Finite Group Databasebeta

← #11097774

Subgroups — #11097774

Order 768.

2616 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic, complemented
3C3×#2557C211yesmaximal, characteristic, complemented
4#82975C211yesmaximal, characteristic, complemented
5#82845C211yesmaximal, characteristic, complemented
6#77729C211yesmaximal, characteristic, complemented
7#77726C211yesmaximal, characteristic, complemented
8#77587C211yesmaximal, characteristic, complemented
9#77568C211yesmaximal, characteristic, complemented
10#76873C211yesmaximal, characteristic, complemented
11#76814C211yesmaximal, characteristic, complemented
12#76760C211yesmaximal, characteristic, complemented
13#76713C211yesmaximal, characteristic, complemented
14#76649C211yesmaximal, characteristic, complemented
15#76640C211yesmaximal, characteristic, complemented
16#76463C211yesmaximal, characteristic, complemented
17#76311C211yesmaximal, characteristic, complemented
18#75645C211yesmaximal, characteristic, complemented
19#75504C211yesmaximal, characteristic, complemented
20#75377C211yesmaximal, characteristic, complemented
21#75330C211yesmaximal, characteristic, complemented
22#74905C211yesmaximal, characteristic, complemented
23#74893C211yesmaximal, characteristic, complemented
24#74888C211yesmaximal, characteristic, complemented
25#74800C211yesmaximal, characteristic, complemented
26#74793C211yesmaximal, characteristic, complemented
27#74688C211yesmaximal, characteristic, complemented
28#73596C211yesmaximal, characteristic, complemented
29#73591C211yesmaximal, characteristic, complemented
30#73580C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#40498—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#946C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic
52#5678—28no—
53#5654—28no—
54C2×#896C2211yescharacteristic
55C2×#895C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic, complemented
63C2×#883C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#876C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic, complemented
76C2×C4×D12C2211yescharacteristic, complemented
77C2×#872C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#393C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#391C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×C4×C22⋊C4C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5230C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5222C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96#5210C2211yescharacteristic, complemented
97#5210C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4976C2211yescharacteristic, complemented
104#4976C2211yescharacteristic, complemented
105#4975C2211yescharacteristic, complemented
106#4961C2211yescharacteristic
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic, complemented
110#4960C2211yescharacteristic
111#4960C2211yescharacteristic
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4960C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4958C2211yescharacteristic
124#4958C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4957C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4946C2211yescharacteristic, complemented
135#4946C2211yescharacteristic, complemented
136#4946C2211yescharacteristic, complemented
137#4946C2211yescharacteristic, complemented
138#4945C2211yescharacteristic, complemented
139#4942C2211yescharacteristic, complemented
140#4942C2211yescharacteristic, complemented
141Dic3×C22⋊C4C2211yescharacteristic, complemented
142#4940C2211yescharacteristic
143#4940C2211yescharacteristic
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4676C2211yescharacteristic, complemented
153#4676C2211yescharacteristic, complemented
154#4676C2211yescharacteristic, complemented
155#4675C2211yescharacteristic
156#4675C2211yescharacteristic
157#4675C2211yescharacteristic, complemented
158#4675C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4669C2211yescharacteristic
174#4669C2211yescharacteristic
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2815—31no—
193#2812—31no—
194#2715—31no—
195#2700—31no—
196#2691—31no—
197#2680—31no—
198#2678—31no—
199#2676—31no—
200#2675—31no—
201#2670—31no—
202#2638—31no—
203#2630—31no—
204#2620—31no—
205#2617—31no—
206#2613—31no—
207#2602—31no—
208#2557D311yescharacteristic, complemented
209#2555—31no—
210#2480—31no—
211#2466—31no—
212#2464—31no—
213#2456—31no—
214#2424—31no—
215#2422—31no—
216#2414—31no—
217#2410—31no—
218#2407—31no—
219#2388—31no—
220#2342—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C2×D3×D4—24no—
244C2×D3×D4—42no—
245C2×D3×D4—42no—
246C2×#235—24no—
247C2×#235—42no—
