Finite Group Databasebeta

← #11235593

Subgroups — #11235593

Order 768.

2776 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5711C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3C3×#2702C211yesmaximal, characteristic, complemented
4#83106C211yesmaximal, characteristic, complemented
5#82827C211yesmaximal, characteristic, complemented
6#78401C211yesmaximal, characteristic, complemented
7#78138C211yesmaximal, characteristic, complemented
8#77967C211yesmaximal, characteristic, complemented
9#77760C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77416C211yesmaximal, characteristic, complemented
12#77138C211yesmaximal, characteristic, complemented
13#77128C211yesmaximal, characteristic, complemented
14#77114C211yesmaximal, characteristic, complemented
15#76903C211yesmaximal, characteristic, complemented
16#76863C211yesmaximal, characteristic, complemented
17#76822C211yesmaximal, characteristic, complemented
18#76626C211yesmaximal, characteristic, complemented
19#76565C211yesmaximal, characteristic, complemented
20#76220C211yesmaximal, characteristic, complemented
21#76207C211yesmaximal, characteristic, complemented
22#75912C211yesmaximal, characteristic, complemented
23#75912C211yesmaximal, characteristic, complemented
24#75912C211yesmaximal, characteristic, complemented
25#75864C211yesmaximal, characteristic, complemented
26#75859C211yesmaximal, characteristic, complemented
27#75852C211yesmaximal, characteristic, complemented
28#74935C211yesmaximal, characteristic, complemented
29#74912C211yesmaximal, characteristic, complemented
30#74048C211yesmaximal, characteristic, complemented
31#74035C211yesmaximal, characteristic, complemented
32#45452—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45#5711—28no—
46#5627—28no—
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic, complemented
57C2×#894C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic, complemented
61C2×#892C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81C2×#876C2211yescharacteristic, complemented
82C2×#874C2211yescharacteristic
83C2×#874C2211yescharacteristic
84C3×#400C2211yescharacteristic, complemented
85C3×#398C2211yescharacteristic, complemented
86C3×#396C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic
89C3×#393C2211yescharacteristic, complemented
90C3×#391C2211yescharacteristic, complemented
91C3×#389C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#388C2211yescharacteristic, complemented
94C3×#388C2211yescharacteristic, complemented
95C3×#386C2211yescharacteristic
96C3×#380C2211yescharacteristic, complemented
97#5231C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic
114#4988C2211yescharacteristic, complemented
115#4987C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4958C2211yescharacteristic
135#4958C2211yescharacteristic, complemented
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4944C2211yescharacteristic, complemented
144#4942C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4940C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4672C2211yescharacteristic
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4671C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4671C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4666C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#525—31no—
192#2847—31no—
193#2847—31no—
194#2813—31no—
195#2813—31no—
196#2702—31no—
197#2702D311yescharacteristic, complemented
198#2679—31no—
199#2676—31no—
200#2676—31no—
201#2671—31no—
202#2671—31no—
203#2669—31no—
204#2669—31no—
205#2669—31no—
206#2669—31no—
207#2669—31no—
208#2476—31no—
209#2476—31no—
210#2467—31no—
211#2467—31no—
212#2457—31no—
213#2457—31no—
214#2431—31no—
215#2428—31no—
216#2428—31no—
217#2424—31no—
218#2424—31no—
219#2404—31no—
220#2376—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×#239—24no—
238C2×#239—42no—
239C2×#239—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×C4×D3—24no—
260C22×C4×D3—42no—
261C22×C4×D3—42no—
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C3×#126—24no—
272C3×C22⋊Q8—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊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×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#947—42no—
299#946—24no—
300#940—42no—
301#939—42no—
302#937—42no—
303#937—42no—
304#930—24no—
305#930—42no—
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×(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×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
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
366#895—24no—
367#895—24no—
368#895—24no—
369#895—24no—
370#895—42no—
371#895—42no—
372#895—42no—
373#895—42no—
374#894—24no—
375#894—24no—
376#894—24no—
377#894D418yescomplemented
378#893—24no—
379#893—24no—
380#892—24no—
381#884—24no—
