Finite Group Databasebeta

← C103×#11066 #39916341

Subgroups — C103×#11066 #39916341

Order 26368.

1282 conjugacy classes of subgroups.

The subgroup lattice has 864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#102×C103C211yesmaximal, characteristic
2C22×#102×C103C211yesmaximal, characteristic
3C2×#390×C103C211yesmaximal, characteristic
4C2×#389×C103C211yesmaximal, characteristic, complemented
5C2×#340×C103C211yesmaximal, characteristic, complemented
6C2×#340×C103C211yesmaximal, characteristic, complemented
7C2×#336×C103C211yesmaximal, characteristic, complemented
8C23×D4×C103C2211yescharacteristic
9C23×C8×C103C2211yescharacteristic
10C23×C8×C103C2211yescharacteristic
11C22×C4⋊C4×C103—21no—
12C22×C4⋊C4×C103C2211yescharacteristic
13C22×C4⋊C4×C103C2211yescharacteristic
14C22×C4⋊C4×C103C2211yescharacteristic
15C22×C22⋊C4×C103—21no—
16C22×C22⋊C4×C103—21no—
17C22×C42×C103C2211yescharacteristic
18C2×#102×C103—22no—
19C2×#102×C103—22no—
20C2×#102×C103—22no—
21C2×#102×C103—22no—
22C2×#102×C103—22no—
23C2×#102×C103C414yescomplemented
24#390×C103—22no—
25#390×C103—22no—
26#389×C103—22no—
27#389×C103—22no—
28C2×#95×C103—21no—
29#340×C103—22no—
30#340×C103—22no—
31#336×C103—22no—
32C25×C103—21no—
33C22×D4×C103—21no—
34C22×D4×C103—21no—
35C22×D4×C103—21no—
36C22×D4×C103—21no—
37C22×D4×C103—21no—
38C22×D4×C103—21no—
39C22×D4×C103—21no—
40C22×D4×C103—21no—
41C22×D4×C103—21no—
42C22×D4×C103—21no—
43C22×D4×C103—21no—
44C22×D4×C103C2×C412yes—
45C22×D4×C103D412yes—
46C22×D4×C103Q812yes—
47C23×C4×C103—21no—
48C23×C4×C103—21no—
49C23×C4×C103—21no—
50C23×C4×C103D411yescharacteristic
51C23×C4×C103D411yescharacteristic
52C23×C4×C103C2311yescharacteristic
53C22×C8×C103—21no—
54C22×C8×C103—21no—
55C22×C8×C103—21no—
56C22×C8×C103—21no—
57C22×C8×C103—21no—
58C22×C8×C103—21no—
59C22×C8×C103—21no—
60C22×C8×C103—21no—
61C22×C8×C103—21no—
62C22×C8×C103—21no—
63C22×C8×C103—21no—
64C22×C8×C103—21no—
65C22×C8×C103C2×C412yes—
66C22×C8×C103D412yes—
67C2×C4⋊C4×C103—21no—
68C2×C4⋊C4×C103—21no—
69C2×C4⋊C4×C103—21no—
70C2×C4⋊C4×C103—21no—
71C2×C4⋊C4×C103—21no—
72C2×C4⋊C4×C103—21no—
73C2×C4⋊C4×C103—21no—
74C2×C4⋊C4×C103—21no—
75C2×C4⋊C4×C103—21no—
76C2×C4⋊C4×C103—21no—
77C2×C4⋊C4×C103—21no—
78C2×C4⋊C4×C103—24no—
79C2×C4⋊C4×C103—21no—
80C2×C4⋊C4×C103—21no—
81C2×C4⋊C4×C103—42no—
82C2×C4⋊C4×C103—42no—
83C2×C4⋊C4×C103C2×C412yes—
84C2×C4⋊C4×C103D412yes—
85C2×C4⋊C4×C103D412yes—
86C2×C4⋊C4×C103D412yes—
87C2×C4⋊C4×C103D412yes—
88C2×C22⋊C4×C103—24no—
89C2×C22⋊C4×C103—24no—
90C2×C22⋊C4×C103—42no—
91C2×C22⋊C4×C103—42no—
92C2×C22⋊C4×C103—42no—
93C2×C22⋊C4×C103—42no—
94C2×C42×C103—21no—
95C2×C42×C103—21no—
96C2×C42×C103—21no—
97C2×C42×C103—21no—
98C2×C42×C103—21no—
