Finite Group Databasebeta

← #11633162

Subgroups — #11633162

Order 768.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#552C211yesmaximal, characteristic, complemented
2C2×#5656C211yesmaximal, characteristic
3#83115C211yesmaximal, characteristic, complemented
4#83109C211yesmaximal, characteristic, complemented
5#83105C211yesmaximal, characteristic, complemented
6#83077C211yesmaximal, characteristic, complemented
7#83069C211yesmaximal, characteristic, complemented
8#83068C211yesmaximal, characteristic, complemented
9#83059C211yesmaximal, characteristic, complemented
10#83059C211yesmaximal, characteristic, complemented
11#83038C211yesmaximal, characteristic, complemented
12#83030C211yesmaximal, characteristic, complemented
13#82900C211yesmaximal, characteristic, complemented
14#82841C211yesmaximal, characteristic, complemented
15#82838C211yesmaximal, characteristic, complemented
16#82826C211yesmaximal, characteristic, complemented
17#82769C211yesmaximal, characteristic, complemented
18#82765C211yesmaximal, characteristic, complemented
19#82762C211yesmaximal, characteristic, complemented
20#82498C211yesmaximal, characteristic, complemented
21#82466C211yesmaximal, characteristic, complemented
22#82404C211yesmaximal, characteristic, complemented
23#82330C211yesmaximal, characteristic, complemented
24#82280C211yesmaximal, characteristic, complemented
25#82275C211yesmaximal, characteristic, complemented
26#82267C211yesmaximal, characteristic, complemented
27#82255C211yesmaximal, characteristic, complemented
28#82242C211yesmaximal, characteristic, complemented
29#82238C211yesmaximal, characteristic, complemented
30C2×#4989C211yesmaximal, characteristic, complemented
31#82170C211yesmaximal, characteristic, complemented
32#59008—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C3×#552—28no—
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#125C2211yescharacteristic, complemented
39C2×C3×#125C2211yescharacteristic, complemented
40C2×C3×#125C2211yescharacteristic, complemented
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×C22⋊Q8C2211yescharacteristic
44C2×C3×C22⋊Q8C2211yescharacteristic, complemented
45C2×C3×C4×Q8C2211yescharacteristic, complemented
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×#117C2211yescharacteristic
48C2×C3×#117C2211yescharacteristic
49C2×C3×#117C2211yescharacteristic, complemented
50C22×C3×C4⋊C4C2211yescharacteristic
51C2×#947C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×#929C2211yescharacteristic
55C2×#929C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C22×(C2×D3)⋊C4C2211yescharacteristic
58C22×(C2×D3)⋊C4C2211yescharacteristic
59C2×#926C2211yescharacteristic
60C22×Dic3⋊C4C2211yescharacteristic
61#5656—28no—
62C2×#896C2211yescharacteristic
63C2×#896C2211yescharacteristic
64C2×#893C2211yescharacteristic
65C2×#893C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#877C2211yescharacteristic
72#5231C2211yescharacteristic
73#5230C2211yescharacteristic, complemented
74#5229C2211yescharacteristic, complemented
75#5220C2211yescharacteristic
76#5213C2211yescharacteristic
77#5213C2211yescharacteristic
78#5213C2211yescharacteristic, complemented
79#5211C2211yescharacteristic
80#5210C2211yescharacteristic
81C2×C3⋊#95C2211yescharacteristic
82C2×C3⋊#95C2211yescharacteristic
83C2×C3⋊#95C2211yescharacteristic, complemented
84#4994C2211yescharacteristic
85#4994C2211yescharacteristic
86#4994C2211yescharacteristic
87#4994C2211yescharacteristic
88#4994C2211yescharacteristic, complemented
89#4994C2211yescharacteristic, complemented
90#4993C2211yescharacteristic
91#4993C2211yescharacteristic, complemented
92#4992C2211yescharacteristic
93#4992C2211yescharacteristic
94#4992C2211yescharacteristic, complemented
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4989C2211yescharacteristic
110#4989C2211yescharacteristic
