Finite Group Databasebeta

← #11069730

Subgroups — #11069730

Order 768.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#542C211yesmaximal, characteristic, complemented
2C2×#5657C211yesmaximal, characteristic, complemented
3#83265C211yesmaximal, characteristic, complemented
4#83258C211yesmaximal, characteristic, complemented
5#83115C211yesmaximal, characteristic, complemented
6#83108C211yesmaximal, characteristic, complemented
7#83100C211yesmaximal, characteristic, complemented
8#83086C211yesmaximal, characteristic, complemented
9#83005C211yesmaximal, characteristic, complemented
10#83003C211yesmaximal, characteristic, complemented
11#82996C211yesmaximal, characteristic, complemented
12#82987C211yesmaximal, characteristic, complemented
13#82975C211yesmaximal, characteristic, complemented
14#82968C211yesmaximal, characteristic, complemented
15#82896C211yesmaximal, characteristic, complemented
16#82862C211yesmaximal, characteristic, complemented
17Dic3×#123C211yesmaximal, characteristic, complemented
18#82823C211yesmaximal, characteristic, complemented
19#82818C211yesmaximal, characteristic, complemented
20#82809C211yesmaximal, characteristic, complemented
21#82799C211yesmaximal, characteristic, complemented
22#82783C211yesmaximal, characteristic, complemented
23#82769C211yesmaximal, characteristic, complemented
24#82706C211yesmaximal, characteristic, complemented
25#82688C211yesmaximal, characteristic, complemented
26#82473C211yesmaximal, characteristic, complemented
27#82466C211yesmaximal, characteristic, complemented
28#82422C211yesmaximal, characteristic, complemented
29C4×#939C211yesmaximal, characteristic, complemented
30#82271C211yesmaximal, characteristic, complemented
31#82250C211yesmaximal, characteristic, complemented
32#39389—31nomaximal, Sylow
33C3×#542—28no—
34C2×C3×C4⋊Q8C2211yescharacteristic, complemented
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic
38C2×C3×#124C2211yescharacteristic
39C2×C3×#124C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×C22⋊Q8C2211yescharacteristic
43C2×C3×C22⋊Q8C2211yescharacteristic, complemented
44C2×C3×C22⋊Q8C2211yescharacteristic, complemented
45C2×C3×#121C2211yescharacteristic
46C2×C3×C4×Q8C2211yescharacteristic, complemented
47C2×C3×C4×D4C2211yescharacteristic, complemented
48C2×C3×#117C2211yescharacteristic
49C2×#947C2211yescharacteristic
50C2×#947C2211yescharacteristic
51C2×#946C2211yescharacteristic, complemented
52C2×#939C2211yescharacteristic
53C2×#938C2211yescharacteristic
54C2×#937C2211yescharacteristic
55C2×#937C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×#930C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic
61C22×C4×Dic3C2211yescharacteristic, complemented
62#5657—28no—
63C2×#898C2211yescharacteristic
64C2×#897C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×#885C2211yescharacteristic
68C2×#885C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic
73#5231C2211yescharacteristic
74#5231C2211yescharacteristic
75#5231C2211yescharacteristic
76#5231C2211yescharacteristic
77#5230C2211yescharacteristic, complemented
78#5230C2211yescharacteristic, complemented
79#5229C2211yescharacteristic, complemented
80#5229C2211yescharacteristic, complemented
81#5229C2211yescharacteristic, complemented
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic, complemented
85#5222C2211yescharacteristic
86#5220C2211yescharacteristic
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic, complemented
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic, complemented
92#5211C2211yescharacteristic
93#5211C2211yescharacteristic, complemented
94#5210C2211yescharacteristic
95C4×#217C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic
99#4992C2211yescharacteristic
100#4992C2211yescharacteristic, complemented
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4990C2211yescharacteristic
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic
116#4987C2211yescharacteristic
117#4986C2211yescharacteristic, complemented
118#4986C2211yescharacteristic, complemented
119#4983C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4980C2211yescharacteristic, complemented
123#4979C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125#4978C2211yescharacteristic, complemented
126#4978C2211yescharacteristic, complemented
127#4977C2211yescharacteristic, complemented
128#4976C2211yescharacteristic, complemented
129Dic3×C4⋊C4C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131#4973C2211yescharacteristic, complemented
