Finite Group Databasebeta

← D43×#2335 #25255483

Subgroups — D43×#2335 #25255483

Order 11008.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D43C211yesmaximal, characteristic
2#19137392C211yesmaximal, characteristic, complemented
3#19137391C211yesmaximal, characteristic, complemented
4#19137390C211yesmaximal, characteristic, complemented
5#19137389C211yesmaximal, characteristic, complemented
6#19137388C211yesmaximal, characteristic, complemented
7#19137387C211yesmaximal, characteristic, complemented
8#19137386C211yesmaximal, characteristic, complemented
9#19137385C211yesmaximal, characteristic, complemented
10#19137384C211yesmaximal, characteristic, complemented
11#19137383C211yesmaximal, characteristic, complemented
12#19137382C211yesmaximal, characteristic, complemented
13#19137381C211yesmaximal, characteristic, complemented
14#19137380C211yesmaximal, characteristic, complemented
15#19137379C211yesmaximal, characteristic, complemented
16#19137378C211yesmaximal, characteristic, complemented
17#390×D43C211yesmaximal, characteristic
18#389×D43C211yesmaximal, characteristic, complemented
19#388×D43C211yesmaximal, characteristic, complemented
20#388×D43C211yesmaximal, characteristic, complemented
21#388×D43C211yesmaximal, characteristic, complemented
22#388×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#387×D43C211yesmaximal, characteristic, complemented
25#386×D43C211yesmaximal, characteristic
26#385×D43C211yesmaximal, characteristic, complemented
27#380×D43C211yesmaximal, characteristic, complemented
28C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063308C2211yescharacteristic
39C2×#13063307C2211yescharacteristic
40C2×#13063307C2211yescharacteristic
41C2×#13063306C2211yescharacteristic
42#123×D43C4116yescomplemented
43C2×C4⋊C4×D43C2211yescharacteristic
44C2×C4⋊C4×D43C2211yescharacteristic
45C2×C4⋊C4×D43C2211yescharacteristic
46C2×C4⋊C4×D43C2211yescharacteristic
47C2×C4⋊C4×D43C2211yescharacteristic
48C2×C4⋊C4×D43C2211yescharacteristic
49C2×C4⋊C4×D43C2211yescharacteristic
50C2×C22⋊C4×D43C2211yescharacteristic
51C2×C22⋊C4×D43C2211yescharacteristic
52C2×C22⋊C4×D43C2211yescharacteristic
53C2×C22⋊C4×D43C2211yescharacteristic
54C2×C22⋊C4×D43C2211yescharacteristic
55C2×C22⋊C4×D43C2211yescharacteristic
56C2×C22⋊C4×D43C2211yescharacteristic
57C2×C22⋊C4×D43C2211yescharacteristic
58C2×C22⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C42×D43C2211yescharacteristic
61C2×C42×D43C2211yescharacteristic
62C2×C42×D43C2211yescharacteristic
63C2×C42×D43C2211yescharacteristic
64C2×C42×D43C2211yescharacteristic
65#14582802C2211yescharacteristic
66#14582801C2211yescharacteristic
67#14582800C2211yescharacteristic
68#14582799C2211yescharacteristic
69#14582799C2211yescharacteristic
70#14582799C2211yescharacteristic
71#14582799C2211yescharacteristic
72#14582798C2211yescharacteristic, complemented
73#14582797C2211yescharacteristic, complemented
74#14582796C2211yescharacteristic, complemented
75#14582796C2211yescharacteristic, complemented
76#14582795C2211yescharacteristic, complemented
77#14582794C2211yescharacteristic, complemented
78#14582794C2211yescharacteristic, complemented
79#14582793C2211yescharacteristic, complemented
80#14582793C2211yescharacteristic, complemented
81#14582793C2211yescharacteristic, complemented
82#14582793C2211yescharacteristic, complemented
83#14582792C2211yescharacteristic, complemented
84#14582792C2211yescharacteristic, complemented
85#14582792C2211yescharacteristic, complemented
86#14582792C2211yescharacteristic, complemented
87#14582791C2211yescharacteristic, complemented
88#14582791C2211yescharacteristic, complemented
89#14582791C2211yescharacteristic, complemented
90#14582791C2211yescharacteristic, complemented