382#884—24no—
383#884—24no—
384#884—42no—
385#884—42no—
386#884—42no—
387#882—24no—
388#882—24no—
389#882—24no—
390#882—24no—
391#882—24no—
392#882—42no—
393#882—42no—
394#882—42no—
395#882—42no—
396#882—42no—
397#67⋊C4—24no—
398#67⋊C4—24no—
399D3×C22⋊C4—42no—
400#876—24no—
401#874—24no—
402#874—42no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C24×C4—31no—
431#560—68no—
432C2×#127—31no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#126—31no—
436C2×#126C2×D311yescharacteristic, complemented
437C2×#124—31no—
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8C2×D311yescharacteristic, complemented
445C2×#121—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×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×#117—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400C2×D311yescharacteristic, complemented
482#399—31no—
483#399—31no—
484#398—31no—
485#398C2×D311yescharacteristic, complemented
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic, complemented
490#394—31no—
491#394—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#394C2×D311yescharacteristic
509#394C2×D311yescharacteristic
510#393—31no—
511#393C2×D311yescharacteristic, complemented
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#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#391C2×D311yescharacteristic, complemented
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#389—31no—
535#389C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
546#388C2×D311yescharacteristic, complemented
547#388C2×D311yescharacteristic, complemented
548#387—31no—
549#387—31no—
550#387—31no—
551#387—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#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386C2×D311yescharacteristic
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#380—31no—
582#380C2×D311yescharacteristic, complemented
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
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×D3—41no—
601C23×D3—41no—
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—41no—
612C2×C3×D4—22no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
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
631C2×#67—22no—
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—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
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—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—41no—
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673#239—416no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
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—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
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×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12C2×D414yes—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—416no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3C2×D414yes—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4—41no—
766C3×C4⋊C4—41no—
767C3×C4⋊C4C2×D414yes—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C42—22no—
780C3×C42—41no—
781#217—22no—
782#217—41no—
783#217—41no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
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—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
826(C2×D3)⋊C4C2×D414yes—
827(C2×D3)⋊C4C2×D414yes—
828C4⋊Dic3—22no—
829C4⋊Dic3—41no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—41no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4C2×D414yes—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C25—31no—
845C25—31no—
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C22×Q8C22×D311yescharacteristic
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
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×D4C22×D311yescharacteristic
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—64no—
891C23×C4—122no—
892C23×C4—122no—
893C23×C4C22×D311yescharacteristic
894#127—64no—
895#127—122no—
896#127—122no—
897#126—24no—
898#126—64no—
899#124—122no—
900#123—38no—
901#123—64no—
902#123—64no—
903#123—64no—
904C22⋊Q8—24no—
905C22⋊Q8—64no—
906#121—64no—
907#121—64no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—122no—
915#121—122no—
916#121—122no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—64no—
924#120—64no—
925#120—64no—
926#120—64no—
927#120—64no—
928#120—122no—
929#120—122no—
930#120—122no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—64no—
938C4×D4—64no—
939#117—64no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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—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—122no—
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42C22×D311yescharacteristic
1025C2×C42C22×D311yescharacteristic
