Finite Group Databasebeta

← #25266481

Subgroups — #25266481

Order 11008.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19139474C211yesmaximal, characteristic, complemented
2#19139451C211yesmaximal, characteristic, complemented
3#19139442C211yesmaximal, characteristic, complemented
4#19139419C211yesmaximal, characteristic, complemented
5#19139396C211yesmaximal, characteristic, complemented
6#19139387C211yesmaximal, characteristic, complemented
7#19139364C211yesmaximal, characteristic, complemented
8#19139152C211yesmaximal, characteristic, complemented
9#19139099C211yesmaximal, characteristic, complemented
10#19138985C211yesmaximal, characteristic, complemented
11#19138922C211yesmaximal, characteristic, complemented
12#19138424C211yesmaximal, characteristic, complemented
13#19138340C211yesmaximal, characteristic
14#19138143C211yesmaximal, characteristic
15#19138065C211yesmaximal, characteristic, complemented
16#19137901C211yesmaximal, characteristic, complemented
17#19137894C211yesmaximal, characteristic, complemented
18#19137892C211yesmaximal, characteristic, complemented
19#19137880C211yesmaximal, characteristic, complemented
20#19137125C211yesmaximal, characteristic, complemented
21#19137122C211yesmaximal, characteristic, complemented
22#19137116C211yesmaximal, characteristic, complemented
23#19137107C211yesmaximal, characteristic
24#19137087C211yesmaximal, characteristic, complemented
25#19137068C211yesmaximal, characteristic, complemented
26#19137033C211yesmaximal, characteristic, complemented
27#19137031C211yesmaximal, characteristic, complemented
28#19136990C211yesmaximal, characteristic, complemented
29C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
30#376×D43C211yesmaximal, characteristic, complemented
31C43×#2530C211yesmaximal, characteristic, complemented
32C2×#13063310C2211yescharacteristic
33C2×#13063307C2211yescharacteristic
34C2×#13063305C2211yescharacteristic
35C2×#13063298C2211yescharacteristic
36C2×#13063290C2211yescharacteristic
37C2×#13063287C2211yescharacteristic
38C2×C4×C22⋊D43C2211yescharacteristic
39C2×(C22⋊D43)⋊C4C2211yescharacteristic
40C2×(C22⋊D43)⋊C4C2211yescharacteristic
41C2×(C22⋊D43)⋊C4C2211yescharacteristic
42C2×#13063283C2211yescharacteristic
43C22×C4×Dic43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C2×C42×D43C2211yescharacteristic
46C2×C42×D43C2211yescharacteristic
47C43⋊#401C2211yescharacteristic
48C43⋊#401C2211yescharacteristic
49#14582841C2211yescharacteristic
50#14582841C2211yescharacteristic
51#14582841C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582840C2211yescharacteristic
54#14582840C2211yescharacteristic
55#14582840C2211yescharacteristic
56#14582840C2211yescharacteristic
57#14582839C2211yescharacteristic
58#14582837C2211yescharacteristic
59#14582833C2211yescharacteristic
60#14582833C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582830C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582826C2211yescharacteristic
67#14582825C2211yescharacteristic
68#14582825C2211yescharacteristic
69#14582822C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582814C2211yescharacteristic
72#14582814C2211yescharacteristic
73#14582812C2211yescharacteristic
74#14582811C2211yescharacteristic
75#14582805C2211yescharacteristic
76#14582803C2211yescharacteristic
77#14582803C2211yescharacteristic
78#14582799C2211yescharacteristic
79#14582796C2211yescharacteristic
