Finite Group Databasebeta

← D43×#2526 #25266264

Subgroups — D43×#2526 #25266264

Order 11008.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19139374C211yesmaximal, characteristic, complemented
2#19139373C211yesmaximal, characteristic, complemented
3#19139372C211yesmaximal, characteristic, complemented
4#19139371C211yesmaximal, characteristic, complemented
5#19139370C211yesmaximal, characteristic, complemented
6#19139369C211yesmaximal, characteristic, complemented
7#19139368C211yesmaximal, characteristic, complemented
8#19139367C211yesmaximal, characteristic, complemented
9#19139366C211yesmaximal, characteristic, complemented
10#19139365C211yesmaximal, characteristic, complemented
11#19139364C211yesmaximal, characteristic, complemented
12#19139363C211yesmaximal, characteristic, complemented
13#19139362C211yesmaximal, characteristic, complemented
14#19139361C211yesmaximal, characteristic, complemented
15#19139360C211yesmaximal, characteristic, complemented
16#400×D43C211yesmaximal, characteristic, complemented
17#397×D43C211yesmaximal, characteristic, complemented
18#396×D43C211yesmaximal, characteristic, complemented
19#394×D43C211yesmaximal, characteristic
20#390×D43C211yesmaximal, characteristic
21#389×D43C211yesmaximal, characteristic, complemented
22#388×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic, complemented
24#388×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#387×D43C211yesmaximal, characteristic, complemented
27#386×D43C211yesmaximal, characteristic
28#381×D43C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
30#376×D43C211yesmaximal, characteristic, complemented
31C43×#2526C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×C4⋊C4×D43C2211yescharacteristic
35C2×C4⋊C4×D43C2211yescharacteristic
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40C2×C22⋊C4×D43C2211yescharacteristic
41C2×C22⋊C4×D43C2211yescharacteristic
42C2×C22⋊C4×D43C2211yescharacteristic
43C2×C22⋊C4×D43C2211yescharacteristic
44C2×C22⋊C4×D43C2211yescharacteristic
45C2×C22⋊C4×D43C2211yescharacteristic
46C2×C22⋊C4×D43C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C2×C22⋊C4×D43C2211yescharacteristic
49C2×C22⋊C4×D43C2211yescharacteristic
50C2×C22⋊C4×D43C2211yescharacteristic
51C2×C42×D43C2211yescharacteristic
52C2×C42×D43C2211yescharacteristic
53C2×C42×D43C2211yescharacteristic
54C2×C42×D43C2211yescharacteristic
55#14582841C2211yescharacteristic, complemented
56#14582841C2211yescharacteristic, complemented
57#14582840C2211yescharacteristic, complemented
58#14582840C2211yescharacteristic, complemented
59#14582839C2211yescharacteristic, complemented
60#14582838C2211yescharacteristic, complemented
61#14582837C2211yescharacteristic, complemented
62#14582828C2211yescharacteristic, complemented
63#14582828C2211yescharacteristic, complemented
64#14582827C2211yescharacteristic, complemented
65#14582827C2211yescharacteristic, complemented
66#14582826C2211yescharacteristic, complemented
67#14582825C2211yescharacteristic, complemented
68#14582824C2211yescharacteristic, complemented
69#14582823C2211yescharacteristic, complemented
70#14582822C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582822C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582821C2211yescharacteristic, complemented
76#14582817C2211yescharacteristic
77#14582816C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582814C2211yescharacteristic
81#14582814C2211yescharacteristic
82#14582813C2211yescharacteristic