248C2×#235—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×#124—24no—
264C3×#123—24no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#947—24no—
293#947—42no—
294#946—24no—
295#939—24no—
296#939—24no—
297#939—42no—
298#939—42no—
299#939—42no—
300#939—42no—
301#937—24no—
302#937—42no—
303#930—42no—
304C4×#67—42no—
305C2×(C2×D3)⋊C4—24no—
306C2×(C2×D3)⋊C4—42no—
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(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×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#896—24no—
372#895—24no—
373#894—24no—
374#893—24no—
375#886—24no—
376#885—24no—
377#884—24no—
378#884—24no—
379#884—24no—
380#883—24no—
381#883—42no—
382#882—24no—
383#882—24no—
384#882—24no—
385#882—42no—
386#67⋊C4—24no—
387#67⋊C4—24no—
388D3×C22⋊C4D418yescomplemented
389#879—24no—
390#878—42no—
391#876—24no—
392C4×D12—24no—
393C4×D12—42no—
394#872—42no—
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
423C22×#41—31no—
424C23×D4—31no—
425#546—68no—
426#538—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#124C2×D311yescharacteristic, complemented
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123C2×D311yescharacteristic
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×#117—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic, complemented
479#397C2×D311yescharacteristic, complemented
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#395—31no—
487#395—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#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#393C2×D311yescharacteristic, complemented
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392C2×D311yescharacteristic
524#391—31no—
525#391C2×D311yescharacteristic, complemented
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390C2×D311yescharacteristic, complemented
532#389—31no—
533#389—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388C2×D311yescharacteristic, complemented
544#387—31no—
545#387—31no—
546#387—31no—
547#387C2×D311yescharacteristic, complemented
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386C2×D311yescharacteristic
555#386C2×D311yescharacteristic, complemented
556#386C2×D311yescharacteristic, complemented
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#384—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4C2×D311yescharacteristic, complemented
579C4×C22⋊C4C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2×D414yes—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685D3×D4—416no—
686#235—416no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3C2×D414yes—
725C2×C4×D3C2×D414yes—
726C2×Dic6—22no—
727C2×Dic6—22no—
728C2×Dic6—41no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—41no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4C2×D414yes—
745C3×C42—22no—
746C3×C42—41no—
747C3×C42—41no—
748#217—22no—
749#217—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—41no—
754#217—41no—
755#217C2×D414yes—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4C2×D414yes—
794(C2×D3)⋊C4C2×D414yes—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
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—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—41no—
820C25—31no—
821C25—31no—
822C2×#41—64no—
823C2×#41—122no—
824C2×#41—122no—
825C22×Q8—31no—
826C22×Q8C22×D311yescharacteristic
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—64no—
847C22×D4—122no—
848C22×D4—122no—
849C22×D4C22×D311yescharacteristic
850C22×D4C22×D311yescharacteristic
851C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#126—64no—
863#126—64no—
864#124—24no—
865#124—64no—
866#124—64no—
867#124—122no—
868#123—24no—
869#123—64no—
870#123—64no—
871#123—64no—
872#123—122no—
873C22⋊Q8—64no—
874C22⋊Q8—64no—
875C22⋊Q8—122no—
876#121—64no—
877#121—64no—
878#121—64no—
879#121—64no—
880#121—64no—
881#121—64no—
882#121—122no—
883#121—122no—
884#121—122no—
885#121—122no—
886#121—122no—
887#120—64no—
888#120—64no—
889#120—64no—
890#120—64no—
891#120—122no—
892#120—122no—
893C4×D4—64no—
894C4×D4—64no—
895C4×D4—64no—
896C4×D4—64no—
897C4×D4—122no—
898C4×D4—122no—
899#117—122no—
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⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—38no—
928C2×C22⋊C4—31no—
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—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—64no—
973C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C42—31no—
988C2×C42—31no—
989C2×C42—31no—
990C2×C42—31no—
991C2×C42C22×D311yescharacteristic
992C2×C42C22×D311yescharacteristic
993C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
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—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3C22×D412yes—
