Finite Group Databasebeta

← #35611130

Subgroups — #35611130

Order 21248.

4154 conjugacy classes of subgroups.

The subgroup lattice has 2158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128267C211yesmaximal, characteristic, complemented
2C2×#120×D83C211yesmaximal, characteristic, complemented
3#24915741C211yesmaximal, characteristic, complemented
4#24915739C211yesmaximal, characteristic, complemented
5#24913845C211yesmaximal, characteristic, complemented
6#24913843C211yesmaximal, characteristic, complemented
7#24913840C211yesmaximal, characteristic, complemented
8#24913838C211yesmaximal, characteristic, complemented
9#24913679C211yesmaximal, characteristic, complemented
10#24913677C211yesmaximal, characteristic, complemented
11#24913675C211yesmaximal, characteristic, complemented
12#24913674C211yesmaximal, characteristic, complemented
13#24913673C211yesmaximal, characteristic, complemented
14#24913672C211yesmaximal, characteristic, complemented
15#24913669C211yesmaximal, characteristic, complemented
16#24913669C211yesmaximal, characteristic, complemented
17#24913668C211yesmaximal, characteristic, complemented
18#24913667C211yesmaximal, characteristic, complemented
19#24913666C211yesmaximal, characteristic, complemented
20#24913237C211yesmaximal, characteristic, complemented
21#24913235C211yesmaximal, characteristic, complemented
22#24911738C211yesmaximal, characteristic, complemented
23#24911732C211yesmaximal, characteristic, complemented
24#24910836C211yesmaximal, characteristic, complemented
25#24910834C211yesmaximal, characteristic, complemented
26#24910832C211yesmaximal, characteristic, complemented
27#24910830C211yesmaximal, characteristic, complemented
28#24910780C211yesmaximal, characteristic, complemented
29#24910780C211yesmaximal, characteristic, complemented
30#24910037C211yesmaximal, characteristic, complemented
31C83×#2668C211yesmaximal, characteristic, complemented
32C25×D83C2211yescharacteristic
33C22×#13050590C2211yescharacteristic, complemented
34C22×D4×D83C2211yescharacteristic
35C22×D4×D83C2211yescharacteristic
36C22×D4×D83C2211yescharacteristic
37#19128267—28no—
38C2×#14581788C2211yescharacteristic, complemented
39C2×#14581788C2211yescharacteristic, complemented
40C2×#14581778C2211yescharacteristic, complemented
41C2×#14581778C2211yescharacteristic, complemented
42C2×#14581767C2211yescharacteristic, complemented
43C2×#14581767C2211yescharacteristic, complemented
44C2×#14581766C2211yescharacteristic, complemented
45C2×#14581766C2211yescharacteristic, complemented
46C2×#14581765C2211yescharacteristic, complemented
47C2×#14581765C2211yescharacteristic, complemented
48C2×#14581764C2211yescharacteristic, complemented
49C2×#14581764C2211yescharacteristic, complemented
50C2×#14581763C2211yescharacteristic, complemented
51C2×#14581763C2211yescharacteristic, complemented
52C2×#14581762C2211yescharacteristic
53C2×#14581762C2211yescharacteristic
54C2×#14581762C2211yescharacteristic
55C2×#14581762C2211yescharacteristic
56C2×#14581762C2211yescharacteristic
57C2×#14581762C2211yescharacteristic
58C2×#14581762C2211yescharacteristic, complemented
59C2×#14581762C2211yescharacteristic, complemented
60C2×#14581762C2211yescharacteristic, complemented
61C2×#14581762C2211yescharacteristic, complemented
62C2×#14581761C2211yescharacteristic
63C2×#14581761C2211yescharacteristic, complemented
64C2×#14581760C2211yescharacteristic
65C2×#14581760C2211yescharacteristic
66C2×#14581760C2211yescharacteristic
67C2×#14581760C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×#14581760C2211yescharacteristic
70C2×#14581760C2211yescharacteristic, complemented
71C2×#14581760C2211yescharacteristic, complemented
72C2×#14581760C2211yescharacteristic, complemented
73C2×#14581760C2211yescharacteristic, complemented
74#120×D83—28no—
75C2×#14581750C2211yescharacteristic, complemented
76C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
77C2×C22⋊C4×D83C2211yescharacteristic
78C2×C22⋊C4×D83C2211yescharacteristic
79C2×C22⋊C4×D83C2211yescharacteristic
80C2×C22⋊C4×D83C2211yescharacteristic, complemented
81#19127638C2211yescharacteristic, complemented
82#19127637C2211yescharacteristic, complemented
83#19127636C2211yescharacteristic, complemented
84#19127630C2211yescharacteristic, complemented
85#19127630C2211yescharacteristic, complemented
86#19127629C2211yescharacteristic, complemented
87#19127629C2211yescharacteristic, complemented
88#19127628C2211yescharacteristic, complemented
89#19127628C2211yescharacteristic, complemented
90#19127627C2211yescharacteristic, complemented
91#19127627C2211yescharacteristic, complemented
92#19127626C2211yescharacteristic, complemented
93#19127626C2211yescharacteristic, complemented
94#19127619C2211yescharacteristic, complemented
95#19127619C2211yescharacteristic, complemented
96#19127618C2211yescharacteristic, complemented
97#19127618C2211yescharacteristic, complemented
98#19127617C2211yescharacteristic, complemented
99#19127617C2211yescharacteristic, complemented
100#19127617C2211yescharacteristic, complemented
101#19127617C2211yescharacteristic, complemented
102#19127616C2211yescharacteristic, complemented
103#19127616C2211yescharacteristic, complemented
104#19127616C2211yescharacteristic, complemented
105#19127616C2211yescharacteristic, complemented
106#19127615C2211yescharacteristic, complemented
107#19127615C2211yescharacteristic, complemented
108#19127614C2211yescharacteristic, complemented
109#19127614C2211yescharacteristic, complemented
110#19127613C2211yescharacteristic, complemented
111#19127613C2211yescharacteristic, complemented
112#19127611C2211yescharacteristic, complemented
113#19127610C2211yescharacteristic, complemented
114#19127610C2211yescharacteristic, complemented
115#19127610C2211yescharacteristic, complemented
116#19127610C2211yescharacteristic, complemented
117#19127610C2211yescharacteristic, complemented
118#19127609C2211yescharacteristic, complemented
119#19127609C2211yescharacteristic, complemented
120#19127609C2211yescharacteristic, complemented
121#19127609C2211yescharacteristic, complemented
122#19127609C2211yescharacteristic, complemented
123#19127595C2211yescharacteristic, complemented
124#19127595C2211yescharacteristic, complemented
125#19127594C2211yescharacteristic, complemented
126#19127594C2211yescharacteristic, complemented
127#19127591C2211yescharacteristic, complemented
128#19127591C2211yescharacteristic, complemented
129#19127590C2211yescharacteristic, complemented
130#19127590C2211yescharacteristic, complemented
131#19127581C2211yescharacteristic, complemented
132#19127581C2211yescharacteristic, complemented
133#19127580C2211yescharacteristic, complemented
134#19127580C2211yescharacteristic, complemented
135#19127580C2211yescharacteristic, complemented
136#19127580C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic, complemented
138#19127579C2211yescharacteristic, complemented
