Finite Group Databasebeta

← #11633784

Subgroups — #11633784

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5554C211yesmaximal, characteristic
2C2×#5479C211yesmaximal, characteristic, complemented
3C3×C4×#123C211yesmaximal, characteristic, complemented
4#82893C211yesmaximal, characteristic, complemented
5#82841C211yesmaximal, characteristic, complemented
6#82385C211yesmaximal, characteristic, complemented
7C2×#4940C211yesmaximal, characteristic, complemented
8#75917C211yesmaximal, characteristic, complemented
9#75845C211yesmaximal, characteristic, complemented
10#75675C211yesmaximal, characteristic, complemented
11#75505C211yesmaximal, characteristic, complemented
12#75391C211yesmaximal, characteristic, complemented
13#75320C211yesmaximal, characteristic, complemented
14#75149C211yesmaximal, characteristic, complemented
15#74999C211yesmaximal, characteristic, complemented
16#74878C211yesmaximal, characteristic, complemented
17#74672C211yesmaximal, characteristic, complemented
18#74603C211yesmaximal, characteristic, complemented
19#74408C211yesmaximal, characteristic, complemented
20#74131C211yesmaximal, characteristic, complemented
21#74075C211yesmaximal, characteristic, complemented
22#73796C211yesmaximal, characteristic, complemented
23#73784C211yesmaximal, characteristic, complemented
24#73783C211yesmaximal, characteristic, complemented
25#73772C211yesmaximal, characteristic, complemented
26#73605C211yesmaximal, characteristic, complemented
27#73603C211yesmaximal, characteristic, complemented
28#73596C211yesmaximal, characteristic, complemented
29#73595C211yesmaximal, characteristic, complemented
30#73574C211yesmaximal, characteristic, complemented
31#73471C211yesmaximal, characteristic, complemented
32#59032—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C22×C3×C42C2211yescharacteristic, complemented
38C2×#930C2211yescharacteristic
39C2×#930C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×#929C2211yescharacteristic, complemented
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic, complemented
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C2×#924C2211yescharacteristic, complemented
49C22×Dic3⋊C4C2211yescharacteristic, complemented
50#5554—28no—
51C2×#897C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#886C2211yescharacteristic
56C2×#882C2211yescharacteristic
57C2×#882C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic, complemented
60C2×D3×C22⋊C4C2211yescharacteristic
61#5479—28no—
62C2×#876C2211yescharacteristic, complemented
63C2×#876C2211yescharacteristic, complemented
64C2×#875C2211yescharacteristic
65C2×#875C2211yescharacteristic, complemented
66C2×C4×D12C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic, complemented
68C2×#872C2211yescharacteristic, complemented
69C2×#872C2211yescharacteristic, complemented
70C2×#870C2211yescharacteristic, complemented
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#388C2211yescharacteristic, complemented
73C3×#388C2211yescharacteristic, complemented
74C3×#387C2211yescharacteristic, complemented
75C3×#387C2211yescharacteristic, complemented
76C3×#386C2211yescharacteristic
77C3×#385C2211yescharacteristic, complemented
78C3×#381C2211yescharacteristic, complemented
79C3×C4×C4⋊C4C2211yescharacteristic, complemented
80C3×C4×C4⋊C4C2211yescharacteristic, complemented
81C3×C4×C22⋊C4C2211yescharacteristic, complemented
82C3×C4×C22⋊C4C2211yescharacteristic, complemented
83C3×C4×C22⋊C4C2211yescharacteristic, complemented
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic
86#5210C2211yescharacteristic, complemented
87#5210C2211yescharacteristic, complemented
88C2×C3⋊#95C2211yescharacteristic, complemented
89C2×C3⋊#95C2211yescharacteristic, complemented
90#4993C2211yescharacteristic, complemented
91#4992C2211yescharacteristic, complemented
92#4991C2211yescharacteristic
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4990C2211yescharacteristic, complemented
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4989C2211yescharacteristic, complemented
101#4986C2211yescharacteristic, complemented
102#4982C2211yescharacteristic, complemented
103#4980C2211yescharacteristic, complemented
104#4979C2211yescharacteristic, complemented
105#4979C2211yescharacteristic, complemented
106#4979C2211yescharacteristic, complemented
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4959C2211yescharacteristic, complemented
110#4959C2211yescharacteristic, complemented
111#4958C2211yescharacteristic
112#4958C2211yescharacteristic, complemented
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4956C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4949C2211yescharacteristic, complemented
123#4947C2211yescharacteristic, complemented
124#4946C2211yescharacteristic, complemented