83#14582802C2211yescharacteristic
84#14582801C2211yescharacteristic
85#14582800C2211yescharacteristic
86#14582799C2211yescharacteristic
87#14582799C2211yescharacteristic
88#14582799C2211yescharacteristic
89#14582799C2211yescharacteristic
90#14582798C2211yescharacteristic, complemented
91#14582797C2211yescharacteristic, complemented
92#14582796C2211yescharacteristic, complemented
93#14582796C2211yescharacteristic, complemented
94#14582795C2211yescharacteristic, complemented
95#14582794C2211yescharacteristic, complemented
96#14582794C2211yescharacteristic, complemented
97#14582793C2211yescharacteristic, complemented
98#14582793C2211yescharacteristic, complemented
99#14582793C2211yescharacteristic, complemented
100#14582793C2211yescharacteristic, complemented
101#14582792C2211yescharacteristic, complemented
102#14582792C2211yescharacteristic, complemented
103#14582792C2211yescharacteristic, complemented
104#14582792C2211yescharacteristic, complemented
105#14582791C2211yescharacteristic, complemented
106#14582791C2211yescharacteristic, complemented
107#14582791C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic, complemented
109#14582790C2211yescharacteristic, complemented
110#14582790C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582789C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582788C2211yescharacteristic, complemented
119#14582788C2211yescharacteristic, complemented
120#14582788C2211yescharacteristic, complemented
121#14582787C2211yescharacteristic, complemented
122#14582787C2211yescharacteristic, complemented
123#14582787C2211yescharacteristic, complemented
124#14582787C2211yescharacteristic, complemented
125#14582786C2211yescharacteristic, complemented
126#14582785C2211yescharacteristic, complemented
127#14582784C2211yescharacteristic, complemented
128#14582783C2211yescharacteristic, complemented
129#14582782C2211yescharacteristic, complemented
130#14582781C2211yescharacteristic, complemented
131#14582780C2211yescharacteristic, complemented
132#14582779C2211yescharacteristic
133#14582778C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582762C2211yescharacteristic, complemented
140#14582761C2211yescharacteristic, complemented
141#14582761C2211yescharacteristic, complemented
142#14582761C2211yescharacteristic, complemented
143#14582761C2211yescharacteristic, complemented
144#14582760C2211yescharacteristic, complemented
145#14582760C2211yescharacteristic, complemented
146C22⋊C4×Dic43C2211yescharacteristic, complemented
147C22⋊C4×Dic43C2211yescharacteristic, complemented
148C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic43C2211yescharacteristic, complemented
151#14582746C2211yescharacteristic, complemented
152#14582746C2211yescharacteristic, complemented
153#14582745C2211yescharacteristic, complemented
154#14582745C2211yescharacteristic, complemented
155#14582745C2211yescharacteristic, complemented
156#14582744C2211yescharacteristic, complemented
157#14582744C2211yescharacteristic, complemented
158#14582744C2211yescharacteristic, complemented
159#14582744C2211yescharacteristic, complemented
160#95×D43C2211yescharacteristic
161#95×D43C2211yescharacteristic
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#400C2211yescharacteristic, complemented
173C43×#397C2211yescharacteristic, complemented
174C43×#396C2211yescharacteristic, complemented
175C43×#394C2211yescharacteristic
176C43×#390C2211yescharacteristic
177C43×#389C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C43×#376C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C2×D4×D43—24no—
