Finite Group Databasebeta

← D43×#2472 #25264167

Subgroups — D43×#2472 #25264167

Order 11008.

4946 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D43C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
3C2×#120×D43C211yesmaximal, characteristic
4C22×C22⋊C4×D43C211yesmaximal, characteristic, complemented
5#19138728C211yesmaximal, characteristic, complemented
6#19138727C211yesmaximal, characteristic, complemented
7#19138726C211yesmaximal, characteristic, complemented
8#19138725C211yesmaximal, characteristic, complemented
9#19138724C211yesmaximal, characteristic, complemented
10#19138723C211yesmaximal, characteristic, complemented
11#19138722C211yesmaximal, characteristic, complemented
12#19138721C211yesmaximal, characteristic, complemented
13#19138720C211yesmaximal, characteristic, complemented
14#19138719C211yesmaximal, characteristic, complemented
15#19138718C211yesmaximal, characteristic, complemented
16#19138717C211yesmaximal, characteristic, complemented
17#19138716C211yesmaximal, characteristic, complemented
18#19138715C211yesmaximal, characteristic, complemented
19#19138714C211yesmaximal, characteristic, complemented
20#397×D43C211yesmaximal, characteristic, complemented
21#394×D43C211yesmaximal, characteristic, complemented
22#394×D43C211yesmaximal, characteristic, complemented
23#393×D43C211yesmaximal, characteristic, complemented
24#390×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#386×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic, complemented
29#379×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2472C211yesmaximal, characteristic, complemented
32C25×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic, complemented
34C22×D4×D43C2211yescharacteristic
35C22×D4×D43C2211yescharacteristic
36C22×D4×D43C2211yescharacteristic
37C23×C4×D43C2211yescharacteristic
38C23×C4×D43C2211yescharacteristic
39C2×#13063314C2211yescharacteristic, complemented
40C2×#13063313C2211yescharacteristic, complemented
41C2×#13063312C2211yescharacteristic, complemented
42C2×#13063311C2211yescharacteristic, complemented
43C2×#13063311C2211yescharacteristic, complemented
44C2×#13063311C2211yescharacteristic, complemented
45C2×#13063311C2211yescharacteristic, complemented
46#124×D43—28no—
47C2×#13063305C2211yescharacteristic, complemented
48C2×#13063304C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063303C2211yescharacteristic, complemented
51C2×#13063302C2211yescharacteristic, complemented
52C2×#13063302C2211yescharacteristic, complemented
53C2×#13063301C2211yescharacteristic, complemented
54C22⋊Q8×D43—28no—
55C2×#13063295C2211yescharacteristic
56C2×#13063295C2211yescharacteristic
57C2×#13063295C2211yescharacteristic
58C2×#13063294C2211yescharacteristic
59C2×#13063293C2211yescharacteristic
60C2×#13063293C2211yescharacteristic
61C2×#13063293C2211yescharacteristic
62#120×D43—28no—
63C2×C4⋊C4×D43C2211yescharacteristic, complemented
64C2×C4⋊C4×D43C2211yescharacteristic, complemented
65C2×C4⋊C4×D43C2211yescharacteristic, complemented
66C22×C22⋊Dic43C2211yescharacteristic, complemented
67C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
68C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
69C2×C22⋊C4×D43—28no—
70C2×C22⋊C4×D43C2211yescharacteristic
71C2×C22⋊C4×D43C2211yescharacteristic
72C2×C22⋊C4×D43C2211yescharacteristic
73C2×C22⋊C4×D43C2211yescharacteristic
74C2×C22⋊C4×D43C2211yescharacteristic
75C2×C22⋊C4×D43C2211yescharacteristic
76C2×C22⋊C4×D43C2211yescharacteristic
77C2×C22⋊C4×D43C2211yescharacteristic
78C2×C22⋊C4×D43C2211yescharacteristic
79C2×C22⋊C4×D43C2211yescharacteristic
80C2×C22⋊C4×D43C2211yescharacteristic
81C2×C22⋊C4×D43C2211yescharacteristic
82C2×C22⋊C4×D43C2211yescharacteristic
83C2×C22⋊C4×D43C2211yescharacteristic, complemented
84C2×C22⋊C4×D43C2211yescharacteristic, complemented
85C2×C22⋊C4×D43C2211yescharacteristic, complemented
86C2×C22⋊C4×D43C2211yescharacteristic, complemented
87C2×C22⋊C4×D43C2211yescharacteristic, complemented
88C2×C22⋊C4×D43C2211yescharacteristic, complemented
89C2×C22⋊C4×D43C2211yescharacteristic, complemented
90C2×C22⋊C4×D43C2211yescharacteristic, complemented
91C2×C42×D43C2211yescharacteristic, complemented
92C2×C42×D43C2211yescharacteristic, complemented
93#14582828C2211yescharacteristic, complemented
94#14582828C2211yescharacteristic, complemented
95#14582827C2211yescharacteristic, complemented
96#14582827C2211yescharacteristic, complemented
97#14582826C2211yescharacteristic, complemented
98#14582825C2211yescharacteristic, complemented
99#14582824C2211yescharacteristic, complemented
100#14582817C2211yescharacteristic, complemented
101#14582817C2211yescharacteristic, complemented
102#14582816C2211yescharacteristic, complemented
103#14582816C2211yescharacteristic, complemented
104#14582815C2211yescharacteristic, complemented
105#14582815C2211yescharacteristic, complemented
106#14582815C2211yescharacteristic, complemented
107#14582815C2211yescharacteristic, complemented
108#14582814C2211yescharacteristic, complemented
109#14582814C2211yescharacteristic, complemented
110#14582814C2211yescharacteristic, complemented
111#14582814C2211yescharacteristic, complemented
112#14582813C2211yescharacteristic, complemented
113#14582813C2211yescharacteristic, complemented
114#14582812C2211yescharacteristic, complemented
115#14582812C2211yescharacteristic, complemented
116#14582812C2211yescharacteristic, complemented
117#14582811C2211yescharacteristic, complemented
118#14582811C2211yescharacteristic, complemented
119#14582811C2211yescharacteristic, complemented
120#14582810C2211yescharacteristic, complemented
121#14582802C2211yescharacteristic, complemented
122#14582801C2211yescharacteristic, complemented
123#14582800C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582799C2211yescharacteristic, complemented
127#14582799C2211yescharacteristic, complemented
128#14582793C2211yescharacteristic, complemented
129#14582793C2211yescharacteristic, complemented
130#14582792C2211yescharacteristic, complemented
131#14582792C2211yescharacteristic, complemented
132#14582791C2211yescharacteristic, complemented
133#14582791C2211yescharacteristic, complemented
134#14582790C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582789C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic, complemented
141#14582787C2211yescharacteristic, complemented
142#14582779C2211yescharacteristic, complemented
143#14582779C2211yescharacteristic, complemented
144#14582778C2211yescharacteristic, complemented
145#14582778C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic, complemented
150#14582776C2211yescharacteristic, complemented
151#14582776C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582775C2211yescharacteristic, complemented
156#14582755C2211yescharacteristic, complemented