125#4946C2211yescharacteristic, complemented
126#4943C2211yescharacteristic, complemented
127#4943C2211yescharacteristic, complemented
128#4942C2211yescharacteristic, complemented
129#4942C2211yescharacteristic, complemented
130#4942C2211yescharacteristic, complemented
131Dic3×C22⋊C4C2211yescharacteristic, complemented
132#4940C2211yescharacteristic
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4940C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149#4933C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4675C2211yescharacteristic, complemented
156#4674C2211yescharacteristic
157#4674C2211yescharacteristic, complemented
158#4673C2211yescharacteristic
159#4673C2211yescharacteristic, complemented
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic, complemented
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#529—31no—
192#2694—31no—
193#2690—31no—
194#2686—31no—
195#2684—31no—
196#2564—31no—
197#2561—31no—
198#2559—31no—
199#2534—31no—
200#2521—31no—
201#2486—31no—
202#2480—31no—
203#2476—31no—
204#2474—31no—
205#2468—31no—
206#2465—31no—
207#2458—31no—
208#2444—31no—
209#2419—31no—
210#2418—31no—
211#2418—31no—
212#2406—31no—
213#2405—31no—
214#2364—31no—
215#2359—31no—
216#2342—31no—
217#2339—31no—
218D4×C22⋊C4—31no—
219C4×#123D311yescharacteristic, complemented
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
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
236C2×#237—24no—
237C2×#237—24no—
238C2×#237—42no—
239C2×D3×D4—24no—
240C2×D3×D4—24no—
241C2×D3×D4—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#123—24no—
255C3×C4×D4—24no—
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×C42—24no—
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#930—24no—
284#930D418yes—
285#929—24no—
286#929—24no—
287C4×#67—24no—
288C4×#67—24no—
289C2×(C2×D3)⋊C4—24no—
290C2×(C2×D3)⋊C4—24no—
291C2×(C2×D3)⋊C4—24no—
292C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335#924—24no—
336C2×Dic3⋊C4—42no—
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#897—24no—
360#895—24no—
361#894—24no—
362#886—24no—
363#886—24no—
364#882—24no—
365#882—24no—
366#67⋊C4—42no—
367#67⋊C4—42no—
368D3×C22⋊C4—24no—
369#876—24no—
370#876—24no—
371#875—24no—
372#875—24no—
373C4×D12—24no—
374C4×D12—24no—
375#872—24no—
376#872—24no—
377#870—24no—
378C4×Dic6—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
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
417C22×#41—31no—
418C23×D4—31no—
419#546—68no—
420#529—68no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4C2×D311yescharacteristic
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42C2×D311yescharacteristic, complemented
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#390—31no—
491#390—31no—
492#389—31no—
493#389—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
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#388C2×D311yescharacteristic, complemented
513#388C2×D311yescharacteristic, complemented
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387C2×D311yescharacteristic, complemented
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#386—31no—
533#386—31no—
534#386—31no—
535#386C2×D311yescharacteristic
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385C2×D311yescharacteristic, complemented
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381C2×D311yescharacteristic, complemented
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4C2×D311yescharacteristic, complemented
569C4×C22⋊C4C2×D311yescharacteristic, complemented
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4#4114yes—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4C2×D414yes—
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—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67C2×D414yes—
633C2×#67C2×D414yes—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658#237—416no—
659D3×D4—416no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12C2×D414yes—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—22no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—41no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—41no—
709C3×C42—22no—
710C3×C42—22no—
711C3×C42—22no—
712C3×C42—22no—
713C3×C42—22no—
714C3×C42—41no—
715C3×C42—41no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—41no—
720#217—41no—
721#217—41no—
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—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—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
758(C2×D3)⋊C4C2×D414yes—
759(C2×D3)⋊C4#4114yescomplemented
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—22no—
763C4⋊Dic3C2×D414yes—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C25—31no—
788C2×#41—64no—
789C2×#41—64no—
790C2×#41—122no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—64no—