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044#95C22×D311yescharacteristic
1045#95C22×D311yescharacteristic
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3H(5,𝔽2)12yes—
1066C23×C3C2511yescharacteristic
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—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
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—44no—
1114C22×D3—44no—
1115C22×D3—44no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—82no—
1122C22×D3—82no—
1123C22×D3—82no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3C22×D412yes—
1128C22×D3C22×D412yes—
1129C22×D3H(5,𝔽2)12yes—
1130C3×Q8—44no—
1131C3×D4—82no—
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—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
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—44no—
1168C2×C3×C4C22×D412yes—
1169C2×C3×C4C22×D412yes—
1170C2×C3×C4C22×D412yes—
1171C2×C3×C4H(5,𝔽2)12yes—
1172#67—44no—
1173#67—44no—
1174#67—82no—
1175#67—82no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—44no—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3H(5,𝔽2)12yes—
1210D12—44no—
1211D12—44no—
1212D12—44no—
1213D12—44no—
1214D12—44no—
1215D12—82no—
1216D12—82no—
1217D12—82no—
1218D12—82no—
1219D12—82no—
1220D12—82no—
1221D12—82no—
1222D12—82no—
1223D12—82no—
1224D12—82no—
1225D12—82no—
1226D12—82no—
1227D12—82no—
1228D12—82no—
1229C4×D3—28no—
1230C4×D3—44no—
1231C4×D3—44no—
1232C4×D3—44no—
1233C4×D3—44no—
1234C4×D3—44no—
1235C4×D3—82no—
1236C4×D3—82no—
1237C4×D3—82no—
1238C24—31no—
1239C24—31no—
1240C24—31no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—31no—
1245C24—62no—
1246C24—62no—
1247C24—62no—
1248C24—62no—
1249C24—121no—
1250C24—121no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24—121no—
1256C24—121no—
1257C24—121no—
1258C24—121no—
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261#41—1216no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—41no—
1265C2×D4—22no—
1266C2×D4—34no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
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—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—34no—
1361C22×C4—31no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—41no—
1368C22×C4—62no—
1369C22×C4—62no—
1370C22×C4—62no—
1371C22×C4—62no—
1372C22×C4—62no—
1373C22×C4—62no—
1374C22×C4—62no—
1375C22×C4—62no—
1376C22×C4—62no—
1377C22×C4—62no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4—121no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—1216no—
1397C22×C4—121no—
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—34no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4D3×D414yes—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—34no—
1441C22⋊C4—34no—
1442C22⋊C4—34no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—121no—
1467C22⋊C4—121no—
1468C22⋊C4—121no—
1469C22⋊C4—121no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C42—22no—
1491C42—41no—
1492C42—62no—
1493C42—62no—
1494C42—121no—
1495C42—121no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3C23×D411yescharacteristic
1511C22×C3C2×H(5,𝔽2)11yescharacteristic
1512C22×C3C2×H(5,𝔽2)11yescharacteristic
1513C22×C3C2×H(5,𝔽2)11yescharacteristic
1514C22×C3C2×H(5,𝔽2)11yescharacteristic
1515C22×C3#58511yescharacteristic
1516C22×C3#58511yescharacteristic
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—22no—
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—416no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—88no—
1568C3×C4—22no—
1569C3×C4—22no—
1570C3×C4—22no—
1571C3×C4—22no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577C3×C4—41no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581Dic3—22no—
1582Dic3—22no—
1583Dic3—22no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—32no—
1604C23—32no—
1605C23—32no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—124no—
1653C23—124no—
1654C23—124no—
1655C23—124no—
1656C23—124no—
1657C23—124no—
1658C23—124no—
1659C23—124no—
1660C23—242no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23—242no—
1665C23—242no—
1666C23#100912yes—
1667C23C24×D311yescharacteristic
1668Q8—44no—
1669D4—82no—
1670D4—124no—
1671D4—124no—
1672D4—124no—
1673D4—124no—
1674D4—124no—
1675D4—124no—
1676D4—124no—
1677D4—242no—
1678D4—242no—
1679D4—242no—
1680D4—242no—
1681D4—242no—
1682D4—242no—
1683D4—242no—
1684D4—242no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—32no—
1735C2×C4—32no—
1736C2×C4—32no—
1737C2×C4—44no—
1738C2×C4—68no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—124no—
1764C2×C4—124no—
1765C2×C4—124no—
1766C2×C4—124no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—242no—
1770C2×C4—242no—
1771C2×C4—242no—
1772C2×C4C2×D3×D412yes—
1773C2×C4C2×D3×D412yes—
1774C2×C4C2×D3×D412yes—
1775C2×C4#100912yes—
1776C2×C3—42no—
1777C2×C3—81no—
