Finite Group Databasebeta

← #10964005

Subgroups — #10964005

Order 768.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5624C211yesmaximal, characteristic, complemented
2C22×#892C211yesmaximal, characteristic, complemented
3C3×#2449C211yesmaximal, characteristic, complemented
4#82770C211yesmaximal, characteristic, complemented
5#82769C211yesmaximal, characteristic, complemented
6Dic3×C22⋊Q8C211yesmaximal, characteristic, complemented
7#82407C211yesmaximal, characteristic
8C4×D4×Dic3C211yesmaximal, characteristic, complemented
9#82175C211yesmaximal, characteristic, complemented
10#78026C211yesmaximal, characteristic, complemented
11#78017C211yesmaximal, characteristic, complemented
12#77759C211yesmaximal, characteristic, complemented
13#77738C211yesmaximal, characteristic, complemented
14#77299C211yesmaximal, characteristic, complemented
15#77281C211yesmaximal, characteristic, complemented
16#77182C211yesmaximal, characteristic, complemented
17#77170C211yesmaximal, characteristic, complemented
18#76025C211yesmaximal, characteristic, complemented
19#75961C211yesmaximal, characteristic, complemented
20#75018C211yesmaximal, characteristic, complemented
21#74939C211yesmaximal, characteristic, complemented
22#74891C211yesmaximal, characteristic, complemented
23#74703C211yesmaximal, characteristic, complemented
24#74660C211yesmaximal, characteristic, complemented
25#74659C211yesmaximal, characteristic, complemented
26#74452C211yesmaximal, characteristic, complemented
27#74447C211yesmaximal, characteristic, complemented
28#74442C211yesmaximal, characteristic, complemented
29#74379C211yesmaximal, characteristic, complemented
30#74377C211yesmaximal, characteristic, complemented
31#74377C211yesmaximal, characteristic, complemented
32#34740—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C22×C3×C4⋊C4C2211yescharacteristic
38C2×#947C2211yescharacteristic
39C2×Q8×Dic3C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×C4⋊Dic3C2211yescharacteristic
48C22×C4×Dic3C2211yescharacteristic
49C22×C4×Dic3C2211yescharacteristic
50C22×C4×Dic3C2211yescharacteristic, complemented
51#5624—28no—
52C2×#898C2211yescharacteristic
53C2×#898C2211yescharacteristic, complemented
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#892—28no—
57C2×#892C2211yescharacteristic
58C2×#892C2211yescharacteristic
59C2×#892C2211yescharacteristic
60C2×#892C2211yescharacteristic
61C2×#892C2211yescharacteristic
62C2×#892C2211yescharacteristic
63C2×#892C2211yescharacteristic
64C2×#892C2211yescharacteristic
65C2×#892C2211yescharacteristic, complemented
66C2×#890C2211yescharacteristic, complemented
67C2×#886C2211yescharacteristic
68C2×#886C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C3×#399C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic, complemented
77C3×#395C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic, complemented
85#5231C2211yescharacteristic
86#5229C2211yescharacteristic, complemented
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5212C2211yescharacteristic
92#5210C2211yescharacteristic
93C4×#217C2211yescharacteristic
94C4×#217C2211yescharacteristic, complemented
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4992C2211yescharacteristic
99#4992C2211yescharacteristic
100#4992C2211yescharacteristic, complemented
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4988C2211yescharacteristic
112#4986C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4985C2211yescharacteristic, complemented
115#4984C2211yescharacteristic, complemented
116#4984C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4980C2211yescharacteristic, complemented
120#4980C2211yescharacteristic, complemented
121#4978C2211yescharacteristic, complemented
122#4978C2211yescharacteristic, complemented
123Dic3×C4⋊C4C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125Dic3×C4⋊C4C2211yescharacteristic, complemented
126Dic3×C4⋊C4C2211yescharacteristic, complemented
127Dic3×C4⋊C4C2211yescharacteristic, complemented
128Dic3×C4⋊C4C2211yescharacteristic, complemented
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic, complemented
133#4960C2211yescharacteristic
134#4958C2211yescharacteristic
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic, complemented
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4953C2211yescharacteristic, complemented
142#4950C2211yescharacteristic
143#4950C2211yescharacteristic
144#4950C2211yescharacteristic
145#4950C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4942C2211yescharacteristic
148Dic3×C22⋊C4C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic, complemented