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4959C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic, complemented
142#4958C2211yescharacteristic
143#4958C2211yescharacteristic
144#4958C2211yescharacteristic
145#4958C2211yescharacteristic
146#4958C2211yescharacteristic, complemented
147#4958C2211yescharacteristic, complemented
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic, complemented
153#4955C2211yescharacteristic
154#4955C2211yescharacteristic
155#4953C2211yescharacteristic, complemented
156#4952C2211yescharacteristic
157#4952C2211yescharacteristic
158#4952C2211yescharacteristic
159#4952C2211yescharacteristic, complemented
160#4952C2211yescharacteristic, complemented
161#4951C2211yescharacteristic
162#4951C2211yescharacteristic
163#4950C2211yescharacteristic, complemented
164#4949C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4942C2211yescharacteristic
170#4942C2211yescharacteristic, complemented
171Dic3×C22⋊C4C2211yescharacteristic
172Dic3×C22⋊C4C2211yescharacteristic
173Dic3×C22⋊C4C2211yescharacteristic, complemented
174#4940C2211yescharacteristic
175#4940C2211yescharacteristic
176#4940C2211yescharacteristic
177#4940C2211yescharacteristic
178#4940C2211yescharacteristic
179#4940C2211yescharacteristic, complemented
180#4940C2211yescharacteristic, complemented
181#4939C2211yescharacteristic
182C4×(C2×D3)⋊C4C2211yescharacteristic
183C4×(C2×D3)⋊C4C2211yescharacteristic
184C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
185#4933C2211yescharacteristic, complemented
186C4×Dic3⋊C4C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188#4929C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#542D311yescharacteristic, complemented
191C2×#538—31no—
192#2850—31no—
193#2723—31no—
194#2712—31no—
195#2698—31no—
196#2691—31no—
197#2688—31no—
198#2684—31no—
199#2674—31no—
200#2670—31no—
201#2638—31no—
202#2635—31no—
203#2560—31no—
204#2557—31no—
205#2555—31no—
206#2554—31no—
207#2521—31no—
208#2521—31no—
209#2492—31no—
210#2474—31no—
211#2472—31no—
212#2469—31no—
213#2463—31no—
214#2427—31no—
215#2424—31no—
216#2418—31no—
217#2367—31no—
218#2342—31no—
219C4×#123—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×C4⋊Q8—24no—
248C3×#126—24no—
249C3×#126—24no—
250C3×#124—24no—
251C3×#124—24no—
252C3×#124—24no—
253C3×#123—24no—
254C3×#123D418yescomplemented
255C3×C22⋊Q8—24no—
256C3×C22⋊Q8—24no—
257C3×C22⋊Q8—24no—
258C3×#121—24no—
259C3×C4×Q8—24no—
260C3×C4×D4—24no—
261C3×#117—24no—
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
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
301#947—24no—
302#947—42no—
303#946—42no—
304#939—24no—
305#938—24no—
306#937—24no—
307#937—42no—
308D4×Dic3—42no—
309#930—24no—
310C4×#67—24no—
311C4×#67—42no—
312C2×(C2×D3)⋊C4—24no—
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
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3—42no—
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#898—24no—
369#897—24no—
370#894—24no—
371#893—24no—
372#885—24no—
373#885—24no—
374#884—24no—
375#882—24no—
376D3×C22⋊C4—24no—
377#879—24no—
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
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#542—28no—
415#538—68no—
416C2×C4⋊Q8C2×D311yescharacteristic, complemented
417C2×#126—31no—
418C2×#126—31no—
419C2×#126C2×D311yescharacteristic, complemented
420C2×#126C2×D311yescharacteristic, complemented
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124C2×D311yescharacteristic
426C2×#124C2×D311yescharacteristic
427C2×#124C2×D311yescharacteristic, complemented
428C2×#123—31no—
429C2×#123C2×D311yescharacteristic
430C2×#123C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8C2×D311yescharacteristic
434C2×C22⋊Q8C2×D311yescharacteristic, complemented
435C2×C22⋊Q8C2×D311yescharacteristic, complemented
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121C2×D311yescharacteristic
441C2×#120—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×C4×Q8C2×D311yescharacteristic, complemented
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic, complemented
450C2×#117C2×D311yescharacteristic
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
472#395—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#393—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#393—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#389—31no—
505#389—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#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—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#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#379—31no—
