no—
1557C4—62no—
1558C4—62no—
1559C4—62no—
1560C4—121no—
1561C4—121no—
1562C4—121no—
1563C4—121no—
1564C4—121no—
1565C4—121no—
1566C4—121no—
1567C4—121no—
1568C3C2×#270411yescharacteristic, complemented, Sylow
1569C2—38no—
1570C2—42no—
1571C2—122no—
1572C2D3×#53711yescharacteristic
1573C2D3×#54111yescharacteristic
1574C2D3×#54411yescharacteristic
1575C2D3×#54611yescharacteristic
1576C2D3×D4×Q811yescharacteristic
1577C2D3×#55411yescharacteristic
1578C2D3×#56211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2704C2
prime radicalC24×D3C23
hypercenter#2704D3
hypocenterC3C2×#2704
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2704

Complements

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

NH ≅ G/Ntype
1. C2×D3×#125C2semidirect
3. C3×#2704C2semidirect
4. #83069C2semidirect
5. #82802C2semidirect
6. #77981C2semidirect
7. #77980C2semidirect
8. D3×#398C2semidirect
9. D3×#398C2semidirect
10. D3×#398C2semidirect
11. #77852C2semidirect
14. #77352C2semidirect
15. #77351C2semidirect
16. D3×#395C2semidirect
17. #77216C2semidirect
18. D3×#391C2semidirect
19. #76566C2semidirect
20. #76267C2semidirect
21. D3×#389C2semidirect
22. D3×#389C2semidirect
23. #76112C2semidirect
26. #75685C2semidirect
27. #75684C2semidirect
29. #74523C2semidirect
31. #73967C2semidirect
35. C2×C3×#125C22semidirect
59. C2×#890C22semidirect
60. C2×#890C22semidirect
61. C2×#889C22semidirect
62. C2×#889C22semidirect
63. C2×#889C22semidirect
64. C2×#889C22semidirect
75. C2×#870C22semidirect
76. C3×#398C22semidirect
77. C3×#398C22semidirect
78. C3×#398C22semidirect
81. C3×#395C22semidirect
82. C3×#391C22semidirect
83. C3×#389C22semidirect
84. C3×#389C22semidirect
89. #5230C22semidirect
90. #5229C22semidirect
105. #4984C22semidirect
106. #4984C22semidirect
107. #4983C22semidirect
108. #4983C22semidirect
109. #4983C22semidirect
110. #4982C22semidirect
111. #4982C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4982C22semidirect
115. #4982C22semidirect
116. #4981C22semidirect
117. #4981C22semidirect
118. #4981C22semidirect
119. #4979C22semidirect
120. #4979C22semidirect
121. #4979C22semidirect
122. #4976C22semidirect
123. #4976C22semidirect
124. #4976C22semidirect
125. #4976C22semidirect
126. #4973C22semidirect
127. #4972C22semidirect
128. #4972C22semidirect
147. #4929C22semidirect
148. #4928C22semidirect
149. #4928C22semidirect
170. #4661C22semidirect
171. #4661C22semidirect
172. #4661C22semidirect
173. #4657C22semidirect
174. #4657C22semidirect
175. #4657C22semidirect
176. #4657C22semidirect
177. #4657C22semidirect
178. #4657C22semidirect
179. #4656C22semidirect
180. #4656C22semidirect
181. #4656C22semidirect
182. #4647C22semidirect
183. #4647C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
207. #2704D3direct (N × H)
375. D3×C22⋊C4Q8semidirect
431. C2×#125C2×D3semidirect
485. #398C2×D3semidirect
486. #398C2×D3semidirect
487. #398C2×D3semidirect
511. #395C2×D3semidirect
519. #391C2×D3semidirect
534. #389C2×D3semidirect
535. #389C2×D3semidirect
704. C3×C22⋊C4C2×Q8semidirect
712. #217C2×Q8semidirect
723. (C2×D3)⋊C4C2×Q8semidirect
724. (C2×D3)⋊C4C2×Q8semidirect
1300. C22⋊C4D3×Q8semidirect
1510. D3#2704direct (N × H)
1568. C3C2×#2704semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1252
C2×D3×C22⋊Q82
C3×#27042
#830692
#828022
#779812
#779802
D3×#3982
#778522
D3×#3962
#773522
#773512
D3×#3952
#772162
D3×#3912
#765662
#762672
D3×#3892
#761122
D3×#3882
#756852
#756842
D3×#3852
#745232
D3×#3802
#739672
C2×#27043