Finite Group Databasebeta

← D43×#2424 #25264059

Subgroups — D43×#2424 #25264059

Order 11008.

5898 conjugacy classes of subgroups.

The subgroup lattice has 2356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D43C211yesmaximal, characteristic, complemented
2C2×#121×D43C211yesmaximal, characteristic, complemented
3C2×#120×D43C211yesmaximal, characteristic, complemented
4C2×#120×D43C211yesmaximal, characteristic, complemented
5C2×C4×D4×D43C211yesmaximal, characteristic, complemented
6C22×C22⋊C4×D43C211yesmaximal, characteristic, complemented
7#19138138C211yesmaximal, characteristic, complemented
8#19138137C211yesmaximal, characteristic, complemented
9#19138136C211yesmaximal, characteristic, complemented
10#19138135C211yesmaximal, characteristic, complemented
11#19138134C211yesmaximal, characteristic, complemented
12#19138133C211yesmaximal, characteristic, complemented
13#19138132C211yesmaximal, characteristic, complemented
14#19138131C211yesmaximal, characteristic, complemented
15#19138130C211yesmaximal, characteristic, complemented
16#19138129C211yesmaximal, characteristic, complemented
17#19138128C211yesmaximal, characteristic, complemented
18#19138127C211yesmaximal, characteristic, complemented
19#19138126C211yesmaximal, characteristic, complemented
20#19138125C211yesmaximal, characteristic, complemented
21#19138124C211yesmaximal, characteristic, complemented
22#396×D43C211yesmaximal, characteristic, complemented
23#394×D43C211yesmaximal, characteristic, complemented
24#394×D43C211yesmaximal, characteristic, complemented
25#392×D43C211yesmaximal, characteristic, complemented
26#390×D43C211yesmaximal, characteristic, complemented
27#388×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic, complemented
29#386×D43C211yesmaximal, characteristic, complemented
30#385×D43C211yesmaximal, characteristic, complemented
31C43×#2424C211yesmaximal, characteristic, complemented
32C25×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C22×D4×D43C2211yescharacteristic
36C22×D4×D43C2211yescharacteristic
37C22×D4×D43C2211yescharacteristic
38C22×D4×D43C2211yescharacteristic
39C22×D4×D43C2211yescharacteristic, complemented
40C23×C4×D43C2211yescharacteristic
41C23×C4×D43C2211yescharacteristic
42C23×C4×D43C2211yescharacteristic, complemented
43C2×#13063300C2211yescharacteristic, complemented
44C2×#13063300C2211yescharacteristic, complemented
45C2×#13063299C2211yescharacteristic, complemented
46C2×#13063299C2211yescharacteristic, complemented
47C2×#13063298C2211yescharacteristic, complemented
48C2×#13063298C2211yescharacteristic, complemented
49C2×#13063298C2211yescharacteristic, complemented
50C2×#13063298C2211yescharacteristic, complemented
51C2×#13063297C2211yescharacteristic, complemented
52C2×#13063297C2211yescharacteristic, complemented
53C2×#13063297C2211yescharacteristic, complemented
54C2×#13063297C2211yescharacteristic, complemented
55C2×#13063296C2211yescharacteristic, complemented
56C2×#13063296C2211yescharacteristic, complemented
57#121×D43—28no—
58#121×D43—28no—
59C2×#13063295C2211yescharacteristic, complemented
60C2×#13063295C2211yescharacteristic, complemented
61C2×#13063295C2211yescharacteristic, complemented
62C2×#13063295C2211yescharacteristic, complemented
63C2×#13063295C2211yescharacteristic, complemented
64C2×#13063295C2211yescharacteristic, complemented
65C2×#13063294C2211yescharacteristic, complemented
66C2×#13063294C2211yescharacteristic, complemented
67C2×#13063293C2211yescharacteristic, complemented
68C2×#13063293C2211yescharacteristic, complemented
69C2×#13063293C2211yescharacteristic, complemented
70C2×#13063293C2211yescharacteristic, complemented
71C2×#13063293C2211yescharacteristic, complemented
72C2×#13063293C2211yescharacteristic, complemented
73#120×D43—28no—
74#120×D43—28no—
75C2×C4×D172C2211yescharacteristic, complemented
76C2×D4×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic, complemented
78C2×C4×C22⋊D43C2211yescharacteristic, complemented
79C2×C4×C22⋊D43C2211yescharacteristic, complemented
80C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
82C4×D4×D43—28no—
83C2×C4⋊C4×D43C2211yescharacteristic, complemented
84C2×C4⋊C4×D43C2211yescharacteristic, complemented
85C2×C4⋊C4×D43C2211yescharacteristic, complemented
86C2×C4⋊C4×D43C2211yescharacteristic, complemented
87C22×C22⋊Dic43C2211yescharacteristic, complemented
88C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
89C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
90C2×C22⋊C4×D43—28no—
91C2×C22⋊C4×D43C2211yescharacteristic
92C2×C22⋊C4×D43C2211yescharacteristic
93C2×C22⋊C4×D43C2211yescharacteristic
94C2×C22⋊C4×D43C2211yescharacteristic
95C2×C22⋊C4×D43C2211yescharacteristic
96C2×C22⋊C4×D43C2211yescharacteristic
97C2×C22⋊C4×D43C2211yescharacteristic
98C2×C22⋊C4×D43C2211yescharacteristic
99C2×C22⋊C4×D43C2211yescharacteristic
100C2×C22⋊C4×D43C2211yescharacteristic
101C2×C22⋊C4×D43C2211yescharacteristic, complemented
102C2×C22⋊C4×D43C2211yescharacteristic, complemented
103C2×C22⋊C4×D43C2211yescharacteristic, complemented
104C2×C22⋊C4×D43C2211yescharacteristic, complemented
105C2×C22⋊C4×D43C2211yescharacteristic, complemented
106C2×C22⋊C4×D43C2211yescharacteristic, complemented
107C2×C22⋊C4×D43C2211yescharacteristic, complemented
108C2×C22⋊C4×D43C2211yescharacteristic, complemented
109C2×C22⋊C4×D43C2211yescharacteristic, complemented
110C2×C42×D43C2211yescharacteristic, complemented
111#14582823C2211yescharacteristic, complemented
112#14582822C2211yescharacteristic, complemented
113#14582822C2211yescharacteristic, complemented
114#14582822C2211yescharacteristic, complemented
115#14582821C2211yescharacteristic, complemented
116#14582821C2211yescharacteristic, complemented
117#14582821C2211yescharacteristic, complemented
118#14582817C2211yescharacteristic, complemented
119#14582817C2211yescharacteristic, complemented
120#14582816C2211yescharacteristic, complemented
121#14582816C2211yescharacteristic, complemented
122#14582815C2211yescharacteristic, complemented
123#14582815C2211yescharacteristic, complemented
124#14582815C2211yescharacteristic, complemented
125#14582815C2211yescharacteristic, complemented
126#14582814C2211yescharacteristic, complemented
127#14582814C2211yescharacteristic, complemented
128#14582814C2211yescharacteristic, complemented
129#14582814C2211yescharacteristic, complemented
130#14582813C2211yescharacteristic, complemented
131#14582813C2211yescharacteristic, complemented
132#14582809C2211yescharacteristic, complemented
133#14582808C2211yescharacteristic, complemented
134#14582808C2211yescharacteristic, complemented
135#14582808C2211yescharacteristic, complemented
136#14582807C2211yescharacteristic, complemented
137#14582807C2211yescharacteristic, complemented
138#14582807C2211yescharacteristic, complemented
139#14582802C2211yescharacteristic, complemented
140#14582801C2211yescharacteristic, complemented
141#14582800C2211yescharacteristic, complemented
142#14582799C2211yescharacteristic, complemented
143#14582799C2211yescharacteristic, complemented
144#14582799C2211yescharacteristic, complemented
145#14582799C2211yescharacteristic, complemented
146#14582793C2211yescharacteristic, complemented
147#14582792C2211yescharacteristic, complemented
148#14582791C2211yescharacteristic, complemented
149#14582790C2211yescharacteristic, complemented
150#14582789C2211yescharacteristic, complemented
151#14582788C2211yescharacteristic, complemented
152#14582787C2211yescharacteristic, complemented
153#14582779C2211yescharacteristic, complemented
154#14582779C2211yescharacteristic, complemented
155#14582778C2211yescharacteristic, complemented
156#14582778C2211yescharacteristic, complemented
157#14582777C2211yescharacteristic, complemented
158#14582777C2211yescharacteristic, complemented
159#14582777C2211yescharacteristic, complemented