802C22×D4—64no—
803C22×D4—122no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819#126—64no—
820#126—64no—
821#125—64no—
822#124—64no—
823#124—64no—
824#123—24no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832#121—38no—
833#121—64no—
834#121—64no—
835#120—64no—
836#120—64no—
837C4×Q8—64no—
838C4×D4—24no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—122no—
844C4×D4—122no—
845#117—64no—
846#117—64no—
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—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—122no—
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4—122no—
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—24no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42C22×D311yescharacteristic
938C2×C42C22×D311yescharacteristic
939C2×C42C22×D311yescharacteristic
940C2×C42C22×D311yescharacteristic
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
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#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3C22×D412yes—
993C23×C3C2×#4112yes—
994C23×C3C2×#4112yes—
995C23×C3H(5,𝔽2)12yes—
996C23×C3C2511yescharacteristic
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—21no—
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—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3—82no—
1035C22×D3—82no—
1036C22×D3C22×D412yes—
1037C22×D3C22×D412yes—
1038C22×D3C2×#4112yes—
1039C3×D4—28no—
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—21no—
1050C2×C3×C4—21no—
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—44no—
1076C2×C3×C4—44no—
1077C2×C3×C4—44no—
1078C2×C3×C4—82no—
1079C2×C3×C4C22×D412yes—
1080C2×C3×C4C22×D412yes—
1081C2×C3×C4C2×#4112yes—
1082C2×C3×C4C2×#4112yes—
1083#67—28no—
1084#67—28no—
1085#67—44no—
1086#67—44no—
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—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—44no—
1121C2×Dic3—44no—
1122C2×Dic3—44no—
1123C2×Dic3—82no—
1124C2×Dic3C22×D412yes—
1125C2×Dic3C22×D412yes—
1126C2×Dic3C2×#4112yes—
1127D12—44no—
1128D12—44no—
1129D12—44no—
1130D12—82no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—82no—
1136C4×D3—82no—
1137Dic6—44no—
1138Dic6—44no—
1139C24—31no—
1140C24—31no—
1141C24—31no—
1142C24—31no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—62no—
1149C24—62no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24—121no—
1157C24C23×D311yescharacteristic
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—62no—
1161C2×Q8—62no—
1162C2×Q8—62no—
1163C2×Q8—121no—
1164C2×Q8—121no—
1165C2×Q8—121no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—34no—
1169C2×D4—34no—
1170C2×D4—34no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—1216no—
1193C2×D4#23514yes—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4D3×D414yes—
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—34no—
1266C4⋊C4—41no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—121no—
1280C4⋊C4—121no—
1281C4⋊C4—121no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—34no—
1296C22⋊C4—34no—
1297C22⋊C4—34no—
1298C22⋊C4—41no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
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—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—41no—
1346C42—41no—
1347C42—62no—
1348C42—62no—
1349C42—121no—
1350C42—121no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—22no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3#54614yes—
1365C22×C3C23×D411yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C22×#4111yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3#58511yescharacteristic
1370C22×C3#58511yescharacteristic
1371C22×C3#58511yescharacteristic
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
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—88no—
1401C2×D3—88no—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—22no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415Dic3—22no—
1416Dic3—22no—
1417Dic3—22no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426Dic3—41no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—32no—
1438C23—32no—
1439C23—32no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—124no—
1466C23—124no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—124no—
1471C23—124no—
1472C23—242no—
1473C23—242no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23—242no—
1479C23C2×#23512yes—
1480C23C2×#23512yes—
1481C23C2×D3×D412yes—
1482C23#100912yes—
1483C23C24×D311yescharacteristic
1484Q8—124no—
1485Q8—124no—
1486D4—28no—
1487D4—68no—
1488D4—68no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—242no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—32no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—82no—
1570C2×C4—124no—
1571C2×C4—124no—
1572C2×C4—124no—
1573C2×C4—124no—
