Finite Group Databasebeta

← #11013458

Subgroups — #11013458

Order 768.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5678C211yesmaximal, characteristic, complemented
3C3×#2662C211yesmaximal, characteristic, complemented
4#83104C211yesmaximal, characteristic, complemented
5#82993C211yesmaximal, characteristic, complemented
6#77432C211yesmaximal, characteristic, complemented
7#77430C211yesmaximal, characteristic, complemented
8#77368C211yesmaximal, characteristic, complemented
9#77354C211yesmaximal, characteristic, complemented
10#77260C211yesmaximal, characteristic, complemented
11#77259C211yesmaximal, characteristic, complemented
12#77138C211yesmaximal, characteristic, complemented
13#77136C211yesmaximal, characteristic, complemented
14#77132C211yesmaximal, characteristic, complemented
15#77128C211yesmaximal, characteristic, complemented
16#77025C211yesmaximal, characteristic, complemented
17#77007C211yesmaximal, characteristic, complemented
18#76874C211yesmaximal, characteristic, complemented
19#76873C211yesmaximal, characteristic, complemented
20#76766C211yesmaximal, characteristic, complemented
21#76764C211yesmaximal, characteristic, complemented
22#76454C211yesmaximal, characteristic, complemented
23#76454C211yesmaximal, characteristic, complemented
24#76437C211yesmaximal, characteristic, complemented
25#76311C211yesmaximal, characteristic, complemented
26#75842C211yesmaximal, characteristic, complemented
27#75646C211yesmaximal, characteristic, complemented
28#75645C211yesmaximal, characteristic, complemented
29#75495C211yesmaximal, characteristic, complemented
30#73816C211yesmaximal, characteristic, complemented
31#73617C211yesmaximal, characteristic, complemented
32#37132—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic, complemented
34C2×C3×#124C2211yescharacteristic, complemented
35C2×#947C2211yescharacteristic
36C2×#947C2211yescharacteristic, complemented
37C2×#946C2211yescharacteristic, complemented
38C2×#944C2211yescharacteristic, complemented
39C2×#940C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#936C2211yescharacteristic, complemented
47#5704—28no—
48#5678—28no—
49C2×#898C2211yescharacteristic, complemented
50C2×#896C2211yescharacteristic, complemented
51C2×#895C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic, complemented
58C2×#885C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×#879C2211yescharacteristic, complemented
77C2×#876C2211yescharacteristic, complemented
78C2×#875C2211yescharacteristic, complemented
79C2×C4×D12C2211yescharacteristic
80C2×#872C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#395C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#393C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic
90C3×#390C2211yescharacteristic
91C3×#390C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#388C2211yescharacteristic, complemented
94C3×C4×C4⋊C4C2211yescharacteristic, complemented
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5222C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic
112#4988C2211yescharacteristic
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4949C2211yescharacteristic, complemented
150#4949C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4942C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4939C2211yescharacteristic
162#4939C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165C42×Dic3C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4672C2211yescharacteristic
171#4672C2211yescharacteristic
172#4672C2211yescharacteristic
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4671C2211yescharacteristic
176#4671C2211yescharacteristic
177#4669C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4669C2211yescharacteristic, complemented
181#4669C2211yescharacteristic, complemented
182#4668C2211yescharacteristic, complemented
183#4668C2211yescharacteristic, complemented
184#4667C2211yescharacteristic, complemented
185#4665C2211yescharacteristic
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2860—31no—
193#2858—31no—
194#2727—31no—
195#2705—31no—
196#2705—31no—
197#2682—31no—
198#2682—31no—
199#2679—31no—
200#2678—31no—
201#2678—31no—
202#2674—31no—
203#2674—31no—
204#2672—31no—
205#2672—31no—
206#2670—31no—
207#2670—31no—
208#2669—31no—
209#2669—31no—
210#2662—31no—
211#2662D311yescharacteristic, complemented
212#2602—31no—
213#2602—31no—
214#2539—31no—
215#2539—31no—
216#2414—31no—
217#2414—31no—
218#2411—31no—
219#2411—31no—
220#2293—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#126—24no—
254C3×#124—24no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊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×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290#947—24no—