80#14582794C2211yescharacteristic
81#14582794C2211yescharacteristic
82#14582791C2211yescharacteristic
83#14582791C2211yescharacteristic
84#14582791C2211yescharacteristic
85#14582790C2211yescharacteristic
86#14582790C2211yescharacteristic
87#14582790C2211yescharacteristic
88#14582790C2211yescharacteristic
89#14582789C2211yescharacteristic
90#14582789C2211yescharacteristic
91#14582788C2211yescharacteristic
92#14582788C2211yescharacteristic
93#14582787C2211yescharacteristic
94#14582786C2211yescharacteristic
95#14582785C2211yescharacteristic
96#14582785C2211yescharacteristic
97#14582785C2211yescharacteristic
98#14582784C2211yescharacteristic
99#14582784C2211yescharacteristic
100#14582783C2211yescharacteristic
101#14582783C2211yescharacteristic
102#14582782C2211yescharacteristic
103#14582782C2211yescharacteristic
104#14582782C2211yescharacteristic
105#14582781C2211yescharacteristic
106#14582780C2211yescharacteristic
107#14582780C2211yescharacteristic
108#14582778C2211yescharacteristic
109#14582777C2211yescharacteristic
110#14582777C2211yescharacteristic
111#14582777C2211yescharacteristic
112#14582777C2211yescharacteristic
113#14582776C2211yescharacteristic
114#14582775C2211yescharacteristic
115#14582775C2211yescharacteristic
116#14582774C2211yescharacteristic
117#14582773C2211yescharacteristic
118#14582773C2211yescharacteristic
119#14582770C2211yescharacteristic
120#14582770C2211yescharacteristic
121#14582770C2211yescharacteristic
122#14582770C2211yescharacteristic
123#14582766C2211yescharacteristic
124#14582766C2211yescharacteristic
125#14582764C2211yescharacteristic
126#14582764C2211yescharacteristic
127#14582761C2211yescharacteristic
128#14582761C2211yescharacteristic
129#14582760C2211yescharacteristic
130#14582760C2211yescharacteristic
131#14582759C2211yescharacteristic
132#14582758C2211yescharacteristic
133#14582756C2211yescharacteristic
134C4⋊C4×Dic43C2211yescharacteristic
135C4⋊C4×Dic43C2211yescharacteristic
136C4⋊C4×Dic43C2211yescharacteristic
137C4⋊C4×Dic43C2211yescharacteristic
138C4⋊C4×Dic43C2211yescharacteristic
139C4×Dic43⋊C4C2211yescharacteristic
140#14582750C2211yescharacteristic
141#14582750C2211yescharacteristic
142#14582750C2211yescharacteristic
143#14582750C2211yescharacteristic
144#14582750C2211yescharacteristic
145#14582750C2211yescharacteristic
146C22⋊C4×Dic43C2211yescharacteristic
147C22⋊C4×Dic43C2211yescharacteristic
148C22⋊C4×Dic43C2211yescharacteristic
149C22⋊C4×Dic43C2211yescharacteristic
150C22⋊C4×Dic43C2211yescharacteristic
151C4×(C2×D43)⋊C4C2211yescharacteristic
152#14582746C2211yescharacteristic
153#14582746C2211yescharacteristic
154#14582746C2211yescharacteristic
155#14582746C2211yescharacteristic
156#14582746C2211yescharacteristic
157#14582746C2211yescharacteristic
158#14582746C2211yescharacteristic
159#14582745C2211yescharacteristic
160#14582745C2211yescharacteristic
161#14582745C2211yescharacteristic
162#14582744C2211yescharacteristic
163#14582744C2211yescharacteristic
164#14582744C2211yescharacteristic
165#14582744C2211yescharacteristic
166#14582744C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#400C2211yescharacteristic
174C43×#397C2211yescharacteristic
175C43×#397C2211yescharacteristic
176C43×#389C2211yescharacteristic
177C43×#388C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#380C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C43×#376C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201#13063310—24no—
