Finite Group Databasebeta

← #11301970

Subgroups — #11301970

Order 768.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#539C211yesmaximal, characteristic, complemented
2C2×#5630C211yesmaximal, characteristic, complemented
3#83117C211yesmaximal, characteristic, complemented
4#83114C211yesmaximal, characteristic, complemented
5#83094C211yesmaximal, characteristic, complemented
6#83081C211yesmaximal, characteristic, complemented
7#83070C211yesmaximal, characteristic, complemented
8#83070C211yesmaximal, characteristic, complemented
9#83059C211yesmaximal, characteristic, complemented
10#83047C211yesmaximal, characteristic, complemented
11#82907C211yesmaximal, characteristic, complemented
12#82907C211yesmaximal, characteristic, complemented
13#82906C211yesmaximal, characteristic, complemented
14#82904C211yesmaximal, characteristic, complemented
15#82903C211yesmaximal, characteristic, complemented
16#82899C211yesmaximal, characteristic, complemented
17#82896C211yesmaximal, characteristic, complemented
18#82896C211yesmaximal, characteristic, complemented
19#82812C211yesmaximal, characteristic, complemented
20#82812C211yesmaximal, characteristic, complemented
21#82806C211yesmaximal, characteristic, complemented
22#82806C211yesmaximal, characteristic, complemented
23#82750C211yesmaximal, characteristic, complemented
24#82714C211yesmaximal, characteristic, complemented
25#82707C211yesmaximal, characteristic, complemented
26#82419C211yesmaximal, characteristic, complemented
27#82411C211yesmaximal, characteristic, complemented
28#82409C211yesmaximal, characteristic, complemented
29#82403C211yesmaximal, characteristic, complemented
30#82195C211yesmaximal, characteristic, complemented
31#82193C211yesmaximal, characteristic, complemented
32#47840—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C3×#539—28no—
36C2×C3×#126C2211yescharacteristic
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#125C2211yescharacteristic, complemented
39C2×C3×#125C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×C22⋊Q8C2211yescharacteristic
45C2×C3×C22⋊Q8C2211yescharacteristic, complemented
46C2×C3×C22⋊Q8C2211yescharacteristic, complemented
47C2×C3×#121C2211yescharacteristic
48C2×C3×C4×D4C2211yescharacteristic
49C2×C3×C4×D4C2211yescharacteristic, complemented
50C22×C3×C4⋊C4C2211yescharacteristic, complemented
51C2×#947C2211yescharacteristic
52C2×#940C2211yescharacteristic, complemented
53C2×#938C2211yescharacteristic, complemented
54C2×#937C2211yescharacteristic
55C2×#937C2211yescharacteristic
56C2×#937C2211yescharacteristic
57C2×#937C2211yescharacteristic
58C2×#930C2211yescharacteristic
59C2×#930C2211yescharacteristic
60C2×#930C2211yescharacteristic, complemented
61C2×#930C2211yescharacteristic, complemented
62C2×#930C2211yescharacteristic, complemented
63C2×C4×#67C2211yescharacteristic
64C2×C4×#67C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67#5630—28no—
68C2×#895C2211yescharacteristic
69C2×#895C2211yescharacteristic
70C2×#895C2211yescharacteristic
71C2×#894C2211yescharacteristic
72C2×#894C2211yescharacteristic
73C2×#893C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78#5229C2211yescharacteristic, complemented
79#5229C2211yescharacteristic, complemented
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic, complemented
83#5223C2211yescharacteristic, complemented
84#5222C2211yescharacteristic
85#5222C2211yescharacteristic
86#5213C2211yescharacteristic, complemented
87#5213C2211yescharacteristic, complemented
88#5213C2211yescharacteristic, complemented
89#5213C2211yescharacteristic, complemented
90#5213C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic
94#5211C2211yescharacteristic
95#5210C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4992C2211yescharacteristic, complemented
106#4992C2211yescharacteristic, complemented
107#4992C2211yescharacteristic, complemented
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic
110#4991C2211yescharacteristic
111#4991C2211yescharacteristic
112#4991C2211yescharacteristic
113#4991C2211yescharacteristic
114#4991C2211yescharacteristic, complemented
115#4991C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4991C2211yescharacteristic, complemented
119#4990C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4990C2211yescharacteristic, complemented