160#14582777C2211yescharacteristic, complemented
161#14582776C2211yescharacteristic, complemented
162#14582776C2211yescharacteristic, complemented
163#14582775C2211yescharacteristic, complemented
164#14582775C2211yescharacteristic, complemented
165#14582775C2211yescharacteristic, complemented
166#14582775C2211yescharacteristic, complemented
167#14582774C2211yescharacteristic, complemented
168#14582773C2211yescharacteristic, complemented
169#14582773C2211yescharacteristic, complemented
170#14582772C2211yescharacteristic, complemented
171#14582771C2211yescharacteristic, complemented
172#14582770C2211yescharacteristic, complemented
173#14582770C2211yescharacteristic, complemented
174#95×D43C2211yescharacteristic, complemented
175#95×D43C2211yescharacteristic, complemented
176#95×D43C2211yescharacteristic, complemented
177#95×D43C2211yescharacteristic, complemented
178C2×#121×C43C2211yescharacteristic, complemented
179C2×#121×C43C2211yescharacteristic, complemented
180C2×#120×C43C2211yescharacteristic, complemented
181C2×#120×C43C2211yescharacteristic, complemented
182C2×C4×D4×C43C2211yescharacteristic, complemented
183C22×C22⋊C4×C43C2211yescharacteristic, complemented
184C43×#396C2211yescharacteristic, complemented
185C43×#394C2211yescharacteristic, complemented
186C43×#394C2211yescharacteristic, complemented
187C43×#392C2211yescharacteristic, complemented
188C43×#390C2211yescharacteristic, complemented
189C43×#388C2211yescharacteristic, complemented
190C43×#386C2211yescharacteristic, complemented
191C43×#386C2211yescharacteristic, complemented
192C43×#385C2211yescharacteristic, complemented
193C24×D43—24no—
194C24×D43—24no—
195C24×D43—24no—
196C24×D43—24no—
197C24×D43—24no—
198C24×D43—42no—
199C24×D43—42no—
200C24×D43C2311yescharacteristic
201C24×D43C2311yescharacteristic
202C24×D43C2311yescharacteristic
203C24×D43C2311yescharacteristic
204C24×D43C2311yescharacteristic
205C24×D43C2311yescharacteristic
206C24×D43C2311yescharacteristic
207C24×D43C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C22×D172C2311yescharacteristic
213C22×D172C2311yescharacteristic
214C22×D172C2311yescharacteristic, complemented
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C22×C22⋊D43C2311yescharacteristic
219C22×C22⋊D43C2311yescharacteristic
220C22×C22⋊D43C2311yescharacteristic
221C22×C22⋊D43C2311yescharacteristic
222C22×C22⋊D43C2311yescharacteristic
223C22×C22⋊D43C2311yescharacteristic
224C22×C22⋊D43C2311yescharacteristic
225C22×C22⋊D43C2311yescharacteristic
226C22×C22⋊D43C2311yescharacteristic
227C22×C22⋊D43C2311yescharacteristic, complemented
228C22×C22⋊D43C2311yescharacteristic, complemented
229C2×D4×D43—24no—
230C2×D4×D43—24no—
231C2×D4×D43—24no—
232C2×D4×D43—24no—
233C2×D4×D43—24no—
234C2×D4×D43—24no—
235C2×D4×D43—24no—
236C2×D4×D43—24no—
237C2×D4×D43—24no—
238C2×D4×D43—24no—
239C2×D4×D43—24no—
240C2×D4×D43—24no—
241C2×D4×D43—24no—
242C2×D4×D43—24no—
243C2×D4×D43—24no—
244C2×D4×D43—42no—
245C2×D4×D43—42no—
246C2×D4×D43—42no—
247C2×D4×D43—42no—
248C2×D4×D43—42no—
249C2×D4×D43D418yescomplemented
250C23×Dic43C2311yescharacteristic
251C23×Dic43C2311yescharacteristic
252C23×Dic43C2311yescharacteristic, complemented
253C22×C4×D43—24no—
254C22×C4×D43—24no—
255C22×C4×D43—24no—
256C22×C4×D43—24no—
257C22×C4×D43—24no—
258C22×C4×D43—24no—
259C22×C4×D43—42no—
260C22×C4×D43—42no—
261C22×C4×D43—42no—
262C22×C4×D43C2311yescharacteristic
263C22×C4×D43C2311yescharacteristic
264C22×C4×D43C2311yescharacteristic
265C22×C4×D43C2311yescharacteristic
266C22×C4×D43C2311yescharacteristic
267C22×C4×D43C2311yescharacteristic
268C22×C4×D43C2311yescharacteristic
269C22×C4×D43C2311yescharacteristic
270C22×C4×D43C2311yescharacteristic
271C22×C4×D43C2311yescharacteristic
272C22×C4×D43C2311yescharacteristic
273C22×C4×D43C2311yescharacteristic
274C22×C4×D43C2311yescharacteristic
275C22×C4×D43C2311yescharacteristic
276C22×C4×D43C2311yescharacteristic, complemented
277C22×C4×D43C2311yescharacteristic, complemented
278#13063300—24no—
279#13063300—24no—
280#13063299—24no—
281#13063299—24no—
282#13063298—24no—
283#13063298—24no—
284#13063298—24no—
285#13063298—24no—
286#13063297—24no—
287#13063297—24no—
288#13063297—24no—
289#13063297—24no—
290#13063296—24no—
291#13063296—24no—
292#13063295—24no—
293#13063295—24no—
294#13063295—24no—
295#13063295—24no—
296#13063295—24no—
297#13063295—24no—
298#13063294—24no—
299#13063294—24no—
300#13063293—24no—
301#13063293—24no—
302#13063293—24no—
303#13063293—24no—
304#13063293—24no—
305#13063293—24no—
306C4×D172—24no—
307D4×Dic43—24no—
308#13063287—24no—
309C4×C22⋊D43—24no—
310C4×C22⋊D43—24no—
311(C22⋊D43)⋊C4—24no—
312(C22⋊D43)⋊C4—24no—
313C2×C4⋊Dic43C2311yescharacteristic, complemented
314C2×C4⋊Dic43C2311yescharacteristic, complemented
315C2×C4⋊Dic43C2311yescharacteristic, complemented
316C2×C4⋊Dic43C2311yescharacteristic, complemented
317C2×Dic43⋊C4C2311yescharacteristic, complemented
318C2×Dic43⋊C4C2311yescharacteristic, complemented
319C2×Dic43⋊C4C2311yescharacteristic, complemented
320C2×Dic43⋊C4C2311yescharacteristic, complemented
321C2×Dic43⋊C4C2311yescharacteristic, complemented
322C2×Dic43⋊C4C2311yescharacteristic, complemented
323C2×Dic43⋊C4C2311yescharacteristic, complemented
324C2×Dic43⋊C4C2311yescharacteristic, complemented
325C4⋊C4×D43—24no—
326C4⋊C4×D43—24no—
327C4⋊C4×D43—24no—
328C4⋊C4×D43—42no—
329C2×C22⋊Dic43—24no—
330C2×C22⋊Dic43C2311yescharacteristic
331C2×C22⋊Dic43C2311yescharacteristic
332C2×C22⋊Dic43C2311yescharacteristic
333C2×C22⋊Dic43C2311yescharacteristic
334C2×C22⋊Dic43C2311yescharacteristic
335C2×C22⋊Dic43C2311yescharacteristic
336C2×C22⋊Dic43C2311yescharacteristic
337C2×C22⋊Dic43C2311yescharacteristic
338C2×C22⋊Dic43C2311yescharacteristic
339C2×C22⋊Dic43C2311yescharacteristic
340C2×C22⋊Dic43C2311yescharacteristic, complemented
341C2×C22⋊Dic43C2311yescharacteristic, complemented
342C2×C22⋊Dic43C2311yescharacteristic, complemented
343C2×C22⋊Dic43C2311yescharacteristic, complemented
344C2×C22⋊Dic43C2311yescharacteristic, complemented
345C2×(C2×D43)⋊C4—24no—
346C2×(C2×D43)⋊C4—24no—
347C2×(C2×D43)⋊C4C2311yescharacteristic
348C2×(C2×D43)⋊C4C2311yescharacteristic
349C2×(C2×D43)⋊C4C2311yescharacteristic
350C2×(C2×D43)⋊C4C2311yescharacteristic
351C2×(C2×D43)⋊C4C2311yescharacteristic
352C2×(C2×D43)⋊C4C2311yescharacteristic
353C2×(C2×D43)⋊C4C2311yescharacteristic
354C2×(C2×D43)⋊C4C2311yescharacteristic
355C2×(C2×D43)⋊C4C2311yescharacteristic
356C2×(C2×D43)⋊C4C2311yescharacteristic
357C2×(C2×D43)⋊C4C2311yescharacteristic
358C2×(C2×D43)⋊C4C2311yescharacteristic
359C2×(C2×D43)⋊C4C2311yescharacteristic
360C2×(C2×D43)⋊C4C2311yescharacteristic
361C2×(C2×D43)⋊C4C2311yescharacteristic
362C2×(C2×D43)⋊C4C2311yescharacteristic
363C2×(C2×D43)⋊C4C2311yescharacteristic
364C2×(C2×D43)⋊C4C2311yescharacteristic
365C2×(C2×D43)⋊C4C2311yescharacteristic
366C2×(C2×D43)⋊C4C2311yescharacteristic
367C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
368C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
369C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
370C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
371C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
372C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
373C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
374C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
375C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
376C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
377C22⋊C4×D43—24no—
378C22⋊C4×D43—24no—
379C22⋊C4×D43—24no—
380C22⋊C4×D43—24no—
381C22⋊C4×D43—24no—
382C22⋊C4×D43—24no—
383C22⋊C4×D43—24no—
384C22⋊C4×D43—24no—
385C22⋊C4×D43—24no—
386C22⋊C4×D43—24no—
387C22⋊C4×D43—24no—
388C22⋊C4×D43—24no—
389C22⋊C4×D43—24no—
390C22⋊C4×D43—24no—
391C22⋊C4×D43—24no—
392C22⋊C4×D43—24no—
393C22⋊C4×D43—42no—
394C22⋊C4×D43D418yescomplemented