139#19127579C2211yescharacteristic, complemented
140#19127579C2211yescharacteristic, complemented
141#19127579C2211yescharacteristic, complemented
142#19127579C2211yescharacteristic, complemented
143#19127579C2211yescharacteristic, complemented
144#19127579C2211yescharacteristic, complemented
145#19127578C2211yescharacteristic, complemented
146#19127578C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127577C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic, complemented
150#19127577C2211yescharacteristic, complemented
151#19127577C2211yescharacteristic, complemented
152#19127577C2211yescharacteristic, complemented
153#19127577C2211yescharacteristic, complemented
154#19127577C2211yescharacteristic, complemented
155#19127575C2211yescharacteristic, complemented
156#19127575C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127557C2211yescharacteristic, complemented
162#19127556C2211yescharacteristic
163#19127556C2211yescharacteristic
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#19127556C2211yescharacteristic, complemented
173#19127556C2211yescharacteristic, complemented
174C2×#121×C83C2211yescharacteristic, complemented
175C2×#121×C83C2211yescharacteristic, complemented
176C2×#120×C83C2211yescharacteristic
177C2×#120×C83C2211yescharacteristic, complemented
178#399×C83C2211yescharacteristic, complemented
179#397×C83C2211yescharacteristic, complemented
180#397×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#394×C83C2211yescharacteristic, complemented
183#392×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#386×C83C2211yescharacteristic, complemented
188#379×C83C2211yescharacteristic, complemented
189C24×D83—24no—
190C24×D83—42no—
191C24×D83—42no—
192C24×D83—42no—
193C24×D83—42no—
194C24×D83—42no—
195C24×D83—42no—
196C24×D83C2311yescharacteristic
197C24×D83C2311yescharacteristic
198C24×D83C2311yescharacteristic
199C24×D83C2311yescharacteristic
200C24×D83C2311yescharacteristic
201C24×D83C2311yescharacteristic
202C24×D83C2311yescharacteristic
203C2×#13050590—24no—
204C2×#13050590—42no—
205C2×#13050590—42no—
206C22×Dic166C2311yescharacteristic, complemented
207C22×D332C2311yescharacteristic
208C22×D332C2311yescharacteristic
209C22×D332C2311yescharacteristic
210C22×D332C2311yescharacteristic
211C22×D332C2311yescharacteristic
212C22×D332C2311yescharacteristic
213C22×D332C2311yescharacteristic
214C22×D332C2311yescharacteristic, complemented
215C22×C22⋊D83C2311yescharacteristic
216C22×C22⋊D83C2311yescharacteristic
217C22×C22⋊D83C2311yescharacteristic
218C22×C22⋊D83C2311yescharacteristic
219C22×C22⋊D83C2311yescharacteristic
220C22×C22⋊D83C2311yescharacteristic
221C22×C22⋊D83C2311yescharacteristic
222C22×C22⋊D83C2311yescharacteristic
223C22×C22⋊D83C2311yescharacteristic
224C22×C22⋊D83C2311yescharacteristic
225C22×C22⋊D83C2311yescharacteristic
226C22×C22⋊D83C2311yescharacteristic
227C22×C22⋊D83C2311yescharacteristic
228C22×C22⋊D83C2311yescharacteristic, complemented
229C22×C22⋊D83C2311yescharacteristic, complemented
230C22×C22⋊D83C2311yescharacteristic, complemented
231C2×D4×D83—24no—
232C2×D4×D83—24no—
233C2×D4×D83—42no—
234C2×D4×D83—42no—
235C2×D4×D83—42no—
236C2×D4×D83—42no—
237C2×D4×D83—42no—
238C2×D4×D83—42no—
239C2×D4×D83D418yescomplemented
240C23×Dic83C2311yescharacteristic, complemented
241C22×C4×D83C2311yescharacteristic
242C22×C4×D83C2311yescharacteristic
243C22×C4×D83C2311yescharacteristic
244C22×C4×D83C2311yescharacteristic, complemented
245C22×C4×D83C2311yescharacteristic, complemented
246C22×C4×D83C2311yescharacteristic, complemented
247#14581788—24no—
248#14581788—24no—
249#14581778—24no—
250#14581778—24no—
251#14581767—24no—
252#14581767—42no—
253#14581766—24no—
254#14581766—42no—
255#14581765—42no—
256#14581765—42no—
257#14581764—42no—
258#14581764—42no—
259#14581763—24no—
260#14581763—42no—
261#14581762—24no—
262#14581762—24no—
263#14581762—24no—
264#14581762—24no—
265#14581762—24no—
266#14581762—42no—
267#14581762—42no—
268#14581762—42no—
269#14581762—42no—
270#14581762—42no—
271#14581761—24no—
272#14581761—42no—
273#14581760—24no—
274#14581760—24no—
275#14581760—24no—
276#14581760—24no—
277#14581760—24no—
278#14581760—42no—
279#14581760—42no—
280#14581760—42no—
281#14581760—42no—
282#14581760—42no—
283#14581750—24no—
284C2×C4⋊Dic83C2311yescharacteristic, complemented
285C2×C4⋊Dic83C2311yescharacteristic, complemented
286C2×C4⋊Dic83C2311yescharacteristic, complemented
287C2×Dic83⋊C4C2311yescharacteristic, complemented
288C2×Dic83⋊C4C2311yescharacteristic, complemented
289C2×Dic83⋊C4C2311yescharacteristic, complemented
290C2×Dic83⋊C4C2311yescharacteristic, complemented
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×C22⋊Dic83C2311yescharacteristic
299C2×C22⋊Dic83C2311yescharacteristic
300C2×C22⋊Dic83C2311yescharacteristic
301C2×C22⋊Dic83C2311yescharacteristic
302C2×C22⋊Dic83C2311yescharacteristic
303C2×C22⋊Dic83C2311yescharacteristic, complemented
304C2×C22⋊Dic83C2311yescharacteristic, complemented
305C2×C22⋊Dic83C2311yescharacteristic, complemented
306C2×C22⋊Dic83C2311yescharacteristic, complemented
307C2×(C2×D83)⋊C4—42no—
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×(C2×D83)⋊C4C2311yescharacteristic
324C2×(C2×D83)⋊C4C2311yescharacteristic
325C2×(C2×D83)⋊C4C2311yescharacteristic
326C2×(C2×D83)⋊C4C2311yescharacteristic
327C2×(C2×D83)⋊C4C2311yescharacteristic
328C2×(C2×D83)⋊C4C2311yescharacteristic
329C2×(C2×D83)⋊C4C2311yescharacteristic
330C2×(C2×D83)⋊C4C2311yescharacteristic
331C2×(C2×D83)⋊C4C2311yescharacteristic
332C2×(C2×D83)⋊C4C2311yescharacteristic
333C2×(C2×D83)⋊C4C2311yescharacteristic
334C2×(C2×D83)⋊C4C2311yescharacteristic
335C2×(C2×D83)⋊C4C2311yescharacteristic
336C2×(C2×D83)⋊C4C2311yescharacteristic
337C2×(C2×D83)⋊C4C2311yescharacteristic
338C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
339C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
340C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
341C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
342C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
343C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
344C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
345C2×(C2×D83)⋊C4C2311yescharacteristic, complemented
346C22⋊C4×D83—24no—
347C22⋊C4×D83—24no—
348C22⋊C4×D83—24no—
349C22⋊C4×D83—42no—
350C2×C4×Dic83C2311yescharacteristic, complemented
351C2×C4×Dic83C2311yescharacteristic, complemented
352C83⋊#95C2311yescharacteristic, complemented
353C83⋊#95C2311yescharacteristic, complemented
354C83⋊#95C2311yescharacteristic, complemented
355C83⋊#95C2311yescharacteristic, complemented
356C83⋊#95C2311yescharacteristic, complemented
357C83⋊#95C2311yescharacteristic, complemented
358C83⋊#95C2311yescharacteristic, complemented
359C83⋊#95C2311yescharacteristic, complemented
360C83⋊#95C2311yescharacteristic, complemented
361C83⋊#95C2311yescharacteristic, complemented
362C83⋊#95C2311yescharacteristic, complemented