157#14582754C2211yescharacteristic, complemented
158#14582754C2211yescharacteristic, complemented
159#14582754C2211yescharacteristic, complemented
160#14582754C2211yescharacteristic, complemented
161#14582754C2211yescharacteristic, complemented
162#14582754C2211yescharacteristic, complemented
163C22⋊C4×Dic43C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic, complemented
165C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic43C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#95×D43C2211yescharacteristic, complemented
171#95×D43C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174#95×D43C2211yescharacteristic, complemented
175#95×D43C2211yescharacteristic, complemented
176C2×#124×C43C2211yescharacteristic, complemented
177C2×C22⋊Q8×C43C2211yescharacteristic, complemented
178C2×#120×C43C2211yescharacteristic
179C22×C22⋊C4×C43C2211yescharacteristic, complemented
180C43×#397C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic, complemented
182C43×#394C2211yescharacteristic, complemented
183C43×#393C2211yescharacteristic, complemented
184C43×#390C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#388C2211yescharacteristic, complemented
187C43×#386C2211yescharacteristic, complemented
188C43×#386C2211yescharacteristic, complemented
189C43×#379C2211yescharacteristic, complemented
190C4×C22⋊C4×C43C2211yescharacteristic, complemented
191C24×D43—24no—
192C24×D43—24no—
193C24×D43—24no—
194C24×D43—24no—
195C24×D43—24no—
196C24×D43—42no—
197C24×D43—42no—
198C24×D43C2311yescharacteristic
199C24×D43C2311yescharacteristic
200C24×D43C2311yescharacteristic
201C24×D43C2311yescharacteristic
202C24×D43C2311yescharacteristic
203C24×D43C2311yescharacteristic
204C24×D43C2311yescharacteristic
205C22×Dic86C2311yescharacteristic, complemented
206C22×Dic86C2311yescharacteristic, complemented
207C22×Dic86C2311yescharacteristic, complemented
208C2×Q8×D43—24no—
209C2×Q8×D43—24no—
210C2×Q8×D43—42no—
211C22×D172C2311yescharacteristic
212C22×D172C2311yescharacteristic
213C22×D172C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C22×C22⋊D43C2311yescharacteristic
219C22×C22⋊D43C2311yescharacteristic
220C2×D4×D43—24no—
221C2×D4×D43—24no—
222C2×D4×D43—24no—
223C2×D4×D43—24no—
224C2×D4×D43—24no—
225C2×D4×D43—24no—
226C2×D4×D43—24no—
227C2×D4×D43—42no—
228C2×D4×D43—42no—
229C23×Dic43C2311yescharacteristic
230C23×Dic43C2311yescharacteristic
231C22×C4×D43—24no—
232C22×C4×D43—24no—
233C22×C4×D43—24no—
234C22×C4×D43—24no—
235C22×C4×D43—42no—
236C22×C4×D43—42no—
237C22×C4×D43C2311yescharacteristic
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240C22×C4×D43C2311yescharacteristic
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244C22×C4×D43C2311yescharacteristic
245C22×C4×D43C2311yescharacteristic
246C22×C4×D43C2311yescharacteristic
247C22×C4×D43C2311yescharacteristic
248C22×C4×D43C2311yescharacteristic
249C22×C4×D43C2311yescharacteristic
250C22×C4×D43C2311yescharacteristic
251C22×C4×D43C2311yescharacteristic
252#13063314—24no—
253#13063313—24no—
254#13063312—24no—
255#13063311—24no—
256#13063311—24no—
257#13063311—24no—
258#13063311—24no—
259#13063305—24no—
260#13063304—24no—
261#13063303—24no—
262#13063303—24no—
263#13063302—24no—
264#13063302—24no—
265#13063301—24no—
266#13063295—24no—
267#13063295—24no—
268#13063295—24no—
269#13063294—24no—
270#13063293—24no—
271#13063293—24no—
272#13063293—24no—
273C2×C4⋊Dic43C2311yescharacteristic, complemented
274C2×C4⋊Dic43C2311yescharacteristic, complemented
275C2×C4⋊Dic43C2311yescharacteristic, complemented
276C2×Dic43⋊C4C2311yescharacteristic, complemented
277C2×Dic43⋊C4C2311yescharacteristic, complemented
278C2×Dic43⋊C4C2311yescharacteristic, complemented
279C2×Dic43⋊C4C2311yescharacteristic, complemented
280C2×Dic43⋊C4C2311yescharacteristic, complemented
281C2×Dic43⋊C4C2311yescharacteristic, complemented
282C4⋊C4×D43—24no—
283C4⋊C4×D43—24no—
284C4⋊C4×D43—24no—
285C2×C22⋊Dic43—24no—
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×C22⋊Dic43C2311yescharacteristic
298C2×C22⋊Dic43C2311yescharacteristic
299C2×C22⋊Dic43C2311yescharacteristic, complemented
300C2×C22⋊Dic43C2311yescharacteristic, complemented
301C2×C22⋊Dic43C2311yescharacteristic, complemented
302C2×C22⋊Dic43C2311yescharacteristic, complemented
303C2×(C2×D43)⋊C4—24no—
304C2×(C2×D43)⋊C4—24no—
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
332C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
333C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
334C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
335C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
336C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
337C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
338C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
339C22⋊C4×D43—24no—
340C22⋊C4×D43—24no—
341C22⋊C4×D43—24no—
342C22⋊C4×D43—24no—
343C22⋊C4×D43—24no—
344C22⋊C4×D43—24no—
345C22⋊C4×D43—24no—
346C22⋊C4×D43—24no—
347C22⋊C4×D43—24no—
348C22⋊C4×D43—24no—
349C22⋊C4×D43—24no—
350C22⋊C4×D43—24no—
351C22⋊C4×D43—24no—
352C22⋊C4×D43—24no—
353C22⋊C4×D43—24no—
354C22⋊C4×D43—42no—
355C22⋊C4×D43—42no—
356C22⋊C4×D43—42no—
357C22⋊C4×D43—42no—
358C22⋊C4×D43D418yes—
359C22⋊C4×D43D418yescomplemented
360C2×C4×Dic43C2311yescharacteristic, complemented
361C2×C4×Dic43C2311yescharacteristic, complemented
362C2×C4×Dic43C2311yescharacteristic, complemented
363C2×C4×Dic43C2311yescharacteristic, complemented
364C2×C4×Dic43C2311yescharacteristic, complemented
365C2×C4×Dic43C2311yescharacteristic, complemented
366C42×D43—24no—
367C42×D43—42no—
368C43⋊#95C2311yescharacteristic, complemented
369C43⋊#95C2311yescharacteristic, complemented
370C43⋊#95C2311yescharacteristic, complemented
371C43⋊#95C2311yescharacteristic, complemented
372C43⋊#95C2311yescharacteristic, complemented
373C43⋊#95C2311yescharacteristic, complemented
374C43⋊#95C2311yescharacteristic, complemented
375C43⋊#95C2311yescharacteristic, complemented
376C43⋊#95C2311yescharacteristic, complemented
377C43⋊#95C2311yescharacteristic, complemented
378C43⋊#95C2311yescharacteristic, complemented
379C43⋊#95C2311yescharacteristic, complemented
380C43⋊#95C2311yescharacteristic, complemented
381C43⋊#95C2311yescharacteristic, complemented
382C43⋊#95C2311yescharacteristic, complemented
383C43⋊#95C2311yescharacteristic, complemented
384C43⋊#95C2311yescharacteristic, complemented
385C43⋊#95C2311yescharacteristic, complemented
386C25×C43C2311yescharacteristic
387C22×Q8×C43C2311yescharacteristic, complemented
388C22×D4×C43C2311yescharacteristic
389C22×D4×C43C2311yescharacteristic
390C22×D4×C43C2311yescharacteristic
391C23×C4×C43C2311yescharacteristic
392C23×C4×C43C2311yescharacteristic
393#124×C43—24no—
394C22⋊Q8×C43—24no—
395#120×C43—24no—
396C2×C4⋊C4×C43C2311yescharacteristic, complemented