152Dic3×C22⋊C4C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic
155#4939C2211yescharacteristic
156C4×C4⋊Dic3C2211yescharacteristic, complemented
157C42×Dic3C2211yescharacteristic, complemented
158#4677C2211yescharacteristic
159#4677C2211yescharacteristic, complemented
160#4675C2211yescharacteristic
161#4674C2211yescharacteristic
162#4674C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#529—31no—
191C22×#117—31no—
192#2481—31no—
193#2480—31no—
194#2479—31no—
195#2478—31no—
196#2477—31no—
197#2476—31no—
198#2475—31no—
199#2474—31no—
200#2473—31no—
201#2472—31no—
202#2471—31no—
203#2470—31no—
204#2449D311yescharacteristic, complemented
205#2443—31no—
206#2424—31no—
207#2418—31no—
208#2396—31no—
209#2395—31no—
210#2395—31no—
211#2392—31no—
212C4×C22⋊Q8—31no—
213C4×#121—31no—
214C4×#120—31no—
215C4×#120—31no—
216#2298—31no—
217#2293—31no—
218#2290—31no—
219#2290—31no—
220C42×D4—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3—24no—
240C22×C4×D3—24no—
241C22×C4×D3—24no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C3×C22⋊Q8—24no—
248C3×C22⋊Q8—24no—
249C3×C4×D4—24no—
250C2×C3×C4⋊C4—24no—
251C2×C3×C4⋊C4C2311yescharacteristic
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×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×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278#947—24no—
279Q8×Dic3—24no—
280#939—24no—
281#937—24no—
282D4×Dic3—24no—
283D4×Dic3—24no—
284#930—24no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×C4⋊Dic3—24no—
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×C4×Dic3—24no—
339C2×C4×Dic3—24no—
340C2×C4×Dic3—24no—
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#898—24no—
362#893—24no—
363#893—24no—
364#892—24no—
365#892—24no—
366#892—24no—
367#892—24no—
368#892—24no—
369#892—24no—
370#892—24no—
371#892—24no—
372#892D418yescomplemented
373#890—24no—
374#886—24no—
375#886—24no—
376#882—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4—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
417C24×C4—31no—
418#529—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×C22⋊Q8C2×D311yescharacteristic
426C2×C22⋊Q8C2×D311yescharacteristic, complemented
427C2×#121—31no—
428C2×#121—31no—
429C2×#120—31no—
430C2×#120—31no—
431C2×C4×Q8—31no—
432C2×C4×D4—31no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×C4×D4—31no—
440C2×C4×D4C2×D311yescharacteristic
441C2×#117—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—68no—
451C22×C4⋊C4—31no—
452C22×C4⋊C4C2×D311yescharacteristic
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456C22×C42—31no—
457C22×C42—31no—
458#400—31no—
459#400—31no—
460#400—31no—
461#399—31no—
462#399—31no—
463#399C2×D311yescharacteristic, complemented
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398C2×D311yescharacteristic, complemented
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396C2×D311yescharacteristic, complemented
480#395C2×D311yescharacteristic, complemented
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#393—31no—
489#392—31no—
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389C2×D311yescharacteristic, complemented
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
533#386C2×D311yescharacteristic
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385C2×D311yescharacteristic
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic, complemented
546#380—31no—
547#380—31no—
548#379—31no—
549#379—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C4⋊C4—31no—
554C4×C4⋊C4—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C22⋊C4—31no—
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572#376—31no—
573C43—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4#4114yes—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3#4114yes—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—41no—
662C2×D12—41no—
663C2×C4×D3—232no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
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×D3C2×D414yes—
678C2×C4×D3#4114yes—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4C2×D414yes—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4#4114yes—
699C3×C42—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4C2×D414yes—
735(C2×D3)⋊C4C2×D414yes—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749C4⋊Dic3C2×D414yes—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—41no—
756C4×Dic3—22no—
757C4×Dic3—22no—
758C4×Dic3—22no—
759C4×Dic3—22no—
760C4×Dic3—22no—
761C4×Dic3—22no—
762C4×Dic3—22no—
763C4×Dic3—22no—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3C2×D414yes—
774C4×Dic3C2×D414yes—
775C25—31no—
