Finite Group Databasebeta

← #11069951

Subgroups — #11069951

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2636C211yesmaximal, characteristic, complemented
4#83104C211yesmaximal, characteristic, complemented
5C4×#940C211yesmaximal, characteristic, complemented
6#78241C211yesmaximal, characteristic, complemented
7#78150C211yesmaximal, characteristic, complemented
8#78116C211yesmaximal, characteristic, complemented
9#78030C211yesmaximal, characteristic, complemented
10#77430C211yesmaximal, characteristic, complemented
11#77370C211yesmaximal, characteristic, complemented
12#77314C211yesmaximal, characteristic, complemented
13#77284C211yesmaximal, characteristic, complemented
14#77144C211yesmaximal, characteristic, complemented
15#77136C211yesmaximal, characteristic, complemented
16#77045C211yesmaximal, characteristic, complemented
17#76946C211yesmaximal, characteristic, complemented
18#76903C211yesmaximal, characteristic, complemented
19#76895C211yesmaximal, characteristic, complemented
20#76721C211yesmaximal, characteristic, complemented
21#76673C211yesmaximal, characteristic, complemented
22#74899C211yesmaximal, characteristic, complemented
23#74892C211yesmaximal, characteristic, complemented
24#74878C211yesmaximal, characteristic, complemented
25#74698C211yesmaximal, characteristic, complemented
26#74603C211yesmaximal, characteristic, complemented
27#74427C211yesmaximal, characteristic, complemented
28#74409C211yesmaximal, characteristic, complemented
29#74397C211yesmaximal, characteristic, complemented
30#74245C211yesmaximal, characteristic, complemented
31#74149C211yesmaximal, characteristic, complemented
32#39396—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×C4×D4C2211yescharacteristic, complemented
36C2×#940C2211yescharacteristic
37C2×#940C2211yescharacteristic
38C2×#939C2211yescharacteristic, complemented
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#930C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5704—28no—
50#5560—28no—
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#895C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×D3×C4⋊C4C2211yescharacteristic, complemented
62C2×#887C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#883C2211yescharacteristic, complemented
72C2×#883C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×#878C2211yescharacteristic, complemented
80C2×#876C2211yescharacteristic, complemented
81C2×#875C2211yescharacteristic
82C2×C4×D12C2211yescharacteristic, complemented
83C3×#400C2211yescharacteristic, complemented
84C3×#399C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
86C3×#396C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic, complemented
89C3×#394C2211yescharacteristic, complemented
90C3×#392C2211yescharacteristic
91C3×#386C2211yescharacteristic
92C3×#386C2211yescharacteristic, complemented
93C3×#385C2211yescharacteristic, complemented
94C3×#385C2211yescharacteristic, complemented
95C3×#382C2211yescharacteristic, complemented
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5221C2211yescharacteristic, complemented
101#5220C2211yescharacteristic
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4994C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4988C2211yescharacteristic
115#4988C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4975C2211yescharacteristic, complemented
121#4973C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4952C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4942C2211yescharacteristic, complemented
157C42×Dic3C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4675C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4671C2211yescharacteristic
165#4671C2211yescharacteristic
166#4671C2211yescharacteristic, complemented
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic
174#4667C2211yescharacteristic
175#4667C2211yescharacteristic, complemented
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2860—31no—
193#2730—31no—
194#2730—31no—
195#2703—31no—
196#2703—31no—
197#2685—31no—
198#2685—31no—
199#2678—31no—
200#2678—31no—
201#2636—31no—
202#2636D311yescharacteristic, complemented
203#2548—31no—
204#2538—31no—
205#2501—31no—
206#2496—31no—
207#2456—31no—
208#2456—31no—
209#2433—31no—
210#2428—31no—
211#2428—31no—
212#2422—31no—
213#2418—31no—
214#2418—31no—