363C83⋊#95C2311yescharacteristic, complemented
364C83⋊#95C2311yescharacteristic, complemented
365C83⋊#95C2311yescharacteristic, complemented
366C83⋊#95C2311yescharacteristic, complemented
367C83⋊#95C2311yescharacteristic, complemented
368C83⋊#95C2311yescharacteristic, complemented
369C83⋊#95C2311yescharacteristic, complemented
370C25×C83C2311yescharacteristic
371C22×D4×C83C2311yescharacteristic
372C22×D4×C83C2311yescharacteristic
373C22×D4×C83C2311yescharacteristic
374C22×D4×C83C2311yescharacteristic
375C22×D4×C83C2311yescharacteristic
376C22×D4×C83C2311yescharacteristic
377C22×D4×C83C2311yescharacteristic, complemented
378C23×C4×C83C2311yescharacteristic, complemented
379C23×C4×C83C2311yescharacteristic, complemented
380#121×C83—24no—
381#121×C83—42no—
382#120×C83—24no—
383#120×C83—42no—
384C2×C4⋊C4×C83C2311yescharacteristic, complemented
385C2×C4⋊C4×C83C2311yescharacteristic, complemented
386C2×C4⋊C4×C83C2311yescharacteristic, complemented
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C22⋊C4×C83C2311yescharacteristic
390C2×C22⋊C4×C83C2311yescharacteristic
391C2×C22⋊C4×C83C2311yescharacteristic
392C2×C22⋊C4×C83C2311yescharacteristic
393C2×C22⋊C4×C83C2311yescharacteristic
394C2×C22⋊C4×C83C2311yescharacteristic
395C2×C22⋊C4×C83C2311yescharacteristic
396C2×C22⋊C4×C83C2311yescharacteristic
397C2×C22⋊C4×C83C2311yescharacteristic
398C2×C22⋊C4×C83C2311yescharacteristic
399C2×C22⋊C4×C83C2311yescharacteristic, complemented
400C2×C22⋊C4×C83C2311yescharacteristic, complemented
401C2×C22⋊C4×C83C2311yescharacteristic, complemented
402C2×C22⋊C4×C83C2311yescharacteristic, complemented
403#95×C83C2311yescharacteristic, complemented
404#95×C83C2311yescharacteristic, complemented
405#95×C83C2311yescharacteristic, complemented
406#95×C83C2311yescharacteristic, complemented
407#95×C83C2311yescharacteristic, complemented
408#95×C83C2311yescharacteristic, complemented
409C23×D83—22no—
410C23×D83—22no—
411C23×D83—22no—
412C23×D83—22no—
413C23×D83—22no—
414C23×D83—22no—
415C23×D83—22no—
416C23×D83—22no—
417C23×D83—22no—
418C23×D83—22no—
419C23×D83—22no—
420C23×D83—22no—
421C23×D83—22no—
422C23×D83—22no—
423C23×D83—22no—
424C23×D83—22no—
425C23×D83—22no—
426C23×D83—22no—
427C23×D83—22no—
428C23×D83—22no—
429C23×D83—22no—
430C23×D83—22no—
431C23×D83—22no—
432C23×D83—41no—
433C23×D83—41no—
434C23×D83—41no—
435C23×D83—41no—
436C23×D83—41no—
437C23×D83—41no—
438C23×D83—41no—
439C23×D83—41no—
440C23×D83—41no—
441C23×D83—41no—
442C23×D83—41no—
443C23×D83—41no—
444C23×D83—41no—
445C23×D83—41no—
446C23×D83—41no—
447C23×D83—41no—
448C23×D83—41no—
449C23×D83—41no—
450C23×D83—41no—
451C23×D83—41no—
452C23×D83—41no—
453C23×D83—41no—
454C23×D83—41no—
455C23×D83—41no—
456C23×D83—416no—
457C23×D83—416no—
458C23×D83—416no—
459C23×D83—416no—
460C23×D83—416no—
461C23×D83—416no—
462C23×D83—416no—
463C23×D83C2×D414yes—
464C23×D83C2×D414yes—
465C23×D83C2411yescharacteristic
466C23×D83C2411yescharacteristic
467C23×D83C2411yescharacteristic
468C23×D83C2411yescharacteristic
469C23×D83C2411yescharacteristic
470C23×D83C2411yescharacteristic
471#13050590—416no—
472C2×Dic166—22no—
473C2×Dic166—41no—
474C2×Dic166—41no—
475C2×D332—22no—
476C2×D332—22no—
477C2×D332—22no—
478C2×D332—22no—
479C2×D332—22no—
480C2×D332—22no—
481C2×D332—22no—
482C2×D332—22no—
483C2×D332—22no—
484C2×D332—22no—
485C2×D332—22no—
486C2×D332—41no—
487C2×D332—41no—
488C2×D332—41no—
489C2×D332—41no—
490C2×D332—41no—
491C2×D332—41no—
492C2×D332—41no—
493C2×D332—41no—
494C2×D332—41no—
495C2×D332—41no—
496C2×D332—41no—
497C2×D332—41no—
498C2×D332C2×D414yes—
499C2×C22⋊D83—22no—
500C2×C22⋊D83—22no—
501C2×C22⋊D83—22no—
502C2×C22⋊D83—22no—
503C2×C22⋊D83—22no—
504C2×C22⋊D83—22no—
505C2×C22⋊D83—22no—
506C2×C22⋊D83—22no—
507C2×C22⋊D83—22no—
508C2×C22⋊D83—22no—
509C2×C22⋊D83—22no—
510C2×C22⋊D83—22no—
511C2×C22⋊D83—22no—
512C2×C22⋊D83—22no—
513C2×C22⋊D83—22no—
514C2×C22⋊D83—22no—
515C2×C22⋊D83—22no—
516C2×C22⋊D83—22no—
517C2×C22⋊D83—22no—
518C2×C22⋊D83—22no—
519C2×C22⋊D83—41no—
520C2×C22⋊D83—41no—
521C2×C22⋊D83—41no—
522C2×C22⋊D83—41no—
523C2×C22⋊D83—41no—
524C2×C22⋊D83—41no—
525C2×C22⋊D83—41no—
526C2×C22⋊D83—41no—
527C2×C22⋊D83—41no—
528C2×C22⋊D83—41no—
529C2×C22⋊D83—41no—
530C2×C22⋊D83—41no—
531C2×C22⋊D83—41no—
532C2×C22⋊D83—41no—
533C2×C22⋊D83—41no—
534C2×C22⋊D83—41no—
535C2×C22⋊D83—41no—
536C2×C22⋊D83—41no—
537C2×C22⋊D83—41no—
538C2×C22⋊D83—41no—
539C2×C22⋊D83—41no—
540C2×C22⋊D83—41no—
541C2×C22⋊D83—41no—
542C2×C22⋊D83—41no—
543C2×C22⋊D83—41no—
544C2×C22⋊D83—41no—
545C2×C22⋊D83C2×D414yes—
546C2×C22⋊D83C2×D414yes—
547D4×D83—416no—
548D4×D83—416no—
549D4×D83—416no—
550C22×Dic83—41no—
551C22×Dic83—41no—
552C22×Dic83—41no—
553C22×Dic83C2411yescharacteristic
554C22×Dic83C2411yescharacteristic
555C22×Dic83C2411yescharacteristic
556C22×Dic83C2411yescharacteristic
557C22×Dic83C2411yescharacteristic
558C22×Dic83C2411yescharacteristic
559C22×Dic83C2411yescharacteristic
560C22×Dic83C2411yescharacteristic
561C22×Dic83C2411yescharacteristic
562C22×Dic83C2411yescharacteristic
563C2×C4×D83—22no—
564C2×C4×D83—22no—
565C2×C4×D83—22no—
566C2×C4×D83—22no—
567C2×C4×D83—22no—
568C2×C4×D83—41no—
569C2×C4×D83—41no—
570C2×C4×D83—41no—
571C2×C4×D83—41no—
572C2×C4×D83—41no—
573C2×C4×D83—41no—
574C2×C4×D83—41no—
575C2×C4×D83—41no—
576C2×C4×D83—41no—
577C2×C4×D83—41no—
578C2×C4×D83—41no—
579C2×C4×D83—41no—
580C2×C4×D83C2×D414yes—
581C4⋊Dic83—22no—
582C4⋊Dic83—41no—
583C4⋊Dic83—41no—
584Dic83⋊C4—41no—
585Dic83⋊C4—41no—
586Dic83⋊C4—41no—
587Dic83⋊C4—41no—
588C22⋊Dic83—22no—
589C22⋊Dic83—22no—
590C22⋊Dic83—22no—
591C22⋊Dic83—22no—
592C22⋊Dic83—22no—
593C22⋊Dic83—22no—
594C22⋊Dic83—22no—
595C22⋊Dic83—41no—
596C22⋊Dic83—41no—
597C22⋊Dic83—41no—
598C22⋊Dic83—41no—
599C22⋊Dic83—41no—
600C22⋊Dic83—41no—
601C22⋊Dic83—41no—
602C22⋊Dic83—41no—
603C22⋊Dic83—41no—
604(C2×D83)⋊C4—22no—
605(C2×D83)⋊C4—22no—
606(C2×D83)⋊C4—22no—
607(C2×D83)⋊C4—22no—
608(C2×D83)⋊C4—22no—
609(C2×D83)⋊C4—22no—
610(C2×D83)⋊C4—22no—
611(C2×D83)⋊C4—22no—
612(C2×D83)⋊C4—22no—
613(C2×D83)⋊C4—22no—
614(C2×D83)⋊C4—22no—
615(C2×D83)⋊C4—22no—
616(C2×D83)⋊C4—22no—
617(C2×D83)⋊C4—22no—
618(C2×D83)⋊C4—22no—
619(C2×D83)⋊C4—22no—
620(C2×D83)⋊C4—22no—
621(C2×D83)⋊C4—22no—
622(C2×D83)⋊C4—22no—
623(C2×D83)⋊C4—22no—
624(C2×D83)⋊C4—41no—
625(C2×D83)⋊C4—41no—
626(C2×D83)⋊C4—41no—
627(C2×D83)⋊C4—41no—
628(C2×D83)⋊C4—41no—
629(C2×D83)⋊C4—41no—
630(C2×D83)⋊C4—41no—
631(C2×D83)⋊C4—41no—
632(C2×D83)⋊C4—41no—
633(C2×D83)⋊C4—41no—
634(C2×D83)⋊C4—41no—
635(C2×D83)⋊C4—41no—
636(C2×D83)⋊C4—41no—
637(C2×D83)⋊C4—41no—
638(C2×D83)⋊C4—41no—
639(C2×D83)⋊C4—41no—
640(C2×D83)⋊C4—41no—
641(C2×D83)⋊C4—41no—
642C4×Dic83—22no—
643C4×Dic83—22no—
644C24×C83—22no—
645C24×C83—22no—
646C24×C83—22no—
647C24×C83—41no—
648C24×C83—41no—
649C24×C83—41no—
650C24×C83—41no—
651C24×C83C2411yescharacteristic
652C24×C83C2411yescharacteristic
653C24×C83C2411yescharacteristic
654C24×C83C2411yescharacteristic
655C24×C83C2411yescharacteristic