122#4990C2211yescharacteristic, complemented
123#4990C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4989C2211yescharacteristic, complemented
126#4989C2211yescharacteristic, complemented
127#4989C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4989C2211yescharacteristic, complemented
131#4988C2211yescharacteristic, complemented
132#4988C2211yescharacteristic, complemented
133#4988C2211yescharacteristic, complemented
134#4987C2211yescharacteristic, complemented
135#4987C2211yescharacteristic, complemented
136#4987C2211yescharacteristic, complemented
137#4984C2211yescharacteristic, complemented
138#4984C2211yescharacteristic, complemented
139#4982C2211yescharacteristic, complemented
140#4980C2211yescharacteristic, complemented
141#4980C2211yescharacteristic, complemented
142#4980C2211yescharacteristic, complemented
143#4980C2211yescharacteristic, complemented
144#4978C2211yescharacteristic, complemented
145#4978C2211yescharacteristic, complemented
146#4961C2211yescharacteristic, complemented
147#4961C2211yescharacteristic, complemented
148#4961C2211yescharacteristic, complemented
149#4961C2211yescharacteristic, complemented
150#4960C2211yescharacteristic
151#4960C2211yescharacteristic
152#4960C2211yescharacteristic
153#4960C2211yescharacteristic
154#4960C2211yescharacteristic
155#4960C2211yescharacteristic
156#4960C2211yescharacteristic, complemented
157#4960C2211yescharacteristic, complemented
158#4960C2211yescharacteristic, complemented
159#4959C2211yescharacteristic
160#4959C2211yescharacteristic
161#4957C2211yescharacteristic, complemented
162#4957C2211yescharacteristic, complemented
163#4957C2211yescharacteristic, complemented
164#4956C2211yescharacteristic, complemented
165#4956C2211yescharacteristic, complemented
166#4956C2211yescharacteristic, complemented
167#4956C2211yescharacteristic, complemented
168#4956C2211yescharacteristic, complemented
169#4955C2211yescharacteristic
170#4955C2211yescharacteristic
171#4955C2211yescharacteristic
172#4955C2211yescharacteristic
173#4952C2211yescharacteristic
174#4952C2211yescharacteristic
175#4951C2211yescharacteristic
176#4951C2211yescharacteristic
177#4951C2211yescharacteristic
178#4951C2211yescharacteristic
179#4948C2211yescharacteristic, complemented
180#4944C2211yescharacteristic, complemented
181#4944C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185#4939C2211yescharacteristic
186#4939C2211yescharacteristic
187#4939C2211yescharacteristic, complemented
188C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#539D311yescharacteristic, complemented
192#2730—31no—
193#2730—31no—
194#2714—31no—
195#2711—31no—
196#2711—31no—
197#2707—31no—
198#2705—31no—
199#2685—31no—
200#2678—31no—
201#2678—31no—
202#2673—31no—
203#2669—31no—
204#2630—31no—
205#2613—31no—
206#2600—31no—
207#2480—31no—
208#2460—31no—
209#2456—31no—
210#2456—31no—
211#2443—31no—
212#2428—31no—
213#2424—31no—
214#2418—31no—
215#2418—31no—
216#2416—31no—
217#2408—31no—
218#2407—31no—
219#2407—31no—
220#2378—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C2×#239—24no—
244C2×#239—42no—
245C2×#239—42no—
246C22×D12—24no—
247C22×D12—42no—
248C22×D12—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C3×#126—24no—
263C3×#126—24no—
264C3×#125—24no—
265C3×#125—24no—
266C3×#123—24no—
267C3×#123—24no—
268C3×#123—24no—
269C3×#123—24no—
270C3×C22⋊Q8—24no—
271C3×C22⋊Q8—24no—
272C3×C22⋊Q8D418yescomplemented
273C3×#121—24no—
274C3×C4×D4—24no—
275C3×C4×D4—24no—
276C2×C3×C4⋊C4—24no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊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
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#947—24no—
315#940—42no—
316#938—42no—
317#937—42no—
318#937—42no—
319#937—42no—
320#937—42no—
321#930—42no—
322#930—42no—
323#930—42no—
324#930—42no—
325#930—42no—
326C4×#67—24no—
327C4×#67—42no—
328C4×#67—42no—
329C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
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
387#895—24no—
388#895—24no—
389#895—24no—
390#894—24no—
391#894—24no—
392#893—24no—
393#882—24no—
394#882—24no—
395D3×C22⋊C4—24no—
396D3×C22⋊C4—24no—
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#539—28no—
427C2×#127—31no—
428C2×#126C2×D311yescharacteristic
429C2×#126C2×D311yescharacteristic, complemented
