Finite Group Databasebeta

← C103×#34290 #39939565

Subgroups — C103×#34290 #39939565

Order 26368.

3960 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D42×C103C211yesmaximal, characteristic
2C2×#518×C103C211yesmaximal, characteristic, complemented
3C22×C4×D4×C103C211yesmaximal, characteristic, complemented
4C103×#2366C211yesmaximal, characteristic, complemented
5C103×#2364C212yesmaximal, complemented
6C103×#2363C211yesmaximal, characteristic, complemented
7C103×#2361C211yesmaximal, characteristic, complemented
8C103×#2358C212yesmaximal, complemented
9C103×#2358C212yesmaximal, complemented
10C103×#2352C211yesmaximal, characteristic, complemented
11C103×#2349C211yesmaximal, characteristic, complemented
12D4×C22⋊C4×C103C212yesmaximal, complemented
13D4×C22⋊C4×C103C211yesmaximal, characteristic, complemented
14D4×C22⋊C4×C103C211yesmaximal, characteristic, complemented
15C103×#2328C211yesmaximal, characteristic, complemented
16C103×#2325C212yesmaximal, complemented
17C103×#2324C211yesmaximal, characteristic, complemented
18C103×#2321C212yesmaximal, complemented
19C4×#121×C103C211yesmaximal, characteristic, complemented
20C4×#120×C103C212yesmaximal, complemented
21C103×#2290C211yesmaximal, characteristic, complemented
22C2×#386×C103C212yesmaximal, complemented
23C103×#2275C211yesmaximal, characteristic, complemented
24C23×D4×C103C2211yescharacteristic
25C23×D4×C103C2211yescharacteristic
26C23×D4×C103C2212yes—
27C24×C4×C103C2212yescomplemented
28D42×C103C4116yescomplemented
29C2×#127×C103C2211yescharacteristic
30C2×#121×C103C2211yescharacteristic
31C2×#121×C103C2211yescharacteristic
32C2×#121×C103C2212yes—
33C2×#120×C103C2212yes—
34C2×#120×C103C2212yes—
35#518×C103—28no—
36C2×C4×D4×C103—28no—
37C2×C4×D4×C103C2211yescharacteristic
38C2×C4×D4×C103C2211yescharacteristic
39C2×C4×D4×C103C2211yescharacteristic
40C2×C4×D4×C103C2211yescharacteristic
41C2×C4×D4×C103C2211yescharacteristic
42C2×C4×D4×C103C2211yescharacteristic
43C2×C4×D4×C103C2212yescomplemented
44C2×C4×D4×C103C2211yescharacteristic, complemented
45C2×C4×D4×C103C2212yescomplemented
46C2×C4×D4×C103C2211yescharacteristic, complemented
47C2×C4×D4×C103C2212yescomplemented
48C2×C4×D4×C103C2212yescomplemented
49C2×C4×D4×C103C2211yescharacteristic, complemented
50C2×C4×D4×C103C2211yescharacteristic, complemented
51C2×C4×D4×C103C2212yescomplemented
52C2×C4×D4×C103C2212yescomplemented
53C2×C4×D4×C103C2212yescomplemented
54C2×#117×C103C2211yescharacteristic, complemented
55C2×#117×C103C2211yescharacteristic, complemented
56C22×C4⋊C4×C103C2211yescharacteristic, complemented
57C22×C22⋊C4×C103C2212yescomplemented
58C22×C22⋊C4×C103C2212yescomplemented
59C22×C22⋊C4×C103C2212yescomplemented
60C22×C22⋊C4×C103C2212yescomplemented
61C22×C22⋊C4×C103C2212yescomplemented
62C22×C42×C103C2211yescharacteristic, complemented
63#390×C103C2211yescharacteristic, complemented
64#390×C103C2212yescomplemented
65#390×C103C2212yescomplemented
66#390×C103C2212yescomplemented
67#390×C103C2211yescharacteristic, complemented
68#390×C103C2211yescharacteristic, complemented
69#390×C103C2211yescharacteristic, complemented
70#389×C103C2211yescharacteristic, complemented
71#389×C103C2211yescharacteristic, complemented
72#388×C103C2211yescharacteristic, complemented
73#388×C103C2211yescharacteristic, complemented
74#388×C103C2212yescomplemented
75#388×C103C2212yescomplemented
76#388×C103C2212yescomplemented
77#388×C103C2212yescomplemented
78#388×C103C2212yescomplemented
79#387×C103C2211yescharacteristic, complemented
80#387×C103C2211yescharacteristic, complemented
81#387×C103C2212yescomplemented
82#386×C103C2211yescharacteristic
83#386×C103C2212yes—
84#386×C103C2211yescharacteristic
85#386×C103C2212yescomplemented
86#386×C103C2212yescomplemented
87#386×C103C2212yescomplemented
88#386×C103C2212yescomplemented
89#386×C103C2212yescomplemented
90#386×C103C2212yescomplemented
91#386×C103C2212yescomplemented
92#386×C103C2212yescomplemented
93#386×C103C2212yescomplemented
94#386×C103C2212yescomplemented
95#386×C103C2212yescomplemented
96#386×C103C2212yescomplemented
97#386×C103C2212yescomplemented
98#386×C103C2212yescomplemented
99#385×C103C2211yescharacteristic, complemented
100#385×C103C2211yescharacteristic, complemented
101#385×C103C2212yescomplemented
102#385×C103C2212yescomplemented
103#385×C103C2212yescomplemented
104#385×C103C2212yescomplemented
105#382×C103C2211yescharacteristic, complemented
106#380×C103C2211yescharacteristic, complemented
107#380×C103C2211yescharacteristic, complemented
108#380×C103C2212yescomplemented
109#379×C103C2212yescomplemented
110#379×C103C2212yescomplemented
111C4×C4⋊C4×C103C2211yescharacteristic, complemented
112C4×C4⋊C4×C103C2211yescharacteristic, complemented
113C4×C4⋊C4×C103C2211yescharacteristic, complemented
114C4×C4⋊C4×C103C2211yescharacteristic, complemented
115C4×C22⋊C4×C103C2212yescomplemented
116C4×C22⋊C4×C103C2212yescomplemented
117C4×C22⋊C4×C103C2212yescomplemented
118C4×C22⋊C4×C103C2211yescharacteristic, complemented
119C4×C22⋊C4×C103C2211yescharacteristic, complemented
120C4×C22⋊C4×C103C2212yescomplemented
121C4×C22⋊C4×C103C2212yescomplemented
122C4×C22⋊C4×C103C2212yescomplemented
123#376×C103C2211yescharacteristic, complemented
124C2×#95×C103C2212yescomplemented
