Finite Group Databasebeta

← #11070054

Subgroups — #11070054

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#538C211yesmaximal, characteristic, complemented
2C2×#5657C211yesmaximal, characteristic, complemented
3#83114C211yesmaximal, characteristic, complemented
4#83106C211yesmaximal, characteristic, complemented
5#83084C211yesmaximal, characteristic, complemented
6#83083C211yesmaximal, characteristic, complemented
7#82983C211yesmaximal, characteristic, complemented
8#82967C211yesmaximal, characteristic, complemented
9#82967C211yesmaximal, characteristic, complemented
10#82965C211yesmaximal, characteristic, complemented
11#82878C211yesmaximal, characteristic, complemented
12#82849C211yesmaximal, characteristic, complemented
13Dic3×#123C211yesmaximal, characteristic, complemented
14#82798C211yesmaximal, characteristic, complemented
15#82780C211yesmaximal, characteristic, complemented
16#82713C211yesmaximal, characteristic, complemented
17#82711C211yesmaximal, characteristic, complemented
18#82700C211yesmaximal, characteristic, complemented
19#82684C211yesmaximal, characteristic, complemented
20#82667C211yesmaximal, characteristic, complemented
21#82650C211yesmaximal, characteristic, complemented
22#82608C211yesmaximal, characteristic, complemented
23#82599C211yesmaximal, characteristic, complemented
24#82588C211yesmaximal, characteristic, complemented
25#82582C211yesmaximal, characteristic, complemented
26#82422C211yesmaximal, characteristic, complemented
27#82370C211yesmaximal, characteristic, complemented
28#82343C211yesmaximal, characteristic, complemented
29C4×#939C211yesmaximal, characteristic, complemented
30C22⋊C4×#67C211yesmaximal, characteristic, complemented
31#82111C211yesmaximal, characteristic, complemented
32#39401—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C3×#538—28no—
35C2×C3×#126C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic
38C2×C3×#124C2211yescharacteristic, complemented
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×C22⋊Q8C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic, complemented
44C2×C3×#121C2211yescharacteristic, complemented
45C2×C3×#120C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C2×C3×C4×D4C2211yescharacteristic, complemented
49C22×C3×C22⋊C4C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C2×#946C2211yescharacteristic, complemented
52C2×#944C2211yescharacteristic, complemented
53C2×#940C2211yescharacteristic
54C2×#940C2211yescharacteristic
55C2×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic, complemented
59C2×#939C2211yescharacteristic, complemented
60C2×#939C2211yescharacteristic, complemented
61C2×#938C2211yescharacteristic
62C2×#937C2211yescharacteristic
63C2×#937C2211yescharacteristic
64C2×D4×Dic3C2211yescharacteristic
65C2×#930C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic
68C2×C4×#67C2211yescharacteristic, complemented
69C2×C4×#67C2211yescharacteristic, complemented
70C2×#924C2211yescharacteristic, complemented
71C22×C4×Dic3C2211yescharacteristic, complemented
72#5657—28no—
73C2×#898C2211yescharacteristic, complemented
74C2×#897C2211yescharacteristic, complemented
75C2×#894C2211yescharacteristic, complemented
76C2×#893C2211yescharacteristic, complemented
77C2×#885C2211yescharacteristic
78C2×#885C2211yescharacteristic, complemented
79C2×#884C2211yescharacteristic, complemented
80C2×#882C2211yescharacteristic
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×#879C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5231C2211yescharacteristic, complemented
86#5231C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5222C2211yescharacteristic, complemented
98#5222C2211yescharacteristic, complemented
99#5221C2211yescharacteristic, complemented
100#5221C2211yescharacteristic, complemented
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5213C2211yescharacteristic, complemented
109#5212C2211yescharacteristic, complemented
110#5211C2211yescharacteristic, complemented
111C4×#217C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4993C2211yescharacteristic, complemented
114#4993C2211yescharacteristic, complemented
115#4992C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4988C2211yescharacteristic, complemented
120#4987C2211yescharacteristic, complemented
121#4986C2211yescharacteristic, complemented
