Finite Group Databasebeta

← C103×#34288 #39939563

Subgroups — C103×#34288 #39939563

Order 26368.

3584 conjugacy classes of subgroups.

The subgroup lattice has 1198 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#546×C103C211yesmaximal, characteristic
2C2×#520×C103C211yesmaximal, characteristic, complemented
3C22×C4×D4×C103C211yesmaximal, characteristic, complemented
4C103×#2367C211yesmaximal, characteristic, complemented
5C103×#2361C212yesmaximal, complemented
6C103×#2361C211yesmaximal, characteristic, complemented
7C103×#2360C211yesmaximal, characteristic, complemented
8C103×#2359C212yesmaximal, complemented
9C103×#2358C212yesmaximal, complemented
10D4×C4⋊C4×C103C211yesmaximal, characteristic, complemented
11D4×C4⋊C4×C103C211yesmaximal, characteristic, complemented
12C103×#2342C212yesmaximal, complemented
13C103×#2339C211yesmaximal, characteristic, complemented
14D4×C22⋊C4×C103C211yesmaximal, characteristic, complemented
15C103×#2326C211yesmaximal, characteristic, complemented
16C103×#2325C212yesmaximal, complemented
17C103×#2324C211yesmaximal, characteristic, complemented
18C103×#2322C212yesmaximal, complemented
19C4×C22⋊Q8×C103C211yesmaximal, characteristic, complemented
20C4×#120×C103C212yesmaximal, complemented
21C103×#2290C211yesmaximal, characteristic, complemented
22C2×#385×C103C212yesmaximal, complemented
23C103×#2275C211yesmaximal, characteristic, complemented
24C22×#41×C103C2211yescharacteristic
25C23×D4×C103C2211yescharacteristic
26C24×C4×C103C2212yes—
27#546×C103C4116yescomplemented
28C2×#124×C103C2211yescharacteristic
29C2×#123×C103C2212yes—
30C2×C22⋊Q8×C103C2211yescharacteristic
31C2×#121×C103C2211yescharacteristic
32C2×#121×C103C2212yes—
33C2×#120×C103C2212yes—
34#520×C103—28no—
35C2×C4×Q8×C103C2211yescharacteristic, complemented
36C2×C4×Q8×C103C2211yescharacteristic, complemented
37C2×C4×D4×C103—28no—
38C2×C4×D4×C103C2211yescharacteristic
39C2×C4×D4×C103C2212yes—
40C2×C4×D4×C103C2211yescharacteristic
41C2×C4×D4×C103C2211yescharacteristic
42C2×C4×D4×C103C2211yescharacteristic
43C2×C4×D4×C103C2212yes—
44C2×C4×D4×C103C2211yescharacteristic
45C2×C4×D4×C103C2212yes—
46C2×C4×D4×C103C2211yescharacteristic
47C2×C4×D4×C103C2211yescharacteristic
48C2×C4×D4×C103C2211yescharacteristic
49C2×C4×D4×C103C2212yescomplemented
50C2×C4×D4×C103C2212yescomplemented
51C2×C4×D4×C103C2212yescomplemented
52C2×#117×C103C2211yescharacteristic, complemented
53C2×#117×C103C2212yescomplemented
54C22×C4⋊C4×C103C2211yescharacteristic
55C22×C4⋊C4×C103C2212yescomplemented
56C22×C4⋊C4×C103C2211yescharacteristic, complemented
57C22×C4⋊C4×C103C2212yescomplemented
58C22×C22⋊C4×C103C2212yes—
59C22×C22⋊C4×C103C2212yes—
60C22×C22⋊C4×C103C2212yes—
61C22×C42×C103C2211yescharacteristic
62#391×C103C2211yescharacteristic, complemented
63#391×C103C2211yescharacteristic, complemented
64#390×C103C2211yescharacteristic
65#390×C103C2211yescharacteristic
66#390×C103C2212yescomplemented
67#389×C103C2211yescharacteristic, complemented
68#389×C103C2212yescomplemented
69#389×C103C2212yescomplemented
70#389×C103C2211yescharacteristic, complemented
71#388×C103C2211yescharacteristic, complemented
72#388×C103C2211yescharacteristic, complemented
73#388×C103C2212yescomplemented
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#387×C103C2212yescomplemented
83#386×C103C2211yescharacteristic
84#386×C103C2211yescharacteristic
85#386×C103C2212yes—
86#386×C103C2212yes—
87#386×C103C2212yescomplemented
88#386×C103C2212yescomplemented
89#386×C103C2212yescomplemented
90#386×C103C2212yescomplemented
91#385×C103C2211yescharacteristic
92#385×C103C2212yes—
93#385×C103C2212yes—
94#385×C103C2212yes—
95#385×C103C2211yescharacteristic
96#385×C103C2212yescomplemented
97#385×C103C2212yescomplemented
98#385×C103C2212yescomplemented
99#385×C103C2212yescomplemented
100#385×C103C2212yescomplemented
101#385×C103C2212yescomplemented
102#385×C103C2212yescomplemented
103#385×C103C2212yescomplemented
104#384×C103C2211yescharacteristic, complemented
105#381×C103C2212yescomplemented
106#380×C103C2211yescharacteristic
107#380×C103C2211yescharacteristic, complemented
108#380×C103C2212yescomplemented
109#379×C103C2212yes—
110C4×C4⋊C4×C103C2211yescharacteristic, complemented
111C4×C4⋊C4×C103C2211yescharacteristic, complemented
112C4×C4⋊C4×C103C2211yescharacteristic, complemented
113C4×C4⋊C4×C103C2211yescharacteristic, complemented
114C4×C4⋊C4×C103C2212yescomplemented
115C4×C22⋊C4×C103C2211yescharacteristic
116C4×C22⋊C4×C103C2212yes—
117C4×C22⋊C4×C103C2212yes—
118C4×C22⋊C4×C103C2212yescomplemented
119C4×C22⋊C4×C103C2212yescomplemented
120C4×C22⋊C4×C103C2212yescomplemented
121C4×C22⋊C4×C103C2211yescharacteristic, complemented
122C4×C22⋊C4×C103C2212yescomplemented
123#376×C103C2211yescharacteristic, complemented
124C2×#95×C103C2212yescomplemented