776C22×Q8C22×D311yescharacteristic
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4C22×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—64no—
795C23×C4—64no—
796C23×C4—64no—
797C23×C4C22×D311yescharacteristic
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801#126—64no—
802#126—64no—
803#125—64no—
804#124—64no—
805#123—64no—
806#123—64no—
807C22⋊Q8—24no—
808C22⋊Q8—24no—
809#121—64no—
810#121—64no—
811#120—64no—
812#120—64no—
813C4×Q8—64no—
814C4×D4—24no—
815C4×D4—64no—
816C4×D4—64no—
817C4×D4—64no—
818C4×D4—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823#117—38no—
824#117—64no—
825#117—64no—
826#117—64no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831#117—64no—
832C2×C4⋊C4—24no—
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—64no—
854C2×C4⋊C4C22×D311yescharacteristic
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—64no—
903C2×C22⋊C4—64no—
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C42—31no—
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—64no—
932C2×C42—64no—
933C2×C42—64no—
934C2×C42C22×D311yescharacteristic
935#95—31no—
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#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3C2×#4112yes—
982C23×C3C2×#4112yes—
983C23×C3C2×#4112yes—
984C23×C3C2×#4112yes—
985C23×C3C2511yescharacteristic
986C22×D3—28no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3C22×D412yes—
1013C22×D3C2×#4112yes—
1014C3×Q8—44no—
1015C3×D4—28no—
1016C2×C3×C4—28no—
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—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—44no—
1050C2×C3×C4—44no—
1051C2×C3×C4—44no—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C2×#4112yes—
1056C2×C3×C4C2×#4112yes—
1057C2×C3×C4C2×#4112yes—
1058C2×C3×C4C2×#4112yes—
1059#67—44no—
1060#67—44no—
1061#67—44no—
1062#67—44no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—28no—
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—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—44no—
1098C2×Dic3—44no—
1099C2×Dic3—44no—
1100C2×Dic3—44no—
1101C2×Dic3C22×D412yes—
1102C2×Dic3C22×D412yes—
1103C2×Dic3C22×D412yes—
1104C2×Dic3C2×#4112yes—
1105C2×Dic3C2×#4112yes—
1106C2×Dic3C2×#4112yes—
1107D12—44no—
1108D12—44no—
1109C4×D3—28no—
1110C4×D3—28no—
1111C4×D3—28no—
1112C4×D3—28no—
1113C4×D3—44no—
1114C24—31no—
1115C24—31no—
1116C24—31no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—62no—
1122C24—121no—
1123C24—121no—
1124C24C23×D311yescharacteristic
1125C24C23×D311yescharacteristic
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—41no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4#23914yes—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—31no—
1160C22×C4—34no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—34no—
1165C22×C4—34no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
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—632no—
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—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
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
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—34no—
1230C4⋊C4—41no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
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—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4D3×D414yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—34no—
1258C22⋊C4—34no—
1259C22⋊C4—41no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4#23714yes—
1295C42—22no—
1296C42—34no—
1297C42—34no—
1298C42—62no—
1299C42—62no—
1300C42—62no—
1301C42—62no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C42—62no—
1313C42—121no—
1314C42—121no—
1315C22×C3—22no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3#52914yescomplemented
1329C22×C3C23×D411yescharacteristic
1330C22×C3C22×#4111yescharacteristic
1331C22×C3C22×#4111yescharacteristic
1332C22×C3C22×#4111yescharacteristic
1333C22×C3C22×#4111yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—416no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—22no—
1364C3×C4—22no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3#52514yes—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—32no—
1395C23—32no—
1396C23—68no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—124no—
1417C23—124no—
1418C23—124no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23C2×#23712yes—
1423C23C2×#23912yes—
1424C23C2×#23912yes—
1425C23D3×#4112yes—
1426C23C24×D311yescharacteristic
1427Q8—44no—
1428D4—28no—
1429D4—124no—
1430D4—124no—
1431D4—124no—
1432D4—124no—
1433D4—124no—
1434D4—124no—