122#4985C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4980C2211yescharacteristic, complemented
125#4978C2211yescharacteristic, complemented
126#4976C2211yescharacteristic, complemented
127#4976C2211yescharacteristic, complemented
128#4975C2211yescharacteristic, complemented
129#4975C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131Dic3×C4⋊C4C2211yescharacteristic, complemented
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic, complemented
135#4961C2211yescharacteristic, complemented
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic, complemented
156#4956C2211yescharacteristic, complemented
157#4956C2211yescharacteristic, complemented
158#4956C2211yescharacteristic, complemented
159#4955C2211yescharacteristic
160#4955C2211yescharacteristic
161#4953C2211yescharacteristic, complemented
162#4952C2211yescharacteristic
163#4952C2211yescharacteristic
164#4951C2211yescharacteristic
165#4951C2211yescharacteristic
166#4950C2211yescharacteristic, complemented
167#4949C2211yescharacteristic, complemented
168#4949C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4947C2211yescharacteristic, complemented
171#4947C2211yescharacteristic, complemented
172#4945C2211yescharacteristic, complemented
173#4944C2211yescharacteristic, complemented
174#4944C2211yescharacteristic, complemented
175#4944C2211yescharacteristic, complemented
176#4942C2211yescharacteristic
177#4942C2211yescharacteristic
178#4942C2211yescharacteristic, complemented
179Dic3×C22⋊C4C2211yescharacteristic
180Dic3×C22⋊C4C2211yescharacteristic
181Dic3×C22⋊C4C2211yescharacteristic, complemented
182#4940C2211yescharacteristic, complemented
183#4940C2211yescharacteristic, complemented
184#4940C2211yescharacteristic, complemented
185#4939C2211yescharacteristic, complemented
186C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189C4×Dic3⋊C4C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538D311yescharacteristic, complemented
192#2856—31no—
193#2696—31no—
194#2696—31no—
195#2685—31no—
196#2685—31no—
197#2676—31no—
198#2676—31no—
199#2668—31no—
200#2668—31no—
201#2635—31no—
202#2635—31no—
203#2542—31no—
204#2537—31no—
205#2512—31no—
206#2496—31no—
207#2491—31no—
208#2491—31no—
209#2472—31no—
210#2472—31no—
211#2467—31no—
212#2467—31no—
213#2445—31no—
214#2433—31no—
215#2428—31no—
216#2408—31no—
217#2366—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220C4×#121—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67—24no—
236C22×#67—42no—
237C22×#67—42no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C3×#126—24no—
261C3×#126—24no—
262C3×#124—24no—
263C3×#124—24no—
264C3×#123—24no—
265C3×#123D418yescomplemented
266C3×C22⋊Q8—24no—
267C3×#121—24no—
268C3×#121—24no—
269C3×#121—24no—
270C3×#120—24no—
271C3×#120—24no—
272C3×C4×D4—24no—
273C3×C4×D4—24no—
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×C22⋊C4—24no—
281C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297#953—42no—
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321#946—42no—
322#944—42no—
323#940—24no—
324#940—42no—
325#939—24no—
326#939—42no—
327#939—42no—
328#939—42no—
329#939—42no—
330#939—42no—
331#938—24no—
332#937—24no—
333#937—42no—
334D4×Dic3—42no—
335#930—24no—
336C4×#67—24no—
337C4×#67—42no—
338C4×#67—42no—
339C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368#924—42no—
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3—42no—
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392#898—24no—
393#897—24no—
394#894—24no—
395#893—24no—
396#885—24no—
397#885—24no—
398#884—24no—
399#882—24no—
400D3×C22⋊C4—24no—
401#879—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427#538—28no—
428#538—68no—
429C2×C4⋊Q8—31no—
430C2×#127—31no—
431C2×#127—31no—
432C2×#126—31no—
433C2×#126—31no—
434C2×#126C2×D311yescharacteristic
435C2×#126C2×D311yescharacteristic, complemented
436C2×#124—31no—
437C2×#124—31no—
438C2×#124C2×D311yescharacteristic
439C2×#124C2×D311yescharacteristic, complemented
440C2×#123—31no—
441C2×#123C2×D311yescharacteristic
442C2×#123C2×D311yescharacteristic, complemented
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121C2×D311yescharacteristic
457C2×#121C2×D311yescharacteristic, complemented
458C2×#121C2×D311yescharacteristic, complemented
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120C2×D311yescharacteristic
464C2×#120C2×D311yescharacteristic
