Finite Group Databasebeta

← C103×#24736 #39930011

Subgroups — C103×#24736 #39930011

Order 26368.

924 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#464×C103C211yesmaximal, characteristic
2C2×#464×C103C211yesmaximal, characteristic
3C2×#462×C103C211yesmaximal, characteristic, complemented
4C2×C4×Q16×C103C211yesmaximal, characteristic, complemented
5C103×#2545C211yesmaximal, characteristic
6C103×#2351C211yesmaximal, characteristic, complemented
7C103×#2068C211yesmaximal, characteristic, complemented
8C103×#2067C211yesmaximal, characteristic
9C103×#2043C211yesmaximal, characteristic, complemented
10C103×#2042C211yesmaximal, characteristic
11C103×#1958C211yesmaximal, characteristic
12C103×#1939C211yesmaximal, characteristic, complemented
13C103×#1880C211yesmaximal, characteristic
14C103×#1878C211yesmaximal, characteristic, complemented
15C103×#1805C211yesmaximal, characteristic, complemented
16C22×Q16×C103C2211yescharacteristic
17C22×Q16×C103C2211yescharacteristic
18C22×SD16×C103C2211yescharacteristic
19C2×C4⋊Q8×C103C2211yescharacteristic
20C2×#124×C103C2211yescharacteristic
21C2×#124×C103C2211yescharacteristic
22C2×C4×Q8×C103C2211yescharacteristic
23C2×C4×Q8×C103C2211yescharacteristic
24C2×C4×Q8×C103C2211yescharacteristic
25C2×C4×Q8×C103C2211yescharacteristic
26#464×C103—24no—
27#464×C103—24no—
28#462×C103—24no—
29C4×Q16×C103—24no—
30C2×#107×C103C2211yescharacteristic
31C2×C4⋊C8×C103C2211yescharacteristic
32C2×C4⋊C8×C103C2211yescharacteristic
33C2×C4⋊C8×C103C2211yescharacteristic
34C2×#103×C103C2211yescharacteristic
35C2×#103×C103C2211yescharacteristic
36C2×#103×C103C2211yescharacteristic
37C2×#103×C103C2211yescharacteristic
38C2×#103×C103C2211yescharacteristic
39C2×#103×C103C2211yescharacteristic
40C2×#103×C103C2211yescharacteristic
41C2×#102×C103C2211yescharacteristic
42C2×#102×C103C2211yescharacteristic
43C2×#102×C103C2211yescharacteristic
44C2×C4×C8×C103C2211yescharacteristic
45#396×C103—21no—
46#396×C103—21no—
47#391×C103C2211yescharacteristic
48#390×C103C2211yescharacteristic
49#389×C103—21no—
50#389×C103—21no—
51#389×C103C2211yescharacteristic
52#389×C103C2211yescharacteristic
53#388×C103—21no—
54#388×C103—21no—
55#382×C103—21no—
56#382×C103C2211yescharacteristic
57C4×C4⋊C4×C103—21no—
58C4×C4⋊C4×C103C2211yescharacteristic
59#340×C103C2211yescharacteristic
60#340×C103C2211yescharacteristic
61#336×C103C2211yescharacteristic
62#336×C103C2211yescharacteristic
63C22×Q8×C103C2311yescharacteristic
64C22×Q8×C103C2311yescharacteristic
65C22×Q8×C103C2311yescharacteristic
66C22×D4×C103C2311yescharacteristic
67C2×Q16×C103—22no—
68C2×Q16×C103—22no—
69C2×Q16×C103—22no—
70C2×Q16×C103—22no—
71C2×Q16×C103—22no—
72C2×Q16×C103D414yes—
73C2×SD16×C103—22no—
74C2×SD16×C103—22no—
75C2×SD16×C103—22no—
76C22×C8×C103C2311yescharacteristic
77C22×C8×C103C2311yescharacteristic
78C22×C8×C103C2311yescharacteristic
79C22×C8×C103C2311yescharacteristic
80C4⋊Q8×C103—22no—
81C4⋊Q8×C103—41no—
82#124×C103—22no—
83#124×C103—22no—
84#124×C103—22no—
85#124×C103—41no—
86C4×Q8×C103—22no—
87C4×Q8×C103—22no—
88C4×Q8×C103—22no—
89C4×Q8×C103—22no—
90C4×Q8×C103—22no—
91C4×Q8×C103—41no—
92C4×Q8×C103—41no—
93C4×Q8×C103D414yes—
94C2×C4⋊C4×C103—21no—
95C2×C4⋊C4×C103—21no—