395C22⋊C4×D43D418yescomplemented
396C2×C4×Dic43C2311yescharacteristic, complemented
397C2×C4×Dic43C2311yescharacteristic, complemented
398C2×C4×Dic43C2311yescharacteristic, complemented
399C42×D43—24no—
400C43⋊#95C2311yescharacteristic, complemented
401C43⋊#95C2311yescharacteristic, complemented
402C43⋊#95C2311yescharacteristic, complemented
403C43⋊#95C2311yescharacteristic, complemented
404C43⋊#95C2311yescharacteristic, complemented
405C43⋊#95C2311yescharacteristic, complemented
406C43⋊#95C2311yescharacteristic, complemented
407C43⋊#95C2311yescharacteristic, complemented
408C43⋊#95C2311yescharacteristic, complemented
409C43⋊#95C2311yescharacteristic, complemented
410C43⋊#95C2311yescharacteristic, complemented
411C43⋊#95C2311yescharacteristic, complemented
412C25×C43C2311yescharacteristic
413C22×D4×C43C2311yescharacteristic
414C22×D4×C43C2311yescharacteristic
415C22×D4×C43C2311yescharacteristic
416C22×D4×C43C2311yescharacteristic
417C22×D4×C43C2311yescharacteristic
418C22×D4×C43C2311yescharacteristic
419C22×D4×C43C2311yescharacteristic, complemented
420C23×C4×C43C2311yescharacteristic
421C23×C4×C43C2311yescharacteristic
422C23×C4×C43C2311yescharacteristic, complemented
423#121×C43—24no—
424#121×C43—24no—
425#120×C43—24no—
426#120×C43—24no—
427C4×D4×C43—24no—
428C2×C4⋊C4×C43C2311yescharacteristic, complemented
429C2×C4⋊C4×C43C2311yescharacteristic, complemented
430C2×C4⋊C4×C43C2311yescharacteristic, complemented
431C2×C4⋊C4×C43C2311yescharacteristic, complemented
432C2×C22⋊C4×C43—24no—
433C2×C22⋊C4×C43C2311yescharacteristic
434C2×C22⋊C4×C43C2311yescharacteristic
435C2×C22⋊C4×C43C2311yescharacteristic
436C2×C22⋊C4×C43C2311yescharacteristic
437C2×C22⋊C4×C43C2311yescharacteristic
438C2×C22⋊C4×C43C2311yescharacteristic
439C2×C22⋊C4×C43C2311yescharacteristic
440C2×C22⋊C4×C43C2311yescharacteristic
441C2×C22⋊C4×C43C2311yescharacteristic
442C2×C22⋊C4×C43C2311yescharacteristic
443C2×C22⋊C4×C43C2311yescharacteristic, complemented
444C2×C22⋊C4×C43C2311yescharacteristic, complemented
445C2×C22⋊C4×C43C2311yescharacteristic, complemented
446C2×C22⋊C4×C43C2311yescharacteristic, complemented
447C2×C22⋊C4×C43C2311yescharacteristic, complemented
448C2×C42×C43C2311yescharacteristic, complemented
449#95×C43C2311yescharacteristic, complemented
450#95×C43C2311yescharacteristic, complemented
451#95×C43C2311yescharacteristic, complemented
452#95×C43C2311yescharacteristic, complemented
453C24×C43—22no—
454C24×C43—22no—
455C24×C43—22no—
456C24×C43—22no—
457C24×C43—22no—
458C24×C43—41no—
459C24×C43—41no—
460C24×C43C2411yescharacteristic
461C24×C43C2411yescharacteristic
462C24×C43C2411yescharacteristic
463C24×C43C2411yescharacteristic
464C24×C43C2411yescharacteristic
465C23×D43—22no—
466C23×D43—22no—
467C23×D43—22no—
468C23×D43—22no—
469C23×D43—232no—
470C23×D43—22no—
471C23×D43—22no—
472C23×D43—22no—
473C23×D43—22no—
474C23×D43—22no—
475C23×D43—22no—
476C23×D43—22no—
477C23×D43—22no—
478C23×D43—22no—
479C23×D43—22no—
480C23×D43—22no—
481C23×D43—22no—
482C23×D43—22no—
483C23×D43—22no—
484C23×D43—22no—
485C23×D43—22no—
486C23×D43—22no—
487C23×D43—22no—
488C23×D43—22no—
489C23×D43—22no—
490C23×D43—22no—
491C23×D43—22no—
492C23×D43—22no—
493C23×D43—22no—
494C23×D43—22no—
495C23×D43—22no—
496C23×D43—22no—
497C23×D43—22no—
498C23×D43—22no—
499C23×D43—22no—
500C23×D43—22no—
501C23×D43—22no—
502C23×D43—22no—
503C23×D43—22no—
504C23×D43—22no—
505C23×D43—22no—
506C23×D43—22no—
507C23×D43—22no—
508C23×D43—22no—
509C23×D43—22no—
510C23×D43—41no—
511C23×D43—41no—
512C23×D43—41no—
513C23×D43—41no—
514C23×D43—41no—
515C23×D43—41no—
516C23×D43—416no—
517C23×D43—416no—
518C23×D43—416no—
519C23×D43—416no—
520C23×D43—416no—
521C23×D43—416no—
522C23×D43C2×D414yes—
523C23×D43C2×D414yes—
524C23×D43C2×D414yes—
525C23×D43C2×D414yes—
526C23×D43#4114yes—
527C23×D43#4114yes—
528C23×D43C2411yescharacteristic
529C23×D43C2411yescharacteristic
530C23×D43C2411yescharacteristic
531C23×D43C2411yescharacteristic
532C23×D43C2411yescharacteristic
533C23×D43C2411yescharacteristic
534C2×D4×C43—22no—
535C2×D4×C43—22no—
536C2×D4×C43—22no—
537C2×D4×C43—22no—
538C2×D4×C43—22no—
539C2×D4×C43—22no—
540C2×D4×C43—22no—
541C2×D4×C43—22no—
542C2×D4×C43—22no—
543C2×D4×C43—22no—
544C2×D4×C43—22no—
545C2×D4×C43—22no—
546C2×D4×C43—22no—
547C2×D4×C43—22no—
548C2×D4×C43—22no—
549C2×D4×C43—41no—
550C2×D4×C43—41no—
551C2×D4×C43—41no—
552C2×D4×C43—41no—
553C2×D4×C43—41no—
554C2×D4×C43C2×D414yescomplemented
555C22×C4×C43—22no—
556C22×C4×C43—22no—
557C22×C4×C43—22no—
558C22×C4×C43—22no—
559C22×C4×C43—22no—
560C22×C4×C43—22no—
561C22×C4×C43—41no—
562C22×C4×C43—41no—
563C22×C4×C43—41no—
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2411yescharacteristic
570C22×C4×C43C2411yescharacteristic
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2411yescharacteristic
574C2×C22⋊D43—22no—
575C2×C22⋊D43—22no—
576C2×C22⋊D43—22no—
577C2×C22⋊D43—22no—
578C2×C22⋊D43—22no—
579C2×C22⋊D43—22no—
580C2×C22⋊D43—22no—
581C2×C22⋊D43—22no—
582C2×C22⋊D43—22no—
583C2×C22⋊D43—22no—
584C2×C22⋊D43—22no—
585C2×C22⋊D43—22no—
586C2×C22⋊D43—22no—
587C2×C22⋊D43—22no—
588C2×C22⋊D43—22no—
589C2×C22⋊D43—22no—
590C2×C22⋊D43—22no—
591C2×C22⋊D43—22no—
592C2×C22⋊D43—22no—
593C2×C22⋊D43—22no—
594C2×C22⋊D43—22no—
595C2×C22⋊D43—22no—
596C2×C22⋊D43—22no—
597C2×C22⋊D43—22no—
598C2×C22⋊D43—22no—
599C2×C22⋊D43—22no—
600C2×C22⋊D43—22no—
601C2×C22⋊D43—22no—
602C2×C22⋊D43—22no—
603C2×C22⋊D43—22no—
604C2×C22⋊D43—41no—
605C2×C22⋊D43—41no—
606C2×C22⋊D43—41no—
607C2×C22⋊D43—41no—
608C2×C22⋊D43—41no—
609C2×C22⋊D43—41no—
610C2×C22⋊D43—41no—
611C2×C22⋊D43—41no—
612C2×C22⋊D43—41no—
613C2×C22⋊D43—41no—
614C2×C22⋊D43C2×D414yescomplemented
615C2×C22⋊D43C2×D414yescomplemented
616C22×Dic43—22no—
617C22×Dic43—22no—
618C22×Dic43—22no—
619C22×Dic43—22no—
620C22×Dic43—22no—
621C22×Dic43—22no—
622C22×Dic43—41no—
623C22×Dic43—41no—
624C22×Dic43—41no—
625C22×Dic43C2411yescharacteristic
626C22×Dic43C2411yescharacteristic
627C22×Dic43C2411yescharacteristic
628C22×Dic43C2411yescharacteristic
629C22×Dic43C2411yescharacteristic
630C22×Dic43C2411yescharacteristic
631C22×Dic43C2411yescharacteristic
632C22×Dic43C2411yescharacteristic
633C22×Dic43C2411yescharacteristic
634C22×Dic43C2411yescharacteristic
635D4×D43—232no—
636D4×D43—416no—
637D4×D43—416no—
638D4×D43—416no—
639D4×D43—416no—
640D4×D43—416no—
641D4×D43—416no—
642C2×D172—22no—
643C2×D172—22no—
644C2×D172—22no—
645C2×D172—22no—
646C2×D172—22no—
647C2×D172—22no—
648C2×D172—22no—
649C2×D172—22no—
650C2×D172—22no—
651C2×D172—22no—
652C2×D172—22no—
653C2×D172—22no—
654C2×D172—22no—
655C2×D172—22no—
656C2×D172—22no—
657C2×D172—41no—
658C2×D172—41no—
659C2×D172—41no—
660C2×D172—41no—
661C2×D172—41no—
662C2×D172C2×D414yescomplemented
663C2×C4×D43—22no—
664C2×C4×D43—22no—
665C2×C4×D43—22no—
666C2×C4×D43—22no—
667C2×C4×D43—22no—
668C2×C4×D43—22no—
669C2×C4×D43—22no—
670C2×C4×D43—22no—
671C2×C4×D43—22no—
672C2×C4×D43—22no—
673C2×C4×D43—22no—
674C2×C4×D43—22no—
675C2×C4×D43—22no—
676C2×C4×D43—22no—
677C2×C4×D43—22no—
678C2×C4×D43—22no—
679C2×C4×D43—22no—
680C2×C4×D43—22no—
681C2×C4×D43—22no—
682C2×C4×D43—22no—
683C2×C4×D43—22no—
684C2×C4×D43—22no—
685C2×C4×D43—22no—
686C2×C4×D43—22no—
687C2×C4×D43—22no—
688C2×C4×D43—22no—
689C2×C4×D43—22no—
690C2×C4×D43—22no—
691C2×C4×D43—22no—
692C2×C4×D43—22no—
693C2×C4×D43—22no—
694C2×C4×D43—22no—
695C2×C4×D43—22no—
696C2×C4×D43—22no—
697C2×C4×D43—22no—
698C2×C4×D43—22no—
699C2×C4×D43—22no—
700C2×C4×D43—416no—
701C2×C4×D43—416no—
702C2×C4×D43—41no—
703C2×C4×D43—41no—
704C2×C4×D43—41no—
705C2×C4×D43—41no—
706C2×C4×D43—41no—
707C2×C4×D43—41no—
708C2×C4×D43—416no—
709C2×C4×D43C2×D414yes—
710C2×C4×D43C2×D414yes—
711C2×C4×D43C2×D414yes—
712C2×C4×D43C2×D414yes—
713C2×C4×D43C2×D414yes—
714C4⋊C4×C43—22no—
715C4⋊C4×C43—22no—
716C4⋊C4×C43—22no—
717C4⋊C4×C43—41no—
718C22⋊C4×C43—22no—
