Finite Group Databasebeta

← #10983110

Subgroups — #10983110

Order 768.

2704 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5679C211yesmaximal, characteristic, complemented
2C2×#5676C211yesmaximal, characteristic, complemented
3C3×#2491C211yesmaximal, characteristic, complemented
4#83255C211yesmaximal, characteristic, complemented
5#83233C211yesmaximal, characteristic, complemented
6#82975C211yesmaximal, characteristic, complemented
7#82968C211yesmaximal, characteristic, complemented
8#82702C211yesmaximal, characteristic, complemented
9#82658C211yesmaximal, characteristic, complemented
10#77123C211yesmaximal, characteristic, complemented
11D3×#394C211yesmaximal, characteristic, complemented
12#76953C211yesmaximal, characteristic, complemented
13#76900C211yesmaximal, characteristic, complemented
14#76867C211yesmaximal, characteristic, complemented
15#76820C211yesmaximal, characteristic, complemented
16#76790C211yesmaximal, characteristic, complemented
17#76777C211yesmaximal, characteristic, complemented
18#76460C211yesmaximal, characteristic, complemented
19#76454C211yesmaximal, characteristic, complemented
20#76432C211yesmaximal, characteristic, complemented
21#76370C211yesmaximal, characteristic, complemented
22#75898C211yesmaximal, characteristic, complemented
23#75832C211yesmaximal, characteristic, complemented
24#75551C211yesmaximal, characteristic, complemented
25#75477C211yesmaximal, characteristic, complemented
26#74018C211yesmaximal, characteristic, complemented
27#73939C211yesmaximal, characteristic, complemented
28#73777C211yesmaximal, characteristic, complemented
29#73772C211yesmaximal, characteristic, complemented
30#73604C211yesmaximal, characteristic, complemented
31#73560C211yesmaximal, characteristic, complemented
32#35764—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C2×C3×C4⋊Q8C2211yescharacteristic, complemented
36C2×C3×#124C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×#947C2211yescharacteristic, complemented
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#935C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5679—28no—
50#5676—28no—
51C2×#894C2211yescharacteristic
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic, complemented
60C2×#882C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic, complemented
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#879C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C2×#872C2211yescharacteristic
77C2×#872C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic, complemented
82C3×#390C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#380C2211yescharacteristic, complemented
87C3×C4×C4⋊C4C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5230C2211yescharacteristic, complemented
91#5229C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5222C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic, complemented
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4993C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4987C2211yescharacteristic
114#4984C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4975C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4958C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4952C2211yescharacteristic, complemented
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4944C2211yescharacteristic, complemented
151#4942C2211yescharacteristic, complemented
152Dic3×C22⋊C4C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4940C2211yescharacteristic, complemented
156#4939C2211yescharacteristic, complemented
157C4×(C2×D3)⋊C4C2211yescharacteristic
158C4×(C2×D3)⋊C4C2211yescharacteristic
159C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4672C2211yescharacteristic
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4670C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4664C2211yescharacteristic
184D3×#95C2211yescharacteristic
185#4660C2211yescharacteristic, complemented
186#4659C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#546—31no—
192#2663—31no—
193#2661—31no—
194#2617—31no—
195#2602—31no—
196#2602—31no—
197#2559—31no—
198#2559—31no—
199#2555—31no—
200#2553—31no—
201#2539—31no—
202#2521—31no—
203#2500—31no—
204#2491D311yescharacteristic, complemented
205#2488—31no—
206#2472—31no—
207#2464—31no—
208#2440—31no—
209#2432—31no—
210#2422—31no—
211#2412—31no—
212#2410—31no—
213#2395—31no—
214#2388—31no—
215C2×#394—31no—
216#2361—31no—
217#2359—31no—
218#2358—31no—
219#2342—31no—
220#2273—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#239—24no—
240C2×#239—42no—
241C2×#239—42no—
242C2×D3×D4—24no—
243C2×D3×D4—42no—
244C2×D3×D4—42no—
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C3×C4⋊Q8—42no—
260C3×#124—24no—
261C3×#124—24no—
262C3×#121—42no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#947—42no—
299#946—24no—
300#946—24no—
301#946—24no—
302#939—42no—
303#938—24no—
304#937—24no—
305#937—24no—
306#935—24no—
307C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366#894—24no—
367D3×C4⋊C4—42no—
368#884—24no—
369#884—24no—
370#884—24no—
371#883—24no—
372#883—24no—
373#883—24no—
374#883—24no—
375#882—24no—
376#882—24no—
377#67⋊C4—24no—
378#67⋊C4—24no—
379#67⋊C4—42no—