656C2×D4×C83—22no—
657C2×D4×C83—22no—
658C2×D4×C83—22no—
659C2×D4×C83—22no—
660C2×D4×C83—22no—
661C2×D4×C83—22no—
662C2×D4×C83—22no—
663C2×D4×C83—22no—
664C2×D4×C83—41no—
665C2×D4×C83—41no—
666C2×D4×C83—41no—
667C2×D4×C83—41no—
668C2×D4×C83—41no—
669C2×D4×C83—41no—
670C2×D4×C83—41no—
671C2×D4×C83—41no—
672C2×D4×C83—41no—
673C2×D4×C83—41no—
674C2×D4×C83—41no—
675C2×D4×C83—41no—
676C2×D4×C83C2×D414yes—
677C22×C4×C83—22no—
678C22×C4×C83—41no—
679C22×C4×C83—41no—
680C22×C4×C83—41no—
681C22×C4×C83—41no—
682C22×C4×C83—41no—
683C22×C4×C83C2411yescharacteristic
684C22×C4×C83C2411yescharacteristic
685C22×C4×C83C2411yescharacteristic
686C22×C4×C83C2411yescharacteristic
687C22×C4×C83C2411yescharacteristic
688C22×C4×C83C2411yescharacteristic
689C22×C4×C83C2411yescharacteristic
690C22×C4×C83C2411yescharacteristic
691C22×C4×C83C2411yescharacteristic
692C22×C4×C83C2411yescharacteristic
693C4⋊C4×C83—22no—
694C4⋊C4×C83—41no—
695C4⋊C4×C83—41no—
696C22⋊C4×C83—22no—
697C22⋊C4×C83—22no—
698C22⋊C4×C83—22no—
699C22⋊C4×C83—22no—
700C22⋊C4×C83—22no—
701C22⋊C4×C83—22no—
702C22⋊C4×C83—22no—
703C22⋊C4×C83—41no—
704C22⋊C4×C83—41no—
705C22⋊C4×C83—41no—
706C22⋊C4×C83—41no—
707C22⋊C4×C83—41no—
708C22⋊C4×C83—41no—
709C22⋊C4×C83—41no—
710C22⋊C4×C83—41no—
711C22⋊C4×C83—41no—
712C23×C83—21no—
713C23×C83—21no—
714C23×C83—21no—
715C23×C83—21no—
716C23×C83—21no—
717C23×C83—21no—
718C23×C83—21no—
719C23×C83—21no—
720C23×C83—21no—
721C23×C83—21no—
722C23×C83—21no—
723C23×C83—21no—
724C23×C83—21no—
725C23×C83—21no—
726C23×C83—21no—
727C23×C83—21no—
728C23×C83—21no—
729C23×C83—21no—
730C23×C83—21no—
731C23×C83—21no—
732C23×C83—21no—
733C23×C83—21no—
734C23×C83—21no—
735C23×C83—21no—
736C23×C83—21no—
737C23×C83—21no—
738C23×C83—21no—
739C23×C83—21no—
740C23×C83—21no—
741C23×C83—21no—
742C23×C83—21no—
743C23×C83—44no—
744C23×C83—44no—
745C23×C83—44no—
746C23×C83—44no—
747C23×C83—44no—
748C23×C83—44no—
749C23×C83—44no—
750C23×C83C22×D412yes—
751C23×C83C22×D412yes—
752C23×C83H(5,𝔽2)12yes—
753C23×C83H(5,𝔽2)12yes—
754C23×C83C2511yescharacteristic
755C22×D83—21no—
756C22×D83—21no—
757C22×D83—21no—
758C22×D83—21no—
759C22×D83—28no—
760C22×D83—28no—
761C22×D83—21no—
762C22×D83—21no—
763C22×D83—21no—
764C22×D83—21no—
765C22×D83—21no—
766C22×D83—21no—
767C22×D83—21no—
768C22×D83—21no—
769C22×D83—21no—
770C22×D83—21no—
771C22×D83—21no—
772C22×D83—21no—
773C22×D83—21no—
774C22×D83—21no—
775C22×D83—21no—
776C22×D83—21no—
777C22×D83—21no—
778C22×D83—21no—
779C22×D83—21no—
780C22×D83—21no—
781C22×D83—21no—
782C22×D83—21no—
783C22×D83—21no—
784C22×D83—21no—
785C22×D83—28no—
786C22×D83—28no—
787C22×D83—21no—
788C22×D83—21no—
789C22×D83—21no—
790C22×D83—21no—
791C22×D83—21no—
792C22×D83—21no—
793C22×D83—21no—
794C22×D83—44no—
795C22×D83—44no—
796C22×D83—44no—
797C22×D83—44no—
798C22×D83—44no—
799C22×D83—44no—
800C22×D83—44no—
801C22×D83—44no—
802C22×D83—44no—
803C22×D83—44no—
804C22×D83—44no—
805C22×D83—44no—
806C22×D83—44no—
807C22×D83—44no—
808C22×D83—44no—
809C22×D83—44no—
810C22×D83—44no—
811C22×D83—44no—
812C22×D83—44no—
813C22×D83—44no—
814C22×D83—44no—
815C22×D83—44no—
816C22×D83—44no—
817C22×D83—44no—
818C22×D83—44no—
819C22×D83—44no—
820C22×D83—44no—
821C22×D83—44no—
822C22×D83—44no—
823C22×D83—44no—
824C22×D83—44no—
825C22×D83—44no—
826C22×D83—44no—
827C22×D83—44no—
828C22×D83—44no—
829C22×D83—44no—
830C22×D83—4128no—
831C22×D83—44no—
832C22×D83—44no—
833C22×D83—44no—
834C22×D83—44no—
835C22×D83—44no—
836C22×D83—82no—
837C22×D83—82no—
838C22×D83—82no—
839C22×D83—82no—
840C22×D83C22×D412yes—
841C22×D83C22×D412yes—
842C22×D83C22×D412yes—
843C22×D83H(5,𝔽2)12yes—
844C22×D83H(5,𝔽2)12yes—
845C22×D83H(5,𝔽2)12yes—
846C22×D83H(5,𝔽2)12yes—
847D4×C83—44no—
848D4×C83—44no—
849D4×C83—44no—
850D4×C83—82no—
851D4×C83—82no—
852D4×C83—82no—
853D4×C83—82no—
854C2×C4×C83—21no—
855C2×C4×C83—21no—
856C2×C4×C83—21no—
857C2×C4×C83—21no—
858C2×C4×C83—21no—
859C2×C4×C83—21no—
860C2×C4×C83—21no—
861C2×C4×C83—21no—
862C2×C4×C83—21no—
863C2×C4×C83—21no—
864C2×C4×C83—21no—
865C2×C4×C83—21no—
866C2×C4×C83—21no—
867C2×C4×C83—21no—
868C2×C4×C83—21no—
869C2×C4×C83—21no—
870C2×C4×C83—21no—
871C2×C4×C83—21no—
872C2×C4×C83—21no—
873C2×C4×C83—21no—
874C2×C4×C83—21no—
875C2×C4×C83—21no—
876C2×C4×C83—21no—
877C2×C4×C83—21no—
878C2×C4×C83—21no—
879C2×C4×C83—21no—
880C2×C4×C83—21no—
881C2×C4×C83—21no—
882C2×C4×C83—21no—
883C2×C4×C83—44no—
884C2×C4×C83—82no—
885C2×C4×C83C22×D412yes—
886C22⋊D83—44no—
887C22⋊D83—44no—
888C22⋊D83—44no—
889C22⋊D83—44no—
890C22⋊D83—44no—
891C22⋊D83—44no—
892C22⋊D83—44no—
893C22⋊D83—44no—
894C22⋊D83—82no—
895C22⋊D83—82no—
896C22⋊D83—82no—
897C22⋊D83—82no—
898C22⋊D83—82no—
899C22⋊D83—82no—
900C22⋊D83—82no—
901C22⋊D83—82no—
902C2×Dic83—21no—
903C2×Dic83—21no—
904C2×Dic83—21no—
905C2×Dic83—21no—
906C2×Dic83—21no—
907C2×Dic83—21no—
908C2×Dic83—21no—
909C2×Dic83—21no—
910C2×Dic83—21no—
911C2×Dic83—21no—
912C2×Dic83—21no—
913C2×Dic83—21no—
914C2×Dic83—21no—
915C2×Dic83—21no—
916C2×Dic83—21no—
917C2×Dic83—21no—
918C2×Dic83—21no—
919C2×Dic83—21no—
920C2×Dic83—21no—
921C2×Dic83—21no—
922C2×Dic83—21no—
923C2×Dic83—21no—
924C2×Dic83—21no—
925C2×Dic83—21no—
926C2×Dic83—21no—
927C2×Dic83—21no—
928C2×Dic83—21no—
929C2×Dic83—21no—
930C2×Dic83—21no—
931C2×Dic83—82no—
932C2×Dic83C22×D412yes—
933D332—44no—
934D332—44no—
935D332—44no—
936D332—44no—
937D332—82no—
938D332—82no—
939D332—82no—
940D332—82no—
941C4×D83—28no—
942C4×D83—44no—
943C4×D83—44no—
944C4×D83—44no—
945C4×D83—82no—
946C4×D83—82no—
947Dic166—44no—
948C22×C83—22no—
949C22×C83—22no—
950C22×C83—22no—
951C22×C83—22no—
952C22×C83—22no—
953C22×C83—22no—
954C22×C83—22no—
955C22×C83—22no—
956C22×C83—22no—
957C22×C83—22no—
958C22×C83—22no—
959C22×C83—22no—
960C22×C83—416no—
961C22×C83—41no—
962C22×C83—41no—
963C22×C83—41no—
964C22×C83—41no—
965C22×C83—41no—
966C22×C83—41no—
967C22×C83—41no—
968C22×C83—41no—
969C22×C83—41no—
970C22×C83—41no—
971C22×C83—41no—
972C22×C83—41no—
973C22×C83—41no—
974C22×C83—41no—
975C22×C83—41no—
976C22×C83—41no—
977C22×C83—41no—
978C22×C83—41no—
979C22×C83—41no—
980C22×C83—41no—
981C22×C83—41no—
982C22×C83—41no—
983C22×C83—41no—
984C22×C83C23×D411yescharacteristic
985C22×C83C2×H(5,𝔽2)11yescharacteristic
986C22×C83C2×H(5,𝔽2)11yescharacteristic
987C22×C83C2×H(5,𝔽2)11yescharacteristic
988C22×C83C2×H(5,𝔽2)11yescharacteristic
989C22×C83C2×H(5,𝔽2)11yescharacteristic
990C22×C83C2×H(5,𝔽2)11yescharacteristic
991C2×D83—22no—
992C2×D83—22no—
993C2×D83—22no—
994C2×D83—22no—
995C2×D83—22no—
996C2×D83—22no—
997C2×D83—22no—
998C2×D83—22no—
999C2×D83—22no—
1000C2×D83—22no—
1001C2×D83—22no—
1002C2×D83—22no—
1003C2×D83—22no—
1004C2×D83—22no—
1005C2×D83—22no—
1006C2×D83—22no—
1007C2×D83—22no—
1008C2×D83—22no—
1009C2×D83—416no—
1010C2×D83—416no—
1011C2×D83—416no—
1012C2×D83—416no—
1013C2×D83—416no—
1014C2×D83—416no—
1015C2×D83—41no—
1016C2×D83—41no—
1017C2×D83—41no—
1018C2×D83—41no—
1019C2×D83—41no—
1020C2×D83—41no—
1021C2×D83—41no—
1022C2×D83—41no—
1023C2×D83—41no—