1778C2×C3#348411yescharacteristic
1779C2×C3#348811yescharacteristic
1780C2×C3#348811yescharacteristic
1781C2×C3#352911yescharacteristic
1782C2×C3#353711yescharacteristic
1783C2×C3#354211yescharacteristic
1784C2×C3#354211yescharacteristic
1785D3—42no—
1786D3—42no—
1787D3—42no—
1788D3—81no—
1789D3—81no—
1790D3—81no—
1791D3—81no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—62no—
1807C22—62no—
1808C22—62no—
1809C22—62no—
1810C22—62no—
1811C22—62no—
1812C22—62no—
1813C22—62no—
1814C22—62no—
1815C22—1216no—
1816C22—121no—
1817C22—121no—
1818C22—121no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22—121no—
1828C22—121no—
1829C22—121no—
1830C22—121no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—248no—
1857C22C22×D3×D411yescharacteristic
1858C22C2×#100911yescharacteristic
1859C22C2×#100911yescharacteristic
1860C22D3×H(5,𝔽2)11yescharacteristic
1861C22D3×H(5,𝔽2)11yescharacteristic
1862C22#596811yescharacteristic
1863C22#596811yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—62no—
1878C4—62no—
1879C4—62no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C3#4545211yescharacteristic, complemented, Sylow
1887C2—42no—
1888C2—81no—
1889C2—122no—
1890C2—122no—
1891C2—122no—
1892C2—241no—
1893C2—241no—
1894C2—241no—
1895C2—241no—
1896C2#8637911yescharacteristic
1897C2#8639611yescharacteristic
1898C2#8656311yescharacteristic
1899C2#8666211yescharacteristic
1900C2#8671311yescharacteristic
1901C2#8684611yescharacteristic
1902C2#8711511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2702C2
hypercenter#2702D3
hypocenterC3#45452
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. C2×#5711C2semidirect
2. C2×#5627C2semidirect
3. C3×#2702C2semidirect
4. #83106C2semidirect
5. #82827C2semidirect
6. #78401C2semidirect
7. #78138C2semidirect
8. #77967C2semidirect
9. #77760C2semidirect
10. #77448C2semidirect
11. #77416C2semidirect
12. #77138C2semidirect
13. #77128C2semidirect
14. #77114C2semidirect
15. #76903C2semidirect
16. #76863C2semidirect
17. #76822C2semidirect
18. #76626C2semidirect
19. #76565C2semidirect
20. #76220C2semidirect
21. #76207C2semidirect
22. #75912C2semidirect
23. #75912C2semidirect
24. #75912C2semidirect
25. #75864C2semidirect
26. #75859C2semidirect
27. #75852C2semidirect
28. #74935C2semidirect
29. #74912C2semidirect
30. #74048C2semidirect
31. #74035C2semidirect
34. C23×C4×D3C22semidirect
35. C2×C3×#126C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
37. C2×#947C22semidirect
38. C2×#946C22semidirect
52. C2×#895C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
56. C2×#894C22semidirect
57. C2×#894C22semidirect
58. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×#892C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#882C22semidirect
79. C2×#67⋊C4C22semidirect
80. C2×D3×C22⋊C4C22semidirect
81. C2×#876C22semidirect
84. C3×#400C22semidirect
85. C3×#398C22semidirect
86. C3×#396C22semidirect
89. C3×#393C22semidirect
90. C3×#391C22semidirect
91. C3×#389C22semidirect
92. C3×#388C22semidirect
93. C3×#388C22semidirect
94. C3×#388C22semidirect
96. C3×#380C22semidirect
97. #5231C22semidirect
98. #5213C22semidirect
99. #4994C22semidirect
100. #4993C22semidirect
101. #4993C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
114. #4988C22semidirect
115. #4987C22semidirect
116. #4987C22semidirect
117. #4980C22semidirect
118. #4978C22semidirect
119. #4976C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
135. #4958C22semidirect
138. #4957C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4944C22semidirect
144. #4942C22semidirect
145. #4940C22semidirect
146. #4940C22semidirect
147. #4940C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
155. #4672C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4671C22semidirect
163. #4671C22semidirect
164. #4671C22semidirect
165. #4671C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4667C22semidirect
172. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4664C22semidirect
186. #4658C22semidirect
187. #4657C22semidirect
188. #4652C22semidirect
189. #4652C22semidirect
197. #2702D3semidirect
377. #894D4semidirect
436. C2×#126C2×D3semidirect
444. C2×C22⋊Q8C2×D3semidirect
481. #400C2×D3semidirect
485. #398C2×D3semidirect
489. #396C2×D3semidirect
511. #393C2×D3semidirect
528. #391C2×D3semidirect
535. #389C2×D3semidirect
545. #388C2×D3semidirect
546. #388C2×D3semidirect
547. #388C2×D3semidirect
582. #380C2×D3semidirect
1886. C3#45452semidirect

Maximal subgroups

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

subgroupindex
C2×#57112
C2×#56272
C3×#27022
#831062
#828272
#784012
#781382
#779672
#777602
#774482
#774162
#771382
#771282
#771142
#769032
#768632
#768222
#766262
#765652
#762202
#762072
#759122
#758642
#758592
#758522
#749352
#749122
#740482
#740352
#454523