125C2×#95×C103C2212yescomplemented
126C25×C103C2312yes—
127C2×#41×C103—24no—
128C2×#41×C103—24no—
129C2×#41×C103C2×C418yescomplemented
130C22×Q8×C103C2311yescharacteristic
131C22×D4×C103—24no—
132C22×D4×C103—24no—
133C22×D4×C103C2×C418yescomplemented
134C22×D4×C103C2311yescharacteristic
135C22×D4×C103C2312yes—
136C22×D4×C103C2311yescharacteristic
137C22×D4×C103C2312yes—
138C22×D4×C103C2312yes—
139C22×D4×C103C2311yescharacteristic
140C23×C4×C103—28no—
141C23×C4×C103—44no—
142C23×C4×C103—44no—
143C23×C4×C103C2311yescharacteristic
144C23×C4×C103C2312yes—
145C23×C4×C103C2311yescharacteristic
146C23×C4×C103C2312yes—
147C23×C4×C103C2312yes—
148C23×C4×C103C2311yescharacteristic
149C23×C4×C103C2312yes—
150C23×C4×C103C2311yescharacteristic
151C23×C4×C103C2312yes—
152C23×C4×C103C2312yes—
153C23×C4×C103C2312yes—
154C23×C4×C103C2312yes—
155C23×C4×C103C2312yes—
156C23×C4×C103C2312yes—
157#124×C103C2×C418yescomplemented
158#123×C103C2×C4116yescomplemented
159C22⋊Q8×C103C2×C418yescomplemented
160#121×C103C2×C418yescomplemented
161#121×C103C2×C4116yescomplemented
162#120×C103C2×C4116yescomplemented
163C4×Q8×C103—24no—
164C4×Q8×C103—24no—
165C4×D4×C103—24no—
166C4×D4×C103—24no—
167C4×D4×C103—24no—
168C4×D4×C103—28no—
169C4×D4×C103—28no—
170C4×D4×C103—24no—
171C4×D4×C103—28no—
172C4×D4×C103—28no—
173C4×D4×C103—24no—
174C4×D4×C103—44no—
175C4×D4×C103—44no—
176C4×D4×C103C2×C418yescomplemented
177C4×D4×C103C2×C418yescomplemented
178C4×D4×C103D418yescomplemented
179#117×C103—28no—
180#117×C103—24no—
181C2×C4⋊C4×C103—28no—
182C2×C4⋊C4×C103—24no—
183C2×C4⋊C4×C103—24no—
184C2×C4⋊C4×C103—44no—
185C2×C4⋊C4×C103C2311yescharacteristic
186C2×C4⋊C4×C103C2311yescharacteristic
187C2×C4⋊C4×C103C2312yes—
188C2×C4⋊C4×C103C2311yescharacteristic
189C2×C4⋊C4×C103C2311yescharacteristic
190C2×C4⋊C4×C103C2311yescharacteristic
191C2×C4⋊C4×C103C2312yes—
192C2×C4⋊C4×C103C2312yes—
193C2×C4⋊C4×C103C2312yes—
194C2×C4⋊C4×C103C2311yescharacteristic
195C2×C4⋊C4×C103C2312yes—
196C2×C4⋊C4×C103C2311yescharacteristic
197C2×C4⋊C4×C103C2312yes—
198C2×C4⋊C4×C103C2312yes—
199C2×C4⋊C4×C103C2312yes—
200C2×C4⋊C4×C103C2311yescharacteristic
201C2×C4⋊C4×C103C2312yes—
202C2×C4⋊C4×C103C2311yescharacteristic
203C2×C4⋊C4×C103C2311yescharacteristic
204C2×C22⋊C4×C103—28no—
205C2×C22⋊C4×C103—44no—
206C2×C22⋊C4×C103C2×C4116yescomplemented
207C2×C22⋊C4×C103C2311yescharacteristic
208C2×C22⋊C4×C103C2312yes—
209C2×C22⋊C4×C103C2311yescharacteristic
210C2×C22⋊C4×C103C2312yes—
211C2×C22⋊C4×C103C2311yescharacteristic
212C2×C22⋊C4×C103C2312yes—
213C2×C22⋊C4×C103C2312yes—
214C2×C22⋊C4×C103C2311yescharacteristic
215C2×C22⋊C4×C103C2311yescharacteristic
216C2×C22⋊C4×C103C2312yes—
217C2×C22⋊C4×C103C2312yes—
218C2×C22⋊C4×C103C2312yes—
219C2×C22⋊C4×C103C2311yescharacteristic
220C2×C22⋊C4×C103C2312yes—
221C2×C22⋊C4×C103C2312yes—
222C2×C22⋊C4×C103C2312yes—
223C2×C22⋊C4×C103C2312yes—
224C2×C22⋊C4×C103C2312yes—
225C2×C22⋊C4×C103C2311yescharacteristic
226C2×C22⋊C4×C103C2312yes—
227C2×C22⋊C4×C103C2312yes—
228C2×C22⋊C4×C103C2312yes—
229C2×C22⋊C4×C103C2312yes—
230C2×C22⋊C4×C103C2311yescharacteristic
231C2×C22⋊C4×C103C2312yes—
232C2×C42×C103—24no—
233C2×C42×C103C2311yescharacteristic
234C2×C42×C103C2312yes—
235C2×C42×C103C2312yes—
236C2×C42×C103C2311yescharacteristic
237C2×C42×C103C2311yescharacteristic
238C2×C42×C103C2311yescharacteristic
239C2×C42×C103C2311yescharacteristic
240C2×C42×C103C2312yes—
241C2×C42×C103C2312yes—
242C2×C42×C103C2312yes—
243C2×C42×C103C2311yescharacteristic
244C2×C42×C103C2311yescharacteristic
245#95×C103C2311yescharacteristic
246#95×C103C2311yescharacteristic
247#95×C103C2312yes—
248#95×C103C2312yes—
249#95×C103C2312yes—
250#95×C103C2312yes—
251#95×C103C2312yes—
252#95×C103C2312yes—
253#95×C103C2311yescharacteristic
254#95×C103C2311yescharacteristic
255#95×C103C2311yescharacteristic
256#95×C103C2312yes—
257#95×C103C2312yes—
258#95×C103C2312yes—
259#95×C103C2312yes—
260#95×C103C2311yescharacteristic
261#95×C103C2311yescharacteristic
262#95×C103C2311yescharacteristic
263#95×C103C2311yescharacteristic
264#95×C103C2312yes—
265#95×C103C2311yescharacteristic
266C24×C103—24no—
267C24×C103—24no—
268C24×C103—24no—
269C24×C103—24no—
270C24×C103—42no—
271C24×C103—42no—
272C24×C103C22×C418yes—
273C24×C103C2412yes—
274C24×C103C2411yescharacteristic
275C24×C103C2412yes—
276C24×C103C2411yescharacteristic
277#41×C103—232no—
278C2×Q8×C103—22no—
279C2×Q8×C103—22no—
280C2×Q8×C103C22×C414yescomplemented
281C2×D4×C103—24no—
282C2×D4×C103—24no—
283C2×D4×C103—24no—
284C2×D4×C103—24no—
285C2×D4×C103—22no—
286C2×D4×C103—22no—
287C2×D4×C103—232no—
288C2×D4×C103—22no—
289C2×D4×C103—22no—
290C2×D4×C103—42no—
291C2×D4×C103—42no—
292C2×D4×C103C22×C414yes—
293C2×D4×C103C22×C418yes—
294C2×D4×C103C22×C414yes—
295C2×D4×C103C22×C414yes—
296C2×D4×C103C22×C418yescomplemented