430C2×#125C2×D311yescharacteristic, complemented
431C2×#125C2×D311yescharacteristic, complemented
432C2×#124—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123C2×D311yescharacteristic
436C2×#123C2×D311yescharacteristic
437C2×#123C2×D311yescharacteristic
438C2×#123C2×D311yescharacteristic, complemented
439C2×C22⋊Q8C2×D311yescharacteristic
440C2×C22⋊Q8C2×D311yescharacteristic, complemented
441C2×C22⋊Q8C2×D311yescharacteristic, complemented
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4C2×D311yescharacteristic
464C2×C4×D4C2×D311yescharacteristic, complemented
465C22×C4⋊C4C2×D311yescharacteristic, complemented
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#399—31no—
469#399—31no—
470#399—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
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#392—31no—
504#392—31no—
505#392—31no—
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#392—31no—
516#391—31no—
517#391—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#389—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#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387—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#386—31no—
561#386—31no—
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#381—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×Q8C2×D414yes—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
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—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4C2×D414yes—
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
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—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685#239—416no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—416no—
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×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
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×C4×D3—41no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4C2×D414yes—
738C3×C4⋊C4C2×D414yes—
739C3×C4⋊C4C2×D414yes—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4C2×D414yes—
749C3×C22⋊C4C2×D414yes—
750C3×C42—22no—
751C3×C42—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#217—41no—
761#217—41no—
762#217—41no—
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)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808Dic3⋊C4—22no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815C4×Dic3—22no—
816C4×Dic3—41no—
817C4×Dic3—41no—
818C4×Dic3—41no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8C22×D311yescharacteristic
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—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—64no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4C22×D311yescharacteristic
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861#127—122no—
862#126—24no—
863#126—24no—
864#125—24no—
865#125—24no—
866#124—64no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—64no—
872#123—64no—
873C22⋊Q8—24no—
874C22⋊Q8—24no—
875C22⋊Q8#6718yescomplemented
876#121—24no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—122no—
881#121—122no—
882#121—122no—
883#121—122no—
884#121—122no—
885#121—122no—
886#120—64no—
887#120—64no—
888#120—122no—
889#120—122no—
890#120—122no—
891#120—122no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—122no—
897C4×D4—122no—
898C4×D4—122no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
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—64no—
978C2×C22⋊C4—64no—
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C42—31no—
990C2×C42—31no—
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42C22×D311yescharacteristic
995C2×C42C22×D311yescharacteristic
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
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—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
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×C3C22×D412yes—
1042C23×C3H(5,𝔽2)12yes—
1043C23×C3C2511yescharacteristic
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
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—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3H(5,𝔽2)12yes—
1092C22×D3H(5,𝔽2)12yes—
1093C3×Q8—44no—
1094C3×D4—44no—
1095C3×D4—44no—
1096C3×D4—82no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