202#13063307—24no—
203#13063305—24no—
204#13063298—24no—
205#13063290—24no—
206#13063287—24no—
207C4×C22⋊D43—24no—
208(C22⋊D43)⋊C4—24no—
209(C22⋊D43)⋊C4—24no—
210(C22⋊D43)⋊C4—24no—
211#13063283—24no—
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×C22⋊Dic43C2311yescharacteristic
233C2×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×(C2×D43)⋊C4C2311yescharacteristic
237C2×(C2×D43)⋊C4C2311yescharacteristic
238C2×(C2×D43)⋊C4C2311yescharacteristic
239C2×(C2×D43)⋊C4C2311yescharacteristic
240C2×(C2×D43)⋊C4C2311yescharacteristic
241C2×(C2×D43)⋊C4C2311yescharacteristic
242C2×(C2×D43)⋊C4C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×C4×Dic43—24no—
255C2×C4×Dic43C2311yescharacteristic
256C2×C4×Dic43C2311yescharacteristic
257C2×C4×Dic43C2311yescharacteristic
258C2×C4×Dic43C2311yescharacteristic
259C2×C4×Dic43C2311yescharacteristic
260C2×C4×Dic43C2311yescharacteristic
261C2×C4×Dic43C2311yescharacteristic
262C2×C4×Dic43C2311yescharacteristic
263C2×C4×Dic43C2311yescharacteristic
264C2×C4×Dic43C2311yescharacteristic
265C2×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C42×D43—24no—
276C42×D43—24no—
277C42×D43—24no—
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C4⋊C4×C43C2311yescharacteristic
325C2×C4⋊C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C42×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C22×C4×C43—22no—
361C22×C4×C43—22no—
362C22×C4×C43—41no—
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C2×C22⋊D43—22no—
378C2×C22⋊D43—22no—
379C2×C22⋊D43—22no—
380C2×C22⋊D43—22no—
381C2×C22⋊D43—41no—
382C2×C22⋊D43#4114yes—
383C22×Dic43—22no—
384C22×Dic43—22no—
385C22×Dic43—22no—
386C22×Dic43—22no—
387C22×Dic43—22no—
388C22×Dic43—41no—
389C22×Dic43C2411yescharacteristic
390C22×Dic43C2411yescharacteristic
391C22×Dic43C2411yescharacteristic
392C22×Dic43C2411yescharacteristic
393C22×Dic43C2411yescharacteristic
394C22×Dic43C2411yescharacteristic
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C2×D172—22no—
404C2×D172—22no—
405C2×D172—22no—
406C2×C4×D43—22no—
407C2×C4×D43—22no—
408C2×C4×D43—22no—
409C2×C4×D43—22no—
410C2×C4×D43—22no—
411C2×C4×D43—22no—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—41no—
424C2×C4×D43—41no—
425C2×C4×D43—41no—
426C2×C4×D43—41no—
427C2×C4×D43—41no—
428C2×C4×D43—41no—
429C2×C4×D43#4114yes—
430C2×Dic86—22no—
431C2×Dic86—22no—
432C2×Dic86—41no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—22no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
440C4⋊C4×C43—41no—
441C22⋊C4×C43—22no—
442C22⋊C4×C43—22no—
443C22⋊C4×C43—22no—
444C22⋊C4×C43—22no—
445C22⋊C4×C43—22no—
446C22⋊C4×C43—41no—
447C42×C43—22no—
448C42×C43—22no—
449C42×C43—22no—
450C42×C43—41no—
451C22⋊Dic43—22no—
452C22⋊Dic43—22no—
453C22⋊Dic43—41no—
454C22⋊Dic43—41no—
455(C2×D43)⋊C4—22no—
456(C2×D43)⋊C4—22no—
457(C2×D43)⋊C4—22no—
458(C2×D43)⋊C4—22no—
459(C2×D43)⋊C4—22no—
460(C2×D43)⋊C4—22no—
461(C2×D43)⋊C4—22no—
462(C2×D43)⋊C4—22no—
463(C2×D43)⋊C4—22no—
464(C2×D43)⋊C4—22no—
465(C2×D43)⋊C4—22no—
466(C2×D43)⋊C4—22no—
467(C2×D43)⋊C4—41no—
468(C2×D43)⋊C4—41no—
469(C2×D43)⋊C4—41no—
470(C2×D43)⋊C4—41no—
471(C2×D43)⋊C4—41no—
472(C2×D43)⋊C4#4114yes—
473C4⋊Dic43—22no—
474C4⋊Dic43—22no—
475C4⋊Dic43—22no—
476C4⋊Dic43—22no—
477C4⋊Dic43—41no—
478C4⋊Dic43—41no—
479Dic43⋊C4—22no—
480Dic43⋊C4—22no—
481Dic43⋊C4—22no—
482Dic43⋊C4—22no—
483Dic43⋊C4—22no—
484Dic43⋊C4—22no—
485Dic43⋊C4—22no—
486Dic43⋊C4—22no—
487Dic43⋊C4—22no—