1435C2×C4—28no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—32no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—32no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—68no—
1478C2×C4—68no—
1479C2×C4—68no—
1480C2×C4—68no—
1481C2×C4—68no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4C2×D3×D412yes—
1521C2×C4C2×D3×D412yes—
1522C2×C4C2×D3×D412yes—
1523C2×C4C2×#23712yes—
1524C2×C4C2×#23712yes—
1525C2×C4C2×#23912yes—
1526C2×C4D3×#4112yes—
1527C2×C3—24no—
1528C2×C3—42no—
1529C2×C3C2×#52511yescharacteristic
1530C2×C3C2×#52911yescharacteristic
1531C2×C3#345511yescharacteristic
1532C2×C3D4×#4111yescharacteristic
1533C2×C3D4×#4111yescharacteristic
1534C2×C3#347511yescharacteristic
1535C2×C3#347511yescharacteristic
1536D3—42no—
1537D3—42no—
1538D3—81no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—62no—
1553C22—62no—
1554C22—62no—
1555C22—62no—
1556C22—62no—
1557C22—62no—
1558C22—1216no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22#562414yescomplemented
1575C22C22×D3×D411yescharacteristic
1576C22C22×#23711yescharacteristic
1577C22C22×#23911yescharacteristic
1578C22C2×D3×#4111yescharacteristic
1579C22C2×D3×#4111yescharacteristic
1580C22#596611yescharacteristic
1581C22#596811yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—34no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—62no—
1597C4—62no—
1598C4—62no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C3#3474011yescharacteristic, complemented, Sylow
1609C2—24no—
1610C2—42no—
1611C2—122no—
1612C2—122no—
1613C2—241no—
1614C2C2×#562411yescharacteristic
1615C2D3×#52511yescharacteristic
1616C2#8642711yescharacteristic
1617C2D4×#23711yescharacteristic
1618C2#8667511yescharacteristic
1619C2D4×#23911yescharacteristic
1620C2#8692211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
prime radical#82407C2
hypercenter#2449D3
hypocenterC3#34740
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5624C2semidirect
2. C22×#892C2semidirect
3. C3×#2449C2semidirect
4. #82770C2semidirect
5. #82769C2semidirect
6. Dic3×C22⋊Q8C2semidirect
8. C4×D4×Dic3C2semidirect
9. #82175C2semidirect
10. #78026C2semidirect
11. #78017C2semidirect
12. #77759C2semidirect
13. #77738C2semidirect
14. #77299C2semidirect
15. #77281C2semidirect
16. #77182C2semidirect
17. #77170C2semidirect
18. #76025C2semidirect
19. #75961C2semidirect
20. #75018C2semidirect
21. #74939C2semidirect
22. #74891C2semidirect
23. #74703C2semidirect
24. #74660C2semidirect
25. #74659C2semidirect
26. #74452C2semidirect
27. #74447C2semidirect
28. #74442C2semidirect
29. #74379C2semidirect
30. #74377C2semidirect
31. #74377C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
39. C2×Q8×Dic3C22semidirect
50. C22×C4×Dic3C22semidirect
53. C2×#898C22semidirect
65. C2×#892C22semidirect
66. C2×#890C22semidirect
68. C2×#886C22semidirect
73. C2×#67⋊C4C22semidirect
74. C3×#399C22semidirect
75. C3×#398C22semidirect
76. C3×#396C22semidirect
77. C3×#395C22semidirect
78. C3×#389C22semidirect
79. C3×#387C22semidirect
84. C3×#385C22semidirect
86. #5229C22semidirect
94. C4×#217C22semidirect
97. #4994C22semidirect
100. #4992C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
112. #4986C22semidirect
113. #4986C22semidirect
114. #4985C22semidirect
115. #4984C22semidirect
116. #4984C22semidirect
117. #4982C22semidirect
118. #4980C22semidirect
119. #4980C22semidirect
120. #4980C22semidirect
121. #4978C22semidirect
122. #4978C22semidirect
123. Dic3×C4⋊C4C22semidirect
124. Dic3×C4⋊C4C22semidirect
125. Dic3×C4⋊C4C22semidirect
126. Dic3×C4⋊C4C22semidirect
127. Dic3×C4⋊C4C22semidirect
128. Dic3×C4⋊C4C22semidirect
132. #4961C22semidirect
136. #4957C22semidirect
141. #4953C22semidirect
145. #4950C22semidirect
146. #4944C22semidirect
151. Dic3×C22⋊C4C22semidirect
152. Dic3×C22⋊C4C22semidirect
153. Dic3×C22⋊C4C22semidirect
156. C4×C4⋊Dic3C22semidirect
157. C42×Dic3C22semidirect
159. #4677C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4661C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4648C22semidirect
189. #4647C22semidirect
204. #2449D3semidirect
372. #892D4semidirect
426. C2×C22⋊Q8C2×D3semidirect
463. #399C2×D3semidirect
468. #398C2×D3semidirect
479. #396C2×D3semidirect
480. #395C2×D3semidirect
497. #389C2×D3semidirect
521. #387C2×D3semidirect
545. #385C2×D3semidirect
1328. C22×C3#529semidirect
1574. C22#5624semidirect
1608. C3#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#56242
C22×#8922
C3×#24492
#827702
#827692
Dic3×C22⋊Q82
#824072
C4×D4×Dic32
#821752
#780262
#780172
#777592
#777382
#772992
#772812
#771822
#771702
#760252
#759612
#750182
#749392
#748912
#747032
#746602
#746592
#744522
#744472
#744422
#743792
#743772
#347403