Finite Group Databasebeta

← #11025436

Subgroups — #11025436

Order 768.

2552 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5710C211yesmaximal, characteristic, complemented
2C22×#875C211yesmaximal, characteristic, complemented
3C3×#2852C211yesmaximal, characteristic, complemented
4#83113C211yesmaximal, characteristic, complemented
5C4×#924C211yesmaximal, characteristic, complemented
6#75921C211yesmaximal, characteristic, complemented
7#75708C211yesmaximal, characteristic, complemented
8#75692C211yesmaximal, characteristic, complemented
9#75665C211yesmaximal, characteristic, complemented
10#75546C211yesmaximal, characteristic, complemented
11#75511C211yesmaximal, characteristic, complemented
12#75398C211yesmaximal, characteristic, complemented
13#75396C211yesmaximal, characteristic, complemented
14#75388C211yesmaximal, characteristic, complemented
15#75178C211yesmaximal, characteristic, complemented
16#75044C211yesmaximal, characteristic, complemented
17#75010C211yesmaximal, characteristic, complemented
18#74891C211yesmaximal, characteristic, complemented
19#74887C211yesmaximal, characteristic
20#74879C211yesmaximal, characteristic, complemented
21#74728C211yesmaximal, characteristic, complemented
22#74727C211yesmaximal, characteristic, complemented
23#74689C211yesmaximal, characteristic, complemented
24#74607C211yesmaximal, characteristic, complemented
25#74599C211yesmaximal, characteristic, complemented
26#74595C211yesmaximal, characteristic, complemented
27#74452C211yesmaximal, characteristic, complemented
28#74413C211yesmaximal, characteristic, complemented
29#74412C211yesmaximal, characteristic, complemented
30#74310C211yesmaximal, characteristic, complemented
31#74262C211yesmaximal, characteristic, complemented
32#37718—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C22×C3×C42C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×D4×Dic3C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C2×#924C2211yescharacteristic
45#5710—28no—
46C2×#898C2211yescharacteristic, complemented
47C2×#897C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic, complemented
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#892C2211yescharacteristic, complemented
52C2×#888C2211yescharacteristic, complemented
53C2×#888C2211yescharacteristic, complemented
54C2×#886C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic, complemented
56C2×#885C2211yescharacteristic, complemented
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic, complemented
60C2×D3×C22⋊C4C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#878C2211yescharacteristic, complemented
64C2×#878C2211yescharacteristic, complemented
65C2×#875—28no—
66C2×#875C2211yescharacteristic
67C2×#875C2211yescharacteristic
68C2×#875C2211yescharacteristic
69C2×#875C2211yescharacteristic
70C2×#875C2211yescharacteristic
71C2×#875C2211yescharacteristic
72C2×#875C2211yescharacteristic
73C2×#875C2211yescharacteristic
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#388C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C3×#385C2211yescharacteristic
87C3×#383C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5212C2211yescharacteristic
90#5210C2211yescharacteristic
91#5210C2211yescharacteristic
92C4×#217C2211yescharacteristic
93C4×#217C2211yescharacteristic
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4990C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4987C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic, complemented
124#4955C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4950C2211yescharacteristic
129#4950C2211yescharacteristic
130#4947C2211yescharacteristic, complemented
131#4947C2211yescharacteristic, complemented
132#4946C2211yescharacteristic
133#4942C2211yescharacteristic
134Dic3×C22⋊C4C2211yescharacteristic
135C4×C4⋊Dic3C2211yescharacteristic, complemented
136#4933C2211yescharacteristic, complemented
137#4933C2211yescharacteristic, complemented
138C4×Dic3⋊C4C2211yescharacteristic, complemented
139C4×Dic3⋊C4C2211yescharacteristic, complemented
140#4929C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4677C2211yescharacteristic, complemented
144#4676C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4675C2211yescharacteristic, complemented
148#4674C2211yescharacteristic, complemented
149#4674C2211yescharacteristic, complemented
150#4673C2211yescharacteristic, complemented
151#4673C2211yescharacteristic, complemented
152#4673C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4670C2211yescharacteristic, complemented