488Dic43⋊C4—41no—
489Dic43⋊C4—41no—
490Dic43⋊C4—41no—
491Dic43⋊C4—41no—
492Dic43⋊C4—41no—
493C4×Dic43—22no—
494C4×Dic43—22no—
495C4×Dic43—22no—
496C4×Dic43—22no—
497C4×Dic43—22no—
498C4×Dic43—22no—
499C4×Dic43—22no—
500C4×Dic43—22no—
501C4×Dic43—22no—
502C4×Dic43—22no—
503C4×Dic43—22no—
504C4×Dic43—22no—
505C4×Dic43—22no—
506C4×Dic43—22no—
507C4×Dic43—22no—
508C4×Dic43—22no—
509C4×Dic43—22no—
510C4×Dic43—41no—
511C4×Dic43#4114yes—
512C4×Dic43#4114yes—
513C23×C43—21no—
514C23×C43—21no—
515C23×C43—21no—
516C23×C43—21no—
517C23×C43—21no—
518C23×C43—21no—
519C23×C43C2×#4112yes—
520C23×C43C2511yescharacteristic
521C22×D43—21no—
522C22×D43—21no—
523C22×D43—21no—
524C22×D43—21no—
525C22×D43—21no—
526C22×D43—21no—
527C22×D43—21no—
528C22×D43—21no—
529C22×D43—21no—
530C22×D43—21no—
531C22×D43—21no—
532C22×D43C2×#4112yes—
533C22×D43C2×#4112yes—
534C22×D43C2×#4112yes—
535C2×C4×C43—21no—
536C2×C4×C43—21no—
537C2×C4×C43—21no—
538C2×C4×C43—21no—
539C2×C4×C43—21no—
540C2×C4×C43—21no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43—21no—
544C2×C4×C43—21no—
545C2×C4×C43—21no—
546C2×C4×C43—21no—
547C2×C4×C43—21no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—21no—
551C2×C4×C43—21no—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—44no—
574C2×C4×C43C2×#4112yes—
575C2×C4×C43C2×#4112yes—
576C2×C4×C43C2×#4112yes—
577C2×C4×C43C2×#4112yes—
578C22⋊D43—28no—
579C22⋊D43—44no—
580C2×Dic43—21no—
581C2×Dic43—21no—
582C2×Dic43—21no—
583C2×Dic43—21no—
584C2×Dic43—21no—
585C2×Dic43—21no—
586C2×Dic43—21no—
587C2×Dic43—21no—
588C2×Dic43—21no—
589C2×Dic43—21no—
590C2×Dic43—21no—
591C2×Dic43—21no—
592C2×Dic43—21no—
593C2×Dic43—21no—
594C2×Dic43—21no—
595C2×Dic43—21no—
596C2×Dic43—21no—
597C2×Dic43—21no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—44no—
616C2×Dic43—44no—
617C2×Dic43C2×#4112yes—
618C2×Dic43C2×#4112yes—
619C2×Dic43C2×#4112yes—
620C2×Dic43C2×#4112yes—
621C2×Dic43C2×#4112yes—
622C2×Dic43C2×#4112yes—
623C2×Dic43C2×#4112yes—
624D172—44no—
625C4×D43—28no—
626C4×D43—44no—
627C4×D43—44no—
628C4×D43—44no—
629C4×D43—44no—
630C4×D43—44no—
631C4×D43—44no—
632C4×D43—44no—
633Dic86—44no—
634#34811—431nomaximal, Sylow
635C22×C43—22no—
636C22×C43—22no—
637C22×C43—22no—
638C22×C43—41no—
639C22×C43—41no—
640C22×C43—41no—
641C22×C43—41no—
642C22×C43C22×#4111yescharacteristic
643C22×C43C22×#4111yescharacteristic
644C22×C43C22×#4111yescharacteristic
645C22×C43C22×#4111yescharacteristic
646C22×C43C22×#4111yescharacteristic
647C22×C43#58511yescharacteristic
648C22×C43#58511yescharacteristic
649C2×D43—22no—
650C2×D43—22no—
651C2×D43—22no—
652C2×D43—22no—
653C2×D43—22no—
654C2×D43—22no—
655C2×D43—41no—
656C2×D43—41no—
657C2×D43—41no—
658C2×D43—41no—
659C2×D43—41no—
660C2×D43—41no—
661C2×D43—41no—
662C2×D43#52914yes—
663C4×C43—22no—
664C4×C43—22no—
665C4×C43—22no—
666C4×C43—22no—
667C4×C43—41no—
668C4×C43—41no—
669C4×C43—41no—
670C4×C43—41no—
671C4×C43—41no—
672C4×C43—41no—
673C4×C43—41no—
674C4×C43—41no—
675C4×C43—41no—
676C4×C43—41no—
677Dic43—22no—
678Dic43—22no—
679Dic43—22no—
680Dic43—22no—
681Dic43—41no—
682Dic43—41no—
683Dic43—41no—
684Dic43—41no—
685Dic43—41no—
686Dic43—41no—
687Dic43—41no—
688Dic43—41no—
689Dic43—41no—
690Dic43#52914yes—
691#2533—431no—
692#2532—431no—
693#2531—431no—
694#2530D4311yescharacteristic, complemented
695#2529—431no—
696#2528—431no—
697#2527—431no—
698#2526—431no—
699#2510—431no—
700#2505—431no—
701#2493—431no—