193C2×D4×D43—24no—
194C2×D4×D43—42no—
195C23×Dic43C2311yescharacteristic
196C22×C4×D43—24no—
197C22×C4×D43—24no—
198C22×C4×D43—42no—
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
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
232C4⋊C4×D43—24no—
233C4⋊C4×D43—24no—
234C4⋊C4×D43—42no—
235C4⋊C4×D43—42no—
236C4⋊C4×D43—42no—
237C4⋊C4×D43—42no—
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C22⋊C4×D43—24no—
272C22⋊C4×D43—24no—
273C22⋊C4×D43—24no—
274C22⋊C4×D43—24no—
275C22⋊C4×D43—24no—
276C22⋊C4×D43—24no—
277C22⋊C4×D43—42no—
278C22⋊C4×D43—42no—
279C22⋊C4×D43—42no—
280C22⋊C4×D43—42no—
281C22⋊C4×D43—42no—
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C42×D43—24no—
295C42×D43—24no—
296C42×D43—24no—
297C42×D43—42no—
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
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C22×D4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C42×C43C2311yescharacteristic
354C2×C42×C43C2311yescharacteristic
355C2×C42×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C24×C43C2411yescharacteristic
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—22no—
377C23×D43—22no—
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43#4114yes—
385C23×D43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43—41no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—41no—
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C2×C22⋊D43—22no—
408C2×C22⋊D43—22no—
409C2×C22⋊D43—22no—
410C2×C22⋊D43—22no—
411C2×C22⋊D43—41no—
412C2×C22⋊D43—41no—
413C22×Dic43—22no—
414C22×Dic43—22no—
415C22×Dic43—41no—
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429D4×D43—416no—
430C2×D172—22no—
431C2×D172—22no—
432C2×D172—41no—
433C2×C4×D43—22no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43—22no—
441C2×C4×D43—22no—
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—416no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43#4114yes—
476C2×C4×D43#4114yes—
477C2×C4×D43#4114yes—
478C2×C4×D43#4114yes—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—22no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—41no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C42×C43—22no—
497C42×C43—22no—
498C42×C43—22no—
499C42×C43—41no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—22no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—41no—
507C22⋊Dic43—41no—
508C22⋊Dic43—41no—
509C22⋊Dic43—41no—
510C22⋊Dic43—41no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—22no—
516(C2×D43)⋊C4—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533C4⋊Dic43—22no—
534C4⋊Dic43—22no—
535C4⋊Dic43—41no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551C4×Dic43—22no—
552C4×Dic43—22no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—22no—
557C4×Dic43—22no—
558C4×Dic43—22no—
559C4×Dic43—22no—
560C4×Dic43—41no—
561C4×Dic43—41no—
562C4×Dic43—41no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43C2×#4112yes—
577C23×C43C2511yescharacteristic
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—28no—
585C22×D43—28no—
586C22×D43—28no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—21no—
594C22×D43—44no—
595C22×D43—44no—
596C22×D43—44no—
597C22×D43—44no—
598C22×D43—44no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43—44no—
604C22×D43—44no—
605C22×D43C2×#4112yes—
606C22×D43C2×#4112yes—
607C22×D43C2×#4112yes—
608C22×D43C2×#4112yes—
609C22×D43C2×#4112yes—
610C22×D43C2×#4112yes—
611C22×D43H(5,𝔽2)12yes—