1574C2×C4—124no—
1575C2×C4—124no—
1576C2×C4—124no—
1577C2×C4—242no—
1578C2×C4—242no—
1579C2×C4—242no—
1580C2×C4C2×#23512yes—
1581C2×C4C2×D3×D412yes—
1582C2×C4C2×D3×D412yes—
1583C2×C4D3×#4112yes—
1584C2×C3—24no—
1585C2×C3—42no—
1586C2×C3C2×#54611yescharacteristic
1587C2×C3D4×#4111yescharacteristic
1588C2×C3#347511yescharacteristic
1589C2×C3#348511yescharacteristic
1590C2×C3#351311yescharacteristic
1591C2×C3#352111yescharacteristic
1592C2×C3#354511yescharacteristic
1593D3—42no—
1594D3—42no—
1595D3—42no—
1596D3—81no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—248no—
1639C22—248no—
1640C22#555014yes—
1641C22C22×#23511yescharacteristic
1642C22C22×D3×D411yescharacteristic
1643C22C2×D3×#4111yescharacteristic
1644C22C2×#100911yescharacteristic
1645C22#596411yescharacteristic
1646C22#596411yescharacteristic
1647C22#596411yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—62no—
1662C4—62no—
1663C4—62no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C3#5903211yescharacteristic, complemented, Sylow
1674C2—24no—
1675C2—42no—
1676C2—122no—
1677C2—122no—
1678C2—122no—
1679C2—241no—
1680C2C2×#555011yescharacteristic
1681C2#8584111yescharacteristic
1682C2#8585411yescharacteristic
1683C2#8601211yescharacteristic
1684C2#8603711yescharacteristic
1685C2#8616011yescharacteristic
1686C2#8617311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#123C2
prime radicalC2×#5554C2
hypercenterC4×#123D3
hypocenterC3#59032
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×#5479C2semidirect
3. C3×C4×#123C2semidirect
4. #82893C2semidirect
5. #82841C2semidirect
6. #82385C2semidirect
7. C2×#4940C2semidirect
8. #75917C2semidirect
9. #75845C2semidirect
10. #75675C2semidirect
11. #75505C2semidirect
12. #75391C2semidirect
13. #75320C2semidirect
14. #75149C2semidirect
15. #74999C2semidirect
16. #74878C2semidirect
17. #74672C2semidirect
18. #74603C2semidirect
19. #74408C2semidirect
20. #74131C2semidirect
21. #74075C2semidirect
22. #73796C2semidirect
23. #73784C2semidirect
24. #73783C2semidirect
25. #73772C2semidirect
26. #73605C2semidirect
27. #73603C2semidirect
28. #73596C2semidirect
29. #73595C2semidirect
30. #73574C2semidirect
31. #73471C2semidirect
37. C22×C3×C42C22semidirect
41. C2×#929C22semidirect
43. C2×C4×#67C22semidirect
48. C2×#924C22semidirect
49. C22×Dic3⋊C4C22semidirect
59. C2×#67⋊C4C22semidirect
62. C2×#876C22semidirect
63. C2×#876C22semidirect
65. C2×#875C22semidirect
67. C2×C4×D12C22semidirect
68. C2×#872C22semidirect
69. C2×#872C22semidirect
70. C2×#870C22semidirect
71. C2×C4×Dic6C22semidirect
72. C3×#388C22semidirect
73. C3×#388C22semidirect
74. C3×#387C22semidirect
75. C3×#387C22semidirect
77. C3×#385C22semidirect
78. C3×#381C22semidirect
79. C3×C4×C4⋊C4C22semidirect
80. C3×C4×C4⋊C4C22semidirect
81. C3×C4×C22⋊C4C22semidirect
82. C3×C4×C22⋊C4C22semidirect
83. C3×C4×C22⋊C4C22semidirect
86. #5210C22semidirect
87. #5210C22semidirect
88. C2×C3⋊#95C22semidirect
89. C2×C3⋊#95C22semidirect
90. #4993C22semidirect
91. #4992C22semidirect
95. #4990C22semidirect
98. #4989C22semidirect
99. #4989C22semidirect
100. #4989C22semidirect
101. #4986C22semidirect
102. #4982C22semidirect
103. #4980C22semidirect
104. #4979C22semidirect
105. #4979C22semidirect
106. #4979C22semidirect
109. #4959C22semidirect
110. #4959C22semidirect
112. #4958C22semidirect
115. #4956C22semidirect
116. #4956C22semidirect
122. #4949C22semidirect
123. #4947C22semidirect
124. #4946C22semidirect
125. #4946C22semidirect
126. #4943C22semidirect
127. #4943C22semidirect
128. #4942C22semidirect
129. #4942C22semidirect
130. #4942C22semidirect
131. Dic3×C22⋊C4C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
141. #4940C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. #4933C22semidirect
151. #4676C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4675C22semidirect
157. #4674C22semidirect
159. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
165. #4669C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4660C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
219. C4×#123D3semidirect
455. C22×C42C2×D3semidirect
512. #388C2×D3semidirect
513. #388C2×D3semidirect
520. #387C2×D3semidirect
521. #387C2×D3semidirect
545. #385C2×D3semidirect
550. #381C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
568. C4×C22⋊C4C2×D3semidirect
569. C4×C22⋊C4C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
759. (C2×D3)⋊C4#41semidirect
1673. C3#59032semidirect

Maximal subgroups

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

subgroupindex
C2×#55542
C2×#54792
C3×C4×#1232
#828932
#828412
#823852
C2×#49402
#759172
#758452
#756752
#755052
#753912
#753202
#751492
#749992
#748782
#746722
#746032
#744082
#741312
#740752
#737962
#737842
#737832
#737722
#736052
#736032
#735962
#735952
#735742
#734712
#590323