96C2×C4⋊C4×C103—21no—
97C2×C4⋊C4×C103—21no—
98C2×C4⋊C4×C103—21no—
99C2×C4⋊C4×C103—21no—
100C2×C4⋊C4×C103—21no—
101C2×C4⋊C4×C103—21no—
102C2×C4⋊C4×C103D411yescharacteristic
103C2×C4⋊C4×C103D411yescharacteristic
104C2×C4⋊C4×C103C2311yescharacteristic
105C2×C4⋊C4×C103C2311yescharacteristic
106C2×C4⋊C4×C103C2311yescharacteristic
107C2×C4⋊C4×C103C2311yescharacteristic
108C2×C22⋊C4×C103—21no—
109C2×C22⋊C4×C103—21no—
110C2×C22⋊C4×C103—21no—
111C2×C22⋊C4×C103—21no—
112C2×C22⋊C4×C103—21no—
113C2×C22⋊C4×C103—21no—
114C2×C42×C103—21no—
115C2×C42×C103—21no—
116C2×C42×C103—21no—
117C2×C42×C103—21no—
118C2×C42×C103C2311yescharacteristic
119C2×C42×C103C2311yescharacteristic
120C2×C42×C103C2311yescharacteristic
121#107×C103—22no—
122C4⋊C8×C103—22no—
123C4⋊C8×C103—22no—
124C4⋊C8×C103—22no—
125#103×C103—22no—
126#103×C103—22no—
127#103×C103—22no—
128#103×C103—22no—
129#103×C103—22no—
130#103×C103—22no—
131#103×C103—41no—
132#102×C103—22no—
133#102×C103—22no—
134#102×C103—41no—
135C4×C8×C103—22no—
136#95×C103—21no—
137#95×C103—21no—
138#95×C103—21no—
139#95×C103—21no—
140#95×C103—21no—
141#95×C103—21no—
142#95×C103D411yescharacteristic
143#95×C103D411yescharacteristic
144C24×C103—21no—
145C2×Q8×C103—21no—
146C2×Q8×C103—21no—
147C2×Q8×C103—21no—
148C2×Q8×C103—21no—
149C2×Q8×C103—21no—
150C2×Q8×C103—21no—
151C2×Q8×C103—21no—
152C2×Q8×C103—21no—
153C2×Q8×C103—21no—
154C2×Q8×C103—21no—
155C2×Q8×C103—21no—
156C2×Q8×C103—21no—
157C2×Q8×C103—21no—
158C2×Q8×C103—21no—
159C2×Q8×C103C2×D412yes—
160C2×Q8×C103C2×D412yes—
161C2×Q8×C103C2×D412yes—
162C2×Q8×C103#4112yes—
163C2×D4×C103—21no—
164C2×D4×C103—21no—
165C2×D4×C103—21no—
166C2×D4×C103—21no—
167C2×D4×C103—21no—
168C2×D4×C103—21no—
169C22×C4×C103—21no—
170C22×C4×C103—21no—
171C22×C4×C103—21no—
172C22×C4×C103—21no—
173C22×C4×C103—21no—
174C22×C4×C103—21no—
175C22×C4×C103—21no—
176C22×C4×C103C2×D411yescharacteristic
177C22×C4×C103C2×D411yescharacteristic
178C22×C4×C103C2×D411yescharacteristic
179C22×C4×C103C2×D411yescharacteristic
180C22×C4×C103C2×D411yescharacteristic
181C22×C4×C103C2×D411yescharacteristic
182C22×C4×C103C2411yescharacteristic
183Q16×C103—28no—
184Q16×C103—44no—
185SD16×C103—44no—
186C2×C8×C103—21no—
187C2×C8×C103—21no—
188C2×C8×C103—21no—
189C2×C8×C103—21no—
190C2×C8×C103—21no—
191C2×C8×C103—21no—
192C2×C8×C103—21no—
193C2×C8×C103—21no—
194C2×C8×C103—21no—
195C2×C8×C103—21no—
196C2×C8×C103—21no—
197C2×C8×C103C2×D412yes—
198C4⋊C4×C103—24no—
199C4⋊C4×C103—22no—
200C4⋊C4×C103—21no—
201C4⋊C4×C103—21no—
202C4⋊C4×C103—21no—
203C4⋊C4×C103—21no—
204C4⋊C4×C103—21no—
205C4⋊C4×C103—21no—
206C4⋊C4×C103—21no—
207C4⋊C4×C103—41no—
208C4⋊C4×C103—42no—
209C4⋊C4×C103—42no—
210C4⋊C4×C103—42no—
211C4⋊C4×C103—42no—
212C4⋊C4×C103—42no—
213C4⋊C4×C103—42no—
214C4⋊C4×C103—42no—
215C4⋊C4×C103C2×D412yes—
216C22⋊C4×C103—42no—
217C22⋊C4×C103—42no—
218C22⋊C4×C103—42no—
219C22⋊C4×C103—42no—
220C22⋊C4×C103—42no—
221C22⋊C4×C103—42no—
222C42×C103—24no—
223C42×C103—21no—
224C42×C103—21no—
225C42×C103—21no—
226C42×C103—21no—
227C42×C103—42no—
228C42×C103—42no—
229C42×C103—42no—
230C42×C103C2×D412yes—
231C42×C103#4112yes—
232C23×C103—41no—
233C23×C103—41no—
234C23×C103—41no—
235C23×C103—41no—
236C23×C103—41no—