215#2416—31no—
216#2408—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219C4×#127—31no—
220C4×#124—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×D3×D4—24no—
241C2×D3×D4—42no—
242C2×D3×D4—42no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#126—24no—
260C3×C4×D4—24no—
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#940—24no—
294#940—42no—
295#939—24no—
296#937—24no—
297#937—42no—
298#930—24no—
299#929—24no—
300C4×#67—24no—
301C4×#67—42no—
302C4×#67—42no—
303C4×#67—42no—
304C4×#67—42no—
305C2×(C2×D3)⋊C4—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#898—24no—
373#898—24no—
374#896—24no—
375#895—24no—
376#895—24no—
377#894—24no—
378#894—24no—
379#894—42no—
380#893—24no—
381#893—42no—
382D3×C4⋊C4—42no—
383#887—42no—
384#885—24no—
385#885—24no—
386#884—24no—
387#884—24no—
388#884—24no—
389#884—42no—
390#884—42no—
391#884—42no—
392#883—24no—
393#883—42no—
394#882—24no—
395#882—24no—
396#882—24no—
397#882—42no—
398#67⋊C4—42no—
399D3×C22⋊C4—24no—
400#878—24no—
401#876—24no—
402#875D418yescomplemented
403C4×D12—24no—
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427#538—68no—
428#538—68no—
429C2×#127—31no—
430C2×#127—31no—
431C2×#126—31no—
432C2×#126—31no—
433C2×#126—31no—
434C2×#126C2×D311yescharacteristic, complemented
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
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×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×C4×Q8—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4C2×D311yescharacteristic, complemented
473C22×C4⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476#400—31no—
477#400C2×D311yescharacteristic, complemented
478#399—31no—
479#399—31no—
480#399—31no—
481#399C2×D311yescharacteristic, complemented
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396C2×D311yescharacteristic, complemented
491#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392C2×D311yescharacteristic
516#391—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#389—31no—
533#389—31no—
534#389—31no—
535#389—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#387—31no—
549#387—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#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385C2×D311yescharacteristic, complemented
565#385C2×D311yescharacteristic, complemented
566#384—31no—
567#384—31no—
568#382C2×D311yescharacteristic, complemented
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C43—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67#4114yes—
665C22×Dic3—22no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679D3×D4—416no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12C2×D414yes—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×Dic6—41no—
726C2×Dic6—41no—
727C2×Dic6C2×D414yescomplemented
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—41no—
733C3×C4⋊C4—41no—
734C3×C4⋊C4—41no—
735C3×C4⋊C4—41no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C42C2×D414yescomplemented
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4C2×D414yes—
794(C2×D3)⋊C4C2×D414yes—
795(C2×D3)⋊C4C2×D414yescomplemented
796(C2×D3)⋊C4C2×D414yescomplemented
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—41no—
800C4⋊Dic3—41no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C25—31no—
827C25—31no—
828C22×Q8—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—64no—
849C22×D4—122no—
850C22×D4—122no—
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4C22×D311yescharacteristic
863C23×C4C22×D311yescharacteristic
864#127—64no—
865#127—122no—
866#126—24no—
867#126—64no—
868#126—64no—
869#126—64no—
870#124—38no—
871#124—64no—
872#124—64no—
873#123—64no—
874#123—64no—
875#123—64no—
876#123—64no—
877#123—122no—
878#123—122no—
879C22⋊Q8—64no—
880C22⋊Q8—64no—
881#121—64no—
882#121—64no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—122no—
889#121—122no—
890#121—122no—
891#120—64no—
892#120—64no—
893#120—64no—
894#120—64no—
895#120—122no—
896#120—122no—
897C4×Q8—122no—
898C4×D4—24no—
899C4×D4—64no—
900C4×D4—64no—
901C4×D4—64no—
902C4×D4—122no—
903C4×D4—122no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—122no—
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
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—64no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42C22×D311yescharacteristic