612C22×D43H(5,𝔽2)12yes—
613D4×C43—44no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—44no—
650C2×C4×C43C2×#4112yes—
651C2×C4×C43C2×#4112yes—
652C2×C4×C43C2×#4112yes—
653C2×C4×C43C2×#4112yes—
654C22⋊D43—44no—
655C22⋊D43—44no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—44no—
692C2×Dic43C2×#4112yes—
693C2×Dic43C2×#4112yes—
694C2×Dic43C2×#4112yes—
695C2×Dic43C2×#4112yes—
696D172—44no—
697C4×D43—28no—
698C4×D43—28no—
699C4×D43—28no—
700C4×D43—28no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—44no—
704C4×D43—44no—
705C4×D43—44no—
706C4×D43—44no—
707C4×D43—44no—
708C4×D43—44no—
709C4×D43—44no—
710C4×D43—44no—
711C4×D43—44no—
712C2×#2526—431nomaximal, Sylow
713C22×C43—22no—
714C22×C43—22no—
715C22×C43—22no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43—41no—
726C22×C43—41no—
727C22×C43C22×#4111yescharacteristic
728C22×C43C22×#4111yescharacteristic
729C22×C43C22×#4111yescharacteristic
730C22×C43C22×#4111yescharacteristic
731C22×C43C22×#4111yescharacteristic
732C22×C43C2×H(5,𝔽2)11yescharacteristic
733C22×C43C2×H(5,𝔽2)11yescharacteristic
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—22no—
737C2×D43—41no—
738C2×D43—41no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43—416no—
742C2×D43—41no—
743C2×D43—41no—
744C2×D43—41no—
745C2×D43—41no—
746C2×D43—41no—
747C2×D43—41no—
748C2×D43—41no—
749C2×D43—88no—
750C2×D43#52914yes—
751C2×D43#52914yes—
752C2×D43#54014yes—
753C2×D43#55114yes—
754C2×D43#55114yes—
755C2×D43#55314yes—
756C2×D43#55514yes—
757C4×C43—22no—
758C4×C43—22no—
759C4×C43—22no—
760C4×C43—22no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770Dic43—22no—
771Dic43—22no—
772Dic43—22no—
773Dic43—22no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783#2526—431no—
784#2526—431no—
785#2526—431no—
786#2526—431no—
787#2526—431no—
788#2526—431no—
789#2526—431no—
790#2526—431no—
791#2526—431no—
792#2526—431no—
793#2526—431no—
794#2526—431no—
795#2526—431no—
796#2526—431no—
797#2526—431no—
798#2526D4311yescharacteristic, direct product factor
799C2×#400—431no—
800C2×#397—431no—
801C2×#396—431no—
802C2×#394—431no—
803C2×#390—431no—
804C2×#389—431no—
805C2×#388—431no—
806C2×#388—431no—
807C2×#388—431no—
808C2×#388—431no—
809C2×#387—431no—
810C2×#386—431no—
811C2×#381—431no—
812C2×C4×C22⋊C4—431no—
813C2×#376—431no—
814C2×C43—42no—
815C2×C43—81no—
816C2×C43C2×#52911yescharacteristic
817C2×C43C2×#52911yescharacteristic
818C2×C43C2×#54011yescharacteristic
819C2×C43C2×#55111yescharacteristic
820C2×C43C2×#55111yescharacteristic
821C2×C43C2×#55311yescharacteristic
822C2×C43C2×#55511yescharacteristic
823D43—42no—
824D43—81no—
825D43#252618yesdirect product factor
826C23×D4—431no—
827C24×C4—431no—
828C22×C4⋊C4—431no—
829C22×C4⋊C4—431no—
830C22×C4⋊C4—431no—
831C22×C4⋊C4—431no—
832C22×C4⋊C4—431no—
833C22×C4⋊C4—431no—
834C22×C22⋊C4—431no—
835C22×C22⋊C4—431no—
836C22×C22⋊C4—431no—
837C22×C22⋊C4—431no—
838C22×C22⋊C4—431no—
839C22×C22⋊C4—431no—
840C22×C22⋊C4—431no—
841C22×C22⋊C4—431no—
842C22×C22⋊C4—431no—
843C22×C22⋊C4—431no—
844C22×C22⋊C4—431no—
845C22×C42—431no—
846C22×C42—431no—
847C22×C42—431no—
848C22×C42—431no—
849#400—431no—
850#400—431no—
851#400—431no—
852#400—431no—
853#400—431no—
854#400—431no—
855#400—431no—
856#400C2×D4311yescharacteristic, complemented
857#397—431no—
858#397—431no—
859#397—431no—
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397C2×D4311yescharacteristic, complemented
865#396—431no—
866#396—431no—
867#396—431no—
868#396—431no—
