Finite Group Databasebeta

← #11029178

Subgroups — #11029178

Order 768.

2884 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#546C211yesmaximal, characteristic, complemented
2C2×#5806C211yesmaximal, characteristic, complemented
3#84091C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5C2×#5220C211yesmaximal, characteristic, complemented
6#82989C211yesmaximal, characteristic, complemented
7#82984C211yesmaximal, characteristic, complemented
8#82910C211yesmaximal, characteristic, complemented
9#82886C211yesmaximal, characteristic, complemented
10#82844C211yesmaximal, characteristic, complemented
11#82841C211yesmaximal, characteristic, complemented
12#82789C211yesmaximal, characteristic, complemented
13#82784C211yesmaximal, characteristic, complemented
14#82715C211yesmaximal, characteristic, complemented
15#82694C211yesmaximal, characteristic, complemented
16#82687C211yesmaximal, characteristic, complemented
17#82681C211yesmaximal, characteristic, complemented
18#82655C211yesmaximal, characteristic, complemented
19#82651C211yesmaximal, characteristic, complemented
20#82601C211yesmaximal, characteristic, complemented
21#82592C211yesmaximal, characteristic, complemented
22#82584C211yesmaximal, characteristic, complemented
23#82584C211yesmaximal, characteristic, complemented
24#82385C211yesmaximal, characteristic, complemented
25#82356C211yesmaximal, characteristic, complemented
26#82354C211yesmaximal, characteristic, complemented
27#82327C211yesmaximal, characteristic, complemented
28#82107C211yesmaximal, characteristic, complemented
29#82107C211yesmaximal, characteristic, complemented
30#82095C211yesmaximal, characteristic, complemented
31C2×#4942C211yesmaximal, characteristic, complemented
32#37860—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C24×Dic3C2211yescharacteristic
36C22×#237C2211yescharacteristic
37C3×#546—28no—
38C2×C3×#124C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×C22⋊Q8C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#120C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic
48C2×C3×C4×D4C2211yescharacteristic
49C22×C3×C22⋊C4C2211yescharacteristic
50C22×C3×C22⋊C4C2211yescharacteristic
51C2×#953C2211yescharacteristic
52C2×#953C2211yescharacteristic
53C22×#217C2211yescharacteristic
54C22×#217C2211yescharacteristic
55C22×#217C2211yescharacteristic
56C22×#217C2211yescharacteristic
57C22×#217C2211yescharacteristic
58#5806—28no—
59C2×#939C2211yescharacteristic
60C2×#939C2211yescharacteristic
61C2×#939C2211yescharacteristic
62C2×#939C2211yescharacteristic, complemented
63C2×#939C2211yescharacteristic, complemented
64C2×#938C2211yescharacteristic
65C2×#936C2211yescharacteristic
66C2×#935C2211yescharacteristic
67C2×#935C2211yescharacteristic
68C2×#935C2211yescharacteristic, complemented
69C2×#935C2211yescharacteristic, complemented
70C2×D4×Dic3C2211yescharacteristic
71C2×#929C2211yescharacteristic, complemented
72C2×#929C2211yescharacteristic, complemented
73C2×C4×#67C2211yescharacteristic
74C2×#924C2211yescharacteristic
75C22×Dic3⋊C4C2211yescharacteristic, complemented
76C22×Dic3⋊C4C2211yescharacteristic, complemented
77#5231C2211yescharacteristic, complemented
78#5230C2211yescharacteristic, complemented
79#5230C2211yescharacteristic, complemented
80#5230C2211yescharacteristic, complemented
81#5223C2211yescharacteristic, complemented
82#5223C2211yescharacteristic, complemented
83#5222C2211yescharacteristic, complemented
84#5222C2211yescharacteristic, complemented
85#5222C2211yescharacteristic, complemented
86#5222C2211yescharacteristic, complemented
87#5222C2211yescharacteristic, complemented
88#5222C2211yescharacteristic, complemented
89#5220C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5211C2211yescharacteristic, complemented
108#5211C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110#5210C2211yescharacteristic, complemented
111#5210C2211yescharacteristic, complemented
112#5210C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115#5210C2211yescharacteristic, complemented
116#5210C2211yescharacteristic, complemented
117#5210C2211yescharacteristic, complemented
118C2×C3⋊#95C2211yescharacteristic
119C2×C3⋊#95C2211yescharacteristic
120C2×C3⋊#95C2211yescharacteristic, complemented