297C2×D4×C103C22×C418yescomplemented
298C2×D4×C103C2×D414yes—
299C2×D4×C103#4114yes—
300C22×C4×C103—24no—
301C22×C4×C103—24no—
302C22×C4×C103—22no—
303C22×C4×C103—22no—
304C22×C4×C103—22no—
305C22×C4×C103—22no—
306C22×C4×C103—22no—
307C22×C4×C103—22no—
308C22×C4×C103—22no—
309C22×C4×C103—24no—
310C22×C4×C103—24no—
311C22×C4×C103—22no—
312C22×C4×C103—24no—
313C22×C4×C103—24no—
314C22×C4×C103—22no—
315C22×C4×C103—24no—
316C22×C4×C103—24no—
317C22×C4×C103—24no—
318C22×C4×C103—24no—
319C22×C4×C103—24no—
320C22×C4×C103—24no—
321C22×C4×C103—42no—
322C22×C4×C103—42no—
323C22×C4×C103—42no—
324C22×C4×C103—42no—
325C22×C4×C103—42no—
326C22×C4×C103—42no—
327C22×C4×C103—42no—
328C22×C4×C103—42no—
329C22×C4×C103—41no—
330C22×C4×C103—42no—
331C22×C4×C103—42no—
332C22×C4×C103—42no—
333C22×C4×C103—42no—
334C22×C4×C103—42no—
335C22×C4×C103—42no—
336C22×C4×C103—42no—
337C22×C4×C103—432no—
338C22×C4×C103C22×C414yes—
339C22×C4×C103C22×C418yescomplemented
340C22×C4×C103C22×C414yescomplemented
341C22×C4×C103C22×C418yescomplemented
342C22×C4×C103C2×D418yes—
343C22×C4×C103C2411yescharacteristic
344C22×C4×C103C2411yescharacteristic
345C22×C4×C103C2411yescharacteristic
346C22×C4×C103C2412yes—
347C22×C4×C103C2411yescharacteristic
348C22×C4×C103C2412yes—
349C22×C4×C103C2411yescharacteristic
350C22×C4×C103C2412yes—
351C22×C4×C103C2411yescharacteristic
352C22×C4×C103C2412yes—
353C22×C4×C103C2412yes—
354C22×C4×C103C2411yescharacteristic
355C22×C4×C103C2411yescharacteristic
356C22×C4×C103C2411yescharacteristic
357C22×C4×C103C2411yescharacteristic
358C22×C4×C103C2411yescharacteristic
359C22×C4×C103C2412yes—
360C22×C4×C103C2411yescharacteristic
361C22×C4×C103C2411yescharacteristic
362C4⋊C4×C103—22no—
363C4⋊C4×C103—24no—
364C4⋊C4×C103—24no—
365C4⋊C4×C103—22no—
366C4⋊C4×C103—24no—
367C4⋊C4×C103—24no—
368C4⋊C4×C103—22no—
369C4⋊C4×C103—22no—
370C4⋊C4×C103—22no—
371C4⋊C4×C103—22no—
372C4⋊C4×C103—24no—
373C4⋊C4×C103—42no—
374C4⋊C4×C103—42no—
375C4⋊C4×C103—41no—
376C4⋊C4×C103—42no—
377C4⋊C4×C103C22×C414yescomplemented
378C4⋊C4×C103C22×C414yescomplemented
379C4⋊C4×C103C22×C418yescomplemented
380C4⋊C4×C103C2×D414yes—
381C22⋊C4×C103—24no—
382C22⋊C4×C103—24no—
383C22⋊C4×C103—24no—
384C22⋊C4×C103—22no—
385C22⋊C4×C103—24no—
386C22⋊C4×C103—22no—
387C22⋊C4×C103—24no—
388C22⋊C4×C103—24no—
389C22⋊C4×C103—22no—
390C22⋊C4×C103—22no—
391C22⋊C4×C103—22no—
392C22⋊C4×C103—42no—
393C22⋊C4×C103—42no—
394C22⋊C4×C103—42no—
395C22⋊C4×C103—41no—
396C22⋊C4×C103—42no—
397C22⋊C4×C103—42no—
398C22⋊C4×C103C22×C414yes—
399C22⋊C4×C103C22×C418yes—
400C22⋊C4×C103C22×C418yescomplemented
401C22⋊C4×C103C22×C418yescomplemented
402C22⋊C4×C103C22×C418yescomplemented
403C22⋊C4×C103C22×C414yescomplemented
404C22⋊C4×C103C22×C418yescomplemented
405C22⋊C4×C103C2×D418yes—
406C42×C103—22no—
407C42×C103—22no—
408C42×C103—22no—
409C42×C103—24no—
410C42×C103—24no—
411C42×C103—22no—
412C42×C103—22no—
413C42×C103—42no—
414C42×C103—42no—
415C42×C103—42no—
416C42×C103C22×C414yescomplemented
417C42×C103C2×D414yes—
418C23×C103—21no—
419C23×C103—21no—
420C23×C103—22no—
421C23×C103—21no—
422C23×C103—22no—
423C23×C103—22no—
424C23×C103—22no—
425C23×C103—21no—
426C23×C103—216no—
427C23×C103—216no—
428C23×C103—21no—
429C23×C103—22no—
430C23×C103—21no—
431C23×C103—22no—
432C23×C103—21no—
433C23×C103—21no—
434C23×C103—22no—
435C23×C103—22no—
436C23×C103—21no—
437C23×C103—22no—
438C23×C103—21no—
439C23×C103—22no—
440C23×C103—48no—
441C23×C103—48no—
442C23×C103—48no—
443C23×C103—48no—
444C23×C103—48no—
445C23×C103C23×C414yes—
446C23×C103C23×C412yes—
447C23×C103C23×C414yes—
448C23×C103C23×C412yes—
449C23×C103C22×D414yes—
450C23×C103C2×#4114yes—
451C23×C103H(5,𝔽2)12yes—
452C23×C1032−1+412yes—
453C23×C103C2511yescharacteristic
454Q8×C103—28no—
455D4×C103—216no—
456D4×C103—216no—
457D4×C103—28no—
458D4×C103—28no—
459D4×C103—48no—
460D4×C103C4×D4116yescomplemented
461C2×C4×C103—28no—
462C2×C4×C103—216no—
463C2×C4×C103—21no—
464C2×C4×C103—22no—
465C2×C4×C103—21no—
466C2×C4×C103—21no—
467C2×C4×C103—21no—
468C2×C4×C103—21no—
469C2×C4×C103—22no—
470C2×C4×C103—21no—
471C2×C4×C103—22no—
472C2×C4×C103—22no—
473C2×C4×C103—22no—
474C2×C4×C103—21no—
475C2×C4×C103—21no—
476C2×C4×C103—21no—
477C2×C4×C103—21no—
478C2×C4×C103—21no—
479C2×C4×C103—21no—
480C2×C4×C103—21no—
481C2×C4×C103—22no—
482C2×C4×C103—21no—
483C2×C4×C103—28no—
484C2×C4×C103—28no—
485C2×C4×C103—21no—
486C2×C4×C103—21no—
487C2×C4×C103—22no—
488C2×C4×C103—21no—
489C2×C4×C103—22no—
490C2×C4×C103—21no—
491C2×C4×C103—21no—
492C2×C4×C103—22no—
493C2×C4×C103—21no—
494C2×C4×C103—22no—
495C2×C4×C103—21no—
496C2×C4×C103—21no—
497C2×C4×C103—22no—
498C2×C4×C103—22no—
499C2×C4×C103—22no—
500C2×C4×C103—21no—
501C2×C4×C103—22no—
502C2×C4×C103—21no—
503C2×C4×C103—21no—
504C2×C4×C103—21no—
505C2×C4×C103—22no—
506C2×C4×C103—21no—
507C2×C4×C103—21no—