91#14582790C2211yescharacteristic, complemented
92#14582790C2211yescharacteristic, complemented
93#14582790C2211yescharacteristic, complemented
94#14582790C2211yescharacteristic, complemented
95#14582789C2211yescharacteristic, complemented
96#14582789C2211yescharacteristic, complemented
97#14582789C2211yescharacteristic, complemented
98#14582789C2211yescharacteristic, complemented
99#14582788C2211yescharacteristic, complemented
100#14582788C2211yescharacteristic, complemented
101#14582788C2211yescharacteristic, complemented
102#14582788C2211yescharacteristic, complemented
103#14582787C2211yescharacteristic, complemented
104#14582787C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582787C2211yescharacteristic, complemented
107#14582786C2211yescharacteristic, complemented
108#14582786C2211yescharacteristic, complemented
109#14582785C2211yescharacteristic, complemented
110#14582785C2211yescharacteristic, complemented
111#14582784C2211yescharacteristic, complemented
112#14582784C2211yescharacteristic, complemented
113#14582783C2211yescharacteristic, complemented
114#14582783C2211yescharacteristic, complemented
115#14582782C2211yescharacteristic, complemented
116#14582782C2211yescharacteristic, complemented
117#14582781C2211yescharacteristic, complemented
118#14582781C2211yescharacteristic, complemented
119#14582780C2211yescharacteristic, complemented
120#14582780C2211yescharacteristic, complemented
121#14582779C2211yescharacteristic
122#14582778C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582777C2211yescharacteristic
125#14582776C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582774C2211yescharacteristic, complemented
129#14582773C2211yescharacteristic, complemented
130#14582773C2211yescharacteristic, complemented
131#14582772C2211yescharacteristic, complemented
132#14582771C2211yescharacteristic, complemented
133#14582770C2211yescharacteristic, complemented
134#14582770C2211yescharacteristic, complemented
135#14582759C2211yescharacteristic, complemented
136#14582758C2211yescharacteristic, complemented
137#14582758C2211yescharacteristic, complemented
138#14582757C2211yescharacteristic, complemented
139#14582757C2211yescharacteristic, complemented
140#14582756C2211yescharacteristic, complemented
141#14582756C2211yescharacteristic, complemented
142C4⋊C4×Dic43C2211yescharacteristic, complemented
143C4⋊C4×Dic43C2211yescharacteristic, complemented
144C4×Dic43⋊C4C2211yescharacteristic, complemented
145C4×Dic43⋊C4C2211yescharacteristic, complemented
146C4×C4⋊Dic43C2211yescharacteristic, complemented
147#14582750C2211yescharacteristic, complemented
148#14582750C2211yescharacteristic, complemented
149C22⋊C4×Dic43C2211yescharacteristic, complemented
150C22⋊C4×Dic43C2211yescharacteristic, complemented
151C22⋊C4×Dic43C2211yescharacteristic, complemented
152C22⋊C4×Dic43C2211yescharacteristic, complemented
153C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
157C4×C22⋊Dic43C2211yescharacteristic, complemented
158C4×C22⋊Dic43C2211yescharacteristic, complemented
159#14582746C2211yescharacteristic, complemented
160#14582746C2211yescharacteristic, complemented
161#14582746C2211yescharacteristic, complemented
162#14582746C2211yescharacteristic, complemented
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
172#95×D43C2211yescharacteristic
173C2×#123×C43C2211yescharacteristic
174C43×#390C2211yescharacteristic
175C43×#389C2211yescharacteristic, complemented
176C43×#388C2211yescharacteristic, complemented
177C43×#388C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#385C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C24×D43C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C2×D4×D43—42no—
194C2×D4×D43—42no—
