Finite Group Databasebeta

← #11235355

Subgroups — #11235355

Order 768.

3174 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#121C211yesmaximal, characteristic, complemented
2C2×#5595C211yesmaximal, characteristic, complemented
3C3×#2669C211yesmaximal, characteristic, complemented
4#83182C211yesmaximal, characteristic, complemented
5#83175C211yesmaximal, characteristic, complemented
6#82723C211yesmaximal, characteristic, complemented
7#82718C211yesmaximal, characteristic, complemented
8#82690C211yesmaximal, characteristic, complemented
9#82610C211yesmaximal, characteristic, complemented
10#82608C211yesmaximal, characteristic, complemented
11#82605C211yesmaximal, characteristic, complemented
12#82604C211yesmaximal, characteristic, complemented
13#82604C211yesmaximal, characteristic, complemented
14#77160C211yesmaximal, characteristic, complemented
15#77134C211yesmaximal, characteristic, complemented
16#77117C211yesmaximal, characteristic, complemented
17#77110C211yesmaximal, characteristic, complemented
18#76773C211yesmaximal, characteristic, complemented
19#76773C211yesmaximal, characteristic, complemented
20#76756C211yesmaximal, characteristic, complemented
21#76755C211yesmaximal, characteristic, complemented
22#76755C211yesmaximal, characteristic, complemented
23#76742C211yesmaximal, characteristic, complemented
24#76728C211yesmaximal, characteristic, complemented
25#76669C211yesmaximal, characteristic, complemented
26#75924C211yesmaximal, characteristic, complemented
27#75542C211yesmaximal, characteristic, complemented
28#75540C211yesmaximal, characteristic, complemented
29#75490C211yesmaximal, characteristic, complemented
30#74936C211yesmaximal, characteristic, complemented
31#74813C211yesmaximal, characteristic, complemented
32#45444—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic, complemented
38C2×C3×#127C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic, complemented
41C2×C3×#120C2211yescharacteristic, complemented
42C2×C3×#120C2211yescharacteristic, complemented
43C2×C3×#120C2211yescharacteristic, complemented
44C2×#953C2211yescharacteristic, complemented
45C2×#953C2211yescharacteristic, complemented
46C2×#940C2211yescharacteristic, complemented
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic, complemented
49C2×#939C2211yescharacteristic, complemented
50C2×#939C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic, complemented
52C2×#938C2211yescharacteristic
53C2×#938C2211yescharacteristic
54C2×#938C2211yescharacteristic
55C2×#938C2211yescharacteristic, complemented
56C2×#938C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic, complemented
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic
61C2×#937C2211yescharacteristic
62C2×#937C2211yescharacteristic
63C2×#937C2211yescharacteristic, complemented
64C2×#937C2211yescharacteristic, complemented
65C2×#935C2211yescharacteristic, complemented
66C2×#930C2211yescharacteristic, complemented
67D3×#121—28no—
68#5595—28no—
69C2×#895C2211yescharacteristic, complemented
70C2×D3×C4⋊C4C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#883C2211yescharacteristic, complemented
76C2×#883C2211yescharacteristic, complemented
77C2×#883C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×D3×C22⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic, complemented
82C2×#879C2211yescharacteristic, complemented
83C2×#879C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#392C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93#5247C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5223C2211yescharacteristic, complemented
103#5223C2211yescharacteristic, complemented
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5222C2211yescharacteristic, complemented
110#5221C2211yescharacteristic, complemented
111#5221C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5220C2211yescharacteristic, complemented
114#5220C2211yescharacteristic, complemented
115#5220C2211yescharacteristic, complemented
116#5220C2211yescharacteristic, complemented
117#5220C2211yescharacteristic, complemented
118#5220C2211yescharacteristic, complemented
119#5212C2211yescharacteristic, complemented