508C2×C4×C103—21no—
509C2×C4×C103—48no—
510C2×C4×C103—48no—
511C2×C4×C103—48no—
512C2×C4×C103—44no—
513C2×C4×C103—48no—
514C2×C4×C103—48no—
515C2×C4×C103—48no—
516C2×C4×C103—84no—
517C2×C4×C103—84no—
518C2×C4×C103—84no—
519C2×C4×C103C23×C412yes—
520C2×C4×C103C23×C412yes—
521C2×C4×C103C23×C414yes—
522C2×C4×C103C23×C412yes—
523C2×C4×C103C23×C414yes—
524C2×C4×C103C23×C412yes—
525C2×C4×C103C23×C412yes—
526C2×C4×C103C22×D412yes—
527C2×C4×C103C22×D412yes—
528C2×C4×C103C22×D414yes—
529C2×C4×C103C22×D412yes—
530C2×C4×C103C2×#4112yes—
531C2×C4×C103H(5,𝔽2)12yes—
532C22×C103—22no—
533C22×C103—24no—
534C22×C103—24no—
535C22×C103—22no—
536C22×C103—22no—
537C22×C103—24no—
538C22×C103—22no—
539C22×C103—24no—
540C22×C103—24no—
541C22×C103—22no—
542C22×C103—22no—
543C22×C103—24no—
544C22×C103—22no—
545C22×C103—24no—
546C22×C103—22no—
547C22×C103—24no—
548C22×C103—22no—
549C22×C103—24no—
550C22×C103—432no—
551C22×C103—42no—
552C22×C103—41no—
553C22×C103—41no—
554C22×C103—42no—
555C22×C103—41no—
556C22×C103—42no—
557C22×C103—41no—
558C22×C103—42no—
559C22×C103C2×C4×D418yes—
560C22×C103#52014yescomplemented
561C22×C103C24×C411yescharacteristic
562C22×C103C23×D411yescharacteristic
563C22×C103C22×#4111yescharacteristic
564C22×C103C2×H(5,𝔽2)11yescharacteristic
565C22×C103C2×H(5,𝔽2)11yescharacteristic
566C22×C103C2×2−1+411yescharacteristic
567C22×C103#58511yescharacteristic
568C4×C103—22no—
569C4×C103—22no—
570C4×C103—24no—
571C4×C103—22no—
572C4×C103—22no—
573C4×C103—24no—
574C4×C103—22no—
575C4×C103—22no—
576C4×C103—24no—
577C4×C103—22no—
578C4×C103—42no—
579C4×C103—41no—
580C4×C103—42no—
581C4×C103—41no—
582C4×C103—41no—
583C4×C103—42no—
584C4×C103—41no—
585C4×C103—41no—
586C4×C103C2×C4×D414yes—
587#34288C10311yesmaximal, characteristic, direct product factor, Sylow
588C2×C103—24no—
589C2×C103—28no—
590C2×C103—42no—
591C2×C103—44no—
592C2×C103C22×C4×D411yescharacteristic
593C2×C103C2×#52011yescharacteristic
594C2×C103C4×H(5,𝔽2)11yescharacteristic
595C2×C103#348411yescharacteristic
596C2×C103#348911yescharacteristic
597C2×C103#351311yescharacteristic
598C2×C103#352011yescharacteristic
599C2×#546C2×C10311yescharacteristic
600C2×#520C2×C10311yescharacteristic, complemented
601C22×C4×D4C2×C10311yescharacteristic, complemented
602#2367C2×C10311yescharacteristic, complemented
603#2361C2×C10312yescomplemented
604#2361C2×C10311yescharacteristic, complemented
605#2360C2×C10311yescharacteristic, complemented
606#2359C2×C10312yescomplemented
607#2358C2×C10312yescomplemented
608D4×C4⋊C4C2×C10311yescharacteristic, complemented
609D4×C4⋊C4C2×C10311yescharacteristic, complemented
610#2342C2×C10312yescomplemented
611#2339C2×C10311yescharacteristic, complemented
612D4×C22⋊C4C2×C10311yescharacteristic, complemented
613#2326C2×C10311yescharacteristic, complemented
614#2325C2×C10312yescomplemented
615#2324C2×C10311yescharacteristic, complemented
616#2322C2×C10312yescomplemented
617C4×C22⋊Q8C2×C10311yescharacteristic, complemented
618C4×#120C2×C10312yescomplemented
619#2290C2×C10311yescharacteristic, complemented
620C2×#385C2×C10312yescomplemented
621#2275C2×C10311yescharacteristic, complemented
622C103#3428811yescharacteristic, direct product factor, Sylow
623C22×#41C22×C10311yescharacteristic
624C23×D4C22×C10311yescharacteristic
625C24×C4C22×C10312yes—
626#546C4×C103116yescomplemented
627C2×#124C22×C10311yescharacteristic
628C2×#123C22×C10312yes—
629C2×C22⋊Q8C22×C10311yescharacteristic
630C2×#121C22×C10311yescharacteristic
631C2×#121C22×C10312yes—
632C2×#120C22×C10312yes—
633#520—28no—
634C2×C4×Q8C22×C10311yescharacteristic, complemented
635C2×C4×Q8C22×C10311yescharacteristic, complemented
636C2×C4×D4—28no—
637C2×C4×D4C22×C10312yes—
638C2×C4×D4C22×C10311yescharacteristic
639C2×C4×D4C22×C10311yescharacteristic
640C2×C4×D4C22×C10311yescharacteristic
641C2×C4×D4C22×C10311yescharacteristic
642C2×C4×D4C22×C10312yes—
643C2×C4×D4C22×C10311yescharacteristic
644C2×C4×D4C22×C10312yes—
645C2×C4×D4C22×C10311yescharacteristic
646C2×C4×D4C22×C10311yescharacteristic
647C2×C4×D4C22×C10311yescharacteristic
648C2×C4×D4C22×C10312yescomplemented
649C2×C4×D4C22×C10312yescomplemented
650C2×C4×D4C22×C10312yescomplemented
651C2×#117C22×C10311yescharacteristic, complemented
652C2×#117C22×C10312yescomplemented
653C22×C4⋊C4C22×C10311yescharacteristic
654C22×C4⋊C4C22×C10312yescomplemented
655C22×C4⋊C4C22×C10311yescharacteristic, complemented
656C22×C4⋊C4C22×C10312yescomplemented
657C22×C22⋊C4C22×C10312yes—
658C22×C22⋊C4C22×C10312yes—
659C22×C22⋊C4C22×C10312yes—
660C22×C42C22×C10311yescharacteristic
661#391C22×C10311yescharacteristic, complemented
662#391C22×C10311yescharacteristic, complemented
663#390C22×C10311yescharacteristic
664#390C22×C10311yescharacteristic
665#390C22×C10312yescomplemented
666#389C22×C10312yescomplemented
667#389C22×C10312yescomplemented