195C2×D4×D43C2×C418yes—
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C22×C4×D43—24no—
199C22×C4×D43—42no—
200C22×C4×D43—42no—
201C22×C4×D43—42no—
202C22×C4×D43—42no—
203C22×C4×D43C2×C418yescomplemented
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
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221#13063310C2×C418yescomplemented
222#13063310C2×C418yescomplemented
223#13063309C2×C418yescomplemented
224#13063308C2×C418yescomplemented
225#13063307C2×C418yescomplemented
226#13063307C2×C418yescomplemented
227#13063306C2×C418yescomplemented
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C4⋊C4×D43—24no—
250C4⋊C4×D43—42no—
251C4⋊C4×D43—42no—
252C4⋊C4×D43—42no—
253C4⋊C4×D43—42no—
254C4⋊C4×D43C2×C418yescomplemented
255C4⋊C4×D43C2×C418yescomplemented
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C22⋊C4×D43—24no—
287C22⋊C4×D43—24no—
288C22⋊C4×D43—24no—
289C22⋊C4×D43—42no—
290C22⋊C4×D43—42no—
291C22⋊C4×D43—42no—
292C22⋊C4×D43—42no—
293C22⋊C4×D43C2×C418yes—
294C22⋊C4×D43C2×C418yes—
295C22⋊C4×D43C2×C418yescomplemented
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C42×D43—24no—
312C42×D43—42no—
313C42×D43—42no—
314C42×D43—42no—
315C42×D43—42no—
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
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349#123×C43C2×C418yescomplemented
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C42×C43C2311yescharacteristic
368C2×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382C24×C43C2411yescharacteristic
383C24×C43C2411yescharacteristic
384C23×D43—22no—
385C23×D43—22no—
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43C22×C414yes—
397C23×D43C22×C414yes—
398C23×D43C2411yescharacteristic
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43C22×C414yes—
404C22×C4×C43—22no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43C22×C414yescomplemented
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43C22×C414yes—
428C2×C22⋊D43C22×C414yes—
429C22×Dic43—22no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43—41no—
433C22×Dic43—41no—
434C22×Dic43C22×C414yescomplemented
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448D4×D43—416no—
449C2×D172—41no—
450C2×D172—41no—
451C2×D172C22×C414yes—
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—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—416no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43—416no—
496C2×C4×D43C22×C414yes—
497C2×C4×D43C22×C414yes—
498C2×C4×D43C22×C414yes—
499C2×C4×D43C22×C414yes—
500C2×C4×D43C22×C414yes—
501C2×C4×D43C22×C414yescomplemented
502C2×C4×D43C22×C414yescomplemented
503C2×C4×D43#4114yes—
504C2×C4×D43#4114yes—
505C4⋊C4×C43—22no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43C22×C414yescomplemented
511C4⋊C4×C43C22×C414yescomplemented
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43C22×C414yes—
520C22⋊C4×C43C22×C414yes—
521C22⋊C4×C43C22×C414yescomplemented
522C42×C43—22no—
523C42×C43—41no—
524C42×C43—41no—
525C42×C43—41no—
526C42×C43—41no—
527C22⋊Dic43—22no—
528C22⋊Dic43—22no—
529C22⋊Dic43—22no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43C22×C414yes—
535C22⋊Dic43C22×C414yes—
536C22⋊Dic43C22×C414yescomplemented
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4C22×C414yes—
552(C2×D43)⋊C4C22×C414yes—
553(C2×D43)⋊C4C22×C414yes—
554(C2×D43)⋊C4C22×C414yes—
555(C2×D43)⋊C4C22×C414yescomplemented
556(C2×D43)⋊C4C22×C414yescomplemented
557C4⋊Dic43—22no—
558C4⋊Dic43—41no—
559C4⋊Dic43—41no—
560C4⋊Dic43—41no—
561C4⋊Dic43—41no—
562C4⋊Dic43C22×C414yescomplemented
563C4⋊Dic43C22×C414yescomplemented
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574Dic43⋊C4C22×C414yescomplemented
575Dic43⋊C4C22×C414yescomplemented
576Dic43⋊C4C22×C414yescomplemented