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×D4C2×D311yescharacteristic, complemented
472C2×C4×D4C2×D311yescharacteristic, complemented
473C22×C22⋊C4—31no—
474C22×C22⋊C4C2×D311yescharacteristic
475C22×C42—31no—
476#400—31no—
477#400—31no—
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—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#394—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393—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#390—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#389—31no—
531#389—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#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#385—31no—
562#384—31no—
563#384—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—22no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4C2×D414yes—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4C2×D414yescomplemented
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—416no—
690C2×#67#4114yes—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×Dic6—22no—
729C2×Dic6—41no—
730C2×Dic6—41no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4C2×D414yescomplemented
736C3×C4⋊C4C2×D414yescomplemented
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
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×C22⋊C4C2×D414yescomplemented
751C3×C42—22no—
752C3×C42—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772#217—41no—
773#217—41no—
774#217—41no—
775#217—41no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
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—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
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—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
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—
827C25C22×D311yescharacteristic
828C22×Q8—31no—
829C22×Q8C22×D311yescharacteristic
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
851C22×D4C22×D311yescharacteristic
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4C22×D311yescharacteristic
862C23×C4C22×D311yescharacteristic
863C23×C4C22×D311yescharacteristic
864C23×C4C22×D311yescharacteristic
865C4⋊Q8—122no—
866#127—64no—
867#127—122no—
868#126—24no—
869#126—24no—
870#126—64no—
871#126—64no—
872#124—24no—
873#124—24no—
874#124—64no—
875#124—64no—
876#123—24no—
877#123—64no—
878#123#6718yescomplemented
879C22⋊Q8—24no—
880C22⋊Q8—64no—
881C22⋊Q8—122no—
882C22⋊Q8—122no—
883#121—24no—
884#121—24no—
885#121—24no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—122no—
891#121—122no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—24no—
896#120—24no—
897#120—64no—
898#120—64no—
899#120—122no—
900#120—122no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C4×D4—122no—
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⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C22⋊C4—24no—
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—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—122no—
1005C2×C42C22×D311yescharacteristic
1006C2×C42C22×D311yescharacteristic
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—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
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×C3—21no—
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—44no—
1064C23×C3—44no—
1065C23×C3—82no—
1066C23×C3—82no—
1067C23×C3—82no—
1068C23×C3—82no—
1069C23×C3—82no—
1070C23×C3C22×D412yes—
1071C23×C3C22×D412yes—
1072C23×C3C2×#4112yes—
1073C23×C3C2511yescharacteristic
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—44no—
1095C22×D3—44no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3C2×#4112yes—
1102C3×Q8—82no—
1103C3×D4—44no—
1104C3×D4—44no—
1105C3×D4—44no—
1106C3×D4—82no—
1107C3×D4—82no—
1108C3×D4—82no—
1109C3×D4—82no—
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—44no—
1136C2×C3×C4—82no—
1137C2×C3×C4—82no—
1138C2×C3×C4—82no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143C2×C3×C4C22×D412yes—
1144#67—28no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156#67—82no—
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—
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—44no—
1193C2×Dic3—44no—
1194C2×Dic3—44no—
1195C2×Dic3C2×#4112yes—
1196C2×Dic3H(5,𝔽2)12yes—
1197C2×Dic3H(5,𝔽2)12yes—
1198C2×Dic3H(5,𝔽2)12yes—
1199D12—44no—
1200D12—82no—
1201C4×D3—82no—
1202C4×D3—82no—
1203C4×D3—82no—