1024C2×D83—41no—
1025C2×D83—41no—
1026C2×D83—41no—
1027C2×D83—41no—
1028C2×D83—41no—
1029C2×D83—41no—
1030C2×D83—41no—
1031C2×D83—41no—
1032C2×D83—41no—
1033C2×D83—41no—
1034C2×D83—41no—
1035C2×D83—41no—
1036C2×D83—41no—
1037C2×D83—41no—
1038C2×D83—88no—
1039C2×D83#53414yes—
1040C4×C83—22no—
1041C4×C83—41no—
1042C4×C83—41no—
1043C4×C83—41no—
1044C4×C83—41no—
1045C4×C83—41no—
1046C4×C83—41no—
1047C4×C83—41no—
1048C4×C83—41no—
1049C4×C83—41no—
1050Dic83—22no—
1051Dic83—41no—
1052Dic83—41no—
1053Dic83—41no—
1054Dic83—41no—
1055Dic83—41no—
1056Dic83—41no—
1057Dic83—41no—
1058Dic83—41no—
1059Dic83—41no—
1060#36702—831nomaximal, Sylow
1061C2×C83—42no—
1062C2×C83—42no—
1063C2×C83—42no—
1064C2×C83—42no—
1065C2×C83—81no—
1066C2×C83C2×#53411yescharacteristic
1067C2×C83#348411yescharacteristic
1068C2×C83#348411yescharacteristic
1069C2×C83#353211yescharacteristic
1070C2×C83#353211yescharacteristic
1071C2×C83#353211yescharacteristic
1072C2×C83#353211yescharacteristic
1073D83—24no—
1074D83—42no—
1075D83—42no—
1076D83—42no—
1077D83—42no—
1078D83—81no—
1079C2×#535—831no—
1080C22×#120—831no—
1081#2846—831no—
1082#2846—831no—
1083#2684—831no—
1084#2684—831no—
1085#2684—831no—
1086#2684—831no—
1087#2669—831no—
1088#2669—831no—
1089#2669—831no—
1090#2669—831no—
1091#2668—831no—
1092#2668—831no—
1093#2668—831no—
1094#2668—831no—
1095#2668—831no—
1096#2668—831no—
1097#2668—831no—
1098#2668D8311yescharacteristic, complemented
1099#2622—831no—
1100#2622—831no—
1101#2482—831no—
1102#2482—831no—
1103#2410—831no—
1104#2410—831no—
1105#2410—831no—
1106#2410—831no—
1107#2404—831no—
1108#2404—831no—
1109#2308—831no—
1110C83#3670211yescharacteristic, complemented, Sylow
1111C26—831no—
1112C22×#41—831no—
1113C23×D4—831no—
1114C23×D4—831no—
1115C23×D4—831no—
1116#535—1668no—
1117C2×#127—831no—
1118C2×#127—831no—
1119C2×#124—831no—
1120C2×#124—831no—
1121C2×#121—831no—
1122C2×#121—831no—
1123C2×#121—831no—
1124C2×#121—831no—
1125C2×#121—831no—
1126C2×#121—831no—
1127C2×#121—831no—
1128C2×#121—831no—
1129C2×#121—831no—
1130C2×#121—831no—
1131C2×#121C2×D8311yescharacteristic, complemented
1132C2×#121C2×D8311yescharacteristic, complemented
1133C2×#120—831no—
1134C2×#120—831no—
1135C2×#120—831no—
1136C2×#120—831no—
1137C2×#120—831no—
1138C2×#120—831no—
1139C2×#120—831no—
1140C2×#120—831no—
1141C2×#120—831no—
1142C2×#120—831no—
1143C2×#120—831no—
1144C2×#120—831no—
1145C2×#120—831no—
1146C2×#120—831no—
1147C2×#120—831no—
1148C2×#120—831no—
1149C2×#120—831no—
1150C2×#120—831no—
1151C2×#120—831no—
1152C2×#120—831no—
1153C2×#120—831no—
1154C2×#120—831no—
1155C2×#120—1668no—
1156C2×#120C2×D8311yescharacteristic
1157C2×#120C2×D8311yescharacteristic, complemented
1158C2×#117—831no—
1159C22×C22⋊C4—831no—
1160C22×C22⋊C4—831no—
1161C22×C22⋊C4—831no—
1162C22×C22⋊C4—831no—
1163C22×C22⋊C4—831no—
1164#399—831no—
1165#399—831no—
1166#399—831no—
1167#399C2×D8311yescharacteristic, complemented
1168#397—831no—
1169#397—831no—
1170#397—831no—
1171#397—831no—
1172#397—831no—
1173#397—831no—
1174#397—831no—
1175#397—831no—
1176#397—831no—
1177#397—831no—
1178#397C2×D8311yescharacteristic, complemented
1179#397C2×D8311yescharacteristic, complemented
1180#394—831no—
1181#394—831no—
1182#394—831no—
1183#394—831no—
1184#394—831no—
1185#394—831no—
1186#394—831no—
1187#394—831no—
1188#394—831no—
1189#394—831no—
1190#394—831no—
1191#394—831no—
1192#394—831no—
1193#394—831no—
1194#394C2×D8311yescharacteristic, complemented
1195#394C2×D8311yescharacteristic, complemented
1196#393—831no—
1197#393—831no—
1198#393—831no—
1199#393—831no—
1200#392—831no—
1201#392—831no—
1202#392—831no—
1203#392—831no—
1204#392—831no—
1205#392—831no—
1206#392—831no—
1207#392—831no—
1208#392—831no—
1209#392—831no—
1210#392—831no—
1211#392C2×D8311yescharacteristic, complemented
1212#388—831no—
1213#388—831no—
1214#388—831no—
1215#388—831no—
1216#388—831no—
1217#388—831no—
1218#388—831no—
1219#388—831no—
1220#386—831no—
1221#386—831no—
1222#386—831no—
1223#386—831no—
1224#386—831no—
1225#386—831no—
1226#386—831no—
1227#386—831no—
1228#386—831no—
1229#386—831no—
1230#386—831no—
1231#386—831no—
1232#386—831no—
1233#386—831no—
1234#386—831no—
1235#386—831no—
1236#386—831no—
1237#386—831no—
1238#386—831no—
1239#386—831no—
1240#386—831no—
1241#386—831no—
1242#386—831no—
1243#386—831no—
1244#386C2×D8311yescharacteristic, complemented
1245#386C2×D8311yescharacteristic, complemented
1246#386C2×D8311yescharacteristic, complemented
1247#386C2×D8311yescharacteristic, complemented
1248#385—831no—
1249#385—831no—
1250#385—831no—
1251#385—831no—
1252#381—831no—
1253#381—831no—
1254#379—831no—
1255#379—831no—
1256#379—831no—
1257#379—831no—
1258#379—831no—
1259#379—831no—
1260#379—831no—
1261#379—831no—
1262#379—831no—
1263#379—831no—
1264#379—831no—
1265#379—831no—
1266#379—831no—
1267#379C2×D8311yescharacteristic, complemented
1268C25—3322no—
1269C25—3322no—
1270C25—3322no—
1271C25—3322no—
1272C25—3322no—
1273C25—3322no—
1274C25—831no—
1275C25—831no—
1276C25—831no—
1277C25—831no—
1278C25—831no—
1279C25—831no—
1280C25—831no—
1281C25—1664no—
1282C25C22×D8311yescharacteristic
1283C2×#41—3322no—
1284C2×#41—3322no—
1285C2×#41—1664no—
1286C22×Q8—831no—
1287C22×D4—3322no—
1288C22×D4—3322no—
1289C22×D4—3322no—
1290C22×D4—3322no—
1291C22×D4—3322no—
1292C22×D4—3322no—
1293C22×D4—831no—
1294C22×D4—831no—
1295C22×D4—838no—
1296C22×D4—831no—
1297C22×D4—831no—
1298C22×D4—831no—
1299C22×D4—831no—
1300C22×D4—831no—
1301C22×D4—831no—
1302C22×D4—831no—
1303C22×D4—831no—
1304C22×D4—831no—
1305C22×D4—831no—
1306C22×D4—831no—
1307C22×D4—831no—
1308C22×D4—831no—
1309C22×D4—831no—
1310C22×D4—831no—
1311C22×D4—831no—
1312C22×D4—831no—
1313C22×D4—831no—
1314C22×D4—831no—
1315C22×D4—831no—
1316C22×D4—831no—
1317C22×D4—831no—
1318C22×D4—1664no—
1319C22×D4—1664no—
1320C22×D4C22×D8311yescharacteristic
1321C22×D4C22×D8311yescharacteristic
1322C22×D4C22×D8311yescharacteristic
1323C22×D4C22×D8311yescharacteristic
1324C22×D4C22×D8311yescharacteristic
1325C22×D4C22×D8311yescharacteristic
1326C22×D4C22×D8311yescharacteristic, complemented
1327C23×C4—831no—
1328C23×C4—831no—
1329C23×C4—831no—
1330C23×C4—831no—
1331C23×C4—831no—
1332C23×C4—831no—
1333C23×C4—831no—
1334C23×C4C22×D8311yescharacteristic, complemented
1335C23×C4C22×D8311yescharacteristic, complemented
1336#127—1664no—
1337#127—1664no—
1338#124—1664no—
1339#124—1664no—
1340#121—24no—
1341#121—42no—
1342#121—3322no—
1343#121—3322no—
1344#121—3322no—
1345#121—3322no—
1346#121—3322no—
1347#121—3322no—
1348#121—3322no—
1349#121—1664no—
1350#121—1664no—
1351#121—1664no—
1352#120—24no—
1353#120—42no—
1354#120—3322no—
1355#120—3322no—
1356#120—3322no—
1357#120—3322no—
1358#120—3322no—
1359#120—3322no—
1360#120—3322no—
1361#120—3322no—
1362#120—3322no—
1363#120—3322no—
1364#120—3322no—
1365#120—1664no—
1366#120—1664no—
1367#120—1664no—
1368#120—1664no—
1369#120—1664no—
1370#120—1664no—
1371#120—1664no—
1372#120—1664no—
