Finite Group Databasebeta

← #11235334

Subgroups — #11235334

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×C3×#560C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3#83182C211yesmaximal, characteristic, complemented
4#83175C211yesmaximal, characteristic, complemented
5#83117C211yesmaximal, characteristic, complemented
6#83115C211yesmaximal, characteristic, complemented
7#83082C211yesmaximal, characteristic, complemented
8#83081C211yesmaximal, characteristic, complemented
9#82912C211yesmaximal, characteristic, complemented
10#82911C211yesmaximal, characteristic, complemented
11#82909C211yesmaximal, characteristic, complemented
12#82906C211yesmaximal, characteristic, complemented
13#82897C211yesmaximal, characteristic, complemented
14#82895C211yesmaximal, characteristic, complemented
15#82723C211yesmaximal, characteristic, complemented
16#82722C211yesmaximal, characteristic, complemented
17#82718C211yesmaximal, characteristic, complemented
18#82707C211yesmaximal, characteristic, complemented
19#82702C211yesmaximal, characteristic, complemented
20#82702C211yesmaximal, characteristic, complemented
21#82691C211yesmaximal, characteristic, complemented
22#82689C211yesmaximal, characteristic, complemented
23#82688C211yesmaximal, characteristic, complemented
24#82640C211yesmaximal, characteristic, complemented
25#82639C211yesmaximal, characteristic, complemented
26#82609C211yesmaximal, characteristic, complemented
27#82608C211yesmaximal, characteristic, complemented
28#82605C211yesmaximal, characteristic, complemented
29#82604C211yesmaximal, characteristic, complemented
30#82604C211yesmaximal, characteristic, complemented
31#82596C211yesmaximal, characteristic, complemented
32#45444—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic, complemented
38C3×#560—28no—
39C2×C3×#127C2211yescharacteristic, complemented
40C2×C3×#126C2211yescharacteristic, complemented
41C2×C3×#126C2211yescharacteristic, complemented
42C2×C3×#123C2211yescharacteristic, complemented
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×#123C2211yescharacteristic, complemented
45C2×C3×#121C2211yescharacteristic
46C2×C3×#121C2211yescharacteristic, complemented
47C2×C3×#121C2211yescharacteristic, complemented
48C2×C3×#121C2211yescharacteristic, complemented
49C2×C3×#121C2211yescharacteristic, complemented
50C2×C3×#121C2211yescharacteristic, complemented
51C2×C3×#120C2211yescharacteristic, complemented
52C2×C3×#120C2211yescharacteristic, complemented
53C2×C3×#120C2211yescharacteristic, complemented
54C2×#953C2211yescharacteristic, complemented
55C2×#953C2211yescharacteristic, complemented
56C2×#940C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic, complemented
59C2×#939C2211yescharacteristic, complemented
60C2×#939C2211yescharacteristic, complemented
61C2×#938C2211yescharacteristic
62C2×#938C2211yescharacteristic
63C2×#938C2211yescharacteristic
64C2×#938C2211yescharacteristic, complemented
65C2×#937C2211yescharacteristic
66C2×#937C2211yescharacteristic
67C2×#937C2211yescharacteristic
68C2×#937C2211yescharacteristic
69C2×#937C2211yescharacteristic
70C2×#937C2211yescharacteristic, complemented
71C2×#937C2211yescharacteristic, complemented
72C2×#935C2211yescharacteristic, complemented
73C2×#930C2211yescharacteristic, complemented
74C2×#930C2211yescharacteristic, complemented
75C2×C4×#67C2211yescharacteristic, complemented
76C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
77D3×#121—28no—
78C2×#895C2211yescharacteristic, complemented
79C2×D3×C4⋊C4C2211yescharacteristic, complemented
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic, complemented
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×D3×C22⋊C4C2211yescharacteristic, complemented
84#5247C2211yescharacteristic, complemented
85#5223C2211yescharacteristic, complemented
86#5223C2211yescharacteristic, complemented
87#5223C2211yescharacteristic, complemented
88#5223C2211yescharacteristic, complemented
89#5223C2211yescharacteristic, complemented
90#5223C2211yescharacteristic, complemented
91#5223C2211yescharacteristic, complemented