120#5210C2211yescharacteristic, complemented
121#4994C2211yescharacteristic, complemented
122#4989C2211yescharacteristic, complemented
123#4987C2211yescharacteristic, complemented
124#4987C2211yescharacteristic, complemented
125#4982C2211yescharacteristic, complemented
126#4978C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4961C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic, complemented
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4955C2211yescharacteristic
155#4955C2211yescharacteristic
156#4955C2211yescharacteristic, complemented
157#4953C2211yescharacteristic, complemented
158#4953C2211yescharacteristic, complemented
159#4953C2211yescharacteristic, complemented
160#4952C2211yescharacteristic, complemented
161#4952C2211yescharacteristic, complemented
162#4952C2211yescharacteristic, complemented
163#4951C2211yescharacteristic, complemented
164#4950C2211yescharacteristic, complemented
165#4950C2211yescharacteristic, complemented
166#4950C2211yescharacteristic, complemented
167#4949C2211yescharacteristic, complemented
168#4948C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4939C2211yescharacteristic, complemented
172C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
173#4933C2211yescharacteristic, complemented
174#4674C2211yescharacteristic, complemented
175#4672C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4667C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4664C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4660C2211yescharacteristic, complemented
189#4655C2211yescharacteristic, complemented
190C2×#560—31no—
191C22×#121—31no—
192#2849—31no—
193#2847—31no—
194#2815—31no—
195#2813—31no—
196#2714—31no—
197#2703—31no—
198#2699—31no—
199#2691—31no—
200#2688—31no—
201#2688—31no—
202#2678—31no—
203#2675—31no—
204#2673—31no—
205#2673—31no—
206#2669D311yescharacteristic, complemented
207#2668—31no—
208#2481—31no—
209#2480—31no—
210#2443—31no—
211#2433—31no—
212#2424—31no—
213#2412—31no—
214#2410—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2403—31no—
219#2403—31no—
220#2377—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67—42no—
239C22×#67—42no—
240C22×#67—42no—
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C2×D3×D4—24no—
263C2×D3×D4—24no—
264C2×D3×D4—24no—
265C2×D3×D4—42no—
266C2×D3×D4—42no—
267C2×D3×D4—42no—
268C2×D3×D4—42no—
269C2×D3×D4—42no—
270C2×D3×D4—42no—
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×C4×D3—24no—
275C22×C4×D3—42no—
276C22×C4×D3—42no—
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C3×#127—42no—
286C3×#121—24no—
287C3×#121—42no—
288C3×#120—24no—
289C3×#120—42no—
290C3×#120—42no—
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C42C2311yescharacteristic
308#953—24no—
309#953—24no—
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334#940—24no—
335#939—24no—
336#939—24no—
337#939—24no—
338#939—24no—
339#939—42no—
340#938—24no—
341#938—24no—
342#938—24no—
343#938—42no—
344#938—42no—
345#938—42no—
346#937—42no—
347#937—42no—
348#937—42no—
349#937—42no—
350#937—42no—
351#937—42no—
352#937—42no—
353#935—24no—
354#930—24no—
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394#895—24no—
395D3×C4⋊C4—24no—
396#884—24no—
397#884—24no—
398#884—42no—
399#884D418yescomplemented
400#883—24no—
401#883—24no—
402#883—42no—
403#67⋊C4—42no—
404D3×C22⋊C4—24no—
405D3×C22⋊C4—24no—
406D3×C22⋊C4—42no—
407#879—24no—
408#879—24no—
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C23×D4—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C24×C4—31no—
440#560—68no—
441C2×#127—31no—
442C2×#127C2×D311yescharacteristic, complemented
443C2×#126—31no—
444C2×#126—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—68no—
467C2×#121C2×D311yescharacteristic
468C2×#121C2×D311yescharacteristic, complemented
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×#120C2×D311yescharacteristic, complemented
479C2×#120C2×D311yescharacteristic, complemented
480C2×#120C2×D311yescharacteristic, complemented
481C2×C4×D4—31no—
482C22×C4⋊C4—31no—
483C22×C22⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4—31no—
486#400—31no—
487#400—31no—