121C2×C3⋊#95C2211yescharacteristic, complemented
122#4993C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4989C2211yescharacteristic, complemented
126#4986C2211yescharacteristic, complemented
127#4985C2211yescharacteristic, complemented
128#4983C2211yescharacteristic, complemented
129#4983C2211yescharacteristic, complemented
130#4981C2211yescharacteristic, complemented
131#4981C2211yescharacteristic, complemented
132#4979C2211yescharacteristic, complemented
133#4979C2211yescharacteristic, complemented
134#4979C2211yescharacteristic, complemented
135#4978C2211yescharacteristic, complemented
136#4978C2211yescharacteristic, complemented
137#4978C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4958C2211yescharacteristic
145#4958C2211yescharacteristic
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic, complemented
148#4958C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4952C2211yescharacteristic, complemented
155#4952C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4952C2211yescharacteristic, complemented
158#4952C2211yescharacteristic, complemented
159#4952C2211yescharacteristic, complemented
160#4949C2211yescharacteristic, complemented
161#4947C2211yescharacteristic, complemented
162#4946C2211yescharacteristic, complemented
163#4946C2211yescharacteristic, complemented
164#4946C2211yescharacteristic, complemented
165#4946C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4946C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4943C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4942C2211yescharacteristic
172#4942C2211yescharacteristic
173#4942C2211yescharacteristic
174#4942C2211yescharacteristic
175#4942C2211yescharacteristic
176#4942C2211yescharacteristic
177#4942C2211yescharacteristic
178#4942C2211yescharacteristic
179#4942C2211yescharacteristic
180#4942C2211yescharacteristic, complemented
181#4942C2211yescharacteristic, complemented
182#4942C2211yescharacteristic, complemented
183#4942C2211yescharacteristic, complemented
184#4942C2211yescharacteristic, complemented
185#4942C2211yescharacteristic, complemented
186#4940C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188#4933C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#546D311yescharacteristic, complemented
192#2847—31no—
193#2717—31no—
194#2717—31no—
195#2708—31no—
196#2708—31no—
197#2686—31no—
198#2686—31no—
199#2671—31no—
200#2671—31no—
201#2659—31no—
202#2617—31no—
203#2564—31no—
204#2564—31no—
205#2443—31no—
206#2443—31no—
207#2430—31no—
208#2430—31no—
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412—31no—
213#2412—31no—
214#2412—31no—
215#2406—31no—
216#2406—31no—
217#2325—31no—
218#2315—31no—
219C2×#386—31no—
220C2×#380—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C2×C3×#41—24no—
224C2×C3×#41—42no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4—42no—
228C22×C3×D4—42no—
229C22×C3×D4D418yescomplemented
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C23×Dic3—24no—
252C23×Dic3—42no—
253C23×Dic3—42no—
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C23×Dic3C2311yescharacteristic
266C2×#237—24no—
267C2×#237—42no—
268C2×#237—42no—
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#124—24no—
272C3×#123—24no—
273C3×#123—24no—
274C3×C22⋊Q8—24no—
275C3×#121—24no—
276C3×#121—24no—
277C3×#121—24no—
278C3×#120—24no—
279C3×#120—24no—
280C3×C4×D4—24no—
281C3×C4×D4—24no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4—24no—
287C2×C3×C22⋊C4—24no—
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301#953—24no—
302#953—24no—
303C2×#217—24no—
304C2×#217—24no—
305C2×#217—24no—
306C2×#217—42no—
307C2×#217—42no—
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338#939—24no—
339#939—24no—
340#939—24no—
341#939—42no—
342#939—42no—
343#938—24no—
344#936—24no—
345#935—24no—
346#935—24no—
347#935—42no—
348#935—42no—
349D4×Dic3—24no—
350#929—42no—
351#929—42no—
352C4×#67—24no—
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362#924—24no—
363C2×Dic3⋊C4—42no—
364C2×Dic3⋊C4—42no—
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C22×#41C2×D311yescharacteristic
428C23×D4C2×D311yescharacteristic
429C24×C4—31no—
430#546—28no—
431#546—68no—
432C2×#124—31no—
433C2×#124C2×D311yescharacteristic