397C2×C4⋊C4×C43C2311yescharacteristic, complemented
398C2×C4⋊C4×C43C2311yescharacteristic, complemented
399C2×C22⋊C4×C43—24no—
400C2×C22⋊C4×C43C2311yescharacteristic
401C2×C22⋊C4×C43C2311yescharacteristic
402C2×C22⋊C4×C43C2311yescharacteristic
403C2×C22⋊C4×C43C2311yescharacteristic
404C2×C22⋊C4×C43C2311yescharacteristic
405C2×C22⋊C4×C43C2311yescharacteristic
406C2×C22⋊C4×C43C2311yescharacteristic
407C2×C22⋊C4×C43C2311yescharacteristic
408C2×C22⋊C4×C43C2311yescharacteristic
409C2×C22⋊C4×C43C2311yescharacteristic
410C2×C22⋊C4×C43C2311yescharacteristic
411C2×C22⋊C4×C43C2311yescharacteristic
412C2×C22⋊C4×C43C2311yescharacteristic
413C2×C22⋊C4×C43C2311yescharacteristic, complemented
414C2×C22⋊C4×C43C2311yescharacteristic, complemented
415C2×C22⋊C4×C43C2311yescharacteristic, complemented
416C2×C22⋊C4×C43C2311yescharacteristic, complemented
417C2×C42×C43C2311yescharacteristic, complemented
418C2×C42×C43C2311yescharacteristic, complemented
419#95×C43C2311yescharacteristic, complemented
420#95×C43C2311yescharacteristic, complemented
421#95×C43C2311yescharacteristic, complemented
422#95×C43C2311yescharacteristic, complemented
423#95×C43C2311yescharacteristic, complemented
424#95×C43C2311yescharacteristic, complemented
425C24×C43—22no—
426C24×C43—22no—
427C24×C43—22no—
428C24×C43—22no—
429C24×C43—22no—
430C24×C43—41no—
431C24×C43—41no—
432C24×C43C2411yescharacteristic
433C24×C43C2411yescharacteristic
434C24×C43C2411yescharacteristic
435C24×C43C2411yescharacteristic
436C23×D43—22no—
437C23×D43—22no—
438C23×D43—22no—
439C23×D43—22no—
440C23×D43—232no—
441C23×D43—22no—
442C23×D43—22no—
443C23×D43—22no—
444C23×D43—22no—
445C23×D43—22no—
446C23×D43—22no—
447C23×D43—22no—
448C23×D43—22no—
449C23×D43—22no—
450C23×D43—22no—
451C23×D43—22no—
452C23×D43—22no—
453C23×D43—22no—
454C23×D43—22no—
455C23×D43—22no—
456C23×D43—22no—
457C23×D43—22no—
458C23×D43—22no—
459C23×D43—22no—
460C23×D43—22no—
461C23×D43—22no—
462C23×D43—22no—
463C23×D43—22no—
464C23×D43—22no—
465C23×D43—22no—
466C23×D43—22no—
467C23×D43—22no—
468C23×D43—22no—
469C23×D43—22no—
470C23×D43—22no—
471C23×D43—22no—
472C23×D43—22no—
473C23×D43—22no—
474C23×D43—22no—
475C23×D43—41no—
476C23×D43—41no—
477C23×D43—41no—
478C23×D43—41no—
479C23×D43—41no—
480C23×D43—41no—
481C23×D43—416no—
482C23×D43—416no—
483C23×D43—416no—
484C23×D43—416no—
485C23×D43—416no—
486C23×D43—416no—
487C23×D43C2×D414yes—
488C23×D43C2×D414yes—
489C23×D43#4114yes—
490C23×D43#4114yes—
491C23×D43#4114yes—
492C23×D43C2411yescharacteristic
493C23×D43C2411yescharacteristic
494C23×D43C2411yescharacteristic
495C23×D43C2411yescharacteristic
496C23×D43C2411yescharacteristic
497C2×Q8×C43—22no—
498C2×Q8×C43—22no—
499C2×Q8×C43—41no—
500C2×D4×C43—22no—
501C2×D4×C43—22no—
502C2×D4×C43—22no—
503C2×D4×C43—22no—
504C2×D4×C43—22no—
505C2×D4×C43—22no—
506C2×D4×C43—22no—
507C2×D4×C43—41no—
508C2×D4×C43—41no—
509C22×C4×C43—22no—
510C22×C4×C43—22no—
511C22×C4×C43—22no—
512C22×C4×C43—22no—
513C22×C4×C43—41no—
514C22×C4×C43—41no—
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C2×C22⋊D43—22no—
527C2×C22⋊D43—22no—
528C2×C22⋊D43—22no—
529C2×C22⋊D43—22no—
530C2×C22⋊D43—22no—
531C2×C22⋊D43—22no—
532C2×C22⋊D43—22no—
533C2×C22⋊D43—22no—
534C2×C22⋊D43—22no—
535C2×C22⋊D43—22no—
536C2×C22⋊D43—22no—
537C2×C22⋊D43—22no—
538C2×C22⋊D43—22no—
539C2×C22⋊D43—22no—
540C2×C22⋊D43—41no—
541C2×C22⋊D43—41no—
542C2×C22⋊D43—41no—
543C2×C22⋊D43—41no—
544C22×Dic43—22no—
545C22×Dic43—22no—
546C22×Dic43—22no—
547C22×Dic43—22no—
548C22×Dic43—41no—
549C22×Dic43—41no—
550C22×Dic43C2411yescharacteristic
551C22×Dic43C2411yescharacteristic
552C22×Dic43C2411yescharacteristic
553C22×Dic43C2411yescharacteristic
554C22×Dic43C2411yescharacteristic
555C22×Dic43C2411yescharacteristic
556C22×Dic43C2411yescharacteristic
557C22×Dic43C2411yescharacteristic
558C22×Dic43C2411yescharacteristic
559C22×Dic43C2411yescharacteristic
560C22×Dic43C2411yescharacteristic
561Q8×D43—416no—
562D4×D43—416no—
563D4×D43—416no—
564D4×D43—416no—
565C2×D172—22no—
566C2×D172—22no—
567C2×D172—22no—
568C2×D172—22no—
569C2×D172—22no—
570C2×D172—22no—
571C2×D172—22no—
572C2×D172—41no—
573C2×D172—41no—
574C2×C4×D43—22no—
575C2×C4×D43—22no—
576C2×C4×D43—22no—
577C2×C4×D43—22no—
578C2×C4×D43—22no—
579C2×C4×D43—22no—
580C2×C4×D43—22no—
581C2×C4×D43—22no—
582C2×C4×D43—22no—
583C2×C4×D43—22no—
584C2×C4×D43—22no—
585C2×C4×D43—22no—
586C2×C4×D43—22no—
587C2×C4×D43—22no—
588C2×C4×D43—22no—
589C2×C4×D43—22no—
590C2×C4×D43—22no—
591C2×C4×D43—22no—
592C2×C4×D43—22no—
593C2×C4×D43—22no—
594C2×C4×D43—22no—
595C2×C4×D43—22no—
596C2×C4×D43—22no—
597C2×C4×D43—22no—
598C2×C4×D43—22no—
599C2×C4×D43—22no—
600C2×C4×D43—22no—
601C2×C4×D43—22no—
602C2×C4×D43—22no—
603C2×C4×D43—22no—
604C2×C4×D43—22no—
605C2×C4×D43—22no—
606C2×C4×D43—22no—
607C2×C4×D43—22no—
608C2×C4×D43—22no—
609C2×C4×D43—22no—
610C2×C4×D43—22no—
611C2×C4×D43—416no—
612C2×C4×D43—416no—
613C2×C4×D43—41no—
614C2×C4×D43—41no—
615C2×C4×D43—41no—
616C2×C4×D43—41no—
617C2×C4×D43C2×D414yes—
618C2×C4×D43C2×D414yes—
619C2×C4×D43C2×D414yes—
620C2×C4×D43C2×D414yes—
621C2×Dic86—22no—
622C2×Dic86—22no—
623C2×Dic86—22no—
624C2×Dic86—22no—
625C2×Dic86—22no—
626C2×Dic86—22no—
627C2×Dic86—41no—
628C2×Dic86—41no—
629C2×Dic86—41no—
630C4⋊C4×C43—22no—
631C4⋊C4×C43—22no—
632C4⋊C4×C43—22no—
633C22⋊C4×C43—22no—
634C22⋊C4×C43—22no—
635C22⋊C4×C43—22no—
636C22⋊C4×C43—22no—
637C22⋊C4×C43—22no—
638C22⋊C4×C43—22no—
639C22⋊C4×C43—22no—
640C22⋊C4×C43—22no—
641C22⋊C4×C43—22no—
642C22⋊C4×C43—22no—
643C22⋊C4×C43—22no—
644C22⋊C4×C43—41no—
645C22⋊C4×C43—41no—
646C22⋊C4×C43—41no—
647C22⋊C4×C43—41no—
648C22⋊C4×C43C2×D414yes—
649C22⋊C4×C43C2×D414yescomplemented
650C42×C43—22no—
651C42×C43—41no—
652C22⋊Dic43—22no—
653C22⋊Dic43—22no—
654C22⋊Dic43—22no—
655C22⋊Dic43—22no—
656C22⋊Dic43—22no—
657C22⋊Dic43—22no—
658C22⋊Dic43—22no—
659C22⋊Dic43—22no—
660C22⋊Dic43—22no—
661C22⋊Dic43—22no—
662C22⋊Dic43—22no—
663C22⋊Dic43—41no—
664C22⋊Dic43—41no—
665C22⋊Dic43—41no—
666C22⋊Dic43—41no—
667C22⋊Dic43C2×D414yes—
668C22⋊Dic43C2×D414yescomplemented
669(C2×D43)⋊C4—22no—
670(C2×D43)⋊C4—22no—
671(C2×D43)⋊C4—22no—
672(C2×D43)⋊C4—22no—
673(C2×D43)⋊C4—22no—
674(C2×D43)⋊C4—22no—
675(C2×D43)⋊C4—22no—
676(C2×D43)⋊C4—22no—
677(C2×D43)⋊C4—22no—
678(C2×D43)⋊C4—22no—
679(C2×D43)⋊C4—22no—
680(C2×D43)⋊C4—22no—
681(C2×D43)⋊C4—22no—
682(C2×D43)⋊C4—22no—
683(C2×D43)⋊C4—22no—
684(C2×D43)⋊C4—22no—
685(C2×D43)⋊C4—22no—
686(C2×D43)⋊C4—22no—
687(C2×D43)⋊C4—22no—
688(C2×D43)⋊C4—22no—
689(C2×D43)⋊C4—22no—
690(C2×D43)⋊C4—22no—
691(C2×D43)⋊C4—41no—
692(C2×D43)⋊C4—41no—
693(C2×D43)⋊C4—41no—
694(C2×D43)⋊C4—41no—
695(C2×D43)⋊C4—41no—
696(C2×D43)⋊C4—41no—
697(C2×D43)⋊C4—41no—
698(C2×D43)⋊C4—41no—
699(C2×D43)⋊C4C2×D414yes—
700(C2×D43)⋊C4C2×D414yes—
701(C2×D43)⋊C4C2×D414yescomplemented
702(C2×D43)⋊C4C2×D414yescomplemented