99C2×C42×C103—21no—
100#102×C103—28no—
101#102×C103—28no—
102#95×C103—24no—
103C24×C103—22no—
104C24×C103—22no—
105C24×C103—22no—
106C24×C103—41no—
107C24×C103—41no—
108C24×C103—41no—
109C24×C103—41no—
110C24×C103—41no—
111C24×C103—41no—
112C24×C103—41no—
113C24×C103—41no—
114C24×C103—41no—
115C24×C103—41no—
116C24×C103—41no—
117C24×C103—41no—
118C24×C103C2×D411yescharacteristic
119C2×D4×C103—22no—
120C2×D4×C103—22no—
121C2×D4×C103—22no—
122C2×D4×C103—22no—
123C2×D4×C103—22no—
124C2×D4×C103—22no—
125C2×D4×C103—22no—
126C2×D4×C103—22no—
127C2×D4×C103—22no—
128C2×D4×C103—22no—
129C2×D4×C103—22no—
130C2×D4×C103—22no—
131C2×D4×C103—22no—
132C2×D4×C103—22no—
133C2×D4×C103—22no—
134C2×D4×C103—41no—
135C2×D4×C103—41no—
136C2×D4×C103—41no—
137C2×D4×C103—41no—
138C2×D4×C103—41no—
139C2×D4×C103—41no—
140C2×D4×C103—41no—
141C2×D4×C103—41no—
142C2×D4×C103—41no—
143C2×D4×C103—41no—
144C2×D4×C103—41no—
145C2×D4×C103—41no—
146C2×D4×C103C4⋊C414yescomplemented
147C22×C4×C103—22no—
148C22×C4×C103—21no—
149C22×C4×C103—22no—
150C22×C4×C103—21no—
151C22×C4×C103—21no—
152C22×C4×C103—21no—
153C22×C4×C103—21no—
154C22×C4×C103—21no—
155C22×C4×C103—22no—
156C22×C4×C103—21no—
157C22×C4×C103—21no—
158C22×C4×C103—21no—
159C22×C4×C103—21no—
160C22×C4×C103—21no—
161C22×C4×C103—21no—
162C22×C4×C103—22no—
163C22×C4×C103—22no—
164C22×C4×C103—41no—
165C22×C4×C103—41no—
166C22×C4×C103—41no—
167C22×C4×C103—41no—
168C22×C4×C103—41no—
169C22×C4×C103—41no—
170C22×C4×C103—41no—
171C22×C4×C103—41no—
172C22×C4×C103—41no—
173C22×C4×C103—41no—
174C22×C4×C103—41no—
175C22×C4×C103—41no—
176C22×C4×C103—41no—
177C22×C4×C103—41no—
178C22×C4×C103—41no—
179C22×C4×C103—41no—
180C22×C4×C103D812yes—
181C22×C4×C103SD1612yes—
182C22×C4×C103C22×C411yescharacteristic
183C22×C4×C103C2×D411yescharacteristic
184C22×C4×C103C2×D411yescharacteristic
185C22×C4×C103C2×D411yescharacteristic
186C22×C4×C103C2×D411yescharacteristic
187C22×C4×C103C2×D411yescharacteristic
188C22×C4×C103C2×D411yescharacteristic
189C22×C4×C103C2×Q811yescharacteristic
190C22×C4×C103#4111yescharacteristic
191C22×C4×C103#4111yescharacteristic
192C22×C4×C103#4111yescharacteristic
193C22×C4×C103#4111yescharacteristic
194C22×C4×C103#4111yescharacteristic
195C22×C4×C103#4111yescharacteristic
196C2×C8×C103—22no—
197C2×C8×C103—22no—
198C2×C8×C103—22no—
199C2×C8×C103—22no—
200C2×C8×C103—22no—
201C2×C8×C103—22no—
202C2×C8×C103—41no—
203C2×C8×C103—41no—
204C2×C8×C103—41no—
205C2×C8×C103—41no—
206C2×C8×C103—41no—
207C2×C8×C103—41no—
208C2×C8×C103—41no—
209C2×C8×C103—41no—
210C4⋊C4×C103—22no—
211C4⋊C4×C103—22no—
212C4⋊C4×C103—22no—
213C4⋊C4×C103—22no—
214C4⋊C4×C103—22no—
215C4⋊C4×C103—22no—
216C4⋊C4×C103—22no—