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic
116#4987C2211yescharacteristic
117#4987C2211yescharacteristic
118#4987C2211yescharacteristic
119#4987C2211yescharacteristic
120#4987C2211yescharacteristic, complemented
121#4985C2211yescharacteristic, complemented
122#4985C2211yescharacteristic, complemented
123#4984C2211yescharacteristic, complemented
124#4983C2211yescharacteristic, complemented
125#4982C2211yescharacteristic, complemented
126#4982C2211yescharacteristic, complemented
127#4982C2211yescharacteristic, complemented
128#4982C2211yescharacteristic, complemented
129#4980C2211yescharacteristic, complemented
130#4980C2211yescharacteristic, complemented
131#4979C2211yescharacteristic, complemented
132#4979C2211yescharacteristic, complemented
133#4978C2211yescharacteristic, complemented
134#4978C2211yescharacteristic, complemented
135#4978C2211yescharacteristic, complemented
136#4978C2211yescharacteristic, complemented
137#4976C2211yescharacteristic, complemented
138#4976C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141Dic3×C4⋊C4C2211yescharacteristic, complemented
142#4973C2211yescharacteristic, complemented
143#4972C2211yescharacteristic, complemented
144#4959C2211yescharacteristic
145#4959C2211yescharacteristic
146#4959C2211yescharacteristic
147#4959C2211yescharacteristic
148#4959C2211yescharacteristic, complemented
149#4959C2211yescharacteristic, complemented
150#4958C2211yescharacteristic
151#4958C2211yescharacteristic
152#4958C2211yescharacteristic
153#4958C2211yescharacteristic
154#4958C2211yescharacteristic, complemented
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic
157#4951C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4950C2211yescharacteristic
160#4950C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4946C2211yescharacteristic, complemented
163#4943C2211yescharacteristic
164#4943C2211yescharacteristic
165#4943C2211yescharacteristic, complemented
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic
168Dic3×C22⋊C4C2211yescharacteristic
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic
171#4940C2211yescharacteristic
172#4940C2211yescharacteristic
173#4940C2211yescharacteristic
174#4940C2211yescharacteristic, complemented
175#4940C2211yescharacteristic, complemented
176#4939C2211yescharacteristic
177#4939C2211yescharacteristic
178C4×(C2×D3)⋊C4C2211yescharacteristic
179C4×(C2×D3)⋊C4C2211yescharacteristic
180C4×(C2×D3)⋊C4C2211yescharacteristic
181C4×(C2×D3)⋊C4C2211yescharacteristic
182C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
183#4933C2211yescharacteristic, complemented
184#4933C2211yescharacteristic, complemented
185#4933C2211yescharacteristic, complemented
186#4933C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189#4929C2211yescharacteristic, complemented
190C2×#552D311yescharacteristic, complemented
191C2×#525—31no—
192#2704—31no—
193#2691—31no—
194#2690—31no—
195#2672—31no—
196#2559—31no—
197#2556—31no—
198#2534—31no—
199#2498—31no—
200#2476—31no—
201#2472—31no—
202#2468—31no—
203#2466—31no—
204#2465—31no—
205#2460—31no—
206#2460—31no—
207#2454—31no—
208#2450—31no—
209#2438—31no—
210#2418—31no—
211#2413—31no—
212#2411—31no—
213#2406—31no—
214#2367—31no—
215#2359—31no—
216#2359—31no—
217#2344—31no—
218#2339—31no—
219C2×#385—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×#237—24no—
238C2×#237—24no—
239C2×#237—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3—24no—
243C22×C4×D3—24no—
244C22×C4×D3—42no—
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C3×#126—24no—
252C3×#126—24no—
253C3×#125—24no—
254C3×#125—24no—
255C3×#125—24no—
256C3×#123—24no—
257C3×#123D418yes—
258C3×C22⋊Q8—24no—
259C3×C22⋊Q8—24no—
260C3×C4×Q8—24no—
261C3×C4×D4—24no—
262C3×#117—24no—
263C3×#117—24no—
264C3×#117—24no—
265C2×C3×C4⋊C4—24no—
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301#947—24no—
302#937—24no—