703C4⋊Dic43—22no—
704C4⋊Dic43—22no—
705C4⋊Dic43—22no—
706Dic43⋊C4—22no—
707Dic43⋊C4—22no—
708Dic43⋊C4—22no—
709Dic43⋊C4—22no—
710Dic43⋊C4—22no—
711Dic43⋊C4—22no—
712C4×Dic43—22no—
713C4×Dic43—22no—
714C4×Dic43—22no—
715C4×Dic43—41no—
716C4×Dic43—41no—
717C4×Dic43—41no—
718C23×C43—21no—
719C23×C43—21no—
720C23×C43—21no—
721C23×C43—21no—
722C23×C43—28no—
723C23×C43—21no—
724C23×C43—21no—
725C23×C43—21no—
726C23×C43—21no—
727C23×C43—21no—
728C23×C43—21no—
729C23×C43—21no—
730C23×C43—21no—
731C23×C43—21no—
732C23×C43—21no—
733C23×C43—21no—
734C23×C43—21no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—21no—
742C23×C43—44no—
743C23×C43—44no—
744C23×C43—44no—
745C23×C43—44no—
746C23×C43—44no—
747C23×C43—44no—
748C23×C43C22×D412yes—
749C23×C43C22×D412yes—
750C23×C43C2×#4112yes—
751C23×C43C2×#4112yes—
752C23×C43C2×#4112yes—
753C23×C43C2511yescharacteristic
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—21no—
757C22×D43—21no—
758C22×D43—28no—
759C22×D43—28no—
760C22×D43—28no—
761C22×D43—28no—
762C22×D43—28no—
763C22×D43—28no—
764C22×D43—28no—
765C22×D43—28no—
766C22×D43—28no—
767C22×D43—21no—
768C22×D43—21no—
769C22×D43—21no—
770C22×D43—21no—
771C22×D43—21no—
772C22×D43—21no—
773C22×D43—21no—
774C22×D43—21no—
775C22×D43—21no—
776C22×D43—21no—
777C22×D43—21no—
778C22×D43—21no—
779C22×D43—28no—
780C22×D43—28no—
781C22×D43—28no—
782C22×D43—28no—
783C22×D43—28no—
784C22×D43—28no—
785C22×D43—21no—
786C22×D43—21no—
787C22×D43—21no—
788C22×D43—21no—
789C22×D43—21no—
790C22×D43—21no—
791C22×D43—21no—
792C22×D43—44no—
793C22×D43—44no—
794C22×D43—44no—
795C22×D43—44no—
796C22×D43—44no—
797C22×D43—44no—
798C22×D43—44no—
799C22×D43—44no—
800C22×D43—44no—
801C22×D43—44no—
802C22×D43—44no—
803C22×D43—44no—
804C22×D43—44no—
805C22×D43—44no—
806C22×D43—4128no—
807C22×D43—44no—
808C22×D43—44no—
809C22×D43—44no—
810C22×D43—44no—
811C22×D43—44no—
812C22×D43—44no—
813C22×D43—44no—
814C22×D43—44no—
815C22×D43—44no—
816C22×D43—44no—
817C22×D43—44no—
818C22×D43—44no—
819C22×D43—44no—
820C22×D43—44no—
821C22×D43—44no—
822C22×D43—44no—
823C22×D43—44no—
824C22×D43—44no—
825C22×D43—44no—
826C22×D43#124116yescomplemented
827C22×D43C22×D412yes—
828C22×D43C22×D412yes—
829C22×D43C22×D412yes—
830C22×D43C22×D412yes—
831C22×D43C2×#4112yes—
832C22×D43C2×#4112yes—
833C22×D43C2×#4112yes—
834C22×D43C2×#4112yes—
835C22×D43C2×#4112yes—
836C22×D43C2×#4112yes—
837C22×D43H(5,𝔽2)12yes—
838C22×D43H(5,𝔽2)12yes—
839Q8×C43—44no—
840D4×C43—44no—
841D4×C43—44no—
842D4×C43—44no—
843C2×C4×C43—21no—
844C2×C4×C43—21no—
845C2×C4×C43—21no—
846C2×C4×C43—21no—
847C2×C4×C43—21no—
848C2×C4×C43—21no—
849C2×C4×C43—21no—
850C2×C4×C43—21no—
851C2×C4×C43—21no—
852C2×C4×C43—21no—
853C2×C4×C43—21no—
854C2×C4×C43—21no—
855C2×C4×C43—21no—
856C2×C4×C43—21no—
857C2×C4×C43—21no—
858C2×C4×C43—21no—
859C2×C4×C43—21no—
860C2×C4×C43—21no—
861C2×C4×C43—21no—
862C2×C4×C43—21no—
863C2×C4×C43—21no—
864C2×C4×C43—21no—
865C2×C4×C43—21no—
866C2×C4×C43—21no—
867C2×C4×C43—21no—
868C2×C4×C43—21no—
869C2×C4×C43—21no—
870C2×C4×C43—21no—
871C2×C4×C43—21no—
872C2×C4×C43—44no—
873C2×C4×C43—44no—
874C2×C4×C43C22×D412yes—
875C2×C4×C43C22×D412yes—
876C2×C4×C43C22×D412yes—
877C2×C4×C43C22×D412yes—
878C22⋊D43—44no—
879C22⋊D43—44no—
880C22⋊D43—44no—
881C22⋊D43—44no—
882C22⋊D43—44no—
883C22⋊D43—44no—
884C2×Dic43—21no—
885C2×Dic43—21no—
886C2×Dic43—21no—
887C2×Dic43—21no—
888C2×Dic43—21no—
889C2×Dic43—21no—
890C2×Dic43—21no—
891C2×Dic43—21no—
892C2×Dic43—21no—
893C2×Dic43—21no—
894C2×Dic43—21no—
895C2×Dic43—21no—
896C2×Dic43—21no—
897C2×Dic43—21no—
898C2×Dic43—21no—
899C2×Dic43—21no—
900C2×Dic43—21no—
901C2×Dic43—21no—
902C2×Dic43—21no—
903C2×Dic43—21no—
904C2×Dic43—21no—
905C2×Dic43—21no—
906C2×Dic43—21no—
907C2×Dic43—21no—
908C2×Dic43—21no—
909C2×Dic43—21no—
910C2×Dic43—21no—
911C2×Dic43—21no—
912C2×Dic43—21no—
913C2×Dic43—44no—
914C2×Dic43—44no—
915C2×Dic43C22×D412yes—
916C2×Dic43C22×D412yes—
917C2×Dic43C22×D412yes—
918C2×Dic43C22×D412yes—
919D172—44no—
920D172—44no—
921D172—44no—
922C4×D43—28no—
923C4×D43—28no—
924C4×D43—28no—
925C4×D43—28no—
926C4×D43—44no—
927C4×D43—44no—
928C4×D43—44no—
929C4×D43—44no—
930C4×D43—44no—
931C4×D43—44no—
932C4×D43—44no—
933C4×D43—44no—
934C4×D43—44no—
935C4×D43—44no—
936C4×D43—44no—
937Dic86—44no—
938Dic86—44no—
939Dic86—44no—
940C2×#2472—431nomaximal, Sylow
941C22×C43—22no—
942C22×C43—22no—
943C22×C43—22no—
944C22×C43—22no—
945C22×C43—22no—
946C22×C43—22no—
947C22×C43—22no—
948C22×C43—22no—
949C22×C43—22no—
950C22×C43—22no—
951C22×C43—22no—
952C22×C43—22no—
953C22×C43—416no—
954C22×C43—41no—
955C22×C43—41no—
956C22×C43—41no—
957C22×C43—41no—
958C22×C43—41no—
959C22×C43—41no—
960C22×C43—41no—
961C22×C43—41no—
962C22×C43—41no—
963C22×C43—41no—
964C22×C43—41no—
965C22×C43—41no—
966C22×C43—41no—
967C22×C43—41no—
968C22×C43—41no—
969C22×C43C2×#12414yescomplemented
970C22×C43C23×D411yescharacteristic
971C22×C43C23×D411yescharacteristic
972C22×C43C22×#4111yescharacteristic
973C22×C43C22×#4111yescharacteristic
974C22×C43C22×#4111yescharacteristic
975C22×C43C2×H(5,𝔽2)11yescharacteristic
976C22×C43C2×H(5,𝔽2)11yescharacteristic
977C2×D43—22no—
978C2×D43—22no—
979C2×D43—22no—
980C2×D43—22no—
981C2×D43—22no—
982C2×D43—22no—
983C2×D43—232no—
984C2×D43—22no—
985C2×D43—22no—
986C2×D43—22no—
987C2×D43—22no—
988C2×D43—22no—
989C2×D43—22no—
990C2×D43—416no—
991C2×D43—416no—
992C2×D43—416no—
993C2×D43—41no—
994C2×D43—41no—
995C2×D43—41no—
996C2×D43—41no—
997C2×D43—41no—
998C2×D43—41no—
999C2×D43—41no—
1000C2×D43—41no—
1001C2×D43—416no—
1002C2×D43—416no—
1003C2×D43—41no—
1004C2×D43—41no—
1005C2×D43—41no—
1006C2×D43—41no—
1007C2×D43—41no—
1008C2×D43—41no—
1009C2×D43—41no—
1010C2×D43—88no—
1011C2×D43#52514yes—
1012C2×D43C2×#12414yes—
1013C2×D43C2×#12414yescomplemented
1014C2×D43#53814yes—
1015C2×D43D4214yes—
1016C2×D43#54614yes—
1017C2×D43#54614yes—
1018C2×D43#55114yes—
1019C4×C43—22no—
1020C4×C43—22no—
1021C4×C43—22no—
1022C4×C43—22no—
1023C4×C43—41no—
1024C4×C43—41no—
1025C4×C43—41no—
1026C4×C43—41no—
1027C4×C43—41no—
1028C4×C43—41no—
1029C4×C43—41no—
1030Dic43—22no—
1031Dic43—22no—
1032Dic43—22no—
1033Dic43—22no—
1034Dic43—41no—
1035Dic43—41no—
1036Dic43—41no—
1037Dic43—41no—
1038Dic43—41no—
1039Dic43—41no—
1040Dic43—41no—
1041C22×#124—431no—
1042C22×C22⋊Q8—431no—
1043C22×#120—431no—
1044C23×C22⋊C4—431no—
1045#2472—431no—
1046#2472—431no—
1047#2472—431no—
1048#2472—431no—
1049#2472—431no—
1050#2472—431no—
1051#2472—431no—
1052#2472—431no—
1053#2472—431no—
1054#2472—431no—
1055#2472—431no—
1056#2472—431no—
1057#2472—431no—
1058#2472—431no—
1059#2472—431no—
1060#2472D4311yescharacteristic, direct product factor
1061C2×#397—431no—
1062C2×#394—431no—
1063C2×#394—431no—
1064C2×#393—431no—
1065C2×#390—431no—
1066C2×#388—431no—
1067C2×#388—431no—
1068C2×#386—431no—
1069C2×#386—431no—