237C23×C103—41no—
238C23×C103—41no—
239C23×C103C22×D411yescharacteristic
240Q8×C103—22no—
241Q8×C103—22no—
242Q8×C103—22no—
243Q8×C103—22no—
244Q8×C103—22no—
245Q8×C103—41no—
246Q8×C103—41no—
247Q8×C103—41no—
248Q8×C103—41no—
249Q8×C103—41no—
250Q8×C103—41no—
251Q8×C103#12114yes—
252D4×C103—41no—
253D4×C103—41no—
254D4×C103—41no—
255D4×C103—41no—
256C2×C4×C103—22no—
257C2×C4×C103—21no—
258C2×C4×C103—22no—
259C2×C4×C103—22no—
260C2×C4×C103—21no—
261C2×C4×C103—21no—
262C2×C4×C103—21no—
263C2×C4×C103—21no—
264C2×C4×C103—21no—
265C2×C4×C103—22no—
266C2×C4×C103—21no—
267C2×C4×C103—21no—
268C2×C4×C103—21no—
269C2×C4×C103—22no—
270C2×C4×C103—21no—
271C2×C4×C103—21no—
272C2×C4×C103—21no—
273C2×C4×C103—21no—
274C2×C4×C103—21no—
275C2×C4×C103—21no—
276C2×C4×C103—41no—
277C2×C4×C103—41no—
278C2×C4×C103—41no—
279C2×C4×C103—41no—
280C2×C4×C103—41no—
281C2×C4×C103—41no—
282C2×C4×C103—41no—
283C2×C4×C103—41no—
284C2×C4×C103—41no—
285C2×C4×C103—41no—
286C2×C4×C103—41no—
287C2×C4×C103—41no—
288C2×C4×C103—41no—
289C2×C4×C103—41no—
290C2×C4×C103—41no—
291C2×C4×C103—41no—
292C2×C4×C103#12112yes—
293C2×C4×C103#12112yes—
294C2×C4×C103#13512yes—
295C2×C4×C103C22×D411yescharacteristic
296C2×C4×C103C22×D411yescharacteristic
297C2×C4×C103C2×#4111yescharacteristic
298C2×C4×C103C2×#4111yescharacteristic
299C2×C4×C103H(5,𝔽2)11yescharacteristic
300C2×C4×C1032−1+411yescharacteristic
301C8×C103—22no—
302C8×C103—41no—
303C8×C103—41no—
304C8×C103—41no—
305C22×C103—81no—
306C22×C103—81no—
307C22×C103—81no—
308C22×C103—81no—
309C22×C103—81no—
310C22×C103—81no—
311C22×C103—81no—
312C22×C103C2×#12111yescharacteristic
313C22×C103D4211yescharacteristic
314C22×C103#54811yescharacteristic
315C22×C103C2×#13511yescharacteristic
316C22×C103#57511yescharacteristic
317C22×C103#57811yescharacteristic
318C22×C103#57811yescharacteristic
319C4×C103—24no—
320C4×C103—22no—
321C4×C103—22no—
322C4×C103—22no—
323C4×C103—42no—
324C4×C103—41no—
325C4×C103—41no—
326C4×C103—41no—
327C4×C103—42no—
328C4×C103—81no—
329C4×C103—81no—
330C4×C103—81no—
331C4×C103—81no—
332C4×C103C2×#12111yescharacteristic
333C4×C103#53711yescharacteristic
334C4×C103#54711yescharacteristic
335C4×C103#55311yescharacteristic
336#24736C10311yesmaximal, characteristic, direct product factor, Sylow
337C2×C103—161no—
338C2×C103#241611yescharacteristic
339C2×C103#303511yescharacteristic
340C2×C103#304411yescharacteristic
341C2×C103#327711yescharacteristic
342C2×C103#328511yescharacteristic
343C2×C103#336411yescharacteristic
344C2×C103#337711yescharacteristic
345C2×#464C2×C10311yescharacteristic
346C2×#464C2×C10311yescharacteristic
347C2×#462C2×C10311yescharacteristic, complemented
348C2×C4×Q16C2×C10311yescharacteristic, complemented
349#2545C2×C10311yescharacteristic
350#2351C2×C10311yescharacteristic, complemented
351#2068C2×C10311yescharacteristic, complemented
352#2067C2×C10311yescharacteristic
353#2043C2×C10311yescharacteristic, complemented
354#2042C2×C10311yescharacteristic
355#1958C2×C10311yescharacteristic
356#1939C2×C10311yescharacteristic, complemented
357#1880C2×C10311yescharacteristic
358#1878C2×C10311yescharacteristic, complemented
359#1805C2×C10311yescharacteristic, complemented