125C2×#95×C103C2212yescomplemented
126C25×C103C2312yes—
127C25×C103C2312yes—
128C22×D4×C103—24no—
129C22×D4×C103—24no—
130C22×D4×C103—24no—
131C22×D4×C103—24no—
132C22×D4×C103—44no—
133C22×D4×C103—44no—
134C22×D4×C103C2×C418yescomplemented
135C22×D4×C103C2×C418yescomplemented
136C22×D4×C103C2×C4116yescomplemented
137C22×D4×C103C2311yescharacteristic
138C22×D4×C103C2312yes—
139C22×D4×C103C2312yes—
140C22×D4×C103C2311yescharacteristic
141C22×D4×C103C2312yes—
142C22×D4×C103C2311yescharacteristic
143C22×D4×C103C2312yes—
144C22×D4×C103C2312yes—
145C22×D4×C103C2312yes—
146C22×D4×C103C2311yescharacteristic
147C23×C4×C103—28no—
148C23×C4×C103—44no—
149C23×C4×C103—44no—
150C23×C4×C103C2311yescharacteristic
151C23×C4×C103C2312yes—
152C23×C4×C103C2312yes—
153C23×C4×C103C2312yes—
154C23×C4×C103C2311yescharacteristic
155C23×C4×C103C2311yescharacteristic
156C23×C4×C103C2311yescharacteristic
157C23×C4×C103C2312yes—
158C23×C4×C103C2312yes—
159C23×C4×C103C2312yes—
160C23×C4×C103C2312yes—
161C23×C4×C103C2312yes—
162C23×C4×C103C2312yes—
163C23×C4×C103C2312yes—
164#127×C103C2×C418yescomplemented
165#121×C103C2×C418yescomplemented
166#121×C103C2×C418yescomplemented
167#121×C103C2×C4116yescomplemented
168#120×C103C2×C4116yescomplemented
169#120×C103C2×C4116yescomplemented
170C4×D4×C103—24no—
171C4×D4×C103—24no—
172C4×D4×C103—24no—
173C4×D4×C103—28no—
174C4×D4×C103—28no—
175C4×D4×C103—24no—
176C4×D4×C103—24no—
177C4×D4×C103—28no—
178C4×D4×C103—28no—
179C4×D4×C103—24no—
180C4×D4×C103—24no—
181C4×D4×C103—44no—
182C4×D4×C103—44no—
183C4×D4×C103—44no—
184C4×D4×C103C2×C418yescomplemented
185C4×D4×C103C2×C418yescomplemented
186C4×D4×C103D418yescomplemented
187#117×C103—24no—
188#117×C103—24no—
189C2×C4⋊C4×C103—24no—
190C2×C4⋊C4×C103C2311yescharacteristic
191C2×C4⋊C4×C103C2311yescharacteristic
192C2×C4⋊C4×C103C2311yescharacteristic
193C2×C4⋊C4×C103C2311yescharacteristic
194C2×C4⋊C4×C103C2311yescharacteristic
195C2×C4⋊C4×C103C2312yes—
196C2×C4⋊C4×C103C2311yescharacteristic
197C2×C4⋊C4×C103C2311yescharacteristic
198C2×C4⋊C4×C103C2312yes—
199C2×C4⋊C4×C103C2312yes—
200C2×C4⋊C4×C103C2311yescharacteristic
201C2×C4⋊C4×C103C2311yescharacteristic
202C2×C4⋊C4×C103C2311yescharacteristic
203C2×C22⋊C4×C103—28no—
204C2×C22⋊C4×C103—28no—
205C2×C22⋊C4×C103—28no—
206C2×C22⋊C4×C103—44no—
207C2×C22⋊C4×C103—44no—
208C2×C22⋊C4×C103C2312yes—
209C2×C22⋊C4×C103C2311yescharacteristic
210C2×C22⋊C4×C103C2312yes—
211C2×C22⋊C4×C103C2311yescharacteristic
212C2×C22⋊C4×C103C2311yescharacteristic
213C2×C22⋊C4×C103C2312yes—
214C2×C22⋊C4×C103C2312yes—
215C2×C22⋊C4×C103C2312yes—
216C2×C22⋊C4×C103C2311yescharacteristic
217C2×C22⋊C4×C103C2312yes—
218C2×C22⋊C4×C103C2311yescharacteristic
219C2×C22⋊C4×C103C2312yes—
220C2×C22⋊C4×C103C2312yes—
221C2×C22⋊C4×C103C2312yes—
222C2×C22⋊C4×C103C2312yes—
223C2×C22⋊C4×C103C2311yescharacteristic
224C2×C22⋊C4×C103C2312yes—
225C2×C22⋊C4×C103C2312yes—
226C2×C22⋊C4×C103C2312yes—
227C2×C22⋊C4×C103C2312yes—
228C2×C22⋊C4×C103C2312yes—
229C2×C22⋊C4×C103C2312yes—
230C2×C22⋊C4×C103C2312yes—
231C2×C22⋊C4×C103C2312yes—
232C2×C22⋊C4×C103C2311yescharacteristic
233C2×C22⋊C4×C103C2312yes—
234C2×C22⋊C4×C103C2312yes—
235C2×C22⋊C4×C103C2312yes—
236C2×C22⋊C4×C103C2311yescharacteristic
237C2×C22⋊C4×C103C2312yes—
238C2×C42×C103—24no—
239C2×C42×C103C2311yescharacteristic
240C2×C42×C103C2311yescharacteristic
241C2×C42×C103C2312yes—
242C2×C42×C103C2311yescharacteristic
243C2×C42×C103C2311yescharacteristic
244C2×C42×C103C2311yescharacteristic
245C2×C42×C103C2312yes—
246C2×C42×C103C2312yes—
247C2×C42×C103C2312yes—
248C2×C42×C103C2311yescharacteristic
249C2×C42×C103C2311yescharacteristic
250#95×C103C2311yescharacteristic
251#95×C103C2311yescharacteristic
252#95×C103C2312yes—
253#95×C103C2312yes—
254#95×C103C2312yes—
255#95×C103C2312yes—
256#95×C103C2312yes—
257#95×C103C2312yes—
258#95×C103C2311yescharacteristic
259#95×C103C2311yescharacteristic
260#95×C103C2311yescharacteristic
261#95×C103C2311yescharacteristic
262#95×C103C2312yes—
263#95×C103C2312yes—
264#95×C103C2312yes—
265#95×C103C2311yescharacteristic
266#95×C103C2311yescharacteristic
267#95×C103C2311yescharacteristic
268#95×C103C2311yescharacteristic
269C24×C103—24no—
270C24×C103—24no—
271C24×C103—24no—
272C24×C103—24no—
273C24×C103—24no—
274C24×C103—24no—
275C24×C103—42no—
276C24×C103—42no—
277C24×C103—42no—
278C24×C103—42no—
279C24×C103—42no—
280C24×C103—42no—
281C24×C103C22×C418yes—
282C24×C103C22×C418yescomplemented
283C24×C103C2411yescharacteristic
284C24×C103C2412yes—
285C24×C103C2412yes—
286C24×C103C2412yes—
287C24×C103C2411yescharacteristic
288C2×D4×C103—24no—
289C2×D4×C103—24no—
290C2×D4×C103—24no—
291C2×D4×C103—24no—
292C2×D4×C103—24no—
293C2×D4×C103—24no—
294C2×D4×C103—22no—
295C2×D4×C103—22no—
296C2×D4×C103—232no—
297C2×D4×C103—232no—
298C2×D4×C103—22no—
299C2×D4×C103—22no—
300C2×D4×C103—22no—
301C2×D4×C103—22no—
302C2×D4×C103—42no—
303C2×D4×C103—42no—
304C2×D4×C103—42no—
305C2×D4×C103—42no—
306C2×D4×C103—42no—
307C2×D4×C103—42no—
308C2×D4×C103—432no—
309C2×D4×C103C22×C414yes—
310C2×D4×C103C22×C418yes—
311C2×D4×C103C22×C418yes—
312C2×D4×C103C22×C414yes—
313C2×D4×C103C22×C414yes—
314C2×D4×C103C22×C418yescomplemented
315C2×D4×C103C22×C414yescomplemented
316C2×D4×C103C22×C418yescomplemented
317C2×D4×C103C22×C418yescomplemented
