Finite Group Databasebeta

← #11025560

Subgroups — #11025560

Order 768.

3060 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#930C211yesmaximal, characteristic, complemented
2C2×#5663C211yesmaximal, characteristic, complemented
3C3×#2849C211yesmaximal, characteristic, complemented
4C4×#953C211yesmaximal, characteristic, complemented
5#82906C211yesmaximal, characteristic, complemented
6#82905C211yesmaximal, characteristic, complemented
7#82867C211yesmaximal, characteristic, complemented
8#82588C211yesmaximal, characteristic, complemented
9#82582C211yesmaximal, characteristic, complemented
10#74921C211yesmaximal, characteristic, complemented
11#74893C211yesmaximal, characteristic, complemented
12#74887C211yesmaximal, characteristic, complemented
13#74879C211yesmaximal, characteristic, complemented
14#74792C211yesmaximal, characteristic, complemented
15#74719C211yesmaximal, characteristic, complemented
16#74703C211yesmaximal, characteristic, complemented
17#74698C211yesmaximal, characteristic, complemented
18#74628C211yesmaximal, characteristic, complemented
19#74603C211yesmaximal, characteristic, complemented
20#74601C211yesmaximal, characteristic, complemented
21#74595C211yesmaximal, characteristic, complemented
22#74528C211yesmaximal, characteristic, complemented
23#74447C211yesmaximal, characteristic, complemented
24#74441C211yesmaximal, characteristic, complemented
25#74432C211yesmaximal, characteristic, complemented
26#74137C211yesmaximal, characteristic, complemented
27#74099C211yesmaximal, characteristic, complemented
28#74097C211yesmaximal, characteristic, complemented
29#74058C211yesmaximal, characteristic, complemented
30#73854C211yesmaximal, characteristic, complemented
31#73853C211yesmaximal, characteristic, complemented
32#37722—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C23×D12C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#940C2211yescharacteristic, complemented
42C2×#940C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×D4×Dic3C2211yescharacteristic
49C2×#930—28no—
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic
53C2×#930C2211yescharacteristic
54C2×#930C2211yescharacteristic
55C2×#930C2211yescharacteristic
56C2×#930C2211yescharacteristic
57C2×#930C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic, complemented
60C2×C4×#67C2211yescharacteristic, complemented
61C22×(C2×D3)⋊C4C2211yescharacteristic
62C22×(C2×D3)⋊C4C2211yescharacteristic
63C22×C4⋊Dic3C2211yescharacteristic
64#5663—28no—
65C2×#895C2211yescharacteristic, complemented
66C2×#895C2211yescharacteristic, complemented
67C2×#894C2211yescharacteristic, complemented
68C2×#892C2211yescharacteristic, complemented
69C2×#889C2211yescharacteristic, complemented
70C2×#886C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×D3×C22⋊C4C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic
88C3×#385C2211yescharacteristic
89C3×#385C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91C3×#381C2211yescharacteristic, complemented
92C3×#381C2211yescharacteristic, complemented
93C3×#379C2211yescharacteristic
94#5247C2211yescharacteristic
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5210C2211yescharacteristic
103#5210C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105C4×#217C2211yescharacteristic
106C4×#217C2211yescharacteristic, complemented
107C4×#217C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4981C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4956C2211yescharacteristic, complemented
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic
151#4953C2211yescharacteristic, complemented
152#4950C2211yescharacteristic
153#4950C2211yescharacteristic, complemented
154#4946C2211yescharacteristic
155#4946C2211yescharacteristic
156#4942C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4661C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#540—31no—
191C22×#121—31no—
192#2849D311yescharacteristic, complemented
193#2711—31no—
194#2701—31no—
195#2699—31no—
196#2688—31no—
197#2673—31no—
198#2673—31no—
199#2671—31no—
200#2671—31no—
201#2661—31no—
202#2635—31no—
203#2476—31no—
204#2473—31no—
205#2464—31no—
206#2464—31no—
207#2443—31no—
208#2433—31no—
209#2428—31no—
210#2424—31no—
211#2418—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2408—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2333—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4—24no—
