Finite Group Databasebeta

← #11025573

Subgroups — #11025573

Order 768.

2512 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5643C211yesmaximal, characteristic, complemented
2C22×#897C211yesmaximal, characteristic, complemented
3C3×#2449C211yesmaximal, characteristic, complemented
4#82797C211yesmaximal, characteristic, complemented
5#82769C211yesmaximal, characteristic, complemented
6#82747C211yesmaximal, characteristic, complemented
7#82407C211yesmaximal, characteristic
8#82335C211yesmaximal, characteristic, complemented
9#82175C211yesmaximal, characteristic, complemented
10#78073C211yesmaximal, characteristic, complemented
11#78058C211yesmaximal, characteristic, complemented
12#77985C211yesmaximal, characteristic, complemented
13#77826C211yesmaximal, characteristic, complemented
14#77427C211yesmaximal, characteristic, complemented
15#77295C211yesmaximal, characteristic, complemented
16#77267C211yesmaximal, characteristic, complemented
17#77179C211yesmaximal, characteristic, complemented
18#76264C211yesmaximal, characteristic, complemented
19#76011C211yesmaximal, characteristic, complemented
20#75174C211yesmaximal, characteristic, complemented
21#74951C211yesmaximal, characteristic, complemented
22#74936C211yesmaximal, characteristic, complemented
23#74727C211yesmaximal, characteristic, complemented
24#74704C211yesmaximal, characteristic, complemented
25#74701C211yesmaximal, characteristic, complemented
26#74629C211yesmaximal, characteristic, complemented
27#74453C211yesmaximal, characteristic, complemented
28#74448C211yesmaximal, characteristic, complemented
29#74422C211yesmaximal, characteristic, complemented
30#74412C211yesmaximal, characteristic, complemented
31#74379C211yesmaximal, characteristic, complemented
32#37723—31nomaximal, Sylow
33C23×C4×D3C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×Q8×Dic3C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#926C2211yescharacteristic, complemented
47C22×C4⋊Dic3C2211yescharacteristic
48C22×C4⋊Dic3C2211yescharacteristic
49#5643—28no—
50C2×#898C2211yescharacteristic
51C2×#898C2211yescharacteristic, complemented
52C2×#897—28no—
53C2×#897C2211yescharacteristic
54C2×#897C2211yescharacteristic
55C2×#897C2211yescharacteristic
56C2×#897C2211yescharacteristic
57C2×#897C2211yescharacteristic
58C2×#897C2211yescharacteristic
59C2×#897C2211yescharacteristic
60C2×#897C2211yescharacteristic
61C2×#897C2211yescharacteristic, complemented
62C2×#893C2211yescharacteristic
63C2×#893C2211yescharacteristic
64C2×#888C2211yescharacteristic, complemented
65C2×#888C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic
67C2×#885C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic
70C2×#883C2211yescharacteristic
71C2×#883C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic
75C3×#399C2211yescharacteristic, complemented
76C3×#398C2211yescharacteristic, complemented
77C3×#396C2211yescharacteristic, complemented
78C3×#395C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86#5231C2211yescharacteristic
87#5229C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5212C2211yescharacteristic
95#5212C2211yescharacteristic, complemented
96#5210C2211yescharacteristic
97C4×#217C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4992C2211yescharacteristic
103#4992C2211yescharacteristic
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic, complemented
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic
114#4988C2211yescharacteristic
115#4986C2211yescharacteristic, complemented
116#4985C2211yescharacteristic, complemented
117#4984C2211yescharacteristic, complemented
118#4984C2211yescharacteristic, complemented
119#4984C2211yescharacteristic, complemented
120#4984C2211yescharacteristic, complemented
121#4981C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4980C2211yescharacteristic, complemented
124#4980C2211yescharacteristic, complemented
125#4980C2211yescharacteristic, complemented
126#4980C2211yescharacteristic, complemented
127#4979C2211yescharacteristic, complemented
128#4979C2211yescharacteristic, complemented
129#4978C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131#4961C2211yescharacteristic
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic, complemented
134#4960C2211yescharacteristic
135#4959C2211yescharacteristic
136#4958C2211yescharacteristic
