Finite Group Databasebeta

← #11633174

Subgroups — #11633174

Order 768.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5642C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic
3C3×#2438C211yesmaximal, characteristic, complemented
4#82769C211yesmaximal, characteristic, complemented
5#82238C211yesmaximal, characteristic, complemented
6#78237C211yesmaximal, characteristic, complemented
7#78179C211yesmaximal, characteristic, complemented
8#77852C211yesmaximal, characteristic, complemented
9#77847C211yesmaximal, characteristic, complemented
10#77790C211yesmaximal, characteristic, complemented
11#77760C211yesmaximal, characteristic, complemented
12#77259C211yesmaximal, characteristic, complemented
13#77179C211yesmaximal, characteristic, complemented
14#76628C211yesmaximal, characteristic, complemented
15#76493C211yesmaximal, characteristic, complemented
16#76020C211yesmaximal, characteristic, complemented
17#76015C211yesmaximal, characteristic, complemented
18#75308C211yesmaximal, characteristic, complemented
19#75003C211yesmaximal, characteristic, complemented
20#74992C211yesmaximal, characteristic, complemented
21#74992C211yesmaximal, characteristic, complemented
22#74603C211yesmaximal, characteristic, complemented
23#74602C211yesmaximal, characteristic, complemented
24#74407C211yesmaximal, characteristic, complemented
25#74395C211yesmaximal, characteristic, complemented
26#74063C211yesmaximal, characteristic, complemented
27#74050C211yesmaximal, characteristic, complemented
28#74029C211yesmaximal, characteristic, complemented
29#73926C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31C2×#4668C211yesmaximal, characteristic, complemented
32#59008—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×#117C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic, complemented
39C2×Q8×Dic3C2211yescharacteristic, complemented
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×C4⋊Dic3C2211yescharacteristic
45C22×Dic3⋊C4C2211yescharacteristic
46#5642—28no—
47#5524—28no—
48C2×#898C2211yescharacteristic, complemented
49C2×#898C2211yescharacteristic, complemented
50C2×#897C2211yescharacteristic
51C2×#897C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#892C2211yescharacteristic, complemented
56C2×#890C2211yescharacteristic, complemented
57C2×#890C2211yescharacteristic, complemented
58C2×#890C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#877C2211yescharacteristic
66C2×#877C2211yescharacteristic
67C2×#877C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C3×#400C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#395C2211yescharacteristic, complemented
76C3×#391C2211yescharacteristic, complemented
77C3×#389C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic
82C3×#381C2211yescharacteristic
83C3×#380C2211yescharacteristic
84C2×C3×#95C2211yescharacteristic
85#5231C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5211C2211yescharacteristic
89C2×C3⋊#95C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic, complemented
98#4992C2211yescharacteristic
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4988C2211yescharacteristic
111#4988C2211yescharacteristic
112#4988C2211yescharacteristic
113#4984C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121Dic3×C4⋊C4C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4943C2211yescharacteristic
128#4942C2211yescharacteristic
129Dic3×C22⋊C4C2211yescharacteristic
130#4933C2211yescharacteristic, complemented
131#4933C2211yescharacteristic, complemented
132C4×Dic3⋊C4C2211yescharacteristic, complemented
133C4×Dic3⋊C4C2211yescharacteristic, complemented
134#4675C2211yescharacteristic
135#4675C2211yescharacteristic, complemented
136#4672C2211yescharacteristic
137#4672C2211yescharacteristic
138#4672C2211yescharacteristic
139#4672C2211yescharacteristic, complemented
140#4672C2211yescharacteristic, complemented
141#4670C2211yescharacteristic
142#4670C2211yescharacteristic
143#4670C2211yescharacteristic
144#4670C2211yescharacteristic
145#4670C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4669C2211yescharacteristic
148#4669C2211yescharacteristic, complemented
149#4669C2211yescharacteristic, complemented
150#4668C2211yescharacteristic
151#4668C2211yescharacteristic
152#4668C2211yescharacteristic
153#4668C2211yescharacteristic
154#4668C2211yescharacteristic
155#4668C2211yescharacteristic
156#4668C2211yescharacteristic
157#4668C2211yescharacteristic
158#4668C2211yescharacteristic, complemented