488#399—31no—
489#398—31no—
490#397—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397—31no—
496#397—31no—
497#396—31no—
498#396—31no—
499#396—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394C2×D311yescharacteristic, complemented
512#394C2×D311yescharacteristic, complemented
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#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392C2×D311yescharacteristic, complemented
531#392C2×D311yescharacteristic, complemented
532#392C2×D311yescharacteristic, complemented
533#392C2×D311yescharacteristic, complemented
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388C2×D311yescharacteristic, complemented
544#388C2×D311yescharacteristic, complemented
545#387—31no—
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386C2×D311yescharacteristic, complemented
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#381—31no—
581#381—31no—
582#381—31no—
583#380—31no—
584#380—31no—
585#380—31no—
586#380—31no—
587#379—31no—
588#379—31no—
589#379—31no—
590#379—31no—
591C4×C22⋊C4—31no—
592C24×C3—22no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3—41no—
624C23×D3—41no—
625C23×D3—41no—
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—22no—
641C2×C3×D4—22no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—41no—
662C2×C3×D4—41no—
663C2×C3×D4—41no—
664C2×C3×D4—41no—
665C2×C3×D4—41no—
666C22×C3×C4—22no—
667C22×C3×C4—22no—
668C22×C3×C4—41no—
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C22×C3×C4C2411yescharacteristic
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—41no—
728C2×#67—41no—
729C2×#67—41no—
730C2×#67—416no—
731C2×#67C2×D414yes—
732C2×#67C2×D414yes—
733C22×Dic3—22no—
734C22×Dic3—22no—
735C22×Dic3—41no—
736C22×Dic3—41no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3—41no—
741C22×Dic3—41no—
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754D3×D4—416no—
755D3×D4—416no—
756D3×D4—416no—
757C2×D12—22no—
758C2×D12—22no—
759C2×D12—22no—
760C2×D12—41no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12C2×D414yescomplemented
766C2×C4×D3—22no—
767C2×C4×D3—22no—
768C2×C4×D3—22no—
769C2×C4×D3—22no—
770C2×C4×D3—22no—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—22no—
774C2×C4×D3—22no—
775C2×C4×D3—22no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—416no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3C2×D414yescomplemented
791C3×C4⋊C4—22no—
792C3×C4⋊C4—41no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806C3×C22⋊C4C2×D414yes—
807C3×C42—41no—
808#217—22no—
809#217—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—22no—
815#217—22no—
816#217—22no—
817#217—22no—
818#217—41no—
819#217—41no—
820#217—41no—
821#217—41no—
822#217—41no—
823#217—41no—
824#217—41no—
825#217—41no—
826#217—41no—
827#217—41no—
828#217—41no—
829#217—41no—
830#217—41no—
831#217—41no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—22no—
840(C2×D3)⋊C4—22no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4C2×D414yescomplemented
854C4⋊Dic3—22no—
855C4⋊Dic3—22no—
856C4⋊Dic3—22no—
857C4⋊Dic3—41no—
858C4⋊Dic3—41no—
859C4⋊Dic3—41no—
860C4⋊Dic3—41no—
861Dic3⋊C4—22no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868Dic3⋊C4C2×D414yescomplemented
869C4×Dic3—22no—
870C4×Dic3—41no—
871C25—31no—
872C25—31no—
873C25—31no—
874C25C22×D311yescharacteristic
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—64no—
897C22×D4—64no—
898C22×D4—64no—
899C22×D4—122no—
900C22×D4—122no—
901C22×D4—122no—
902C22×D4—122no—
903C22×D4—122no—
904C22×D4—122no—
905C22×D4—122no—
906C22×D4—122no—
907C22×D4—122no—
908C22×D4C22×D311yescharacteristic
909C22×D4C22×D311yescharacteristic
910C22×D4C22×D311yescharacteristic
911C22×D4C22×D311yescharacteristic
912C22×D4C22×D311yescharacteristic
913C22×D4C22×D311yescharacteristic
914C22×D4C22×D311yescharacteristic
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C22×D4C22×D311yescharacteristic
919C22×D4C22×D311yescharacteristic
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4—64no—
932C23×C4—122no—
933C23×C4—122no—
934C23×C4C22×D311yescharacteristic
935#127—42no—
936#127—64no—
937#126—64no—
938#126—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—122no—