137#4957C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4951C2211yescharacteristic, complemented
143#4951C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4950C2211yescharacteristic
146#4950C2211yescharacteristic
147#4949C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4947C2211yescharacteristic, complemented
150#4946C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic
152Dic3×C22⋊C4C2211yescharacteristic
153Dic3×C22⋊C4C2211yescharacteristic
154#4940C2211yescharacteristic
155#4939C2211yescharacteristic
156#4936C2211yescharacteristic, complemented
157C4×C4⋊Dic3C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4674C2211yescharacteristic
162#4674C2211yescharacteristic, complemented
163#4673C2211yescharacteristic
164#4673C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4670C2211yescharacteristic
167#4670C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4664C2211yescharacteristic
179#4664C2211yescharacteristic
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×C22⋊Q8—31no—
192#2849—31no—
193#2730—31no—
194#2729—31no—
195#2723—31no—
196#2700—31no—
197#2698—31no—
198#2692—31no—
199#2674—31no—
200#2672—31no—
201#2663—31no—
202#2638—31no—
203#2481—31no—
204#2480—31no—
205#2477—31no—
206#2472—31no—
207#2472—31no—
208#2465—31no—
209#2461—31no—
210#2452—31no—
211#2449—31no—
212#2449D311yescharacteristic, complemented
213#2443—31no—
214#2436—31no—
215#2434—31no—
216#2424—31no—
217#2360—31no—
218#2352—31no—
219#2332—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3—42no—
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6—24no—
246C22×Dic6—42no—
247C22×Dic6—42no—
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×C22⋊Q8—24no—
254C3×C22⋊Q8—24no—
255C3×C4×D4—24no—
256C2×C3×C4⋊C4—24no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊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×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#947—24no—
287Q8×Dic3—24no—
288#939—42no—
289#937—42no—
290#930—24no—
291C2×(C2×D3)⋊C4—24no—
292C2×(C2×D3)⋊C4—24no—
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
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
323#926—24no—
324C2×C4⋊Dic3—24no—
325C2×C4⋊Dic3—24no—
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#898—24no—
360#897—24no—
361#897—24no—
362#897—24no—
363#897—24no—
364#897—24no—
365#897—24no—
366#897—24no—
367#897—24no—
368#897D418yescomplemented
369#893—24no—
370#893—42no—
371#888—24no—
372#888—42no—
373#885—24no—
374#885—24no—
375#885—42no—
376#883—24no—
377#883—24no—
378#883—42no—
379#882—24no—
380#67⋊C4—42no—
381#878—42no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
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
420C23×Q8—31no—
421C24×C4—31no—
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—68no—
445C2×C22⋊Q8C2×D311yescharacteristic
446C2×C22⋊Q8C2×D311yescharacteristic, complemented
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4C2×D311yescharacteristic
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4C2×D311yescharacteristic
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399C2×D311yescharacteristic, complemented
467#398—31no—
468#398—31no—
469#398C2×D311yescharacteristic, complemented
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396C2×D311yescharacteristic, complemented
482#395—31no—
483#395—31no—
484#395—31no—
485#395—31no—
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#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389C2×D311yescharacteristic, complemented
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387C2×D311yescharacteristic, complemented
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#386—31no—
547#386C2×D311yescharacteristic
548#386C2×D311yescharacteristic
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#385C2×D311yescharacteristic
561#385C2×D311yescharacteristic, complemented
562#382—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊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—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C2×C3×Q8—22no—
590C2×C3×Q8—22no—
591C2×C3×Q8—41no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—41no—
659C2×D12—41no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—416no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3C2×D414yes—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C2×Dic6—41no—