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3C2×#4112yes—
1052C23×C3C2511yescharacteristic
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—44no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3C22×D412yes—
1100C22×D3C22×D412yes—
1101C22×D3C2×#4112yes—
1102C3×D4—44no—
1103C3×D4—44no—
1104C3×D4—82no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—82no—
1139C2×C3×C4—82no—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143#67—28no—
1144#67—44no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—82no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—82no—
1182C2×Dic3C22×D412yes—
1183C2×Dic3C22×D412yes—
1184C2×Dic3C2×#4112yes—
1185C2×Dic3H(5,𝔽2)12yes—
1186C2×Dic3H(5,𝔽2)12yes—
1187C2×Dic3H(5,𝔽2)12yes—
1188D12—44no—
1189D12—44no—
1190D12—44no—
1191D12—44no—
1192D12—82no—
1193D12—82no—
1194D12—82no—
1195D12—82no—
1196C4×D3—44no—
1197C4×D3—44no—
1198C4×D3—82no—
1199C4×D3—82no—
1200C4×D3—82no—
1201C4×D3—82no—
1202C4×D3—82no—
1203Dic6—44no—
1204C24—31no—
1205C24—31no—
1206C24—31no—
1207C24—31no—
1208C24—31no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C2×Q8—34no—
1227C2×Q8—121no—
1228C2×Q8—121no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—34no—
1233C2×D4—34no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—1216no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—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×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—62no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—34no—
1383C22⋊C4—34no—
1384C22⋊C4—34no—
1385C22⋊C4—34no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
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—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
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⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C42—62no—
1437C42—62no—
1438C42—62no—
1439C42—62no—
1440C42—62no—
1441C42—62no—
1442C42—62no—
1443C42—62no—
1444C42—121no—
1445C42—121no—
1446C42D3×D414yescomplemented
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3C23×D411yescharacteristic
1469C22×C3C22×#4111yescharacteristic
1470C22×C3C2×H(5,𝔽2)11yescharacteristic
1471C22×C3C2×H(5,𝔽2)11yescharacteristic
1472C22×C3C2×H(5,𝔽2)11yescharacteristic
1473C22×C3#58511yescharacteristic
1474C22×C3#58511yescharacteristic
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—88no—
1511C2×D3—88no—
1512C3×C4—22no—
1513C3×C4—22no—
1514C3×C4—22no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522C3×C4—41no—
1523C3×C4—41no—
1524Dic3—22no—
1525Dic3—22no—
1526Dic3—22no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3#53814yescomplemented
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—32no—
1556C23—32no—
1557C23—32no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—124no—
1591C23—124no—
1592C23—124no—
1593C23—124no—
1594C23—242no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23—242no—
1604C23D3×#4112yes—
1605C23C24×D311yescharacteristic
1606Q8—124no—
1607D4—44no—
1608D4—44no—
1609D4—68no—
1610D4—82no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—242no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—32no—
1663C2×C4—32no—
1664C2×C4—32no—
1665C2×C4—32no—
1666C2×C4—32no—
1667C2×C4—32no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—82no—
1696C2×C4—82no—
1697C2×C4—124no—
1698C2×C4—124no—
1699C2×C4—242no—
1700C2×C4—242no—
1701C2×C4—242no—
1702C2×C4—242no—
1703C2×C4—242no—
1704C2×C4—242no—
1705C2×C4C2×D3×D412yes—
1706C2×C4C2×D3×D412yes—
1707C2×C4C2×D3×D412yes—
1708C2×C3—42no—
1709C2×C3—81no—
1710C2×C3—81no—
1711C2×C3C2×#53811yescharacteristic
1712C2×C3D4×#4111yescharacteristic
1713C2×C3#349611yescharacteristic
1714C2×C3#349811yescharacteristic
1715C2×C3#351311yescharacteristic
1716C2×C3#354611yescharacteristic
1717C2×C3#356211yescharacteristic
1718D3—42no—
1719D3—42no—
1720D3—42no—
1721D3—81no—
1722D3—81no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—62no—
1745C22—62no—
1746C22—62no—
1747C22—62no—
1748C22—62no—
1749C22—62no—
1750C22—62no—
1751C22—62no—
1752C22—62no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—248no—
1780C22—248no—
1781C22C22×D3×D411yescharacteristic
1782C22C2×D3×#4111yescharacteristic
1783C22#596411yescharacteristic
1784C22D3×H(5,𝔽2)11yescharacteristic
1785C22D3×H(5,𝔽2)11yescharacteristic
1786C22D3×H(5,𝔽2)11yescharacteristic