159#4670C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4664C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×#124—31no—
192#2852D311yescharacteristic, complemented
193#2731—31no—
194#2730—31no—
195#2717—31no—
196#2712—31no—
197#2700—31no—
198#2686—31no—
199#2674—31no—
200#2672—31no—
201#2662—31no—
202#2632—31no—
203#2521—31no—
204#2491—31no—
205#2480—31no—
206#2474—31no—
207#2472—31no—
208#2472—31no—
209#2461—31no—
210#2437—31no—
211#2437—31no—
212#2434—31no—
213#2418—31no—
214#2410—31no—
215#2409—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2337—31no—
220C4×C22⋊Q8—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12—24no—
235C22×D12—42no—
236C22×D12—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6—24no—
246C22×Dic6—42no—
247C22×Dic6—42no—
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#126—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×C22⋊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×C42—24no—
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282#937—24no—
283#937—42no—
284D4×Dic3—42no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—24no—
287C2×(C2×D3)⋊C4—24no—
288C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×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
338#924—24no—
339C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#897—24no—
360#896—24no—
361#894—24no—
362#894—42no—
363#892—24no—
364#888—24no—
365#888—42no—
366#886—24no—
367#885—24no—
368#885—24no—
369#884—24no—
370#884—42no—
371#67⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374#878—24no—
375#878—42no—
376#878—42no—
377#875—24no—
378#875—24no—
379#875—24no—
380#875—24no—
381#875—24no—
382#875—24no—
383#875—24no—
384#875D418yescomplemented
385C4×Dic6—24no—
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
420C23×Q8—31no—
421C23×D4—31no—
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#126—31no—
426C2×#126C2×D311yescharacteristic, complemented
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—68no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C42C2×D311yescharacteristic
462#399—31no—
463#399—31no—
464#399—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#395—31no—
478#395—31no—
479#395—31no—
480#395—31no—
481#395—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—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#388—31no—
524#388—31no—
525#388—31no—
526#388C2×D311yescharacteristic, complemented
527#388C2×D311yescharacteristic, complemented
528#388C2×D311yescharacteristic, complemented
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
532#387C2×D311yescharacteristic, complemented
533#387C2×D311yescharacteristic, complemented
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#386C2×D311yescharacteristic
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
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic
558#383C2×D311yescharacteristic, complemented
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—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
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3C2411yescharacteristic
594C23×D3C2411yescharacteristic
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—416no—
667C2×D12C2×D414yes—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—22no—
684C2×Dic6—22no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—41no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6—41no—
692C2×Dic6—41no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—416no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C2×Dic6C2×D414yes—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C42—22no—
715C3×C42—22no—
716C3×C42—22no—
717C3×C42C2×D414yes—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—41no—
723#217—41no—
724#217#4114yes—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
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)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4C2×D414yes—
762(C2×D3)⋊C4C2×D414yes—
763(C2×D3)⋊C4C2×D414yes—
764(C2×D3)⋊C4C2×D414yes—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
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×Q8—31no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×Q8—31no—
800C22×Q8—31no—
801C22×Q8—64no—
802C22×Q8—122no—
803C22×Q8—122no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—64no—
813C22×D4—122no—
814C22×D4—122no—
815C22×D4C22×D311yescharacteristic
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826C4⋊Q8—64no—
827C4⋊Q8—122no—
828#126—24no—
829#126—64no—
830#124—38no—
831#124—64no—
832#124—64no—
833#124—64no—
834#124—64no—
835#124—64no—
836#124—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—64no—