719C22⋊C4×C43—22no—
720C22⋊C4×C43—22no—
721C22⋊C4×C43—22no—
722C22⋊C4×C43—22no—
723C22⋊C4×C43—22no—
724C22⋊C4×C43—22no—
725C22⋊C4×C43—22no—
726C22⋊C4×C43—22no—
727C22⋊C4×C43—22no—
728C22⋊C4×C43—22no—
729C22⋊C4×C43—22no—
730C22⋊C4×C43—41no—
731C22⋊C4×C43C2×D414yescomplemented
732C22⋊C4×C43C2×D414yescomplemented
733C42×C43—22no—
734C22⋊Dic43—22no—
735C22⋊Dic43—22no—
736C22⋊Dic43—22no—
737C22⋊Dic43—22no—
738C22⋊Dic43—22no—
739C22⋊Dic43—22no—
740C22⋊Dic43—22no—
741C22⋊Dic43—22no—
742C22⋊Dic43—22no—
743C22⋊Dic43—22no—
744C22⋊Dic43—22no—
745C22⋊Dic43—22no—
746C22⋊Dic43—41no—
747C22⋊Dic43C2×D414yescomplemented
748C22⋊Dic43C2×D414yescomplemented
749(C2×D43)⋊C4—22no—
750(C2×D43)⋊C4—22no—
751(C2×D43)⋊C4—22no—
752(C2×D43)⋊C4—22no—
753(C2×D43)⋊C4—22no—
754(C2×D43)⋊C4—22no—
755(C2×D43)⋊C4—22no—
756(C2×D43)⋊C4—22no—
757(C2×D43)⋊C4—22no—
758(C2×D43)⋊C4—22no—
759(C2×D43)⋊C4—22no—
760(C2×D43)⋊C4—22no—
761(C2×D43)⋊C4—22no—
762(C2×D43)⋊C4—22no—
763(C2×D43)⋊C4—22no—
764(C2×D43)⋊C4—22no—
765(C2×D43)⋊C4—22no—
766(C2×D43)⋊C4—22no—
767(C2×D43)⋊C4—22no—
768(C2×D43)⋊C4—22no—
769(C2×D43)⋊C4—22no—
770(C2×D43)⋊C4—22no—
771(C2×D43)⋊C4—22no—
772(C2×D43)⋊C4—22no—
773(C2×D43)⋊C4—41no—
774(C2×D43)⋊C4—41no—
775(C2×D43)⋊C4C2×D414yescomplemented
776(C2×D43)⋊C4C2×D414yescomplemented
777(C2×D43)⋊C4C2×D414yescomplemented
778(C2×D43)⋊C4C2×D414yescomplemented
779C4⋊Dic43—22no—
780C4⋊Dic43—22no—
781C4⋊Dic43—22no—
782C4⋊Dic43—41no—
783Dic43⋊C4—22no—
784Dic43⋊C4—22no—
785Dic43⋊C4—22no—
786Dic43⋊C4—22no—
787Dic43⋊C4—22no—
788Dic43⋊C4—22no—
789Dic43⋊C4—41no—
790Dic43⋊C4—41no—
791C4×Dic43—22no—
792C4×Dic43—22no—
793C4×Dic43—22no—
794C23×C43—21no—
795C23×C43—21no—
796C23×C43—21no—
797C23×C43—21no—
798C23×C43—28no—
799C23×C43—21no—
800C23×C43—21no—
801C23×C43—21no—
802C23×C43—21no—
803C23×C43—21no—
804C23×C43—21no—
805C23×C43—21no—
806C23×C43—21no—
807C23×C43—21no—
808C23×C43—21no—
809C23×C43—21no—
810C23×C43—21no—
811C23×C43—21no—
812C23×C43—21no—
813C23×C43—21no—
814C23×C43—21no—
815C23×C43—21no—
816C23×C43—21no—
817C23×C43—21no—
818C23×C43—21no—
819C23×C43—21no—
820C23×C43—21no—
821C23×C43—21no—
822C23×C43—21no—
823C23×C43—21no—
824C23×C43—44no—
825C23×C43—44no—
826C23×C43—44no—
827C23×C43—44no—
828C23×C43—44no—
829C23×C43—44no—
830C23×C43C22×D412yes—
831C23×C43C22×D412yes—
832C23×C43C22×D412yes—
833C23×C43C22×D412yes—
834C23×C43C2×#4112yes—
835C23×C43C2×#4112yes—
836C23×C43C2511yescharacteristic
837C22×D43—21no—
838C22×D43—21no—
839C22×D43—21no—
840C22×D43—21no—
841C22×D43—28no—
842C22×D43—28no—
843C22×D43—28no—
844C22×D43—28no—
845C22×D43—28no—
846C22×D43—28no—
847C22×D43—28no—
848C22×D43—28no—
849C22×D43—28no—
850C22×D43—21no—
851C22×D43—21no—
852C22×D43—21no—
853C22×D43—21no—
854C22×D43—21no—
855C22×D43—21no—
856C22×D43—21no—
857C22×D43—21no—
858C22×D43—21no—
859C22×D43—21no—
860C22×D43—21no—
861C22×D43—21no—
862C22×D43—21no—
863C22×D43—21no—
864C22×D43—21no—
865C22×D43—21no—
866C22×D43—21no—
867C22×D43—21no—
868C22×D43—28no—
869C22×D43—28no—
870C22×D43—28no—
871C22×D43—28no—
872C22×D43—28no—
873C22×D43—28no—
874C22×D43—28no—
875C22×D43—28no—
876C22×D43—28no—
877C22×D43—21no—
878C22×D43—21no—
879C22×D43—21no—
880C22×D43—21no—
881C22×D43—21no—
882C22×D43—21no—
883C22×D43—21no—
884C22×D43—44no—
885C22×D43—44no—
886C22×D43—44no—
887C22×D43—44no—
888C22×D43—44no—
889C22×D43—44no—
890C22×D43—44no—
891C22×D43—44no—
892C22×D43—44no—
893C22×D43—44no—
894C22×D43—44no—
895C22×D43—44no—
896C22×D43—44no—
897C22×D43—44no—
898C22×D43—4128no—
899C22×D43—44no—
900C22×D43—44no—
901C22×D43—44no—
902C22×D43—44no—
903C22×D43—44no—
904C22×D43—44no—
905C22×D43—44no—
906C22×D43—44no—
907C22×D43—44no—
908C22×D43—44no—
909C22×D43—44no—
910C22×D43—44no—
911C22×D43—44no—
912C22×D43—44no—
913C22×D43—44no—
914C22×D43—44no—
915C22×D43—44no—
916C22×D43—44no—
917C22×D43—44no—
918C22×D43—44no—
919C22×D43—44no—
920C22×D43—44no—
921C22×D43—44no—
922C22×D43#121116yescomplemented
923C22×D43C22×D412yes—
924C22×D43C22×D412yes—
925C22×D43C22×D412yes—
926C22×D43C22×D412yes—
927C22×D43C22×D412yes—
928C22×D43C22×D412yes—
929C22×D43C22×D412yes—
930C22×D43C2×#4112yes—
931C22×D43C2×#4112yes—
932C22×D43C2×#4112yes—
933C22×D43C2×#4112yes—
934C22×D43H(5,𝔽2)12yes—
935C22×D43H(5,𝔽2)12yes—
936D4×C43—28no—
937D4×C43—44no—
938D4×C43—44no—
939D4×C43—44no—
940D4×C43—44no—
941D4×C43—44no—
942D4×C43—44no—
943C2×C4×C43—21no—
944C2×C4×C43—21no—
945C2×C4×C43—21no—
946C2×C4×C43—21no—
947C2×C4×C43—21no—
948C2×C4×C43—21no—
949C2×C4×C43—21no—
950C2×C4×C43—21no—
951C2×C4×C43—21no—
952C2×C4×C43—21no—
953C2×C4×C43—21no—
954C2×C4×C43—21no—
955C2×C4×C43—21no—
956C2×C4×C43—21no—
957C2×C4×C43—21no—
958C2×C4×C43—21no—
959C2×C4×C43—21no—
960C2×C4×C43—21no—
961C2×C4×C43—21no—
962C2×C4×C43—21no—
963C2×C4×C43—21no—
964C2×C4×C43—21no—
965C2×C4×C43—21no—
966C2×C4×C43—21no—
967C2×C4×C43—21no—
968C2×C4×C43—44no—
969C2×C4×C43—44no—
970C2×C4×C43—44no—
971C2×C4×C43C22×D412yes—
972C2×C4×C43C22×D412yes—
973C2×C4×C43C22×D412yes—
974C2×C4×C43C22×D412yes—
975C2×C4×C43C22×D412yes—
976C22⋊D43—28no—
977C22⋊D43—28no—
978C22⋊D43—44no—
979C22⋊D43—44no—
980C22⋊D43—44no—
981C22⋊D43—44no—
982C22⋊D43—44no—
983C22⋊D43—44no—
984C22⋊D43—44no—
985C22⋊D43—44no—
986C22⋊D43—44no—
987C22⋊D43—44no—
988C22⋊D43—44no—
989C22⋊D43—44no—
990C2×Dic43—21no—
991C2×Dic43—21no—
992C2×Dic43—21no—
993C2×Dic43—21no—
994C2×Dic43—21no—
995C2×Dic43—21no—
996C2×Dic43—21no—
997C2×Dic43—21no—
998C2×Dic43—21no—
999C2×Dic43—21no—
1000C2×Dic43—21no—
1001C2×Dic43—21no—
1002C2×Dic43—21no—
1003C2×Dic43—21no—
1004C2×Dic43—21no—
1005C2×Dic43—21no—
1006C2×Dic43—21no—
1007C2×Dic43—21no—
1008C2×Dic43—21no—
1009C2×Dic43—21no—
1010C2×Dic43—21no—
1011C2×Dic43—21no—
1012C2×Dic43—21no—
1013C2×Dic43—21no—
1014C2×Dic43—21no—
1015C2×Dic43—44no—
1016C2×Dic43—44no—
1017C2×Dic43—44no—
1018C2×Dic43C22×D412yes—
1019C2×Dic43C22×D412yes—
1020C2×Dic43C22×D412yes—
1021C2×Dic43C22×D412yes—
1022C2×Dic43C22×D412yes—
1023D172—28no—
1024D172—44no—
1025D172—44no—
1026D172—44no—
1027D172—44no—
1028D172—44no—
1029D172—44no—
1030C4×D43—28no—
1031C4×D43—28no—
1032C4×D43—28no—
1033C4×D43—28no—
1034C4×D43—28no—
1035C4×D43—44no—
1036C4×D43—44no—
1037C4×D43—44no—
1038C4×D43—44no—
1039C4×D43—44no—
1040C4×D43—44no—
1041C4×D43—44no—
1042C4×D43—44no—
1043C4×D43—44no—
1044C4×D43—44no—
1045C4×D43—44no—
1046C2×#2424—431nomaximal, Sylow
1047C22×C43—22no—
1048C22×C43—22no—
1049C22×C43—22no—
1050C22×C43—22no—
1051C22×C43—22no—
1052C22×C43—22no—
1053C22×C43—22no—
1054C22×C43—22no—
1055C22×C43—22no—
1056C22×C43—22no—
1057C22×C43—22no—
1058C22×C43—22no—
1059C22×C43—22no—
1060C22×C43—22no—
1061C22×C43—22no—
1062C22×C43—416no—
1063C22×C43—41no—
1064C22×C43—41no—
1065C22×C43—41no—
1066C22×C43—41no—
1067C22×C43—41no—
1068C22×C43—41no—
1069C22×C43—41no—
1070C22×C43—41no—
1071C22×C43—41no—
1072C22×C43—41no—
1073C22×C43—41no—
1074C22×C43—41no—
1075C22×C43—41no—
1076C22×C43—41no—
1077C22×C43—41no—
1078C22×C43—41no—
1079C22×C43—41no—
1080C22×C43—41no—
1081C22×C43—41no—
1082C22×C43C2×#12114yescomplemented
1083C22×C43C23×D411yescharacteristic
1084C22×C43C23×D411yescharacteristic
1085C22×C43C23×D411yescharacteristic
1086C22×C43C22×#4111yescharacteristic
1087C22×C43C22×#4111yescharacteristic
1088C22×C43C2×H(5,𝔽2)11yescharacteristic
1089C22×C43C2×H(5,𝔽2)11yescharacteristic
1090C2×D43—22no—
1091C2×D43—22no—
1092C2×D43—22no—
1093C2×D43—22no—
1094C2×D43—22no—
1095C2×D43—22no—
1096C2×D43—232no—
1097C2×D43—22no—
1098C2×D43—22no—
1099C2×D43—22no—
1100C2×D43—22no—
1101C2×D43—22no—
1102C2×D43—22no—
1103C2×D43—22no—
1104C2×D43—22no—
1105C2×D43—22no—
1106C2×D43—416no—
1107C2×D43—416no—
1108C2×D43—416no—
1109C2×D43—41no—
1110C2×D43—41no—
1111C2×D43—41no—
1112C2×D43—41no—
1113C2×D43—41no—
1114C2×D43—41no—
1115C2×D43—41no—
1116C2×D43—41no—
1117C2×D43—41no—
1118C2×D43—41no—
1119C2×D43—41no—
1120C2×D43—41no—
1121C2×D43—416no—
1122C2×D43—416no—
1123C2×D43—416no—
1124C2×D43—41no—