1204Dic6—82no—
1205C24—22no—
1206C24—22no—
1207C24—31no—
1208C24—31no—
1209C24—31no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—62no—
1216C24—62no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—22no—
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—62no—
1231C2×Q8—121no—
1232C2×Q8—121no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—34no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
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—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
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—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—1216no—
1299C2×D4C2×#6714yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4C2×#6714yescomplemented
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
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—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4C2×#6714yescomplemented
1376C4⋊C4C2×#6714yescomplemented
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
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—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⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4C2×#6714yes—
1435C22⋊C4C2×#6714yes—
1436C22⋊C4C2×#6714yescomplemented
1437C42—22no—
1438C42—22no—
1439C42—62no—
1440C42—62no—
1441C42—62no—
1442C42—62no—
1443C42—62no—
1444C42—62no—
1445C42—62no—
1446C42—121no—
1447C42—121no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
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×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—88no—
1484C22×C3C23×D411yescharacteristic
1485C22×C3C22×#4111yescharacteristic
1486C22×C3C2×H(5,𝔽2)11yescharacteristic
1487C22×C3C2×H(5,𝔽2)11yescharacteristic
1488C22×C3C2×H(5,𝔽2)11yescharacteristic
1489C22×C3#58511yescharacteristic
1490C22×C3#58511yescharacteristic
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
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—41no—
1511C2×D3—41no—
1512C2×D3—88no—
1513C3×C4—22no—
1514C3×C4—22no—
1515C3×C4—22no—
1516C3×C4—22no—
1517C3×C4—22no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522C3×C4—41no—
1523Dic3—22no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3#53814yescomplemented
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—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—32no—
1569C23—44no—
1570C23—44no—
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—61no—
1591C23—82no—
1592C23—82no—
1593C23—82no—
1594C23—82no—
1595C23—82no—
1596C23—124no—
1597C23—124no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23D3×#4112yes—
1604C23C22×#6712yes—
1605C23C22×#6712yes—
1606C23C24×D311yescharacteristic
1607Q8—82no—
1608Q8—242no—
1609D4—44no—
1610D4—44no—
1611D4—44no—
1612D4—68no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
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—32no—
1657C2×C4—32no—
1658C2×C4—32no—
1659C2×C4—32no—
1660C2×C4—44no—
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—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—61no—
1696C2×C4—82no—
1697C2×C4—82no—
1698C2×C4—82no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—242no—
1703C2×C4—242no—
1704C2×C4—242no—
1705C2×C4C22×#6712yes—
1706C2×C4C22×#6712yes—
1707C2×C4C22×#6712yes—
1708C2×C4C22×#6712yes—
1709C2×C4C22×#6712yes—
1710C2×C3—42no—
1711C2×C3—42no—
1712C2×C3—42no—
1713C2×C3—81no—
1714C2×C3—81no—
1715C2×C3C2×#53811yescharacteristic
1716C2×C3D4×#4111yescharacteristic
1717C2×C3#349611yescharacteristic
1718C2×C3#349811yescharacteristic
1719C2×C3#351411yescharacteristic
1720C2×C3#354211yescharacteristic
1721C2×C3#356211yescharacteristic
1722D3—42no—
1723D3—81no—
1724D3—81no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—88no—
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—121no—
1780C22—121no—
1781C22—121no—
1782C22—248no—
1783C22C2×D3×#4111yescharacteristic
1784C22#596411yescharacteristic
1785C22D3×H(5,𝔽2)11yescharacteristic
1786C22D3×H(5,𝔽2)11yescharacteristic
1787C22D3×H(5,𝔽2)11yescharacteristic
1788C22#596611yescharacteristic
1789C22C23×#6711yescharacteristic
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—22no—
1795C4—34no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—62no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C3#3940111yescharacteristic, complemented, Sylow
1814C2—42no—
1815C2—42no—
1816C2—42no—