92#5223C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5221C2211yescharacteristic, complemented
104#5221C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5220C2211yescharacteristic, complemented
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5213C2211yescharacteristic, complemented
115#5213C2211yescharacteristic, complemented
116#5212C2211yescharacteristic, complemented
117#5211C2211yescharacteristic, complemented
118#5211C2211yescharacteristic, complemented
119#5210C2211yescharacteristic, complemented
120#4994C2211yescharacteristic, complemented
121#4994C2211yescharacteristic, complemented
122#4992C2211yescharacteristic, complemented
123#4992C2211yescharacteristic, complemented
124#4992C2211yescharacteristic, complemented
125#4991C2211yescharacteristic, complemented
126#4991C2211yescharacteristic, complemented
127#4990C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4989C2211yescharacteristic, complemented
131#4989C2211yescharacteristic, complemented
132#4989C2211yescharacteristic, complemented
133#4988C2211yescharacteristic, complemented
134#4987C2211yescharacteristic, complemented
135#4987C2211yescharacteristic, complemented
136#4987C2211yescharacteristic, complemented
137#4986C2211yescharacteristic, complemented
138#4985C2211yescharacteristic, complemented
139#4982C2211yescharacteristic, complemented
140#4980C2211yescharacteristic, complemented
141#4980C2211yescharacteristic, complemented
142#4961C2211yescharacteristic, complemented
143#4961C2211yescharacteristic, complemented
144#4961C2211yescharacteristic, complemented
145#4961C2211yescharacteristic, complemented
146#4960C2211yescharacteristic, complemented
147#4960C2211yescharacteristic, complemented
148#4960C2211yescharacteristic, complemented
149#4960C2211yescharacteristic, complemented
150#4960C2211yescharacteristic, complemented
151#4960C2211yescharacteristic, complemented
152#4959C2211yescharacteristic, complemented
153#4959C2211yescharacteristic, complemented
154#4959C2211yescharacteristic, complemented
155#4959C2211yescharacteristic, complemented
156#4958C2211yescharacteristic, complemented
157#4958C2211yescharacteristic, complemented
158#4957C2211yescharacteristic, complemented
159#4956C2211yescharacteristic
160#4956C2211yescharacteristic
161#4956C2211yescharacteristic
162#4956C2211yescharacteristic
163#4956C2211yescharacteristic
164#4956C2211yescharacteristic
165#4956C2211yescharacteristic, complemented
166#4956C2211yescharacteristic, complemented
167#4956C2211yescharacteristic, complemented
168#4956C2211yescharacteristic, complemented
169#4956C2211yescharacteristic, complemented
170#4955C2211yescharacteristic
171#4955C2211yescharacteristic
172#4955C2211yescharacteristic, complemented
173#4953C2211yescharacteristic, complemented
174#4953C2211yescharacteristic, complemented
175#4952C2211yescharacteristic, complemented
176#4952C2211yescharacteristic, complemented
177#4951C2211yescharacteristic, complemented
178#4951C2211yescharacteristic, complemented
179#4950C2211yescharacteristic, complemented
180#4950C2211yescharacteristic, complemented
181#4949C2211yescharacteristic, complemented
182#4948C2211yescharacteristic, complemented
183#4945C2211yescharacteristic, complemented
184#4945C2211yescharacteristic, complemented
185#4943C2211yescharacteristic, complemented
186#4940C2211yescharacteristic, complemented
187#4939C2211yescharacteristic, complemented
188C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#560D311yescharacteristic, complemented
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#2669—31no—
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
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C22×#67—42no—
241C22×#67—42no—
242C22×#67—42no—
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
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C2×D3×D4—24no—
265C2×D3×D4—24no—
266C2×D3×D4—24no—
267C2×D3×D4—42no—
268C2×D3×D4—42no—
269C2×D3×D4—42no—
270C2×D3×D4—42no—
271C2×D3×D4—42no—
272C2×D3×D4—42no—
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×C4×D3—24no—
277C22×C4×D3—42no—
278C22×C4×D3—42no—
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C3×#127—24no—