702#2488—431no—
703#2450—431no—
704#2444—431no—
705#2425—431no—
706#2419—431no—
707#2402—431no—
708#2401—431no—
709#2401—431no—
710#2398—431no—
711C4×C22⋊Q8—431no—
712C4×#123—431no—
713C4×#123—431no—
714C4×#121—431no—
715#2298—431no—
716#2295—431no—
717#2290—431no—
718#2290—431no—
719#2283—431no—
720C42×D4—431no—
721C2×#376—431no—
722C2×C43—42no—
723C2×C43C2×#52911yescharacteristic
724C2×C43C2×#52911yescharacteristic
725C2×C43#345511yescharacteristic
726C2×C43#347511yescharacteristic
727C2×C43#347511yescharacteristic
728C2×C43#347511yescharacteristic
729C2×C43#347511yescharacteristic
730D43—24no—
731D43—81no—
732C2×#123—431no—
733C2×#123—431no—
734C2×C22⋊Q8—431no—
735C2×#121—431no—
736C2×C4×Q8—431no—
737C2×C4×D4—431no—
738C2×C4×D4—431no—
739C2×C4×D4—431no—
740C2×C4×D4—431no—
741C2×C4×D4—431no—
742C2×#117—431no—
743C22×C42—431no—
744C22×C42—431no—
745C22×C42—431no—
746C22×C42—431no—
747#401—431no—
748#401—431no—
749#400—431no—
750#400—431no—
751#400—431no—
752#400—431no—
753#400—431no—
754#400—431no—
755#400—431no—
756#400—431no—
757#400—431no—
758#400—431no—
759#400C2×D4311yescharacteristic
760#400C2×D4311yescharacteristic
761#398—431no—
762#398—431no—
763#398—431no—
764#398—431no—
765#397—431no—
766#397—431no—
767#397—431no—
768#397—431no—
769#397—431no—
770#397—431no—
771#397C2×D4311yescharacteristic
772#397C2×D4311yescharacteristic
773#396—431no—
774#396—431no—
775#394—431no—
776#394—431no—
777#393—431no—
778#393—431no—
779#391—431no—
780#391—431no—
781#391—431no—
782#390—431no—
783#389—431no—
784#389—431no—
785#389—431no—
786#389C2×D4311yescharacteristic
787#388—431no—
788#388—431no—
789#388—431no—
790#388—431no—
791#388—431no—
792#388—431no—
793#388—431no—
794#388—431no—
795#388—431no—
796#388—431no—
797#388—431no—
798#388—431no—
799#388C2×D4311yescharacteristic
800#388C2×D4311yescharacteristic
801#387—431no—
802#387—431no—
803#387—431no—
804#387—431no—
805#387—431no—
806#387—431no—
807#387—431no—
808#387—431no—
809#387—431no—
810#387—431no—
811#387—431no—
812#387—431no—
813#387—431no—
814#387—431no—
815#387C2×D4311yescharacteristic
816#387C2×D4311yescharacteristic
817#387C2×D4311yescharacteristic
818#387C2×D4311yescharacteristic
819#386—431no—
820#386—431no—
821#386—431no—
822#386—431no—
823#386—431no—
824#386—431no—
825#386—431no—
826#386—431no—
827#385—431no—
828#385—431no—
829#385—431no—
830#385—431no—
831#385—431no—
832#385—431no—
833#385—431no—
834#385C2×D4311yescharacteristic
835#383—431no—
836#383—431no—
837#382—431no—
838#382—431no—
839#381—431no—
840#381—431no—
841#381—431no—
842#381—431no—
843#380—431no—
844#380—431no—
845#380—431no—
846#380C2×D4311yescharacteristic
847C4×C4⋊C4—431no—
848C4×C4⋊C4—431no—
849C4×C4⋊C4—431no—
850C4×C4⋊C4—431no—
851C4×C4⋊C4—431no—
852C4×C4⋊C4—431no—
853C4×C4⋊C4—431no—
854C4×C4⋊C4—431no—
855C4×C4⋊C4—431no—
856C4×C4⋊C4—431no—
857C4×C4⋊C4—431no—
858C4×C4⋊C4—431no—
859C4×C22⋊C4—431no—
860C4×C22⋊C4—431no—
861C4×C22⋊C4—431no—
862C4×C22⋊C4—431no—
863C4×C22⋊C4—431no—
864C4×C22⋊C4—431no—
865C4×C22⋊C4—431no—
866C4×C22⋊C4—431no—
867C4×C22⋊C4—431no—
868C4×C22⋊C4—431no—
869C4×C22⋊C4—431no—
870C4×C22⋊C4—431no—
871C4×C22⋊C4—431no—
872C4×C22⋊C4C2×D4311yescharacteristic
873#376—431no—
874#376—431no—
875#376—431no—
876#376—431no—
877#376—431no—
878#376—431no—
879#376—431no—
880#376—431no—
881#376C2×D4311yescharacteristic
882C2×#95—431no—
883C2×#95—431no—
884C2×#95—431no—
885C2×#95—431no—
886C43—431no—