1070C2×#379—431no—
1071C2×C4×C22⋊C4—431no—
1072C2×C43—24no—
1073C2×C43—42no—
1074C2×C43—42no—
1075C2×C43—81no—
1076C2×C43C2×#52511yescharacteristic
1077C2×C43C22×#12411yescharacteristic
1078C2×C43C2×#53811yescharacteristic
1079C2×C43C2×D4211yescharacteristic
1080C2×C43C2×#54611yescharacteristic
1081C2×C43C2×#54611yescharacteristic
1082C2×C43C2×#55111yescharacteristic
1083D43—24no—
1084D43—42no—
1085D43—42no—
1086D43—81no—
1087D43#247218yesdirect product factor
1088C26—431no—
1089C23×Q8—431no—
1090C23×D4—431no—
1091C23×D4—431no—
1092C23×D4—431no—
1093C24×C4—431no—
1094C24×C4—431no—
1095C2×#124—431no—
1096C2×#124—431no—
1097C2×#124—431no—
1098C2×#124—431no—
1099C2×#124—431no—
1100C2×#124—431no—
1101C2×#124—431no—
1102C2×#124—868no—
1103C2×#124C2×D4311yescharacteristic, complemented
1104C2×C22⋊Q8—431no—
1105C2×C22⋊Q8—431no—
1106C2×C22⋊Q8—431no—
1107C2×C22⋊Q8—431no—
1108C2×C22⋊Q8—431no—
1109C2×C22⋊Q8—431no—
1110C2×C22⋊Q8—431no—
1111C2×C22⋊Q8—868no—
1112C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1113C2×#120—431no—
1114C2×#120—431no—
1115C2×#120—431no—
1116C2×#120—431no—
1117C2×#120—431no—
1118C2×#120—431no—
1119C2×#120—431no—
1120C2×#120—868no—
1121C2×#120C2×D4311yescharacteristic
1122C22×C4⋊C4—431no—
1123C22×C4⋊C4—431no—
1124C22×C4⋊C4—431no—
1125C22×C22⋊C4—431no—
1126C22×C22⋊C4—431no—
1127C22×C22⋊C4—431no—
1128C22×C22⋊C4—431no—
1129C22×C22⋊C4—431no—
1130C22×C22⋊C4—431no—
1131C22×C22⋊C4—431no—
1132C22×C22⋊C4—431no—
1133C22×C22⋊C4—431no—
1134C22×C22⋊C4—431no—
1135C22×C22⋊C4—431no—
1136C22×C22⋊C4—431no—
1137C22×C22⋊C4—431no—
1138C22×C22⋊C4—431no—
1139C22×C22⋊C4—431no—
1140C22×C22⋊C4—431no—
1141C22×C22⋊C4—431no—
1142C22×C22⋊C4—431no—
1143C22×C22⋊C4—431no—
1144C22×C22⋊C4—431no—
1145C22×C22⋊C4—431no—
1146C22×C22⋊C4—431no—
1147C22×C22⋊C4—431no—
1148C22×C22⋊C4—431no—
1149C22×C22⋊C4—868no—
1150C22×C22⋊C4C2×D4311yescharacteristic, complemented
1151C22×C42—431no—
1152C22×C42—431no—
1153#397—431no—
1154#397—431no—
1155#397—431no—
1156#397—431no—
1157#397—431no—
1158#397—431no—
1159#397—431no—
1160#397C2×D4311yescharacteristic, complemented
1161#394—431no—
1162#394—431no—
1163#394—431no—
1164#394—431no—
1165#394—431no—
1166#394—431no—
1167#394—431no—
1168#394—431no—
1169#394—431no—
1170#394—431no—
1171#394—431no—
1172#394—431no—
1173#394—431no—
1174#394—431no—
1175#394C2×D4311yescharacteristic, complemented
1176#394C2×D4311yescharacteristic, complemented
1177#393—431no—
1178#393—431no—
1179#393—431no—
1180#393—431no—
1181#393—431no—
1182#393—431no—
1183#393—431no—
1184#393C2×D4311yescharacteristic, complemented
1185#390—431no—
1186#390—431no—
1187#390—431no—
1188#390—431no—
1189#390—431no—
1190#390—431no—
1191#390—431no—
1192#390C2×D4311yescharacteristic, complemented
1193#388—431no—
1194#388—431no—
1195#388—431no—
1196#388—431no—
1197#388—431no—
1198#388—431no—
1199#388—431no—
1200#388—431no—
1201#388—431no—
1202#388—431no—
1203#388—431no—
1204#388—431no—
1205#388—431no—
1206#388—431no—
1207#388C2×D4311yescharacteristic, complemented
1208#388C2×D4311yescharacteristic, complemented
1209#386—431no—
1210#386—431no—
1211#386—431no—
1212#386—431no—
1213#386—431no—
1214#386—431no—
1215#386—431no—
1216#386—431no—
1217#386—431no—
1218#386—431no—
1219#386—431no—
1220#386—431no—
1221#386—431no—
1222#386—431no—
1223#386C2×D4311yescharacteristic, complemented
1224#386C2×D4311yescharacteristic, complemented
1225#379—431no—
1226#379—431no—
1227#379—431no—
1228#379—431no—
1229#379—431no—
1230#379—431no—
1231#379—431no—
1232#379C2×D4311yescharacteristic, complemented
1233C4×C22⋊C4—431no—
1234C4×C22⋊C4—431no—
1235C4×C22⋊C4—431no—
1236C4×C22⋊C4—431no—
1237C4×C22⋊C4—431no—
1238C4×C22⋊C4—431no—
1239C4×C22⋊C4—431no—
1240C4×C22⋊C4C2×D4311yescharacteristic, complemented
1241C2×#95—431no—
1242C2×#95—431no—
1243C2×#95—431no—
1244C2×#95—431no—
1245C2×#95—431no—
1246C2×#95—431no—
1247C43C2×#247211yescharacteristic, complemented, Sylow
1248C25—431no—
1249C25—431no—
1250C25—431no—
1251C25—431no—
1252C25—431no—
1253C25—431no—
1254C25—431no—
1255C25—864no—
1256C25—864no—
1257C25—864no—
1258C25—864no—
1259C25—864no—
1260C25—1722no—
1261C25—1722no—
1262C25C22×D4311yescharacteristic
1263C22×Q8—431no—
1264C22×Q8—431no—
1265C22×Q8—431no—
1266C22×Q8—864no—
1267C22×Q8—864no—
1268C22×Q8—1722no—
1269C22×Q8C22×D4311yescharacteristic, complemented
1270C22×D4—431no—
1271C22×D4—431no—
1272C22×D4—431no—
1273C22×D4—431no—
1274C22×D4—431no—
1275C22×D4—431no—
1276C22×D4—431no—
1277C22×D4—431no—
1278C22×D4—431no—
1279C22×D4—864no—
1280C22×D4—864no—
1281C22×D4—864no—
1282C22×D4—864no—
1283C22×D4—864no—
1284C22×D4—864no—
1285C22×D4—864no—
1286C22×D4—1722no—
1287C22×D4—1722no—
1288C22×D4C22×D4311yescharacteristic
1289C22×D4C22×D4311yescharacteristic
1290C22×D4C22×D4311yescharacteristic
1291C23×C4—431no—
1292C23×C4—431no—
1293C23×C4—431no—
1294C23×C4—431no—
1295C23×C4—431no—
1296C23×C4—431no—
1297C23×C4—431no—
1298C23×C4—431no—
1299C23×C4—431no—
1300C23×C4—431no—
1301C23×C4—431no—
1302C23×C4—431no—
1303C23×C4—431no—
1304C23×C4—431no—
1305C23×C4—431no—
1306C23×C4—431no—
1307C23×C4—431no—
1308C23×C4—864no—
1309C23×C4—864no—
1310C23×C4—864no—
1311C23×C4—864no—
1312C23×C4—1722no—
1313C23×C4—1722no—
1314C23×C4C22×D4311yescharacteristic
1315C23×C4C22×D4311yescharacteristic
1316#124—24no—
1317#124—864no—
1318#124—864no—
1319#124—864no—
1320#124—864no—
1321#124—864no—
1322#124—864no—
1323#124—864no—
1324C22⋊Q8—24no—
1325C22⋊Q8—864no—
1326C22⋊Q8—864no—
1327C22⋊Q8—864no—
1328C22⋊Q8—864no—
1329C22⋊Q8—864no—
1330C22⋊Q8—864no—
1331C22⋊Q8—864no—
1332#120—24no—
1333#120—864no—
1334#120—864no—
1335#120—864no—
1336#120—864no—
1337#120—864no—
1338#120—864no—
1339#120—864no—
1340C2×C4⋊C4—431no—
1341C2×C4⋊C4—431no—
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
1345C2×C4⋊C4—431no—
1346C2×C4⋊C4—431no—
1347C2×C4⋊C4—431no—
1348C2×C4⋊C4—431no—
1349C2×C4⋊C4—864no—
1350C2×C4⋊C4—864no—
1351C2×C4⋊C4—864no—
1352C2×C4⋊C4C22×D4311yescharacteristic, complemented
1353C2×C4⋊C4C22×D4311yescharacteristic, complemented
1354C2×C4⋊C4C22×D4311yescharacteristic, complemented
1355C2×C22⋊C4—24no—
1356C2×C22⋊C4—431no—
1357C2×C22⋊C4—431no—
1358C2×C22⋊C4—431no—
1359C2×C22⋊C4—431no—
1360C2×C22⋊C4—431no—
1361C2×C22⋊C4—431no—
1362C2×C22⋊C4—438no—
1363C2×C22⋊C4—438no—
1364C2×C22⋊C4—431no—
1365C2×C22⋊C4—431no—
1366C2×C22⋊C4—431no—
1367C2×C22⋊C4—431no—
1368C2×C22⋊C4—431no—
1369C2×C22⋊C4—431no—
1370C2×C22⋊C4—431no—
1371C2×C22⋊C4—431no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—431no—
1375C2×C22⋊C4—431no—
1376C2×C22⋊C4—431no—
1377C2×C22⋊C4—431no—
1378C2×C22⋊C4—431no—
1379C2×C22⋊C4—431no—
1380C2×C22⋊C4—431no—
1381C2×C22⋊C4—431no—
1382C2×C22⋊C4—431no—
1383C2×C22⋊C4—431no—
1384C2×C22⋊C4—431no—
1385C2×C22⋊C4—431no—
1386C2×C22⋊C4—431no—
1387C2×C22⋊C4—431no—
1388C2×C22⋊C4—431no—
1389C2×C22⋊C4—431no—