685C2×Dic6—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—416no—
689C2×Dic6—41no—
690C2×Dic6—41no—
691C2×Dic6C2×D414yes—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4C2×D414yes—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4#4114yes—
712C3×C42—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—41no—
719#217—41no—
720#217—41no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4C2×D414yes—
750(C2×D3)⋊C4C2×D414yes—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3C2×D414yes—
765C4⋊Dic3C2×D414yes—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—41no—
779C4×Dic3—41no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25—31no—
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—64no—
790C22×Q8—122no—
791C22×Q8—122no—
792C22×Q8C22×D311yescharacteristic
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4C22×D311yescharacteristic
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—64no—
809C23×C4—122no—
810C23×C4—122no—
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C4⋊Q8—64no—
816C4⋊Q8—122no—
817#126—64no—
818#126—64no—
819#124—64no—
820#124—64no—
821#124—64no—
822#124—122no—
823#123—64no—
824#123—64no—
825#123—122no—
826C22⋊Q8—24no—
827C22⋊Q8—24no—
828C22⋊Q8—38no—
829C22⋊Q8—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832C22⋊Q8—64no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—122no—
838#121—64no—
839#121—122no—
840#120—64no—
841#120—122no—
842C4×Q8—64no—
843C4×D4—24no—
844C4×D4—64no—
845C4×D4—122no—
846C4×D4—122no—
847#117—64no—
848C2×C4⋊C4—24no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—64no—
873C2×C4⋊C4—64no—
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
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—64no—
925C2×C22⋊C4—64no—
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3C2×#4112yes—
994C23×C3H(5,𝔽2)12yes—
995C23×C32−1+412yes—
996C23×C3C2511yescharacteristic
997C22×D3—28no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3C22×D412yes—
1024C22×D32−1+412yes—
1025C3×Q8—44no—
1026C3×D4—44no—
1027C2×C3×C4—28no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—44no—
1062C2×C3×C4—44no—
1063C2×C3×C4—44no—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C22×D412yes—
1066C2×C3×C4C22×D412yes—
1067C2×C3×C4C2×#4112yes—
1068C2×C3×C4C2×#4112yes—
1069C2×C3×C4H(5,𝔽2)12yes—
1070#67—44no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3—44no—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116D12—44no—
1117D12—44no—
1118C4×D3—44no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—82no—
1123Dic6—44no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—82no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—121no—
1137C24—121no—
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—34no—
1143C2×Q8—41no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—62no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×Q8—121no—
1155C2×Q8—121no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×Q8—1216no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—34no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—1216no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—34no—
1254C4⋊C4—34no—
1255C4⋊C4—41no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4D3×D414yes—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—34no—
1285C22⋊C4—34no—
1286C22⋊C4—41no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4#23714yes—
1324C42—22no—
1325C42—62no—
1326C42—62no—
1327C42—62no—
1328C42—62no—
1329C42—121no—
1330C42—121no—
1331C42—121no—
1332C42—121no—
1333C42—121no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3#54214yescomplemented
1348C22×C3C23×D411yescharacteristic
1349C22×C3C22×#4111yescharacteristic
1350C22×C3C2×H(5,𝔽2)11yescharacteristic
1351C22×C3C2×H(5,𝔽2)11yescharacteristic
1352C22×C3C2×2−1+411yescharacteristic
1353C22×C3C2×2−1+411yescharacteristic
1354C22×C3#58511yescharacteristic
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—416no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—22no—
1382C3×C4—22no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—32no—
1415C23—32no—
1416C23—68no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—124no—
1437C23—124no—
1438C23—124no—
1439C23—124no—
1440C23—124no—
1441C23—124no—
1442C23C2×#23712yes—
1443C23#100712yes—
1444C23#100912yes—
1445C23C24×D311yescharacteristic
1446Q8—44no—