1042C23×C3H(5,𝔽2)12yes—
1043C23×C3C2511yescharacteristic
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—44no—
1078C22×D3—44no—
1079C22×D3—44no—
1080C22×D3—44no—
1081C22×D3—44no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3—82no—
1087C22×D3—82no—
1088C22×D3—82no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3C22×D412yes—
1092C22×D3C22×D412yes—
1093C3×Q8—82no—
1094C3×D4—44no—
1095C3×D4—82no—
1096C3×D4—82no—
1097C2×C3×C4—21no—
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—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—44no—
1132C2×C3×C4—82no—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4C22×D412yes—
1135#67—28no—
1136#67—44no—
1137#67—44no—
1138#67—44no—
1139#67—44no—
1140#67—82no—
1141#67—82no—
1142#67—82no—
1143#67—82no—
1144#67—82no—
1145#67—82no—
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—82no—
1176C2×Dic3—82no—
1177C2×Dic3—82no—
1178C2×Dic3C22×D412yes—
1179C2×Dic3C22×D412yes—
1180C2×Dic3H(5,𝔽2)12yes—
1181C2×Dic3H(5,𝔽2)12yes—
1182D12—44no—
1183D12—44no—
1184D12—44no—
1185D12—44no—
1186D12—44no—
1187D12—82no—
1188D12—82no—
1189D12—82no—
1190C4×D3—44no—
1191C4×D3—44no—
1192C4×D3—44no—
1193C4×D3—44no—
1194C4×D3—82no—
1195Dic6—44no—
1196C24—31no—
1197C24—31no—
1198C24—34no—
1199C24—31no—
1200C24—31no—
1201C24—31no—
1202C24—62no—
1203C24—62no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24—121no—
1209C24—121no—
1210C24—121no—
1211C24—121no—
1212C24—121no—
1213C24—121no—
1214C24—121no—
1215C24C23×D311yescharacteristic
1216C24C23×D311yescharacteristic
1217C24C23×D311yescharacteristic
1218#41—1216no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—62no—
1223C2×Q8—62no—
1224C2×Q8—121no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
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×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—1216no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—34no—
1299C22×C4—34no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
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—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—34no—
1375C22⋊C4—34no—
1376C22⋊C4—34no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
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—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
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⋊C4D3×D414yes—
1429C42—22no—
1430C42—41no—
1431C42—41no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C42—121no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3C23×D411yescharacteristic
1458C22×C3C2×H(5,𝔽2)11yescharacteristic
1459C22×C3C2×H(5,𝔽2)11yescharacteristic
1460C22×C3C2×H(5,𝔽2)11yescharacteristic
1461C22×C3#58511yescharacteristic
1462C22×C3#58511yescharacteristic
1463C22×C3#58511yescharacteristic
1464C2×D3—22no—
1465C2×D3—22no—
1466C2×D3—22no—
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—88no—
1500C2×D3—88no—
1501C3×C4—22no—
1502C3×C4—22no—
1503C3×C4—41no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513Dic3—22no—
1514Dic3—22no—
1515Dic3—22no—
1516Dic3—22no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
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—21no—
1541C23—21no—
1542C23—21no—
1543C23—32no—
1544C23—32no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—124no—
1579C23—124no—
1580C23—124no—
1581C23—124no—
1582C23—124no—
1583C23—242no—
1584C23—242no—
1585C23—242no—
1586C23—242no—
1587C23—242no—
1588C23—242no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23C2×D3×D412yes—
1593C23#100912yes—
1594C23C24×D311yescharacteristic
1595Q8—82no—
1596Q8—124no—
1597D4—44no—
1598D4—68no—
1599D4—82no—
1600D4—82no—
1601D4—124no—
1602D4—124no—
1603D4—124no—
1604D4—124no—
1605D4—124no—
1606D4—124no—
1607D4—124no—
1608D4—124no—
1609D4—124no—
1610D4—242no—
1611D4—242no—
1612D4—242no—
1613D4—242no—
1614D4—242no—
1615D4—242no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—32no—
1654C2×C4—32no—
1655C2×C4—32no—
1656C2×C4—32no—
1657C2×C4—44no—
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—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—82no—
1688C2×C4—124no—
1689C2×C4—124no—
1690C2×C4—124no—
1691C2×C4—124no—
1692C2×C4—242no—
1693C2×C4—242no—
1694C2×C4—242no—
1695C2×C4—242no—
1696C2×C4C2×D3×D412yes—
1697C2×C4C2×D3×D412yes—
1698C2×C3—42no—
1699C2×C3—42no—
1700C2×C3—81no—
1701C2×C3#344911yescharacteristic
1702C2×C3#348411yescharacteristic
1703C2×C3#349611yescharacteristic
1704C2×C3#353411yescharacteristic
1705C2×C3#354011yescharacteristic
1706C2×C3#354611yescharacteristic
1707C2×C3#356011yescharacteristic
1708D3—42no—
1709D3—42no—