286C3×#126—24no—
287C3×#126—24no—
288C3×#123—24no—
289C3×#123—24no—
290C3×#123—24no—
291C3×#121—24no—
292C3×#121—24no—
293C3×#121—24no—
294C3×#121—24no—
295C3×#121—24no—
296C3×#121D418yescomplemented
297C3×#120—24no—
298C3×#120—24no—
299C3×#120—24no—
300C2×C3×C4⋊C4C2311yescharacteristic
301C2×C3×C4⋊C4C2311yescharacteristic
302C2×C3×C4⋊C4C2311yescharacteristic
303C2×C3×C4⋊C4C2311yescharacteristic
304C2×C3×C4⋊C4C2311yescharacteristic
305C2×C3×C4⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C22⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C42C2311yescharacteristic
319#953—42no—
320#953—42no—
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338C2×#217C2311yescharacteristic
339C2×#217C2311yescharacteristic
340C2×#217C2311yescharacteristic
341C2×#217C2311yescharacteristic
342C2×#217C2311yescharacteristic
343C2×#217C2311yescharacteristic
344C2×#217C2311yescharacteristic
345#940—42no—
346#939—24no—
347#939—24no—
348#939—42no—
349#939—42no—
350#938—24no—
351#938—42no—
352#938—42no—
353#938—42no—
354#937—42no—
355#937—42no—
356#937—42no—
357#937—42no—
358#937—42no—
359#937—42no—
360#937—42no—
361#935—42no—
362#930—24no—
363#930—42no—
364C4×#67—42no—
365C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×(C2×D3)⋊C4C2311yescharacteristic
382C2×(C2×D3)⋊C4C2311yescharacteristic
383C2×(C2×D3)⋊C4C2311yescharacteristic
384C2×(C2×D3)⋊C4C2311yescharacteristic
385C2×(C2×D3)⋊C4C2311yescharacteristic
386C2×(C2×D3)⋊C4C2311yescharacteristic
387C2×(C2×D3)⋊C4C2311yescharacteristic
388C2×(C2×D3)⋊C4C2311yescharacteristic
389C2×(C2×D3)⋊C4C2311yescharacteristic
390C2×C4⋊Dic3C2311yescharacteristic
391C2×C4⋊Dic3C2311yescharacteristic
392C2×C4⋊Dic3C2311yescharacteristic
393C2×C4⋊Dic3C2311yescharacteristic
394C2×C4⋊Dic3C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×Dic3⋊C4C2311yescharacteristic
397C2×Dic3⋊C4C2311yescharacteristic
398C2×Dic3⋊C4C2311yescharacteristic
399C2×Dic3⋊C4C2311yescharacteristic
400C2×Dic3⋊C4C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403#895—24no—
404D3×C4⋊C4—24no—
405#884—24no—
406#884—24no—
407D3×C22⋊C4—24no—
408D3×C22⋊C4—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—28no—
441C2×#127—31no—
442C2×#127C2×D311yescharacteristic, complemented
443C2×#126C2×D311yescharacteristic, complemented
444C2×#126C2×D311yescharacteristic, complemented
445C2×#123—31no—
446C2×#123C2×D311yescharacteristic, complemented
447C2×#123C2×D311yescharacteristic, complemented
448C2×#123C2×D311yescharacteristic, complemented
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—68no—
463C2×#121C2×D311yescharacteristic
464C2×#121C2×D311yescharacteristic, complemented
465C2×#121C2×D311yescharacteristic, complemented
466C2×#121C2×D311yescharacteristic, complemented
467C2×#121C2×D311yescharacteristic, complemented
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#394—31no—
512#394—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#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
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#388—31no—
544#388—31no—
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#386—31no—
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—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
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×D4C2×D414yes—
664C2×C3×D4C2×D414yes—
665C2×C3×D4C2×D414yescomplemented
666C22×C3×C4—22no—
667C22×C3×C4—22no—
668C22×C3×C4—41no—
669C22×C3×C4—41no—
670C22×C3×C4—41no—
671C22×C3×C4—41no—
672C22×C3×C4—41no—
673C22×C3×C4—41no—
674C22×C3×C4C2×D414yescomplemented
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C22×C3×C4C2411yescharacteristic
678C22×C3×C4C2411yescharacteristic
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
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—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
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—41no—
731C2×#67—41no—
732C2×#67—41no—
733C2×#67—41no—
734C2×#67—41no—
735C2×#67—41no—
736C2×#67—41no—
737C2×#67—41no—
738C2×#67—416no—
739C22×Dic3—22no—
740C22×Dic3—22no—
741C22×Dic3—41no—
742C22×Dic3—41no—
743C22×Dic3—41no—