318C2×D4×C103C22×C418yescomplemented
319C2×D4×C103C2×D414yes—
320C2×D4×C103#4114yes—
321C22×C4×C103—22no—
322C22×C4×C103—22no—
323C22×C4×C103—22no—
324C22×C4×C103—22no—
325C22×C4×C103—22no—
326C22×C4×C103—22no—
327C22×C4×C103—22no—
328C22×C4×C103—24no—
329C22×C4×C103—22no—
330C22×C4×C103—24no—
331C22×C4×C103—24no—
332C22×C4×C103—24no—
333C22×C4×C103—22no—
334C22×C4×C103—24no—
335C22×C4×C103—24no—
336C22×C4×C103—24no—
337C22×C4×C103—24no—
338C22×C4×C103—24no—
339C22×C4×C103—24no—
340C22×C4×C103—24no—
341C22×C4×C103—42no—
342C22×C4×C103—42no—
343C22×C4×C103—42no—
344C22×C4×C103—42no—
345C22×C4×C103—42no—
346C22×C4×C103—42no—
347C22×C4×C103—42no—
348C22×C4×C103—41no—
349C22×C4×C103—42no—
350C22×C4×C103—42no—
351C22×C4×C103—42no—
352C22×C4×C103—42no—
353C22×C4×C103—42no—
354C22×C4×C103—42no—
355C22×C4×C103—42no—
356C22×C4×C103—42no—
357C22×C4×C103—42no—
358C22×C4×C103—42no—
359C22×C4×C103—432no—
360C22×C4×C103C22×C414yes—
361C22×C4×C103C22×C414yescomplemented
362C22×C4×C103C22×C418yescomplemented
363C22×C4×C103C2×D418yescomplemented
364C22×C4×C103C2411yescharacteristic
365C22×C4×C103C2411yescharacteristic
366C22×C4×C103C2412yes—
367C22×C4×C103C2411yescharacteristic
368C22×C4×C103C2412yes—
369C22×C4×C103C2412yes—
370C22×C4×C103C2411yescharacteristic
371C22×C4×C103C2411yescharacteristic
372C22×C4×C103C2411yescharacteristic
373C22×C4×C103C2411yescharacteristic
374C22×C4×C103C2411yescharacteristic
375C22×C4×C103C2411yescharacteristic
376C22×C4×C103C2412yes—
377C22×C4×C103C2411yescharacteristic
378C22×C4×C103C2411yescharacteristic
379C22×C4×C103C2412yes—
380C22×C4×C103C2411yescharacteristic
381C22×C4×C103C2411yescharacteristic
382C4⋊C4×C103—24no—
383C4⋊C4×C103—22no—
384C4⋊C4×C103—22no—
385C4⋊C4×C103—22no—
386C4⋊C4×C103—22no—
387C4⋊C4×C103—22no—
388C4⋊C4×C103—22no—
389C4⋊C4×C103—41no—
390C4⋊C4×C103—42no—
391C4⋊C4×C103—42no—
392C4⋊C4×C103C22×C414yescomplemented
393C4⋊C4×C103C22×C414yescomplemented
394C4⋊C4×C103C2×D414yescomplemented
395C22⋊C4×C103—24no—
396C22⋊C4×C103—24no—
397C22⋊C4×C103—24no—
398C22⋊C4×C103—22no—
399C22⋊C4×C103—24no—
400C22⋊C4×C103—22no—
401C22⋊C4×C103—22no—
402C22⋊C4×C103—22no—
403C22⋊C4×C103—24no—
404C22⋊C4×C103—24no—
405C22⋊C4×C103—24no—
406C22⋊C4×C103—24no—
407C22⋊C4×C103—24no—
408C22⋊C4×C103—22no—
409C22⋊C4×C103—24no—
410C22⋊C4×C103—42no—
411C22⋊C4×C103—42no—
412C22⋊C4×C103—42no—
413C22⋊C4×C103—42no—
414C22⋊C4×C103—41no—
415C22⋊C4×C103—42no—
416C22⋊C4×C103—42no—
417C22⋊C4×C103—42no—
418C22⋊C4×C103—42no—
419C22⋊C4×C103C22×C414yes—
420C22⋊C4×C103C22×C414yescomplemented
421C22⋊C4×C103C22×C418yescomplemented
422C22⋊C4×C103C22×C418yescomplemented
423C22⋊C4×C103C22×C418yescomplemented
424C22⋊C4×C103C2×D418yescomplemented
425C42×C103—22no—
426C42×C103—22no—
427C42×C103—22no—
428C42×C103—24no—
429C42×C103—22no—
430C42×C103—22no—
431C42×C103—42no—
432C42×C103—42no—
433C42×C103—42no—
434C42×C103C22×C414yescomplemented
435C42×C103C2×D414yescomplemented
436C23×C103—21no—
437C23×C103—21no—
438C23×C103—21no—
439C23×C103—22no—
440C23×C103—22no—
441C23×C103—22no—
442C23×C103—21no—
443C23×C103—22no—
444C23×C103—216no—
445C23×C103—216no—
446C23×C103—21no—
447C23×C103—22no—
448C23×C103—22no—
449C23×C103—21no—
450C23×C103—22no—
451C23×C103—22no—
452C23×C103—21no—
453C23×C103—22no—
454C23×C103—22no—
455C23×C103—22no—
456C23×C103—22no—
457C23×C103—22no—
458C23×C103—22no—
459C23×C103—21no—
460C23×C103—21no—
461C23×C103—22no—
462C23×C103—21no—
463C23×C103—22no—
464C23×C103—216no—
465C23×C103—48no—
466C23×C103—48no—
467C23×C103—48no—
468C23×C103—48no—
469C23×C103—48no—
470C23×C103—48no—
471C23×C103—48no—
472C23×C103—84no—
473C23×C103—84no—
474C23×C103—84no—
475C23×C103—84no—
476C23×C103C23×C412yes—
477C23×C103C23×C414yes—
478C23×C103C23×C414yes—
479C23×C103C23×C414yes—
480C23×C103C23×C412yes—
481C23×C103C22×D414yes—
482C23×C103C2×#4114yes—
483C23×C103H(5,𝔽2)12yes—
484C23×C103H(5,𝔽2)12yes—
485C23×C103C2511yescharacteristic
486D4×C103—216no—
487D4×C103—216no—
488D4×C103—28no—
489D4×C103—216no—
490D4×C103—28no—
491D4×C103—28no—
492D4×C103—48no—
493D4×C103—48no—
494D4×C103—48no—
495D4×C103C4×D4116yescomplemented
496C2×C4×C103—28no—
497C2×C4×C103—21no—
498C2×C4×C103—21no—
499C2×C4×C103—21no—
500C2×C4×C103—21no—
501C2×C4×C103—21no—
502C2×C4×C103—21no—
503C2×C4×C103—21no—
504C2×C4×C103—22no—
505C2×C4×C103—22no—
506C2×C4×C103—22no—
507C2×C4×C103—22no—
508C2×C4×C103—21no—
509C2×C4×C103—21no—
510C2×C4×C103—21no—
511C2×C4×C103—21no—
512C2×C4×C103—21no—
513C2×C4×C103—21no—
514C2×C4×C103—21no—
515C2×C4×C103—28no—
516C2×C4×C103—28no—
517C2×C4×C103—21no—
518C2×C4×C103—21no—
519C2×C4×C103—22no—
520C2×C4×C103—21no—
521C2×C4×C103—22no—
522C2×C4×C103—21no—
523C2×C4×C103—21no—
524C2×C4×C103—22no—
525C2×C4×C103—21no—
526C2×C4×C103—22no—
527C2×C4×C103—22no—
528C2×C4×C103—21no—
529C2×C4×C103—21no—
530C2×C4×C103—21no—
531C2×C4×C103—22no—
532C2×C4×C103—21no—
533C2×C4×C103—21no—
534C2×C4×C103—21no—
535C2×C4×C103—22no—
536C2×C4×C103—22no—
537C2×C4×C103—21no—
538C2×C4×C103—21no—
539C2×C4×C103—22no—
540C2×C4×C103—21no—
541C2×C4×C103—48no—
542C2×C4×C103—48no—
543C2×C4×C103—48no—
544C2×C4×C103—44no—
545C2×C4×C103—48no—
546C2×C4×C103—48no—
547C2×C4×C103—48no—
548C2×C4×C103—84no—
549C2×C4×C103—84no—
550C2×C4×C103—84no—
551C2×C4×C103—84no—
552C2×C4×C103C23×C412yes—