228C23×C3×C4—42no—
229C23×C3×C4—42no—
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67—24no—
237C22×#67—24no—
238C22×#67—42no—
239C22×#67—42no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C22×D12—24no—
262C22×D12—42no—
263C22×D12—42no—
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C3×#123—24no—
278C3×#123—42no—
279C3×#120—42no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297#953—24no—
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#940—24no—
310#940—42no—
311#939—24no—
312#939—42no—
313#939—42no—
314#937—24no—
315#937—42no—
316D4×Dic3—42no—
317#930—24no—
318#930—24no—
319#930—24no—
320#930—24no—
321#930—24no—
322#930—24no—
323#930—24no—
324#930D418yescomplemented
325C4×#67—24no—
326C4×#67—42no—
327C4×#67—42no—
328C2×(C2×D3)⋊C4—24no—
329C2×(C2×D3)⋊C4—24no—
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×C4⋊Dic3—24no—
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#895—24no—
389#895—42no—
390#894—24no—
391#892—24no—
392#889—24no—
393#886—24no—
394#884—24no—
395#884—24no—
396#884—24no—
397#884—42no—
398#884—42no—
399#883—24no—
400#883—42no—
401#882—42no—
402#882—42no—
403#67⋊C4—24no—
404D3×C22⋊C4—24no—
405D3×C22⋊C4—42no—
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C24×C4C2×D311yescharacteristic
436#540—68no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#125—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123C2×D311yescharacteristic, complemented
445C2×#123C2×D311yescharacteristic, complemented
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—68no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120C2×D311yescharacteristic
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×#117—31no—
477C22×C4⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482#400—31no—
483#399—31no—
484#399—31no—
485#398—31no—
486#398—31no—
487#398—31no—
488#398—31no—
489#397—31no—
490#397—31no—
491#396—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385C2×D311yescharacteristic
571#385C2×D311yescharacteristic
572#385C2×D311yescharacteristic, complemented
573#385C2×D311yescharacteristic, complemented
574#381—31no—
575#381C2×D311yescharacteristic, complemented
576#381C2×D311yescharacteristic, complemented
577#380—31no—
578#380—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—416no—
646C22×C3×C4C2×D414yes—
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—416no—
705C2×#67—416no—
706C2×#67C2×D414yes—
707C2×#67C2×D414yes—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3—41no—
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—416no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12C2×D414yes—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—41no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217#4114yes—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4C2×D414yes—
829(C2×D3)⋊C4C2×D414yes—
830C4⋊Dic3—22no—
831C4⋊Dic3—22no—
832C4⋊Dic3—22no—
833C4⋊Dic3—22no—
834C4⋊Dic3—41no—
835C4⋊Dic3—41no—
836C4⋊Dic3C2×D414yes—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—41no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C25—31no—
854C25—31no—
855C25C22×D311yescharacteristic
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C23×C4—24no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—42no—
902C23×C4—42no—
903C23×C4C22×D311yescharacteristic
904C23×C4C22×D311yescharacteristic
905C23×C4C22×D311yescharacteristic
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909#127—64no—
910#127—122no—
911#125—64no—
912#123—24no—
913#123—42no—
914#123—64no—
915#123—64no—
916#123—64no—
917#123—122no—
918#121—38no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—122no—
932#121—122no—
933#121—122no—
934#121—122no—
935#121—122no—
936#120—42no—
937#120—64no—
938#120—64no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947#117—64no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—64no—
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—122no—
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—28no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3C22×D412yes—
1095C23×C3C2×#4112yes—
1096C23×C3H(5,𝔽2)12yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3C2511yescharacteristic
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3C22×D412yes—
1148C22×D3C22×D412yes—
1149C3×D4—44no—
1150C3×D4—82no—
1151C3×D4—82no—
1152C2×C3×C4—28no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—44no—