577Dic43⋊C4C22×C414yescomplemented
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—41no—
582C4×Dic43—41no—
583C4×Dic43—41no—
584C4×Dic43—41no—
585C4×Dic43—41no—
586C4×Dic43—41no—
587C4×Dic43—41no—
588C4×Dic43—41no—
589C4×Dic43—41no—
590C4×Dic43—41no—
591C4×Dic43—41no—
592C4×Dic43—41no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43C23×C412yes—
606C23×C43C23×C412yes—
607C23×C43C2511yescharacteristic
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—28no—
621C22×D43—28no—
622C22×D43—28no—
623C22×D43—28no—
624C22×D43—28no—
625C22×D43—28no—
626C22×D43—44no—
627C22×D43—44no—
628C22×D43—44no—
629C22×D43—44no—
630C22×D43—44no—
631C22×D43—44no—
632C22×D43—44no—
633C22×D43—44no—
634C22×D43C23×C412yes—
635C22×D43C23×C412yes—
636C22×D43C23×C412yes—
637C22×D43C2×#4112yes—
638C22×D43C2×#4112yes—
639C22×D43H(5,𝔽2)12yes—
640C22×D43H(5,𝔽2)12yes—
641C22×D43H(5,𝔽2)12yes—
642C22×D432−1+412yes—
643D4×C43—44no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—44no—
677C2×C4×C43—44no—
678C2×C4×C43C23×C412yes—
679C2×C4×C43C23×C412yes—
680C2×C4×C43C23×C412yes—
681C2×C4×C43C23×C412yes—
682C2×C4×C43C23×C412yes—
683C2×C4×C43C2×#4112yes—
684C2×C4×C43C2×#4112yes—
685C22⋊D43—44no—
686C22⋊D43—44no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—44no—
720C2×Dic43—44no—
721C2×Dic43C23×C412yes—
722C2×Dic43C23×C412yes—
723C2×Dic43C23×C412yes—
724C2×Dic43C23×C412yes—
725C2×Dic43C23×C412yes—
726C2×Dic43C2×#4112yes—
727C2×Dic43C2×#4112yes—
728D172—44no—
729C4×D43—28no—
730C4×D43—28no—
731C4×D43—28no—
732C4×D43—28no—
733C4×D43—28no—
734C4×D43—28no—
735C4×D43—28no—
736C4×D43—44no—
737C4×D43—44no—
738C4×D43—44no—
739C4×D43—44no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—44no—
746C2×#2335—431nomaximal, Sylow
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—22no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43C24×C411yescharacteristic
762C22×C43C22×#4111yescharacteristic
763C22×C43C22×#4111yescharacteristic
764C22×C43C2×H(5,𝔽2)11yescharacteristic
765C22×C43C2×H(5,𝔽2)11yescharacteristic
766C22×C43C2×H(5,𝔽2)11yescharacteristic
767C22×C43C2×2−1+411yescharacteristic
768C2×D43—22no—
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—416no—
783C2×D43—416no—
784C2×D43C4×#4114yes—
785C2×D43#51814yes—
786C2×D43#52014yes—
787C2×D43#53814yes—
788C2×D43#53914yes—
789C2×D43#54014yes—
790C2×D43#54214yes—
791C4×C43—22no—
792C4×C43—22no—
793C4×C43—22no—
794C4×C43—22no—
795C4×C43—22no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804Dic43—22no—
805Dic43—22no—
806Dic43—22no—
807Dic43—22no—
808Dic43—22no—
809Dic43—22no—
810Dic43—22no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817C22×#123—431no—
818#2335—431no—
819#2335—431no—
820#2335—431no—
821#2335—431no—
822#2335—431no—
823#2335—431no—
824#2335—431no—
825#2335—431no—
826#2335—431no—
827#2335—431no—
828#2335—431no—
829#2335—431no—
830#2335—431no—
831#2335—431no—
832#2335—431no—
833#2335D4311yescharacteristic, direct product factor
834C2×#390—431no—
835C2×#389—431no—
836C2×#388—431no—
837C2×#388—431no—
838C2×#388—431no—
839C2×#388—431no—
840C2×#387—431no—
841C2×#387—431no—
842C2×#386—431no—
843C2×#385—431no—
844C2×#380—431no—
845C2×C4×C4⋊C4—431no—
846C2×C4×C22⋊C4—431no—
847C2×C4×C22⋊C4—431no—
848C2×C43—42no—
849C2×C43—42no—
850C2×C43C2×C4×#4111yescharacteristic
851C2×C43C2×#51811yescharacteristic
852C2×C43C2×#52011yescharacteristic
853C2×C43C2×#53811yescharacteristic
854C2×C43C2×#53911yescharacteristic
855C2×C43C2×#54011yescharacteristic
856C2×C43C2×#54211yescharacteristic
857D43—42no—
858D43—42no—
859D43#233518yesdirect product factor
860C23×D4—431no—
861C24×C4—431no—
862C24×C4—431no—
863C2×#123—431no—
864C2×#123—431no—
865C2×#123—4316no—
866C2×#123—431no—