217C4⋊C4×C103—48no—
218C4⋊C4×C103—41no—
219C4⋊C4×C103—41no—
220C4⋊C4×C103—41no—
221C4⋊C4×C103—41no—
222C4⋊C4×C103C22⋊C414yescomplemented
223C22⋊C4×C103—48no—
224C22⋊C4×C103—48no—
225C42×C103—41no—
226C42×C103—41no—
227C42×C103—41no—
228C42×C103—41no—
229C23×C103—24no—
230C23×C103—42no—
231C23×C103—42no—
232C23×C103—42no—
233C23×C103—42no—
234C23×C103—42no—
235C23×C103—42no—
236C23×C103—42no—
237C23×C103—42no—
238C23×C103—42no—
239C23×C103—42no—
240C23×C103—42no—
241C23×C103—42no—
242C23×C103—42no—
243C23×C103—42no—
244C23×C103—42no—
245C23×C103—42no—
246C23×C103—42no—
247C23×C103—42no—
248C23×C103—81no—
249C23×C103—81no—
250C23×C103—81no—
251C23×C103—81no—
252C23×C103—81no—
253C23×C103—81no—
254C23×C103—81no—
255C23×C103—81no—
256C23×C103—81no—
257C23×C103—81no—
258C23×C103—81no—
259C23×C103—81no—
260C23×C103—81no—
261C23×C103—81no—
262C23×C103—81no—
263C23×C103—81no—
264C23×C103C4×D411yescharacteristic
265C23×C103#12011yescharacteristic
266C23×C103#12011yescharacteristic
267C23×C103#12111yescharacteristic
268C23×C103#12111yescharacteristic
269C23×C103C22⋊Q811yescharacteristic
270C23×C103#12411yescharacteristic
271C23×C103C2×D811yescharacteristic
272C23×C103C2×SD1611yescharacteristic
273C23×C103#13511yescharacteristic
274C23×C103#13511yescharacteristic
275C23×C103AGL(1,ℤ/8)11yescharacteristic
276C23×C103AGL(1,ℤ/8)11yescharacteristic
277C23×C103AGL(1,ℤ/8)11yescharacteristic
278C23×C103#13711yescharacteristic
279D4×C103—24no—
280D4×C103—24no—
281D4×C103—42no—
282D4×C103—42no—
283D4×C103—42no—
284D4×C103—42no—
285D4×C103—42no—
286D4×C103—42no—
287C2×C4×C103—24no—
288C2×C4×C103—22no—
289C2×C4×C103—22no—
290C2×C4×C103—22no—
291C2×C4×C103—22no—
292C2×C4×C103—22no—
293C2×C4×C103—22no—
294C2×C4×C103—41no—
295C2×C4×C103—41no—
296C2×C4×C103—42no—
297C2×C4×C103—42no—
298C2×C4×C103—42no—
299C2×C4×C103—41no—
300C2×C4×C103—41no—
301C2×C4×C103—41no—
302C2×C4×C103—42no—
303C2×C4×C103—41no—
304C2×C4×C103—42no—
305C2×C4×C103—42no—
306C2×C4×C103—41no—
307C2×C4×C103—41no—
308C2×C4×C103—42no—
309C2×C4×C103—42no—
310C2×C4×C103—42no—
311C2×C4×C103—42no—
312C2×C4×C103—42no—
313C2×C4×C103—42no—
314C2×C4×C103—81no—
315C2×C4×C103—81no—
316C2×C4×C103—81no—
317C2×C4×C103—81no—
318C2×C4×C103—81no—
319C2×C4×C103—81no—
320C2×C4×C103—81no—
321C2×C4×C103—81no—
322C2×C4×C103C2×C22⋊C411yescharacteristic
323C2×C4×C103C2×C4⋊C411yescharacteristic
324C2×C4×C103#11711yescharacteristic
325C2×C4×C103C4×D411yescharacteristic
326C2×C4×C103C4×D411yescharacteristic
327C2×C4×C103C4×D411yescharacteristic
328C2×C4×C103#12011yescharacteristic
329C2×C4×C103#12111yescharacteristic
330C2×C4×C103#12111yescharacteristic
331C2×C4×C103#12111yescharacteristic