291#947—42no—
292#946—24no—
293#944—42no—
294#940—42no—
295#939—24no—
296#939—42no—
297#937—24no—
298#937—42no—
299#937—42no—
300#937—42no—
301#936—42no—
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#898—24no—
371#896—24no—
372#895—24no—
373#895—24no—
374#894—24no—
375#894—42no—
376#894—42no—
377#893—24no—
378#886—24no—
379#885—24no—
380#884—24no—
381#884—24no—
382#884—24no—
383#884—42no—
384#883—24no—
385#883—24no—
386#883—42no—
387#883—42no—
388#882—24no—
389#882—24no—
390#882—24no—
391#882—42no—
392#882—42no—
393#882—42no—
394#67⋊C4—24no—
395D3×C22⋊C4—24no—
396D3×C22⋊C4—24no—
397#879—24no—
398#876—24no—
399#875—24no—
400C4×D12D418yescomplemented
401#872—42no—
402#872—42no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423#538—68no—
424#538—68no—
425C2×C4⋊Q8—31no—
426C2×#127—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#126C2×D311yescharacteristic, complemented
431C2×#124—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124C2×D311yescharacteristic, complemented
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×#117—31no—
469C2×#117—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396C2×D311yescharacteristic, complemented
485#396C2×D311yescharacteristic, complemented
486#395—31no—
487#395C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
504#394C2×D311yescharacteristic, complemented
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393C2×D311yescharacteristic, complemented
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#392—31no—
517#392—31no—
518#392—31no—
519#392C2×D311yescharacteristic
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390C2×D311yescharacteristic
538#390C2×D311yescharacteristic, complemented
539#389—31no—
540#389—31no—
541#389—31no—
542#389—31no—
543#389—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388C2×D311yescharacteristic, complemented
561#388C2×D311yescharacteristic, complemented
562#387—31no—
563#387—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#380—31no—
574#379—31no—
575#379—31no—
576C4×C4⋊C4C2×D311yescharacteristic, complemented
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C43—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
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—22no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×D12—41no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12C2×D414yes—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
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×D3C2×D414yes—
711C2×C4×D3C2×D414yes—
712C2×Dic6—22no—
713C2×Dic6—41no—
714C2×Dic6—41no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—41no—
719C3×C4⋊C4—41no—
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—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C42—41no—
738C3×C42—41no—
739C3×C42C2×D414yes—
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(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
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)⋊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)⋊C4C2×D414yes—
788(C2×D3)⋊C4C2×D414yes—
789C4⋊Dic3—22no—
790C4⋊Dic3—41no—
791C4⋊Dic3—41no—
792C4⋊Dic3C2×D414yes—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3—22no—
814C4×Dic3—22no—
815C4×Dic3—41no—
816C4×Dic3—41no—
817C4×Dic3—41no—
818C25—31no—
819C25—31no—
820C22×Q8—31no—
821C22×Q8C22×D311yescharacteristic
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
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×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C4⋊Q8—122no—
851#127—122no—
852#126—24no—
853#126—64no—
854#126—64no—
855#126—64no—
856#124—24no—
857#124—64no—
858#124—64no—
859#124—64no—
860#124—122no—
861#124—122no—
862#123—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—122no—
867#123—122no—
868#123—122no—
869#123—122no—
870C22⋊Q8—64no—
871C22⋊Q8—64no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—122no—
879#121—122no—
880#120—64no—
881#120—64no—
882#120—64no—
883#120—64no—
884#120—122no—
885#120—122no—
886#120—122no—
887#120—122no—
888#120—122no—
889#120—122no—
890C4×D4—38no—
891C4×D4—64no—
892C4×D4—64no—
893#117—122no—
894#117—122no—
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—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⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
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×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—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—64no—
973C2×C22⋊C4—64no—
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42C22×D311yescharacteristic
998C2×C42C22×D311yescharacteristic
999C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