553C2×C4×C103C23×C412yes—
554C2×C4×C103C23×C412yes—
555C2×C4×C103C23×C412yes—
556C2×C4×C103C23×C414yes—
557C2×C4×C103C23×C412yes—
558C2×C4×C103C22×D412yes—
559C2×C4×C103C22×D412yes—
560C2×C4×C103C22×D414yes—
561C2×C4×C103C22×D412yes—
562C2×C4×C103C2×#4112yes—
563C2×C4×C103H(5,𝔽2)12yes—
564C22×C103—22no—
565C22×C103—24no—
566C22×C103—22no—
567C22×C103—24no—
568C22×C103—22no—
569C22×C103—24no—
570C22×C103—22no—
571C22×C103—24no—
572C22×C103—22no—
573C22×C103—24no—
574C22×C103—24no—
575C22×C103—22no—
576C22×C103—22no—
577C22×C103—24no—
578C22×C103—24no—
579C22×C103—22no—
580C22×C103—24no—
581C22×C103—24no—
582C22×C103—24no—
583C22×C103—24no—
584C22×C103—22no—
585C22×C103—432no—
586C22×C103—42no—
587C22×C103—42no—
588C22×C103—41no—
589C22×C103—42no—
590C22×C103—42no—
591C22×C103—41no—
592C22×C103—42no—
593C22×C103—42no—
594C22×C103—41no—
595C22×C103—42no—
596C22×C103—42no—
597C22×C103—41no—
598C22×C103—816no—
599C22×C103C2×C4×D418yes—
600C22×C103#51814yescomplemented
601C22×C103C24×C411yescharacteristic
602C22×C103C23×D411yescharacteristic
603C22×C103C22×#4111yescharacteristic
604C22×C103C2×H(5,𝔽2)11yescharacteristic
605C22×C103C2×H(5,𝔽2)11yescharacteristic
606C22×C103C2×H(5,𝔽2)11yescharacteristic
607C22×C103#58511yescharacteristic
608C4×C103—22no—
609C4×C103—22no—
610C4×C103—22no—
611C4×C103—24no—
612C4×C103—22no—
613C4×C103—22no—
614C4×C103—22no—
615C4×C103—24no—
616C4×C103—22no—
617C4×C103—42no—
618C4×C103—41no—
619C4×C103—41no—
620C4×C103—41no—
621C4×C103—42no—
622C4×C103—41no—
623C4×C103—42no—
624C4×C103—41no—
625C4×C103C2×C4×D414yes—
626#34290C10311yesmaximal, characteristic, direct product factor, Sylow
627C2×C103—24no—
628C2×C103—28no—
629C2×C103—44no—
630C2×C103—44no—
631C2×C103—42no—
632C2×C103C22×C4×D411yescharacteristic
633C2×C103C2×#51811yescharacteristic
634C2×C103C4×H(5,𝔽2)11yescharacteristic
635C2×C103#348411yescharacteristic
636C2×C103#348811yescharacteristic
637C2×C103#351311yescharacteristic
638C2×C103#351911yescharacteristic
639C2×D42C2×C10311yescharacteristic
640C2×#518C2×C10311yescharacteristic, complemented
641C22×C4×D4C2×C10311yescharacteristic, complemented
642#2366C2×C10311yescharacteristic, complemented
643#2364C2×C10312yescomplemented
644#2363C2×C10311yescharacteristic, complemented
645#2361C2×C10311yescharacteristic, complemented
646#2358C2×C10312yescomplemented
647#2358C2×C10312yescomplemented
648#2352C2×C10311yescharacteristic, complemented
649#2349C2×C10311yescharacteristic, complemented
650D4×C22⋊C4C2×C10311yescharacteristic, complemented
651D4×C22⋊C4C2×C10311yescharacteristic, complemented
652D4×C22⋊C4C2×C10312yescomplemented
653#2328C2×C10311yescharacteristic, complemented
654#2325C2×C10312yescomplemented
655#2324C2×C10311yescharacteristic, complemented
656#2321C2×C10312yescomplemented
657C4×#121C2×C10311yescharacteristic, complemented
658C4×#120C2×C10312yescomplemented
659#2290C2×C10311yescharacteristic, complemented
660C2×#386C2×C10312yescomplemented
661#2275C2×C10311yescharacteristic, complemented
662C103#3429011yescharacteristic, direct product factor, Sylow
663C23×D4C22×C10311yescharacteristic
664C23×D4C22×C10311yescharacteristic
665C23×D4C22×C10312yes—
666C24×C4C22×C10312yescomplemented
667D42C4×C103116yescomplemented
668C2×#127C22×C10311yescharacteristic
669C2×#121C22×C10311yescharacteristic
670C2×#121C22×C10312yes—
671C2×#121C22×C10311yescharacteristic
672C2×#120C22×C10312yes—
673C2×#120C22×C10312yes—
674#518—28no—
675C2×C4×D4—28no—
676C2×C4×D4C22×C10311yescharacteristic
677C2×C4×D4C22×C10311yescharacteristic
678C2×C4×D4C22×C10311yescharacteristic
679C2×C4×D4C22×C10311yescharacteristic
680C2×C4×D4C22×C10311yescharacteristic
681C2×C4×D4C22×C10311yescharacteristic
682C2×C4×D4C22×C10312yescomplemented
683C2×C4×D4C22×C10311yescharacteristic, complemented
684C2×C4×D4C22×C10312yescomplemented
685C2×C4×D4C22×C10311yescharacteristic, complemented
686C2×C4×D4C22×C10312yescomplemented
687C2×C4×D4C22×C10312yescomplemented
688C2×C4×D4C22×C10311yescharacteristic, complemented
689C2×C4×D4C22×C10311yescharacteristic, complemented
690C2×C4×D4C22×C10312yescomplemented
691C2×C4×D4C22×C10312yescomplemented
692C2×C4×D4C22×C10312yescomplemented
693C2×#117C22×C10311yescharacteristic, complemented
694C2×#117C22×C10311yescharacteristic, complemented
695C22×C4⋊C4C22×C10311yescharacteristic, complemented
696C22×C22⋊C4C22×C10312yescomplemented
697C22×C22⋊C4C22×C10312yescomplemented
698C22×C22⋊C4C22×C10312yescomplemented
699C22×C22⋊C4C22×C10312yescomplemented
700C22×C22⋊C4C22×C10312yescomplemented
701C22×C42C22×C10311yescharacteristic, complemented
702#390C22×C10312yescomplemented
703#390C22×C10312yescomplemented
704#390C22×C10312yescomplemented
705#390C22×C10311yescharacteristic, complemented
706#390C22×C10311yescharacteristic, complemented
707#390C22×C10311yescharacteristic, complemented
708#390C22×C10311yescharacteristic, complemented
709#389C22×C10311yescharacteristic, complemented
710#389C22×C10311yescharacteristic, complemented
711#388C22×C10311yescharacteristic, complemented
712#388C22×C10312yescomplemented
713#388C22×C10312yescomplemented
714#388C22×C10312yescomplemented
715#388C22×C10312yescomplemented
716#388C22×C10312yescomplemented
717#388C22×C10311yescharacteristic, complemented