869#396—431no—
870#396—431no—
871#396—431no—
872#396C2×D4311yescharacteristic, complemented
873#394—431no—
874#394—431no—
875#394—431no—
876#394—431no—
877#394—431no—
878#394—431no—
879#394—431no—
880#394C2×D4311yescharacteristic
881#390—431no—
882#390—431no—
883#390—431no—
884#390—431no—
885#390—431no—
886#390—431no—
887#390—431no—
888#390C2×D4311yescharacteristic
889#389—431no—
890#389—431no—
891#389—431no—
892#389—431no—
893#389—431no—
894#389—431no—
895#389—431no—
896#389C2×D4311yescharacteristic, complemented
897#388—431no—
898#388—431no—
899#388—431no—
900#388—431no—
901#388—431no—
902#388—431no—
903#388—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#388—431no—
908#388—431no—
909#388—431no—
910#388—431no—
911#388—431no—
912#388—431no—
913#388—431no—
914#388—431no—
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388C2×D4311yescharacteristic, complemented
926#388C2×D4311yescharacteristic, complemented
927#388C2×D4311yescharacteristic, complemented
928#388C2×D4311yescharacteristic, complemented
929#387—431no—
930#387—431no—
931#387—431no—
932#387—431no—
933#387—431no—
934#387—431no—
935#387—431no—
936#387C2×D4311yescharacteristic, complemented
937#386—431no—
938#386—431no—
939#386—431no—
940#386—431no—
941#386—431no—
942#386—431no—
943#386—431no—
944#386C2×D4311yescharacteristic
945#381—431no—
946#381—431no—
947#381—431no—
948#381—431no—
949#381—431no—
950#381—431no—
951#381—431no—
952#381C2×D4311yescharacteristic, complemented
953C4×C22⋊C4—431no—
954C4×C22⋊C4—431no—
955C4×C22⋊C4—431no—
956C4×C22⋊C4—431no—
957C4×C22⋊C4—431no—
958C4×C22⋊C4—431no—
959C4×C22⋊C4—431no—
960C4×C22⋊C4C2×D4311yescharacteristic, complemented
961#376—431no—
962#376—431no—
963#376—431no—
964#376—431no—
965#376—431no—
966#376—431no—
967#376—431no—
968#376C2×D4311yescharacteristic, complemented
969C2×#95—431no—
970C2×#95—431no—
971C2×#95—431no—
972C2×#95—431no—
973C2×#95—431no—
974C2×#95—431no—
975C2×#95—431no—
976C2×#95—431no—
977C2×#95—431no—
978C2×#95—431no—
979C2×#95—431no—
980C2×#95—431no—
981C43C2×#252611yescharacteristic, complemented, Sylow
982C25—431no—
983C25—431no—
984C22×D4—431no—
985C22×D4—431no—
986C22×D4—431no—
987C22×D4—864no—
988C22×D4—864no—
989C22×D4—1722no—
990C22×D4C22×D4311yescharacteristic
991C23×C4—431no—
992C23×C4—431no—
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—431no—
997C23×C4—431no—
998C23×C4—431no—
999C23×C4—431no—
1000C23×C4—431no—
1001C23×C4—431no—
1002C23×C4—431no—
1003C23×C4—431no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—864no—
1008C23×C4—864no—
1009C23×C4—1722no—
1010C23×C4C22×D4311yescharacteristic
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—864no—
1030C2×C4⋊C4—864no—
1031C2×C4⋊C4—1722no—
1032C2×C4⋊C4—1722no—
1033C2×C4⋊C4—1722no—
1034C2×C4⋊C4—1722no—
1035C2×C4⋊C4C22×D4311yescharacteristic
1036C2×C4⋊C4C22×D4311yescharacteristic
1037C2×C4⋊C4C22×D4311yescharacteristic
1038C2×C4⋊C4C22×D4311yescharacteristic
1039C2×C4⋊C4C22×D4311yescharacteristic
1040C2×C4⋊C4C22×D4311yescharacteristic
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—864no—
1075C2×C22⋊C4—864no—
1076C2×C22⋊C4—864no—
1077C2×C22⋊C4—864no—
1078C2×C22⋊C4—864no—
1079C2×C22⋊C4—864no—
1080C2×C22⋊C4—1722no—
1081C2×C22⋊C4—1722no—
1082C2×C22⋊C4—1722no—
1083C2×C22⋊C4—1722no—
1084C2×C22⋊C4—1722no—
1085C2×C22⋊C4C22×D4311yescharacteristic
1086C2×C22⋊C4C22×D4311yescharacteristic
1087C2×C22⋊C4C22×D4311yescharacteristic
1088C2×C22⋊C4C22×D4311yescharacteristic
1089C2×C22⋊C4C22×D4311yescharacteristic
