Finite Group Databasebeta

← #11025593

Subgroups — #11025593

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×#5710C211yesmaximal, characteristic, complemented
2C22×#878C211yesmaximal, characteristic, complemented
3C3×#2480C211yesmaximal, characteristic, complemented
4#83093C211yesmaximal, characteristic, complemented
5#82109C211yesmaximal, characteristic
6#77594C211yesmaximal, characteristic, complemented
7#77580C211yesmaximal, characteristic, complemented
8#77567C211yesmaximal, characteristic, complemented
9#77565C211yesmaximal, characteristic, complemented
10#77546C211yesmaximal, characteristic, complemented
11#77477C211yesmaximal, characteristic, complemented
12#77436C211yesmaximal, characteristic, complemented
13#77290C211yesmaximal, characteristic, complemented
14#75708C211yesmaximal, characteristic, complemented
15#75707C211yesmaximal, characteristic, complemented
16#75665C211yesmaximal, characteristic, complemented
17#75515C211yesmaximal, characteristic, complemented
18#75511C211yesmaximal, characteristic, complemented
19#75463C211yesmaximal, characteristic, complemented
20#74422C211yesmaximal, characteristic, complemented
21#74421C211yesmaximal, characteristic, complemented
22#74418C211yesmaximal, characteristic, complemented
23#74412C211yesmaximal, characteristic, complemented
24#73910C211yesmaximal, characteristic, complemented
25#73883C211yesmaximal, characteristic, complemented
26#73847C211yesmaximal, characteristic, complemented
27#73829C211yesmaximal, characteristic, complemented
28#73829C211yesmaximal, characteristic, complemented
29#73818C211yesmaximal, characteristic, complemented
30#73491C211yesmaximal, characteristic, complemented
31#73466C211yesmaximal, characteristic, complemented
32#37723—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C22×C4⋊Dic3C2211yescharacteristic
43C22×Dic3⋊C4C2211yescharacteristic
44C22×Dic3⋊C4C2211yescharacteristic
45#5710—28no—
46C2×#898C2211yescharacteristic, complemented
47C2×#897C2211yescharacteristic, complemented
48C2×#896C2211yescharacteristic, complemented
49C2×#894C2211yescharacteristic, complemented
50C2×#892C2211yescharacteristic, complemented
51C2×#888C2211yescharacteristic, complemented
52C2×#888C2211yescharacteristic, complemented
53C2×#886C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#67⋊C4C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#878—28no—
62C2×#878C2211yescharacteristic
63C2×#878C2211yescharacteristic
64C2×#878C2211yescharacteristic
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#875C2211yescharacteristic, complemented
73C2×#875C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic
77C3×#397C2211yescharacteristic
78C3×#396C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#380C2211yescharacteristic
85C3×#379C2211yescharacteristic
86C3×#379C2211yescharacteristic
87C3×C4×C22⋊C4C2211yescharacteristic
88#5213C2211yescharacteristic
89#5210C2211yescharacteristic
90#4994C2211yescharacteristic, complemented
91#4994C2211yescharacteristic, complemented
92#4993C2211yescharacteristic, complemented
93#4993C2211yescharacteristic, complemented
94#4989C2211yescharacteristic, complemented
95#4987C2211yescharacteristic, complemented
96#4985C2211yescharacteristic, complemented
97#4984C2211yescharacteristic, complemented
98#4982C2211yescharacteristic, complemented
99#4981C2211yescharacteristic, complemented
100#4979C2211yescharacteristic, complemented
101#4979C2211yescharacteristic, complemented
102#4979C2211yescharacteristic, complemented
103#4978C2211yescharacteristic, complemented
104#4977C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106Dic3×C4⋊C4C2211yescharacteristic, complemented
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4960C2211yescharacteristic
110#4959C2211yescharacteristic
111#4959C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic
114#4958C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic
119#4958C2211yescharacteristic
120#4958C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4956C2211yescharacteristic
129#4952C2211yescharacteristic
130#4952C2211yescharacteristic
131#4951C2211yescharacteristic
132#4951C2211yescharacteristic
133#4951C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4948C2211yescharacteristic
139#4947C2211yescharacteristic
140#4947C2211yescharacteristic