744C22×Dic3—41no—
745C22×Dic3—41no—
746C22×Dic3—41no—
747C22×Dic3—41no—
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757C22×Dic3C2411yescharacteristic
758C22×Dic3C2411yescharacteristic
759C22×Dic3C2411yescharacteristic
760D3×D4—416no—
761D3×D4—416no—
762D3×D4—416no—
763C2×D12—22no—
764C2×D12—22no—
765C2×D12—22no—
766C2×D12—22no—
767C2×D12—22no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
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—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—416no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C3×C4⋊C4—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—22no—
795C3×C4⋊C4—22no—
796C3×C4⋊C4C2×D414yescomplemented
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—22no—
804C3×C22⋊C4—22no—
805C3×C22⋊C4—22no—
806C3×C22⋊C4—22no—
807C3×C22⋊C4C2×D414yes—
808C3×C22⋊C4C2×D414yescomplemented
809C3×C42—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—22no—
815#217—41no—
816#217—41no—
817#217—41no—
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#217—41no—
833#217—41no—
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—22no—
842(C2×D3)⋊C4—22no—
843(C2×D3)⋊C4—22no—
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)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858C4⋊Dic3—22no—
859C4⋊Dic3—41no—
860C4⋊Dic3—41no—
861C4⋊Dic3—41no—
862C4⋊Dic3—41no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—41no—
867Dic3⋊C4—41no—
868Dic3⋊C4—41no—
869C4×Dic3—41no—
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—64no—
930C23×C4—122no—
931C23×C4—122no—
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934C23×C4C22×D311yescharacteristic
935#127—24no—
936#127—122no—
937#126—24no—
938#126—24no—
939#123—24no—
940#123—24no—
941#123—24no—
942#123—122no—
943#121—24no—
944#121—24no—
945#121—24no—
946#121—24no—
947#121—24no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—64no—
954#121—64no—
955#121—122no—
956#121—122no—
957#121—122no—
958#121—122no—
959#121—122no—
960#121—122no—
961#121#6718yescomplemented
962#120—24no—
963#120—24no—
964#120—24no—
965#120—122no—
966#120—122no—
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—64no—
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C4⋊C4C22×D311yescharacteristic
990C2×C4⋊C4C22×D311yescharacteristic
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—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—64no—
1042C2×C22⋊C4—64no—
1043C2×C22⋊C4—122no—
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#95—31no—
1082#95—31no—
1083#95—31no—
1084#95—31no—
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—44no—
1125C23×C3—82no—
1126C23×C3—82no—
1127C23×C3—82no—
1128C23×C3—82no—
1129C23×C3—82no—
1130C23×C3—82no—
1131C23×C3C22×D412yes—
1132C23×C3C22×D412yes—
1133C23×C3C22×D412yes—
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—21no—
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—44no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3H(5,𝔽2)12yes—
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—44no—
1220C2×C3×C4—82no—
1221C2×C3×C4—82no—
1222C2×C3×C4C22×D412yes—
1223C2×C3×C4C22×D412yes—
1224C2×C3×C4C22×D412yes—
1225C2×C3×C4C22×D412yes—
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—44no—
1236#67—44no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240#67—82no—
1241#67—82no—
1242#67—82no—
1243#67—82no—
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—21no—
1277C2×Dic3—21no—
1278C2×Dic3—21no—
1279C2×Dic3—44no—
1280C2×Dic3—44no—
1281C2×Dic3—82no—
1282C2×Dic3H(5,𝔽2)12yes—
1283D12—44no—
1284D12—44no—
1285D12—44no—
1286C4×D3—28no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—44no—
1290C4×D3—44no—
1291C4×D3—44no—
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—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
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—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
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—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—1216no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
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—1216no—