1090C2×C22⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4C22×D4311yescharacteristic
1092C2×C22⋊C4C22×D4311yescharacteristic
1093C2×C22⋊C4C22×D4311yescharacteristic
1094C2×C22⋊C4C22×D4311yescharacteristic
1095C2×C22⋊C4C22×D4311yescharacteristic
1096C2×C42—431no—
1097C2×C42—431no—
1098C2×C42—431no—
1099C2×C42—431no—
1100C2×C42—431no—
1101C2×C42—431no—
1102C2×C42—431no—
1103C2×C42—431no—
1104C2×C42—431no—
1105C2×C42—431no—
1106C2×C42—431no—
1107C2×C42—431no—
1108C2×C42—864no—
1109C2×C42—864no—
1110C2×C42—864no—
1111C2×C42—1722no—
1112C2×C42C22×D4311yescharacteristic
1113C2×C42C22×D4311yescharacteristic
1114C2×C42C22×D4311yescharacteristic
1115C2×C42C22×D4311yescharacteristic
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156#95C22×D4311yescharacteristic
1157#95C22×D4311yescharacteristic
1158#95C22×D4311yescharacteristic
1159#95C22×D4311yescharacteristic
1160#95C22×D4311yescharacteristic
1161#95C22×D4311yescharacteristic
1162#95C22×D4311yescharacteristic
1163#95C22×D4311yescharacteristic
1164C24—431no—
1165C24—434no—
1166C24—431no—
1167C24—431no—
1168C24—862no—
1169C24—862no—
1170C24—862no—
1171C24—862no—
1172C24—862no—
1173C24—862no—
1174C24—862no—
1175C24—862no—
1176C24—862no—
1177C24—862no—
1178C24—862no—
1179C24—862no—
1180C24—862no—
1181C24C23×D4311yescharacteristic
1182C24C23×D4311yescharacteristic
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—862no—
1187C2×D4—862no—
1188C2×D4—862no—
1189C2×D4—862no—
1190C2×D4—862no—
1191C2×D4—862no—
1192C2×D4—1721no—
1193C2×D4—17216no—
1194C2×D4—1721no—
1195C2×D4—1721no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—431no—
1200C22×C4—431no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—434no—
1204C22×C4—434no—
1205C22×C4—434no—
1206C22×C4—434no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—431no—
1210C22×C4—431no—
1211C22×C4—431no—
1212C22×C4—431no—
1213C22×C4—431no—
1214C22×C4—431no—
1215C22×C4—431no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—862no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—862no—
1238C22×C4—862no—
1239C22×C4—862no—
1240C22×C4—862no—
1241C22×C4—862no—
1242C22×C4—862no—
1243C22×C4—862no—
1244C22×C4—862no—
1245C22×C4—862no—
1246C22×C4—862no—
1247C22×C4—862no—
1248C22×C4—862no—
1249C22×C4—862no—
1250C22×C4—862no—
1251C22×C4—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—1721no—
1258C22×C4—1721no—
1259C22×C4—17216no—
1260C22×C4—1721no—
1261C22×C4C23×D4311yescharacteristic
1262C22×C4C23×D4311yescharacteristic
1263C22×C4C23×D4311yescharacteristic
1264C22×C4C23×D4311yescharacteristic
1265C22×C4C23×D4311yescharacteristic
1266C22×C4C23×D4311yescharacteristic
1267C22×C4C23×D4311yescharacteristic
1268C22×C4C23×D4311yescharacteristic
1269C22×C4C23×D4311yescharacteristic
1270C22×C4C23×D4311yescharacteristic
1271C22×C4C23×D4311yescharacteristic
1272C22×C4C23×D4311yescharacteristic
1273C22×C4C23×D4311yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—862no—
1281C4⋊C4—862no—
1282C4⋊C4—862no—
1283C4⋊C4—862no—
1284C4⋊C4—862no—
1285C4⋊C4—862no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C4⋊C4—1721no—
1293C4⋊C4—1721no—
1294C4⋊C4—1721no—
1295C4⋊C4—1721no—
1296C4⋊C4—1721no—
1297C4⋊C4—1721no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—862no—
1316C22⋊C4—862no—
1317C22⋊C4—862no—
1318C22⋊C4—862no—
1319C22⋊C4—862no—
1320C22⋊C4—862no—
1321C22⋊C4—862no—
1322C22⋊C4—862no—
1323C22⋊C4—862no—
1324C22⋊C4—862no—
1325C22⋊C4—862no—
1326C22⋊C4—862no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