1390C2×C22⋊C4—431no—
1391C2×C22⋊C4—431no—
1392C2×C22⋊C4—431no—
1393C2×C22⋊C4—431no—
1394C2×C22⋊C4—431no—
1395C2×C22⋊C4—431no—
1396C2×C22⋊C4—431no—
1397C2×C22⋊C4—431no—
1398C2×C22⋊C4—431no—
1399C2×C22⋊C4—431no—
1400C2×C22⋊C4—431no—
1401C2×C22⋊C4—431no—
1402C2×C22⋊C4—431no—
1403C2×C22⋊C4—431no—
1404C2×C22⋊C4—431no—
1405C2×C22⋊C4—431no—
1406C2×C22⋊C4—431no—
1407C2×C22⋊C4—431no—
1408C2×C22⋊C4—431no—
1409C2×C22⋊C4—864no—
1410C2×C22⋊C4—864no—
1411C2×C22⋊C4—864no—
1412C2×C22⋊C4—864no—
1413C2×C22⋊C4—864no—
1414C2×C22⋊C4—864no—
1415C2×C22⋊C4—864no—
1416C2×C22⋊C4—864no—
1417C2×C22⋊C4—864no—
1418C2×C22⋊C4—864no—
1419C2×C22⋊C4—864no—
1420C2×C22⋊C4—864no—
1421C2×C22⋊C4—864no—
1422C2×C22⋊C4—864no—
1423C2×C22⋊C4—864no—
1424C2×C22⋊C4—864no—
1425C2×C22⋊C4—864no—
1426C2×C22⋊C4—864no—
1427C2×C22⋊C4—1722no—
1428C2×C22⋊C4—1722no—
1429C2×C22⋊C4—1722no—
1430C2×C22⋊C4—1722no—
1431C2×C22⋊C4C22×D4311yescharacteristic
1432C2×C22⋊C4C22×D4311yescharacteristic
1433C2×C22⋊C4C22×D4311yescharacteristic
1434C2×C22⋊C4C22×D4311yescharacteristic
1435C2×C22⋊C4C22×D4311yescharacteristic
1436C2×C22⋊C4C22×D4311yescharacteristic
1437C2×C22⋊C4C22×D4311yescharacteristic
1438C2×C22⋊C4C22×D4311yescharacteristic
1439C2×C22⋊C4C22×D4311yescharacteristic
1440C2×C22⋊C4C22×D4311yescharacteristic
1441C2×C22⋊C4C22×D4311yescharacteristic
1442C2×C22⋊C4C22×D4311yescharacteristic
1443C2×C22⋊C4C22×D4311yescharacteristic
1444C2×C22⋊C4C22×D4311yescharacteristic, complemented
1445C2×C22⋊C4C22×D4311yescharacteristic, complemented
1446C2×C22⋊C4C22×D4311yescharacteristic, complemented
1447C2×C22⋊C4C22×D4311yescharacteristic, complemented
1448C2×C42—431no—
1449C2×C42—431no—
1450C2×C42—431no—
1451C2×C42—431no—
1452C2×C42—431no—
1453C2×C42—431no—
1454C2×C42—864no—
1455C2×C42—1722no—
1456C2×C42C22×D4311yescharacteristic, complemented
1457C2×C42C22×D4311yescharacteristic, complemented
1458#95—431no—
1459#95—431no—
1460#95—431no—
1461#95—431no—
1462#95—431no—
1463#95—431no—
1464#95—431no—
1465#95—431no—
1466#95—431no—
1467#95—431no—
1468#95—431no—
1469#95—431no—
1470#95—431no—
1471#95—431no—
1472#95—431no—
1473#95—431no—
1474#95—431no—
1475#95—431no—
1476#95C22×D4311yescharacteristic, complemented
1477#95C22×D4311yescharacteristic, complemented
1478#95C22×D4311yescharacteristic, complemented
1479#95C22×D4311yescharacteristic, complemented
1480#95C22×D4311yescharacteristic, complemented
1481#95C22×D4311yescharacteristic, complemented
1482C24—22no—
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—22no—
1487C24—41no—
1488C24—41no—
1489C24—431no—
1490C24—434no—
1491C24—434no—
1492C24—434no—
1493C24—431no—
1494C24—434no—
1495C24—434no—
1496C24—431no—
1497C24—431no—
1498C24—431no—
1499C24—862no—
1500C24—862no—
1501C24—862no—
1502C24—862no—
1503C24—862no—
1504C24—862no—
1505C24—862no—
1506C24—862no—
1507C24—862no—
1508C24—862no—
1509C24—862no—
1510C24—862no—
1511C24—862no—
1512C24—862no—
1513C24—862no—
1514C24—862no—
1515C24—862no—
1516C24—862no—
1517C24—862no—
1518C24—862no—
1519C24—862no—
1520C24—862no—
1521C24—862no—
1522C24—862no—
1523C24—862no—
1524C24—862no—
1525C24—862no—
1526C24—862no—
1527C24—862no—
1528C24—862no—
1529C24—862no—
1530C24—862no—
1531C24—862no—
1532C24—8632no—
1533C24—862no—
1534C24—862no—
1535C24—862no—
1536C24—862no—
1537C24—862no—
1538C24—1721no—
1539C24—1721no—
1540C24—1721no—
1541C24—1721no—
1542C24—1721no—
1543C24—1721no—
1544C24—17216no—
1545C24—17216no—
1546C24—17216no—
1547C24—17216no—
1548C24—17216no—
1549C24—17216no—
1550C24C23×D4311yescharacteristic
1551C24C23×D4311yescharacteristic
1552C24C23×D4311yescharacteristic
1553C24C23×D4311yescharacteristic
1554C2×Q8—22no—
1555C2×Q8—22no—
1556C2×Q8—41no—
1557C2×Q8—862no—
1558C2×Q8—862no—
1559C2×Q8—862no—
1560C2×Q8—862no—
1561C2×Q8—862no—
1562C2×Q8—862no—
1563C2×Q8—1721no—
1564C2×Q8—1721no—
1565C2×Q8—1721no—
1566C2×Q8—17216no—
1567C2×D4—22no—
1568C2×D4—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—862no—
1577C2×D4—862no—
1578C2×D4—862no—
1579C2×D4—862no—
1580C2×D4—862no—
1581C2×D4—862no—
1582C2×D4—862no—
1583C2×D4—862no—
1584C2×D4—862no—
1585C2×D4—862no—
1586C2×D4—862no—
1587C2×D4—862no—
1588C2×D4—862no—
1589C2×D4—862no—
1590C2×D4—862no—
1591C2×D4—862no—
1592C2×D4—862no—
1593C2×D4—862no—
1594C2×D4—862no—
1595C2×D4—862no—
1596C2×D4—862no—
1597C2×D4—1721no—
1598C2×D4—1721no—
1599C2×D4—17216no—
1600C2×D4—17216no—
1601C2×D4—1721no—
1602C2×D4—1721no—
1603C2×D4—1721no—
1604C2×D4—1721no—
1605C2×D4—17216no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—22no—
1609C22×C4—22no—
1610C22×C4—41no—
1611C22×C4—41no—
1612C22×C4—431no—
1613C22×C4—431no—
1614C22×C4—431no—
1615C22×C4—431no—
1616C22×C4—434no—
1617C22×C4—434no—
1618C22×C4—434no—
1619C22×C4—434no—
1620C22×C4—431no—
1621C22×C4—431no—
1622C22×C4—431no—
1623C22×C4—431no—
1624C22×C4—431no—
1625C22×C4—431no—
1626C22×C4—431no—
1627C22×C4—862no—
1628C22×C4—862no—
1629C22×C4—862no—
1630C22×C4—862no—
1631C22×C4—862no—
1632C22×C4—862no—
1633C22×C4—862no—
1634C22×C4—862no—
1635C22×C4—862no—
1636C22×C4—862no—
1637C22×C4—862no—
1638C22×C4—862no—
1639C22×C4—862no—
1640C22×C4—862no—
1641C22×C4—862no—
1642C22×C4—862no—
1643C22×C4—862no—
1644C22×C4—862no—
1645C22×C4—862no—
1646C22×C4—862no—
1647C22×C4—862no—
1648C22×C4—862no—
1649C22×C4—862no—
1650C22×C4—862no—
1651C22×C4—862no—
1652C22×C4—862no—
1653C22×C4—862no—
1654C22×C4—862no—
1655C22×C4—862no—
1656C22×C4—862no—
1657C22×C4—862no—
1658C22×C4—862no—
1659C22×C4—862no—
1660C22×C4—862no—
1661C22×C4—862no—
1662C22×C4—862no—
1663C22×C4—862no—
1664C22×C4—862no—
1665C22×C4—862no—
1666C22×C4—862no—
1667C22×C4—862no—
1668C22×C4—1721no—
1669C22×C4—1721no—
1670C22×C4—1721no—
1671C22×C4—1721no—
1672C22×C4—17216no—
1673C22×C4—17216no—
1674C22×C4—1721no—
1675C22×C4—1721no—
1676C22×C4C23×D4311yescharacteristic
1677C22×C4C23×D4311yescharacteristic
1678C22×C4C23×D4311yescharacteristic
1679C22×C4C23×D4311yescharacteristic
1680C22×C4C23×D4311yescharacteristic
1681C22×C4C23×D4311yescharacteristic
1682C22×C4C23×D4311yescharacteristic
1683C22×C4C23×D4311yescharacteristic
1684C22×C4C23×D4311yescharacteristic
1685C22×C4C23×D4311yescharacteristic
1686C22×C4C23×D4311yescharacteristic
1687C4⋊C4—22no—
1688C4⋊C4—22no—
1689C4⋊C4—22no—
1690C4⋊C4—862no—
1691C4⋊C4—862no—
1692C4⋊C4—862no—
1693C4⋊C4—862no—
1694C4⋊C4—862no—
1695C4⋊C4—862no—
1696C4⋊C4—862no—
1697C4⋊C4—862no—
1698C4⋊C4—862no—
1699C22⋊C4—22no—
1700C22⋊C4—22no—
1701C22⋊C4—22no—
1702C22⋊C4—22no—
1703C22⋊C4—22no—
1704C22⋊C4—22no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—434no—
1715C22⋊C4—434no—
1716C22⋊C4—434no—
1717C22⋊C4—434no—
1718C22⋊C4—434no—
1719C22⋊C4—434no—
1720C22⋊C4—862no—
1721C22⋊C4—862no—
1722C22⋊C4—862no—
1723C22⋊C4—862no—
1724C22⋊C4—862no—
1725C22⋊C4—862no—
1726C22⋊C4—862no—
1727C22⋊C4—862no—
1728C22⋊C4—862no—
1729C22⋊C4—862no—
1730C22⋊C4—862no—