559#379—31no—
560C4×C4⋊C4—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—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×Q8—22no—
585C2×C3×Q8—22no—
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—41no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4C2×D414yes—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4C2×D414yes—
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×Dic6—22no—
682C2×Dic6—41no—
683C2×Dic6—41no—
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⋊C4C2×D414yes—
693C3×C4⋊C4C2×D414yes—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4C2×D414yes—
704C3×C22⋊C4C2×D414yes—
705C3×C22⋊C4C2×D414yes—
706C3×C42—22no—
707C3×C42—22no—
708C3×C42—22no—
709C3×C42—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
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(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4#4114yes—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
780C22×Q8C22×D311yescharacteristic
781C22×Q8C22×D311yescharacteristic
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×D4C22×D311yescharacteristic
792C22×D4C22×D311yescharacteristic
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C4⋊Q8—24no—
804#126—24no—
805#126—24no—
806#126—64no—
807#126—64no—
808#124—24no—
809#124—24no—
810#124—24no—
811#124—64no—
812#124—64no—
813#124—64no—
814#124—122no—
815#123—24no—
816#123—64no—
817#123#6718yescomplemented
818C22⋊Q8—24no—
819C22⋊Q8—24no—
820C22⋊Q8—24no—
821C22⋊Q8—64no—
822C22⋊Q8—122no—
823#121—24no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—64no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—24no—
832C4×D4—24no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—122no—
836C4×D4—122no—
837#117—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⋊C4C22×D311yescharacteristic
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
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—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—64no—
907C2×C22⋊C4—64no—
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×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—122no—
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—
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×C3C22×D412yes—
990C23×C3C22×D412yes—
991C23×C3C2511yescharacteristic
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—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C2×#4112yes—
1020C3×Q8—44no—
1021C3×Q8—82no—
1022C3×Q8—82no—
1023C3×D4—44no—
1024C3×D4—44no—
1025C3×D4—82no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—44no—
1057C2×C3×C4—44no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C2×#4112yes—
1065#67—44no—
1066#67—44no—
1067#67—82no—
1068#67—82no—
1069#67—82no—
1070#67—82no—
1071#67—82no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—44no—
1110C2×Dic3—44no—
1111C2×Dic3—82no—
1112C2×Dic3C2×#4112yes—
1113C2×Dic3H(5,𝔽2)12yes—
1114D12—44no—
1115D12—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118C4×D3—82no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C24C23×D311yescharacteristic
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8—62no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
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×D4C2×#6714yes—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4C2×#6714yes—
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—121no—
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⋊C4C2×#6714yes—
1258C4⋊C4C2×#6714yes—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—34no—
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—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
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⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4C2×#6714yes—
1311C22⋊C4C2×#6714yes—
1312C22⋊C4C2×#6714yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—121no—
1323C42—121no—
1324C42—121no—
1325C42—121no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3C23×D411yescharacteristic
1348C22×C3C22×#4111yescharacteristic
1349C22×C3C2×H(5,𝔽2)11yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C22×C3#58511yescharacteristic
1353C22×C3#58511yescharacteristic
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—88no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—22no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23C22×#6712yes—
1449C23C22×#6712yes—
1450C23C24×D311yescharacteristic
1451Q8—44no—
1452Q8—82no—
1453Q8—82no—
1454Q8—242no—
1455D4—44no—
1456D4—44no—
1457D4—82no—
1458D4—124no—
1459D4—124no—
1460D4—124no—