1710D3—81no—
1711D3—81no—
1712D3—81no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
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—62no—
1735C22—62no—
1736C22—62no—
1737C22—62no—
1738C22—62no—
1739C22—62no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—248no—
1770C22—248no—
1771C22C22×D3×D411yescharacteristic
1772C22C2×#100911yescharacteristic
1773C22#596411yescharacteristic
1774C22#596411yescharacteristic
1775C22#596411yescharacteristic
1776C22D3×H(5,𝔽2)11yescharacteristic
1777C22D3×H(5,𝔽2)11yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—62no—
1791C4—62no—
1792C4—62no—
1793C4—62no—
1794C4—121no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C3#4049811yescharacteristic, complemented, Sylow
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—122no—
1806C2—122no—
1807C2—241no—
1808C2—241no—
1809C2—241no—
1810C2#8617811yescharacteristic
1811C2#8623511yescharacteristic
1812C2#8640111yescharacteristic
1813C2#8666211yescharacteristic
1814C2#8666511yescharacteristic
1815C2#8680111yescharacteristic
1816C2#8705711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2557C2
hypercenter#2557D3
hypocenterC3#40498
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5654C2semidirect
3. C3×#2557C2semidirect
4. #82975C2semidirect
5. #82845C2semidirect
6. #77729C2semidirect
7. #77726C2semidirect
8. #77587C2semidirect
9. #77568C2semidirect
10. #76873C2semidirect
11. #76814C2semidirect
12. #76760C2semidirect
13. #76713C2semidirect
14. #76649C2semidirect
15. #76640C2semidirect
16. #76463C2semidirect
17. #76311C2semidirect
18. #75645C2semidirect
19. #75504C2semidirect
20. #75377C2semidirect
21. #75330C2semidirect
22. #74905C2semidirect
23. #74893C2semidirect
24. #74888C2semidirect
25. #74800C2semidirect
26. #74793C2semidirect
27. #74688C2semidirect
28. #73596C2semidirect
29. #73591C2semidirect
30. #73580C2semidirect
31. #73574C2semidirect
35. C2×C3×#124C22semidirect
38. C2×#947C22semidirect
39. C2×#946C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
44. C2×#939C22semidirect
45. C2×#939C22semidirect
49. C2×C4×#67C22semidirect
62. C2×#884C22semidirect
64. C2×#883C22semidirect
70. C2×#67⋊C4C22semidirect
72. C2×#879C22semidirect
73. C2×#878C22semidirect
75. C2×C4×D12C22semidirect
76. C2×C4×D12C22semidirect
77. C2×#872C22semidirect
78. C3×#397C22semidirect
79. C3×#397C22semidirect
80. C3×#393C22semidirect
82. C3×#391C22semidirect
83. C3×#390C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×C4×C22⋊C4C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5230C22semidirect
95. #5213C22semidirect
96. #5210C22semidirect
97. #5210C22semidirect
98. #4994C22semidirect
99. #4992C22semidirect
101. #4991C22semidirect
102. #4989C22semidirect
103. #4976C22semidirect
104. #4976C22semidirect
105. #4975C22semidirect
109. #4961C22semidirect
113. #4960C22semidirect
114. #4960C22semidirect
115. #4960C22semidirect
116. #4960C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
124. #4958C22semidirect
125. #4957C22semidirect
126. #4957C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4956C22semidirect
133. #4953C22semidirect
134. #4946C22semidirect
135. #4946C22semidirect
136. #4946C22semidirect
137. #4946C22semidirect
138. #4945C22semidirect
139. #4942C22semidirect
140. #4942C22semidirect
141. Dic3×C22⋊C4C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
146. #4940C22semidirect
147. #4939C22semidirect
148. C4×(C2×D3)⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
152. #4676C22semidirect
153. #4676C22semidirect
154. #4676C22semidirect
157. #4675C22semidirect
158. #4675C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4673C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
171. #4671C22semidirect
172. #4671C22semidirect
175. #4669C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
180. #4665C22semidirect
182. #4664C22semidirect
183. #4661C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4652C22semidirect
189. #4646C22semidirect
208. #2557D3semidirect
388. D3×C22⋊C4D4semidirect
432. C2×#124C2×D3semidirect
478. #397C2×D3semidirect
479. #397C2×D3semidirect
507. #393C2×D3semidirect
525. #391C2×D3semidirect
531. #390C2×D3semidirect
543. #388C2×D3semidirect
547. #387C2×D3semidirect
555. #386C2×D3semidirect
556. #386C2×D3semidirect
578. C4×C22⋊C4C2×D3semidirect
579. C4×C22⋊C4C2×D3semidirect
1801. C3#40498semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#56542
C3×#25572
#829752
#828452
#777292
#777262
#775872
#775682
#768732
#768142
#767602
#767132
#766492
#766402
#764632
#763112
#756452
#755042
#753772
#753302
#749052
#748932
#748882
#748002
#747932
#746882
#735962
#735912
#735802
#735742
#404983