380#67⋊C4—42no—
381D3×C22⋊C4—24no—
382D3×C22⋊C4—24no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385D3×C22⋊C4—42no—
386D3×C22⋊C4D418yescomplemented
387#879—24no—
388#879—24no—
389C4×D12—24no—
390C4×D12—24no—
391#872—24no—
392#872—24no—
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
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#551—68no—
426#546—68no—
427C2×C4⋊Q8C2×D311yescharacteristic, complemented
428C2×#126—31no—
429C2×#126—31no—
430C2×#124—31no—
431C2×#124C2×D311yescharacteristic
432C2×#124C2×D311yescharacteristic, complemented
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121C2×D311yescharacteristic
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×#117—31no—
459C2×#117—31no—
460C22×C4⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#395—31no—
481#395—31no—
482#394—31no—
483#394—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#394C2×D311yescharacteristic
499#394C2×D311yescharacteristic, complemented
500#393C2×D311yescharacteristic, complemented
501#393C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390C2×D311yescharacteristic, complemented
515#390C2×D311yescharacteristic, complemented
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388C2×D311yescharacteristic, complemented
533#388C2×D311yescharacteristic, complemented
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#384—31no—
555#382—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380C2×D311yescharacteristic, complemented
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2×D414yes—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×Q8—22no—
602C2×C3×Q8—22no—
603C2×C3×Q8—22no—
604C2×C3×Q8—41no—
605C2×C3×Q8—41no—
606C2×C3×Q8—41no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C22×C3×C4—22no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
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—22no—
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—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673#239—416no—
674D3×D4—416no—
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—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3C2×D414yes—
715C2×C4×D3C2×D414yes—
716C2×C4×D3#4114yescomplemented
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4—22no—
720C3×C4⋊C4—41no—
721C3×C4⋊C4—41no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4C2×D414yes—
736C3×C42—22no—
737C3×C42—22no—
738C3×C42—41no—
739C3×C42—41no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217C2×D414yes—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4C2×D414yes—
780(C2×D3)⋊C4C2×D414yes—
781(C2×D3)⋊C4#4114yescomplemented
782C4⋊Dic3—22no—
783C4⋊Dic3—22no—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—41no—
787C4⋊Dic3—41no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802C4×Dic3—22no—
803C4×Dic3—22no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C4×Dic3—41no—
807C4×Dic3—41no—
808C4×Dic3—41no—
809C4×Dic3—41no—
810C25—31no—
811C25—31no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C22×Q8C22×D311yescharacteristic
816C22×Q8C22×D311yescharacteristic
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—64no—
830C22×D4—122no—
831C22×D4—122no—
832C22×D4C22×D311yescharacteristic
833C22×D4C22×D311yescharacteristic
834C22×D4C22×D311yescharacteristic
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4C22×D311yescharacteristic
848C4⋊Q8—42no—
849#126—64no—
850#126—64no—
851#124—24no—
852#124—24no—
853#124—122no—
854#123—64no—
855#123—64no—
856#123—64no—
857#123—64no—
858#123—64no—
859#123—64no—
860C22⋊Q8—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863#121—42no—
864#121—64no—
865#121—64no—
866#121—64no—
867#121—64no—
868#121—122no—
869#120—64no—
870#120—64no—
871#120—64no—
872#120—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C4×D4—122no—
879#117—64no—
880#117—64no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—122no—
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—38no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
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—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—64no—
953C2×C22⋊C4—64no—
954C2×C22⋊C4—64no—
955C2×C22⋊C4—122no—
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42—31no—
978C2×C42C22×D311yescharacteristic
979C2×C42C22×D311yescharacteristic
980C2×C42C22×D311yescharacteristic
981C2×C42C22×D311yescharacteristic
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
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#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
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×C3C22×D412yes—
1033C23×C3C2511yescharacteristic
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—28no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—44no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3—82no—
1067C22×D3—82no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3H(5,𝔽2)12yes—
1076C3×Q8—44no—
1077C3×Q8—82no—
1078C3×D4—44no—
1079C3×D4—82no—
1080C3×D4—82no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
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—82no—
1113C2×C3×C4C22×D412yes—
1114C2×C3×C4C22×D412yes—
1115C2×C3×C4C2×#4112yes—
1116C2×C3×C4C2×#4112yes—