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—44no—
1128C2×C3×C4—44no—
1129C2×C3×C4—82no—
1130C2×C3×C4—82no—
1131C2×C3×C4—82no—
1132C2×C3×C4C22×D412yes—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4C22×D412yes—
1135C2×C3×C4C22×D412yes—
1136C2×C3×C4C22×D412yes—
1137C2×C3×C4C22×D412yes—
1138#67—44no—
1139#67—44no—
1140#67—44no—
1141#67—44no—
1142#67—82no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
1146#67—82no—
1147#67—82no—
1148#67—82no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
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—21no—
1182D12—28no—
1183D12—44no—
1184D12—44no—
1185D12—44no—
1186D12—44no—
1187D12—44no—
1188D12—82no—
1189D12—82no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—82no—
1194C4×D3—82no—
1195C24—31no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—62no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24C23×D311yescharacteristic
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217#41—1216no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8C2×#6714yes—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
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—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—1216no—
1265C2×D4—121no—
1266C2×D4—121no—
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—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
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—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4C2×#6714yes—
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—62no—
1353C4⋊C4—121no—
1354C4⋊C4—121no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4C2×#6714yes—
1366C4⋊C4C2×#6714yes—
1367C4⋊C4C2×#6714yes—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
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⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4C2×#6714yes—
1427C22⋊C4C2×#6714yes—
1428C42—22no—
1429C42—22no—
1430C42—62no—
1431C42—121no—
1432C42—121no—
1433C42—121no—
1434C42—121no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3C23×D411yescharacteristic
1457C22×C3C2×H(5,𝔽2)11yescharacteristic
1458C22×C3C2×H(5,𝔽2)11yescharacteristic
1459C22×C3C2×H(5,𝔽2)11yescharacteristic
1460C22×C3#58511yescharacteristic
1461C22×C3#58511yescharacteristic
1462C22×C3#58511yescharacteristic
1463C2×D3—22no—
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
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—88no—
1499C2×D3—88no—
1500C3×C4—22no—
1501C3×C4—22no—
1502C3×C4—22no—
1503C3×C4—22no—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—32no—
1543C23—32no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
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—124no—
1578C23—124no—
1579C23—124no—
1580C23—124no—
1581C23—242no—
1582C23—242no—
1583C23—242no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23#100912yes—
1592C23C22×#6712yes—
1593C23C24×D311yescharacteristic
1594Q8—44no—
1595D4—44no—
1596D4—44no—
1597D4—68no—
1598D4—82no—
1599D4—124no—
1600D4—124no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—124no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611D4—242no—
1612D4—242no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
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—44no—
1648C2×C4—44no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
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—82no—
1683C2×C4—82no—
1684C2×C4—82no—
1685C2×C4—124no—
1686C2×C4—124no—
1687C2×C4—124no—
1688C2×C4—242no—
1689C2×C4—242no—
1690C2×C4C22×#6712yes—
1691C2×C4C22×#6712yes—
1692C2×C4C22×#6712yes—
1693C2×C4C22×#6712yes—
1694C2×C4C22×#6712yes—
1695C2×C4C22×#6712yes—
1696C2×C3—42no—
1697C2×C3—42no—
1698C2×C3—81no—
1699C2×C3#348411yescharacteristic
1700C2×C3#348711yescharacteristic
1701C2×C3#348811yescharacteristic
1702C2×C3#353311yescharacteristic
1703C2×C3#353411yescharacteristic
1704C2×C3#353411yescharacteristic
1705C2×C3#356011yescharacteristic
1706D3—42no—
1707D3—42no—
1708D3—81no—
1709D3—81no—
1710D3—81no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—62no—
1733C22—62no—
1734C22—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
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—248no—
1768C22—248no—
1769C22C2×#100911yescharacteristic
1770C22#596411yescharacteristic
1771C22D3×H(5,𝔽2)11yescharacteristic
1772C22D3×H(5,𝔽2)11yescharacteristic