887C43#3481111yescharacteristic, complemented, Sylow
888C22×Q8—431no—
889C22×D4—431no—
890C22×D4—431no—
891C22×D4—431no—
892C23×C4—431no—
893C23×C4—431no—
894C23×C4—431no—
895C23×C4—431no—
896C23×C4—431no—
897C23×C4—431no—
898C23×C4—431no—
899C23×C4—431no—
900C23×C4—431no—
901C23×C4—431no—
902C23×C4C22×D4311yescharacteristic
903#123—864no—
904#123—864no—
905C22⋊Q8—864no—
906#121—864no—
907C4×Q8—864no—
908C4×D4—864no—
909C4×D4—864no—
910C4×D4—864no—
911C4×D4—864no—
912C4×D4—864no—
913#117—864no—
914C2×C4⋊C4—431no—
915C2×C4⋊C4—431no—
916C2×C4⋊C4—431no—
917C2×C4⋊C4—431no—
918C2×C4⋊C4—431no—
919C2×C4⋊C4—431no—
920C2×C4⋊C4—431no—
921C2×C4⋊C4—431no—
922C2×C4⋊C4—431no—
923C2×C4⋊C4—431no—
924C2×C4⋊C4—431no—
925C2×C4⋊C4—431no—
926C2×C4⋊C4—431no—
927C2×C4⋊C4—431no—
928C2×C4⋊C4—431no—
929C2×C4⋊C4—431no—
930C2×C4⋊C4—431no—
931C2×C4⋊C4—431no—
932C2×C4⋊C4—431no—
933C2×C4⋊C4—431no—
934C2×C4⋊C4C22×D4311yescharacteristic
935C2×C4⋊C4C22×D4311yescharacteristic
936C2×C4⋊C4C22×D4311yescharacteristic
937C2×C4⋊C4C22×D4311yescharacteristic
938C2×C4⋊C4C22×D4311yescharacteristic
939C2×C4⋊C4C22×D4311yescharacteristic
940C2×C4⋊C4C22×D4311yescharacteristic
941C2×C4⋊C4C22×D4311yescharacteristic
942C2×C22⋊C4—431no—
943C2×C22⋊C4—431no—
944C2×C22⋊C4—431no—
945C2×C22⋊C4—431no—
946C2×C22⋊C4—431no—
947C2×C22⋊C4—431no—
948C2×C22⋊C4—431no—
949C2×C22⋊C4—431no—
950C2×C22⋊C4—431no—
951C2×C22⋊C4—431no—
952C2×C22⋊C4—431no—
953C2×C22⋊C4—431no—
954C2×C22⋊C4—431no—
955C2×C22⋊C4—431no—
956C2×C22⋊C4—431no—
957C2×C22⋊C4—431no—
958C2×C22⋊C4—431no—
959C2×C22⋊C4—431no—
960C2×C22⋊C4—431no—
961C2×C22⋊C4—431no—
962C2×C22⋊C4—431no—
963C2×C22⋊C4—431no—
964C2×C22⋊C4C22×D4311yescharacteristic
965C2×C22⋊C4C22×D4311yescharacteristic
966C2×C22⋊C4C22×D4311yescharacteristic
967C2×C22⋊C4C22×D4311yescharacteristic
968C2×C22⋊C4C22×D4311yescharacteristic
969C2×C22⋊C4C22×D4311yescharacteristic
970C2×C42—431no—
971C2×C42—431no—
972C2×C42—431no—
973C2×C42—431no—
974C2×C42—431no—
975C2×C42—431no—
976C2×C42—431no—
977C2×C42—431no—
978C2×C42—431no—
979C2×C42—431no—
980C2×C42—431no—
981C2×C42—431no—
982C2×C42—431no—
983C2×C42—431no—
984C2×C42—431no—
985C2×C42—431no—
986C2×C42—431no—
987C2×C42—431no—
988C2×C42—431no—
989C2×C42—431no—
990C2×C42—864no—
991C2×C42—864no—
992C2×C42—864no—
993C2×C42—864no—
994C2×C42C22×D4311yescharacteristic
995C2×C42C22×D4311yescharacteristic
996C2×C42C22×D4311yescharacteristic
997C2×C42C22×D4311yescharacteristic
998#95—431no—
999#95—431no—
1000#95—431no—
1001#95—431no—
1002#95—431no—
1003#95—431no—
1004#95—431no—
1005#95—431no—
1006#95—431no—
1007#95—431no—
1008#95—431no—
1009#95—431no—
1010#95—431no—
1011#95—431no—
1012#95—431no—
1013#95—431no—
1014#95—431no—
1015#95—431no—
1016#95—431no—
1017#95—431no—
1018#95—431no—
1019#95—431no—
1020#95—431no—
1021#95—431no—
1022#95—431no—
1023#95—431no—
1024#95—431no—
1025#95—431no—
1026#95—431no—
1027#95—431no—
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95C22×D4311yescharacteristic
1043#95C22×D4311yescharacteristic
1044#95C22×D4311yescharacteristic
1045#95C22×D4311yescharacteristic
1046#95C22×D4311yescharacteristic
1047#95C22×D4311yescharacteristic
1048#95C22×D4311yescharacteristic
1049#95C22×D4311yescharacteristic
1050#95C22×D4311yescharacteristic
1051#95C22×D4311yescharacteristic
1052#95C22×D4311yescharacteristic
1053#95C22×D4311yescharacteristic
1054#95C22×D4311yescharacteristic
1055#95C22×D4311yescharacteristic
1056#95C22×D4311yescharacteristic