159#4668C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic, complemented
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic
169#4666C2211yescharacteristic
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2704—31no—
193#2691—31no—
194#2690—31no—
195#2672—31no—
196#2559—31no—
197#2556—31no—
198#2534—31no—
199#2498—31no—
200#2476—31no—
201#2472—31no—
202#2468—31no—
203#2466—31no—
204#2465—31no—
205#2460—31no—
206#2460—31no—
207#2454—31no—
208#2450—31no—
209#2438D311yescharacteristic, complemented
210#2418—31no—
211#2413—31no—
212#2411—31no—
213#2406—31no—
214#2367—31no—
215#2359—31no—
216#2359—31no—
217#2344—31no—
218#2339—31no—
219C2×#385—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C2×#235—24no—
232C2×#235—24no—
233C2×#235—42no—
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3—24no—
240C22×C4×D3—24no—
241C22×C4×D3—42no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C3×C22⋊Q8—24no—
252C3×#117—24no—
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272#947—24no—
273#946—24no—
274Q8×Dic3—24no—
275C4×#67—24no—
276C4×#67—42no—
277C2×(C2×D3)⋊C4—24no—
278C2×(C2×D3)⋊C4—42no—
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(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×Dic3⋊C4—24no—
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
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
355#898—24no—
356#898—24no—
357#897—24no—
358#897—24no—
359#895—24no—
360#895—24no—
361#894—24no—
362#892—24no—
363#890—24no—
364#890—24no—
365#890—24no—
366#886—24no—
367#886—24no—
368#886—42no—
369#886D418yes—
370#882—24no—
371#882—24no—
372#877—24no—
373#877—24no—
374#877—42no—
375C4×D12—24no—
376C4×D12—24no—
377C4×D12—24no—
378C4×D12—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—
418C24×C4—31no—
419#552—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#124—31no—
426#525—68no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×C4×Q8—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×#117—31no—
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C2×#117C2×D311yescharacteristic
452C22×C4⋊C4—31no—
453C22×C4⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400C2×D311yescharacteristic, complemented
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398C2×D311yescharacteristic, complemented
464#398C2×D311yescharacteristic, complemented
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#395—31no—
475#395—31no—
476#395C2×D311yescharacteristic, complemented
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#394—31no—
486#394—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#391C2×D311yescharacteristic, complemented
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389C2×D311yescharacteristic, complemented
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#388—31no—
513#388—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387C2×D311yescharacteristic, complemented
523#387C2×D311yescharacteristic, complemented
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#385—31no—
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#385—31no—
544#385—31no—
545#385—31no—
546#385C2×D311yescharacteristic
547#385C2×D311yescharacteristic
548#381—31no—
549#381—31no—
550#381—31no—
551#381C2×D311yescharacteristic
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380C2×D311yescharacteristic
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊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—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95C2×D311yescharacteristic
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4#4114yes—
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67C2×D414yes—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—41no—
626C22×Dic3C2×D414yes—
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639#235—416no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—416no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—41no—
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⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4C2×D414yes—
698C3×C42—22no—
699C3×C42—22no—
700#217—22no—
701#217—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—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—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
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)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4C2×D414yes—
738(C2×D3)⋊C4C2×D414yes—
739(C2×D3)⋊C4#4114yescomplemented
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3C2×D414yes—