867C2×#123—431no—
868C2×#123—431no—
869C2×#123—431no—
870C2×#123—431no—
871C2×#123C2×D4311yescharacteristic
872C22×C4⋊C4—431no—
873C22×C4⋊C4—431no—
874C22×C4⋊C4—431no—
875C22×C4⋊C4—431no—
876C22×C4⋊C4—431no—
877C22×C4⋊C4—431no—
878C22×C4⋊C4—431no—
879C22×C22⋊C4—431no—
880C22×C22⋊C4—431no—
881C22×C22⋊C4—431no—
882C22×C22⋊C4—431no—
883C22×C22⋊C4—431no—
884C22×C22⋊C4—431no—
885C22×C22⋊C4—431no—
886C22×C22⋊C4—431no—
887C22×C22⋊C4—431no—
888C22×C22⋊C4—431no—
889C22×C42—431no—
890C22×C42—431no—
891C22×C42—431no—
892C22×C42—431no—
893C22×C42—431no—
894#390—431no—
895#390—431no—
896#390—431no—
897#390—431no—
898#390—431no—
899#390—431no—
900#390—431no—
901#390C2×D4311yescharacteristic
902#389—431no—
903#389—431no—
904#389—431no—
905#389—431no—
906#389—431no—
907#389—431no—
908#389—431no—
909#389C2×D4311yescharacteristic, complemented
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#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388C2×D4311yescharacteristic, complemented
939#388C2×D4311yescharacteristic, complemented
940#388C2×D4311yescharacteristic, complemented
941#388C2×D4311yescharacteristic, complemented
942#387—431no—
943#387—431no—
944#387—431no—
945#387—431no—
946#387—431no—
947#387—431no—
948#387—431no—
949#387—431no—
950#387—431no—
951#387—431no—
952#387—431no—
953#387—431no—
954#387—431no—
955#387—431no—
956#387C2×D4311yescharacteristic, complemented
957#387C2×D4311yescharacteristic, complemented
958#386—431no—
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386C2×D4311yescharacteristic
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385C2×D4311yescharacteristic, complemented
974#380—431no—
975#380—431no—
976#380—431no—
977#380—431no—
978#380—431no—
979#380—431no—
980#380—431no—
981#380C2×D4311yescharacteristic, complemented
982C4×C4⋊C4—431no—
983C4×C4⋊C4—431no—
984C4×C4⋊C4—431no—
985C4×C4⋊C4—431no—
986C4×C4⋊C4—431no—
987C4×C4⋊C4—431no—
988C4×C4⋊C4—431no—
989C4×C4⋊C4C2×D4311yescharacteristic, complemented
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4—431no—
997C4×C22⋊C4—431no—
998C4×C22⋊C4—431no—
999C4×C22⋊C4—431no—
1000C4×C22⋊C4—431no—
1001C4×C22⋊C4—431no—
1002C4×C22⋊C4—431no—
1003C4×C22⋊C4—431no—
1004C4×C22⋊C4C2×D4311yescharacteristic, complemented
1005C4×C22⋊C4C2×D4311yescharacteristic, complemented
1006C2×#95—431no—
1007C2×#95—431no—
1008C2×#95—431no—
1009C2×#95—431no—
1010C2×#95—431no—
1011C2×#95—431no—
1012C2×#95—431no—
1013C2×#95—431no—
1014C2×#95—431no—
1015C2×#95—431no—
1016C43C2×#233511yescharacteristic, complemented, Sylow
1017C25—431no—
1018C25—431no—
1019C22×D4—431no—
1020C22×D4—431no—
1021C22×D4—438no—
1022C22×D4—431no—
1023C22×D4—1722no—
1024C22×D4—1722no—
1025C22×D4C22×D4311yescharacteristic
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4—431no—
1029C23×C4—431no—
1030C23×C4—431no—
1031C23×C4—431no—
1032C23×C4—431no—
1033C23×C4—431no—
1034C23×C4—438no—
1035C23×C4—431no—
1036C23×C4—431no—
1037C23×C4—431no—
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—864no—
1047C23×C4—1722no—
1048C23×C4—1722no—
1049C23×C4—1722no—
1050C23×C4—1722no—
1051C23×C4C22×D4311yescharacteristic
1052C23×C4C22×D4311yescharacteristic
1053#123—438no—
1054#123—438no—
1055#123—438no—
1056#123—438no—
1057#123—438no—
1058#123—438no—
1059#123—438no—
1060#123C4×D4318yescomplemented
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—438no—
1068C2×C4⋊C4—438no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—864no—
1085C2×C4⋊C4—1722no—
1086C2×C4⋊C4—1722no—
1087C2×C4⋊C4—1722no—
1088C2×C4⋊C4—1722no—
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—438no—
1106C2×C22⋊C4—438no—
1107C2×C22⋊C4—438no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—864no—
1130C2×C22⋊C4—864no—
1131C2×C22⋊C4—864no—