1057#95C22×D4311yescharacteristic
1058C24—431no—
1059C24—431no—
1060C24C23×D4311yescharacteristic
1061C2×Q8—862no—
1062C2×Q8—862no—
1063C2×Q8—1721no—
1064C2×D4—434no—
1065C2×D4—862no—
1066C2×D4—862no—
1067C2×D4—862no—
1068C2×D4—862no—
1069C2×D4—862no—
1070C2×D4—862no—
1071C2×D4—862no—
1072C2×D4—1721no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—41no—
1076C22×C4—431no—
1077C22×C4—431no—
1078C22×C4—431no—
1079C22×C4—431no—
1080C22×C4—431no—
1081C22×C4—434no—
1082C22×C4—431no—
1083C22×C4—431no—
1084C22×C4—431no—
1085C22×C4—431no—
1086C22×C4—431no—
1087C22×C4—431no—
1088C22×C4—431no—
1089C22×C4—431no—
1090C22×C4—431no—
1091C22×C4—862no—
1092C22×C4—862no—
1093C22×C4—862no—
1094C22×C4—862no—
1095C22×C4—862no—
1096C22×C4—862no—
1097C22×C4—862no—
1098C22×C4—862no—
1099C22×C4—862no—
1100C22×C4—862no—
1101C22×C4—862no—
1102C22×C4—862no—
1103C22×C4—862no—
1104C22×C4—862no—
1105C22×C4—862no—
1106C22×C4—862no—
1107C22×C4—862no—
1108C22×C4—862no—
1109C22×C4—862no—
1110C22×C4—862no—
1111C22×C4—862no—
1112C22×C4—862no—
1113C22×C4—1721no—
1114C22×C4—1721no—
1115C22×C4—1721no—
1116C22×C4—1721no—
1117C22×C4—1721no—
1118C22×C4—1721no—
1119C22×C4—1721no—
1120C22×C4C23×D4311yescharacteristic
1121C22×C4C23×D4311yescharacteristic
1122C22×C4C23×D4311yescharacteristic
1123C22×C4C23×D4311yescharacteristic
1124C22×C4C23×D4311yescharacteristic
1125C22×C4C23×D4311yescharacteristic
1126C22×C4C23×D4311yescharacteristic
1127C22×C4C23×D4311yescharacteristic
1128C22×C4C23×D4311yescharacteristic
1129C22×C4C23×D4311yescharacteristic
1130C22×C4C23×D4311yescharacteristic
1131C22×C4C23×D4311yescharacteristic
1132C22×C4C23×D4311yescharacteristic
1133C22×C4C23×D4311yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—862no—
1143C4⋊C4—862no—
1144C4⋊C4—862no—
1145C4⋊C4—862no—
1146C4⋊C4—862no—
1147C4⋊C4—862no—
1148C4⋊C4—862no—
1149C4⋊C4—862no—
1150C4⋊C4—862no—
1151C4⋊C4—862no—
1152C4⋊C4—862no—
1153C4⋊C4—862no—
1154C4⋊C4—862no—
1155C4⋊C4—1721no—
1156C4⋊C4—1721no—
1157C4⋊C4—1721no—
1158C4⋊C4—1721no—
1159C4⋊C4—1721no—
1160C4⋊C4—1721no—
1161C4⋊C4—1721no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—41no—
1168C22⋊C4—434no—
1169C22⋊C4—862no—
1170C22⋊C4—862no—
1171C22⋊C4—862no—
1172C22⋊C4—862no—
1173C22⋊C4—862no—
1174C22⋊C4—862no—
1175C22⋊C4—862no—
1176C22⋊C4—862no—
1177C22⋊C4—862no—
1178C22⋊C4—862no—
1179C22⋊C4—862no—
1180C22⋊C4—862no—
1181C22⋊C4—862no—
1182C22⋊C4—862no—
1183C22⋊C4—1721no—
1184C22⋊C4—1721no—
1185C22⋊C4—1721no—
1186C22⋊C4—1721no—
1187C22⋊C4—1721no—
1188C22⋊C4—1721no—
1189C22⋊C4—1721no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—41no—
1194C42—434no—
1195C42—434no—
1196C42—862no—
1197C42—862no—
1198C42—862no—
1199C42—862no—
1200C42—862no—
1201C42—862no—
1202C42—862no—
1203C42—862no—
1204C42—862no—
1205C42—862no—
1206C42—862no—
1207C42—862no—
1208C42—862no—
1209C42—862no—
1210C42—862no—
1211C42—862no—
1212C42—862no—
1213C42—1721no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—432no—
1221C23—432no—
1222C23—432no—
1223C23—861no—
1224C23—861no—
1225C23—861no—
1226C23—861no—
1227C23—861no—
1228C23—861no—
1229C23—861no—
1230C23—861no—
1231C23—861no—
1232C23—861no—
1233C23—861no—
1234C23#41×D4312yes—
1235C23C24×D4311yescharacteristic
1236Q8—1724no—
1237D4—868no—
1238D4—1724no—
1239D4—1724no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—44no—
1279C2×C4—432no—
1280C2×C4—432no—
1281C2×C4—432no—
1282C2×C4—432no—
1283C2×C4—432no—