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×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×C3C2511yescharacteristic
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—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—44no—
1076C22×D3—44no—
1077C22×D3—82no—
1078C22×D3—82no—
1079C22×D3—82no—
1080C22×D3—82no—
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×D3C22×D412yes—
1090C22×D3C22×D412yes—
1091C3×Q8—82no—
1092C3×D4—82no—
1093C3×D4—82no—
1094C3×D4—82no—
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—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×C4C22×D412yes—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131#67—44no—
1132#67—82no—
1133#67—82no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137#67—82no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141#67—82no—
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—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—82no—
1171C2×Dic3C22×D412yes—
1172C2×Dic3C22×D412yes—
1173C2×Dic3H(5,𝔽2)12yes—
1174C2×Dic3H(5,𝔽2)12yes—
1175C2×Dic3H(5,𝔽2)12yes—
1176D12—44no—
1177D12—44no—
1178D12—82no—
1179D12—82no—
1180D12—82no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184C4×D3—44no—
1185C4×D3—44no—
1186C4×D3—82no—
1187C4×D3—82no—
1188C4×D3—82no—
1189Dic6—82no—
1190C24—31no—
1191C24—31no—
1192C24—31no—
1193C24—31no—
1194C24—31no—
1195C24—62no—
1196C24—62no—
1197C24—121no—
1198C24—121no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211C24C23×D311yescharacteristic
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—62no—
1216C2×Q8—121no—
1217C2×Q8—121no—
1218C2×D4—22no—
1219C2×D4—34no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
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—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
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—121no—
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—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—34no—
1290C22×C4—34no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—34no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C4⋊C4—121no—
1351C4⋊C4—121no—
1352C4⋊C4—121no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—34no—
1361C22⋊C4—34no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
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—62no—
1387C22⋊C4—62no—
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—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—
1417C42—41no—
1418C42—41no—
1419C42—62no—
1420C42—62no—
1421C42—62no—
1422C42—62no—
1423C42—62no—
1424C42—121no—
1425C42—121no—
1426C42—121no—
1427C42D3×D414yes—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
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×C3C23×D411yescharacteristic
1450C22×C3C2×H(5,𝔽2)11yescharacteristic
1451C22×C3C2×H(5,𝔽2)11yescharacteristic
1452C22×C3C2×H(5,𝔽2)11yescharacteristic
1453C22×C3#58511yescharacteristic
1454C22×C3#58511yescharacteristic
1455C22×C3#58511yescharacteristic
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
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—88no—
1492C2×D3—88no—
1493C3×C4—22no—
1494C3×C4—22no—
1495C3×C4—22no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4—41no—
1505Dic3—22no—
1506Dic3—22no—
1507Dic3—22no—
1508Dic3—22no—
1509Dic3—22no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
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—32no—
1538C23—32no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
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—124no—
1573C23—124no—
1574C23—242no—
1575C23—242no—
1576C23—242no—
1577C23—242no—
1578C23—242no—
1579C23—242no—
1580C23—242no—
1581C23—242no—
1582C23—242no—
1583C23—242no—
1584C23—242no—
1585C23—242no—
1586C23C24×D311yescharacteristic
1587Q8—82no—
1588Q8—242no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—124no—
1593D4—124no—
1594D4—124no—
1595D4—242no—
1596D4—242no—
1597D4—242no—
1598D4—242no—
1599D4—242no—
1600D4—242no—
1601D4—242no—
1602D4—242no—
1603D4—242no—
1604D4—242no—
1605D4—242no—
1606D4—242no—
1607D4—242no—
1608D4—242no—
1609D4—242no—
1610D4—242no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
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—32no—
1645C2×C4—32no—
1646C2×C4—32no—
1647C2×C4—32no—
1648C2×C4—32no—
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—124no—
1678C2×C4—124no—
1679C2×C4—242no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4C2×D3×D412yes—
1684C2×C4C2×D3×D412yes—
1685C2×C4C2×D3×D412yes—
1686C2×C3—81no—
1687C2×C3—81no—
1688C2×C3—81no—
1689C2×C3#344911yescharacteristic
1690C2×C3#349611yescharacteristic
1691C2×C3#349811yescharacteristic