751C4⋊Dic3C2×D414yes—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C2×#41—64no—
778C2×#41—64no—
779C2×#41—122no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—64no—
801C23×C4—64no—
802C23×C4—122no—
803C23×C4C22×D311yescharacteristic
804C23×C4C22×D311yescharacteristic
805C23×C4C22×D311yescharacteristic
806#126—64no—
807#126—64no—
808#125—64no—
809#125—64no—
810#125—64no—
811#124—64no—
812#123—38no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—122no—
817C22⋊Q8—24no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821#121—64no—
822#121—64no—
823#120—64no—
824#120—64no—
825C4×Q8—64no—
826C4×D4—64no—
827C4×D4—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—122no—
832#117—24no—
833#117—64no—
834#117—64no—
835#117—64no—
836#117—122no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—64no—
864C2×C4⋊C4—64no—
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
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—64no—
917C2×C22⋊C4—122no—
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
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—31no—
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934#95—31no—
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#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C22×D412yes—
977C23×C3C2×#4112yes—
978C23×C3H(5,𝔽2)12yes—
979C23×C3C2511yescharacteristic
980C22×D3—28no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
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—
1014C22×D32−1+412yes—
1015C3×Q8—44no—
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—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—44no—
1055C2×C3×C4—82no—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C2×#4112yes—
1059C2×C3×C4C2×#4112yes—
1060C2×C3×C4C2×#4112yes—
1061#67—28no—
1062#67—44no—
1063C2×Dic3—28no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—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—44no—
1097C2×Dic3—44no—
1098C2×Dic3C22×D412yes—
1099C2×Dic3C22×D412yes—
1100C2×Dic3C22×D412yes—
1101C2×Dic3C2×#4112yes—
1102D12—44no—
1103D12—44no—
1104D12—44no—
1105D12—44no—
1106D12—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—82no—
1115Dic6—44no—
1116C24—31no—
1117C24—31no—
1118C24—31no—
1119C24—31no—
1120C24—62no—
1121C24—62no—
1122C24—62no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24C23×D311yescharacteristic
1128#41—1216no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—41no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×D4—34no—
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—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—34no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
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—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—1216no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4#23914yes—
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—34no—
1232C4⋊C4—34no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—34no—
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—62no—
1288C22⋊C4—62no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4D3×D414yes—
1306C42—22no—
1307C42—22no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—62no—
1312C42—62no—
1313C42—62no—
1314C42—121no—
1315C42—121no—
1316C42—121no—
1317C42—121no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3#54614yes—
1325C22×C3C23×D411yescharacteristic
1326C22×C3C22×#4111yescharacteristic
1327C22×C3C22×#4111yescharacteristic
1328C22×C3C2×H(5,𝔽2)11yescharacteristic
1329C22×C3C2×2−1+411yescharacteristic
1330C22×C3#58511yescharacteristic
1331C22×C3#58511yescharacteristic
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—416no—
1342C2×D3—41no—
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—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—22no—
1364C3×C4—22no—
1365C3×C4—22no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375Dic3—22no—
1376Dic3—22no—
1377Dic3—22no—
1378Dic3—22no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—32no—
1392C23—32no—
1393C23—32no—
1394C23—68no—
1395C23—61no—
1396C23—61no—
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—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23—124no—
1425C23—124no—
1426C23C2×D3×D412yes—
1427C23C2×#23912yes—
1428C23#100912yes—
1429C23C24×D311yescharacteristic
1430Q8—44no—
1431Q8—124no—
1432D4—68no—
1433D4—124no—
1434D4—124no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
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—28no—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—32no—