1132C2×C22⋊C4—1722no—
1133C2×C22⋊C4—1722no—
1134C2×C22⋊C4—1722no—
1135C2×C22⋊C4—1722no—
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—431no—
1156C2×C42—431no—
1157C2×C42—431no—
1158C2×C42—431no—
1159C2×C42—431no—
1160C2×C42—431no—
1161C2×C42—864no—
1162C2×C42—1722no—
1163C2×C42—1722no—
1164C2×C42—1722no—
1165C2×C42—1722no—
1166C2×C42C22×D4311yescharacteristic
1167C2×C42C22×D4311yescharacteristic
1168C2×C42C22×D4311yescharacteristic
1169C2×C42C22×D4311yescharacteristic
1170C2×C42C22×D4311yescharacteristic
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95C22×D4311yescharacteristic
1202#95C22×D4311yescharacteristic
1203#95C22×D4311yescharacteristic
1204#95C22×D4311yescharacteristic
1205#95C22×D4311yescharacteristic
1206#95C22×D4311yescharacteristic
1207#95C22×D4311yescharacteristic
1208#95C22×D4311yescharacteristic
1209#95C22×D4311yescharacteristic
1210#95C22×D4311yescharacteristic
1211C24—431no—
1212C24—434no—
1213C24—434no—
1214C24—431no—
1215C24—431no—
1216C24—862no—
1217C24—862no—
1218C24—862no—
1219C24—862no—
1220C24—862no—
1221C24—862no—
1222C24—862no—
1223C24—862no—
1224C24—862no—
1225C24—862no—
1226C24—862no—
1227C24—862no—
1228C24C23×D4311yescharacteristic
1229C24C23×D4311yescharacteristic
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—434no—
1233C2×D4—434no—
1234C2×D4—434no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—17216no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4C2×C4×D4314yes—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—434no—
1256C22×C4—434no—
1257C22×C4—434no—
1258C22×C4—434no—
1259C22×C4—434no—
1260C22×C4—434no—
1261C22×C4—434no—
1262C22×C4—434no—
1263C22×C4—434no—
1264C22×C4—434no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
1285C22×C4—862no—
1286C22×C4—862no—
1287C22×C4—862no—
1288C22×C4—862no—
1289C22×C4—862no—
1290C22×C4—862no—
1291C22×C4—862no—
1292C22×C4—862no—
1293C22×C4—862no—
1294C22×C4—862no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—1721no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—17216no—
1315C22×C4—17216no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4C2×C4×D4314yescomplemented
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—434no—
1340C4⋊C4—434no—
1341C4⋊C4—434no—
1342C4⋊C4—434no—
1343C4⋊C4—434no—
1344C4⋊C4—434no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—1721no—
1349C4⋊C4—1721no—
1350C4⋊C4—1721no—
1351C4⋊C4—1721no—
1352C4⋊C4—1721no—
1353C4⋊C4—1721no—
1354C4⋊C4—1721no—
1355C4⋊C4—1721no—
1356C4⋊C4—1721no—
1357C4⋊C4—1721no—
1358C4⋊C4—1721no—
1359C4⋊C4—1721no—
1360C4⋊C4C2×C4×D4314yescomplemented
1361C4⋊C4C2×C4×D4314yescomplemented
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—434no—
1370C22⋊C4—434no—
1371C22⋊C4—434no—
1372C22⋊C4—434no—
1373C22⋊C4—434no—
1374C22⋊C4—434no—
1375C22⋊C4—434no—
1376C22⋊C4—434no—
1377C22⋊C4—434no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C22⋊C4—1721no—
1395C22⋊C4—1721no—
1396C22⋊C4—1721no—
1397C22⋊C4—1721no—
1398C22⋊C4—1721no—
1399C22⋊C4C2×C4×D4314yes—
1400C22⋊C4C2×C4×D4314yes—
1401C22⋊C4C2×C4×D4314yescomplemented
1402C42—22no—
1403C42—41no—
1404C42—41no—
1405C42—41no—
1406C42—41no—
1407C42—862no—
1408C42—862no—
1409C42—862no—
1410C42—1721no—
1411C42—1721no—
1412C42—1721no—
1413C42—1721no—
1414C42—1721no—
1415C42—1721no—
1416C42—1721no—
1417C42—1721no—
1418C42—1721no—
1419C42—1721no—
1420C42—1721no—
1421C42—1721no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—432no—
1435C23—432no—
1436C23—432no—
1437C23—432no—
1438C23—432no—
1439C23—432no—
1440C23—432no—
1441C23—432no—
1442C23—432no—
1443C23—868no—
1444C23—868no—
1445C23—868no—
1446C23—868no—
1447C23—868no—
1448C23—868no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—1724no—
1462C23—1724no—
1463C23—1724no—