718#387C22×C10311yescharacteristic, complemented
719#387C22×C10312yescomplemented
720#387C22×C10311yescharacteristic, complemented
721#386C22×C10311yescharacteristic
722#386C22×C10312yes—
723#386C22×C10311yescharacteristic
724#386C22×C10312yescomplemented
725#386C22×C10312yescomplemented
726#386C22×C10312yescomplemented
727#386C22×C10312yescomplemented
728#386C22×C10312yescomplemented
729#386C22×C10312yescomplemented
730#386C22×C10312yescomplemented
731#386C22×C10312yescomplemented
732#386C22×C10312yescomplemented
733#386C22×C10312yescomplemented
734#386C22×C10312yescomplemented
735#386C22×C10312yescomplemented
736#386C22×C10312yescomplemented
737#386C22×C10312yescomplemented
738#385C22×C10312yescomplemented
739#385C22×C10312yescomplemented
740#385C22×C10312yescomplemented
741#385C22×C10312yescomplemented
742#385C22×C10311yescharacteristic, complemented
743#385C22×C10311yescharacteristic, complemented
744#382C22×C10311yescharacteristic, complemented
745#380C22×C10311yescharacteristic, complemented
746#380C22×C10312yescomplemented
747#380C22×C10311yescharacteristic, complemented
748#379C22×C10312yescomplemented
749#379C22×C10312yescomplemented
750C4×C4⋊C4C22×C10311yescharacteristic, complemented
751C4×C4⋊C4C22×C10311yescharacteristic, complemented
752C4×C4⋊C4C22×C10311yescharacteristic, complemented
753C4×C4⋊C4C22×C10311yescharacteristic, complemented
754C4×C22⋊C4C22×C10312yescomplemented
755C4×C22⋊C4C22×C10311yescharacteristic, complemented
756C4×C22⋊C4C22×C10311yescharacteristic, complemented
757C4×C22⋊C4C22×C10312yescomplemented
758C4×C22⋊C4C22×C10312yescomplemented
759C4×C22⋊C4C22×C10312yescomplemented
760C4×C22⋊C4C22×C10312yescomplemented
761C4×C22⋊C4C22×C10312yescomplemented
762#376C22×C10311yescharacteristic, complemented
763C2×#95C22×C10312yescomplemented
764C2×#95C22×C10312yescomplemented
765C25C23×C10312yes—
766C25C23×C10312yes—
767C22×D4—24no—
768C22×D4—24no—
769C22×D4—24no—
770C22×D4—24no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4C2×C4×C10318yescomplemented
774C22×D4C2×C4×C10318yescomplemented
775C22×D4C2×C4×C103116yescomplemented
776C22×D4C23×C10311yescharacteristic
777C22×D4C23×C10312yes—
778C22×D4C23×C10312yes—
779C22×D4C23×C10311yescharacteristic
780C22×D4C23×C10312yes—
781C22×D4C23×C10311yescharacteristic
782C22×D4C23×C10312yes—
783C22×D4C23×C10312yes—
784C22×D4C23×C10312yes—
785C22×D4C23×C10311yescharacteristic
786C23×C4—28no—
787C23×C4—44no—
788C23×C4—44no—
789C23×C4C23×C10311yescharacteristic
790C23×C4C23×C10311yescharacteristic
791C23×C4C23×C10312yes—
792C23×C4C23×C10312yes—
793C23×C4C23×C10312yes—
794C23×C4C23×C10311yescharacteristic
795C23×C4C23×C10311yescharacteristic
796C23×C4C23×C10312yes—
797C23×C4C23×C10312yes—
798C23×C4C23×C10312yes—
799C23×C4C23×C10312yes—
800C23×C4C23×C10312yes—
801C23×C4C23×C10312yes—
802C23×C4C23×C10312yes—
803#127C2×C4×C10318yescomplemented
804#121C2×C4×C10318yescomplemented
805#121C2×C4×C10318yescomplemented
806#121C2×C4×C103116yescomplemented
807#120C2×C4×C103116yescomplemented
808#120C2×C4×C103116yescomplemented
809C4×D4—24no—
810C4×D4—24no—
811C4×D4—24no—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—24no—
815C4×D4—24no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—24no—
819C4×D4—24no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4C2×C4×C10318yescomplemented
824C4×D4C2×C4×C10318yescomplemented
825C4×D4D4×C10318yescomplemented
826#117—24no—
827#117—24no—
828C2×C4⋊C4—24no—
829C2×C4⋊C4C23×C10311yescharacteristic
830C2×C4⋊C4C23×C10312yes—
831C2×C4⋊C4C23×C10311yescharacteristic
832C2×C4⋊C4C23×C10311yescharacteristic
833C2×C4⋊C4C23×C10311yescharacteristic
834C2×C4⋊C4C23×C10311yescharacteristic
835C2×C4⋊C4C23×C10311yescharacteristic
836C2×C4⋊C4C23×C10312yes—
837C2×C4⋊C4C23×C10312yes—
838C2×C4⋊C4C23×C10311yescharacteristic
839C2×C4⋊C4C23×C10311yescharacteristic
840C2×C4⋊C4C23×C10311yescharacteristic
841C2×C4⋊C4C23×C10311yescharacteristic
842C2×C22⋊C4—28no—
843C2×C22⋊C4—28no—
844C2×C22⋊C4—28no—
845C2×C22⋊C4—44no—
846C2×C22⋊C4—44no—
847C2×C22⋊C4C23×C10311yescharacteristic
848C2×C22⋊C4C23×C10312yes—
849C2×C22⋊C4C23×C10311yescharacteristic
850C2×C22⋊C4C23×C10311yescharacteristic
851C2×C22⋊C4C23×C10311yescharacteristic
852C2×C22⋊C4C23×C10312yes—
853C2×C22⋊C4C23×C10312yes—
854C2×C22⋊C4C23×C10312yes—
855C2×C22⋊C4C23×C10312yes—
856C2×C22⋊C4C23×C10312yes—
857C2×C22⋊C4C23×C10312yes—
858C2×C22⋊C4C23×C10312yes—
859C2×C22⋊C4C23×C10312yes—
860C2×C22⋊C4C23×C10312yes—
861C2×C22⋊C4C23×C10311yescharacteristic
862C2×C22⋊C4C23×C10312yes—
863C2×C22⋊C4C23×C10312yes—
864C2×C22⋊C4C23×C10312yes—
865C2×C22⋊C4C23×C10312yes—
866C2×C22⋊C4C23×C10312yes—
867C2×C22⋊C4C23×C10312yes—
868C2×C22⋊C4C23×C10312yes—
869C2×C22⋊C4C23×C10311yescharacteristic
870C2×C22⋊C4C23×C10312yes—
871C2×C22⋊C4C23×C10311yescharacteristic
872C2×C22⋊C4C23×C10312yes—
873C2×C22⋊C4C23×C10311yescharacteristic
874C2×C22⋊C4C23×C10312yes—
875C2×C22⋊C4C23×C10312yes—
876C2×C22⋊C4C23×C10312yes—
877C2×C42—24no—
878C2×C42C23×C10311yescharacteristic
879C2×C42C23×C10312yes—
880C2×C42C23×C10311yescharacteristic
881C2×C42C23×C10311yescharacteristic
882C2×C42C23×C10311yescharacteristic
883C2×C42C23×C10311yescharacteristic
884C2×C42C23×C10312yes—
885C2×C42C23×C10312yes—
886C2×C42C23×C10312yes—
887C2×C42C23×C10311yescharacteristic