1731C22⋊C4—862no—
1732C22⋊C4—862no—
1733C22⋊C4—862no—
1734C22⋊C4—862no—
1735C22⋊C4—862no—
1736C22⋊C4—862no—
1737C22⋊C4—862no—
1738C22⋊C4—862no—
1739C22⋊C4—862no—
1740C22⋊C4—862no—
1741C22⋊C4—862no—
1742C22⋊C4—862no—
1743C22⋊C4—862no—
1744C22⋊C4—862no—
1745C22⋊C4—862no—
1746C22⋊C4—862no—
1747C22⋊C4—862no—
1748C22⋊C4—862no—
1749C22⋊C4—862no—
1750C22⋊C4—862no—
1751C22⋊C4—862no—
1752C22⋊C4—862no—
1753C22⋊C4—1721no—
1754C22⋊C4—1721no—
1755C22⋊C4—1721no—
1756C22⋊C4—1721no—
1757C22⋊C4—1721no—
1758C22⋊C4—1721no—
1759C22⋊C4—1721no—
1760C22⋊C4—1721no—
1761C22⋊C4—1721no—
1762C22⋊C4—1721no—
1763C22⋊C4—1721no—
1764C22⋊C4—1721no—
1765C22⋊C4D4×D4314yes—
1766C22⋊C4D4×D4314yescomplemented
1767C42—22no—
1768C42—41no—
1769C42—862no—
1770C42—862no—
1771C42—862no—
1772C42—1721no—
1773C42—1721no—
1774C42—1721no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—28no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—44no—
1800C23—44no—
1801C23—44no—
1802C23—44no—
1803C23—44no—
1804C23—44no—
1805C23—432no—
1806C23—432no—
1807C23—432no—
1808C23—432no—
1809C23—432no—
1810C23—432no—
1811C23—432no—
1812C23—4316no—
1813C23—432no—
1814C23—432no—
1815C23—432no—
1816C23—432no—
1817C23—432no—
1818C23—868no—
1819C23—868no—
1820C23—868no—
1821C23—868no—
1822C23—868no—
1823C23—868no—
1824C23—868no—
1825C23—868no—
1826C23—868no—
1827C23—868no—
1828C23—868no—
1829C23—868no—
1830C23—868no—
1831C23—868no—
1832C23—868no—
1833C23—861no—
1834C23—861no—
1835C23—861no—
1836C23—861no—
1837C23—861no—
1838C23—861no—
1839C23—861no—
1840C23—861no—
1841C23—861no—
1842C23—861no—
1843C23—861no—
1844C23—861no—
1845C23—861no—
1846C23—861no—
1847C23—861no—
1848C23—861no—
1849C23—861no—
1850C23—861no—
1851C23—861no—
1852C23—861no—
1853C23—861no—
1854C23—861no—
1855C23—861no—
1856C23—1724no—
1857C23—1724no—
1858C23—1724no—
1859C23—1724no—
1860C23—1724no—
1861C23—1724no—
1862C23—1724no—
1863C23—1724no—
1864C23—1724no—
1865C23—1724no—
1866C23—1724no—
1867C23—1724no—
1868C23—1724no—
1869C23—1724no—
1870C23—1724no—
1871C23—1724no—
1872C23—1724no—
1873C23—1724no—
1874C23—1724no—
1875C23—1724no—
1876C23—1724no—
1877C23—1724no—
1878C23—1724no—
1879C23—1724no—
1880C23—1724no—
1881C23—1724no—
1882C23—1724no—
1883C23—1724no—
1884C23—1724no—
1885C23—1724no—
1886C23—172128no—
1887C23—1724no—
1888C23—1724no—
1889C23—1724no—
1890C23C2×D4×D4312yes—
1891C23C2×D4×D4312yes—
1892C23#41×D4312yes—
1893C23#41×D4312yes—
1894C23#41×D4312yes—
1895C23C24×D4311yescharacteristic
1896Q8—44no—
1897Q8—1724no—
1898Q8—1724no—
1899Q8—1724no—
1900D4—44no—
1901D4—44no—
1902D4—44no—
1903D4—1724no—
1904D4—1724no—
1905D4—1724no—
1906D4—1724no—
1907D4—1724no—
1908D4—1724no—
1909D4—1724no—
1910D4—1724no—
1911D4—1724no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—44no—
1942C2×C4—44no—
1943C2×C4—432no—
1944C2×C4—432no—
1945C2×C4—432no—
1946C2×C4—432no—
1947C2×C4—868no—
1948C2×C4—868no—
1949C2×C4—868no—
1950C2×C4—868no—
1951C2×C4—861no—
1952C2×C4—861no—
1953C2×C4—861no—
1954C2×C4—861no—
1955C2×C4—861no—
1956C2×C4—861no—
1957C2×C4—861no—
1958C2×C4—861no—
1959C2×C4—861no—
1960C2×C4—861no—
1961C2×C4—861no—
1962C2×C4—861no—
1963C2×C4—861no—
1964C2×C4—861no—
1965C2×C4—861no—
1966C2×C4—861no—
1967C2×C4—861no—
1968C2×C4—861no—
1969C2×C4—861no—
1970C2×C4—861no—
1971C2×C4—861no—
1972C2×C4—861no—
1973C2×C4—861no—
1974C2×C4—861no—
1975C2×C4—861no—
1976C2×C4—861no—
1977C2×C4—861no—
1978C2×C4—861no—
1979C2×C4—861no—
1980C2×C4—1724no—
1981C2×C4—1724no—
1982C2×C4—1724no—
1983C2×C4—1724no—
1984C2×C4—1724no—
1985C2×C4—1724no—
1986C2×C4—1724no—
1987C2×C4—1724no—
1988C2×C4—1724no—
1989C2×C4—1724no—
1990C2×C4—1724no—
1991C2×C4—1724no—
1992C2×C4—1724no—
1993C2×C4C2×D4×D4312yes—
1994C2×C4C2×D4×D4312yes—
1995C2×C4C2×D4×D4312yes—
1996C2×C4C2×D4×D4312yes—
1997C22—22no—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—22no—
2002C22—22no—
2003C22—22no—
2004C22—22no—
2005C22—22no—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—416no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—434no—
2026C22—434no—
2027C22—434no—
2028C22—434no—
2029C22—434no—
2030C22—434no—
2031C22—434no—
2032C22—434no—
2033C22—8632no—
2034C22—862no—
2035C22—862no—
2036C22—862no—
2037C22—862no—
2038C22—862no—
2039C22—862no—
2040C22—862no—
2041C22—862no—
2042C22—862no—
2043C22—862no—
2044C22—862no—
2045C22—862no—
2046C22—3448no—
2047C22—17216no—
2048C22—17216no—
2049C22—17216no—
2050C22—17216no—
2051C22—17216no—
2052C22—1721no—
2053C22—1721no—
2054C22—1721no—
2055C22—1721no—
2056C22—1721no—
2057C22—1721no—
2058C22—1721no—
2059C22—1721no—
2060C22—1721no—
2061C22—1721no—
2062C22—1721no—
2063C22—1721no—
2064C22—1721no—
2065C22—1721no—
2066C22—1721no—
2067C22#124×D4314yescomplemented
2068C22C22×D4×D4311yescharacteristic
2069C22C22×D4×D4311yescharacteristic
2070C22C2×#41×D4311yescharacteristic
2071C22C2×#41×D4311yescharacteristic
2072C22C2×#41×D4311yescharacteristic
2073C22H(5,𝔽2)×D4311yescharacteristic
2074C22H(5,𝔽2)×D4311yescharacteristic
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—22no—
2079C4—41no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—862no—
2087C4—862no—
2088C4—862no—
2089C4—862no—
2090C4—1721no—
2091C4—1721no—
2092C4—1721no—
2093C4—1721no—
2094C4—1721no—
2095C4—1721no—
2096C4—1721no—
2097C2—24no—
2098C2—42no—
2099C2—42no—
2100C2—81no—
2101C2—438no—
2102C2—864no—
2103C2—3441no—
2104C2—1722no—
2105C2—1722no—
2106C2#525×D4311yescharacteristic
2107C2C2×#124×D4311yescharacteristic
2108C2#538×D4311yescharacteristic
2109C2D42×D4311yescharacteristic
2110C2#546×D4311yescharacteristic
2111C2#546×D4311yescharacteristic
2112C2#551×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2472C2
prime radicalC2×#120×D43C2
hypercenter#2472D43
hypocenterC43C2×#2472
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#124×D43C2semidirect
2. C2×C22⋊Q8×D43C2semidirect
4. C22×C22⋊C4×D43C2semidirect
5. #19138728C2semidirect
6. #19138727C2semidirect
7. #19138726C2semidirect
8. #19138725C2semidirect
9. #19138724C2semidirect
10. #19138723C2semidirect
11. #19138722C2semidirect
12. #19138721C2semidirect
13. #19138720C2semidirect
14. #19138719C2semidirect
15. #19138718C2semidirect
16. #19138717C2semidirect
17. #19138716C2semidirect
18. #19138715C2semidirect
19. #19138714C2semidirect
20. #397×D43C2semidirect
21. #394×D43C2semidirect
22. #394×D43C2semidirect
23. #393×D43C2semidirect
24. #390×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #386×D43C2semidirect
28. #386×D43C2semidirect
29. #379×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2472C2semidirect
33. C22×Q8×D43C22semidirect
39. C2×#13063314C22semidirect
40. C2×#13063313C22semidirect
41. C2×#13063312C22semidirect
42. C2×#13063311C22semidirect
43. C2×#13063311C22semidirect
44. C2×#13063311C22semidirect
45. C2×#13063311C22semidirect
47. C2×#13063305C22semidirect
48. C2×#13063304C22semidirect