1373#120—1664no—
1374#120—1664no—
1375#120—1664no—
1376#117—1664no—
1377C2×C4⋊C4—831no—
1378C2×C4⋊C4—831no—
1379C2×C4⋊C4—831no—
1380C2×C4⋊C4—831no—
1381C2×C4⋊C4—831no—
1382C2×C4⋊C4—831no—
1383C2×C4⋊C4—831no—
1384C2×C4⋊C4C22×D8311yescharacteristic, complemented
1385C2×C4⋊C4C22×D8311yescharacteristic, complemented
1386C2×C4⋊C4C22×D8311yescharacteristic, complemented
1387C2×C22⋊C4—3322no—
1388C2×C22⋊C4—3322no—
1389C2×C22⋊C4—831no—
1390C2×C22⋊C4—831no—
1391C2×C22⋊C4—831no—
1392C2×C22⋊C4—831no—
1393C2×C22⋊C4—831no—
1394C2×C22⋊C4—831no—
1395C2×C22⋊C4—831no—
1396C2×C22⋊C4—831no—
1397C2×C22⋊C4—831no—
1398C2×C22⋊C4—831no—
1399C2×C22⋊C4—831no—
1400C2×C22⋊C4—831no—
1401C2×C22⋊C4—831no—
1402C2×C22⋊C4—831no—
1403C2×C22⋊C4—831no—
1404C2×C22⋊C4—831no—
1405C2×C22⋊C4—831no—
1406C2×C22⋊C4—831no—
1407C2×C22⋊C4—831no—
1408C2×C22⋊C4—831no—
1409C2×C22⋊C4—831no—
1410C2×C22⋊C4—831no—
1411C2×C22⋊C4—831no—
1412C2×C22⋊C4—831no—
1413C2×C22⋊C4—831no—
1414C2×C22⋊C4—831no—
1415C2×C22⋊C4—831no—
1416C2×C22⋊C4—831no—
1417C2×C22⋊C4—831no—
1418C2×C22⋊C4—831no—
1419C2×C22⋊C4—831no—
1420C2×C22⋊C4—831no—
1421C2×C22⋊C4—831no—
1422C2×C22⋊C4—831no—
1423C2×C22⋊C4—831no—
1424C2×C22⋊C4—831no—
1425C2×C22⋊C4—831no—
1426C2×C22⋊C4—831no—
1427C2×C22⋊C4—831no—
1428C2×C22⋊C4—831no—
1429C2×C22⋊C4—831no—
1430C2×C22⋊C4—831no—
1431C2×C22⋊C4—831no—
1432C2×C22⋊C4—831no—
1433C2×C22⋊C4—831no—
1434C2×C22⋊C4—831no—
1435C2×C22⋊C4—831no—
1436C2×C22⋊C4—831no—
1437C2×C22⋊C4—831no—
1438C2×C22⋊C4—831no—
1439C2×C22⋊C4—831no—
1440C2×C22⋊C4—831no—
1441C2×C22⋊C4—831no—
1442C2×C22⋊C4—831no—
1443C2×C22⋊C4—1664no—
1444C2×C22⋊C4—1664no—
1445C2×C22⋊C4—1664no—
1446C2×C22⋊C4C22×D8311yescharacteristic
1447C2×C22⋊C4C22×D8311yescharacteristic
1448C2×C22⋊C4C22×D8311yescharacteristic
1449C2×C22⋊C4C22×D8311yescharacteristic
1450C2×C22⋊C4C22×D8311yescharacteristic
1451C2×C22⋊C4C22×D8311yescharacteristic
1452C2×C22⋊C4C22×D8311yescharacteristic
1453C2×C22⋊C4C22×D8311yescharacteristic
1454C2×C22⋊C4C22×D8311yescharacteristic
1455C2×C22⋊C4C22×D8311yescharacteristic
1456C2×C22⋊C4C22×D8311yescharacteristic
1457C2×C22⋊C4C22×D8311yescharacteristic
1458C2×C22⋊C4C22×D8311yescharacteristic, complemented
1459C2×C22⋊C4C22×D8311yescharacteristic, complemented
1460C2×C22⋊C4C22×D8311yescharacteristic, complemented
1461C2×C22⋊C4C22×D8311yescharacteristic, complemented
1462C2×C42—831no—
1463C2×C42—831no—
1464#95—831no—
1465#95—831no—
1466#95—831no—
1467#95—831no—
1468#95—831no—
1469#95—831no—
1470#95—831no—
1471#95—831no—
1472#95—831no—
1473#95—831no—
1474#95—831no—
1475#95—831no—
1476#95—831no—
1477#95—831no—
1478#95—831no—
1479#95—831no—
1480#95—831no—
1481#95—831no—
1482#95C22×D8311yescharacteristic, complemented
1483#95C22×D8311yescharacteristic, complemented
1484#95C22×D8311yescharacteristic, complemented
1485#95C22×D8311yescharacteristic, complemented
1486#95C22×D8311yescharacteristic, complemented
1487#95C22×D8311yescharacteristic, complemented
1488C24—22no—
1489C24—22no—
1490C24—22no—
1491C24—41no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—3321no—
1496C24—3321no—
1497C24—3321no—
1498C24—3321no—
1499C24—3321no—
1500C24—3321no—
1501C24—3321no—
1502C24—3321no—
1503C24—3321no—
1504C24—3321no—
1505C24—3321no—
1506C24—3321no—
1507C24—3321no—
1508C24—3321no—
1509C24—3321no—
1510C24—3321no—
1511C24—3321no—
1512C24—3321no—
1513C24—3321no—
1514C24—3321no—
1515C24—3321no—
1516C24—3321no—
1517C24—3321no—
1518C24—3321no—
1519C24—33216no—
1520C24—33216no—
1521C24—33216no—
1522C24—33216no—
1523C24—33216no—
1524C24—33216no—
1525C24—33216no—
1526C24—834no—
1527C24—834no—
1528C24—831no—
1529C24—831no—
1530C24—831no—
1531C24—831no—
1532C24—831no—
1533C24—831no—
1534C24—1662no—
1535C24—1662no—
1536C24—1662no—
1537C24—1662no—
1538C24—1662no—
1539C24—1662no—
1540C24—1662no—
1541C24—1662no—
1542C24—1662no—
1543C24—1662no—
1544C24—1662no—
1545C24—1662no—
1546C24—1662no—
1547C24—1662no—
1548C24—1662no—
1549C24—1662no—
1550C24—1662no—
1551C24—1662no—
1552C24—1662no—
1553C24—1662no—
1554C24—1662no—
1555C24—1662no—
1556C24—1662no—
1557C24C23×D8311yescharacteristic
1558C24C23×D8311yescharacteristic
1559C24C23×D8311yescharacteristic
1560C24C23×D8311yescharacteristic
1561C24C23×D8311yescharacteristic
1562#41—33216no—
1563C2×Q8—3321no—
1564C2×Q8—3321no—
1565C2×Q8—1662no—
1566C2×D4—22no—
1567C2×D4—22no—
1568C2×D4—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—41no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—3321no—
1587C2×D4—3321no—
1588C2×D4—3321no—
1589C2×D4—3321no—
1590C2×D4—3321no—
1591C2×D4—3321no—
1592C2×D4—3321no—
1593C2×D4—3321no—
1594C2×D4—3321no—
1595C2×D4—3321no—
1596C2×D4—3321no—
1597C2×D4—3321no—
1598C2×D4—33216no—
1599C2×D4—33216no—
1600C2×D4—33216no—
1601C2×D4—3321no—
1602C2×D4—3321no—
1603C2×D4—3321no—
1604C2×D4—3321no—
1605C2×D4—3321no—
1606C2×D4—3321no—
1607C2×D4—3321no—
1608C2×D4—3321no—
1609C2×D4—3321no—
1610C2×D4—3321no—
1611C2×D4—3321no—
1612C2×D4—3321no—
1613C2×D4—3321no—
1614C2×D4—3321no—
1615C2×D4—3321no—
1616C2×D4—3321no—
1617C2×D4—3321no—
1618C2×D4—3321no—
1619C2×D4—3321no—
1620C2×D4—3321no—
1621C2×D4—3321no—
1622C2×D4—3321no—
1623C2×D4—3321no—
1624C2×D4—3321no—
1625C2×D4—3321no—
1626C2×D4—3321no—
1627C2×D4—834no—
1628C2×D4—834no—
1629C2×D4—834no—
1630C2×D4—1662no—
1631C2×D4—1662no—
1632C2×D4—1662no—
1633C2×D4—1662no—
1634C2×D4—1662no—
1635C2×D4—1662no—
1636C2×D4—1662no—
1637C2×D4—1662no—
1638C2×D4—1662no—
1639C2×D4—1662no—
1640C2×D4—1662no—
1641C2×D4—1662no—
1642C2×D4—1662no—
1643C2×D4—1662no—
1644C2×D4—1662no—
1645C2×D4—1662no—
1646C2×D4—1662no—
1647C2×D4—1662no—
1648C2×D4—1662no—
1649C2×D4—1662no—
1650C2×D4—1662no—
1651C2×D4—1662no—
1652C2×D4—1662no—
1653C2×D4—1662no—
1654C2×D4—1662no—
1655C2×D4—1662no—
1656C2×D4—1662no—
1657C2×D4—1662no—
1658C2×D4—1662no—
1659C2×D4—1662no—
1660C2×D4—1662no—
1661C2×D4D4×D8314yes—
1662C22×C4—22no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—3321no—
1669C22×C4—3321no—
1670C22×C4—3321no—
1671C22×C4—3321no—
1672C22×C4—3321no—
1673C22×C4—3321no—
1674C22×C4—3321no—
1675C22×C4—3321no—
1676C22×C4—3321no—
1677C22×C4—3321no—
1678C22×C4—3321no—
1679C22×C4—3321no—
1680C22×C4—3321no—
1681C22×C4—3321no—
1682C22×C4—3321no—
1683C22×C4—831no—
1684C22×C4—834no—
1685C22×C4—831no—
1686C22×C4—831no—
1687C22×C4—831no—
1688C22×C4—831no—
1689C22×C4—831no—
1690C22×C4—831no—
1691C22×C4—831no—
1692C22×C4—831no—
1693C22×C4—831no—
1694C22×C4—1662no—
1695C22×C4—1662no—
1696C22×C4—1662no—
1697C22×C4—1662no—
1698C22×C4—1662no—
1699C22×C4C23×D8311yescharacteristic
1700C22×C4C23×D8311yescharacteristic
1701C22×C4C23×D8311yescharacteristic
1702C22×C4C23×D8311yescharacteristic
1703C22×C4C23×D8311yescharacteristic
1704C22×C4C23×D8311yescharacteristic
1705C22×C4C23×D8311yescharacteristic
1706C22×C4C23×D8311yescharacteristic
1707C22×C4C23×D8311yescharacteristic
1708C22×C4C23×D8311yescharacteristic
1709C4⋊C4—22no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—3321no—
1713C4⋊C4—3321no—
1714C4⋊C4—3321no—
1715C4⋊C4—3321no—