1461D4—242no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465D4—242no—
1466D4—242no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—82no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4D3×#4112yes—
1546C2×C4C22×#6712yes—
1547C2×C4C22×#6712yes—
1548C2×C4C22×#6712yes—
1549C2×C4C22×#6712yes—
1550C2×C4C22×#6712yes—
1551C2×C3—42no—
1552C2×C3—42no—
1553C2×C3—81no—
1554C2×C3#345511yescharacteristic
1555C2×C3D4×#4111yescharacteristic
1556C2×C3#349611yescharacteristic
1557C2×C3#350011yescharacteristic
1558C2×C3#351311yescharacteristic
1559C2×C3#354011yescharacteristic
1560C2×C3#356811yescharacteristic
1561D3—42no—
1562D3—81no—
1563D3—81no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—248no—
1607C22C2×D3×#4111yescharacteristic
1608C22#596411yescharacteristic
1609C22D3×H(5,𝔽2)11yescharacteristic
1610C22#596611yescharacteristic
1611C22#596811yescharacteristic
1612C22#596811yescharacteristic
1613C22C23×#6711yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—62no—
1627C4—62no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C4—121no—
1638C4—121no—
1639C3#3938911yescharacteristic, complemented, Sylow
1640C2—42no—
1641C2—42no—
1642C2—81no—
1643C2—122no—
1644C2—241no—
1645C2—241no—
1646C2#8652311yescharacteristic
1647C2#8653011yescharacteristic
1648C2#8654811yescharacteristic
1649C2#8655311yescharacteristic
1650C2#41×#6711yescharacteristic
1651C2#8728111yescharacteristic
1652C2#8729311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#542C2
hypercenterC2×#542D3
hypocenterC3#39389
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×C3×#542C2semidirect
2. C2×#5657C2semidirect
3. #83265C2semidirect
4. #83258C2semidirect
5. #83115C2semidirect
6. #83108C2semidirect
7. #83100C2semidirect
8. #83086C2semidirect
9. #83005C2semidirect
10. #83003C2semidirect
11. #82996C2semidirect
12. #82987C2semidirect
13. #82975C2semidirect
14. #82968C2semidirect
15. #82896C2semidirect
16. #82862C2semidirect
17. Dic3×#123C2semidirect
18. #82823C2semidirect
19. #82818C2semidirect
20. #82809C2semidirect
21. #82799C2semidirect
22. #82783C2semidirect
23. #82769C2semidirect
24. #82706C2semidirect
25. #82688C2semidirect
26. #82473C2semidirect
27. #82466C2semidirect
28. #82422C2semidirect
29. C4×#939C2semidirect
30. #82271C2semidirect
31. #82250C2semidirect
34. C2×C3×C4⋊Q8C22semidirect
35. C2×C3×#126C22semidirect
36. C2×C3×#126C22semidirect
39. C2×C3×#124C22semidirect
43. C2×C3×C22⋊Q8C22semidirect
44. C2×C3×C22⋊Q8C22semidirect
46. C2×C3×C4×Q8C22semidirect
47. C2×C3×C4×D4C22semidirect
51. C2×#946C22semidirect
61. C22×C4×Dic3C22semidirect
77. #5230C22semidirect
78. #5230C22semidirect
79. #5229C22semidirect
80. #5229C22semidirect
81. #5229C22semidirect
84. #5223C22semidirect
88. #5220C22semidirect
91. #5213C22semidirect
93. #5211C22semidirect
95. C4×#217C22semidirect
97. #4994C22semidirect
100. #4992C22semidirect
109. #4990C22semidirect
110. #4990C22semidirect
114. #4989C22semidirect
117. #4986C22semidirect
118. #4986C22semidirect
119. #4983C22semidirect
120. #4982C22semidirect
121. #4980C22semidirect
122. #4980C22semidirect
123. #4979C22semidirect
124. #4978C22semidirect
125. #4978C22semidirect
126. #4978C22semidirect
127. #4977C22semidirect
128. #4976C22semidirect
129. Dic3×C4⋊C4C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. #4973C22semidirect
141. #4959C22semidirect
146. #4958C22semidirect
147. #4958C22semidirect
150. #4957C22semidirect
152. #4956C22semidirect
155. #4953C22semidirect
159. #4952C22semidirect
160. #4952C22semidirect
163. #4950C22semidirect
164. #4949C22semidirect
165. #4947C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4944C22semidirect
170. #4942C22semidirect
173. Dic3×C22⋊C4C22semidirect
179. #4940C22semidirect
180. #4940C22semidirect
184. C4×(C2×D3)⋊C4C22semidirect
185. #4933C22semidirect
186. C4×Dic3⋊C4C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. #4929C22semidirect
189. #4928C22semidirect
190. C2×#542D3semidirect
254. C3×#123D4semidirect
416. C2×C4⋊Q8C2×D3semidirect
419. C2×#126C2×D3semidirect
420. C2×#126C2×D3semidirect
427. C2×#124C2×D3semidirect
434. C2×C22⋊Q8C2×D3semidirect
435. C2×C22⋊Q8C2×D3semidirect
444. C2×C4×Q8C2×D3semidirect
449. C2×C4×D4C2×D3semidirect
817. #123#67semidirect
1639. C3#39389semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5422
C2×#56572
#832652
#832582
#831152
#831082
#831002
#830862
#830052
#830032
#829962
#829872
#829752
#829682
#828962
#828622
Dic3×#1232
#828232
#828182
#828092
#827992
#827832
#827692
#827062
#826882
#824732
#824662
#824222
C4×#9392
#822712
#822502
#393893