360C103#2473611yescharacteristic, direct product factor, Sylow
361C22×Q16C22×C10311yescharacteristic
362C22×Q16C22×C10311yescharacteristic
363C22×SD16C22×C10311yescharacteristic
364C2×C4⋊Q8C22×C10311yescharacteristic
365C2×#124C22×C10311yescharacteristic
366C2×#124C22×C10311yescharacteristic
367C2×C4×Q8C22×C10311yescharacteristic
368C2×C4×Q8C22×C10311yescharacteristic
369C2×C4×Q8C22×C10311yescharacteristic
370C2×C4×Q8C22×C10311yescharacteristic
371#464—24no—
372#464—24no—
373#462—24no—
374C4×Q16—24no—
375C2×#107C22×C10311yescharacteristic
376C2×C4⋊C8C22×C10311yescharacteristic
377C2×C4⋊C8C22×C10311yescharacteristic
378C2×C4⋊C8C22×C10311yescharacteristic
379C2×#103C22×C10311yescharacteristic
380C2×#103C22×C10311yescharacteristic
381C2×#103C22×C10311yescharacteristic
382C2×#103C22×C10311yescharacteristic
383C2×#103C22×C10311yescharacteristic
384C2×#103C22×C10311yescharacteristic
385C2×#103C22×C10311yescharacteristic
386C2×#102C22×C10311yescharacteristic
387C2×#102C22×C10311yescharacteristic
388C2×#102C22×C10311yescharacteristic
389C2×C4×C8C22×C10311yescharacteristic
390#396—21no—
391#396—21no—
392#391C22×C10311yescharacteristic
393#390C22×C10311yescharacteristic
394#389—21no—
395#389—21no—
396#389C22×C10311yescharacteristic
397#389C22×C10311yescharacteristic
398#388—21no—
399#388—21no—
400#382—21no—
401#382C22×C10311yescharacteristic
402C4×C4⋊C4—21no—
403C4×C4⋊C4C22×C10311yescharacteristic
404#340C22×C10311yescharacteristic
405#340C22×C10311yescharacteristic
406#336C22×C10311yescharacteristic
407#336C22×C10311yescharacteristic
408C22×Q8C23×C10311yescharacteristic
409C22×Q8C23×C10311yescharacteristic
410C22×Q8C23×C10311yescharacteristic
411C22×D4C23×C10311yescharacteristic
412C2×Q16—22no—
413C2×Q16—22no—
414C2×Q16—22no—
415C2×Q16—22no—
416C2×Q16—22no—
417C2×Q16D4×C10314yes—
418C2×SD16—22no—
419C2×SD16—22no—
420C2×SD16—22no—
421C22×C8C23×C10311yescharacteristic
422C22×C8C23×C10311yescharacteristic
423C22×C8C23×C10311yescharacteristic
424C22×C8C23×C10311yescharacteristic
425C4⋊Q8—22no—
426C4⋊Q8—41no—
427#124—22no—
428#124—22no—
429#124—22no—
430#124—41no—
431C4×Q8—22no—
432C4×Q8—22no—
433C4×Q8—22no—
434C4×Q8—22no—
435C4×Q8—22no—
436C4×Q8—41no—
437C4×Q8—41no—
438C4×Q8D4×C10314yes—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4D4×C10311yescharacteristic
448C2×C4⋊C4D4×C10311yescharacteristic
449C2×C4⋊C4C23×C10311yescharacteristic
450C2×C4⋊C4C23×C10311yescharacteristic
451C2×C4⋊C4C23×C10311yescharacteristic
452C2×C4⋊C4C23×C10311yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42—21no—
463C2×C42C23×C10311yescharacteristic
464C2×C42C23×C10311yescharacteristic
465C2×C42C23×C10311yescharacteristic
466#107—22no—
467C4⋊C8—22no—
468C4⋊C8—22no—
469C4⋊C8—22no—
470#103—22no—
471#103—22no—
472#103—22no—
473#103—22no—
474#103—22no—
475#103—22no—
476#103—41no—
477#102—22no—
478#102—22no—
479#102—41no—
480C4×C8—22no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95D4×C10311yescharacteristic
488#95D4×C10311yescharacteristic
489C24—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×D4×C10312yes—
505C2×Q8C2×D4×C10312yes—
506C2×Q8C2×D4×C10312yes—
507C2×Q8#41×C10312yes—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4C2×D4×C10311yescharacteristic