1773C22#596811yescharacteristic
1774C22#596811yescharacteristic
1775C22C23×#6711yescharacteristic
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—121no—
1789C4—121no—
1790C4—121no—
1791C4—121no—
1792C4—121no—
1793C4—121no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C3#4784011yescharacteristic, complemented, Sylow
1800C2—42no—
1801C2—42no—
1802C2—81no—
1803C2—122no—
1804C2—122no—
1805C2—241no—
1806C2—241no—
1807C2—241no—
1808C2#8645711yescharacteristic
1809C2#8645811yescharacteristic
1810C2#8645911yescharacteristic
1811C2#8646511yescharacteristic
1812C2#8727511yescharacteristic
1813C2#8728411yescharacteristic
1814C2#8729011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#539C2
hypercenterC2×#539D3
hypocenterC3#47840
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C3×#539C2semidirect
2. C2×#5630C2semidirect
3. #83117C2semidirect
4. #83114C2semidirect
5. #83094C2semidirect
6. #83081C2semidirect
7. #83070C2semidirect
8. #83070C2semidirect
9. #83059C2semidirect
10. #83047C2semidirect
11. #82907C2semidirect
12. #82907C2semidirect
13. #82906C2semidirect
14. #82904C2semidirect
15. #82903C2semidirect
16. #82899C2semidirect
17. #82896C2semidirect
18. #82896C2semidirect
19. #82812C2semidirect
20. #82812C2semidirect
21. #82806C2semidirect
22. #82806C2semidirect
23. #82750C2semidirect
24. #82714C2semidirect
25. #82707C2semidirect
26. #82419C2semidirect
27. #82411C2semidirect
28. #82409C2semidirect
29. #82403C2semidirect
30. #82195C2semidirect
31. #82193C2semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#125C22semidirect
39. C2×C3×#125C22semidirect
43. C2×C3×#123C22semidirect
45. C2×C3×C22⋊Q8C22semidirect
46. C2×C3×C22⋊Q8C22semidirect
49. C2×C3×C4×D4C22semidirect
50. C22×C3×C4⋊C4C22semidirect
52. C2×#940C22semidirect
53. C2×#938C22semidirect
60. C2×#930C22semidirect
61. C2×#930C22semidirect
62. C2×#930C22semidirect
64. C2×C4×#67C22semidirect
65. C2×C4×#67C22semidirect
66. C2×C4×#67C22semidirect
78. #5229C22semidirect
79. #5229C22semidirect
82. #5223C22semidirect
83. #5223C22semidirect
86. #5213C22semidirect
87. #5213C22semidirect
88. #5213C22semidirect
89. #5213C22semidirect
90. #5213C22semidirect
91. #5213C22semidirect
92. #5213C22semidirect
95. #5210C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
105. #4992C22semidirect
106. #4992C22semidirect
107. #4992C22semidirect
114. #4991C22semidirect
115. #4991C22semidirect
116. #4991C22semidirect
117. #4991C22semidirect
118. #4991C22semidirect
119. #4990C22semidirect
120. #4990C22semidirect
121. #4990C22semidirect
122. #4990C22semidirect
123. #4990C22semidirect
124. #4989C22semidirect
125. #4989C22semidirect
126. #4989C22semidirect
127. #4989C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
130. #4989C22semidirect
131. #4988C22semidirect
132. #4988C22semidirect
133. #4988C22semidirect
134. #4987C22semidirect
135. #4987C22semidirect
136. #4987C22semidirect
137. #4984C22semidirect
138. #4984C22semidirect
139. #4982C22semidirect
140. #4980C22semidirect
141. #4980C22semidirect
142. #4980C22semidirect
143. #4980C22semidirect
144. #4978C22semidirect
145. #4978C22semidirect
146. #4961C22semidirect
147. #4961C22semidirect
148. #4961C22semidirect
149. #4961C22semidirect
156. #4960C22semidirect
157. #4960C22semidirect
158. #4960C22semidirect
161. #4957C22semidirect
162. #4957C22semidirect
163. #4957C22semidirect
164. #4956C22semidirect
165. #4956C22semidirect
166. #4956C22semidirect
167. #4956C22semidirect
168. #4956C22semidirect
179. #4948C22semidirect
180. #4944C22semidirect
181. #4944C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4940C22semidirect
187. #4939C22semidirect
188. C4×(C2×D3)⋊C4C22semidirect
189. #4933C22semidirect
191. C2×#539D3semidirect
272. C3×C22⋊Q8D4semidirect
429. C2×#126C2×D3semidirect
430. C2×#125C2×D3semidirect
431. C2×#125C2×D3semidirect
438. C2×#123C2×D3semidirect
440. C2×C22⋊Q8C2×D3semidirect
441. C2×C22⋊Q8C2×D3semidirect
464. C2×C4×D4C2×D3semidirect
465. C22×C4⋊C4C2×D3semidirect
875. C22⋊Q8#67semidirect
1799. C3#47840semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5392
C2×#56302
#831172
#831142
#830942
#830812
#830702
#830592
#830472
#829072
#829062
#829042
#829032
#828992
#828962
#828122
#828062
#827502
#827142
#827072
#824192
#824112
#824092
#824032
#821952
#821932
#478403