303D4×Dic3—42no—
304#929—24no—
305#929—24no—
306#929—42no—
307C2×(C2×D3)⋊C4—24no—
308C2×(C2×D3)⋊C4—42no—
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339#926—42no—
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×Dic3⋊C4—24no—
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#896—24no—
370#896—24no—
371#893—24no—
372#893—24no—
373#884—24no—
374#884—24no—
375#882—24no—
376#67⋊C4—24no—
377#67⋊C4—24no—
378#877—24no—
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
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
417C22×#41—31no—
418C24×C4—31no—
419#552—28no—
420C2×#126C2×D311yescharacteristic, complemented
421C2×#126C2×D311yescharacteristic, complemented
422C2×#125C2×D311yescharacteristic, complemented
423C2×#125C2×D311yescharacteristic, complemented
424C2×#125C2×D311yescharacteristic, complemented
425C2×#124—31no—
426#525—68no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8C2×D311yescharacteristic
435C2×C22⋊Q8C2×D311yescharacteristic, complemented
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×C4×Q8C2×D311yescharacteristic, complemented
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4C2×D311yescharacteristic
447C2×#117—31no—
448C2×#117—31no—
449C2×#117C2×D311yescharacteristic
450C2×#117C2×D311yescharacteristic
451C2×#117C2×D311yescharacteristic, complemented
452C22×C4⋊C4—31no—
453C22×C4⋊C4C2×D311yescharacteristic
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#395—31no—
475#395—31no—
476#395—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#391—31no—
491#390—31no—
492#390—31no—
493#390—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—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#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#381—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4C2×D414yes—
592C22×C3×C4—22no—
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—41no—
602C22×C3×C4—41no—
603C22×C3×C4C2×D414yes—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3#4114yes—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657#237—416no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—41no—
663C2×D12—41no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—416no—
680C2×Dic6—22no—
681C2×Dic6—22no—
682C2×Dic6—41no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4C2×D414yes—
698C3×C4⋊C4C2×D414yes—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4C2×D414yes—
705C3×C22⋊C4C2×D414yes—
706C3×C22⋊C4C2×D414yes—
707C3×C42—22no—
708C3×C42—22no—
709C3×C42—22no—
710C3×C42—22no—
711C3×C42—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
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—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4#4114yescomplemented
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C2×#41—64no—
778C2×#41—64no—
779C2×#41—122no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4C22×D311yescharacteristic
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—64no—
800C23×C4—64no—
801C23×C4—122no—
802C23×C4C22×D311yescharacteristic
803C23×C4C22×D311yescharacteristic
804C23×C4C22×D311yescharacteristic
805C23×C4C22×D311yescharacteristic
806#126—24no—
807#126—24no—
808#125—24no—
809#125—24no—
810#125—24no—
811#124—64no—
812#123—24no—
813#123—64no—
814#123—64no—
815#123—122no—
816#123#6718yes—
817C22⋊Q8—24no—
818C22⋊Q8—24no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821#121—64no—
822#121—64no—
823#120—64no—
824#120—64no—
825C4×Q8—24no—
826C4×D4—24no—
827C4×D4—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—122no—
832#117—24no—
833#117—24no—
834#117—24no—
835#117—64no—
836#117—122no—
837C2×C4⋊C4—24no—
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×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—64no—
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
913C2×C22⋊C4—122no—
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42C22×D311yescharacteristic