668#389C22×C10311yescharacteristic, complemented
669#389C22×C10311yescharacteristic, complemented
670#388C22×C10312yescomplemented
671#388C22×C10312yescomplemented
672#388C22×C10312yescomplemented
673#388C22×C10311yescharacteristic, complemented
674#388C22×C10312yescomplemented
675#388C22×C10312yescomplemented
676#388C22×C10312yescomplemented
677#388C22×C10311yescharacteristic, complemented
678#387C22×C10311yescharacteristic, complemented
679#387C22×C10312yescomplemented
680#387C22×C10312yescomplemented
681#387C22×C10311yescharacteristic, complemented
682#386C22×C10312yes—
683#386C22×C10312yes—
684#386C22×C10311yescharacteristic
685#386C22×C10311yescharacteristic
686#386C22×C10312yescomplemented
687#386C22×C10312yescomplemented
688#386C22×C10312yescomplemented
689#386C22×C10312yescomplemented
690#385C22×C10311yescharacteristic
691#385C22×C10312yes—
692#385C22×C10312yes—
693#385C22×C10311yescharacteristic
694#385C22×C10312yes—
695#385C22×C10312yescomplemented
696#385C22×C10312yescomplemented
697#385C22×C10312yescomplemented
698#385C22×C10312yescomplemented
699#385C22×C10312yescomplemented
700#385C22×C10312yescomplemented
701#385C22×C10312yescomplemented
702#385C22×C10312yescomplemented
703#384C22×C10311yescharacteristic, complemented
704#381C22×C10312yescomplemented
705#380C22×C10311yescharacteristic
706#380C22×C10311yescharacteristic, complemented
707#380C22×C10312yescomplemented
708#379C22×C10312yes—
709C4×C4⋊C4C22×C10311yescharacteristic, complemented
710C4×C4⋊C4C22×C10311yescharacteristic, complemented
711C4×C4⋊C4C22×C10311yescharacteristic, complemented
712C4×C4⋊C4C22×C10312yescomplemented
713C4×C4⋊C4C22×C10311yescharacteristic, complemented
714C4×C22⋊C4C22×C10311yescharacteristic
715C4×C22⋊C4C22×C10312yes—
716C4×C22⋊C4C22×C10312yes—
717C4×C22⋊C4C22×C10312yescomplemented
718C4×C22⋊C4C22×C10311yescharacteristic, complemented
719C4×C22⋊C4C22×C10312yescomplemented
720C4×C22⋊C4C22×C10312yescomplemented
721C4×C22⋊C4C22×C10312yescomplemented
722#376C22×C10311yescharacteristic, complemented
723C2×#95C22×C10312yescomplemented
724C2×#95C22×C10312yescomplemented
725C25C23×C10312yes—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41C2×C4×C10318yescomplemented
729C22×Q8C23×C10311yescharacteristic
730C22×D4—24no—
731C22×D4—24no—
732C22×D4C2×C4×C10318yescomplemented
733C22×D4C23×C10311yescharacteristic
734C22×D4C23×C10312yes—
735C22×D4C23×C10311yescharacteristic
736C22×D4C23×C10312yes—
737C22×D4C23×C10312yes—
738C22×D4C23×C10311yescharacteristic
739C23×C4—28no—
740C23×C4—44no—
741C23×C4—44no—
742C23×C4C23×C10311yescharacteristic
743C23×C4C23×C10311yescharacteristic
744C23×C4C23×C10312yes—
745C23×C4C23×C10312yes—
746C23×C4C23×C10312yes—
747C23×C4C23×C10311yescharacteristic
748C23×C4C23×C10312yes—
749C23×C4C23×C10311yescharacteristic
750C23×C4C23×C10312yes—
751C23×C4C23×C10312yes—
752C23×C4C23×C10312yes—
753C23×C4C23×C10312yes—
754C23×C4C23×C10312yes—
755C23×C4C23×C10312yes—
756#124C2×C4×C10318yescomplemented
757#123C2×C4×C103116yescomplemented
758C22⋊Q8C2×C4×C10318yescomplemented
759#121C2×C4×C10318yescomplemented
760#121C2×C4×C103116yescomplemented
761#120C2×C4×C103116yescomplemented
762C4×Q8—24no—
763C4×Q8—24no—
764C4×D4—24no—
765C4×D4—24no—
766C4×D4—24no—
767C4×D4—28no—
768C4×D4—28no—
769C4×D4—24no—
770C4×D4—28no—
771C4×D4—28no—
772C4×D4—24no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4C2×C4×C10318yescomplemented
776C4×D4C2×C4×C10318yescomplemented
777C4×D4D4×C10318yescomplemented
778#117—28no—
779#117—24no—
780C2×C4⋊C4—28no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—44no—
784C2×C4⋊C4C23×C10311yescharacteristic
785C2×C4⋊C4C23×C10312yes—
786C2×C4⋊C4C23×C10311yescharacteristic
787C2×C4⋊C4C23×C10312yes—
788C2×C4⋊C4C23×C10311yescharacteristic
789C2×C4⋊C4C23×C10311yescharacteristic
790C2×C4⋊C4C23×C10312yes—
791C2×C4⋊C4C23×C10312yes—
792C2×C4⋊C4C23×C10312yes—
793C2×C4⋊C4C23×C10311yescharacteristic
794C2×C4⋊C4C23×C10311yescharacteristic
795C2×C4⋊C4C23×C10312yes—
796C2×C4⋊C4C23×C10312yes—
797C2×C4⋊C4C23×C10312yes—
798C2×C4⋊C4C23×C10311yescharacteristic
799C2×C4⋊C4C23×C10311yescharacteristic
800C2×C4⋊C4C23×C10311yescharacteristic
801C2×C4⋊C4C23×C10312yes—
802C2×C4⋊C4C23×C10311yescharacteristic
803C2×C22⋊C4—28no—
804C2×C22⋊C4—44no—
805C2×C22⋊C4C2×C4×C103116yescomplemented
806C2×C22⋊C4C23×C10311yescharacteristic
807C2×C22⋊C4C23×C10312yes—
808C2×C22⋊C4C23×C10312yes—
809C2×C22⋊C4C23×C10312yes—
810C2×C22⋊C4C23×C10312yes—
811C2×C22⋊C4C23×C10312yes—
812C2×C22⋊C4C23×C10311yescharacteristic
813C2×C22⋊C4C23×C10311yescharacteristic
814C2×C22⋊C4C23×C10312yes—
815C2×C22⋊C4C23×C10311yescharacteristic
816C2×C22⋊C4C23×C10311yescharacteristic
817C2×C22⋊C4C23×C10312yes—
818C2×C22⋊C4C23×C10312yes—
819C2×C22⋊C4C23×C10312yes—
820C2×C22⋊C4C23×C10312yes—
821C2×C22⋊C4C23×C10312yes—