1184C2×C3×C4—44no—
1185C2×C3×C4—44no—
1186C2×C3×C4—44no—
1187C2×C3×C4—44no—
1188C2×C3×C4C22×D412yes—
1189C2×C3×C4C22×D412yes—
1190C2×C3×C4H(5,𝔽2)12yes—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—44no—
1195#67—44no—
1196#67—44no—
1197#67—44no—
1198#67—44no—
1199#67—44no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—82no—
1204#67—82no—
1205#67—82no—
1206#67—82no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—44no—
1237C2×Dic3—44no—
1238C2×Dic3—82no—
1239C2×Dic3C22×D412yes—
1240C2×Dic3C22×D412yes—
1241C2×Dic3C2×#4112yes—
1242C2×Dic3C2×#4112yes—
1243D12—44no—
1244D12—44no—
1245D12—44no—
1246D12—44no—
1247D12—82no—
1248D12—82no—
1249D12—82no—
1250D12—82no—
1251C4×D3—44no—
1252C4×D3—82no—
1253C4×D3—82no—
1254C4×D3—82no—
1255C4×D3—82no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—31no—
1262C24—31no—
1263C24—31no—
1264C24—31no—
1265C24—31no—
1266C24—41no—
1267C24—41no—
1268C24—62no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24—121no—
1281C24—121no—
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—34no—
1292C2×D4—34no—
1293C2×D4—34no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—1216no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—1216no—
1369C2×D4—1216no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4—62no—
1400C22×C4—62no—
1401C22×C4—62no—
1402C22×C4—62no—
1403C22×C4—62no—
1404C22×C4—62no—
1405C22×C4—62no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—121no—
1410C22×C4—121no—
1411C22×C4—121no—
1412C22×C4—121no—
1413C22×C4—121no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4D3×D414yes—
1424C22×C4C23×D311yescharacteristic
1425C22×C4C23×D311yescharacteristic
1426C22×C4C23×D311yescharacteristic
1427C22×C4C23×D311yescharacteristic
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—34no—
1439C4⋊C4—41no—
1440C4⋊C4—62no—
1441C4⋊C4—62no—
1442C4⋊C4—62no—
1443C4⋊C4—62no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—121no—
1450C4⋊C4—121no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—34no—
1465C22⋊C4—34no—
1466C22⋊C4—34no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C42—62no—
1515C42—62no—
1516C42—121no—
1517C42—121no—
1518C42—121no—
1519C42—121no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—22no—
1523C22×C3—22no—
1524C22×C3—22no—
1525C22×C3—22no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—416no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3#54014yescomplemented
1549C22×C3C23×D411yescharacteristic
1550C22×C3C22×#4111yescharacteristic
1551C22×C3C2×H(5,𝔽2)11yescharacteristic
1552C22×C3C2×H(5,𝔽2)11yescharacteristic
1553C22×C3C2×H(5,𝔽2)11yescharacteristic
1554C22×C3C2×H(5,𝔽2)11yescharacteristic
1555C22×C3#58511yescharacteristic
1556C2×D3—22no—
1557C2×D3—22no—
1558C2×D3—22no—
1559C2×D3—22no—
1560C2×D3—22no—
1561C2×D3—22no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—88no—
1592C2×D3—88no—
1593C3×C4—22no—
1594C3×C4—22no—
1595C3×C4—22no—
1596C3×C4—41no—
1597C3×C4—41no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4—41no—
1604Dic3—22no—
1605Dic3—22no—
1606Dic3—22no—
1607Dic3—22no—
1608Dic3—41no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—28no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—32no—
1640C23—32no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—124no—
1681C23—124no—
1682C23—124no—
1683C23—124no—
1684C23—124no—
1685C23—124no—
1686C23—124no—
1687C23—124no—
1688C23—242no—
1689C23—242no—
1690C23—242no—
1691C23—242no—
1692C23—242no—
1693C23—242no—
1694C23C2×D3×D412yes—
1695C23#100412yes—
1696C23D3×#4112yes—
1697C23#100912yes—
1698C23#100912yes—
1699C23C24×D311yescharacteristic
1700D4—44no—
1701D4—82no—
1702D4—82no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—124no—
1714D4—124no—
1715D4—124no—
1716D4—124no—
1717D4—124no—
1718D4—124no—
1719D4—242no—
1720D4—242no—
1721D4—242no—
1722D4—242no—
1723D4—242no—
1724D4—242no—
1725D4—242no—
1726D4—242no—
1727C2×C4—28no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—32no—
1759C2×C4—32no—
1760C2×C4—32no—
1761C2×C4—32no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—124no—
1797C2×C4—124no—
1798C2×C4—124no—
1799C2×C4—242no—
1800C2×C4—242no—
1801C2×C4—242no—
1802C2×C4—242no—
1803C2×C4—242no—
1804C2×C4C2×D3×D412yes—
1805C2×C4C2×D3×D412yes—
1806C2×C4#100412yes—
1807C2×C3—24no—
1808C2×C3—42no—
1809C2×C3—42no—
1810C2×C3—81no—
1811C2×C3C2×#54011yescharacteristic
