Finite Group Databasebeta

← #11043342

Subgroups — #11043342

Order 768.

2322 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#386C211yesmaximal, characteristic, complemented
2#84053C211yesmaximal, characteristic, complemented
3#84048C211yesmaximal, characteristic, complemented
4#84032C211yesmaximal, characteristic, complemented
5#84027C211yesmaximal, characteristic, complemented
6#82129C211yesmaximal, characteristic, complemented
7#82128C211yesmaximal, characteristic, complemented
8#82115C211yesmaximal, characteristic, complemented
9#82108C211yesmaximal, characteristic, complemented
10#82106C211yesmaximal, characteristic, complemented
11#82097C211yesmaximal, characteristic, complemented
12#74909C211yesmaximal, characteristic, complemented
13#74838C211yesmaximal, characteristic, complemented
14#74834C211yesmaximal, characteristic, complemented
15#74833C211yesmaximal, characteristic, complemented
16#74832C211yesmaximal, characteristic, complemented
17#74813C211yesmaximal, characteristic, complemented
18#74810C211yesmaximal, characteristic, complemented
19#74798C211yesmaximal, characteristic, complemented
20#74790C211yesmaximal, characteristic, complemented
21#74787C211yesmaximal, characteristic, complemented
22#74731C211yesmaximal, characteristic, complemented
23#74730C211yesmaximal, characteristic, complemented
24#74726C211yesmaximal, characteristic, complemented
25#74725C211yesmaximal, characteristic, complemented
26#74669C211yesmaximal, characteristic, complemented
27#74668C211yesmaximal, characteristic, complemented
28#73375C211yesmaximal, characteristic, complemented
29#73359C211yesmaximal, characteristic, complemented
30#73354C211yesmaximal, characteristic, complemented
31#73338C211yesmaximal, characteristic, complemented
32#38388—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic, complemented
50C2×#929C2211yescharacteristic
51C2×#929C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C2×#926C2211yescharacteristic
55C2×#926C2211yescharacteristic, complemented
56C2×#926C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic, complemented
58C2×#883C2211yescharacteristic, complemented
59C3×#386C2211yescharacteristic
60C3×#386C2211yescharacteristic
61C3×#386C2211yescharacteristic
62C3×#386C2211yescharacteristic
63C3×#386C2211yescharacteristic
64C3×#386C2211yescharacteristic
65C3×#386C2211yescharacteristic
66C3×#386C2211yescharacteristic
67C2×C3×#95C2211yescharacteristic
68C2×C3×#95C2211yescharacteristic
69#5247C2211yescharacteristic
70#5247C2211yescharacteristic
71#5247C2211yescharacteristic
72#5223C2211yescharacteristic
73#5223C2211yescharacteristic
74#5223C2211yescharacteristic
75#5223C2211yescharacteristic
76#5222C2211yescharacteristic
77#5222C2211yescharacteristic
78#5222C2211yescharacteristic
79#5222C2211yescharacteristic
80#5221C2211yescharacteristic
81#5221C2211yescharacteristic
82#5220C2211yescharacteristic
83#5220C2211yescharacteristic
84#5213C2211yescharacteristic
85#5213C2211yescharacteristic
86#5213C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic, complemented
89#5213C2211yescharacteristic, complemented
90#5213C2211yescharacteristic, complemented
91#5213C2211yescharacteristic, complemented
92#5212C2211yescharacteristic
93#5212C2211yescharacteristic
94#5212C2211yescharacteristic
95#5212C2211yescharacteristic
96#5212C2211yescharacteristic
97#5212C2211yescharacteristic, complemented
98#5212C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#5212C2211yescharacteristic, complemented
101#5211C2211yescharacteristic
102#5211C2211yescharacteristic, complemented
103#5211C2211yescharacteristic, complemented
104#5210C2211yescharacteristic
105#5210C2211yescharacteristic
106C4×#217C2211yescharacteristic
107C4×#217C2211yescharacteristic
108C4×#217C2211yescharacteristic, complemented
109C4×#217C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4953C2211yescharacteristic, complemented
131#4953C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4951C2211yescharacteristic, complemented
137#4951C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4950C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4949C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4945C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4943C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156#4677C2211yescharacteristic, complemented
157#4675C2211yescharacteristic, complemented