850#121—122no—
851#120—64no—
852#120—122no—
853C4×Q8—64no—
854C4×D4—64no—
855C4×D4—122no—
856#117—64no—
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⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
932C2×C22⋊C4—64no—
933C2×C22⋊C4—64no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—122no—
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—24no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
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#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#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
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×C3C2×#4112yes—
1004C23×C3H(5,𝔽2)12yes—
1005C23×C32−1+412yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
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—21no—
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—82no—
1042C22×D3—82no—
1043C22×D3—82no—
1044C22×D3—82no—
1045C22×D3—82no—
1046C22×D3—82no—
1047C22×D3C22×D412yes—
1048C22×D3C22×D412yes—
1049C3×D4—44no—
1050C2×C3×C4—28no—
1051C2×C3×C4—21no—
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×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4H(5,𝔽2)12yes—
1092#67—44no—
1093#67—82no—
1094#67—82no—
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—44no—
1129C2×Dic3—44no—
1130C2×Dic3—82no—
1131C2×Dic3C22×D412yes—
1132C2×Dic3C22×D412yes—
1133C2×Dic3C2×#4112yes—
1134C2×Dic3C2×#4112yes—
1135D12—44no—
1136D12—44no—
1137D12—44no—
1138D12—44no—
1139C4×D3—44no—
1140C4×D3—82no—
1141C4×D3—82no—
1142C4×D3—82no—
1143Dic6—44no—
1144Dic6—44no—
1145Dic6—44no—
1146Dic6—44no—
1147Dic6—44no—
1148Dic6—82no—
1149C24—31no—
1150C24—31no—
1151C24—31no—
1152C24—31no—
1153C24—62no—
1154C24—62no—
1155C24—62no—
1156C24—62no—
1157C24—62no—
1158C24—62no—
1159C24—62no—
1160C24—62no—
1161C24—121no—
1162C24—121no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C2×Q8—34no—
1170C2×Q8—62no—
1171C2×Q8—62no—
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×Q8—121no—
1181C2×Q8—121no—
1182C2×Q8—121no—
1183C2×Q8—121no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8—1216no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—34no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—1216no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
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
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
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—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—34no—
1306C22⋊C4—34no—
1307C22⋊C4—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
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—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
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—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C42D3×D414yes—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3#54214yescomplemented
1379C22×C3C23×D411yescharacteristic
1380C22×C3C22×#4111yescharacteristic
1381C22×C3C2×H(5,𝔽2)11yescharacteristic
1382C22×C3C2×H(5,𝔽2)11yescharacteristic
1383C22×C3C2×2−1+411yescharacteristic
1384C22×C3#58511yescharacteristic
1385C22×C3#58511yescharacteristic
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—22no—
1389C2×D3—22no—
1390C2×D3—22no—
1391C2×D3—22no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
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—41no—
1414C2×D3—88no—
1415C2×D3—88no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—22no—
1432Dic3—22no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—32no—
1453C23—32no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
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—242no—
1489C23—242no—
1490C23—242no—
1491C23—242no—
1492C23—242no—
1493C23—242no—
1494C23D3×#4112yes—
1495C23#100912yes—
1496C23#101012yes—
1497C23C24×D311yescharacteristic
1498Q8—124no—
1499Q8—124no—
1500Q8—124no—
1501Q8—124no—
1502Q8—124no—
1503Q8—242no—
1504D4—44no—
1505D4—124no—
1506D4—124no—
1507D4—124no—
1508D4—124no—
1509D4—124no—
1510D4—242no—
1511D4—242no—
1512D4—242no—
1513C2×C4—28no—
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—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—32no—
1550C2×C4—32no—
1551C2×C4—32no—
1552C2×C4—32no—
1553C2×C4—44no—
1554C2×C4—44no—
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—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—242no—
1591C2×C4—242no—
1592C2×C4—242no—
1593C2×C4—242no—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×D3×D412yes—
1596C2×C4C2×D3×D412yes—
1597C2×C4#100912yes—
1598C2×C3—24no—
1599C2×C3—81no—