1428C2×D4—1216no—
1429C2×D4—1216no—
1430C2×D4C2×#6714yes—
1431C2×D4C2×#6714yes—
1432C2×D4C2×#6714yescomplemented
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—31no—
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—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
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—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—62no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4—1216no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4—121no—
1481C22×C4C2×#6714yescomplemented
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—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C4⋊C4—121no—
1503C4⋊C4—121no—
1504C4⋊C4—121no—
1505C4⋊C4—121no—
1506C4⋊C4—121no—
1507C4⋊C4C2×#6714yescomplemented
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
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—121no—
1534C22⋊C4—121no—
1535C22⋊C4—121no—
1536C22⋊C4—121no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
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⋊C4C2×#6714yes—
1567C22⋊C4C2×#6714yescomplemented
1568C42—22no—
1569C42—121no—
1570C42—121no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
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—416no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
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—22no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661Dic3—22no—
1662Dic3—41no—
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—32no—
1713C23—32no—
1714C23—32no—
1715C23—32no—
1716C23—44no—
1717C23—68no—
1718C23—61no—
1719C23—61no—
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—82no—
1743C23—82no—
1744C23—82no—
1745C23—82no—
1746C23—82no—
1747C23—82no—
1748C23—124no—
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—242no—
1763C23—242no—
1764C23—242no—
1765C23—242no—
1766C23—242no—
1767C23—242no—
1768C23C22×#6712yes—
1769C23C22×#6712yes—
1770C23C22×#6712yes—
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—32no—
1829C2×C4—44no—
1830C2×C4—68no—
1831C2×C4—61no—
1832C2×C4—61no—
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—82no—
1867C2×C4—82no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—124no—
1873C2×C4—124no—
1874C2×C4—124no—
1875C2×C4—242no—
1876C2×C4C22×#6712yes—
1877C2×C4C22×#6712yes—
1878C2×C4C22×#6712yes—
1879C2×C4C22×#6712yes—
1880C2×C3—42no—
1881C2×C3—42no—
1882C2×C3—42no—
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—81no—
1896D3—81no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—34no—
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—88no—
1950C22—1216no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
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—
1971C22D3×H(5,𝔽2)11yescharacteristic
1972C22D3×H(5,𝔽2)11yescharacteristic
1973C22D3×H(5,𝔽2)11yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22D3×H(5,𝔽2)11yescharacteristic
1976C22#596611yescharacteristic
1977C22C23×#6711yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—62no—
1988C4—121no—
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—42no—
2003C2—64no—
2004C2—81no—
2005C2—81no—
2006C2—81no—
2007C2—122no—
2008C2—241no—
2009C2—241no—
2010C2#8707111yescharacteristic
2011C2#8707411yescharacteristic
2012C2D3×#56011yescharacteristic
2013C2#8708211yescharacteristic
2014C2#8728411yescharacteristic
2015C2#8728411yescharacteristic
2016C2#8728511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#560C2
hypercenterC2×#560D3
hypocenterC3#45444
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. C2×C3×#560C2semidirect
2. C2×D3×#121C2semidirect
3. #83182C2semidirect
4. #83175C2semidirect
5. #83117C2semidirect
6. #83115C2semidirect
7. #83082C2semidirect
8. #83081C2semidirect
9. #82912C2semidirect
10. #82911C2semidirect
11. #82909C2semidirect
12. #82906C2semidirect
13. #82897C2semidirect
14. #82895C2semidirect
15. #82723C2semidirect
16. #82722C2semidirect
17. #82718C2semidirect
18. #82707C2semidirect
19. #82702C2semidirect
20. #82702C2semidirect
21. #82691C2semidirect
22. #82689C2semidirect
23. #82688C2semidirect
24. #82640C2semidirect
25. #82639C2semidirect