1125C2×D43—41no—
1126C2×D43—41no—
1127C2×D43—41no—
1128C2×D43—41no—
1129C2×D43—41no—
1130C2×D43—41no—
1131C2×D43—88no—
1132C2×D43C2×#12114yes—
1133C2×D43C2×#12114yescomplemented
1134C2×D43#52514yes—
1135C2×D43#53814yes—
1136C2×D43D4214yes—
1137C2×D43D4214yes—
1138C2×D43#54614yes—
1139C2×D43#54614yes—
1140C4×C43—22no—
1141C4×C43—22no—
1142C4×C43—22no—
1143C4×C43—22no—
1144C4×C43—22no—
1145C4×C43—41no—
1146C4×C43—41no—
1147C4×C43—41no—
1148C4×C43—41no—
1149C4×C43—41no—
1150Dic43—22no—
1151Dic43—22no—
1152Dic43—22no—
1153Dic43—22no—
1154Dic43—22no—
1155Dic43—41no—
1156Dic43—41no—
1157Dic43—41no—
1158Dic43—41no—
1159Dic43—41no—
1160C22×#121—431no—
1161C22×#121—431no—
1162C22×#120—431no—
1163C22×#120—431no—
1164C22×C4×D4—431no—
1165C23×C22⋊C4—431no—
1166#2424—431no—
1167#2424—431no—
1168#2424—431no—
1169#2424—431no—
1170#2424—431no—
1171#2424—431no—
1172#2424—431no—
1173#2424—431no—
1174#2424—431no—
1175#2424—431no—
1176#2424—431no—
1177#2424—431no—
1178#2424—431no—
1179#2424—431no—
1180#2424—431no—
1181#2424D4311yescharacteristic, direct product factor
1182C2×#396—431no—
1183C2×#394—431no—
1184C2×#394—431no—
1185C2×#392—431no—
1186C2×#390—431no—
1187C2×#388—431no—
1188C2×#386—431no—
1189C2×#386—431no—
1190C2×#385—431no—
1191C2×C43—24no—
1192C2×C43—42no—
1193C2×C43—42no—
1194C2×C43—42no—
1195C2×C43—81no—
1196C2×C43C22×#12111yescharacteristic
1197C2×C43C2×#52511yescharacteristic
1198C2×C43C2×#53811yescharacteristic
1199C2×C43C2×D4211yescharacteristic
1200C2×C43C2×D4211yescharacteristic
1201C2×C43C2×#54611yescharacteristic
1202C2×C43C2×#54611yescharacteristic
1203D43—24no—
1204D43—42no—
1205D43—42no—
1206D43—42no—
1207D43—81no—
1208D43#242418yesdirect product factor
1209C26—431no—
1210C23×D4—431no—
1211C23×D4—431no—
1212C23×D4—431no—
1213C23×D4—431no—
1214C23×D4—431no—
1215C23×D4—431no—
1216C23×D4—431no—
1217C24×C4—431no—
1218C24×C4—431no—
1219C24×C4—431no—
1220C2×#121—431no—
1221C2×#121—431no—
1222C2×#121—431no—
1223C2×#121—431no—
1224C2×#121—431no—
1225C2×#121—431no—
1226C2×#121—431no—
1227C2×#121—431no—
1228C2×#121—431no—
1229C2×#121—431no—
1230C2×#121—431no—
1231C2×#121—431no—
1232C2×#121—431no—
1233C2×#121—431no—
1234C2×#121—868no—
1235C2×#121—868no—
1236C2×#121C2×D4311yescharacteristic, complemented
1237C2×#121C2×D4311yescharacteristic, complemented
1238C2×#120—431no—
1239C2×#120—431no—
1240C2×#120—431no—
1241C2×#120—431no—
1242C2×#120—431no—
1243C2×#120—431no—
1244C2×#120—431no—
1245C2×#120—431no—
1246C2×#120—431no—
1247C2×#120—431no—
1248C2×#120—431no—
1249C2×#120—431no—
1250C2×#120—431no—
1251C2×#120—431no—
1252C2×#120—868no—
1253C2×#120—868no—
1254C2×#120C2×D4311yescharacteristic, complemented
1255C2×#120C2×D4311yescharacteristic, complemented
1256C2×C4×D4—431no—
1257C2×C4×D4—431no—
1258C2×C4×D4—431no—
1259C2×C4×D4—431no—
1260C2×C4×D4—431no—
1261C2×C4×D4—431no—
1262C2×C4×D4—431no—
1263C2×C4×D4—868no—
1264C2×C4×D4C2×D4311yescharacteristic, complemented
1265C22×C4⋊C4—431no—
1266C22×C4⋊C4—431no—
1267C22×C4⋊C4—431no—
1268C22×C4⋊C4—431no—
1269C22×C22⋊C4—431no—
1270C22×C22⋊C4—431no—
1271C22×C22⋊C4—431no—
1272C22×C22⋊C4—431no—
1273C22×C22⋊C4—431no—
1274C22×C22⋊C4—431no—
1275C22×C22⋊C4—431no—
1276C22×C22⋊C4—431no—
1277C22×C22⋊C4—431no—
1278C22×C22⋊C4—431no—
1279C22×C22⋊C4—431no—
1280C22×C22⋊C4—431no—
1281C22×C22⋊C4—431no—
1282C22×C22⋊C4—431no—
1283C22×C22⋊C4—431no—
1284C22×C22⋊C4—431no—
1285C22×C22⋊C4—431no—
1286C22×C22⋊C4—431no—
1287C22×C22⋊C4—431no—
1288C22×C22⋊C4—431no—
1289C22×C22⋊C4—431no—
1290C22×C22⋊C4—431no—
1291C22×C22⋊C4—868no—
1292C22×C22⋊C4C2×D4311yescharacteristic, complemented
1293C22×C42—431no—
1294#396—431no—
1295#396—431no—
1296#396—431no—
1297#396—431no—
1298#396—431no—
1299#396—431no—
1300#396—431no—
1301#396C2×D4311yescharacteristic, complemented
1302#394—431no—
1303#394—431no—
1304#394—431no—
1305#394—431no—
1306#394—431no—
1307#394—431no—
1308#394—431no—
1309#394—431no—
1310#394—431no—
1311#394—431no—
1312#394—431no—
1313#394—431no—
1314#394—431no—
1315#394—431no—
1316#394C2×D4311yescharacteristic, complemented
1317#394C2×D4311yescharacteristic, complemented
1318#392—431no—
1319#392—431no—
1320#392—431no—
1321#392—431no—
1322#392—431no—
1323#392—431no—
1324#392—431no—
1325#392C2×D4311yescharacteristic, complemented
1326#390—431no—
1327#390—431no—
1328#390—431no—
1329#390—431no—
1330#390—431no—
1331#390—431no—
1332#390—431no—
1333#390C2×D4311yescharacteristic, complemented
1334#388—431no—
1335#388—431no—
1336#388—431no—
1337#388—431no—
1338#388—431no—
1339#388—431no—
1340#388—431no—
1341#388C2×D4311yescharacteristic, complemented
1342#386—431no—
1343#386—431no—
1344#386—431no—
1345#386—431no—
1346#386—431no—
1347#386—431no—
1348#386—431no—
1349#386—431no—
1350#386—431no—
1351#386—431no—
1352#386—431no—
1353#386—431no—
1354#386—431no—
1355#386—431no—
1356#386C2×D4311yescharacteristic, complemented
1357#386C2×D4311yescharacteristic, complemented
1358#385—431no—
1359#385—431no—
1360#385—431no—
1361#385—431no—
1362#385—431no—
1363#385—431no—
1364#385—431no—
1365#385C2×D4311yescharacteristic, complemented
1366C2×#95—431no—
1367C2×#95—431no—
1368C2×#95—431no—
1369C2×#95—431no—
1370C43C2×#242411yescharacteristic, complemented, Sylow
1371C25—431no—
1372C25—431no—
1373C25—431no—
1374C25—431no—
1375C25—431no—
1376C25—431no—
1377C25—431no—
1378C25—431no—
1379C25—864no—
1380C25—864no—
1381C25—864no—
1382C25—864no—
1383C25—864no—
1384C25—1722no—
1385C25—1722no—
1386C25C22×D4311yescharacteristic
1387C22×D4—431no—
1388C22×D4—431no—
1389C22×D4—438no—
1390C22×D4—431no—
1391C22×D4—431no—
1392C22×D4—431no—
1393C22×D4—431no—
1394C22×D4—431no—
1395C22×D4—431no—
1396C22×D4—431no—
1397C22×D4—431no—
1398C22×D4—431no—
1399C22×D4—431no—
1400C22×D4—431no—
1401C22×D4—431no—
1402C22×D4—431no—
1403C22×D4—431no—
1404C22×D4—431no—
1405C22×D4—431no—
1406C22×D4—431no—
1407C22×D4—431no—
1408C22×D4—431no—
1409C22×D4—864no—
1410C22×D4—864no—
1411C22×D4—864no—
1412C22×D4—864no—
1413C22×D4—864no—
1414C22×D4—864no—
1415C22×D4—864no—
1416C22×D4—864no—
1417C22×D4—864no—
1418C22×D4—864no—
1419C22×D4—864no—
1420C22×D4—864no—
1421C22×D4—864no—
1422C22×D4—864no—
1423C22×D4—864no—
1424C22×D4—1722no—
1425C22×D4—1722no—
1426C22×D4—1722no—
1427C22×D4—1722no—
1428C22×D4—1722no—
1429C22×D4C22×D4311yescharacteristic
1430C22×D4C22×D4311yescharacteristic
1431C22×D4C22×D4311yescharacteristic
1432C22×D4C22×D4311yescharacteristic
1433C22×D4C22×D4311yescharacteristic
1434C22×D4C22×D4311yescharacteristic
1435C22×D4C22×D4311yescharacteristic, complemented
1436C23×C4—431no—
1437C23×C4—431no—
1438C23×C4—431no—
1439C23×C4—431no—
1440C23×C4—431no—
1441C23×C4—431no—
1442C23×C4—431no—
1443C23×C4—431no—
1444C23×C4—431no—
1445C23×C4—431no—
1446C23×C4—431no—
1447C23×C4—431no—
1448C23×C4—431no—
1449C23×C4—431no—
1450C23×C4—431no—
1451C23×C4—431no—
1452C23×C4—431no—
1453C23×C4—431no—
1454C23×C4—431no—
1455C23×C4—864no—
1456C23×C4—864no—
1457C23×C4—864no—
1458C23×C4—864no—
1459C23×C4—864no—
1460C23×C4—864no—
1461C23×C4—1722no—
1462C23×C4—1722no—
1463C23×C4—1722no—
1464C23×C4C22×D4311yescharacteristic
1465C23×C4C22×D4311yescharacteristic
1466C23×C4C22×D4311yescharacteristic, complemented
1467#121—24no—
1468#121—24no—
1469#121—864no—
1470#121—864no—
1471#121—864no—
1472#121—864no—
1473#121—864no—
1474#121—864no—
1475#121—864no—
1476#121—864no—
1477#121—864no—
1478#121—864no—
1479#121—864no—
1480#121—864no—
1481#121—864no—
1482#121—864no—
1483#120—24no—
1484#120—24no—
1485#120—864no—
1486#120—864no—
1487#120—864no—
1488#120—864no—
1489#120—864no—
1490#120—864no—
1491#120—864no—
1492#120—864no—
1493#120—864no—
1494#120—864no—
1495#120—864no—
1496#120—864no—
1497#120—864no—
1498#120—864no—
1499C4×D4—24no—
1500C4×D4—864no—
1501C4×D4—864no—
1502C4×D4—864no—
1503C4×D4—864no—
1504C4×D4—864no—
1505C4×D4—864no—
1506C4×D4—864no—
1507C2×C4⋊C4—431no—
1508C2×C4⋊C4—431no—
1509C2×C4⋊C4—431no—