332C2×C4×C103#12111yescharacteristic
333C2×C4×C103#12111yescharacteristic
334C2×C4×C103#12111yescharacteristic
335C2×C4×C103C22⋊Q811yescharacteristic
336C2×C4×C103C22⋊Q811yescharacteristic
337C2×C4×C103C22⋊Q811yescharacteristic
338C2×C4×C103C22⋊Q811yescharacteristic
339C2×C4×C103C22⋊Q811yescharacteristic
340C2×C4×C103#12311yescharacteristic
341C2×C4×C103#12311yescharacteristic
342C2×C4×C103#12311yescharacteristic
343C2×C4×C103#12311yescharacteristic
344C2×C4×C103#12311yescharacteristic
345C2×C4×C103#12411yescharacteristic
346C2×C4×C103#12411yescharacteristic
347C2×C4×C103#12611yescharacteristic
348C2×C4×C103#12611yescharacteristic
349C2×C4×C103#12711yescharacteristic
350C8×C103—42no—
351C8×C103—42no—
352C22×C103—44no—
353C22×C103—44no—
354C22×C103—44no—
355C22×C103—82no—
356C22×C103—82no—
357C22×C103—82no—
358C22×C103—82no—
359C22×C103—82no—
360C22×C103—82no—
361C22×C103—82no—
362C22×C103—82no—
363C22×C103—82no—
364C22×C103—82no—
365C22×C103—82no—
366C22×C103—82no—
367C22×C103#38511yescharacteristic
368C22×C103#38611yescharacteristic
369C22×C103#38811yescharacteristic
370C22×C103#39211yescharacteristic
371C22×C103#39311yescharacteristic
372C22×C103#39411yescharacteristic
373C22×C103#39611yescharacteristic
374C22×C103C4×D811yescharacteristic
375C22×C103C4×SD1611yescharacteristic
376C22×C103#44011yescharacteristic
377C22×C103#44211yescharacteristic
378C22×C103#44711yescharacteristic
379C22×C103#44711yescharacteristic
380C22×C103#44811yescharacteristic
381C22×C103#44911yescharacteristic
382C22×C103#44911yescharacteristic
383C22×C103#44911yescharacteristic
384C22×C103#45011yescharacteristic
385C22×C103#45211yescharacteristic
386C22×C103#45911yescharacteristic
387C22×C103#46011yescharacteristic
388C22×C103#46311yescharacteristic
389C22×C103#46411yescharacteristic
390C22×C103#46511yescharacteristic
391C22×C103#46611yescharacteristic
392C22×C103#46811yescharacteristic
393C22×C103#46911yescharacteristic
394C22×C103#47411yescharacteristic
395C22×C103#47611yescharacteristic
396C22×C103#47811yescharacteristic
397C22×C103#47811yescharacteristic
398C22×C103#48611yescharacteristic
399C22×C103#48811yescharacteristic
400C22×C103#48911yescharacteristic
401C22×C103#49011yescharacteristic
402C4×C103—44no—
403C4×C103—42no—
404C4×C103—42no—
405C4×C103—82no—
406C4×C103—82no—
407C4×C103#38011yescharacteristic
408C4×C103#38511yescharacteristic
409C4×C103#38811yescharacteristic
410C4×C103#39011yescharacteristic
411C4×C103#39411yescharacteristic
412C4×C103#39611yescharacteristic
413C4×C103#39711yescharacteristic
414C4×C103#39911yescharacteristic
415#11066C10311yesmaximal, characteristic, direct product factor, Sylow
416C2×C103—84no—