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123C2×D311yescharacteristic
441C2×#123C2×D311yescharacteristic
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8C2×D311yescharacteristic
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121C2×D311yescharacteristic
451C2×#121C2×D311yescharacteristic
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120C2×D311yescharacteristic
456C2×#120C2×D311yescharacteristic
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4C2×D311yescharacteristic
460C2×C4×D4C2×D311yescharacteristic
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4C2×D311yescharacteristic
469C22×C22⋊C4C2×D311yescharacteristic
470#400—31no—
471#400—31no—
472#399—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#393—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#381—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579C2×#95—31no—
580C2×#95—31no—
581C2×#95—31no—
582C2×#95—31no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3C2×D414yes—
596C24×C3C2×D414yes—
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C3×#41—416no—
605C2×C3×Q8—22no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—416no—
632C2×C3×D4C2×D414yes—
633C2×C3×D4C2×D414yes—
634C2×C3×D4C2×D414yes—
635C2×C3×D4C2×D414yes—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4C2×D414yes—
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3—41no—
716C22×Dic3—416no—
717C22×Dic3#4114yescomplemented
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733#237—416no—
734C2×C4×D3—22no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×Dic6—22no—
738C2×Dic6—41no—
739C2×Dic6—41no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—22no—
743C3×C4⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—22no—
755C3×C22⋊C4—22no—
756C3×C42—22no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—41no—
779#217—41no—
780#217—41no—
781#217—41no—
782#217—41no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795C4⋊Dic3—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807Dic3⋊C4—41no—
808Dic3⋊C4—41no—
809Dic3⋊C4—41no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818C4×Dic3—22no—
819C25C22×D311yescharacteristic
820C25C22×D311yescharacteristic
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—64no—
825C2×#41—122no—
826C2×#41—122no—
827C22×Q8—31no—
828C22×Q8C22×D311yescharacteristic
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4#6718yescomplemented
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C22×D4C22×D311yescharacteristic
841C22×D4C22×D311yescharacteristic
842C22×D4C22×D311yescharacteristic
843C22×D4C22×D311yescharacteristic
844C22×D4C22×D311yescharacteristic
845C22×D4C22×D311yescharacteristic
846C22×D4C22×D311yescharacteristic
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—64no—
861C23×C4—122no—
862C23×C4—122no—
863C23×C4C22×D311yescharacteristic
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C23×C4C22×D311yescharacteristic
869#124—24no—
870#124—64no—
871#123—24no—
872#123—24no—
873#123—64no—
874#123—64no—
875#123—122no—
876#123—122no—
877#123—122no—
878#123—122no—
879C22⋊Q8—24no—
880C22⋊Q8—64no—
881#121—24no—
882#121—24no—
883#121—24no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—122no—
889#121—122no—
890#120—24no—
891#120—24no—
892#120—64no—
893#120—64no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—64no—
897C4×D4—64no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—122no—
922C2×C4⋊C4—122no—
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C22⋊C4—24no—
928C2×C22⋊C4—24no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—64no—
968C2×C22⋊C4—64no—
969C2×C22⋊C4—64no—
970C2×C22⋊C4—122no—
971C2×C22⋊C4—122no—
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C42—31no—
985C2×C42C22×D311yescharacteristic
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—28no—
1033C23×C3—28no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—28no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—44no—
1061C23×C3—44no—
1062C23×C3—44no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—44no—
1066C23×C3—44no—
1067C23×C3—82no—
1068C23×C3—82no—
1069C23×C3—82no—
1070C23×C3—82no—
1071C23×C3C22×D412yes—
1072C23×C3C22×D412yes—
1073C23×C3C22×D412yes—
1074C23×C3C22×D412yes—
1075C23×C3C22×D412yes—