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
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#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—
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×C3C22×D412yes—
983C23×C3C22×D412yes—
984C23×C3C2×#4112yes—
985C23×C3H(5,𝔽2)12yes—
986C23×C3C2511yescharacteristic
987C22×D3—28no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3C2×#4112yes—
1014C22×D32−1+412yes—
1015C3×Q8—44no—
1016C3×D4—28no—
1017C2×C3×C4—28no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—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—44no—
1052C2×C3×C4—44no—
1053C2×C3×C4—44no—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C2×#4112yes—
1060#67—44no—
1061#67—44no—
1062#67—44no—
1063#67—44no—
1064C2×Dic3—28no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
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—44no—
1102C2×Dic3—44no—
1103C2×Dic3—82no—
1104C2×Dic3—82no—
1105C2×Dic3C2×#4112yes—
1106C2×Dic3C2×#4112yes—
1107C2×Dic3C2×#4112yes—
1108D12—44no—
1109D12—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115Dic6—44no—
1116C24—31no—
1117C24—31no—
1118C24—31no—
1119C24—62no—
1120C24—62no—
1121C24—62no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24C23×D311yescharacteristic
1127C24C23×D311yescharacteristic
1128#41—1216no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—41no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—121no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4C2×#6714yes—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—34no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—1216no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4C2×#6714yes—
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4C2×#6714yes—
1261C4⋊C4C2×#6714yes—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—34no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4C2×#6714yes—
1304C22⋊C4C2×#6714yes—
1305C22⋊C4C2×#6714yes—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—62no—
1312C42—62no—
1313C42—62no—
1314C42—121no—
1315C42—121no—
1316C42—121no—
1317C42—121no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3#54614yes—
1332C22×C3C23×D411yescharacteristic
1333C22×C3C22×#4111yescharacteristic
1334C22×C3C22×#4111yescharacteristic
1335C22×C3C2×H(5,𝔽2)11yescharacteristic
1336C22×C3C2×2−1+411yescharacteristic
1337C22×C3#58511yescharacteristic
1338C22×C3#58511yescharacteristic
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—416no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—22no—
1364C3×C4—22no—
1365C3×C4—22no—
1366C3×C4—22no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374Dic3—22no—
1375Dic3—22no—
1376Dic3—22no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—32no—
1398C23—32no—
1399C23—68no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23—124no—
1425C23D3×#4112yes—
1426C23#100912yes—
1427C23C22×#6712yes—
1428C23C22×#6712yes—
1429C23C24×D311yescharacteristic
1430Q8—44no—
1431Q8—124no—
1432D4—28no—
1433D4—124no—
1434D4—124no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—32no—
1474C2×C4—32no—
1475C2×C4—32no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—68no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—124no—
1522C2×C4—124no—
1523C2×C4—242no—
1524C2×C4—242no—
1525C2×C4D3×#4112yes—
1526C2×C4C22×#6712yes—
1527C2×C4C22×#6712yes—
1528C2×C4C22×#6712yes—
1529C2×C4C22×#6712yes—
1530C2×C4C22×#6712yes—
1531C2×C3—24no—
1532C2×C3—42no—
1533C2×C3C2×#54611yescharacteristic
1534C2×C3D4×#4111yescharacteristic
1535C2×C3#347511yescharacteristic
1536C2×C3#348911yescharacteristic
1537C2×C3#349211yescharacteristic
1538C2×C3#349511yescharacteristic
1539C2×C3#353311yescharacteristic
1540D3—42no—
1541D3—42no—
1542D3—81no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—62no—
1557C22—62no—