1478C2×C4—32no—
1479C2×C4—32no—
1480C2×C4—32no—
1481C2×C4—44no—
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—68no—
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—82no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—124no—
1522C2×C4—124no—
1523C2×C4—124no—
1524C2×C4—124no—
1525C2×C4—242no—
1526C2×C4C2×D3×D412yes—
1527C2×C4C2×D3×D412yes—
1528C2×C4C2×#23912yes—
1529C2×C4C2×#23912yes—
1530C2×C4D3×#4112yes—
1531C2×C3—24no—
1532C2×C3C2×#54611yescharacteristic
1533C2×C3D4×#4111yescharacteristic
1534C2×C3#347511yescharacteristic
1535C2×C3#348911yescharacteristic
1536C2×C3#349211yescharacteristic
1537C2×C3#349511yescharacteristic
1538C2×C3#353311yescharacteristic
1539D3—42no—
1540D3—42no—
1541D3—42no—
1542D3—81no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
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—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22#563014yes—
1579C22C22×D3×D411yescharacteristic
1580C22C22×#23911yescharacteristic
1581C22C2×D3×#4111yescharacteristic
1582C22C2×#100911yescharacteristic
1583C22#596411yescharacteristic
1584C22#596611yescharacteristic
1585C22D3×2−1+411yescharacteristic
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—62no—
1601C4—62no—
1602C4—62no—
1603C4—62no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C3#5900811yescharacteristic, complemented, Sylow
1613C2—24no—
1614C2—122no—
1615C2—122no—
1616C2—122no—
1617C2—241no—
1618C2C2×#563011yescharacteristic
1619C2#8627611yescharacteristic
1620C2#8659811yescharacteristic
1621C2#8662611yescharacteristic
1622C2#8667711yescharacteristic
1623C2#8681911yescharacteristic
1624C2#8686011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2438C2
prime radicalC2×#5524C2
hypercenter#2438D3
hypocenterC3#59008
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. C2×#5642C2semidirect
3. C3×#2438C2semidirect
4. #82769C2semidirect
5. #82238C2semidirect
6. #78237C2semidirect
7. #78179C2semidirect
8. #77852C2semidirect
9. #77847C2semidirect
10. #77790C2semidirect
11. #77760C2semidirect
12. #77259C2semidirect
13. #77179C2semidirect
14. #76628C2semidirect
15. #76493C2semidirect
16. #76020C2semidirect
17. #76015C2semidirect
18. #75308C2semidirect
19. #75003C2semidirect
20. #74992C2semidirect
21. #74992C2semidirect
22. #74603C2semidirect
23. #74602C2semidirect
24. #74407C2semidirect
25. #74395C2semidirect
26. #74063C2semidirect
27. #74050C2semidirect
28. #74029C2semidirect
29. #73926C2semidirect
30. #73368C2semidirect
31. C2×#4668C2semidirect
38. C2×#946C22semidirect
39. C2×Q8×Dic3C22semidirect
48. C2×#898C22semidirect
49. C2×#898C22semidirect
55. C2×#892C22semidirect
56. C2×#890C22semidirect
57. C2×#890C22semidirect
58. C2×#890C22semidirect
72. C3×#400C22semidirect
73. C3×#398C22semidirect
74. C3×#398C22semidirect
75. C3×#395C22semidirect
76. C3×#391C22semidirect
77. C3×#389C22semidirect
78. C3×#387C22semidirect
79. C3×#387C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
97. #4993C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4989C22semidirect
113. #4984C22semidirect
114. #4984C22semidirect
115. #4982C22semidirect
116. #4980C22semidirect
117. #4978C22semidirect
118. #4978C22semidirect
119. #4976C22semidirect
120. #4976C22semidirect
121. Dic3×C4⋊C4C22semidirect
122. #4972C22semidirect
130. #4933C22semidirect
131. #4933C22semidirect
132. C4×Dic3⋊C4C22semidirect
133. C4×Dic3⋊C4C22semidirect
135. #4675C22semidirect
139. #4672C22semidirect
140. #4672C22semidirect
145. #4670C22semidirect
146. #4670C22semidirect
148. #4669C22semidirect
149. #4669C22semidirect
158. #4668C22semidirect
159. #4668C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
166. #4667C22semidirect
171. #4666C22semidirect
172. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4660C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
209. #2438D3semidirect
457. #400C2×D3semidirect
463. #398C2×D3semidirect
464. #398C2×D3semidirect
476. #395C2×D3semidirect
490. #391C2×D3semidirect
499. #389C2×D3semidirect
522. #387C2×D3semidirect
523. #387C2×D3semidirect
739. (C2×D3)⋊C4#41semidirect
1612. C3#59008semidirect

Maximal subgroups

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

subgroupindex
C2×#56422
C2×#55242
C3×#24382
#827692
#822382
#782372
#781792
#778522
#778472
#777902
#777602
#772592
#771792
#766282
#764932
#760202
#760152
#753082
#750032
#749922
#746032
#746022
#744072
#743952
#740632
#740502
#740292
#739262
#733682
C2×#46682
#590083