1817C2—81no—
1818C2—81no—
1819C2—122no—
1820C2—241no—
1821C2—241no—
1822C2#8639211yescharacteristic
1823C2#8640011yescharacteristic
1824C2#8640711yescharacteristic
1825C2D3×#53811yescharacteristic
1826C2#41×#6711yescharacteristic
1827C2#8728111yescharacteristic
1828C2#8728211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#538C2
hypercenterC2×#538D3
hypocenterC3#39401
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C3×#538C2semidirect
2. C2×#5657C2semidirect
3. #83114C2semidirect
4. #83106C2semidirect
5. #83084C2semidirect
6. #83083C2semidirect
7. #82983C2semidirect
8. #82967C2semidirect
9. #82967C2semidirect
10. #82965C2semidirect
11. #82878C2semidirect
12. #82849C2semidirect
13. Dic3×#123C2semidirect
14. #82798C2semidirect
15. #82780C2semidirect
16. #82713C2semidirect
17. #82711C2semidirect
18. #82700C2semidirect
19. #82684C2semidirect
20. #82667C2semidirect
21. #82650C2semidirect
22. #82608C2semidirect
23. #82599C2semidirect
24. #82588C2semidirect
25. #82582C2semidirect
26. #82422C2semidirect
27. #82370C2semidirect
28. #82343C2semidirect
29. C4×#939C2semidirect
30. C22⋊C4×#67C2semidirect
31. #82111C2semidirect
36. C2×C3×#126C22semidirect
38. C2×C3×#124C22semidirect
40. C2×C3×#123C22semidirect
41. C2×C3×C22⋊Q8C22semidirect
43. C2×C3×#121C22semidirect
44. C2×C3×#121C22semidirect
47. C2×C3×C4×D4C22semidirect
48. C2×C3×C4×D4C22semidirect
51. C2×#946C22semidirect
52. C2×#944C22semidirect
58. C2×#939C22semidirect
59. C2×#939C22semidirect
60. C2×#939C22semidirect
65. C2×#930C22semidirect
68. C2×C4×#67C22semidirect
69. C2×C4×#67C22semidirect
70. C2×#924C22semidirect
71. C22×C4×Dic3C22semidirect
73. C2×#898C22semidirect
74. C2×#897C22semidirect
75. C2×#894C22semidirect
76. C2×#893C22semidirect
78. C2×#885C22semidirect
79. C2×#884C22semidirect
85. #5231C22semidirect
86. #5231C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
95. #5222C22semidirect
96. #5222C22semidirect
97. #5222C22semidirect
98. #5222C22semidirect
99. #5221C22semidirect
100. #5221C22semidirect
102. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5213C22semidirect
109. #5212C22semidirect
110. #5211C22semidirect
111. C4×#217C22semidirect
112. #4994C22semidirect
113. #4993C22semidirect
114. #4993C22semidirect
115. #4992C22semidirect
116. #4991C22semidirect
117. #4991C22semidirect
118. #4990C22semidirect
119. #4988C22semidirect
120. #4987C22semidirect
121. #4986C22semidirect
122. #4985C22semidirect
123. #4980C22semidirect
124. #4980C22semidirect
125. #4978C22semidirect
126. #4976C22semidirect
127. #4976C22semidirect
128. #4975C22semidirect
129. #4975C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. Dic3×C4⋊C4C22semidirect
134. #4961C22semidirect
135. #4961C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4958C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
155. #4956C22semidirect
156. #4956C22semidirect
157. #4956C22semidirect
158. #4956C22semidirect
161. #4953C22semidirect
166. #4950C22semidirect
167. #4949C22semidirect
168. #4949C22semidirect
169. #4948C22semidirect
170. #4947C22semidirect
171. #4947C22semidirect
172. #4945C22semidirect
173. #4944C22semidirect
174. #4944C22semidirect
175. #4944C22semidirect
178. #4942C22semidirect
181. Dic3×C22⋊C4C22semidirect
182. #4940C22semidirect
183. #4940C22semidirect
184. #4940C22semidirect
185. #4939C22semidirect
186. C4×(C2×D3)⋊C4C22semidirect
187. #4933C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. C4×Dic3⋊C4C22semidirect
191. C2×#538D3semidirect
265. C3×#123D4semidirect
435. C2×#126C2×D3semidirect
439. C2×#124C2×D3semidirect
442. C2×#123C2×D3semidirect
446. C2×C22⋊Q8C2×D3semidirect
457. C2×#121C2×D3semidirect
458. C2×#121C2×D3semidirect
471. C2×C4×D4C2×D3semidirect
472. C2×C4×D4C2×D3semidirect
640. C22×C3×C4C2×D4semidirect
735. C3×C4⋊C4C2×D4semidirect
736. C3×C4⋊C4C2×D4semidirect
750. C3×C22⋊C4C2×D4semidirect
878. #123#67semidirect
1342. C22×C4C2×#67semidirect
1375. C4⋊C4C2×#67semidirect
1376. C4⋊C4C2×#67semidirect
1436. C22⋊C4C2×#67semidirect
1535. Dic3#538semidirect
1813. C3#39401semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5382
C2×#56572
#831142
#831062
#830842
#830832
#829832
#829672
#829652
#828782
#828492
Dic3×#1232
#827982
#827802
#827132
#827112
#827002
#826842
#826672
#826502
#826082
#825992
#825882
#825822
#824222
#823702
#823432
C4×#9392
C22⋊C4×#672
#821112
#394013