158#4674C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4666C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4664C2211yescharacteristic, complemented
170#4661C2211yescharacteristic, complemented
171#4661C2211yescharacteristic, complemented
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4660C2211yescharacteristic, complemented
175#4659C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#2847—31no—
189#2748—31no—
190#2743—31no—
191#2741—31no—
192#2740—31no—
193#2703—31no—
194#2699—31no—
195#2688—31no—
196#2671—31no—
197#2648—31no—
198#2648—31no—
199#2569—31no—
200#2539—31no—
201#2534—31no—
202#2498—31no—
203#2476—31no—
204#2476—31no—
205#2471—31no—
206#2471—31no—
207#2419—31no—
208#2418—31no—
209#2412—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2364—31no—
214#2342—31no—
215#2333—31no—
216#2333—31no—
217C2×#386D311yescharacteristic, complemented
218#2280—31no—
219C25×C3C2311yescharacteristic
220C25×C3C2311yescharacteristic
221C22×C3×D4—24no—
222C22×C3×D4—42no—
223C22×C3×D4—42no—
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4—24no—
229C23×C3×C4—42no—
230C23×C3×C4—42no—
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C2×C3×C22⋊C4—24no—
256C2×C3×C22⋊C4—42no—
257C2×C3×C22⋊C4—42no—
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
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
270#953—42no—
271#953—42no—
272#953—42no—
273#953—42no—
274C2×#217—42no—
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303#939—24no—
304#939—42no—
305#938—24no—
306#938—42no—
307#930—24no—
308#930—42no—
309#930—42no—
310#929—42no—
311#929—42no—
312C4×#67—42no—
313C4×#67—42no—
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
330#926—42no—
331#926—42no—
332#926—42no—
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×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#886—42no—
365#883—42no—
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
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
404C23×D4C2×D311yescharacteristic
405C24×C4C2×D311yescharacteristic
406C2×#123—31no—
407C2×#123—31no—
408C2×#123—31no—
409C2×#123—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#121—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×#117—31no—
424C2×#117—31no—
425C2×#117—31no—
426C22×C22⋊C4—31no—
427C22×C22⋊C4C2×D311yescharacteristic
428C22×C22⋊C4C2×D311yescharacteristic
429C22×C22⋊C4C2×D311yescharacteristic
430#400—31no—
431#400—31no—
432#400—31no—
433#400—31no—
434#399—31no—
435#399—31no—
436#399—31no—
437#399—31no—
438#398—31no—
439#398—31no—
440#398—31no—
441#398—31no—
442#397—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#396—31no—
449#396—31no—
450#396—31no—
451#396—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#392—31no—
465#392—31no—
466#392—31no—
467#392—31no—
468#392—31no—
469#392—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386C2×D311yescharacteristic
519#386C2×D311yescharacteristic
520#386C2×D311yescharacteristic
521#386C2×D311yescharacteristic
522#386C2×D311yescharacteristic
523#386C2×D311yescharacteristic
524#386C2×D311yescharacteristic
525#386C2×D311yescharacteristic
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#381—31no—
533#381—31no—
534#381—31no—
535#381—31no—
536#381—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C2×#95C2×D311yescharacteristic
558C2×#95C2×D311yescharacteristic
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—22no—
562C24×C3—22no—
563C24×C3—22no—
564C24×C3—22no—
565C24×C3—22no—
566C24×C3—22no—
567C24×C3—22no—
568C24×C3—41no—
569C24×C3—41no—
570C24×C3—41no—
571C24×C3—41no—
572C24×C3—41no—
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C24×C3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—416no—
592C2×C3×D4#4114yes—
593C22×C3×C4—22no—
594C22×C3×C4—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—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—416no—
620C22×C3×C4#4114yes—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C22×Dic3—22no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C2×D12—22no—
682C2×D12—41no—
683C2×D12—41no—
684C2×C4×D3—22no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
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—41no—
736(C2×D3)⋊C4—41no—
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—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759Dic3⋊C4—22no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769C4×Dic3—41no—
770C4×Dic3—41no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25C22×D311yescharacteristic