1117C2×C3×C4H(5,𝔽2)12yes—
1118#67—44no—
1119#67—44no—
1120#67—44no—
1121#67—44no—
1122#67—44no—
1123#67—44no—
1124#67—82no—
1125#67—82no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
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—82no—
1159C2×Dic3—82no—
1160C2×Dic3C22×D412yes—
1161C2×Dic3C22×D412yes—
1162C2×Dic3C2×#4112yes—
1163C2×Dic3C2×#4112yes—
1164D12—28no—
1165D12—44no—
1166D12—44no—
1167D12—44no—
1168C4×D3—44no—
1169C4×D3—44no—
1170C4×D3—44no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—82no—
1176C4×D3—82no—
1177C4×D3—82no—
1178C24—31no—
1179C24—31no—
1180C24—31no—
1181C24—34no—
1182C24—31no—
1183C24—62no—
1184C24—62no—
1185C24—62no—
1186C24—62no—
1187C24—62no—
1188C24—62no—
1189C24—121no—
1190C24—121no—
1191C24—121no—
1192C24—121no—
1193C24—121no—
1194C24—121no—
1195C24—121no—
1196C24C23×D311yescharacteristic
1197C24C23×D311yescharacteristic
1198C24C23×D311yescharacteristic
1199#41—1216no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—41no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—1216no—
1252C22×C4—22no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—34no—
1258C22×C4—34no—
1259C22×C4—34no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—121no—
1285C22×C4—121no—
1286C22×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4C23×D311yescharacteristic
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—34no—
1351C22⋊C4—34no—
1352C22⋊C4—34no—
1353C22⋊C4—34no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
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—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
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⋊C4D3×D414yes—
1396C42—22no—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—62no—
1401C42—62no—
1402C42—121no—
1403C42—121no—
1404C42—121no—
1405C42—121no—
1406C42—121no—
1407C42—121no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3C23×D411yescharacteristic
1430C22×C3C22×#4111yescharacteristic
1431C22×C3C22×#4111yescharacteristic
1432C22×C3C2×H(5,𝔽2)11yescharacteristic
1433C22×C3C2×H(5,𝔽2)11yescharacteristic
1434C22×C3#58511yescharacteristic
1435C22×C3#58511yescharacteristic
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—41no—
1463C2×D3—88no—
1464C2×D3—88no—
1465C2×D3#53214yes—
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—22no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478Dic3—22no—
1479Dic3—22no—
1480Dic3—22no—
1481Dic3—22no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—32no—
1511C23—32no—
1512C23—32no—
1513C23—32no—
1514C23—32no—
1515C23—68no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—124no—
1540C23—124no—
1541C23—124no—
1542C23—124no—
1543C23—124no—
1544C23—124no—
1545C23—242no—
1546C23—242no—
1547C23—242no—
1548C23—242no—
1549C23—242no—
1550C23—242no—
1551C23—242no—
1552C23C2×D3×D412yes—
1553C23C24×D311yescharacteristic
1554Q8—44no—
1555Q8—82no—
1556D4—44no—
1557D4—68no—
1558D4—82no—
1559D4—82no—
1560D4—124no—
1561D4—124no—
1562D4—124no—
1563D4—124no—
1564D4—124no—
1565D4—124no—
1566D4—124no—
1567D4—124no—
1568D4—124no—
1569D4—242no—
1570D4—242no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—32no—
1603C2×C4—32no—
1604C2×C4—32no—
1605C2×C4—32no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—82no—
1639C2×C4—124no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—124no—
1644C2×C4—124no—
1645C2×C4—124no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4—242no—
1649C2×C4—242no—
1650C2×C4—242no—
1651C2×C4C2×D3×D412yes—
1652C2×C4C2×D3×D412yes—
1653C2×C4#100412yes—
1654C2×C4D3×#4112yes—
1655C2×C4D3×#4112yes—
1656C2×C3—42no—
1657C2×C3—81no—
1658C2×C3—81no—
1659C2×C3C2×#53211yescharacteristic
1660C2×C3#348411yescharacteristic
1661C2×C3#348511yescharacteristic
1662C2×C3#349411yescharacteristic
1663C2×C3#350511yescharacteristic
1664C2×C3#351311yescharacteristic
1665C2×C3#351411yescharacteristic
1666D3—24no—
1667D3—42no—
1668D3—42no—
1669D3—81no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—34no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—62no—
1696C22—62no—
1697C22—62no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—62no—
1702C22—62no—
1703C22—62no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—248no—
1720C22—248no—
1721C22C22×D3×D411yescharacteristic
1722C22C2×#100411yescharacteristic
1723C22C2×D3×#4111yescharacteristic
1724C22C2×D3×#4111yescharacteristic
1725C22#596411yescharacteristic
1726C22D3×H(5,𝔽2)11yescharacteristic
1727C22#596811yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—62no—
1741C4—62no—
1742C4—62no—
1743C4—62no—
1744C4—121no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C4—121no—
1749C4—121no—
1750C4—121no—
1751C4—121no—
1752C3#3576411yescharacteristic, complemented, Sylow
1753C2—42no—
1754C2—64no—
1755C2—81no—
1756C2—81no—
1757C2—122no—
1758C2—122no—
1759C2—241no—
1760C2#8607711yescharacteristic
1761C2D3×#53211yescharacteristic
1762C2#8655311yescharacteristic
1763C2#8662011yescharacteristic
1764C2#8670011yescharacteristic
1765C2#8673811yescharacteristic
1766C2#8696011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2491C2
hypercenter#2491D3
hypocenterC3#35764
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2491