1076C23×C3C2×#4112yes—
1077C23×C3H(5,𝔽2)12yes—
1078C23×C3H(5,𝔽2)12yes—
1079C23×C32−1+412yes—
1080C23×C3C2511yescharacteristic
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C3×Q8—44no—
1089C3×D4—28no—
1090C3×D4—28no—
1091C3×D4—44no—
1092C3×D4—44no—
1093C3×D4—44no—
1094C3×D4—44no—
1095C3×D4—44no—
1096C3×D4—82no—
1097C3×D4—82no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—44no—
1124C2×C3×C4—44no—
1125C2×C3×C4—44no—
1126C2×C3×C4—44no—
1127C2×C3×C4—82no—
1128C2×C3×C4—82no—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131#67—44no—
1132#67—44no—
1133#67—44no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137C2×Dic3—28no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—44no—
1181C2×Dic3—44no—
1182C2×Dic3—44no—
1183C2×Dic3—44no—
1184C2×Dic3—44no—
1185C2×Dic3—44no—
1186C2×Dic3—44no—
1187C2×Dic3—82no—
1188C2×Dic3—82no—
1189C2×Dic3—82no—
1190C2×Dic3—82no—
1191C2×Dic3C2×#4112yes—
1192C2×Dic3C2×#4112yes—
1193C2×Dic3H(5,𝔽2)12yes—
1194C4×D3—44no—
1195Dic6—44no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—31no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24C2×#6714yes—
1210C24C2×#6714yes—
1211C24C23×D311yescharacteristic
1212C24C23×D311yescharacteristic
1213C24C23×D311yescharacteristic
1214C24C23×D311yescharacteristic
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217#41—416no—
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—121no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—416no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4C2×#6714yes—
1268C2×D4C2×#6714yes—
1269C2×D4C2×#6714yes—
1270C2×D4C2×#6714yes—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—31no—
1281C22×C4—34no—
1282C22×C4—31no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
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—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
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—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—1216no—
1343C22×C4C2×#6714yes—
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4—121no—
1377C4⋊C4—121no—
1378C4⋊C4—121no—
1379C4⋊C4—121no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C42—22no—
1431C42—62no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—416no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—88no—
1474C22×C3#53414yes—
1475C22×C3#54714yes—
1476C22×C3C23×D411yescharacteristic
1477C22×C3C22×#4111yescharacteristic
1478C22×C3C2×H(5,𝔽2)11yescharacteristic
1479C22×C3C2×H(5,𝔽2)11yescharacteristic
1480C22×C3C2×H(5,𝔽2)11yescharacteristic
1481C22×C3C2×2−1+411yescharacteristic
1482C22×C3#58511yescharacteristic
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C3×C4—22no—
1491C3×C4—22no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499Dic3—22no—
1500Dic3—22no—
1501Dic3—22no—
1502Dic3—41no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—28no—
1541C23—28no—
1542C23—28no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23#100412yes—
1569C23#100412yes—
1570C23D3×#4112yes—
1571C23#101012yes—
1572C23C22×#6712yes—
1573C23C22×#6712yes—
1574C23C22×#6712yes—
1575C23C22×#6712yes—
1576C23C22×#6712yes—
1577C23C24×D311yescharacteristic
1578Q8—44no—
1579Q8—124no—
1580D4—28no—
1581D4—28no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—82no—
1588D4—82no—
1589D4—124no—
1590D4—124no—
1591D4—124no—
1592D4—242no—
1593D4—242no—
1594D4—242no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—32no—
1621C2×C4—32no—
1622C2×C4—32no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—68no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—82no—
1671C2×C4—82no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—124no—
1680C2×C4—242no—
1681C2×C4—242no—
1682C2×C4—242no—
1683C2×C4—242no—
1684C2×C4C22×#6712yes—
1685C2×C4C22×#6712yes—
1686C2×C3—24no—
1687C2×C3—24no—
1688C2×C3—42no—
1689C2×C3—42no—
1690C2×C3—42no—
1691C2×C3—81no—
1692C2×C3C2×#53411yescharacteristic
1693C2×C3C2×#54711yescharacteristic
1694C2×C3#349011yescharacteristic
1695C2×C3#349411yescharacteristic
1696C2×C3#349611yescharacteristic
1697C2×C3#353511yescharacteristic
1698C2×C3#353611yescharacteristic
1699D3—81no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—88no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22#580414yes—
1750C22#582414yes—