1284C2×C4—432no—
1285C2×C4—432no—
1286C2×C4—868no—
1287C2×C4—861no—
1288C2×C4—861no—
1289C2×C4—861no—
1290C2×C4—861no—
1291C2×C4—861no—
1292C2×C4—861no—
1293C2×C4—861no—
1294C2×C4—861no—
1295C2×C4—861no—
1296C2×C4—861no—
1297C2×C4—861no—
1298C2×C4—861no—
1299C2×C4—861no—
1300C2×C4—861no—
1301C2×C4—861no—
1302C2×C4—861no—
1303C2×C4—861no—
1304C2×C4—861no—
1305C2×C4—861no—
1306C2×C4—861no—
1307C2×C4—861no—
1308C2×C4—861no—
1309C2×C4—861no—
1310C2×C4—861no—
1311C2×C4—861no—
1312C2×C4—861no—
1313C2×C4—861no—
1314C2×C4—861no—
1315C2×C4—861no—
1316C2×C4—861no—
1317C2×C4—861no—
1318C2×C4—861no—
1319C2×C4—861no—
1320C2×C4—861no—
1321C2×C4—861no—
1322C2×C4—1724no—
1323C2×C4—1724no—
1324C2×C4—1724no—
1325C2×C4—1724no—
1326C2×C4—1724no—
1327C2×C4—1724no—
1328C2×C4—1724no—
1329C2×C4—1724no—
1330C2×C4—1724no—
1331C2×C4#41×D4312yes—
1332C2×C4#41×D4312yes—
1333C2×C4#41×D4312yes—
1334C2×C4#41×D4312yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—434no—
1343C22—862no—
1344C22—862no—
1345C22—862no—
1346C22—862no—
1347C22—862no—
1348C22—862no—
1349C22—1721no—
1350C22—1721no—
1351C22—1721no—
1352C22—1721no—
1353C22—1721no—
1354C22—1721no—
1355C22—1721no—
1356C22C2×#41×D4311yescharacteristic
1357C22C2×#41×D4311yescharacteristic
1358C22C2×#41×D4311yescharacteristic
1359C22C2×#41×D4311yescharacteristic
1360C22C2×#41×D4311yescharacteristic
1361C22#1458373411yescharacteristic
1362C22#1458373611yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—434no—
1378C4—862no—
1379C4—862no—
1380C4—862no—
1381C4—862no—
1382C4—1721no—
1383C4—1721no—
1384C4—1721no—
1385C4—1721no—
1386C4—1721no—
1387C4—1721no—
1388C4—1721no—
1389C4—1721no—
1390C4—1721no—
1391C2—42no—
1392C2—864no—
1393C2—3441no—
1394C2#529×D4311yescharacteristic
1395C2#529×D4311yescharacteristic
1396C2#1914798211yescharacteristic
1397C2#1914814811yescharacteristic
1398C2#1914815011yescharacteristic
1399C2#1914815411yescharacteristic
1400C2#1914816011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2530C2
prime radicalC2×#13063298C22
hypercenter#2530D43
hypocenterC43#34811
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2530

Complements

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

NH ≅ G/Ntype
1. #19139474C2semidirect
2. #19139451C2semidirect
3. #19139442C2semidirect
4. #19139419C2semidirect
5. #19139396C2semidirect
6. #19139387C2semidirect
7. #19139364C2semidirect
8. #19139152C2semidirect
9. #19139099C2semidirect
10. #19138985C2semidirect
11. #19138922C2semidirect
12. #19138424C2semidirect
15. #19138065C2semidirect
16. #19137901C2semidirect
17. #19137894C2semidirect
18. #19137892C2semidirect
19. #19137880C2semidirect
20. #19137125C2semidirect
21. #19137122C2semidirect
22. #19137116C2semidirect
24. #19137087C2semidirect
25. #19137068C2semidirect
26. #19137033C2semidirect
27. #19137031C2semidirect
28. #19136990C2semidirect
29. C4×(C22⋊D43)⋊C4C2semidirect
30. #376×D43C2semidirect
31. C43×#2530C2semidirect
694. #2530D43semidirect
887. C43#34811semidirect

Maximal subgroups

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

subgroupindex
#191394742
#191394512
#191394422
#191394192
#191393962
#191393872
#191393642
#191391522
#191390992
#191389852
#191389222
#191384242
#191383402
#191381432
#191380652
#191379012
#191378942
#191378922
#191378802
#191371252
#191371222
#191371162
#191371072
#191370872
#191370682
#191370332
#191370312
#191369902
C4×(C22⋊D43)⋊C42
#376×D432
C43×#25302
#3481143