1787C22#596811yescharacteristic
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—34no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—62no—
1802C4—62no—
1803C4—62no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C3#3939611yescharacteristic, complemented, Sylow
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—122no—
1816C2—122no—
1817C2—122no—
1818C2—241no—
1819C2—241no—
1820C2#8603711yescharacteristic
1821C2#8631611yescharacteristic
1822C2#8638211yescharacteristic
1823C2#8640111yescharacteristic
1824C2D3×#53811yescharacteristic
1825C2#8644411yescharacteristic
1826C2#8645511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2636C2
hypercenter#2636D3
hypocenterC3#39396
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2636

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5560C2semidirect
3. C3×#2636C2semidirect
4. #83104C2semidirect
5. C4×#940C2semidirect
6. #78241C2semidirect
7. #78150C2semidirect
8. #78116C2semidirect
9. #78030C2semidirect
10. #77430C2semidirect
11. #77370C2semidirect
12. #77314C2semidirect
13. #77284C2semidirect
14. #77144C2semidirect
15. #77136C2semidirect
16. #77045C2semidirect
17. #76946C2semidirect
18. #76903C2semidirect
19. #76895C2semidirect
20. #76721C2semidirect
21. #76673C2semidirect
22. #74899C2semidirect
23. #74892C2semidirect
24. #74878C2semidirect
25. #74698C2semidirect
26. #74603C2semidirect
27. #74427C2semidirect
28. #74409C2semidirect
29. #74397C2semidirect
30. #74245C2semidirect
31. #74149C2semidirect
34. C2×C3×#126C22semidirect
35. C2×C3×C4×D4C22semidirect
38. C2×#939C22semidirect
41. C2×#930C22semidirect
44. C2×C4×#67C22semidirect
45. C2×C4×#67C22semidirect
46. C2×C4×#67C22semidirect
47. C2×C4×#67C22semidirect
53. C2×#896C22semidirect
55. C2×#895C22semidirect
57. C2×#894C22semidirect
58. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×D3×C4⋊C4C22semidirect
62. C2×#887C22semidirect
63. C2×#885C22semidirect
64. C2×#885C22semidirect
69. C2×#884C22semidirect
70. C2×#884C22semidirect
71. C2×#883C22semidirect
72. C2×#883C22semidirect
79. C2×#878C22semidirect
80. C2×#876C22semidirect
82. C2×C4×D12C22semidirect
83. C3×#400C22semidirect
84. C3×#399C22semidirect
85. C3×#396C22semidirect
86. C3×#396C22semidirect
88. C3×#394C22semidirect
89. C3×#394C22semidirect
92. C3×#386C22semidirect
93. C3×#385C22semidirect
94. C3×#385C22semidirect
95. C3×#382C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
100. #5221C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
104. #4994C22semidirect
105. #4993C22semidirect
109. #4991C22semidirect
110. #4990C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
113. #4990C22semidirect
115. #4988C22semidirect
116. #4976C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
120. #4975C22semidirect
121. #4973C22semidirect
124. #4961C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4958C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
149. #4952C22semidirect
150. #4951C22semidirect
151. #4949C22semidirect
152. #4948C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4942C22semidirect
157. C42×Dic3C22semidirect
158. #4677C22semidirect
161. #4675C22semidirect
162. #4672C22semidirect
163. #4672C22semidirect
166. #4671C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
175. #4667C22semidirect
178. #4666C22semidirect
179. #4666C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4659C22semidirect
186. #4655C22semidirect
187. #4652C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
202. #2636D3semidirect
402. #875D4semidirect
434. C2×#126C2×D3semidirect
472. C2×C4×D4C2×D3semidirect
477. #400C2×D3semidirect
481. #399C2×D3semidirect
490. #396C2×D3semidirect
491. #396C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
561. #386C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
568. #382C2×D3semidirect
727. C2×Dic6C2×D4semidirect
749. C3×C42C2×D4semidirect
795. (C2×D3)⋊C4C2×D4semidirect
796. (C2×D3)⋊C4C2×D4semidirect
1446. C42D3×D4semidirect
1534. Dic3#538semidirect
1811. C3#39396semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#55602
C3×#26362
#831042
C4×#9402
#782412
#781502
#781162
#780302
#774302
#773702
#773142
#772842
#771442
#771362
#770452
#769462
#769032
#768952
#767212
#766732
#748992
#748922
#748782
#746982
#746032
#744272
#744092
#743972
#742452
#741492
#393963