1751C22C2×#100411yescharacteristic
1752C22C2×#100411yescharacteristic
1753C22C2×D3×#4111yescharacteristic
1754C22C2×#101011yescharacteristic
1755C22D3×H(5,𝔽2)11yescharacteristic
1756C22#596611yescharacteristic
1757C22C23×#6711yescharacteristic
1758C4—22no—
1759C4—22no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—62no—
1768C4—62no—
1769C4—62no—
1770C4—121no—
1771C4—121no—
1772C4—121no—
1773C4—121no—
1774C4—121no—
1775C4—121no—
1776C4—121no—
1777C4—121no—
1778C4—121no—
1779C4—121no—
1780C4—121no—
1781C4—121no—
1782C3#3786011yescharacteristic, complemented, Sylow
1783C2—24no—
1784C2—24no—
1785C2—42no—
1786C2—42no—
1787C2—42no—
1788C2—81no—
1789C2—241no—
1790C2#8663111yescharacteristic
1791C2#8664611yescharacteristic
1792C2#8664711yescharacteristic
1793C2#8666411yescharacteristic
1794C2C2×#580411yescharacteristic
1795C2C2×#582411yescharacteristic
1796C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#546C2
hypercenterC2×#546D3
hypocenterC3#37860
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C2×C3×#546C2semidirect
2. C2×#5806C2semidirect
3. #84091C2semidirect
4. #84090C2semidirect
5. C2×#5220C2semidirect
6. #82989C2semidirect
7. #82984C2semidirect
8. #82910C2semidirect
9. #82886C2semidirect
10. #82844C2semidirect
11. #82841C2semidirect
12. #82789C2semidirect
13. #82784C2semidirect
14. #82715C2semidirect
15. #82694C2semidirect
16. #82687C2semidirect
17. #82681C2semidirect
18. #82655C2semidirect
19. #82651C2semidirect
20. #82601C2semidirect
21. #82592C2semidirect
22. #82584C2semidirect
23. #82584C2semidirect
24. #82385C2semidirect
25. #82356C2semidirect
26. #82354C2semidirect
27. #82327C2semidirect
28. #82107C2semidirect
29. #82107C2semidirect
30. #82095C2semidirect
31. C2×#4942C2semidirect
62. C2×#939C22semidirect
63. C2×#939C22semidirect
68. C2×#935C22semidirect
69. C2×#935C22semidirect
71. C2×#929C22semidirect
72. C2×#929C22semidirect
75. C22×Dic3⋊C4C22semidirect
76. C22×Dic3⋊C4C22semidirect
77. #5231C22semidirect
78. #5230C22semidirect
79. #5230C22semidirect
80. #5230C22semidirect
81. #5223C22semidirect
82. #5223C22semidirect
83. #5222C22semidirect
84. #5222C22semidirect
85. #5222C22semidirect
86. #5222C22semidirect
87. #5222C22semidirect
88. #5222C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5211C22semidirect
108. #5211C22semidirect
109. #5210C22semidirect
110. #5210C22semidirect
111. #5210C22semidirect
112. #5210C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
115. #5210C22semidirect
116. #5210C22semidirect
117. #5210C22semidirect
120. C2×C3⋊#95C22semidirect
121. C2×C3⋊#95C22semidirect
122. #4993C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
125. #4989C22semidirect
126. #4986C22semidirect
127. #4985C22semidirect
128. #4983C22semidirect
129. #4983C22semidirect
130. #4981C22semidirect
131. #4981C22semidirect
132. #4979C22semidirect
133. #4979C22semidirect
134. #4979C22semidirect
135. #4978C22semidirect
136. #4978C22semidirect
137. #4978C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
147. #4958C22semidirect
148. #4958C22semidirect
149. #4956C22semidirect
150. #4952C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
153. #4952C22semidirect
154. #4952C22semidirect
155. #4952C22semidirect
156. #4952C22semidirect
157. #4952C22semidirect
158. #4952C22semidirect
159. #4952C22semidirect
160. #4949C22semidirect
161. #4947C22semidirect
162. #4946C22semidirect
163. #4946C22semidirect
164. #4946C22semidirect
165. #4946C22semidirect
166. #4946C22semidirect
167. #4946C22semidirect
168. #4944C22semidirect
169. #4943C22semidirect
170. #4943C22semidirect
180. #4942C22semidirect
181. #4942C22semidirect
182. #4942C22semidirect
183. #4942C22semidirect
184. #4942C22semidirect
185. #4942C22semidirect
186. #4940C22semidirect
187. #4933C22semidirect
188. #4933C22semidirect
189. #4933C22semidirect
191. C2×#546D3semidirect
229. C22×C3×D4D4semidirect
717. C22×Dic3#41semidirect
837. C22×D4#67semidirect
1782. C3#37860semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5462
C2×#58062
#840912
#840902
C2×#52202
#829892
#829842
#829102
#828862
#828442
#828412
#827892
#827842
#827152
#826942
#826872
#826812
#826552
#826512
#826012
#825922
#825842
#823852
#823562
#823542
#823272
#821072
#820952
C2×#49422
#378603