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4944C2211yescharacteristic
145#4944C2211yescharacteristic
146#4943C2211yescharacteristic
147#4943C2211yescharacteristic
148Dic3×C22⋊C4C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic
150Dic3×C22⋊C4C2211yescharacteristic
151Dic3×C22⋊C4C2211yescharacteristic
152Dic3×C22⋊C4C2211yescharacteristic
153#4933C2211yescharacteristic, complemented
154C4×Dic3⋊C4C2211yescharacteristic, complemented
155#4929C2211yescharacteristic, complemented
156#4929C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4657C2211yescharacteristic, complemented
175#4656C2211yescharacteristic, complemented
176#4656C2211yescharacteristic, complemented
177#4656C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, 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#2480D311yescharacteristic, complemented
205#2477—31no—
206#2472—31no—
207#2472—31no—
208#2465—31no—
209#2461—31no—
210#2452—31no—
211#2449—31no—
212#2449—31no—
213#2443—31no—
214#2436—31no—
215#2434—31no—
216#2424—31no—
217#2360—31no—
218#2352—31no—
219#2332—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3—24no—
231C23×Dic3—42no—
232C23×Dic3—42no—
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6—24no—
245C22×Dic6—42no—
246C22×Dic6—42no—
247C22×Dic6C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#126—24no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4—24no—
261C2×C3×C22⋊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
279#953—24no—
280#953—42no—
281C2×#217—24no—
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#930—42no—
293C4×#67—24no—
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×C4⋊Dic3—24no—
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×Dic3⋊C4—24no—
327C2×Dic3⋊C4—24no—
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#898—24no—
355#897—24no—
356#896—24no—
357#894—24no—
358#892—24no—
359#888—24no—
360#888—42no—
361#886—24no—
362#886—42no—
363#885—24no—
364#885—24no—
365#884—24no—
366#67⋊C4—24no—
367#67⋊C4—42no—
368#67⋊C4—42no—
369#878—24no—
370#878—24no—
371#878—24no—
372#878—24no—
373#878—24no—
374#878—24no—
375#878—24no—
376#878—24no—
377#878—42no—
378#878D418yescomplemented
379#875—24no—
380#875—42no—
381C4×Dic6—24no—
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×#126C2×D311yescharacteristic
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—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—68no—
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×D4—31no—
456C2×#117—31no—
457C22×C4⋊C4—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397C2×D311yescharacteristic
475#397C2×D311yescharacteristic
476#397C2×D311yescharacteristic
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396C2×D311yescharacteristic
482#395—31no—
483#395—31no—
484#395—31no—
485#395—31no—
486#395—31no—
487#395—31no—
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#389—31no—
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#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#388C2×D311yescharacteristic
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#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#386—31no—
547#386—31no—
548#386—31no—
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#385—31no—
560#385C2×D311yescharacteristic
561#385C2×D311yescharacteristic
562#382—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380C2×D311yescharacteristic
567#379C2×D311yescharacteristic
568#379C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—416no—
649C22×Dic3C2×D414yes—
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C2×D12—22no—
665C2×D12—41no—
666C2×D12—41no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—22no—
681C2×Dic6—41no—
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—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4C2×D414yes—
714C3×C42—22no—
715C3×C42—41no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—41no—
723#217—41no—
724#217C2×D414yes—
725#217#4114yes—
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—41no—
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—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3C2×D414yes—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4C2×D414yes—
774Dic3⋊C4C2×D414yes—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—41no—
780C4×Dic3—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C25C22×D311yescharacteristic