943#121—24no—
944#121—38no—
945#121—42no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—64no—
955#121—64no—
956#121—64no—
957#121—122no—
958#121—122no—
959#121—122no—
960#121—122no—
961#121—122no—
962#120—24no—
963#120—42no—
964#120—42no—
965#120—64no—
966#120—64no—
967#120—122no—
968#120—122no—
969#120—122no—
970#120—122no—
971#120—122no—
972#120—122no—
973#120—122no—
974C4×D4—122no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—31no—
990C2×C4⋊C4—64no—
991C2×C4⋊C4C22×D311yescharacteristic
992C2×C4⋊C4C22×D311yescharacteristic
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—64no—
1040C2×C22⋊C4—64no—
1041C2×C22⋊C4—122no—
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42C22×D311yescharacteristic
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—21no—
1124C23×C3—21no—
1125C23×C3—44no—
1126C23×C3—82no—
1127C23×C3—82no—
1128C23×C3—82no—
1129C23×C3—82no—
1130C23×C3—82no—
1131C23×C3—82no—
1132C23×C3C22×D412yes—
1133C23×C3H(5,𝔽2)12yes—
1134C23×C3C2511yescharacteristic
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—28no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—44no—
1173C22×D3—82no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3C22×D412yes—
1180C22×D3C22×D412yes—
1181C22×D3H(5,𝔽2)12yes—
1182C22×D3H(5,𝔽2)12yes—
1183C22×D3H(5,𝔽2)12yes—
1184C3×D4—44no—
1185C3×D4—44no—
1186C3×D4—44no—
1187C3×D4—82no—
1188C3×D4—82no—
1189C3×D4—82no—
1190C3×D4—82no—
1191C3×D4—82no—
1192C3×D4—82no—
1193C3×D4—82no—
1194C3×D4—82no—
1195C3×D4—82no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—44no—
1221C2×C3×C4C22×D412yes—
1222C2×C3×C4C22×D412yes—
1223C2×C3×C4H(5,𝔽2)12yes—
1224#67—44no—
1225#67—44no—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—44no—
1234#67—44no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—44no—
1277C2×Dic3—44no—
1278C2×Dic3—82no—
1279C2×Dic3C22×D412yes—
1280C2×Dic3C22×D412yes—
1281D12—44no—
1282D12—44no—
1283D12—44no—
1284C4×D3—28no—
1285C4×D3—44no—
1286C4×D3—44no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—44no—
1290C4×D3—82no—
1291C4×D3—82no—
1292C24—22no—
1293C24—31no—
1294C24—31no—
1295C24—31no—
1296C24—31no—
1297C24—41no—
1298C24—41no—
1299C24—41no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—62no—
1304C24—62no—
1305C24—62no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—62no—
1313C24—62no—
1314C24—62no—
1315C24—62no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24—121no—
1323C24—121no—
1324C24C23×D311yescharacteristic
1325C24C23×D311yescharacteristic
1326C24C23×D311yescharacteristic
1327C24C23×D311yescharacteristic
1328C24C23×D311yescharacteristic
1329C24C23×D311yescharacteristic
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—34no—
1343C2×D4—34no—
1344C2×D4—34no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—1216no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—1216no—
1431C2×D4—1216no—
1432C2×D4—1216no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—34no—
1438C22×C4—31no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—41no—
1449C22×C4—62no—
1450C22×C4—62no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—62no—
1454C22×C4—62no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—121no—
1464C22×C4—121no—
1465C22×C4—121no—
1466C22×C4—121no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—121no—
1474C22×C4—1216no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4—121no—
1481C22×C4—121no—
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C22×C4C23×D311yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—34no—
1493C4⋊C4—41no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
1500C4⋊C4—62no—
1501C4⋊C4—62no—
1502C4⋊C4—121no—
1503C4⋊C4—121no—
1504C4⋊C4—121no—
1505C4⋊C4—121no—
1506C4⋊C4—121no—
1507C4⋊C4—121no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—34no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
1540C22⋊C4—62no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C22⋊C4—121no—
1562C22⋊C4—121no—
1563C22⋊C4—121no—
1564C22⋊C4—121no—
1565C22⋊C4—121no—
1566C22⋊C4—121no—
1567C22⋊C4D3×D414yes—
1568C42—41no—
1569C42—62no—
1570C42—121no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3—41no—