1716C4⋊C4—3321no—
1717C4⋊C4—3321no—
1718C4⋊C4—1662no—
1719C22⋊C4—22no—
1720C22⋊C4—22no—
1721C22⋊C4—22no—
1722C22⋊C4—22no—
1723C22⋊C4—22no—
1724C22⋊C4—22no—
1725C22⋊C4—22no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—41no—
1730C22⋊C4—41no—
1731C22⋊C4—41no—
1732C22⋊C4—41no—
1733C22⋊C4—41no—
1734C22⋊C4—41no—
1735C22⋊C4—3321no—
1736C22⋊C4—3321no—
1737C22⋊C4—3321no—
1738C22⋊C4—3321no—
1739C22⋊C4—3321no—
1740C22⋊C4—3321no—
1741C22⋊C4—3321no—
1742C22⋊C4—3321no—
1743C22⋊C4—3321no—
1744C22⋊C4—3321no—
1745C22⋊C4—3321no—
1746C22⋊C4—3321no—
1747C22⋊C4—3321no—
1748C22⋊C4—3321no—
1749C22⋊C4—3321no—
1750C22⋊C4—3321no—
1751C22⋊C4—3321no—
1752C22⋊C4—3321no—
1753C22⋊C4—3321no—
1754C22⋊C4—3321no—
1755C22⋊C4—3321no—
1756C22⋊C4—3321no—
1757C22⋊C4—3321no—
1758C22⋊C4—3321no—
1759C22⋊C4—3321no—
1760C22⋊C4—3321no—
1761C22⋊C4—3321no—
1762C22⋊C4—1662no—
1763C22⋊C4—1662no—
1764C22⋊C4—1662no—
1765C22⋊C4—1662no—
1766C22⋊C4—1662no—
1767C22⋊C4—1662no—
1768C22⋊C4—1662no—
1769C22⋊C4—1662no—
1770C22⋊C4—1662no—
1771C22⋊C4—1662no—
1772C22⋊C4—1662no—
1773C22⋊C4—1662no—
1774C22⋊C4—1662no—
1775C22⋊C4—1662no—
1776C22⋊C4—1662no—
1777C22⋊C4—1662no—
1778C22⋊C4—1662no—
1779C22⋊C4—1662no—
1780C22⋊C4—1662no—
1781C22⋊C4—1662no—
1782C22⋊C4—1662no—
1783C22⋊C4—1662no—
1784C22⋊C4—1662no—
1785C22⋊C4—1662no—
1786C22⋊C4—1662no—
1787C22⋊C4—1662no—
1788C22⋊C4—1662no—
1789C42—1662no—
1790C42—1662no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—3324no—
1830C23—3324no—
1831C23—3324no—
1832C23—3324no—
1833C23—3324no—
1834C23—3324no—
1835C23—3324no—
1836C23—3324no—
1837C23—3324no—
1838C23—3324no—
1839C23—3324no—
1840C23—3324no—
1841C23—3324no—
1842C23—3324no—
1843C23—3324no—
1844C23—3324no—
1845C23—3324no—
1846C23—332128no—
1847C23—3324no—
1848C23—3324no—
1849C23—3324no—
1850C23—3324no—
1851C23—3324no—
1852C23—3324no—
1853C23—3324no—
1854C23—3324no—
1855C23—3324no—
1856C23—3324no—
1857C23—3324no—
1858C23—3324no—
1859C23—3324no—
1860C23—3324no—
1861C23—3324no—
1862C23—3324no—
1863C23—3324no—
1864C23—3324no—
1865C23—3324no—
1866C23—3324no—
1867C23—3324no—
1868C23—3324no—
1869C23—3324no—
1870C23—3324no—
1871C23—832no—
1872C23—832no—
1873C23—832no—
1874C23—832no—
1875C23—832no—
1876C23—832no—
1877C23—832no—
1878C23—6642no—
1879C23—6642no—
1880C23—6642no—
1881C23—6642no—
1882C23—1668no—
1883C23—1668no—
1884C23—1668no—
1885C23—1668no—
1886C23—1661no—
1887C23—1661no—
1888C23—1661no—
1889C23—1661no—
1890C23—1661no—
1891C23—1661no—
1892C23—1661no—
1893C23—1661no—
1894C23—1661no—
1895C23—1661no—
1896C23—1661no—
1897C23—1661no—
1898C23—1661no—
1899C23—1661no—
1900C23—1661no—
1901C23—1661no—
1902C23—1661no—
1903C23—1661no—
1904C23—1661no—
1905C23—1661no—
1906C23—1661no—
1907C23—1661no—
1908C23—1661no—
1909C23—1661no—
1910C23—1661no—
1911C23—1661no—
1912C23—1661no—
1913C23—1661no—
1914C23—1661no—
1915C23—1661no—
1916C23—1661no—
1917C23—1661no—
1918C23—1661no—
1919C23—1661no—
1920C23—1661no—
1921C23C2×D4×D8312yes—
1922C23C2×D4×D8312yes—
1923C23#1458183712yes—
1924C23#1458183812yes—
1925C23C24×D8311yescharacteristic
1926Q8—3324no—
1927D4—44no—
1928D4—44no—
1929D4—44no—
1930D4—82no—
1931D4—82no—
1932D4—82no—
1933D4—82no—
1934D4—3324no—
1935D4—3324no—
1936D4—3324no—
1937D4—3324no—
1938D4—3324no—
1939D4—3324no—
1940D4—3324no—
1941D4—3324no—
1942D4—3324no—
1943D4—3324no—
1944D4—3324no—
1945D4—3324no—
1946D4—6642no—
1947D4—6642no—
1948D4—6642no—
1949D4—6642no—
1950D4—6642no—
1951D4—6642no—
1952D4—6642no—
1953D4—6642no—
1954D4—6642no—
1955D4—6642no—
1956D4—6642no—
1957D4—6642no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—44no—
1988C2×C4—82no—
1989C2×C4—3324no—
1990C2×C4—3324no—
1991C2×C4—3324no—
1992C2×C4—832no—
1993C2×C4—6642no—
1994C2×C4—6642no—
1995C2×C4—6642no—
1996C2×C4—1668no—
1997C2×C4—1661no—
1998C2×C4—1661no—
1999C2×C4—1661no—
2000C2×C4—1661no—
2001C2×C4—1661no—
2002C2×C4—1661no—
2003C2×C4—1661no—
2004C2×C4—1661no—
2005C2×C4—1661no—
2006C2×C4—1661no—
2007C2×C4—1661no—
2008C2×C4—1661no—
2009C2×C4—1661no—
2010C2×C4—1661no—
2011C2×C4—1661no—
2012C2×C4—1661no—
2013C2×C4—1661no—
2014C2×C4—1661no—
2015C2×C4—1661no—
2016C2×C4—1661no—
2017C2×C4—1661no—
2018C2×C4—1661no—
2019C2×C4—1661no—
2020C2×C4—1661no—
2021C2×C4—1661no—
2022C2×C4—1661no—
2023C2×C4—1661no—
2024C2×C4—1661no—
2025C2×C4—1661no—
2026C2×C4C2×D4×D8312yes—
2027C22—22no—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—416no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—33216no—
2064C22—33216no—
2065C22—33216no—
2066C22—33216no—
2067C22—33216no—
2068C22—33216no—
2069C22—3321no—
2070C22—3321no—
2071C22—3321no—
2072C22—3321no—
2073C22—3321no—
2074C22—3321no—
2075C22—3321no—
2076C22—3321no—
2077C22—3321no—
2078C22—3321no—
2079C22—3321no—
2080C22—3321no—
2081C22—3321no—
2082C22—3321no—
2083C22—3321no—
2084C22—3321no—
2085C22—3321no—
2086C22—3321no—
2087C22—3321no—
2088C22—3321no—
2089C22—3321no—
2090C22—3321no—
2091C22—3321no—
2092C22—834no—
2093C22—6648no—
2094C22—1662no—
2095C22—1662no—
2096C22—1662no—
2097C22—1662no—
2098C22—1662no—
2099C22—1662no—
2100C22—1662no—
2101C22—1662no—
2102C22—1662no—
2103C22—1662no—
2104C22—1662no—
2105C22—1662no—
2106C22—1662no—
2107C22—1662no—
2108C22—1662no—
2109C22—1662no—
2110C22—1662no—
2111C22—1662no—
2112C22C22×D4×D8311yescharacteristic
2113C22H(5,𝔽2)×D8311yescharacteristic
2114C22H(5,𝔽2)×D8311yescharacteristic
2115C22H(5,𝔽2)×D8311yescharacteristic
2116C22H(5,𝔽2)×D8311yescharacteristic
2117C22C2×#1458183711yescharacteristic
2118C22C2×#1458183811yescharacteristic
2119C4—22no—
2120C4—41no—
2121C4—41no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—3321no—
2130C4—3321no—
2131C4—3321no—
2132C4—3321no—
2133C4—3321no—
2134C4—3321no—
2135C4—3321no—
2136C4—3321no—
2137C4—3321no—
2138C4—1662no—
2139C2—42no—
2140C2—42no—
2141C2—42no—
2142C2—42no—
2143C2—81no—
2144C2—3322no—
2145C2—3322no—
2146C2—3322no—
2147C2—3322no—
2148C2—6641no—
2149C2—1664no—
2150C2#534×D8311yescharacteristic
2151C2#2492109111yescharacteristic
2152C2#2492109311yescharacteristic
2153C2#2492161211yescharacteristic
2154C2#2492161411yescharacteristic
2155C2#2492161511yescharacteristic
2156C2#2492161611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2668C2
hypercenter#2668D83
hypocenterC83#36702
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#19128267C2semidirect
2. C2×#120×D83C2semidirect
3. #24915741C2semidirect
4. #24915739C2semidirect
5. #24913845C2semidirect
6. #24913843C2semidirect
7. #24913840C2semidirect
8. #24913838C2semidirect
9. #24913679C2semidirect
10. #24913677C2semidirect
11. #24913675C2semidirect
12. #24913674C2semidirect
13. #24913673C2semidirect
14. #24913672C2semidirect
15. #24913669C2semidirect
16. #24913669C2semidirect
17. #24913668C2semidirect
18. #24913667C2semidirect
19. #24913666C2semidirect
20. #24913237C2semidirect
21. #24913235C2semidirect
22. #24911738C2semidirect
23. #24911732C2semidirect
24. #24910836C2semidirect
25. #24910834C2semidirect
26. #24910832C2semidirect
27. #24910830C2semidirect