49. C2×#13063303C22semidirect
50. C2×#13063303C22semidirect
51. C2×#13063302C22semidirect
52. C2×#13063302C22semidirect
53. C2×#13063301C22semidirect
63. C2×C4⋊C4×D43C22semidirect
64. C2×C4⋊C4×D43C22semidirect
65. C2×C4⋊C4×D43C22semidirect
66. C22×C22⋊Dic43C22semidirect
67. C22×(C2×D43)⋊C4C22semidirect
68. C22×(C2×D43)⋊C4C22semidirect
83. C2×C22⋊C4×D43C22semidirect
84. C2×C22⋊C4×D43C22semidirect
85. C2×C22⋊C4×D43C22semidirect
86. C2×C22⋊C4×D43C22semidirect
87. C2×C22⋊C4×D43C22semidirect
88. C2×C22⋊C4×D43C22semidirect
89. C2×C22⋊C4×D43C22semidirect
90. C2×C22⋊C4×D43C22semidirect
91. C2×C42×D43C22semidirect
92. C2×C42×D43C22semidirect
93. #14582828C22semidirect
94. #14582828C22semidirect
95. #14582827C22semidirect
96. #14582827C22semidirect
97. #14582826C22semidirect
98. #14582825C22semidirect
99. #14582824C22semidirect
100. #14582817C22semidirect
101. #14582817C22semidirect
102. #14582816C22semidirect
103. #14582816C22semidirect
104. #14582815C22semidirect
105. #14582815C22semidirect
106. #14582815C22semidirect
107. #14582815C22semidirect
108. #14582814C22semidirect
109. #14582814C22semidirect
110. #14582814C22semidirect
111. #14582814C22semidirect
112. #14582813C22semidirect
113. #14582813C22semidirect
114. #14582812C22semidirect
115. #14582812C22semidirect
116. #14582812C22semidirect
117. #14582811C22semidirect
118. #14582811C22semidirect
119. #14582811C22semidirect
120. #14582810C22semidirect
121. #14582802C22semidirect
122. #14582801C22semidirect
123. #14582800C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582799C22semidirect
127. #14582799C22semidirect
128. #14582793C22semidirect
129. #14582793C22semidirect
130. #14582792C22semidirect
131. #14582792C22semidirect
132. #14582791C22semidirect
133. #14582791C22semidirect
134. #14582790C22semidirect
135. #14582790C22semidirect
136. #14582789C22semidirect
137. #14582789C22semidirect
138. #14582788C22semidirect
139. #14582788C22semidirect
140. #14582787C22semidirect
141. #14582787C22semidirect
142. #14582779C22semidirect
143. #14582779C22semidirect
144. #14582778C22semidirect
145. #14582778C22semidirect
146. #14582777C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
149. #14582777C22semidirect
150. #14582776C22semidirect
151. #14582776C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
155. #14582775C22semidirect
156. #14582755C22semidirect
157. #14582754C22semidirect
158. #14582754C22semidirect
159. #14582754C22semidirect
160. #14582754C22semidirect
161. #14582754C22semidirect
162. #14582754C22semidirect
163. C22⋊C4×Dic43C22semidirect
164. C22⋊C4×Dic43C22semidirect
165. C4×(C2×D43)⋊C4C22semidirect
166. C4×(C2×D43)⋊C4C22semidirect
167. C4×C22⋊Dic43C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #95×D43C22semidirect
171. #95×D43C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. #95×D43C22semidirect
175. #95×D43C22semidirect
176. C2×#124×C43C22semidirect
177. C2×C22⋊Q8×C43C22semidirect
179. C22×C22⋊C4×C43C22semidirect
180. C43×#397C22semidirect
181. C43×#394C22semidirect
182. C43×#394C22semidirect
183. C43×#393C22semidirect
184. C43×#390C22semidirect
185. C43×#388C22semidirect
186. C43×#388C22semidirect
187. C43×#386C22semidirect
188. C43×#386C22semidirect
189. C43×#379C22semidirect
190. C4×C22⋊C4×C43C22semidirect
205. C22×Dic86C23semidirect
206. C22×Dic86C23semidirect
207. C22×Dic86C23semidirect
273. C2×C4⋊Dic43C23semidirect
274. C2×C4⋊Dic43C23semidirect
275. C2×C4⋊Dic43C23semidirect
276. C2×Dic43⋊C4C23semidirect
277. C2×Dic43⋊C4C23semidirect
278. C2×Dic43⋊C4C23semidirect
279. C2×Dic43⋊C4C23semidirect
280. C2×Dic43⋊C4C23semidirect
281. C2×Dic43⋊C4C23semidirect
299. C2×C22⋊Dic43C23semidirect
300. C2×C22⋊Dic43C23semidirect
301. C2×C22⋊Dic43C23semidirect
302. C2×C22⋊Dic43C23semidirect
331. C2×(C2×D43)⋊C4C23semidirect
332. C2×(C2×D43)⋊C4C23semidirect
333. C2×(C2×D43)⋊C4C23semidirect
334. C2×(C2×D43)⋊C4C23semidirect
335. C2×(C2×D43)⋊C4C23semidirect
336. C2×(C2×D43)⋊C4C23semidirect
337. C2×(C2×D43)⋊C4C23semidirect
338. C2×(C2×D43)⋊C4C23semidirect
359. C22⋊C4×D43D4semidirect
360. C2×C4×Dic43C23semidirect
361. C2×C4×Dic43C23semidirect
362. C2×C4×Dic43C23semidirect
363. C2×C4×Dic43C23semidirect
364. C2×C4×Dic43C23semidirect
365. C2×C4×Dic43C23semidirect
368. C43⋊#95C23semidirect
369. C43⋊#95C23semidirect
370. C43⋊#95C23semidirect
371. C43⋊#95C23semidirect
372. C43⋊#95C23semidirect
373. C43⋊#95C23semidirect
374. C43⋊#95C23semidirect
375. C43⋊#95C23semidirect
376. C43⋊#95C23semidirect
377. C43⋊#95C23semidirect
378. C43⋊#95C23semidirect
379. C43⋊#95C23semidirect
380. C43⋊#95C23semidirect
381. C43⋊#95C23semidirect
382. C43⋊#95C23semidirect
383. C43⋊#95C23semidirect
384. C43⋊#95C23semidirect
385. C43⋊#95C23semidirect
387. C22×Q8×C43C23semidirect
396. C2×C4⋊C4×C43C23semidirect
397. C2×C4⋊C4×C43C23semidirect
398. C2×C4⋊C4×C43C23semidirect
413. C2×C22⋊C4×C43C23semidirect
414. C2×C22⋊C4×C43C23semidirect
415. C2×C22⋊C4×C43C23semidirect
416. C2×C22⋊C4×C43C23semidirect
417. C2×C42×C43C23semidirect
418. C2×C42×C43C23semidirect
419. #95×C43C23semidirect
420. #95×C43C23semidirect
421. #95×C43C23semidirect
422. #95×C43C23semidirect
423. #95×C43C23semidirect
424. #95×C43C23semidirect
649. C22⋊C4×C43C2×D4semidirect
668. C22⋊Dic43C2×D4semidirect
701. (C2×D43)⋊C4C2×D4semidirect
702. (C2×D43)⋊C4C2×D4semidirect
826. C22×D43#124semidirect
969. C22×C43C2×#124semidirect
1013. C2×D43C2×#124semidirect
1060. #2472D43direct (N × H)
1087. D43#2472direct (N × H)
1103. C2×#124C2×D43semidirect
1112. C2×C22⋊Q8C2×D43semidirect
1150. C22×C22⋊C4C2×D43semidirect
1160. #397C2×D43semidirect
1175. #394C2×D43semidirect
1176. #394C2×D43semidirect
1184. #393C2×D43semidirect
1192. #390C2×D43semidirect
1207. #388C2×D43semidirect
1208. #388C2×D43semidirect
1223. #386C2×D43semidirect
1224. #386C2×D43semidirect
1232. #379C2×D43semidirect
1240. C4×C22⋊C4C2×D43semidirect
1247. C43C2×#2472semidirect
1269. C22×Q8C22×D43semidirect
1352. C2×C4⋊C4C22×D43semidirect
1353. C2×C4⋊C4C22×D43semidirect
1354. C2×C4⋊C4C22×D43semidirect
1444. C2×C22⋊C4C22×D43semidirect
1445. C2×C22⋊C4C22×D43semidirect
1446. C2×C22⋊C4C22×D43semidirect
1447. C2×C22⋊C4C22×D43semidirect
1456. C2×C42C22×D43semidirect
1457. C2×C42C22×D43semidirect
1476. #95C22×D43semidirect
1477. #95C22×D43semidirect
1478. #95C22×D43semidirect
1479. #95C22×D43semidirect
1480. #95C22×D43semidirect
1481. #95C22×D43semidirect
1766. C22⋊C4D4×D43semidirect
2067. C22#124×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D432
C2×C22⋊Q8×D432
C2×#120×D432
C22×C22⋊C4×D432
#191387282
#191387272
#191387262
#191387252
#191387242
#191387232
#191387222
#191387212
#191387202
#191387192
#191387182
#191387172
#191387162
#191387152
#191387142
#397×D432
#394×D432
#393×D432
#390×D432
#388×D432
#386×D432
#379×D432
C4×C22⋊C4×D432
C43×#24722
C2×#247243