1510C2×C4⋊C4—431no—
1511C2×C4⋊C4—431no—
1512C2×C4⋊C4—431no—
1513C2×C4⋊C4—431no—
1514C2×C4⋊C4—431no—
1515C2×C4⋊C4—431no—
1516C2×C4⋊C4—431no—
1517C2×C4⋊C4—431no—
1518C2×C4⋊C4—431no—
1519C2×C4⋊C4—864no—
1520C2×C4⋊C4—864no—
1521C2×C4⋊C4—864no—
1522C2×C4⋊C4—1722no—
1523C2×C4⋊C4C22×D4311yescharacteristic, complemented
1524C2×C4⋊C4C22×D4311yescharacteristic, complemented
1525C2×C4⋊C4C22×D4311yescharacteristic, complemented
1526C2×C4⋊C4C22×D4311yescharacteristic, complemented
1527C2×C22⋊C4—24no—
1528C2×C22⋊C4—431no—
1529C2×C22⋊C4—431no—
1530C2×C22⋊C4—431no—
1531C2×C22⋊C4—431no—
1532C2×C22⋊C4—431no—
1533C2×C22⋊C4—431no—
1534C2×C22⋊C4—438no—
1535C2×C22⋊C4—438no—
1536C2×C22⋊C4—431no—
1537C2×C22⋊C4—431no—
1538C2×C22⋊C4—431no—
1539C2×C22⋊C4—431no—
1540C2×C22⋊C4—431no—
1541C2×C22⋊C4—431no—
1542C2×C22⋊C4—431no—
1543C2×C22⋊C4—431no—
1544C2×C22⋊C4—431no—
1545C2×C22⋊C4—431no—
1546C2×C22⋊C4—431no—
1547C2×C22⋊C4—431no—
1548C2×C22⋊C4—431no—
1549C2×C22⋊C4—431no—
1550C2×C22⋊C4—431no—
1551C2×C22⋊C4—431no—
1552C2×C22⋊C4—431no—
1553C2×C22⋊C4—431no—
1554C2×C22⋊C4—431no—
1555C2×C22⋊C4—431no—
1556C2×C22⋊C4—431no—
1557C2×C22⋊C4—431no—
1558C2×C22⋊C4—431no—
1559C2×C22⋊C4—431no—
1560C2×C22⋊C4—431no—
1561C2×C22⋊C4—431no—
1562C2×C22⋊C4—431no—
1563C2×C22⋊C4—431no—
1564C2×C22⋊C4—431no—
1565C2×C22⋊C4—431no—
1566C2×C22⋊C4—431no—
1567C2×C22⋊C4—431no—
1568C2×C22⋊C4—431no—
1569C2×C22⋊C4—431no—
1570C2×C22⋊C4—431no—
1571C2×C22⋊C4—431no—
1572C2×C22⋊C4—431no—
1573C2×C22⋊C4—431no—
1574C2×C22⋊C4—431no—
1575C2×C22⋊C4—864no—
1576C2×C22⋊C4—864no—
1577C2×C22⋊C4—864no—
1578C2×C22⋊C4—864no—
1579C2×C22⋊C4—864no—
1580C2×C22⋊C4—864no—
1581C2×C22⋊C4—864no—
1582C2×C22⋊C4—864no—
1583C2×C22⋊C4—864no—
1584C2×C22⋊C4—864no—
1585C2×C22⋊C4—864no—
1586C2×C22⋊C4—864no—
1587C2×C22⋊C4—864no—
1588C2×C22⋊C4—864no—
1589C2×C22⋊C4—864no—
1590C2×C22⋊C4—864no—
1591C2×C22⋊C4—864no—
1592C2×C22⋊C4—864no—
1593C2×C22⋊C4—864no—
1594C2×C22⋊C4—1722no—
1595C2×C22⋊C4C22×D4311yescharacteristic
1596C2×C22⋊C4C22×D4311yescharacteristic
1597C2×C22⋊C4C22×D4311yescharacteristic
1598C2×C22⋊C4C22×D4311yescharacteristic
1599C2×C22⋊C4C22×D4311yescharacteristic
1600C2×C22⋊C4C22×D4311yescharacteristic
1601C2×C22⋊C4C22×D4311yescharacteristic
1602C2×C22⋊C4C22×D4311yescharacteristic
1603C2×C22⋊C4C22×D4311yescharacteristic
1604C2×C22⋊C4C22×D4311yescharacteristic
1605C2×C22⋊C4C22×D4311yescharacteristic, complemented
1606C2×C22⋊C4C22×D4311yescharacteristic, complemented
1607C2×C22⋊C4C22×D4311yescharacteristic, complemented
1608C2×C22⋊C4C22×D4311yescharacteristic, complemented
1609C2×C22⋊C4C22×D4311yescharacteristic, complemented
1610C2×C42—431no—
1611C2×C42—431no—
1612C2×C42—431no—
1613C2×C42—864no—
1614C2×C42C22×D4311yescharacteristic, complemented
1615#95—431no—
1616#95—431no—
1617#95—431no—
1618#95—431no—
1619#95—431no—
1620#95—431no—
1621#95—431no—
1622#95—431no—
1623#95—431no—
1624#95—431no—
1625#95—431no—
1626#95—431no—
1627#95C22×D4311yescharacteristic, complemented
1628#95C22×D4311yescharacteristic, complemented
1629#95C22×D4311yescharacteristic, complemented
1630#95C22×D4311yescharacteristic, complemented
1631C24—22no—
1632C24—22no—
1633C24—22no—
1634C24—22no—
1635C24—22no—
1636C24—41no—
1637C24—41no—
1638C24—431no—
1639C24—434no—
1640C24—434no—
1641C24—434no—
1642C24—431no—
1643C24—434no—
1644C24—434no—
1645C24—434no—
1646C24—431no—
1647C24—431no—
1648C24—431no—
1649C24—431no—
1650C24—862no—
1651C24—862no—
1652C24—862no—
1653C24—862no—
1654C24—862no—
1655C24—862no—
1656C24—862no—
1657C24—862no—
1658C24—862no—
1659C24—862no—
1660C24—862no—
1661C24—862no—
1662C24—862no—
1663C24—862no—
1664C24—862no—
1665C24—862no—
1666C24—862no—
1667C24—862no—
1668C24—862no—
1669C24—862no—
1670C24—862no—
1671C24—862no—
1672C24—862no—
1673C24—862no—
1674C24—862no—
1675C24—862no—
1676C24—862no—
1677C24—862no—
1678C24—862no—
1679C24—862no—
1680C24—862no—
1681C24—862no—
1682C24—862no—
1683C24—862no—
1684C24—862no—
1685C24—862no—
1686C24—862no—
1687C24—862no—
1688C24—862no—
1689C24—8632no—
1690C24—862no—
1691C24—862no—
1692C24—862no—
1693C24—862no—
1694C24—862no—
1695C24—1721no—
1696C24—1721no—
1697C24—1721no—
1698C24—1721no—
1699C24—1721no—
1700C24—1721no—
1701C24—17216no—
1702C24—17216no—
1703C24—17216no—
1704C24—17216no—
1705C24—17216no—
1706C24—17216no—
1707C24C23×D4311yescharacteristic
1708C24C23×D4311yescharacteristic
1709C24C23×D4311yescharacteristic
1710C24C23×D4311yescharacteristic
1711C24C23×D4311yescharacteristic
1712C2×D4—22no—
1713C2×D4—22no—
1714C2×D4—22no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—22no—
1718C2×D4—22no—
1719C2×D4—22no—
1720C2×D4—22no—
1721C2×D4—22no—
1722C2×D4—22no—
1723C2×D4—22no—
1724C2×D4—22no—
1725C2×D4—22no—
1726C2×D4—22no—
1727C2×D4—41no—
1728C2×D4—41no—
1729C2×D4—41no—
1730C2×D4—41no—
1731C2×D4—41no—
1732C2×D4—434no—
1733C2×D4—434no—
1734C2×D4—434no—
1735C2×D4—862no—
1736C2×D4—862no—
1737C2×D4—862no—
1738C2×D4—862no—
1739C2×D4—862no—
1740C2×D4—862no—
1741C2×D4—862no—
1742C2×D4—862no—
1743C2×D4—862no—
1744C2×D4—862no—
1745C2×D4—862no—
1746C2×D4—862no—
1747C2×D4—862no—
1748C2×D4—862no—
1749C2×D4—862no—
1750C2×D4—862no—
1751C2×D4—862no—
1752C2×D4—862no—
1753C2×D4—8632no—
1754C2×D4—862no—
1755C2×D4—862no—
1756C2×D4—862no—
1757C2×D4—862no—
1758C2×D4—862no—
1759C2×D4—862no—
1760C2×D4—862no—
1761C2×D4—862no—
1762C2×D4—862no—
1763C2×D4—862no—
1764C2×D4—862no—
1765C2×D4—862no—
1766C2×D4—862no—
1767C2×D4—862no—
1768C2×D4—862no—
1769C2×D4—862no—
1770C2×D4—862no—
1771C2×D4—862no—
1772C2×D4—862no—
1773C2×D4—862no—
1774C2×D4—862no—
1775C2×D4—862no—
1776C2×D4—862no—
1777C2×D4—862no—
1778C2×D4—862no—
1779C2×D4—862no—
1780C2×D4—862no—
1781C2×D4—1721no—
1782C2×D4—1721no—
1783C2×D4—1721no—
1784C2×D4—1721no—
1785C2×D4—1721no—
1786C2×D4—17216no—
1787C2×D4—17216no—
1788C2×D4—17216no—
1789C2×D4—1721no—
1790C2×D4—1721no—
1791C2×D4—1721no—
1792C2×D4—1721no—
1793C2×D4—1721no—
1794C2×D4—1721no—
1795C2×D4—1721no—
1796C2×D4—1721no—
1797C2×D4—1721no—
1798C2×D4—1721no—
1799C2×D4—17216no—
1800C2×D4—17216no—
1801C2×D4—17216no—
1802C2×D4D4×D4314yescomplemented
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—41no—
1810C22×C4—41no—
1811C22×C4—41no—
1812C22×C4—431no—
1813C22×C4—431no—
1814C22×C4—431no—
1815C22×C4—431no—
1816C22×C4—431no—
1817C22×C4—434no—
1818C22×C4—434no—
1819C22×C4—434no—
1820C22×C4—434no—
1821C22×C4—434no—
1822C22×C4—431no—
1823C22×C4—431no—
1824C22×C4—431no—
1825C22×C4—431no—
1826C22×C4—431no—
1827C22×C4—862no—
1828C22×C4—862no—
1829C22×C4—862no—
1830C22×C4—862no—
1831C22×C4—862no—
1832C22×C4—862no—
1833C22×C4—862no—
1834C22×C4—862no—
1835C22×C4—862no—
1836C22×C4—862no—
1837C22×C4—862no—
1838C22×C4—862no—
1839C22×C4—862no—
1840C22×C4—862no—
1841C22×C4—862no—
1842C22×C4—862no—
1843C22×C4—862no—
1844C22×C4—862no—
1845C22×C4—862no—
1846C22×C4—862no—
1847C22×C4—862no—
1848C22×C4—862no—
1849C22×C4—862no—
1850C22×C4—862no—
1851C22×C4—862no—
1852C22×C4—862no—
1853C22×C4—862no—
1854C22×C4—862no—
1855C22×C4—862no—
1856C22×C4—862no—
1857C22×C4—862no—
1858C22×C4—862no—
1859C22×C4—862no—
1860C22×C4—862no—
1861C22×C4—862no—
1862C22×C4—862no—
1863C22×C4—862no—
1864C22×C4—862no—
1865C22×C4—862no—
1866C22×C4—862no—
1867C22×C4—862no—
1868C22×C4—862no—
1869C22×C4—862no—
1870C22×C4—1721no—
1871C22×C4—1721no—
1872C22×C4—1721no—
1873C22×C4—1721no—
1874C22×C4—1721no—
1875C22×C4—1721no—
1876C22×C4—17216no—
1877C22×C4—17216no—
1878C22×C4—17216no—
1879C22×C4—1721no—
1880C22×C4—1721no—
1881C22×C4—1721no—
1882C22×C4C23×D4311yescharacteristic
1883C22×C4C23×D4311yescharacteristic
1884C22×C4C23×D4311yescharacteristic
1885C22×C4C23×D4311yescharacteristic
1886C22×C4C23×D4311yescharacteristic
1887C22×C4C23×D4311yescharacteristic
1888C22×C4C23×D4311yescharacteristic
1889C22×C4C23×D4311yescharacteristic
1890C22×C4C23×D4311yescharacteristic
1891C22×C4C23×D4311yescharacteristic
1892C4⋊C4—22no—
1893C4⋊C4—22no—
1894C4⋊C4—22no—