778C25C22×D311yescharacteristic
779C22×D4—24no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—42no—
792C22×D4—42no—
793C22×D4C22×D311yescharacteristic
794C22×D4C22×D311yescharacteristic
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C23×C4—24no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—42no—
803C23×C4—42no—
804C23×C4C22×D311yescharacteristic
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813#123—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#121—64no—
818#121—64no—
819#121—64no—
820#121—122no—
821#121—122no—
822#121—122no—
823#121—122no—
824#120—122no—
825#120—122no—
826#120—122no—
827#120—122no—
828C4×D4—122no—
829C4×D4—122no—
830#117—122no—
831#117—122no—
832#117—122no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
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×C22⋊C4—24no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
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—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—122no—
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
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#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—28no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
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—44no—
993C23×C3—44no—
994C23×C3—44no—
995C23×C3—44no—
996C23×C3—44no—
997C23×C3—44no—
998C23×C3—44no—
999C23×C3—44no—
1000C23×C3—44no—
1001C23×C3—44no—
1002C23×C3—82no—
1003C23×C3—82no—
1004C23×C3—82no—
1005C23×C3C2×#4112yes—
1006C23×C3C2×#4112yes—
1007C23×C3C2×#4112yes—
1008C23×C3H(5,𝔽2)12yes—
1009C23×C3H(5,𝔽2)12yes—
1010C23×C3H(5,𝔽2)12yes—
1011C23×C3C2511yescharacteristic
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—
1025C22×D3—21no—
1026C3×D4—44no—
1027C3×D4—44no—
1028C3×D4—44no—
1029C3×D4—44no—
1030C2×C3×C4—28no—
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—44no—
1058C2×C3×C4—44no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4—44no—
1063C2×C3×C4—44no—
1064C2×C3×C4—82no—
1065C2×C3×C4C2×#4112yes—
1066C2×C3×C4C2×#4112yes—
1067C2×C3×C4C2×#4112yes—
1068C2×C3×C4H(5,𝔽2)12yes—
1069#67—44no—
1070#67—44no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
1074#67—82no—
1075#67—82no—
1076#67—82no—
1077#67—82no—
1078#67—82no—
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—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—82no—
1122C2×Dic3—82no—
1123D12—82no—
1124C4×D3—82no—
1125C4×D3—82no—
1126C24—22no—
1127C24—22no—
1128C24—22no—
1129C24—22no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—22no—
1135C24—31no—
1136C24—31no—
1137C24—41no—
1138C24—41no—
1139C24—41no—
1140C24—41no—
1141C24—41no—
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—416no—
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—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4#23514yes—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—416no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4#23714yes—
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
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⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
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—121no—
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—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C42—121no—
1337C42—121no—
1338C42—121no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C42—121no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—416no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3—41no—
1374C22×C3—41no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—88no—
1380C22×C3#54014yes—
1381C22×C3C22×#4111yescharacteristic
1382C22×C3C22×#4111yescharacteristic
1383C22×C3C2×H(5,𝔽2)11yescharacteristic
1384C22×C3C2×H(5,𝔽2)11yescharacteristic
1385C22×C3C2×H(5,𝔽2)11yescharacteristic
1386C22×C3C2×H(5,𝔽2)11yescharacteristic
1387C22×C3#58511yescharacteristic
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—22no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—28no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—82no—
1481C23—82no—
1482C23—82no—
1483C23C2×#23512yes—
1484C23C2×#23512yes—
1485C23C2×#23712yes—
1486C23#100412yes—
1487C23#100412yes—
1488C23#100912yes—
1489C23C24×D311yescharacteristic
1490D4—44no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—124no—
1495D4—124no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
1499D4—242no—