784C22×Q8—31no—
785C22×Q8—31no—
786C22×Q8—31no—
787C22×Q8—31no—
788C22×Q8—31no—
789C22×Q8—31no—
790C22×Q8—64no—
791C22×Q8—122no—
792C22×Q8—122no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
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—31no—
809C23×C4—31no—
810C23×C4—64no—
811C23×C4—122no—
812C23×C4—122no—
813C23×C4C22×D311yescharacteristic
814C23×C4C22×D311yescharacteristic
815C4⋊Q8—64no—
816C4⋊Q8—122no—
817#126—24no—
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—38no—
827C22⋊Q8—64no—
828C22⋊Q8—64no—
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—64no—
844C4×D4—64no—
845C4×D4—122no—
846C4×D4—122no—
847#117—64no—
848C2×C4⋊C4—31no—
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—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—64no—
878C2×C4⋊C4—64no—
879C2×C4⋊C4—64no—
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—24no—
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—64no—
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
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—28no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—44no—
1000C23×C3—44no—
1001C23×C3—44no—
1002C23×C3—44no—
1003C23×C3—44no—
1004C23×C3—44no—
1005C23×C3C22×D412yes—
1006C23×C3C2×#4112yes—
1007C23×C3H(5,𝔽2)12yes—
1008C23×C32−1+412yes—
1009C23×C32−1+412yes—
1010C23×C3C2511yescharacteristic
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
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—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—44no—
1067#67—82no—
1068#67—82no—
1069C2×Dic3—28no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
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—44no—
1106C2×Dic3—44no—
1107C2×Dic3—44no—
1108C2×Dic3—44no—
1109C2×Dic3—44no—
1110C2×Dic3—44no—
1111C2×Dic3—44no—
1112C2×Dic3C22×D412yes—
1113C2×Dic3C22×D412yes—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C2×#4112yes—
1117C2×Dic3C2×#4112yes—
1118C2×Dic3H(5,𝔽2)12yes—
1119D12—82no—
1120C4×D3—44no—
1121C4×D3—82no—
1122Dic6—44no—
1123Dic6—44no—
1124Dic6—44no—
1125Dic6—44no—
1126Dic6—44no—
1127Dic6—82no—
1128C24—22no—
1129C24—22no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—31no—
1134C24—31no—
1135C24—41no—
1136C24—41no—
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C24C23×D311yescharacteristic
1140C2×Q8—34no—
1141C2×Q8—62no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—62no—
1145C2×Q8—62no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—62no—
1149C2×Q8—121no—
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—62no—
1160C2×D4—62no—
1161C2×D4—62no—
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—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—34no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
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—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—1216no—
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—34no—
1247C4⋊C4—34no—
1248C4⋊C4—34no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
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—62no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—34no—
1290C22⋊C4—34no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
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—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
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⋊C4D3×D414yes—
1324C42—22no—
1325C42—41no—
1326C42—62no—
1327C42—62no—
1328C42—62no—
1329C42—62no—
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—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—416no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3#54214yescomplemented
1356C22×C3C23×D411yescharacteristic
1357C22×C3C22×#4111yescharacteristic
1358C22×C3C2×H(5,𝔽2)11yescharacteristic
1359C22×C3C2×H(5,𝔽2)11yescharacteristic
1360C22×C3C2×2−1+411yescharacteristic
1361C22×C3C2×2−1+411yescharacteristic
1362C22×C3#58511yescharacteristic
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—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—22no—
1394Dic3—22no—
1395Dic3—22no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401Dic3—41no—
1402Dic3—41no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23C2×D3×D412yes—
1441C23D3×#4112yes—
1442C23#100912yes—
1443C23#101012yes—
1444C23#101012yes—
1445C23C24×D311yescharacteristic