1341C22⋊C4—1721no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—41no—
1346C42—862no—
1347C42—862no—
1348C42—862no—
1349C42—862no—
1350C42—862no—
1351C42—862no—
1352C42—862no—
1353C42—862no—
1354C42—862no—
1355C42—1721no—
1356C42—1721no—
1357C42—1721no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—432no—
1372C23—432no—
1373C23—432no—
1374C23—432no—
1375C23—432no—
1376C23—432no—
1377C23—432no—
1378C23—432no—
1379C23—868no—
1380C23—868no—
1381C23—868no—
1382C23—861no—
1383C23—861no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—861no—
1388C23—861no—
1389C23—861no—
1390C23—861no—
1391C23—861no—
1392C23—861no—
1393C23—861no—
1394C23—861no—
1395C23—1724no—
1396C23—1724no—
1397C23—1724no—
1398C23—1724no—
1399C23—1724no—
1400C23—1724no—
1401C23—1724no—
1402C23—1724no—
1403C23—1724no—
1404C23—1724no—
1405C23—1724no—
1406C23#41×D4312yes—
1407C23C24×D4311yescharacteristic
1408D4—44no—
1409D4—1724no—
1410D4—1724no—
1411D4—1724no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—432no—
1449C2×C4—432no—
1450C2×C4—432no—
1451C2×C4—432no—
1452C2×C4—868no—
1453C2×C4—868no—
1454C2×C4—868no—
1455C2×C4—868no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—1724no—
1492C2×C4—1724no—
1493C2×C4—1724no—
1494C2×C4—1724no—
1495C2×C4—1724no—
1496C2×C4—1724no—
1497C2×C4—1724no—
1498C2×C4—1724no—
1499C2×C4—1724no—
1500C2×C4—1724no—
1501C2×C4—1724no—
1502C2×C4—1724no—
1503C2×C4#41×D4312yes—
1504C2×C4#41×D4312yes—
1505C2×C4#41×D4312yes—
1506C2×C4#41×D4312yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—434no—
1522C22—434no—
1523C22—434no—
1524C22—434no—
1525C22—434no—
1526C22—434no—
1527C22—434no—
1528C22—862no—
1529C22—862no—
1530C22—862no—
1531C22—3448no—
1532C22—17216no—
1533C22—1721no—
1534C22—1721no—
1535C22—1721no—
1536C22—1721no—
1537C22—1721no—
1538C22—1721no—
1539C22—1721no—
1540C22—1721no—
1541C22—1721no—
1542C22—1721no—
1543C22—1721no—
1544C22C2×#41×D4311yescharacteristic
1545C22C2×#41×D4311yescharacteristic
1546C22C2×#41×D4311yescharacteristic
1547C22C2×#41×D4311yescharacteristic
1548C22C2×#41×D4311yescharacteristic
1549C22H(5,𝔽2)×D4311yescharacteristic
1550C22H(5,𝔽2)×D4311yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—862no—
1565C4—862no—
1566C4—862no—
1567C4—862no—
1568C4—1721no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C4—1721no—
1577C2—42no—
1578C2—81no—
1579C2—438no—
1580C2—3441no—
1581C2—1722no—
1582C2#529×D4311yescharacteristic
1583C2#529×D4311yescharacteristic
1584C2#540×D4311yescharacteristic
1585C2#551×D4311yescharacteristic
1586C2#551×D4311yescharacteristic
1587C2#553×D4311yescharacteristic
1588C2#555×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2526C2
prime radicalC22×D4×D43C22
hypercenter#2526D43
hypocenterC43C2×#2526
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2526

Complements

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

NH ≅ G/Ntype
1. #19139374C2semidirect
2. #19139373C2semidirect
3. #19139372C2semidirect
4. #19139371C2semidirect
5. #19139370C2semidirect
6. #19139369C2semidirect
7. #19139368C2semidirect
8. #19139367C2semidirect
9. #19139366C2semidirect
10. #19139365C2semidirect
11. #19139364C2semidirect
12. #19139363C2semidirect
13. #19139362C2semidirect
14. #19139361C2semidirect
15. #19139360C2semidirect
16. #400×D43C2semidirect
17. #397×D43C2semidirect
18. #396×D43C2semidirect
21. #389×D43C2semidirect
22. #388×D43C2semidirect
23. #388×D43C2semidirect
24. #388×D43C2semidirect
25. #388×D43C2semidirect
26. #387×D43C2semidirect