417C2×C103#143911yescharacteristic
418C2×C103#186211yescharacteristic
419C2×C103#186411yescharacteristic
420C2×C103#187911yescharacteristic
421C2×C103#188011yescharacteristic
422C2×C103#193411yescharacteristic
423C2×C103#193611yescharacteristic
424C2×C103#199911yescharacteristic
425C2×C103#200011yescharacteristic
426C2×C103#202311yescharacteristic
427C2×C103#202511yescharacteristic
428C2×C103#204111yescharacteristic
429C2×C103#204211yescharacteristic
430C2×C103#206511yescharacteristic
431C2×C103#206711yescharacteristic
432C22×#102C2×C10311yescharacteristic
433C22×#102C2×C10311yescharacteristic
434C2×#390C2×C10311yescharacteristic
435C2×#389C2×C10311yescharacteristic, complemented
436C2×#340C2×C10311yescharacteristic, complemented
437C2×#340C2×C10311yescharacteristic, complemented
438C2×#336C2×C10311yescharacteristic, complemented
439C103#1106611yescharacteristic, direct product factor, Sylow
440C23×D4C22×C10311yescharacteristic
441C23×C8C22×C10311yescharacteristic
442C23×C8C22×C10311yescharacteristic
443C22×C4⋊C4—21no—
444C22×C4⋊C4C22×C10311yescharacteristic
445C22×C4⋊C4C22×C10311yescharacteristic
446C22×C4⋊C4C22×C10311yescharacteristic
447C22×C22⋊C4—21no—
448C22×C22⋊C4—21no—
449C22×C42C22×C10311yescharacteristic
450C2×#102—22no—
451C2×#102—22no—
452C2×#102—22no—
453C2×#102—22no—
454C2×#102—22no—
455C2×#102C4×C10314yescomplemented
456#390—22no—
457#390—22no—
458#389—22no—
459#389—22no—
460C2×#95—21no—
461#340—22no—
462#340—22no—
463#336—22no—
464C25—21no—
465C22×D4—21no—
466C22×D4—21no—
467C22×D4—21no—
468C22×D4—21no—
469C22×D4—21no—
470C22×D4—21no—
471C22×D4—21no—
472C22×D4—21no—
473C22×D4—21no—
474C22×D4—21no—
475C22×D4—21no—
476C22×D4C2×C4×C10312yes—
477C22×D4D4×C10312yes—
478C22×D4Q8×C10312yes—
479C23×C4—21no—
480C23×C4—21no—
481C23×C4—21no—
482C23×C4D4×C10311yescharacteristic
483C23×C4D4×C10311yescharacteristic
484C23×C4C23×C10311yescharacteristic
485C22×C8—21no—
486C22×C8—21no—
487C22×C8—21no—
488C22×C8—21no—
489C22×C8—21no—
490C22×C8—21no—
491C22×C8—21no—
492C22×C8—21no—
493C22×C8—21no—
494C22×C8—21no—
495C22×C8—21no—
496C22×C8—21no—
497C22×C8C2×C4×C10312yes—
498C22×C8D4×C10312yes—
499C2×C4⋊C4—21no—
500C2×C4⋊C4—21no—
501C2×C4⋊C4—21no—
502C2×C4⋊C4—21no—
503C2×C4⋊C4—21no—
504C2×C4⋊C4—21no—
505C2×C4⋊C4—21no—
506C2×C4⋊C4—21no—
507C2×C4⋊C4—21no—
508C2×C4⋊C4—21no—
509C2×C4⋊C4—21no—
510C2×C4⋊C4—24no—
511C2×C4⋊C4—21no—
512C2×C4⋊C4—21no—
513C2×C4⋊C4—42no—
514C2×C4⋊C4—42no—
515C2×C4⋊C4C2×C4×C10312yes—
516C2×C4⋊C4D4×C10312yes—
517C2×C4⋊C4D4×C10312yes—
518C2×C4⋊C4D4×C10312yes—
519C2×C4⋊C4D4×C10312yes—
520C2×C22⋊C4—24no—
521C2×C22⋊C4—24no—
522C2×C22⋊C4—42no—
523C2×C22⋊C4—42no—
524C2×C22⋊C4—42no—
525C2×C22⋊C4—42no—
526C2×C42—21no—