1446Q8—124no—
1447Q8—124no—
1448Q8—124no—
1449Q8—124no—
1450Q8—124no—
1451Q8—242no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459C2×C4—21no—
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—32no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—68no—
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—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—124no—
1544C2×C4—124no—
1545C2×C4—124no—
1546C2×C4—242no—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C3—24no—
1550C2×C3—42no—
1551C2×C3—42no—
1552C2×C3C2×#54211yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#348411yescharacteristic
1555C2×C3#348611yescharacteristic
1556C2×C3#352011yescharacteristic
1557C2×C3#353511yescharacteristic
1558C2×C3#354111yescharacteristic
1559D3—81no—
1560D3—81no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—416no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
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#571014yescomplemented
1597C22C22×D3×D411yescharacteristic
1598C22C2×D3×#4111yescharacteristic
1599C22C2×#100911yescharacteristic
1600C22C2×#101011yescharacteristic
1601C22C2×#101011yescharacteristic
1602C22D3×H(5,𝔽2)11yescharacteristic
1603C22#596611yescharacteristic
1604C4—22no—
1605C4—22no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—62no—
1617C4—62no—
1618C4—62no—
1619C4—62no—
1620C4—62no—
1621C4—62no—
1622C4—62no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C3#3772311yescharacteristic, complemented, Sylow
1631C2—24no—
1632C2—42no—
1633C2—42no—
1634C2—241no—
1635C2—241no—
1636C2#8602211yescharacteristic
1637C2C2×#571011yescharacteristic
1638C2#8639911yescharacteristic
1639C2#8662611yescharacteristic
1640C2#8666211yescharacteristic
1641C2#8679811yescharacteristic
1642C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2480C2
prime radical#82109C2
hypercenter#2480D3
hypocenterC3#37723
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#5710C2semidirect
2. C22×#878C2semidirect
3. C3×#2480C2semidirect
4. #83093C2semidirect
6. #77594C2semidirect
7. #77580C2semidirect
8. #77567C2semidirect
9. #77565C2semidirect
10. #77546C2semidirect
11. #77477C2semidirect
12. #77436C2semidirect
13. #77290C2semidirect
14. #75708C2semidirect
15. #75707C2semidirect
16. #75665C2semidirect
17. #75515C2semidirect
18. #75511C2semidirect
19. #75463C2semidirect
20. #74422C2semidirect
21. #74421C2semidirect
22. #74418C2semidirect
23. #74412C2semidirect
24. #73910C2semidirect
25. #73883C2semidirect
26. #73847C2semidirect
27. #73829C2semidirect
28. #73829C2semidirect
29. #73818C2semidirect
30. #73491C2semidirect
31. #73466C2semidirect
46. C2×#898C22semidirect
47. C2×#897C22semidirect
48. C2×#896C22semidirect
49. C2×#894C22semidirect
50. C2×#892C22semidirect
51. C2×#888C22semidirect
52. C2×#888C22semidirect
72. C2×#875C22semidirect
73. C2×#875C22semidirect
74. C2×C4×Dic6C22semidirect
90. #4994C22semidirect
91. #4994C22semidirect
92. #4993C22semidirect
93. #4993C22semidirect
94. #4989C22semidirect
95. #4987C22semidirect
96. #4985C22semidirect
97. #4984C22semidirect
98. #4982C22semidirect
99. #4981C22semidirect
100. #4979C22semidirect
101. #4979C22semidirect
102. #4979C22semidirect
103. #4978C22semidirect
104. #4977C22semidirect
105. #4976C22semidirect
106. Dic3×C4⋊C4C22semidirect
153. #4933C22semidirect
154. C4×Dic3⋊C4C22semidirect
155. #4929C22semidirect
156. #4929C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
159. #4676C22semidirect
160. #4675C22semidirect
161. #4675C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
164. #4673C22semidirect
165. #4673C22semidirect
166. #4672C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4660C22semidirect
174. #4657C22semidirect
175. #4656C22semidirect
176. #4656C22semidirect
177. #4656C22semidirect
178. #4655C22semidirect
179. #4655C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
204. #2480D3semidirect
378. #878D4semidirect
1355. C22×C3#542semidirect
1596. C22#5710semidirect
1630. C3#37723semidirect

Maximal subgroups

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

subgroupindex
C2×#57102
C22×#8782
C3×#24802
#830932
#821092
#775942
#775802
#775672
#775652
#775462
#774772
#774362
#772902
#757082
#757072
#756652
#755152
#755112
#754632
#744222
#744212
#744182
#744122
#739102
#738832
#738472
#738292
#738182
#734912
#734662
#377233