1602C22×C3—41no—
1603C22×C3—41no—
1604C22×C3—41no—
1605C22×C3—41no—
1606C22×C3—41no—
1607C22×C3—41no—
1608C22×C3—41no—
1609C22×C3—41no—
1610C22×C3—41no—
1611C22×C3—41no—
1612C22×C3—41no—
1613C22×C3—88no—
1614C22×C3C23×D411yescharacteristic
1615C22×C3C2×H(5,𝔽2)11yescharacteristic
1616C22×C3C2×H(5,𝔽2)11yescharacteristic
1617C22×C3C2×H(5,𝔽2)11yescharacteristic
1618C22×C3C2×H(5,𝔽2)11yescharacteristic
1619C22×C3C2×H(5,𝔽2)11yescharacteristic
1620C22×C3#58511yescharacteristic
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—22no—
1624C2×D3—22no—
1625C2×D3—22no—
1626C2×D3—22no—
1627C2×D3—22no—
1628C2×D3—22no—
1629C2×D3—22no—
1630C2×D3—22no—
1631C2×D3—22no—
1632C2×D3—22no—
1633C2×D3—416no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—88no—
1650C2×D3—88no—
1651C2×D3#56014yescomplemented
1652C3×C4—22no—
1653C3×C4—22no—
1654C3×C4—22no—
1655C3×C4—41no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661Dic3—22no—
1662Dic3—22no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672Dic3—41no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—32no—
1714C23—32no—
1715C23—32no—
1716C23—32no—
1717C23—32no—
1718C23—44no—
1719C23—68no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—61no—
1741C23—61no—
1742C23—61no—
1743C23—82no—
1744C23—82no—
1745C23—82no—
1746C23—82no—
1747C23—82no—
1748C23—82no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—124no—
1757C23—124no—
1758C23—124no—
1759C23—124no—
1760C23—124no—
1761C23—124no—
1762C23—124no—
1763C23—242no—
1764C23—242no—
1765C23—242no—
1766C23—242no—
1767C23—242no—
1768C23—242no—
1769C23C2×D3×D412yes—
1770C23#100412yes—
1771C23C24×D311yescharacteristic
1772D4—44no—
1773D4—44no—
1774D4—44no—
1775D4—82no—
1776D4—82no—
1777D4—82no—
1778D4—82no—
1779D4—82no—
1780D4—82no—
1781D4—82no—
1782D4—82no—
1783D4—82no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—124no—
1792D4—124no—
1793D4—124no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—32no—
1830C2×C4—32no—
1831C2×C4—44no—
1832C2×C4—68no—
1833C2×C4—61no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—61no—
1867C2×C4—124no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—242no—
1875C2×C4—242no—
1876C2×C4—242no—
1877C2×C4C2×D3×D412yes—
1878C2×C4C2×D3×D412yes—
1879C2×C4#100412yes—
1880C2×C3—42no—
1881C2×C3—42no—
1882C2×C3—81no—
1883C2×C3—81no—
1884C2×C3—81no—
1885C2×C3—81no—
1886C2×C3#348411yescharacteristic
1887C2×C3#348411yescharacteristic
1888C2×C3#348811yescharacteristic
1889C2×C3C2×#56011yescharacteristic
1890C2×C3#353411yescharacteristic
1891C2×C3#353711yescharacteristic
1892C2×C3#354211yescharacteristic
1893D3—24no—
1894D3—42no—
1895D3—42no—
1896D3—81no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—34no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—62no—
1941C22—62no—
1942C22—62no—
1943C22—62no—
1944C22—62no—
1945C22—62no—
1946C22—62no—
1947C22—62no—
1948C22—62no—
1949C22—62no—
1950C22—62no—
1951C22—62no—
1952C22—88no—
1953C22—1216no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—121no—
1966C22—121no—
1967C22—121no—
1968C22—121no—
1969C22—248no—
1970C22—248no—
1971C22C22×D3×D411yescharacteristic
1972C22C2×#100411yescharacteristic
1973C22C2×#100411yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22D3×H(5,𝔽2)11yescharacteristic
1976C22D3×H(5,𝔽2)11yescharacteristic
1977C22#596611yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—62no—
1988C4—62no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C4—121no—
1998C4—121no—
1999C3#4544411yescharacteristic, complemented, Sylow
2000C2—42no—
2001C2—42no—
2002C2—64no—
2003C2—81no—
2004C2—81no—
2005C2—81no—
2006C2—81no—
2007C2—122no—
2008C2—122no—
2009C2—241no—
2010C2#8631211yescharacteristic
2011C2#8633111yescharacteristic
2012C2#8633511yescharacteristic
2013C2#8662011yescharacteristic
2014C2#8662011yescharacteristic
2015C2#8662311yescharacteristic
2016C2D3×#56011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2669C2
hypercenter#2669D3
hypocenterC3#45444
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×D3×#121C2semidirect
2. C2×#5595C2semidirect
3. C3×#2669C2semidirect
4. #83182C2semidirect
5. #83175C2semidirect