1692C2×C3#354511yescharacteristic
1693C2×C3#354611yescharacteristic
1694C2×C3#355811yescharacteristic
1695C2×C3#356011yescharacteristic
1696D3—42no—
1697D3—42no—
1698D3—81no—
1699D3—81no—
1700D3—81no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—62no—
1726C22—62no—
1727C22—62no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
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—248no—
1758C22—248no—
1759C22C22×D3×D411yescharacteristic
1760C22#596411yescharacteristic
1761C22#596411yescharacteristic
1762C22D3×H(5,𝔽2)11yescharacteristic
1763C22D3×H(5,𝔽2)11yescharacteristic
1764C22D3×H(5,𝔽2)11yescharacteristic
1765C22#596811yescharacteristic
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—62no—
1779C4—62no—
1780C4—62no—
1781C4—62no—
1782C4—62no—
1783C4—121no—
1784C4—121no—
1785C4—121no—
1786C4—121no—
1787C4—121no—
1788C4—121no—
1789C3#3713211yescharacteristic, complemented, Sylow
1790C2—81no—
1791C2—81no—
1792C2—81no—
1793C2—122no—
1794C2—122no—
1795C2—241no—
1796C2—241no—
1797C2—241no—
1798C2#8623511yescharacteristic
1799C2#8631611yescharacteristic
1800C2#8638211yescharacteristic
1801C2#8640111yescharacteristic
1802C2#8642411yescharacteristic
1803C2#8656511yescharacteristic
1804C2#8656811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2662C2
hypercenter#2662D3
hypocenterC3#37132
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2662

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5678C2semidirect
3. C3×#2662C2semidirect
4. #83104C2semidirect
5. #82993C2semidirect
6. #77432C2semidirect
7. #77430C2semidirect
8. #77368C2semidirect
9. #77354C2semidirect
10. #77260C2semidirect
11. #77259C2semidirect
12. #77138C2semidirect
13. #77136C2semidirect
14. #77132C2semidirect
15. #77128C2semidirect
16. #77025C2semidirect
17. #77007C2semidirect
18. #76874C2semidirect
19. #76873C2semidirect
20. #76766C2semidirect
21. #76764C2semidirect
22. #76454C2semidirect
23. #76454C2semidirect
24. #76437C2semidirect
25. #76311C2semidirect
26. #75842C2semidirect
27. #75646C2semidirect
28. #75645C2semidirect
29. #75495C2semidirect
30. #73816C2semidirect
31. #73617C2semidirect
33. C2×C3×#126C22semidirect
34. C2×C3×#124C22semidirect
36. C2×#947C22semidirect
37. C2×#946C22semidirect
38. C2×#944C22semidirect
41. C2×#939C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
46. C2×#936C22semidirect
49. C2×#898C22semidirect
50. C2×#896C22semidirect
55. C2×#894C22semidirect
56. C2×#893C22semidirect
57. C2×#886C22semidirect
62. C2×#884C22semidirect
65. C2×#883C22semidirect
66. C2×#883C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×#879C22semidirect
77. C2×#876C22semidirect
78. C2×#875C22semidirect
80. C2×#872C22semidirect
81. C2×#872C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
84. C3×#395C22semidirect
86. C3×#394C22semidirect
87. C3×#394C22semidirect
88. C3×#393C22semidirect
91. C3×#390C22semidirect
92. C3×#388C22semidirect
93. C3×#388C22semidirect
94. C3×C4×C4⋊C4C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. #4976C22semidirect
117. #4972C22semidirect
118. #4972C22semidirect
119. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
130. #4959C22semidirect
131. #4958C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
146. #4956C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4949C22semidirect
150. #4949C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4946C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
157. #4945C22semidirect
158. #4942C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
162. #4939C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. C42×Dic3C22semidirect
166. #4676C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4673C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
177. #4669C22semidirect
178. #4669C22semidirect
179. #4669C22semidirect
180. #4669C22semidirect
181. #4669C22semidirect
182. #4668C22semidirect
183. #4668C22semidirect
184. #4667C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4652C22semidirect
189. #4647C22semidirect
211. #2662D3semidirect
400. C4×D12D4semidirect
430. C2×#126C2×D3semidirect
436. C2×#124C2×D3semidirect
484. #396C2×D3semidirect
485. #396C2×D3semidirect
487. #395C2×D3semidirect
504. #394C2×D3semidirect
505. #394C2×D3semidirect
507. #393C2×D3semidirect
538. #390C2×D3semidirect
560. #388C2×D3semidirect
561. #388C2×D3semidirect
576. C4×C4⋊C4C2×D3semidirect
1789. C3#37132semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#56782
C3×#26622
#831042
#829932
#774322
#774302
#773682
#773542
#772602
#772592
#771382
#771362
#771322
#771282
#770252
#770072
#768742
#768732
#767662
#767642
#764542
#764372
#763112
#758422
#756462
#756452
#754952
#738162
#736172
#371323