28. #381×D43C2semidirect
29. C4×C22⋊C4×D43C2semidirect
30. #376×D43C2semidirect
31. C43×#2526C2semidirect
55. #14582841C22semidirect
56. #14582841C22semidirect
57. #14582840C22semidirect
58. #14582840C22semidirect
59. #14582839C22semidirect
60. #14582838C22semidirect
61. #14582837C22semidirect
62. #14582828C22semidirect
63. #14582828C22semidirect
64. #14582827C22semidirect
65. #14582827C22semidirect
66. #14582826C22semidirect
67. #14582825C22semidirect
68. #14582824C22semidirect
69. #14582823C22semidirect
70. #14582822C22semidirect
71. #14582822C22semidirect
72. #14582822C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
75. #14582821C22semidirect
90. #14582798C22semidirect
91. #14582797C22semidirect
92. #14582796C22semidirect
93. #14582796C22semidirect
94. #14582795C22semidirect
95. #14582794C22semidirect
96. #14582794C22semidirect
97. #14582793C22semidirect
98. #14582793C22semidirect
99. #14582793C22semidirect
100. #14582793C22semidirect
101. #14582792C22semidirect
102. #14582792C22semidirect
103. #14582792C22semidirect
104. #14582792C22semidirect
105. #14582791C22semidirect
106. #14582791C22semidirect
107. #14582791C22semidirect
108. #14582791C22semidirect
109. #14582790C22semidirect
110. #14582790C22semidirect
111. #14582790C22semidirect
112. #14582790C22semidirect
113. #14582789C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
116. #14582789C22semidirect
117. #14582788C22semidirect
118. #14582788C22semidirect
119. #14582788C22semidirect
120. #14582788C22semidirect
121. #14582787C22semidirect
122. #14582787C22semidirect
123. #14582787C22semidirect
124. #14582787C22semidirect
125. #14582786C22semidirect
126. #14582785C22semidirect
127. #14582784C22semidirect
128. #14582783C22semidirect
129. #14582782C22semidirect
130. #14582781C22semidirect
131. #14582780C22semidirect
139. #14582762C22semidirect
140. #14582761C22semidirect
141. #14582761C22semidirect
142. #14582761C22semidirect
143. #14582761C22semidirect
144. #14582760C22semidirect
145. #14582760C22semidirect
146. C22⋊C4×Dic43C22semidirect
147. C22⋊C4×Dic43C22semidirect
148. C4×(C2×D43)⋊C4C22semidirect
149. C4×(C2×D43)⋊C4C22semidirect
150. C4×C22⋊Dic43C22semidirect
151. #14582746C22semidirect
152. #14582746C22semidirect
153. #14582745C22semidirect
154. #14582745C22semidirect
155. #14582745C22semidirect
156. #14582744C22semidirect
157. #14582744C22semidirect
158. #14582744C22semidirect
159. #14582744C22semidirect
172. C43×#400C22semidirect
173. C43×#397C22semidirect
174. C43×#396C22semidirect
177. C43×#389C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#387C22semidirect
184. C43×#381C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C43×#376C22semidirect
798. #2526D43direct (N × H)
825. D43#2526direct (N × H)
856. #400C2×D43semidirect
864. #397C2×D43semidirect
872. #396C2×D43semidirect
896. #389C2×D43semidirect
925. #388C2×D43semidirect
926. #388C2×D43semidirect
927. #388C2×D43semidirect
928. #388C2×D43semidirect
936. #387C2×D43semidirect
952. #381C2×D43semidirect
960. C4×C22⋊C4C2×D43semidirect
968. #376C2×D43semidirect
981. C43C2×#2526semidirect

Maximal subgroups

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

subgroupindex
#191393742
#191393732
#191393722
#191393712
#191393702
#191393692
#191393682
#191393672
#191393662
#191393652
#191393642
#191393632
#191393622
#191393612
#191393602
#400×D432
#397×D432
#396×D432
#394×D432
#390×D432
#389×D432
#388×D432
#387×D432
#386×D432
#381×D432
C4×C22⋊C4×D432
#376×D432
C43×#25262
C2×#252643