888C2×C42C23×C10311yescharacteristic
889#95C23×C10311yescharacteristic
890#95C23×C10311yescharacteristic
891#95C23×C10312yes—
892#95C23×C10312yes—
893#95C23×C10312yes—
894#95C23×C10312yes—
895#95C23×C10312yes—
896#95C23×C10312yes—
897#95C23×C10311yescharacteristic
898#95C23×C10311yescharacteristic
899#95C23×C10311yescharacteristic
900#95C23×C10311yescharacteristic
901#95C23×C10312yes—
902#95C23×C10312yes—
903#95C23×C10312yes—
904#95C23×C10311yescharacteristic
905#95C23×C10311yescharacteristic
906#95C23×C10311yescharacteristic
907#95C23×C10311yescharacteristic
908C24—24no—
909C24—24no—
910C24—24no—
911C24—24no—
912C24—24no—
913C24—24no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24C22×C4×C10318yes—
921C24C22×C4×C10318yescomplemented
922C24C24×C10311yescharacteristic
923C24C24×C10312yes—
924C24C24×C10312yes—
925C24C24×C10312yes—
926C24C24×C10311yescharacteristic
927C2×D4—24no—
928C2×D4—24no—
929C2×D4—24no—
930C2×D4—24no—
931C2×D4—24no—
932C2×D4—24no—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—232no—
936C2×D4—232no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—432no—
948C2×D4C22×C4×C10314yes—
949C2×D4C22×C4×C10318yes—
950C2×D4C22×C4×C10318yes—
951C2×D4C22×C4×C10314yes—
952C2×D4C22×C4×C10314yes—
953C2×D4C22×C4×C10318yescomplemented
954C2×D4C22×C4×C10314yescomplemented
955C2×D4C22×C4×C10318yescomplemented
956C2×D4C22×C4×C10318yescomplemented
957C2×D4C22×C4×C10318yescomplemented
958C2×D4C2×D4×C10314yes—
959C2×D4#41×C10314yes—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—24no—
968C22×C4—22no—
969C22×C4—24no—
970C22×C4—24no—
971C22×C4—24no—
972C22×C4—22no—
973C22×C4—24no—
974C22×C4—24no—
975C22×C4—24no—
976C22×C4—24no—
977C22×C4—24no—
978C22×C4—24no—
979C22×C4—24no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—41no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—432no—
999C22×C4C22×C4×C10314yes—
1000C22×C4C22×C4×C10314yescomplemented
1001C22×C4C22×C4×C10318yescomplemented
1002C22×C4C2×D4×C10318yescomplemented
1003C22×C4C24×C10311yescharacteristic
1004C22×C4C24×C10311yescharacteristic
1005C22×C4C24×C10312yes—
1006C22×C4C24×C10311yescharacteristic
1007C22×C4C24×C10312yes—
1008C22×C4C24×C10312yes—
1009C22×C4C24×C10311yescharacteristic
1010C22×C4C24×C10311yescharacteristic
1011C22×C4C24×C10311yescharacteristic
1012C22×C4C24×C10311yescharacteristic
1013C22×C4C24×C10311yescharacteristic
1014C22×C4C24×C10311yescharacteristic
1015C22×C4C24×C10312yes—
1016C22×C4C24×C10311yescharacteristic
1017C22×C4C24×C10311yescharacteristic
1018C22×C4C24×C10312yes—
1019C22×C4C24×C10311yescharacteristic
1020C22×C4C24×C10311yescharacteristic
1021C4⋊C4—24no—
1022C4⋊C4—22no—
1023C4⋊C4—22no—
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
1028C4⋊C4—41no—
1029C4⋊C4—42no—
1030C4⋊C4—42no—
1031C4⋊C4C22×C4×C10314yescomplemented
1032C4⋊C4C22×C4×C10314yescomplemented
1033C4⋊C4C2×D4×C10314yescomplemented
1034C22⋊C4—24no—
1035C22⋊C4—24no—
1036C22⋊C4—24no—
1037C22⋊C4—22no—
1038C22⋊C4—24no—
1039C22⋊C4—22no—
1040C22⋊C4—22no—
1041C22⋊C4—22no—
1042C22⋊C4—24no—
1043C22⋊C4—24no—
1044C22⋊C4—24no—
1045C22⋊C4—24no—
1046C22⋊C4—24no—
1047C22⋊C4—22no—
1048C22⋊C4—24no—
1049C22⋊C4—42no—
1050C22⋊C4—42no—
1051C22⋊C4—42no—
1052C22⋊C4—42no—
1053C22⋊C4—41no—
1054C22⋊C4—42no—
1055C22⋊C4—42no—
1056C22⋊C4—42no—
1057C22⋊C4—42no—
1058C22⋊C4C22×C4×C10314yes—
1059C22⋊C4C22×C4×C10314yescomplemented
1060C22⋊C4C22×C4×C10318yescomplemented
1061C22⋊C4C22×C4×C10318yescomplemented
1062C22⋊C4C22×C4×C10318yescomplemented
1063C22⋊C4C2×D4×C10318yescomplemented
1064C42—22no—
1065C42—22no—
1066C42—22no—
1067C42—24no—
1068C42—22no—
1069C42—22no—
1070C42—42no—
1071C42—42no—
1072C42—42no—
1073C42C22×C4×C10314yescomplemented
1074C42C2×D4×C10314yescomplemented
1075C23—21no—
1076C23—21no—
1077C23—21no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—21no—
1082C23—22no—
1083C23—216no—
1084C23—216no—
1085C23—21no—
1086C23—22no—
1087C23—22no—
1088C23—21no—
1089C23—22no—
1090C23—22no—
1091C23—21no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—21no—
1099C23—21no—
1100C23—22no—
1101C23—21no—
1102C23—22no—
1103C23—216no—
1104C23—48no—
1105C23—48no—
1106C23—48no—
1107C23—48no—
1108C23—48no—
1109C23—48no—
1110C23—48no—
1111C23—84no—
1112C23—84no—
1113C23—84no—
1114C23—84no—
1115C23C23×C4×C10312yes—
1116C23C23×C4×C10314yes—
1117C23C23×C4×C10314yes—
1118C23C23×C4×C10314yes—
1119C23C23×C4×C10312yes—
1120C23C22×D4×C10314yes—
1121C23C2×#41×C10314yes—
1122C23H(5,𝔽2)×C10312yes—
1123C23H(5,𝔽2)×C10312yes—
1124C23C25×C10311yescharacteristic
1125D4—216no—
1126D4—216no—
1127D4—28no—
1128D4—216no—
1129D4—28no—
1130D4—28no—
1131D4—48no—
1132D4—48no—
1133D4—48no—
1134D4C4×D4×C103116yescomplemented
1135C2×C4—28no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—28no—
1155C2×C4—28no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—22no—
1159C2×C4—21no—
1160C2×C4—22no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—22no—
1164C2×C4—21no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—22no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—22no—
1179C2×C4—21no—
1180C2×C4—48no—
1181C2×C4—48no—
1182C2×C4—48no—
1183C2×C4—48no—
1184C2×C4—48no—
1185C2×C4—44no—
1186C2×C4—48no—
1187C2×C4—84no—
1188C2×C4—84no—
1189C2×C4—84no—
1190C2×C4—84no—
1191C2×C4C23×C4×C10312yes—