26. #82609C2semidirect
27. #82608C2semidirect
28. #82605C2semidirect
29. #82604C2semidirect
30. #82604C2semidirect
31. #82596C2semidirect
36. C22×D3×D4C22semidirect
37. C23×C4×D3C22semidirect
39. C2×C3×#127C22semidirect
40. C2×C3×#126C22semidirect
41. C2×C3×#126C22semidirect
42. C2×C3×#123C22semidirect
43. C2×C3×#123C22semidirect
44. C2×C3×#123C22semidirect
46. C2×C3×#121C22semidirect
47. C2×C3×#121C22semidirect
48. C2×C3×#121C22semidirect
49. C2×C3×#121C22semidirect
50. C2×C3×#121C22semidirect
51. C2×C3×#120C22semidirect
52. C2×C3×#120C22semidirect
53. C2×C3×#120C22semidirect
54. C2×#953C22semidirect
55. C2×#953C22semidirect
56. C2×#940C22semidirect
58. C2×#939C22semidirect
59. C2×#939C22semidirect
60. C2×#939C22semidirect
64. C2×#938C22semidirect
70. C2×#937C22semidirect
71. C2×#937C22semidirect
72. C2×#935C22semidirect
73. C2×#930C22semidirect
74. C2×#930C22semidirect
75. C2×C4×#67C22semidirect
76. C22×(C2×D3)⋊C4C22semidirect
78. C2×#895C22semidirect
79. C2×D3×C4⋊C4C22semidirect
81. C2×#884C22semidirect
83. C2×D3×C22⋊C4C22semidirect
84. #5247C22semidirect
85. #5223C22semidirect
86. #5223C22semidirect
87. #5223C22semidirect
88. #5223C22semidirect
89. #5223C22semidirect
90. #5223C22semidirect
91. #5223C22semidirect
92. #5223C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5221C22semidirect
104. #5221C22semidirect
105. #5220C22semidirect
106. #5220C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
113. #5213C22semidirect
114. #5213C22semidirect
115. #5213C22semidirect
116. #5212C22semidirect
117. #5211C22semidirect
118. #5211C22semidirect
119. #5210C22semidirect
120. #4994C22semidirect
121. #4994C22semidirect
122. #4992C22semidirect
123. #4992C22semidirect
124. #4992C22semidirect
125. #4991C22semidirect
126. #4991C22semidirect
127. #4990C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
130. #4989C22semidirect
131. #4989C22semidirect
132. #4989C22semidirect
133. #4988C22semidirect
134. #4987C22semidirect
135. #4987C22semidirect
136. #4987C22semidirect
137. #4986C22semidirect
138. #4985C22semidirect
139. #4982C22semidirect
140. #4980C22semidirect
141. #4980C22semidirect
142. #4961C22semidirect
143. #4961C22semidirect
144. #4961C22semidirect
145. #4961C22semidirect
146. #4960C22semidirect
147. #4960C22semidirect
148. #4960C22semidirect
149. #4960C22semidirect
150. #4960C22semidirect
151. #4960C22semidirect
152. #4959C22semidirect
153. #4959C22semidirect
154. #4959C22semidirect
155. #4959C22semidirect
156. #4958C22semidirect
157. #4958C22semidirect
158. #4957C22semidirect
165. #4956C22semidirect
166. #4956C22semidirect
167. #4956C22semidirect
168. #4956C22semidirect
169. #4956C22semidirect
172. #4955C22semidirect
173. #4953C22semidirect
174. #4953C22semidirect
175. #4952C22semidirect
176. #4952C22semidirect
177. #4951C22semidirect
178. #4951C22semidirect
179. #4950C22semidirect
180. #4950C22semidirect
181. #4949C22semidirect
182. #4948C22semidirect
183. #4945C22semidirect
184. #4945C22semidirect
185. #4943C22semidirect
186. #4940C22semidirect
187. #4939C22semidirect
188. C4×(C2×D3)⋊C4C22semidirect
189. #4933C22semidirect
190. C2×#560D3semidirect
296. C3×#121D4semidirect
442. C2×#127C2×D3semidirect
443. C2×#126C2×D3semidirect
444. C2×#126C2×D3semidirect
446. C2×#123C2×D3semidirect
447. C2×#123C2×D3semidirect
448. C2×#123C2×D3semidirect
464. C2×#121C2×D3semidirect
465. C2×#121C2×D3semidirect
466. C2×#121C2×D3semidirect
467. C2×#121C2×D3semidirect
468. C2×#121C2×D3semidirect
478. C2×#120C2×D3semidirect
479. C2×#120C2×D3semidirect
480. C2×#120C2×D3semidirect
665. C2×C3×D4C2×D4semidirect
674. C22×C3×C4C2×D4semidirect
796. C3×C4⋊C4C2×D4semidirect
808. C3×C22⋊C4C2×D4semidirect
961. #121#67semidirect
1432. C2×D4C2×#67semidirect
1481. C22×C4C2×#67semidirect
1507. C4⋊C4C2×#67semidirect
1567. C22⋊C4C2×#67semidirect
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×C3×#5602
C2×D3×#1212
#831822
#831752
#831172
#831152
#830822
#830812
#829122
#829112
#829092
#829062
#828972
#828952
#827232
#827222
#827182
#827072
#827022
#826912
#826892
#826882
#826402
#826392
#826092
#826082
#826052
#826042
#825962
#454443