1812C2×C3D4×#4111yescharacteristic
1813C2×C3#348411yescharacteristic
1814C2×C3#348411yescharacteristic
1815C2×C3#351911yescharacteristic
1816C2×C3#353411yescharacteristic
1817C2×C3#354211yescharacteristic
1818D3—42no—
1819D3—42no—
1820D3—81no—
1821D3—81no—
1822D3—81no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—416no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—62no—
1852C22—62no—
1853C22—62no—
1854C22—62no—
1855C22—62no—
1856C22—62no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—248no—
1887C22—248no—
1888C22#566314yescomplemented
1889C22C22×D3×D411yescharacteristic
1890C22C2×#100411yescharacteristic
1891C22C2×#100411yescharacteristic
1892C22C2×D3×#4111yescharacteristic
1893C22C2×#100911yescharacteristic
1894C22C2×#100911yescharacteristic
1895C22#596411yescharacteristic
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—62no—
1908C4—62no—
1909C4—62no—
1910C4—62no—
1911C4—121no—
1912C4—121no—
1913C4—121no—
1914C4—121no—
1915C4—121no—
1916C4—121no—
1917C4—121no—
1918C3#3772211yescharacteristic, complemented, Sylow
1919C2—24no—
1920C2—42no—
1921C2—42no—
1922C2—81no—
1923C2—122no—
1924C2—122no—
1925C2—241no—
1926C2—241no—
1927C2—241no—
1928C2#8591911yescharacteristic
1929C2C2×#566311yescharacteristic
1930C2#8601711yescharacteristic
1931C2#8603311yescharacteristic
1932C2#8603711yescharacteristic
1933C2#8603911yescharacteristic
1934C2#8604611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2849C2
hypercenter#2849D3
hypocenterC3#37722
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C22×#930C2semidirect
2. C2×#5663C2semidirect
3. C3×#2849C2semidirect
4. C4×#953C2semidirect
5. #82906C2semidirect
6. #82905C2semidirect
7. #82867C2semidirect
8. #82588C2semidirect
9. #82582C2semidirect
10. #74921C2semidirect
11. #74893C2semidirect
12. #74887C2semidirect
13. #74879C2semidirect
14. #74792C2semidirect
15. #74719C2semidirect
16. #74703C2semidirect
17. #74698C2semidirect
18. #74628C2semidirect
19. #74603C2semidirect
20. #74601C2semidirect
21. #74595C2semidirect
22. #74528C2semidirect
23. #74447C2semidirect
24. #74441C2semidirect
25. #74432C2semidirect
26. #74137C2semidirect
27. #74099C2semidirect
28. #74097C2semidirect
29. #74058C2semidirect
30. #73854C2semidirect
31. #73853C2semidirect
37. C2×C3×#123C22semidirect
38. C2×C3×#123C22semidirect
41. C2×#940C22semidirect
42. C2×#940C22semidirect
44. C2×#939C22semidirect
45. C2×#939C22semidirect
59. C2×C4×#67C22semidirect
60. C2×C4×#67C22semidirect
65. C2×#895C22semidirect
66. C2×#895C22semidirect
67. C2×#894C22semidirect
68. C2×#892C22semidirect
69. C2×#889C22semidirect
70. C2×#886C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#883C22semidirect
77. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
89. C3×#385C22semidirect
90. C3×#385C22semidirect
91. C3×#381C22semidirect
92. C3×#381C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
103. #5210C22semidirect
104. #5210C22semidirect
106. C4×#217C22semidirect
107. C4×#217C22semidirect
108. #4993C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4990C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4987C22semidirect
116. #4982C22semidirect
117. #4981C22semidirect
118. #4980C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
137. #4958C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
148. #4956C22semidirect
151. #4953C22semidirect
153. #4950C22semidirect
158. #4677C22semidirect
159. #4676C22semidirect
160. #4675C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4669C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4668C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4661C22semidirect
185. #4659C22semidirect
186. #4657C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
192. #2849D3semidirect
324. #930D4semidirect
444. C2×#123C2×D3semidirect
445. C2×#123C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
572. #385C2×D3semidirect
573. #385C2×D3semidirect
575. #381C2×D3semidirect
576. #381C2×D3semidirect
1548. C22×C3#540semidirect
1888. C22#5663semidirect
1918. C3#37722semidirect

Maximal subgroups

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

subgroupindex
C22×#9302
C2×#56632
C3×#28492
C4×#9532
#829062
#829052
#828672
#825882
#825822
#749212
#748932
#748872
#748792
#747922
#747192
#747032
#746982
#746282
#746032
#746012
#745952
#745282
#744472
#744412
#744322
#741372
#740992
#740972
#740582
#738542
#738532
#377223