822C2×C22⋊C4C23×C10311yescharacteristic
823C2×C22⋊C4C23×C10311yescharacteristic
824C2×C22⋊C4C23×C10312yes—
825C2×C22⋊C4C23×C10312yes—
826C2×C22⋊C4C23×C10312yes—
827C2×C22⋊C4C23×C10312yes—
828C2×C22⋊C4C23×C10311yescharacteristic
829C2×C22⋊C4C23×C10312yes—
830C2×C22⋊C4C23×C10312yes—
831C2×C42—24no—
832C2×C42C23×C10311yescharacteristic
833C2×C42C23×C10312yes—
834C2×C42C23×C10312yes—
835C2×C42C23×C10311yescharacteristic
836C2×C42C23×C10311yescharacteristic
837C2×C42C23×C10311yescharacteristic
838C2×C42C23×C10311yescharacteristic
839C2×C42C23×C10312yes—
840C2×C42C23×C10312yes—
841C2×C42C23×C10312yes—
842C2×C42C23×C10311yescharacteristic
843C2×C42C23×C10311yescharacteristic
844#95C23×C10311yescharacteristic
845#95C23×C10311yescharacteristic
846#95C23×C10312yes—
847#95C23×C10312yes—
848#95C23×C10312yes—
849#95C23×C10312yes—
850#95C23×C10312yes—
851#95C23×C10312yes—
852#95C23×C10311yescharacteristic
853#95C23×C10311yescharacteristic
854#95C23×C10311yescharacteristic
855#95C23×C10312yes—
856#95C23×C10312yes—
857#95C23×C10312yes—
858#95C23×C10312yes—
859#95C23×C10311yescharacteristic
860#95C23×C10311yescharacteristic
861#95C23×C10311yescharacteristic
862#95C23×C10311yescharacteristic
863#95C23×C10312yes—
864#95C23×C10311yescharacteristic
865C24—24no—
866C24—24no—
867C24—24no—
868C24—24no—
869C24—42no—
870C24—42no—
871C24C22×C4×C10318yes—
872C24C24×C10312yes—
873C24C24×C10311yescharacteristic
874C24C24×C10312yes—
875C24C24×C10311yescharacteristic
876#41—232no—
877C2×Q8—22no—
878C2×Q8—22no—
879C2×Q8C22×C4×C10314yescomplemented
880C2×D4—24no—
881C2×D4—24no—
882C2×D4—24no—
883C2×D4—24no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—232no—
887C2×D4—22no—
888C2×D4—22no—
889C2×D4—42no—
890C2×D4—42no—
891C2×D4C22×C4×C10314yes—
892C2×D4C22×C4×C10318yes—
893C2×D4C22×C4×C10314yes—
894C2×D4C22×C4×C10314yes—
895C2×D4C22×C4×C10318yescomplemented
896C2×D4C22×C4×C10318yescomplemented
897C2×D4C2×D4×C10314yes—
898C2×D4#41×C10314yes—
899C22×C4—24no—
900C22×C4—24no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—24no—
909C22×C4—24no—
910C22×C4—22no—
911C22×C4—24no—
912C22×C4—24no—
913C22×C4—22no—
914C22×C4—24no—
915C22×C4—24no—
916C22×C4—24no—
917C22×C4—24no—
918C22×C4—24no—
919C22×C4—24no—
920C22×C4—42no—
921C22×C4—42no—
922C22×C4—42no—
923C22×C4—42no—
924C22×C4—42no—
925C22×C4—42no—
926C22×C4—42no—
927C22×C4—42no—
928C22×C4—41no—
929C22×C4—42no—
930C22×C4—42no—
931C22×C4—42no—
932C22×C4—42no—
933C22×C4—42no—
934C22×C4—42no—
935C22×C4—42no—
936C22×C4—432no—
937C22×C4C22×C4×C10314yes—
938C22×C4C22×C4×C10318yescomplemented
939C22×C4C22×C4×C10314yescomplemented
940C22×C4C22×C4×C10318yescomplemented
941C22×C4C2×D4×C10318yes—
942C22×C4C24×C10311yescharacteristic
943C22×C4C24×C10311yescharacteristic
944C22×C4C24×C10311yescharacteristic
945C22×C4C24×C10312yes—
946C22×C4C24×C10311yescharacteristic
947C22×C4C24×C10312yes—
948C22×C4C24×C10311yescharacteristic
949C22×C4C24×C10312yes—
950C22×C4C24×C10311yescharacteristic
951C22×C4C24×C10312yes—
952C22×C4C24×C10312yes—
953C22×C4C24×C10311yescharacteristic
954C22×C4C24×C10311yescharacteristic
955C22×C4C24×C10311yescharacteristic
956C22×C4C24×C10311yescharacteristic
957C22×C4C24×C10311yescharacteristic
958C22×C4C24×C10312yes—
959C22×C4C24×C10311yescharacteristic
960C22×C4C24×C10311yescharacteristic
961C4⋊C4—22no—
962C4⋊C4—24no—
963C4⋊C4—24no—
964C4⋊C4—22no—
965C4⋊C4—24no—
966C4⋊C4—24no—
967C4⋊C4—22no—
968C4⋊C4—22no—
969C4⋊C4—22no—
970C4⋊C4—22no—
971C4⋊C4—24no—
972C4⋊C4—42no—
973C4⋊C4—42no—
974C4⋊C4—41no—
975C4⋊C4—42no—
976C4⋊C4C22×C4×C10314yescomplemented
977C4⋊C4C22×C4×C10314yescomplemented
978C4⋊C4C22×C4×C10318yescomplemented
979C4⋊C4C2×D4×C10314yes—
980C22⋊C4—24no—
981C22⋊C4—24no—
982C22⋊C4—24no—
983C22⋊C4—22no—
984C22⋊C4—24no—
985C22⋊C4—22no—
986C22⋊C4—24no—
987C22⋊C4—24no—
988C22⋊C4—22no—
989C22⋊C4—22no—
990C22⋊C4—22no—
991C22⋊C4—42no—
992C22⋊C4—42no—
993C22⋊C4—42no—
994C22⋊C4—41no—
995C22⋊C4—42no—
996C22⋊C4—42no—
997C22⋊C4C22×C4×C10314yes—
998C22⋊C4C22×C4×C10318yes—
999C22⋊C4C22×C4×C10318yescomplemented
1000C22⋊C4C22×C4×C10318yescomplemented
1001C22⋊C4C22×C4×C10318yescomplemented
1002C22⋊C4C22×C4×C10314yescomplemented
1003C22⋊C4C22×C4×C10318yescomplemented
1004C22⋊C4C2×D4×C10318yes—
1005C42—22no—
1006C42—22no—
1007C42—22no—
1008C42—24no—
1009C42—24no—
1010C42—22no—
1011C42—22no—
1012C42—42no—
1013C42—42no—
1014C42—42no—
1015C42C22×C4×C10314yescomplemented
1016C42C2×D4×C10314yes—
1017C23—21no—
1018C23—21no—
1019C23—22no—
1020C23—21no—
1021C23—22no—
1022C23—22no—
1023C23—22no—
1024C23—21no—
1025C23—216no—
1026C23—216no—
1027C23—21no—
1028C23—22no—
1029C23—21no—
1030C23—22no—
1031C23—21no—
1032C23—21no—
1033C23—22no—
1034C23—22no—
1035C23—21no—
1036C23—22no—
1037C23—21no—
1038C23—22no—
1039C23—48no—
1040C23—48no—
1041C23—48no—
1042C23—48no—
1043C23—48no—