1464C23—1724no—
1465C23—1724no—
1466C23—1724no—
1467C23—1724no—
1468C23—1724no—
1469C23C22×C4×D4312yes—
1470C23C22×C4×D4312yes—
1471C23C24×D4311yescharacteristic
1472D4—44no—
1473D4—1724no—
1474D4—1724no—
1475D4—1724no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—432no—
1511C2×C4—432no—
1512C2×C4—432no—
1513C2×C4—432no—
1514C2×C4—432no—
1515C2×C4—432no—
1516C2×C4—432no—
1517C2×C4—868no—
1518C2×C4—868no—
1519C2×C4—868no—
1520C2×C4—868no—
1521C2×C4—868no—
1522C2×C4—868no—
1523C2×C4—868no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—1724no—
1557C2×C4—1724no—
1558C2×C4—1724no—
1559C2×C4—1724no—
1560C2×C4—1724no—
1561C2×C4—1724no—
1562C2×C4—1724no—
1563C2×C4—1724no—
1564C2×C4—1724no—
1565C2×C4—1724no—
1566C2×C4—1724no—
1567C2×C4—1724no—
1568C2×C4C22×C4×D4312yes—
1569C2×C4C22×C4×D4312yes—
1570C2×C4C22×C4×D4312yes—
1571C2×C4C22×C4×D4312yes—
1572C2×C4C22×C4×D4312yes—
1573C2×C4#41×D4312yes—
1574C2×C4#41×D4312yes—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—434no—
1590C22—434no—
1591C22—434no—
1592C22—434no—
1593C22—434no—
1594C22—434no—
1595C22—434no—
1596C22—862no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—862no—
1601C22—862no—
1602C22—17216no—
1603C22—17216no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22C23×C4×D4311yescharacteristic
1613C22C2×#41×D4311yescharacteristic
1614C22C2×#41×D4311yescharacteristic
1615C22H(5,𝔽2)×D4311yescharacteristic
1616C22H(5,𝔽2)×D4311yescharacteristic
1617C22H(5,𝔽2)×D4311yescharacteristic
1618C222−1+4×D4311yescharacteristic
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—862no—
1633C4—862no—
1634C4—862no—
1635C4—862no—
1636C4—862no—
1637C4—862no—
1638C4—862no—
1639C4—1721no—
1640C4—1721no—
1641C4—1721no—
1642C4—1721no—
1643C4—1721no—
1644C4—1721no—
1645C2—42no—
1646C2—42no—
1647C2—438no—
1648C2—1722no—
1649C2—1722no—
1650C2C4×#41×D4311yescharacteristic
1651C2#518×D4311yescharacteristic
1652C2#520×D4311yescharacteristic
1653C2#538×D4311yescharacteristic
1654C2#539×D4311yescharacteristic
1655C2#540×D4311yescharacteristic
1656C2#542×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2335C2
socle, cosocleC23×C43C25
prime radicalC22×D4×D43C22
hypercenter#2335D43
hypocenterC43C2×#2335
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #19137392C2semidirect
3. #19137391C2semidirect
4. #19137390C2semidirect
5. #19137389C2semidirect
6. #19137388C2semidirect
7. #19137387C2semidirect
8. #19137386C2semidirect
9. #19137385C2semidirect
10. #19137384C2semidirect
11. #19137383C2semidirect
12. #19137382C2semidirect
13. #19137381C2semidirect
14. #19137380C2semidirect
15. #19137379C2semidirect
16. #19137378C2semidirect
18. #389×D43C2semidirect
19. #388×D43C2semidirect
20. #388×D43C2semidirect
21. #388×D43C2semidirect
22. #388×D43C2semidirect
23. #387×D43C2semidirect
24. #387×D43C2semidirect
26. #385×D43C2semidirect
27. #380×D43C2semidirect
28. C4×C4⋊C4×D43C2semidirect
29. C4×C22⋊C4×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2335C2semidirect
42. #123×D43C4semidirect
72. #14582798C22semidirect
73. #14582797C22semidirect
74. #14582796C22semidirect
75. #14582796C22semidirect
76. #14582795C22semidirect
77. #14582794C22semidirect
78. #14582794C22semidirect
79. #14582793C22semidirect
80. #14582793C22semidirect
81. #14582793C22semidirect
82. #14582793C22semidirect
83. #14582792C22semidirect
84. #14582792C22semidirect
85. #14582792C22semidirect
86. #14582792C22semidirect
87. #14582791C22semidirect
88. #14582791C22semidirect
89. #14582791C22semidirect
90. #14582791C22semidirect
91. #14582790C22semidirect
92. #14582790C22semidirect
93. #14582790C22semidirect
94. #14582790C22semidirect
95. #14582789C22semidirect
96. #14582789C22semidirect
97. #14582789C22semidirect