527C2×C42—21no—
528C2×C42—21no—
529C2×C42—21no—
530C2×C42—21no—
531C2×C42—21no—
532#102—28no—
533#102—28no—
534#95—24no—
535C24—22no—
536C24—22no—
537C24—22no—
538C24—41no—
539C24—41no—
540C24—41no—
541C24—41no—
542C24—41no—
543C24—41no—
544C24—41no—
545C24—41no—
546C24—41no—
547C24—41no—
548C24—41no—
549C24—41no—
550C24C2×D4×C10311yescharacteristic
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—41no—
567C2×D4—41no—
568C2×D4—41no—
569C2×D4—41no—
570C2×D4—41no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—41no—
574C2×D4—41no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4—41no—
578C2×D4C4⋊C4×C10314yescomplemented
579C22×C4—22no—
580C22×C4—21no—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—22no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—21no—
591C22×C4—21no—
592C22×C4—21no—
593C22×C4—21no—
594C22×C4—22no—
595C22×C4—22no—
596C22×C4—41no—
597C22×C4—41no—
598C22×C4—41no—
599C22×C4—41no—
600C22×C4—41no—
601C22×C4—41no—
602C22×C4—41no—
603C22×C4—41no—
604C22×C4—41no—
605C22×C4—41no—
606C22×C4—41no—
607C22×C4—41no—
608C22×C4—41no—
609C22×C4—41no—
610C22×C4—41no—
611C22×C4—41no—
612C22×C4D8×C10312yes—
613C22×C4SD16×C10312yes—
614C22×C4C22×C4×C10311yescharacteristic
615C22×C4C2×D4×C10311yescharacteristic
616C22×C4C2×D4×C10311yescharacteristic
617C22×C4C2×D4×C10311yescharacteristic
618C22×C4C2×D4×C10311yescharacteristic
619C22×C4C2×D4×C10311yescharacteristic
620C22×C4C2×D4×C10311yescharacteristic
621C22×C4C2×Q8×C10311yescharacteristic
622C22×C4#41×C10311yescharacteristic
623C22×C4#41×C10311yescharacteristic
624C22×C4#41×C10311yescharacteristic
625C22×C4#41×C10311yescharacteristic
626C22×C4#41×C10311yescharacteristic
627C22×C4#41×C10311yescharacteristic
628C2×C8—22no—
629C2×C8—22no—
630C2×C8—22no—
631C2×C8—22no—
632C2×C8—22no—
633C2×C8—22no—
634C2×C8—41no—
635C2×C8—41no—
636C2×C8—41no—
637C2×C8—41no—
638C2×C8—41no—
639C2×C8—41no—
640C2×C8—41no—
641C2×C8—41no—
642C4⋊C4—22no—
643C4⋊C4—22no—
644C4⋊C4—22no—
645C4⋊C4—22no—
646C4⋊C4—22no—
647C4⋊C4—22no—
648C4⋊C4—22no—
649C4⋊C4—48no—
650C4⋊C4—41no—
651C4⋊C4—41no—
652C4⋊C4—41no—
653C4⋊C4—41no—
654C4⋊C4C22⋊C4×C10314yescomplemented
655C22⋊C4—48no—
656C22⋊C4—48no—
657C42—41no—
658C42—41no—
659C42—41no—
660C42—41no—
661C23—24no—
662C23—42no—
663C23—42no—
664C23—42no—
665C23—42no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—42no—
670C23—42no—
671C23—42no—
672C23—42no—
673C23—42no—
674C23—42no—
675C23—42no—
676C23—42no—
677C23—42no—
678C23—42no—
679C23—42no—
680C23—81no—
681C23—81no—
682C23—81no—
683C23—81no—
684C23—81no—
685C23—81no—
686C23—81no—
687C23—81no—
688C23—81no—
689C23—81no—
690C23—81no—
691C23—81no—
692C23—81no—
693C23—81no—
694C23—81no—