28. #24910780C2semidirect
29. #24910780C2semidirect
30. #24910037C2semidirect
31. C83×#2668C2semidirect
33. C22×#13050590C22semidirect
38. C2×#14581788C22semidirect
39. C2×#14581788C22semidirect
40. C2×#14581778C22semidirect
41. C2×#14581778C22semidirect
42. C2×#14581767C22semidirect
43. C2×#14581767C22semidirect
44. C2×#14581766C22semidirect
45. C2×#14581766C22semidirect
46. C2×#14581765C22semidirect
47. C2×#14581765C22semidirect
48. C2×#14581764C22semidirect
49. C2×#14581764C22semidirect
50. C2×#14581763C22semidirect
51. C2×#14581763C22semidirect
58. C2×#14581762C22semidirect
59. C2×#14581762C22semidirect
60. C2×#14581762C22semidirect
61. C2×#14581762C22semidirect
63. C2×#14581761C22semidirect
70. C2×#14581760C22semidirect
71. C2×#14581760C22semidirect
72. C2×#14581760C22semidirect
73. C2×#14581760C22semidirect
75. C2×#14581750C22semidirect
76. C22×(C2×D83)⋊C4C22semidirect
80. C2×C22⋊C4×D83C22semidirect
81. #19127638C22semidirect
82. #19127637C22semidirect
83. #19127636C22semidirect
84. #19127630C22semidirect
85. #19127630C22semidirect
86. #19127629C22semidirect
87. #19127629C22semidirect
88. #19127628C22semidirect
89. #19127628C22semidirect
90. #19127627C22semidirect
91. #19127627C22semidirect
92. #19127626C22semidirect
93. #19127626C22semidirect
94. #19127619C22semidirect
95. #19127619C22semidirect
96. #19127618C22semidirect
97. #19127618C22semidirect
98. #19127617C22semidirect
99. #19127617C22semidirect
100. #19127617C22semidirect
101. #19127617C22semidirect
102. #19127616C22semidirect
103. #19127616C22semidirect
104. #19127616C22semidirect
105. #19127616C22semidirect
106. #19127615C22semidirect
107. #19127615C22semidirect
108. #19127614C22semidirect
109. #19127614C22semidirect
110. #19127613C22semidirect
111. #19127613C22semidirect
112. #19127611C22semidirect
113. #19127610C22semidirect
114. #19127610C22semidirect
115. #19127610C22semidirect
116. #19127610C22semidirect
117. #19127610C22semidirect
118. #19127609C22semidirect
119. #19127609C22semidirect
120. #19127609C22semidirect
121. #19127609C22semidirect
122. #19127609C22semidirect
123. #19127595C22semidirect
124. #19127595C22semidirect
125. #19127594C22semidirect
126. #19127594C22semidirect
127. #19127591C22semidirect
128. #19127591C22semidirect
129. #19127590C22semidirect
130. #19127590C22semidirect
131. #19127581C22semidirect
132. #19127581C22semidirect
133. #19127580C22semidirect
134. #19127580C22semidirect
135. #19127580C22semidirect
136. #19127580C22semidirect
137. #19127579C22semidirect
138. #19127579C22semidirect
139. #19127579C22semidirect
140. #19127579C22semidirect
141. #19127579C22semidirect
142. #19127579C22semidirect
143. #19127579C22semidirect
144. #19127579C22semidirect
145. #19127578C22semidirect
146. #19127578C22semidirect
147. #19127577C22semidirect
148. #19127577C22semidirect
149. #19127577C22semidirect
150. #19127577C22semidirect
151. #19127577C22semidirect
152. #19127577C22semidirect
153. #19127577C22semidirect
154. #19127577C22semidirect
155. #19127575C22semidirect
156. #19127575C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127563C22semidirect
160. #19127563C22semidirect
161. #19127557C22semidirect
168. #19127556C22semidirect
169. #19127556C22semidirect
170. #19127556C22semidirect
171. #19127556C22semidirect
172. #19127556C22semidirect
173. #19127556C22semidirect
174. C2×#121×C83C22semidirect
175. C2×#121×C83C22semidirect
177. C2×#120×C83C22semidirect
178. #399×C83C22semidirect
179. #397×C83C22semidirect
180. #397×C83C22semidirect
181. #394×C83C22semidirect
182. #394×C83C22semidirect
183. #392×C83C22semidirect
184. #386×C83C22semidirect
185. #386×C83C22semidirect
186. #386×C83C22semidirect
187. #386×C83C22semidirect
188. #379×C83C22semidirect
206. C22×Dic166C23semidirect
214. C22×D332C23semidirect
228. C22×C22⋊D83C23semidirect
229. C22×C22⋊D83C23semidirect
230. C22×C22⋊D83C23semidirect
239. C2×D4×D83D4semidirect
240. C23×Dic83C23semidirect
244. C22×C4×D83C23semidirect
245. C22×C4×D83C23semidirect
246. C22×C4×D83C23semidirect
284. C2×C4⋊Dic83C23semidirect
285. C2×C4⋊Dic83C23semidirect
286. C2×C4⋊Dic83C23semidirect
287. C2×Dic83⋊C4C23semidirect
288. C2×Dic83⋊C4C23semidirect
289. C2×Dic83⋊C4C23semidirect
290. C2×Dic83⋊C4C23semidirect
303. C2×C22⋊Dic83C23semidirect
304. C2×C22⋊Dic83C23semidirect
305. C2×C22⋊Dic83C23semidirect
306. C2×C22⋊Dic83C23semidirect
338. C2×(C2×D83)⋊C4C23semidirect
339. C2×(C2×D83)⋊C4C23semidirect
340. C2×(C2×D83)⋊C4C23semidirect
341. C2×(C2×D83)⋊C4C23semidirect
342. C2×(C2×D83)⋊C4C23semidirect
343. C2×(C2×D83)⋊C4C23semidirect
344. C2×(C2×D83)⋊C4C23semidirect
345. C2×(C2×D83)⋊C4C23semidirect
350. C2×C4×Dic83C23semidirect
351. C2×C4×Dic83C23semidirect
352. C83⋊#95C23semidirect
353. C83⋊#95C23semidirect
354. C83⋊#95C23semidirect
355. C83⋊#95C23semidirect
356. C83⋊#95C23semidirect
357. C83⋊#95C23semidirect
358. C83⋊#95C23semidirect
359. C83⋊#95C23semidirect
360. C83⋊#95C23semidirect
361. C83⋊#95C23semidirect
362. C83⋊#95C23semidirect
363. C83⋊#95C23semidirect
364. C83⋊#95C23semidirect
365. C83⋊#95C23semidirect
366. C83⋊#95C23semidirect
367. C83⋊#95C23semidirect
368. C83⋊#95C23semidirect
369. C83⋊#95C23semidirect
377. C22×D4×C83C23semidirect
378. C23×C4×C83C23semidirect
379. C23×C4×C83C23semidirect
384. C2×C4⋊C4×C83C23semidirect
385. C2×C4⋊C4×C83C23semidirect
386. C2×C4⋊C4×C83C23semidirect
399. C2×C22⋊C4×C83C23semidirect
400. C2×C22⋊C4×C83C23semidirect
401. C2×C22⋊C4×C83C23semidirect
402. C2×C22⋊C4×C83C23semidirect
403. #95×C83C23semidirect
404. #95×C83C23semidirect
405. #95×C83C23semidirect
406. #95×C83C23semidirect
407. #95×C83C23semidirect
408. #95×C83C23semidirect
1098. #2668D83semidirect
1110. C83#36702semidirect
1131. C2×#121C2×D83semidirect
1132. C2×#121C2×D83semidirect
1157. C2×#120C2×D83semidirect
1167. #399C2×D83semidirect
1178. #397C2×D83semidirect
1179. #397C2×D83semidirect
1194. #394C2×D83semidirect
1195. #394C2×D83semidirect
1211. #392C2×D83semidirect
1244. #386C2×D83semidirect
1245. #386C2×D83semidirect
1246. #386C2×D83semidirect
1247. #386C2×D83semidirect
1267. #379C2×D83semidirect
1326. C22×D4C22×D83semidirect
1334. C23×C4C22×D83semidirect
1335. C23×C4C22×D83semidirect
1384. C2×C4⋊C4C22×D83semidirect
1385. C2×C4⋊C4C22×D83semidirect
1386. C2×C4⋊C4C22×D83semidirect
1458. C2×C22⋊C4C22×D83semidirect
1459. C2×C22⋊C4C22×D83semidirect
1460. C2×C22⋊C4C22×D83semidirect
1461. C2×C22⋊C4C22×D83semidirect
1482. #95C22×D83semidirect
1483. #95C22×D83semidirect
1484. #95C22×D83semidirect
1485. #95C22×D83semidirect
1486. #95C22×D83semidirect
1487. #95C22×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282672
C2×#120×D832
#249157412
#249157392
#249138452
#249138432
#249138402
#249138382
#249136792
#249136772
#249136752
#249136742
#249136732
#249136722
#249136692
#249136682
#249136672
#249136662
#249132372
#249132352
#249117382
#249117322
#249108362
#249108342
#249108322
#249108302
#249107802
#249100372
C83×#26682
#3670283