6. #82723C2semidirect
7. #82718C2semidirect
8. #82690C2semidirect
9. #82610C2semidirect
10. #82608C2semidirect
11. #82605C2semidirect
12. #82604C2semidirect
13. #82604C2semidirect
14. #77160C2semidirect
15. #77134C2semidirect
16. #77117C2semidirect
17. #77110C2semidirect
18. #76773C2semidirect
19. #76773C2semidirect
20. #76756C2semidirect
21. #76755C2semidirect
22. #76755C2semidirect
23. #76742C2semidirect
24. #76728C2semidirect
25. #76669C2semidirect
26. #75924C2semidirect
27. #75542C2semidirect
28. #75540C2semidirect
29. #75490C2semidirect
30. #74936C2semidirect
31. #74813C2semidirect
36. C22×D3×D4C22semidirect
37. C23×C4×D3C22semidirect
38. C2×C3×#127C22semidirect
40. C2×C3×#121C22semidirect
41. C2×C3×#120C22semidirect
42. C2×C3×#120C22semidirect
43. C2×C3×#120C22semidirect
44. C2×#953C22semidirect
45. C2×#953C22semidirect
46. C2×#940C22semidirect
48. C2×#939C22semidirect
49. C2×#939C22semidirect
50. C2×#939C22semidirect
51. C2×#939C22semidirect
55. C2×#938C22semidirect
56. C2×#938C22semidirect
57. C2×#938C22semidirect
63. C2×#937C22semidirect
64. C2×#937C22semidirect
65. C2×#935C22semidirect
66. C2×#930C22semidirect
69. C2×#895C22semidirect
70. C2×D3×C4⋊C4C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#884C22semidirect
75. C2×#883C22semidirect
76. C2×#883C22semidirect
77. C2×#883C22semidirect
78. C2×#67⋊C4C22semidirect
80. C2×D3×C22⋊C4C22semidirect
81. C2×D3×C22⋊C4C22semidirect
82. C2×#879C22semidirect
83. C2×#879C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
86. C3×#392C22semidirect
87. C3×#392C22semidirect
88. C3×#392C22semidirect
89. C3×#392C22semidirect
90. C3×#388C22semidirect
91. C3×#388C22semidirect
92. C3×#386C22semidirect
93. #5247C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
102. #5223C22semidirect
103. #5223C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
109. #5222C22semidirect
110. #5221C22semidirect
111. #5221C22semidirect
112. #5220C22semidirect
113. #5220C22semidirect
114. #5220C22semidirect
115. #5220C22semidirect
116. #5220C22semidirect
117. #5220C22semidirect
118. #5220C22semidirect
119. #5212C22semidirect
120. #5210C22semidirect
121. #4994C22semidirect
122. #4989C22semidirect
123. #4987C22semidirect
124. #4987C22semidirect
125. #4982C22semidirect
126. #4978C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4961C22semidirect
130. #4961C22semidirect
131. #4961C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4959C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
148. #4956C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
156. #4955C22semidirect
157. #4953C22semidirect
158. #4953C22semidirect
159. #4953C22semidirect
160. #4952C22semidirect
161. #4952C22semidirect
162. #4952C22semidirect
163. #4951C22semidirect
164. #4950C22semidirect
165. #4950C22semidirect
166. #4950C22semidirect
167. #4949C22semidirect
168. #4948C22semidirect
169. #4948C22semidirect
170. #4940C22semidirect
171. #4939C22semidirect
172. C4×(C2×D3)⋊C4C22semidirect
173. #4933C22semidirect
174. #4674C22semidirect
175. #4672C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4668C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4667C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4664C22semidirect
187. #4660C22semidirect
188. #4660C22semidirect
189. #4655C22semidirect
206. #2669D3semidirect
399. #884D4semidirect
442. C2×#127C2×D3semidirect
468. C2×#121C2×D3semidirect
478. C2×#120C2×D3semidirect
479. C2×#120C2×D3semidirect
480. C2×#120C2×D3semidirect
511. #394C2×D3semidirect
512. #394C2×D3semidirect
530. #392C2×D3semidirect
531. #392C2×D3semidirect
532. #392C2×D3semidirect
533. #392C2×D3semidirect
543. #388C2×D3semidirect
544. #388C2×D3semidirect
571. #386C2×D3semidirect
765. C2×D12C2×D4semidirect
790. C2×C4×D3C2×D4semidirect
853. (C2×D3)⋊C4C2×D4semidirect
868. Dic3⋊C4C2×D4semidirect
1651. C2×D3#560semidirect
1999. C3#45444semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1212
C2×#55952
C3×#26692
#831822
#831752
#827232
#827182
#826902
#826102
#826082
#826052
#826042
#771602
#771342
#771172
#771102
#767732
#767562
#767552
#767422
#767282
#766692
#759242
#755422
#755402
#754902
#749362
#748132
#454443