1044C23C23×C4×C10314yes—
1045C23C23×C4×C10312yes—
1046C23C23×C4×C10314yes—
1047C23C23×C4×C10312yes—
1048C23C22×D4×C10314yes—
1049C23C2×#41×C10314yes—
1050C23H(5,𝔽2)×C10312yes—
1051C232−1+4×C10312yes—
1052C23C25×C10311yescharacteristic
1053Q8—28no—
1054D4—216no—
1055D4—216no—
1056D4—28no—
1057D4—28no—
1058D4—48no—
1059D4C4×D4×C103116yescomplemented
1060C2×C4—28no—
1061C2×C4—216no—
1062C2×C4—21no—
1063C2×C4—22no—
1064C2×C4—21no—
1065C2×C4—21no—
1066C2×C4—21no—
1067C2×C4—21no—
1068C2×C4—22no—
1069C2×C4—21no—
1070C2×C4—22no—
1071C2×C4—22no—
1072C2×C4—22no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—21no—
1080C2×C4—22no—
1081C2×C4—21no—
1082C2×C4—28no—
1083C2×C4—28no—
1084C2×C4—21no—
1085C2×C4—21no—
1086C2×C4—22no—
1087C2×C4—21no—
1088C2×C4—22no—
1089C2×C4—21no—
1090C2×C4—21no—
1091C2×C4—22no—
1092C2×C4—21no—
1093C2×C4—22no—
1094C2×C4—21no—
1095C2×C4—21no—
1096C2×C4—22no—
1097C2×C4—22no—
1098C2×C4—22no—
1099C2×C4—21no—
1100C2×C4—22no—
1101C2×C4—21no—
1102C2×C4—21no—
1103C2×C4—21no—
1104C2×C4—22no—
1105C2×C4—21no—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—48no—
1109C2×C4—48no—
1110C2×C4—48no—
1111C2×C4—48no—
1112C2×C4—48no—
1113C2×C4—44no—
1114C2×C4—48no—
1115C2×C4—84no—
1116C2×C4—84no—
1117C2×C4—84no—
1118C2×C4C23×C4×C10312yes—
1119C2×C4C23×C4×C10312yes—
1120C2×C4C23×C4×C10314yes—
1121C2×C4C23×C4×C10312yes—
1122C2×C4C23×C4×C10314yes—
1123C2×C4C23×C4×C10312yes—
1124C2×C4C23×C4×C10312yes—
1125C2×C4C22×D4×C10312yes—
1126C2×C4C22×D4×C10312yes—
1127C2×C4C22×D4×C10314yes—
1128C2×C4C22×D4×C10312yes—
1129C2×C4C2×#41×C10312yes—
1130C2×C4H(5,𝔽2)×C10312yes—
1131C22—22no—
1132C22—24no—
1133C22—22no—
1134C22—24no—
1135C22—24no—
1136C22—22no—
1137C22—22no—
1138C22—24no—
1139C22—22no—
1140C22—24no—
1141C22—24no—
1142C22—22no—
1143C22—22no—
1144C22—24no—
1145C22—22no—
1146C22—24no—
1147C22—22no—
1148C22—24no—
1149C22—432no—
1150C22—42no—
1151C22—41no—
1152C22—42no—
1153C22—41no—
1154C22—42no—
1155C22—41no—
1156C22—42no—
1157C22—41no—
1158C22C2×C4×D4×C10318yes—
1159C22#520×C10314yescomplemented
1160C22C24×C4×C10311yescharacteristic
1161C22C23×D4×C10311yescharacteristic
1162C22C22×#41×C10311yescharacteristic
1163C22C2×H(5,𝔽2)×C10311yescharacteristic
1164C22C2×H(5,𝔽2)×C10311yescharacteristic
1165C22C2×2−1+4×C10311yescharacteristic
1166C22#585×C10311yescharacteristic
1167C4—22no—
1168C4—22no—
1169C4—24no—
1170C4—22no—
1171C4—22no—
1172C4—22no—
1173C4—24no—
1174C4—22no—
1175C4—22no—
1176C4—24no—
1177C4—42no—
1178C4—41no—
1179C4—42no—
1180C4—41no—
1181C4—41no—
1182C4—41no—
1183C4—42no—
1184C4—41no—
1185C4C2×C4×D4×C10314yes—
1186C2—24no—
1187C2—28no—
1188C2—44no—
1189C2—42no—
1190C2C22×C4×D4×C10311yescharacteristic
1191C2C2×#520×C10311yescharacteristic
1192C2C4×H(5,𝔽2)×C10311yescharacteristic
1193C2C103×#348411yescharacteristic
1194C2C103×#348911yescharacteristic
1195C2C103×#351311yescharacteristic
1196C2C103×#352011yescharacteristic
subgroupG/H
center, socleC23×C103C25
commutatorC22C24×C4×C103
Frattini, cosocleC23C25×C103
prime radicalC2×#546×C103C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#520×C103C2semidirect
3. C22×C4×D4×C103C2semidirect
4. C103×#2367C2semidirect
5. C103×#2361C2semidirect
6. C103×#2361C2semidirect
7. C103×#2360C2semidirect
8. C103×#2359C2semidirect
9. C103×#2358C2semidirect
10. D4×C4⋊C4×C103C2semidirect
11. D4×C4⋊C4×C103C2semidirect
12. C103×#2342C2semidirect
13. C103×#2339C2semidirect
14. D4×C22⋊C4×C103C2semidirect
15. C103×#2326C2semidirect
16. C103×#2325C2semidirect
17. C103×#2324C2semidirect
18. C103×#2322C2semidirect
19. C4×C22⋊Q8×C103C2semidirect
20. C4×#120×C103C2semidirect
21. C103×#2290C2semidirect
22. C2×#385×C103C2semidirect
23. C103×#2275C2semidirect
27. #546×C103C4semidirect
35. C2×C4×Q8×C103C22semidirect
36. C2×C4×Q8×C103C22semidirect
49. C2×C4×D4×C103C22semidirect
50. C2×C4×D4×C103C22semidirect
51. C2×C4×D4×C103C22semidirect
52. C2×#117×C103C22semidirect
53. C2×#117×C103C22semidirect
55. C22×C4⋊C4×C103C22semidirect
56. C22×C4⋊C4×C103C22semidirect
57. C22×C4⋊C4×C103C22semidirect
62. #391×C103C22semidirect
63. #391×C103C22semidirect
66. #390×C103C22semidirect
67. #389×C103C22semidirect
68. #389×C103C22semidirect
69. #389×C103C22semidirect
70. #389×C103C22semidirect
71. #388×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
82. #387×C103C22semidirect
87. #386×C103C22semidirect
88. #386×C103C22semidirect
89. #386×C103C22semidirect
90. #386×C103C22semidirect
96. #385×C103C22semidirect
97. #385×C103C22semidirect
98. #385×C103C22semidirect
99. #385×C103C22semidirect
100. #385×C103C22semidirect
101. #385×C103C22semidirect
102. #385×C103C22semidirect
103. #385×C103C22semidirect
104. #384×C103C22semidirect
105. #381×C103C22semidirect
107. #380×C103C22semidirect
108. #380×C103C22semidirect
110. C4×C4⋊C4×C103C22semidirect
111. C4×C4⋊C4×C103C22semidirect