98. #14582789C22semidirect
99. #14582788C22semidirect
100. #14582788C22semidirect
101. #14582788C22semidirect
102. #14582788C22semidirect
103. #14582787C22semidirect
104. #14582787C22semidirect
105. #14582787C22semidirect
106. #14582787C22semidirect
107. #14582786C22semidirect
108. #14582786C22semidirect
109. #14582785C22semidirect
110. #14582785C22semidirect
111. #14582784C22semidirect
112. #14582784C22semidirect
113. #14582783C22semidirect
114. #14582783C22semidirect
115. #14582782C22semidirect
116. #14582782C22semidirect
117. #14582781C22semidirect
118. #14582781C22semidirect
119. #14582780C22semidirect
120. #14582780C22semidirect
128. #14582774C22semidirect
129. #14582773C22semidirect
130. #14582773C22semidirect
131. #14582772C22semidirect
132. #14582771C22semidirect
133. #14582770C22semidirect
134. #14582770C22semidirect
135. #14582759C22semidirect
136. #14582758C22semidirect
137. #14582758C22semidirect
138. #14582757C22semidirect
139. #14582757C22semidirect
140. #14582756C22semidirect
141. #14582756C22semidirect
142. C4⋊C4×Dic43C22semidirect
143. C4⋊C4×Dic43C22semidirect
144. C4×Dic43⋊C4C22semidirect
145. C4×Dic43⋊C4C22semidirect
146. C4×C4⋊Dic43C22semidirect
147. #14582750C22semidirect
148. #14582750C22semidirect
149. C22⋊C4×Dic43C22semidirect
150. C22⋊C4×Dic43C22semidirect
151. C22⋊C4×Dic43C22semidirect
152. C22⋊C4×Dic43C22semidirect
153. C4×(C2×D43)⋊C4C22semidirect
154. C4×(C2×D43)⋊C4C22semidirect
155. C4×(C2×D43)⋊C4C22semidirect
156. C4×(C2×D43)⋊C4C22semidirect
157. C4×C22⋊Dic43C22semidirect
158. C4×C22⋊Dic43C22semidirect
159. #14582746C22semidirect
160. #14582746C22semidirect
161. #14582746C22semidirect
162. #14582746C22semidirect
175. C43×#389C22semidirect
176. C43×#388C22semidirect
177. C43×#388C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#387C22semidirect
181. C43×#387C22semidirect
183. C43×#385C22semidirect
184. C43×#380C22semidirect
185. C4×C4⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
203. C22×C4×D43C2×C4semidirect
221. #13063310C2×C4semidirect
222. #13063310C2×C4semidirect
223. #13063309C2×C4semidirect
224. #13063308C2×C4semidirect
225. #13063307C2×C4semidirect
226. #13063307C2×C4semidirect
227. #13063306C2×C4semidirect
254. C4⋊C4×D43C2×C4semidirect
255. C4⋊C4×D43C2×C4semidirect
295. C22⋊C4×D43C2×C4semidirect
349. #123×C43C2×C4semidirect
409. C22×C4×C43C22×C4semidirect
434. C22×Dic43C22×C4semidirect
501. C2×C4×D43C22×C4semidirect
502. C2×C4×D43C22×C4semidirect
510. C4⋊C4×C43C22×C4semidirect
511. C4⋊C4×C43C22×C4semidirect
521. C22⋊C4×C43C22×C4semidirect
536. C22⋊Dic43C22×C4semidirect
555. (C2×D43)⋊C4C22×C4semidirect
556. (C2×D43)⋊C4C22×C4semidirect
562. C4⋊Dic43C22×C4semidirect
563. C4⋊Dic43C22×C4semidirect
574. Dic43⋊C4C22×C4semidirect
575. Dic43⋊C4C22×C4semidirect
576. Dic43⋊C4C22×C4semidirect
577. Dic43⋊C4C22×C4semidirect
833. #2335D43direct (N × H)
859. D43#2335direct (N × H)
909. #389C2×D43semidirect
938. #388C2×D43semidirect
939. #388C2×D43semidirect
940. #388C2×D43semidirect
941. #388C2×D43semidirect
956. #387C2×D43semidirect
957. #387C2×D43semidirect
973. #385C2×D43semidirect
981. #380C2×D43semidirect
989. C4×C4⋊C4C2×D43semidirect
1004. C4×C22⋊C4C2×D43semidirect
1005. C4×C22⋊C4C2×D43semidirect
1016. C43C2×#2335semidirect
1060. #123C4×D43semidirect
1320. C22×C4C2×C4×D43semidirect
1360. C4⋊C4C2×C4×D43semidirect
1361. C4⋊C4C2×C4×D43semidirect
1401. C22⋊C4C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D432
#191373922
#191373912
#191373902
#191373892
#191373882
#191373872
#191373862
#191373852
#191373842
#191373832
#191373822
#191373812
#191373802
#191373792
#191373782
#390×D432
#389×D432
#388×D432
#387×D432
#386×D432
#385×D432
#380×D432
C4×C4⋊C4×D432
C4×C22⋊C4×D432
C43×#23352
C2×#233543