1447Q8—124no—
1448Q8—124no—
1449Q8—124no—
1450Q8—124no—
1451Q8—242no—
1452D4—44no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—32no—
1494C2×C4—32no—
1495C2×C4—32no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4C2×D3×D412yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×#23712yes—
1547C2×C4C2×#23712yes—
1548C2×C4#100912yes—
1549C2×C3—24no—
1550C2×C3—81no—
1551C2×C3C2×#54211yescharacteristic
1552C2×C3D4×#4111yescharacteristic
1553C2×C3#348411yescharacteristic
1554C2×C3#348611yescharacteristic
1555C2×C3#352011yescharacteristic
1556C2×C3#353511yescharacteristic
1557C2×C3#354111yescharacteristic
1558D3—42no—
1559D3—42no—
1560D3—81no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—1216no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22#564314yescomplemented
1597C22C22×D3×D411yescharacteristic
1598C22C22×#23711yescharacteristic
1599C22C2×#100711yescharacteristic
1600C22C2×#100911yescharacteristic
1601C22C2×#100911yescharacteristic
1602C22#596611yescharacteristic
1603C22D3×2−1+411yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—121no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3772311yescharacteristic, complemented, Sylow
1631C2—24no—
1632C2—81no—
1633C2—122no—
1634C2—122no—
1635C2—241no—
1636C2C2×#564311yescharacteristic
1637C2#8603911yescharacteristic
1638C2#8646011yescharacteristic
1639C2D4×#23711yescharacteristic
1640C2#8668511yescharacteristic
1641C2#8675911yescharacteristic
1642C2#8693711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
prime radical#82407C2
hypercenter#2449D3
hypocenterC3#37723
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5643C2semidirect
2. C22×#897C2semidirect
3. C3×#2449C2semidirect
4. #82797C2semidirect
5. #82769C2semidirect
6. #82747C2semidirect
8. #82335C2semidirect
9. #82175C2semidirect
10. #78073C2semidirect
11. #78058C2semidirect
12. #77985C2semidirect
13. #77826C2semidirect
14. #77427C2semidirect
15. #77295C2semidirect
16. #77267C2semidirect
17. #77179C2semidirect
18. #76264C2semidirect
19. #76011C2semidirect
20. #75174C2semidirect
21. #74951C2semidirect
22. #74936C2semidirect
23. #74727C2semidirect
24. #74704C2semidirect
25. #74701C2semidirect
26. #74629C2semidirect
27. #74453C2semidirect
28. #74448C2semidirect
29. #74422C2semidirect
30. #74412C2semidirect
31. #74379C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
40. C2×Q8×Dic3C22semidirect
46. C2×#926C22semidirect
51. C2×#898C22semidirect
61. C2×#897C22semidirect
64. C2×#888C22semidirect
65. C2×#888C22semidirect
67. C2×#885C22semidirect
68. C2×#885C22semidirect
71. C2×#883C22semidirect
75. C3×#399C22semidirect
76. C3×#398C22semidirect
77. C3×#396C22semidirect
78. C3×#395C22semidirect
79. C3×#389C22semidirect
80. C3×#387C22semidirect
85. C3×#385C22semidirect
87. #5229C22semidirect
95. #5212C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
104. #4992C22semidirect
111. #4990C22semidirect
115. #4986C22semidirect
116. #4985C22semidirect
117. #4984C22semidirect
118. #4984C22semidirect
119. #4984C22semidirect
120. #4984C22semidirect
121. #4981C22semidirect
122. #4980C22semidirect
123. #4980C22semidirect
124. #4980C22semidirect
125. #4980C22semidirect
126. #4980C22semidirect
127. #4979C22semidirect
128. #4979C22semidirect
129. #4978C22semidirect
130. Dic3×C4⋊C4C22semidirect
133. #4961C22semidirect
142. #4951C22semidirect
143. #4951C22semidirect
144. #4951C22semidirect
147. #4949C22semidirect
148. #4947C22semidirect
149. #4947C22semidirect
156. #4936C22semidirect
157. C4×C4⋊Dic3C22semidirect
158. #4677C22semidirect
162. #4674C22semidirect
164. #4673C22semidirect
165. #4673C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
212. #2449D3semidirect
368. #897D4semidirect
446. C2×C22⋊Q8C2×D3semidirect
466. #399C2×D3semidirect
469. #398C2×D3semidirect
481. #396C2×D3semidirect
487. #395C2×D3semidirect
514. #389C2×D3semidirect
535. #387C2×D3semidirect
561. #385C2×D3semidirect
1347. C22×C3#542semidirect
1596. C22#5643semidirect
1630. C3#37723semidirect

Maximal subgroups

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

subgroupindex
C2×#56432
C22×#8972
C3×#24492
#827972
#827692
#827472
#824072
#823352
#821752
#780732
#780582
#779852
#778262
#774272
#772952
#772672
#771792
#762642
#760112
#751742
#749512
#749362
#747272
#747042
#747012
#746292
#744532
#744482
#744222
#744122
#743792
#377233