112. C4×C4⋊C4×C103C22semidirect
113. C4×C4⋊C4×C103C22semidirect
114. C4×C4⋊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
129. C2×#41×C103C2×C4semidirect
133. C22×D4×C103C2×C4semidirect
157. #124×C103C2×C4semidirect
158. #123×C103C2×C4semidirect
159. C22⋊Q8×C103C2×C4semidirect
160. #121×C103C2×C4semidirect
161. #121×C103C2×C4semidirect
162. #120×C103C2×C4semidirect
176. C4×D4×C103C2×C4semidirect
177. C4×D4×C103C2×C4semidirect
178. C4×D4×C103D4semidirect
206. C2×C22⋊C4×C103C2×C4semidirect
280. C2×Q8×C103C22×C4semidirect
296. C2×D4×C103C22×C4semidirect
297. C2×D4×C103C22×C4semidirect
339. C22×C4×C103C22×C4semidirect
340. C22×C4×C103C22×C4semidirect
341. C22×C4×C103C22×C4semidirect
377. C4⋊C4×C103C22×C4semidirect
378. C4⋊C4×C103C22×C4semidirect
379. C4⋊C4×C103C22×C4semidirect
400. C22⋊C4×C103C22×C4semidirect
401. C22⋊C4×C103C22×C4semidirect
402. C22⋊C4×C103C22×C4semidirect
403. C22⋊C4×C103C22×C4semidirect
404. C22⋊C4×C103C22×C4semidirect
416. C42×C103C22×C4semidirect
460. D4×C103C4×D4semidirect
560. C22×C103#520semidirect
587. #34288C103direct (N × H)
600. C2×#520C2×C103semidirect
601. C22×C4×D4C2×C103semidirect
602. #2367C2×C103semidirect
603. #2361C2×C103semidirect
604. #2361C2×C103semidirect
605. #2360C2×C103semidirect
606. #2359C2×C103semidirect
607. #2358C2×C103semidirect
608. D4×C4⋊C4C2×C103semidirect
609. D4×C4⋊C4C2×C103semidirect
610. #2342C2×C103semidirect
611. #2339C2×C103semidirect
612. D4×C22⋊C4C2×C103semidirect
613. #2326C2×C103semidirect
614. #2325C2×C103semidirect
615. #2324C2×C103semidirect
616. #2322C2×C103semidirect
617. C4×C22⋊Q8C2×C103semidirect
618. C4×#120C2×C103semidirect
619. #2290C2×C103semidirect
620. C2×#385C2×C103semidirect
621. #2275C2×C103semidirect
622. C103#34288direct (N × H)
626. #546C4×C103semidirect
634. C2×C4×Q8C22×C103semidirect
635. C2×C4×Q8C22×C103semidirect
648. C2×C4×D4C22×C103semidirect
649. C2×C4×D4C22×C103semidirect
650. C2×C4×D4C22×C103semidirect
651. C2×#117C22×C103semidirect
652. C2×#117C22×C103semidirect
654. C22×C4⋊C4C22×C103semidirect
655. C22×C4⋊C4C22×C103semidirect
656. C22×C4⋊C4C22×C103semidirect
661. #391C22×C103semidirect
662. #391C22×C103semidirect
665. #390C22×C103semidirect
666. #389C22×C103semidirect
667. #389C22×C103semidirect
668. #389C22×C103semidirect
669. #389C22×C103semidirect
670. #388C22×C103semidirect
671. #388C22×C103semidirect
672. #388C22×C103semidirect
673. #388C22×C103semidirect
674. #388C22×C103semidirect
675. #388C22×C103semidirect
676. #388C22×C103semidirect
677. #388C22×C103semidirect
678. #387C22×C103semidirect
679. #387C22×C103semidirect
680. #387C22×C103semidirect
681. #387C22×C103semidirect
686. #386C22×C103semidirect
687. #386C22×C103semidirect
688. #386C22×C103semidirect
689. #386C22×C103semidirect
695. #385C22×C103semidirect
696. #385C22×C103semidirect
697. #385C22×C103semidirect
698. #385C22×C103semidirect
699. #385C22×C103semidirect
700. #385C22×C103semidirect
701. #385C22×C103semidirect
702. #385C22×C103semidirect
703. #384C22×C103semidirect
704. #381C22×C103semidirect
706. #380C22×C103semidirect
707. #380C22×C103semidirect
709. C4×C4⋊C4C22×C103semidirect
710. C4×C4⋊C4C22×C103semidirect
711. C4×C4⋊C4C22×C103semidirect
712. C4×C4⋊C4C22×C103semidirect
713. C4×C4⋊C4C22×C103semidirect
717. C4×C22⋊C4C22×C103semidirect
718. C4×C22⋊C4C22×C103semidirect
719. C4×C22⋊C4C22×C103semidirect
720. C4×C22⋊C4C22×C103semidirect
721. C4×C22⋊C4C22×C103semidirect
722. #376C22×C103semidirect
723. C2×#95C22×C103semidirect
724. C2×#95C22×C103semidirect
728. C2×#41C2×C4×C103semidirect
732. C22×D4C2×C4×C103semidirect
756. #124C2×C4×C103semidirect
757. #123C2×C4×C103semidirect
758. C22⋊Q8C2×C4×C103semidirect
759. #121C2×C4×C103semidirect
760. #121C2×C4×C103semidirect
761. #120C2×C4×C103semidirect
775. C4×D4C2×C4×C103semidirect
776. C4×D4C2×C4×C103semidirect
777. C4×D4D4×C103semidirect
805. C2×C22⋊C4C2×C4×C103semidirect
879. C2×Q8C22×C4×C103semidirect
895. C2×D4C22×C4×C103semidirect
896. C2×D4C22×C4×C103semidirect
938. C22×C4C22×C4×C103semidirect
939. C22×C4C22×C4×C103semidirect
940. C22×C4C22×C4×C103semidirect
976. C4⋊C4C22×C4×C103semidirect
977. C4⋊C4C22×C4×C103semidirect
978. C4⋊C4C22×C4×C103semidirect
999. C22⋊C4C22×C4×C103semidirect
1000. C22⋊C4C22×C4×C103semidirect
1001. C22⋊C4C22×C4×C103semidirect
1002. C22⋊C4C22×C4×C103semidirect
1003. C22⋊C4C22×C4×C103semidirect
1015. C42C22×C4×C103semidirect
1059. D4C4×D4×C103semidirect
1159. C22#520×C103semidirect

Maximal subgroups

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

subgroupindex
C2×#546×C1032
C2×#520×C1032
C22×C4×D4×C1032
C103×#23672
C103×#23612
C103×#23602
C103×#23592
C103×#23582
D4×C4⋊C4×C1032
C103×#23422
C103×#23392
D4×C22⋊C4×C1032
C103×#23262
C103×#23252
C103×#23242
C103×#23222
C4×C22⋊Q8×C1032
C4×#120×C1032
C103×#22902
C2×#385×C1032
C103×#22752
#34288103