1192C2×C4C23×C4×C10312yes—
1193C2×C4C23×C4×C10312yes—
1194C2×C4C23×C4×C10312yes—
1195C2×C4C23×C4×C10314yes—
1196C2×C4C23×C4×C10312yes—
1197C2×C4C22×D4×C10312yes—
1198C2×C4C22×D4×C10312yes—
1199C2×C4C22×D4×C10314yes—
1200C2×C4C22×D4×C10312yes—
1201C2×C4C2×#41×C10312yes—
1202C2×C4H(5,𝔽2)×C10312yes—
1203C22—22no—
1204C22—24no—
1205C22—22no—
1206C22—24no—
1207C22—22no—
1208C22—24no—
1209C22—24no—
1210C22—22no—
1211C22—22no—
1212C22—24no—
1213C22—22no—
1214C22—24no—
1215C22—22no—
1216C22—24no—
1217C22—24no—
1218C22—22no—
1219C22—24no—
1220C22—24no—
1221C22—24no—
1222C22—24no—
1223C22—22no—
1224C22—432no—
1225C22—42no—
1226C22—42no—
1227C22—41no—
1228C22—42no—
1229C22—42no—
1230C22—41no—
1231C22—42no—
1232C22—41no—
1233C22—42no—
1234C22—42no—
1235C22—41no—
1236C22—42no—
1237C22—816no—
1238C22C2×C4×D4×C10318yes—
1239C22#518×C10314yescomplemented
1240C22C24×C4×C10311yescharacteristic
1241C22C23×D4×C10311yescharacteristic
1242C22C22×#41×C10311yescharacteristic
1243C22C2×H(5,𝔽2)×C10311yescharacteristic
1244C22C2×H(5,𝔽2)×C10311yescharacteristic
1245C22C2×H(5,𝔽2)×C10311yescharacteristic
1246C22#585×C10311yescharacteristic
1247C4—22no—
1248C4—22no—
1249C4—24no—
1250C4—22no—
1251C4—22no—
1252C4—22no—
1253C4—22no—
1254C4—24no—
1255C4—22no—
1256C4—42no—
1257C4—41no—
1258C4—41no—
1259C4—41no—
1260C4—42no—
1261C4—41no—
1262C4—41no—
1263C4—42no—
1264C4C2×C4×D4×C10314yes—
1265C2—24no—
1266C2—28no—
1267C2—44no—
1268C2—42no—
1269C2—44no—
1270C2C22×C4×D4×C10311yescharacteristic
1271C2C2×#518×C10311yescharacteristic
1272C2C4×H(5,𝔽2)×C10311yescharacteristic
1273C2C103×#348411yescharacteristic
1274C2C103×#348811yescharacteristic
1275C2C103×#351311yescharacteristic
1276C2C103×#351911yescharacteristic
subgroupG/H
center, socleC23×C103C25
commutatorC22C24×C4×C103
Frattini, cosocleC23C25×C103
prime radicalC2×D42×C103C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#518×C103C2semidirect
3. C22×C4×D4×C103C2semidirect
4. C103×#2366C2semidirect
5. C103×#2364C2semidirect
6. C103×#2363C2semidirect
7. C103×#2361C2semidirect
8. C103×#2358C2semidirect
9. C103×#2358C2semidirect
10. C103×#2352C2semidirect
11. C103×#2349C2semidirect
12. D4×C22⋊C4×C103C2semidirect
13. D4×C22⋊C4×C103C2semidirect
14. D4×C22⋊C4×C103C2semidirect
15. C103×#2328C2semidirect
16. C103×#2325C2semidirect
17. C103×#2324C2semidirect
18. C103×#2321C2semidirect
19. C4×#121×C103C2semidirect
20. C4×#120×C103C2semidirect
21. C103×#2290C2semidirect
22. C2×#386×C103C2semidirect
23. C103×#2275C2semidirect
27. C24×C4×C103C22semidirect
28. D42×C103C4semidirect
43. C2×C4×D4×C103C22semidirect
44. C2×C4×D4×C103C22semidirect
45. C2×C4×D4×C103C22semidirect
46. C2×C4×D4×C103C22semidirect
47. C2×C4×D4×C103C22semidirect
48. C2×C4×D4×C103C22semidirect
49. C2×C4×D4×C103C22semidirect
50. C2×C4×D4×C103C22semidirect
51. C2×C4×D4×C103C22semidirect
52. C2×C4×D4×C103C22semidirect
53. C2×C4×D4×C103C22semidirect
54. C2×#117×C103C22semidirect
55. C2×#117×C103C22semidirect
56. C22×C4⋊C4×C103C22semidirect
57. C22×C22⋊C4×C103C22semidirect
58. C22×C22⋊C4×C103C22semidirect
59. C22×C22⋊C4×C103C22semidirect
60. C22×C22⋊C4×C103C22semidirect
61. C22×C22⋊C4×C103C22semidirect
62. C22×C42×C103C22semidirect
63. #390×C103C22semidirect
64. #390×C103C22semidirect
65. #390×C103C22semidirect
66. #390×C103C22semidirect
67. #390×C103C22semidirect
68. #390×C103C22semidirect
69. #390×C103C22semidirect
70. #389×C103C22semidirect
71. #389×C103C22semidirect
72. #388×C103C22semidirect
73. #388×C103C22semidirect
74. #388×C103C22semidirect
75. #388×C103C22semidirect
76. #388×C103C22semidirect
77. #388×C103C22semidirect
78. #388×C103C22semidirect
79. #387×C103C22semidirect
80. #387×C103C22semidirect
81. #387×C103C22semidirect
85. #386×C103C22semidirect
86. #386×C103C22semidirect
87. #386×C103C22semidirect
88. #386×C103C22semidirect
89. #386×C103C22semidirect
90. #386×C103C22semidirect
91. #386×C103C22semidirect
92. #386×C103C22semidirect
93. #386×C103C22semidirect
94. #386×C103C22semidirect
95. #386×C103C22semidirect
96. #386×C103C22semidirect
97. #386×C103C22semidirect
98. #386×C103C22semidirect
99. #385×C103C22semidirect
100. #385×C103C22semidirect
101. #385×C103C22semidirect
102. #385×C103C22semidirect
103. #385×C103C22semidirect
104. #385×C103C22semidirect
105. #382×C103C22semidirect
106. #380×C103C22semidirect
107. #380×C103C22semidirect
108. #380×C103C22semidirect
109. #379×C103C22semidirect
110. #379×C103C22semidirect
111. C4×C4⋊C4×C103C22semidirect
112. C4×C4⋊C4×C103C22semidirect
113. C4×C4⋊C4×C103C22semidirect
114. C4×C4⋊C4×C103C22semidirect
115. C4×C22⋊C4×C103C22semidirect
116. C4×C22⋊C4×C103C22semidirect
117. C4×C22⋊C4×C103C22semidirect
118. C4×C22⋊C4×C103C22semidirect
119. C4×C22⋊C4×C103C22semidirect
120. C4×C22⋊C4×C103C22semidirect
121. C4×C22⋊C4×C103C22semidirect
122. C4×C22⋊C4×C103C22semidirect
123. #376×C103C22semidirect
124. C2×#95×C103C22semidirect
125. C2×#95×C103C22semidirect
134. C22×D4×C103C2×C4semidirect
135. C22×D4×C103C2×C4semidirect
136. C22×D4×C103C2×C4semidirect
164. #127×C103C2×C4semidirect
165. #121×C103C2×C4semidirect
166. #121×C103C2×C4semidirect
167. #121×C103C2×C4semidirect
168. #120×C103C2×C4semidirect
169. #120×C103C2×C4semidirect
184. C4×D4×C103C2×C4semidirect
185. C4×D4×C103C2×C4semidirect