1500D4—242no—
1501D4—242no—
1502D4—242no—
1503D4—242no—
1504D4—242no—
1505C2×C4—28no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—82no—
1582C2×C4—242no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4C2×#23512yes—
1587C2×C4C2×#23712yes—
1588C2×C4C2×#23712yes—
1589C2×C4#100412yes—
1590C2×C3—24no—
1591C2×C3—42no—
1592C2×C3—42no—
1593C2×C3—42no—
1594C2×C3—81no—
1595C2×C3C2×#54011yescharacteristic
1596C2×C3#347511yescharacteristic
1597C2×C3#349011yescharacteristic
1598C2×C3#349011yescharacteristic
1599C2×C3#351911yescharacteristic
1600C2×C3#353411yescharacteristic
1601C2×C3#354211yescharacteristic
1602D3—81no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—416no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—88no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22#561914yes—
1655C22C22×#23511yescharacteristic
1656C22C22×#23711yescharacteristic
1657C22C2×#100411yescharacteristic
1658C22C2×#100411yescharacteristic
1659C22C2×#100411yescharacteristic
1660C22C2×#100911yescharacteristic
1661C22#596411yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C3#3838811yescharacteristic, complemented, Sylow
1687C2—24no—
1688C2—42no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—241no—
1693C2—241no—
1694C2#8569711yescharacteristic
1695C2#8576411yescharacteristic
1696C2#8579011yescharacteristic
1697C2#8591311yescharacteristic
1698C2C2×#561911yescharacteristic
1699C2#8595611yescharacteristic
1700C2#8601711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#386C2
hypercenterC2×#386D3
hypocenterC3#38388
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×C3×#386C2semidirect
2. #84053C2semidirect
3. #84048C2semidirect
4. #84032C2semidirect
5. #84027C2semidirect
6. #82129C2semidirect
7. #82128C2semidirect
8. #82115C2semidirect
9. #82108C2semidirect
10. #82106C2semidirect
11. #82097C2semidirect
12. #74909C2semidirect
13. #74838C2semidirect
14. #74834C2semidirect
15. #74833C2semidirect
16. #74832C2semidirect
17. #74813C2semidirect
18. #74810C2semidirect
19. #74798C2semidirect
20. #74790C2semidirect
21. #74787C2semidirect
22. #74731C2semidirect
23. #74730C2semidirect
24. #74726C2semidirect
25. #74725C2semidirect
26. #74669C2semidirect
27. #74668C2semidirect
28. #73375C2semidirect
29. #73359C2semidirect
30. #73354C2semidirect
31. #73338C2semidirect
48. C2×#930C22semidirect
49. C2×#930C22semidirect
55. C2×#926C22semidirect
56. C2×#926C22semidirect
57. C2×#886C22semidirect
58. C2×#883C22semidirect
88. #5213C22semidirect
89. #5213C22semidirect
90. #5213C22semidirect
91. #5213C22semidirect
97. #5212C22semidirect
98. #5212C22semidirect
99. #5212C22semidirect
100. #5212C22semidirect
102. #5211C22semidirect
103. #5211C22semidirect
108. C4×#217C22semidirect
109. C4×#217C22semidirect
110. #4961C22semidirect
111. #4961C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4959C22semidirect
120. #4958C22semidirect
121. #4957C22semidirect
122. #4957C22semidirect
123. #4957C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4953C22semidirect
131. #4953C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
135. #4951C22semidirect
136. #4951C22semidirect
137. #4951C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4950C22semidirect
141. #4949C22semidirect
142. #4949C22semidirect
143. #4949C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4945C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4944C22semidirect
152. #4944C22semidirect
153. #4943C22semidirect
154. Dic3×C22⋊C4C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. #4677C22semidirect
157. #4675C22semidirect
158. #4674C22semidirect
159. #4674C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4668C22semidirect
165. #4666C22semidirect
166. #4666C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4664C22semidirect
170. #4661C22semidirect
171. #4661C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4660C22semidirect
175. #4659C22semidirect
176. #4658C22semidirect
177. #4657C22semidirect
178. #4655C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4654C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
217. C2×#386D3semidirect
1686. C3#38388semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3862
#840532
#840482
#840322
#840272
#821292
#821282
#821152
#821082
#821062
#820972
#749092
#748382
#748342
#748332
#748322
#748132
#748102
#747982
#747902
#747872
#747312
#747302
#747262
#747252
#746692
#746682
#733752
#733592
#733542
#733382
#383883