522C22×C4C2×D4×C10311yescharacteristic
523C22×C4C2×D4×C10311yescharacteristic
524C22×C4C2×D4×C10311yescharacteristic
525C22×C4C2×D4×C10311yescharacteristic
526C22×C4C2×D4×C10311yescharacteristic
527C22×C4C24×C10311yescharacteristic
528Q16—28no—
529Q16—44no—
530SD16—44no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8C2×D4×C10312yes—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—41no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4C2×D4×C10312yes—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C42—24no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—42no—
573C42—42no—
574C42—42no—
575C42C2×D4×C10312yes—
576C42#41×C10312yes—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23C22×D4×C10311yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—22no—
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592Q8—41no—
593Q8—41no—
594Q8—41no—
595Q8—41no—
596Q8#121×C10314yes—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—41no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4#121×C10312yes—
638C2×C4#121×C10312yes—
639C2×C4#135×C10312yes—
640C2×C4C22×D4×C10311yescharacteristic
641C2×C4C22×D4×C10311yescharacteristic
642C2×C4C2×#41×C10311yescharacteristic
643C2×C4C2×#41×C10311yescharacteristic
644C2×C4H(5,𝔽2)×C10311yescharacteristic
645C2×C42−1+4×C10311yescharacteristic
646C8—22no—
647C8—41no—
648C8—41no—
649C8—41no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22C2×#121×C10311yescharacteristic
658C22D42×C10311yescharacteristic
659C22#548×C10311yescharacteristic
660C22C2×#135×C10311yescharacteristic
661C22#575×C10311yescharacteristic
662C22#578×C10311yescharacteristic
663C22#578×C10311yescharacteristic
664C4—22no—
665C4—22no—
666C4—22no—
667C4—24no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—42no—
672C4—42no—
673C4—81no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4C2×#121×C10311yescharacteristic
678C4#537×C10311yescharacteristic
679C4#547×C10311yescharacteristic
680C4#553×C10311yescharacteristic
681C2—161no—
682C2C103×#241611yescharacteristic
683C2C103×#303511yescharacteristic
684C2C103×#304411yescharacteristic
685C2C103×#327711yescharacteristic
686C2C103×#328511yescharacteristic
687C2C103×#336411yescharacteristic
688C2C103×#337711yescharacteristic
subgroupG/H
center, socleC23×C103C22×D4
commutator, Frattini, cosocleC22×C4C24×C103
prime radicalC22×D4×C103C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C103 ◁ C4×C4⋊C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×#462×C103C2semidirect
4. C2×C4×Q16×C103C2semidirect
6. C103×#2351C2semidirect
7. C103×#2068C2semidirect
9. C103×#2043C2semidirect
12. C103×#1939C2semidirect
14. C103×#1878C2semidirect
15. C103×#1805C2semidirect
336. #24736C103direct (N × H)
347. C2×#462C2×C103semidirect
348. C2×C4×Q16C2×C103semidirect
350. #2351C2×C103semidirect
351. #2068C2×C103semidirect
353. #2043C2×C103semidirect
356. #1939C2×C103semidirect
358. #1878C2×C103semidirect
359. #1805C2×C103semidirect
360. C103#24736direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#464×C1032
C2×#462×C1032
C2×C4×Q16×C1032
C103×#25452
C103×#23512
C103×#20682
C103×#20672
C103×#20432
C103×#20422
C103×#19582
C103×#19392
C103×#18802
C103×#18782
C103×#18052
#24736103