186. C4×D4×C103D4semidirect
282. C24×C103C22×C4semidirect
314. C2×D4×C103C22×C4semidirect
315. C2×D4×C103C22×C4semidirect
316. C2×D4×C103C22×C4semidirect
317. C2×D4×C103C22×C4semidirect
318. C2×D4×C103C22×C4semidirect
361. C22×C4×C103C22×C4semidirect
362. C22×C4×C103C22×C4semidirect
363. C22×C4×C103C2×D4semidirect
392. C4⋊C4×C103C22×C4semidirect
393. C4⋊C4×C103C22×C4semidirect
394. C4⋊C4×C103C2×D4semidirect
420. C22⋊C4×C103C22×C4semidirect
421. C22⋊C4×C103C22×C4semidirect
422. C22⋊C4×C103C22×C4semidirect
423. C22⋊C4×C103C22×C4semidirect
424. C22⋊C4×C103C2×D4semidirect
434. C42×C103C22×C4semidirect
435. C42×C103C2×D4semidirect
495. D4×C103C4×D4semidirect
600. C22×C103#518semidirect
626. #34290C103direct (N × H)
640. C2×#518C2×C103semidirect
641. C22×C4×D4C2×C103semidirect
642. #2366C2×C103semidirect
643. #2364C2×C103semidirect
644. #2363C2×C103semidirect
645. #2361C2×C103semidirect
646. #2358C2×C103semidirect
647. #2358C2×C103semidirect
648. #2352C2×C103semidirect
649. #2349C2×C103semidirect
650. D4×C22⋊C4C2×C103semidirect
651. D4×C22⋊C4C2×C103semidirect
652. D4×C22⋊C4C2×C103semidirect
653. #2328C2×C103semidirect
654. #2325C2×C103semidirect
655. #2324C2×C103semidirect
656. #2321C2×C103semidirect
657. C4×#121C2×C103semidirect
658. C4×#120C2×C103semidirect
659. #2290C2×C103semidirect
660. C2×#386C2×C103semidirect
661. #2275C2×C103semidirect
662. C103#34290direct (N × H)
666. C24×C4C22×C103semidirect
667. D42C4×C103semidirect
682. C2×C4×D4C22×C103semidirect
683. C2×C4×D4C22×C103semidirect
684. C2×C4×D4C22×C103semidirect
685. C2×C4×D4C22×C103semidirect
686. C2×C4×D4C22×C103semidirect
687. C2×C4×D4C22×C103semidirect
688. C2×C4×D4C22×C103semidirect
689. C2×C4×D4C22×C103semidirect
690. C2×C4×D4C22×C103semidirect
691. C2×C4×D4C22×C103semidirect
692. C2×C4×D4C22×C103semidirect
693. C2×#117C22×C103semidirect
694. C2×#117C22×C103semidirect
695. C22×C4⋊C4C22×C103semidirect
696. C22×C22⋊C4C22×C103semidirect
697. C22×C22⋊C4C22×C103semidirect
698. C22×C22⋊C4C22×C103semidirect
699. C22×C22⋊C4C22×C103semidirect
700. C22×C22⋊C4C22×C103semidirect
701. C22×C42C22×C103semidirect
702. #390C22×C103semidirect
703. #390C22×C103semidirect
704. #390C22×C103semidirect
705. #390C22×C103semidirect
706. #390C22×C103semidirect
707. #390C22×C103semidirect
708. #390C22×C103semidirect
709. #389C22×C103semidirect
710. #389C22×C103semidirect
711. #388C22×C103semidirect
712. #388C22×C103semidirect
713. #388C22×C103semidirect
714. #388C22×C103semidirect
715. #388C22×C103semidirect
716. #388C22×C103semidirect
717. #388C22×C103semidirect
718. #387C22×C103semidirect
719. #387C22×C103semidirect
720. #387C22×C103semidirect
724. #386C22×C103semidirect
725. #386C22×C103semidirect
726. #386C22×C103semidirect
727. #386C22×C103semidirect
728. #386C22×C103semidirect
729. #386C22×C103semidirect
730. #386C22×C103semidirect
731. #386C22×C103semidirect
732. #386C22×C103semidirect
733. #386C22×C103semidirect
734. #386C22×C103semidirect
735. #386C22×C103semidirect
736. #386C22×C103semidirect
737. #386C22×C103semidirect
738. #385C22×C103semidirect
739. #385C22×C103semidirect
740. #385C22×C103semidirect
741. #385C22×C103semidirect
742. #385C22×C103semidirect
743. #385C22×C103semidirect
744. #382C22×C103semidirect
745. #380C22×C103semidirect
746. #380C22×C103semidirect
747. #380C22×C103semidirect
748. #379C22×C103semidirect
749. #379C22×C103semidirect
750. C4×C4⋊C4C22×C103semidirect
751. C4×C4⋊C4C22×C103semidirect
752. C4×C4⋊C4C22×C103semidirect
753. C4×C4⋊C4C22×C103semidirect
754. C4×C22⋊C4C22×C103semidirect
755. C4×C22⋊C4C22×C103semidirect
756. C4×C22⋊C4C22×C103semidirect
757. C4×C22⋊C4C22×C103semidirect
758. C4×C22⋊C4C22×C103semidirect
759. C4×C22⋊C4C22×C103semidirect
760. C4×C22⋊C4C22×C103semidirect
761. C4×C22⋊C4C22×C103semidirect
762. #376C22×C103semidirect
763. C2×#95C22×C103semidirect
764. C2×#95C22×C103semidirect
773. C22×D4C2×C4×C103semidirect
774. C22×D4C2×C4×C103semidirect
775. C22×D4C2×C4×C103semidirect
803. #127C2×C4×C103semidirect
804. #121C2×C4×C103semidirect
805. #121C2×C4×C103semidirect
806. #121C2×C4×C103semidirect
807. #120C2×C4×C103semidirect
808. #120C2×C4×C103semidirect
823. C4×D4C2×C4×C103semidirect
824. C4×D4C2×C4×C103semidirect
825. C4×D4D4×C103semidirect
921. C24C22×C4×C103semidirect
953. C2×D4C22×C4×C103semidirect
954. C2×D4C22×C4×C103semidirect
955. C2×D4C22×C4×C103semidirect
956. C2×D4C22×C4×C103semidirect
957. C2×D4C22×C4×C103semidirect
1000. C22×C4C22×C4×C103semidirect
1001. C22×C4C22×C4×C103semidirect
1002. C22×C4C2×D4×C103semidirect
1031. C4⋊C4C22×C4×C103semidirect
1032. C4⋊C4C22×C4×C103semidirect
1033. C4⋊C4C2×D4×C103semidirect
1059. C22⋊C4C22×C4×C103semidirect
1060. C22⋊C4C22×C4×C103semidirect
1061. C22⋊C4C22×C4×C103semidirect
1062. C22⋊C4C22×C4×C103semidirect
1063. C22⋊C4C2×D4×C103semidirect
1073. C42C22×C4×C103semidirect
1074. C42C2×D4×C103semidirect
1134. D4C4×D4×C103semidirect
1239. C22#518×C103semidirect

Maximal subgroups

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

subgroupindex
C2×D42×C1032
C2×#518×C1032
C22×C4×D4×C1032
C103×#23662
C103×#23642
C103×#23632
C103×#23612
C103×#23582
C103×#23522
C103×#23492
D4×C22⋊C4×C1032
C103×#23282
C103×#23252
C103×#23242
C103×#23212
C4×#121×C1032
C4×#120×C1032
C103×#22902
C2×#386×C1032
C103×#22752
#34290103