695C23—81no—
696C23C4×D4×C10311yescharacteristic
697C23#120×C10311yescharacteristic
698C23#120×C10311yescharacteristic
699C23#121×C10311yescharacteristic
700C23#121×C10311yescharacteristic
701C23C22⋊Q8×C10311yescharacteristic
702C23#124×C10311yescharacteristic
703C23C2×D8×C10311yescharacteristic
704C23C2×SD16×C10311yescharacteristic
705C23#135×C10311yescharacteristic
706C23#135×C10311yescharacteristic
707C23AGL(1,ℤ/8)×C10311yescharacteristic
708C23AGL(1,ℤ/8)×C10311yescharacteristic
709C23AGL(1,ℤ/8)×C10311yescharacteristic
710C23#137×C10311yescharacteristic
711D4—24no—
712D4—24no—
713D4—42no—
714D4—42no—
715D4—42no—
716D4—42no—
717D4—42no—
718D4—42no—
719C2×C4—24no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—22no—
724C2×C4—22no—
725C2×C4—22no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—42no—
735C2×C4—41no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—42no—
746C2×C4—81no—
747C2×C4—81no—
748C2×C4—81no—
749C2×C4—81no—
750C2×C4—81no—
751C2×C4—81no—
752C2×C4—81no—
753C2×C4—81no—
754C2×C4C2×C22⋊C4×C10311yescharacteristic
755C2×C4C2×C4⋊C4×C10311yescharacteristic
756C2×C4#117×C10311yescharacteristic
757C2×C4C4×D4×C10311yescharacteristic
758C2×C4C4×D4×C10311yescharacteristic
759C2×C4C4×D4×C10311yescharacteristic
760C2×C4#120×C10311yescharacteristic
761C2×C4#121×C10311yescharacteristic
762C2×C4#121×C10311yescharacteristic
763C2×C4#121×C10311yescharacteristic
764C2×C4#121×C10311yescharacteristic
765C2×C4#121×C10311yescharacteristic
766C2×C4#121×C10311yescharacteristic
767C2×C4C22⋊Q8×C10311yescharacteristic
768C2×C4C22⋊Q8×C10311yescharacteristic
769C2×C4C22⋊Q8×C10311yescharacteristic
770C2×C4C22⋊Q8×C10311yescharacteristic
771C2×C4C22⋊Q8×C10311yescharacteristic
772C2×C4#123×C10311yescharacteristic
773C2×C4#123×C10311yescharacteristic
774C2×C4#123×C10311yescharacteristic
775C2×C4#123×C10311yescharacteristic
776C2×C4#123×C10311yescharacteristic
777C2×C4#124×C10311yescharacteristic
778C2×C4#124×C10311yescharacteristic
779C2×C4#126×C10311yescharacteristic
780C2×C4#126×C10311yescharacteristic
781C2×C4#127×C10311yescharacteristic
782C8—42no—
783C8—42no—
784C22—44no—
785C22—44no—
786C22—44no—
787C22—82no—
788C22—82no—
789C22—82no—
790C22—82no—
791C22—82no—
792C22—82no—
793C22—82no—
794C22—82no—
795C22—82no—
796C22—82no—
797C22—82no—
798C22—82no—
799C22#385×C10311yescharacteristic
800C22#386×C10311yescharacteristic
801C22#388×C10311yescharacteristic
802C22#392×C10311yescharacteristic
803C22#393×C10311yescharacteristic
804C22#394×C10311yescharacteristic
805C22#396×C10311yescharacteristic
806C22C4×D8×C10311yescharacteristic
807C22C4×SD16×C10311yescharacteristic
808C22#440×C10311yescharacteristic