1558C22—62no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—1216no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22#582914yes—
1579C22C2×D3×#4111yescharacteristic
1580C22C2×D3×#4111yescharacteristic
1581C22C2×#100911yescharacteristic
1582C22#596411yescharacteristic
1583C22D3×2−1+411yescharacteristic
1584C22#596811yescharacteristic
1585C22C23×#6711yescharacteristic
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—62no—
1600C4—62no—
1601C4—62no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C3#5900811yescharacteristic, complemented, Sylow
1613C2—24no—
1614C2—42no—
1615C2—122no—
1616C2—122no—
1617C2—241no—
1618C2#8682611yescharacteristic
1619C2#8682911yescharacteristic
1620C2#8686011yescharacteristic
1621C2#8686411yescharacteristic
1622C2C2×#582911yescharacteristic
1623C2#41×#6711yescharacteristic
1624C2#8729511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#552C2
prime radicalC2×#5656C2
hypercenterC2×#552D3
hypocenterC3#59008
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. C2×C3×#552C2semidirect
3. #83115C2semidirect
4. #83109C2semidirect
5. #83105C2semidirect
6. #83077C2semidirect
7. #83069C2semidirect
8. #83068C2semidirect
9. #83059C2semidirect
10. #83059C2semidirect
11. #83038C2semidirect
12. #83030C2semidirect
13. #82900C2semidirect
14. #82841C2semidirect
15. #82838C2semidirect
16. #82826C2semidirect
17. #82769C2semidirect
18. #82765C2semidirect
19. #82762C2semidirect
20. #82498C2semidirect
21. #82466C2semidirect
22. #82404C2semidirect
23. #82330C2semidirect
24. #82280C2semidirect
25. #82275C2semidirect
26. #82267C2semidirect
27. #82255C2semidirect
28. #82242C2semidirect
29. #82238C2semidirect
30. C2×#4989C2semidirect
31. #82170C2semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×#126C22semidirect
38. C2×C3×#125C22semidirect
39. C2×C3×#125C22semidirect
40. C2×C3×#125C22semidirect
44. C2×C3×C22⋊Q8C22semidirect
45. C2×C3×C4×Q8C22semidirect
49. C2×C3×#117C22semidirect
73. #5230C22semidirect
74. #5229C22semidirect
78. #5213C22semidirect
83. C2×C3⋊#95C22semidirect
88. #4994C22semidirect
89. #4994C22semidirect
91. #4993C22semidirect
94. #4992C22semidirect
103. #4990C22semidirect
104. #4990C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
120. #4987C22semidirect
121. #4985C22semidirect
122. #4985C22semidirect
123. #4984C22semidirect
124. #4983C22semidirect
125. #4982C22semidirect
126. #4982C22semidirect
127. #4982C22semidirect
128. #4982C22semidirect
129. #4980C22semidirect
130. #4980C22semidirect
131. #4979C22semidirect
132. #4979C22semidirect
133. #4978C22semidirect
134. #4978C22semidirect
135. #4978C22semidirect
136. #4978C22semidirect
137. #4976C22semidirect
138. #4976C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. Dic3×C4⋊C4C22semidirect
142. #4973C22semidirect
143. #4972C22semidirect
148. #4959C22semidirect
149. #4959C22semidirect
154. #4958C22semidirect
157. #4951C22semidirect
158. #4951C22semidirect
160. #4950C22semidirect
161. #4946C22semidirect
162. #4946C22semidirect
165. #4943C22semidirect
169. Dic3×C22⋊C4C22semidirect
174. #4940C22semidirect
175. #4940C22semidirect
182. C4×(C2×D3)⋊C4C22semidirect
183. #4933C22semidirect
184. #4933C22semidirect
185. #4933C22semidirect
186. #4933C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. #4929C22semidirect
190. C2×#552D3semidirect
420. C2×#126C2×D3semidirect
421. C2×#126C2×D3semidirect
422. C2×#125C2×D3semidirect
423. C2×#125C2×D3semidirect
424. C2×#125C2×D3semidirect
435. C2×C22⋊Q8C2×D3semidirect
440. C2×C4×Q8C2×D3semidirect
451. C2×#117C2×D3semidirect
747. (C2×D3)⋊C4#41semidirect
1612. C3#59008semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5522
C2×#56562
#831152
#831092
#831052
#830772
#830692
#830682
#830592
#830382
#830302
#829002
#828412
#828382
#828262
#827692
#827652
#827622
#824982
#824662
#824042
#823302
#822802
#822752
#822672
#822552
#822422
#822382
C2×#49892
#821702
#590083