1895C4⋊C4—41no—
1896C4⋊C4—862no—
1897C4⋊C4—862no—
1898C4⋊C4—862no—
1899C4⋊C4—862no—
1900C4⋊C4—862no—
1901C4⋊C4—862no—
1902C4⋊C4—862no—
1903C4⋊C4—862no—
1904C4⋊C4—862no—
1905C4⋊C4—1721no—
1906C4⋊C4—1721no—
1907C4⋊C4—1721no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—41no—
1921C22⋊C4—434no—
1922C22⋊C4—434no—
1923C22⋊C4—434no—
1924C22⋊C4—434no—
1925C22⋊C4—434no—
1926C22⋊C4—434no—
1927C22⋊C4—862no—
1928C22⋊C4—862no—
1929C22⋊C4—862no—
1930C22⋊C4—862no—
1931C22⋊C4—862no—
1932C22⋊C4—862no—
1933C22⋊C4—862no—
1934C22⋊C4—862no—
1935C22⋊C4—862no—
1936C22⋊C4—862no—
1937C22⋊C4—862no—
1938C22⋊C4—862no—
1939C22⋊C4—862no—
1940C22⋊C4—862no—
1941C22⋊C4—862no—
1942C22⋊C4—862no—
1943C22⋊C4—862no—
1944C22⋊C4—862no—
1945C22⋊C4—862no—
1946C22⋊C4—862no—
1947C22⋊C4—862no—
1948C22⋊C4—862no—
1949C22⋊C4—862no—
1950C22⋊C4—862no—
1951C22⋊C4—862no—
1952C22⋊C4—862no—
1953C22⋊C4—862no—
1954C22⋊C4—862no—
1955C22⋊C4—862no—
1956C22⋊C4—862no—
1957C22⋊C4—862no—
1958C22⋊C4—862no—
1959C22⋊C4—862no—
1960C22⋊C4—862no—
1961C22⋊C4—862no—
1962C22⋊C4—862no—
1963C22⋊C4—1721no—
1964C22⋊C4—1721no—
1965C22⋊C4—1721no—
1966C22⋊C4D4×D4314yescomplemented
1967C22⋊C4D4×D4314yescomplemented
1968C42—22no—
1969C42—862no—
1970C42—862no—
1971C42—862no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—21no—
1976C23—28no—
1977C23—21no—
1978C23—21no—
1979C23—21no—
1980C23—21no—
1981C23—21no—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—44no—
2003C23—44no—
2004C23—44no—
2005C23—44no—
2006C23—44no—
2007C23—44no—
2008C23—432no—
2009C23—432no—
2010C23—432no—
2011C23—432no—
2012C23—432no—
2013C23—432no—
2014C23—432no—
2015C23—4316no—
2016C23—432no—
2017C23—432no—
2018C23—432no—
2019C23—432no—
2020C23—432no—
2021C23—432no—
2022C23—868no—
2023C23—868no—
2024C23—868no—
2025C23—868no—
2026C23—868no—
2027C23—868no—
2028C23—868no—
2029C23—868no—
2030C23—868no—
2031C23—868no—
2032C23—868no—
2033C23—868no—
2034C23—868no—
2035C23—868no—
2036C23—868no—
2037C23—868no—
2038C23—868no—
2039C23—868no—
2040C23—861no—
2041C23—861no—
2042C23—861no—
2043C23—861no—
2044C23—861no—
2045C23—861no—
2046C23—861no—
2047C23—861no—
2048C23—861no—
2049C23—861no—
2050C23—861no—
2051C23—861no—
2052C23—861no—
2053C23—861no—
2054C23—861no—
2055C23—861no—
2056C23—861no—
2057C23—861no—
2058C23—861no—
2059C23—861no—
2060C23—861no—
2061C23—861no—
2062C23—861no—
2063C23—861no—
2064C23—861no—
2065C23—861no—
2066C23—861no—
2067C23—861no—
2068C23—861no—
2069C23—1724no—
2070C23—1724no—
2071C23—1724no—
2072C23—1724no—
2073C23—1724no—
2074C23—1724no—
2075C23—1724no—
2076C23—1724no—
2077C23—1724no—
2078C23—1724no—
2079C23—1724no—
2080C23—1724no—
2081C23—1724no—
2082C23—1724no—
2083C23—1724no—
2084C23—1724no—
2085C23—1724no—
2086C23—1724no—
2087C23—1724no—
2088C23—1724no—
2089C23—1724no—
2090C23—1724no—
2091C23—1724no—
2092C23—1724no—
2093C23—1724no—
2094C23—1724no—
2095C23—1724no—
2096C23—1724no—
2097C23—1724no—
2098C23—1724no—
2099C23—1724no—
2100C23—1724no—
2101C23—1724no—
2102C23—1724no—
2103C23—172128no—
2104C23—1724no—
2105C23—1724no—
2106C23—1724no—
2107C23C2×D4×D4312yes—
2108C23C2×D4×D4312yes—
2109C23C2×D4×D4312yes—
2110C23C2×D4×D4312yes—
2111C23#41×D4312yes—
2112C23#41×D4312yes—
2113C23C24×D4311yescharacteristic
2114D4—28no—
2115D4—44no—
2116D4—44no—
2117D4—44no—
2118D4—44no—
2119D4—44no—
2120D4—44no—
2121D4—868no—
2122D4—868no—
2123D4—868no—
2124D4—1724no—
2125D4—1724no—
2126D4—1724no—
2127D4—1724no—
2128D4—1724no—
2129D4—1724no—
2130D4—1724no—
2131D4—1724no—
2132D4—1724no—
2133D4—1724no—
2134D4—1724no—
2135D4—1724no—
2136D4—1724no—
2137D4—1724no—
2138D4—1724no—
2139D4—1724no—
2140D4—1724no—
2141D4—1724no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—432no—
2171C2×C4—432no—
2172C2×C4—432no—
2173C2×C4—432no—
2174C2×C4—432no—
2175C2×C4—868no—
2176C2×C4—868no—
2177C2×C4—868no—
2178C2×C4—868no—
2179C2×C4—868no—
2180C2×C4—861no—
2181C2×C4—861no—
2182C2×C4—861no—
2183C2×C4—861no—
2184C2×C4—861no—
2185C2×C4—861no—
2186C2×C4—861no—
2187C2×C4—861no—
2188C2×C4—861no—
2189C2×C4—861no—
2190C2×C4—861no—
2191C2×C4—861no—
2192C2×C4—861no—
2193C2×C4—861no—
2194C2×C4—861no—
2195C2×C4—861no—
2196C2×C4—861no—
2197C2×C4—861no—
2198C2×C4—861no—
2199C2×C4—861no—
2200C2×C4—861no—
2201C2×C4—861no—
2202C2×C4—861no—
2203C2×C4—861no—
2204C2×C4—861no—
2205C2×C4—1724no—
2206C2×C4—1724no—
2207C2×C4—1724no—
2208C2×C4—1724no—
2209C2×C4—1724no—
2210C2×C4—1724no—
2211C2×C4—1724no—
2212C2×C4—1724no—
2213C2×C4—1724no—
2214C2×C4—1724no—
2215C2×C4—1724no—
2216C2×C4—1724no—
2217C2×C4—1724no—
2218C2×C4—1724no—
2219C2×C4C2×D4×D4312yes—
2220C2×C4C2×D4×D4312yes—
2221C2×C4C2×D4×D4312yes—
2222C2×C4C2×D4×D4312yes—
2223C2×C4C2×D4×D4312yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—22no—
2233C22—22no—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—22no—
2238C22—22no—
2239C22—416no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—41no—
2244C22—41no—
2245C22—41no—
2246C22—41no—
2247C22—41no—
2248C22—41no—
2249C22—41no—
2250C22—41no—
2251C22—41no—
2252C22—41no—
2253C22—41no—
2254C22—41no—
2255C22—41no—
2256C22—41no—
2257C22—41no—
2258C22—41no—
2259C22—434no—
2260C22—434no—
2261C22—434no—
2262C22—434no—
2263C22—434no—
2264C22—434no—
2265C22—434no—
2266C22—434no—
2267C22—8632no—
2268C22—862no—
2269C22—862no—
2270C22—862no—
2271C22—862no—
2272C22—862no—
2273C22—862no—
2274C22—862no—
2275C22—862no—
2276C22—862no—
2277C22—862no—
2278C22—862no—
2279C22—862no—
2280C22—862no—
2281C22—862no—
2282C22—862no—
2283C22—3448no—
2284C22—17216no—
2285C22—17216no—
2286C22—17216no—
2287C22—17216no—
2288C22—17216no—
2289C22—17216no—
2290C22—1721no—
2291C22—1721no—
2292C22—1721no—
2293C22—1721no—
2294C22—1721no—
2295C22—1721no—
2296C22—1721no—
2297C22—1721no—
2298C22—1721no—
2299C22—1721no—
2300C22—1721no—
2301C22—1721no—
2302C22—1721no—
2303C22—1721no—
2304C22—1721no—
2305C22—1721no—
2306C22—1721no—
2307C22—1721no—
2308C22—1721no—
2309C22#121×D4314yescomplemented
2310C22C22×D4×D4311yescharacteristic
2311C22C22×D4×D4311yescharacteristic
2312C22C22×D4×D4311yescharacteristic
2313C22C2×#41×D4311yescharacteristic
2314C22C2×#41×D4311yescharacteristic
2315C22H(5,𝔽2)×D4311yescharacteristic
2316C22H(5,𝔽2)×D4311yescharacteristic
2317C4—22no—
2318C4—22no—
2319C4—22no—
2320C4—22no—
2321C4—22no—
2322C4—41no—
2323C4—41no—
2324C4—41no—
2325C4—41no—
2326C4—41no—
2327C4—862no—
2328C4—862no—
2329C4—862no—
2330C4—862no—
2331C4—862no—
2332C4—1721no—
2333C4—1721no—
2334C4—1721no—
2335C4—1721no—
2336C4—1721no—
2337C2—24no—
2338C2—42no—
2339C2—42no—
2340C2—42no—
2341C2—81no—
2342C2—438no—
2343C2—864no—
2344C2—3441no—
2345C2—1722no—
2346C2—1722no—
2347C2—1722no—
2348C2C2×#121×D4311yescharacteristic
2349C2#525×D4311yescharacteristic
2350C2#538×D4311yescharacteristic
2351C2D42×D4311yescharacteristic
2352C2D42×D4311yescharacteristic
2353C2#546×D4311yescharacteristic
2354C2#546×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2424C2
hypercenter#2424D43
hypocenterC43C2×#2424
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#121×D43C2semidirect
2. C2×#121×D43C2semidirect
3. C2×#120×D43C2semidirect
4. C2×#120×D43C2semidirect
5. C2×C4×D4×D43C2semidirect
6. C22×C22⋊C4×D43C2semidirect
7. #19138138C2semidirect
8. #19138137C2semidirect
9. #19138136C2semidirect
10. #19138135C2semidirect
11. #19138134C2semidirect
12. #19138133C2semidirect
13. #19138132C2semidirect
14. #19138131C2semidirect
15. #19138130C2semidirect
16. #19138129C2semidirect
17. #19138128C2semidirect
18. #19138127C2semidirect
19. #19138126C2semidirect
20. #19138125C2semidirect
21. #19138124C2semidirect
22. #396×D43C2semidirect
23. #394×D43C2semidirect
24. #394×D43C2semidirect
25. #392×D43C2semidirect
26. #390×D43C2semidirect
27. #388×D43C2semidirect
28. #386×D43C2semidirect
29. #386×D43C2semidirect
30. #385×D43C2semidirect
31. C43×#2424C2semidirect
39. C22×D4×D43C22semidirect
42. C23×C4×D43C22semidirect