809C22#442×C10311yescharacteristic
810C22#447×C10311yescharacteristic
811C22#447×C10311yescharacteristic
812C22#448×C10311yescharacteristic
813C22#449×C10311yescharacteristic
814C22#449×C10311yescharacteristic
815C22#449×C10311yescharacteristic
816C22#450×C10311yescharacteristic
817C22#452×C10311yescharacteristic
818C22#459×C10311yescharacteristic
819C22#460×C10311yescharacteristic
820C22#463×C10311yescharacteristic
821C22#464×C10311yescharacteristic
822C22#465×C10311yescharacteristic
823C22#466×C10311yescharacteristic
824C22#468×C10311yescharacteristic
825C22#469×C10311yescharacteristic
826C22#474×C10311yescharacteristic
827C22#476×C10311yescharacteristic
828C22#478×C10311yescharacteristic
829C22#478×C10311yescharacteristic
830C22#486×C10311yescharacteristic
831C22#488×C10311yescharacteristic
832C22#489×C10311yescharacteristic
833C22#490×C10311yescharacteristic
834C4—42no—
835C4—42no—
836C4—44no—
837C4—82no—
838C4—82no—
839C4#380×C10311yescharacteristic
840C4#385×C10311yescharacteristic
841C4#388×C10311yescharacteristic
842C4#390×C10311yescharacteristic
843C4#394×C10311yescharacteristic
844C4#396×C10311yescharacteristic
845C4#397×C10311yescharacteristic
846C4#399×C10311yescharacteristic
847C2—84no—
848C2C103×#143911yescharacteristic
849C2C103×#186211yescharacteristic
850C2C103×#186411yescharacteristic
851C2C103×#187911yescharacteristic
852C2C103×#188011yescharacteristic
853C2C103×#193411yescharacteristic
854C2C103×#193611yescharacteristic
855C2C103×#199911yescharacteristic
856C2C103×#200011yescharacteristic
857C2C103×#202311yescharacteristic
858C2C103×#202511yescharacteristic
859C2C103×#204111yescharacteristic
860C2C103×#204211yescharacteristic
861C2C103×#206511yescharacteristic
862C2C103×#206711yescharacteristic
subgroupG/H
center, socleC24×C103C2×D4
commutatorC22×C4C22×C4×C103
Frattini, cosocleC23×C4C23×C103
prime radicalC23×D4×C103C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C103 ◁ C22×C42×C103 ◁ G

Complements

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

NH ≅ G/Ntype
4. C2×#389×C103C2semidirect
5. C2×#340×C103C2semidirect
6. C2×#340×C103C2semidirect
7. C2×#336×C103C2semidirect
23. C2×#102×C103C4semidirect
146. C2×D4×C103C4⋊C4semidirect
222. C4⋊C4×C103C22⋊C4semidirect
415. #11066C103direct (N × H)
435. C2×#389C2×C103semidirect
436. C2×#340C2×C103semidirect
437. C2×#340C2×C103semidirect
438. C2×#336C2×C103semidirect
439. C103#11066direct (N × H)
455. C2×#102C4×C103semidirect
578. C2×D4C4⋊C4×C103semidirect
654. C4⋊C4C22⋊C4×C103semidirect

Maximal subgroups

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

subgroupindex
C22×#102×C1032
C2×#390×C1032
C2×#389×C1032
C2×#340×C1032
C2×#336×C1032
#11066103