Complements

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

NH ≅ G/Ntype
1. C2×#5679C2semidirect
2. C2×#5676C2semidirect
3. C3×#2491C2semidirect
4. #83255C2semidirect
5. #83233C2semidirect
6. #82975C2semidirect
7. #82968C2semidirect
8. #82702C2semidirect
9. #82658C2semidirect
10. #77123C2semidirect
11. D3×#394C2semidirect
12. #76953C2semidirect
13. #76900C2semidirect
14. #76867C2semidirect
15. #76820C2semidirect
16. #76790C2semidirect
17. #76777C2semidirect
18. #76460C2semidirect
19. #76454C2semidirect
20. #76432C2semidirect
21. #76370C2semidirect
22. #75898C2semidirect
23. #75832C2semidirect
24. #75551C2semidirect
25. #75477C2semidirect
26. #74018C2semidirect
27. #73939C2semidirect
28. #73777C2semidirect
29. #73772C2semidirect
30. #73604C2semidirect
31. #73560C2semidirect
35. C2×C3×C4⋊Q8C22semidirect
37. C2×C3×#124C22semidirect
39. C2×#947C22semidirect
42. C2×#946C22semidirect
47. C2×#935C22semidirect
59. C2×#883C22semidirect
63. C2×#67⋊C4C22semidirect
64. C2×#67⋊C4C22semidirect
65. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#879C22semidirect
77. C2×#872C22semidirect
79. C3×#394C22semidirect
80. C3×#393C22semidirect
81. C3×#393C22semidirect
82. C3×#390C22semidirect
83. C3×#390C22semidirect
84. C3×#388C22semidirect
85. C3×#388C22semidirect
86. C3×#380C22semidirect
87. C3×C4×C4⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
89. #5230C22semidirect
90. #5230C22semidirect
91. #5229C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
97. #5220C22semidirect
99. #5213C22semidirect
100. C4×#217C22semidirect
101. #4993C22semidirect
102. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
114. #4984C22semidirect
115. #4982C22semidirect
116. #4982C22semidirect
117. #4980C22semidirect
118. #4975C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
130. #4958C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
137. #4956C22semidirect
139. #4952C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
144. #4949C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
147. #4945C22semidirect
148. #4944C22semidirect
149. #4944C22semidirect
150. #4944C22semidirect
151. #4942C22semidirect
152. Dic3×C22⋊C4C22semidirect
153. Dic3×C22⋊C4C22semidirect
154. #4940C22semidirect
155. #4940C22semidirect
156. #4939C22semidirect
159. C4×(C2×D3)⋊C4C22semidirect
160. C4×(C2×D3)⋊C4C22semidirect
161. C4×(C2×D3)⋊C4C22semidirect
162. C4×(C2×D3)⋊C4C22semidirect
163. #4933C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4670C22semidirect
173. #4670C22semidirect
174. #4668C22semidirect
177. #4666C22semidirect
178. #4666C22semidirect
179. #4666C22semidirect
180. #4666C22semidirect
185. #4660C22semidirect
186. #4659C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
204. #2491D3semidirect
386. D3×C22⋊C4D4semidirect
427. C2×C4⋊Q8C2×D3semidirect
432. C2×#124C2×D3semidirect
499. #394C2×D3semidirect
500. #393C2×D3semidirect
501. #393C2×D3semidirect
514. #390C2×D3semidirect
515. #390C2×D3semidirect
532. #388C2×D3semidirect
533. #388C2×D3semidirect
559. #380C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
578. C4×C22⋊C4C2×D3semidirect
716. C2×C4×D3#41semidirect
781. (C2×D3)⋊C4#41semidirect
1752. C3#35764semidirect

Maximal subgroups

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

subgroupindex
C2×#56792
C2×#56762
C3×#24912
#832552
#832332
#829752
#829682
#827022
#826582
#771232
D3×#3942
#769532
#769002
#768672
#768202
#767902
#767772
#764602
#764542
#764322
#763702
#758982
#758322
#755512
#754772
#740182
#739392
#737772
#737722
#736042
#735602
#357643