43. C2×#13063300C22semidirect
44. C2×#13063300C22semidirect
45. C2×#13063299C22semidirect
46. C2×#13063299C22semidirect
47. C2×#13063298C22semidirect
48. C2×#13063298C22semidirect
49. C2×#13063298C22semidirect
50. C2×#13063298C22semidirect
51. C2×#13063297C22semidirect
52. C2×#13063297C22semidirect
53. C2×#13063297C22semidirect
54. C2×#13063297C22semidirect
55. C2×#13063296C22semidirect
56. C2×#13063296C22semidirect
59. C2×#13063295C22semidirect
60. C2×#13063295C22semidirect
61. C2×#13063295C22semidirect
62. C2×#13063295C22semidirect
63. C2×#13063295C22semidirect
64. C2×#13063295C22semidirect
65. C2×#13063294C22semidirect
66. C2×#13063294C22semidirect
67. C2×#13063293C22semidirect
68. C2×#13063293C22semidirect
69. C2×#13063293C22semidirect
70. C2×#13063293C22semidirect
71. C2×#13063293C22semidirect
72. C2×#13063293C22semidirect
75. C2×C4×D172C22semidirect
76. C2×D4×Dic43C22semidirect
77. C2×#13063287C22semidirect
78. C2×C4×C22⋊D43C22semidirect
79. C2×C4×C22⋊D43C22semidirect
80. C2×(C22⋊D43)⋊C4C22semidirect
81. C2×(C22⋊D43)⋊C4C22semidirect
83. C2×C4⋊C4×D43C22semidirect
84. C2×C4⋊C4×D43C22semidirect
85. C2×C4⋊C4×D43C22semidirect
86. C2×C4⋊C4×D43C22semidirect
87. C22×C22⋊Dic43C22semidirect
88. C22×(C2×D43)⋊C4C22semidirect
89. C22×(C2×D43)⋊C4C22semidirect
101. C2×C22⋊C4×D43C22semidirect
102. C2×C22⋊C4×D43C22semidirect
103. C2×C22⋊C4×D43C22semidirect
104. C2×C22⋊C4×D43C22semidirect
105. C2×C22⋊C4×D43C22semidirect
106. C2×C22⋊C4×D43C22semidirect
107. C2×C22⋊C4×D43C22semidirect
108. C2×C22⋊C4×D43C22semidirect
109. C2×C22⋊C4×D43C22semidirect
110. C2×C42×D43C22semidirect
111. #14582823C22semidirect
112. #14582822C22semidirect
113. #14582822C22semidirect
114. #14582822C22semidirect
115. #14582821C22semidirect
116. #14582821C22semidirect
117. #14582821C22semidirect
118. #14582817C22semidirect
119. #14582817C22semidirect
120. #14582816C22semidirect
121. #14582816C22semidirect
122. #14582815C22semidirect
123. #14582815C22semidirect
124. #14582815C22semidirect
125. #14582815C22semidirect
126. #14582814C22semidirect
127. #14582814C22semidirect
128. #14582814C22semidirect
129. #14582814C22semidirect
130. #14582813C22semidirect
131. #14582813C22semidirect
132. #14582809C22semidirect
133. #14582808C22semidirect
134. #14582808C22semidirect
135. #14582808C22semidirect
136. #14582807C22semidirect
137. #14582807C22semidirect
138. #14582807C22semidirect
139. #14582802C22semidirect
140. #14582801C22semidirect
141. #14582800C22semidirect
142. #14582799C22semidirect
143. #14582799C22semidirect
144. #14582799C22semidirect
145. #14582799C22semidirect
146. #14582793C22semidirect
147. #14582792C22semidirect
148. #14582791C22semidirect
149. #14582790C22semidirect
150. #14582789C22semidirect
151. #14582788C22semidirect
152. #14582787C22semidirect
153. #14582779C22semidirect
154. #14582779C22semidirect
155. #14582778C22semidirect
156. #14582778C22semidirect
157. #14582777C22semidirect
158. #14582777C22semidirect
159. #14582777C22semidirect
160. #14582777C22semidirect
161. #14582776C22semidirect
162. #14582776C22semidirect
163. #14582775C22semidirect
164. #14582775C22semidirect
165. #14582775C22semidirect
166. #14582775C22semidirect
167. #14582774C22semidirect
168. #14582773C22semidirect
169. #14582773C22semidirect
170. #14582772C22semidirect
171. #14582771C22semidirect
172. #14582770C22semidirect
173. #14582770C22semidirect
174. #95×D43C22semidirect
175. #95×D43C22semidirect
176. #95×D43C22semidirect
177. #95×D43C22semidirect
178. C2×#121×C43C22semidirect
179. C2×#121×C43C22semidirect
180. C2×#120×C43C22semidirect
181. C2×#120×C43C22semidirect
182. C2×C4×D4×C43C22semidirect
183. C22×C22⋊C4×C43C22semidirect
184. C43×#396C22semidirect
185. C43×#394C22semidirect
186. C43×#394C22semidirect
187. C43×#392C22semidirect
188. C43×#390C22semidirect
189. C43×#388C22semidirect
190. C43×#386C22semidirect
191. C43×#386C22semidirect
192. C43×#385C22semidirect
214. C22×D172C23semidirect
227. C22×C22⋊D43C23semidirect
228. C22×C22⋊D43C23semidirect
249. C2×D4×D43D4semidirect
252. C23×Dic43C23semidirect
276. C22×C4×D43C23semidirect
277. C22×C4×D43C23semidirect
313. C2×C4⋊Dic43C23semidirect
314. C2×C4⋊Dic43C23semidirect
315. C2×C4⋊Dic43C23semidirect
316. C2×C4⋊Dic43C23semidirect
317. C2×Dic43⋊C4C23semidirect
318. C2×Dic43⋊C4C23semidirect
319. C2×Dic43⋊C4C23semidirect
320. C2×Dic43⋊C4C23semidirect
321. C2×Dic43⋊C4C23semidirect
322. C2×Dic43⋊C4C23semidirect
323. C2×Dic43⋊C4C23semidirect
324. C2×Dic43⋊C4C23semidirect
340. C2×C22⋊Dic43C23semidirect
341. C2×C22⋊Dic43C23semidirect
342. C2×C22⋊Dic43C23semidirect
343. C2×C22⋊Dic43C23semidirect
344. C2×C22⋊Dic43C23semidirect
367. C2×(C2×D43)⋊C4C23semidirect
368. C2×(C2×D43)⋊C4C23semidirect
369. C2×(C2×D43)⋊C4C23semidirect
370. C2×(C2×D43)⋊C4C23semidirect
371. C2×(C2×D43)⋊C4C23semidirect
372. C2×(C2×D43)⋊C4C23semidirect
373. C2×(C2×D43)⋊C4C23semidirect
374. C2×(C2×D43)⋊C4C23semidirect
375. C2×(C2×D43)⋊C4C23semidirect
376. C2×(C2×D43)⋊C4C23semidirect
394. C22⋊C4×D43D4semidirect
395. C22⋊C4×D43D4semidirect
396. C2×C4×Dic43C23semidirect
397. C2×C4×Dic43C23semidirect
398. C2×C4×Dic43C23semidirect
400. C43⋊#95C23semidirect
401. C43⋊#95C23semidirect
402. C43⋊#95C23semidirect
403. C43⋊#95C23semidirect
404. C43⋊#95C23semidirect
405. C43⋊#95C23semidirect
406. C43⋊#95C23semidirect
407. C43⋊#95C23semidirect
408. C43⋊#95C23semidirect
409. C43⋊#95C23semidirect
410. C43⋊#95C23semidirect
411. C43⋊#95C23semidirect
419. C22×D4×C43C23semidirect
422. C23×C4×C43C23semidirect
428. C2×C4⋊C4×C43C23semidirect
429. C2×C4⋊C4×C43C23semidirect
430. C2×C4⋊C4×C43C23semidirect
431. C2×C4⋊C4×C43C23semidirect
443. C2×C22⋊C4×C43C23semidirect
444. C2×C22⋊C4×C43C23semidirect
445. C2×C22⋊C4×C43C23semidirect
446. C2×C22⋊C4×C43C23semidirect
447. C2×C22⋊C4×C43C23semidirect
448. C2×C42×C43C23semidirect
449. #95×C43C23semidirect
450. #95×C43C23semidirect
451. #95×C43C23semidirect
452. #95×C43C23semidirect
554. C2×D4×C43C2×D4semidirect
614. C2×C22⋊D43C2×D4semidirect
615. C2×C22⋊D43C2×D4semidirect
662. C2×D172C2×D4semidirect
731. C22⋊C4×C43C2×D4semidirect
732. C22⋊C4×C43C2×D4semidirect
747. C22⋊Dic43C2×D4semidirect
748. C22⋊Dic43C2×D4semidirect
775. (C2×D43)⋊C4C2×D4semidirect
776. (C2×D43)⋊C4C2×D4semidirect
777. (C2×D43)⋊C4C2×D4semidirect
778. (C2×D43)⋊C4C2×D4semidirect
922. C22×D43#121semidirect
1082. C22×C43C2×#121semidirect
1133. C2×D43C2×#121semidirect
1181. #2424D43direct (N × H)
1208. D43#2424direct (N × H)
1236. C2×#121C2×D43semidirect
1237. C2×#121C2×D43semidirect
1254. C2×#120C2×D43semidirect
1255. C2×#120C2×D43semidirect
1264. C2×C4×D4C2×D43semidirect
1292. C22×C22⋊C4C2×D43semidirect
1301. #396C2×D43semidirect
1316. #394C2×D43semidirect
1317. #394C2×D43semidirect
1325. #392C2×D43semidirect
1333. #390C2×D43semidirect
1341. #388C2×D43semidirect
1356. #386C2×D43semidirect
1357. #386C2×D43semidirect
1365. #385C2×D43semidirect
1370. C43C2×#2424semidirect
1435. C22×D4C22×D43semidirect
1466. C23×C4C22×D43semidirect
1523. C2×C4⋊C4C22×D43semidirect
1524. C2×C4⋊C4C22×D43semidirect
1525. C2×C4⋊C4C22×D43semidirect
1526. C2×C4⋊C4C22×D43semidirect
1605. C2×C22⋊C4C22×D43semidirect
1606. C2×C22⋊C4C22×D43semidirect
1607. C2×C22⋊C4C22×D43semidirect
1608. C2×C22⋊C4C22×D43semidirect
1609. C2×C22⋊C4C22×D43semidirect
1614. C2×C42C22×D43semidirect
1627. #95C22×D43semidirect
1628. #95C22×D43semidirect
1629. #95C22×D43semidirect
1630. #95C22×D43semidirect
1802. C2×D4D4×D43semidirect
1966. C22⋊C4D4×D43semidirect
1967. C22⋊C4D4×D43semidirect
2309. C22#121×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D432
C2×#120×D432
C2×C4×D4×D432
C22×C22⋊C4×D432
#191381382
#191381372
#191381362
#191381352
#191381342
#191381332
#191381322
#191381312
#191381302
#191381292
#191381282
#191381272
#191381262
#191381252
#191381242
#396×D432
#394×D432
#392×D432
#390×D432
#388×D432
#386×D432
#385×D432
C43×#24242
C2×#242443