1600C2×C3C2×#54211yescharacteristic
1601C2×C3D4×#4111yescharacteristic
1602C2×C3#348411yescharacteristic
1603C2×C3#348911yescharacteristic
1604C2×C3#351411yescharacteristic
1605C2×C3#354511yescharacteristic
1606C2×C3#356111yescharacteristic
1607D3—42no—
1608D3—42no—
1609D3—81no—
1610D3—81no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—62no—
1625C22—62no—
1626C22—62no—
1627C22—62no—
1628C22—62no—
1629C22—62no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—248no—
1653C22—248no—
1654C22#571014yescomplemented
1655C22C22×D3×D411yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22C2×#100911yescharacteristic
1658C22C2×#100911yescharacteristic
1659C22C2×#101011yescharacteristic
1660C22#596411yescharacteristic
1661C22#596411yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—62no—
1676C4—62no—
1677C4—62no—
1678C4—62no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#3771811yescharacteristic, complemented, Sylow
1688C2—24no—
1689C2—81no—
1690C2—122no—
1691C2—122no—
1692C2—241no—
1693C2—241no—
1694C2#8603711yescharacteristic
1695C2#8603911yescharacteristic
1696C2#8604211yescharacteristic
1697C2C2×#571011yescharacteristic
1698C2#8614111yescharacteristic
1699C2#8616211yescharacteristic
1700C2#8617311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2852C2
prime radical#74887C2
hypercenter#2852D3
hypocenterC3#37718
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. C2×#5710C2semidirect
2. C22×#875C2semidirect
3. C3×#2852C2semidirect
4. #83113C2semidirect
5. C4×#924C2semidirect
6. #75921C2semidirect
7. #75708C2semidirect
8. #75692C2semidirect
9. #75665C2semidirect
10. #75546C2semidirect
11. #75511C2semidirect
12. #75398C2semidirect
13. #75396C2semidirect
14. #75388C2semidirect
15. #75178C2semidirect
16. #75044C2semidirect
17. #75010C2semidirect
18. #74891C2semidirect
20. #74879C2semidirect
21. #74728C2semidirect
22. #74727C2semidirect
23. #74689C2semidirect
24. #74607C2semidirect
25. #74599C2semidirect
26. #74595C2semidirect
27. #74452C2semidirect
28. #74413C2semidirect
29. #74412C2semidirect
30. #74310C2semidirect
31. #74262C2semidirect
35. C2×C3×#126C22semidirect
46. C2×#898C22semidirect
47. C2×#897C22semidirect
48. C2×#896C22semidirect
51. C2×#892C22semidirect
52. C2×#888C22semidirect
53. C2×#888C22semidirect
54. C2×#886C22semidirect
55. C2×#885C22semidirect
56. C2×#885C22semidirect
59. C2×#67⋊C4C22semidirect
63. C2×#878C22semidirect
64. C2×#878C22semidirect
74. C2×C4×Dic6C22semidirect
75. C3×#388C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
78. C3×#387C22semidirect
79. C3×#387C22semidirect
80. C3×#387C22semidirect
87. C3×#383C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4993C22semidirect
99. #4992C22semidirect
102. #4990C22semidirect
103. #4990C22semidirect
104. #4990C22semidirect
105. #4989C22semidirect
106. #4987C22semidirect
107. #4987C22semidirect
108. #4979C22semidirect
109. #4979C22semidirect
110. #4961C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
118. #4958C22semidirect
119. #4958C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
122. #4957C22semidirect
123. #4956C22semidirect
130. #4947C22semidirect
131. #4947C22semidirect
135. C4×C4⋊Dic3C22semidirect
136. #4933C22semidirect
137. #4933C22semidirect
138. C4×Dic3⋊C4C22semidirect
139. C4×Dic3⋊C4C22semidirect
140. #4929C22semidirect
141. #4928C22semidirect
142. #4677C22semidirect
143. #4677C22semidirect
144. #4676C22semidirect
145. #4675C22semidirect
146. #4675C22semidirect
147. #4675C22semidirect
148. #4674C22semidirect
149. #4674C22semidirect
150. #4673C22semidirect
151. #4673C22semidirect
152. #4673C22semidirect
153. #4673C22semidirect
158. #4670C22semidirect
159. #4670C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4669C22semidirect
167. #4669C22semidirect
168. #4669C22semidirect
169. #4669C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
181. #4664C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
192. #2852D3semidirect
384. #875D4semidirect
426. C2×#126C2×D3semidirect
526. #388C2×D3semidirect
527. #388C2×D3semidirect
528. #388C2×D3semidirect
531. #387C2×D3semidirect
532. #387C2×D3semidirect
533. #387C2×D3semidirect
558. #383C2×D3semidirect
1378. C22×C3#542semidirect
1654. C22#5710semidirect
1687. C3#37718semidirect

Maximal subgroups

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

subgroupindex
C2×#57102
C22×#8752
C3×#28522
#831132
C4×#9242
#759212
#757082
#756922
#756652
#755462
#755112
#753982
#753962
#753882
#751782
#750442
#750102
#748912
#748872
#748792
#747282
#747272
#746892
#746072
#745992
#745952
#744522
#744132
#744122
#743102
#742622
#377183