Finite Group Databasebeta

← #25303664

Subgroups — #25303664

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583482C211yesmaximal, characteristic, complemented
2C2×#14583408C211yesmaximal, characteristic, complemented
3#19142888C211yesmaximal, characteristic, complemented
4#19142878C211yesmaximal, characteristic, complemented
5#19141266C211yesmaximal, characteristic, complemented
6#19141221C211yesmaximal, characteristic, complemented
7#19141191C211yesmaximal, characteristic, complemented
8#19141180C211yesmaximal, characteristic, complemented
9#19141014C211yesmaximal, characteristic, complemented
10#19140957C211yesmaximal, characteristic, complemented
11#19140945C211yesmaximal, characteristic, complemented
12#19140942C211yesmaximal, characteristic, complemented
13#19140930C211yesmaximal, characteristic, complemented
14#19140918C211yesmaximal, characteristic, complemented
15#19140915C211yesmaximal, characteristic, complemented
16#19140915C211yesmaximal, characteristic, complemented
17#19140844C211yesmaximal, characteristic, complemented
18#19140819C211yesmaximal, characteristic, complemented
19#19140810C211yesmaximal, characteristic, complemented
20#19140810C211yesmaximal, characteristic, complemented
21#19140482C211yesmaximal, characteristic, complemented
22#19140436C211yesmaximal, characteristic, complemented
23#19140276C211yesmaximal, characteristic, complemented
24#19140222C211yesmaximal, characteristic, complemented
25#19140186C211yesmaximal, characteristic, complemented
26#19140182C211yesmaximal, characteristic, complemented
27#19139566C211yesmaximal, characteristic, complemented
28#19139487C211yesmaximal, characteristic, complemented
29#19137941C211yesmaximal, characteristic, complemented
30#19137916C211yesmaximal, characteristic, complemented
31C43×#2319C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34#14583482—28no—
35C2×#13063322C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063319C2211yescharacteristic, complemented
38C2×#13063313C2211yescharacteristic, complemented
39C2×#13063313C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic
41#14583408—28no—
42C2×#13063310C2211yescharacteristic, complemented
43C2×#13063310C2211yescharacteristic, complemented
44C2×#13063309C2211yescharacteristic
45C2×#13063309C2211yescharacteristic
46C2×#13063308C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063305C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063302C2211yescharacteristic, complemented
51C2×#13063302C2211yescharacteristic, complemented
52C2×#13063300C2211yescharacteristic
53C2×#13063300C2211yescharacteristic
54C2×#13063300C2211yescharacteristic, complemented
55C2×#13063299C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063298C2211yescharacteristic
58C2×#13063297C2211yescharacteristic
59C2×#13063297C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063295C2211yescharacteristic
62C2×#13063295C2211yescharacteristic
63C2×#13063295C2211yescharacteristic
64C2×#13063295C2211yescharacteristic, complemented
65C2×#13063295C2211yescharacteristic, complemented
66C2×#13063295C2211yescharacteristic, complemented
67C2×#13063295C2211yescharacteristic, complemented
68C2×#13063293C2211yescharacteristic
69C2×#13063293C2211yescharacteristic
70C2×C4×D172C2211yescharacteristic, complemented
71C2×C4×C22⋊D43C2211yescharacteristic
72C2×C4×C22⋊D43C2211yescharacteristic, complemented
73C2×C4×C22⋊D43C2211yescharacteristic, complemented
74C2×#13063282C2211yescharacteristic, complemented
75C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
76#14582839C2211yescharacteristic, complemented
77#14582836C2211yescharacteristic, complemented
78#14582831C2211yescharacteristic, complemented
79#14582829C2211yescharacteristic, complemented
80#14582829C2211yescharacteristic, complemented
81#14582826C2211yescharacteristic, complemented
82#14582824C2211yescharacteristic, complemented
83#14582824C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582820C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic, complemented
93#14582817C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic
97#14582816C2211yescharacteristic
98#14582816C2211yescharacteristic, complemented
99#14582816C2211yescharacteristic, complemented
100#14582816C2211yescharacteristic, complemented
101#14582816C2211yescharacteristic, complemented
102#14582815C2211yescharacteristic
103#14582815C2211yescharacteristic
104#14582815C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582815C2211yescharacteristic, complemented
107#14582815C2211yescharacteristic, complemented
108#14582815C2211yescharacteristic, complemented
109#14582815C2211yescharacteristic, complemented
110#14582812C2211yescharacteristic, complemented
111#14582812C2211yescharacteristic, complemented
112#14582812C2211yescharacteristic, complemented
113#14582809C2211yescharacteristic
114#14582809C2211yescharacteristic
115#14582809C2211yescharacteristic
116#14582809C2211yescharacteristic
117#14582809C2211yescharacteristic, complemented
118#14582808C2211yescharacteristic
119#14582808C2211yescharacteristic
120#14582808C2211yescharacteristic
121#14582808C2211yescharacteristic
122#14582808C2211yescharacteristic, complemented
123#14582808C2211yescharacteristic, complemented
124#14582805C2211yescharacteristic, complemented
125#14582804C2211yescharacteristic, complemented
126#14582801C2211yescharacteristic
127#14582801C2211yescharacteristic
128#14582801C2211yescharacteristic
129#14582801C2211yescharacteristic, complemented
130#14582801C2211yescharacteristic, complemented
131#14582801C2211yescharacteristic, complemented
132#14582800C2211yescharacteristic, complemented
133#14582797C2211yescharacteristic, complemented
134#14582791C2211yescharacteristic, complemented
135#14582791C2211yescharacteristic, complemented
136#14582791C2211yescharacteristic, complemented
137#14582791C2211yescharacteristic, complemented
138#14582790C2211yescharacteristic, complemented
139#14582790C2211yescharacteristic, complemented
140#14582790C2211yescharacteristic, complemented
141#14582790C2211yescharacteristic, complemented
142#14582790C2211yescharacteristic, complemented
143#14582790C2211yescharacteristic, complemented
144#14582784C2211yescharacteristic, complemented
145#14582784C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582777C2211yescharacteristic
151#14582777C2211yescharacteristic
152#14582777C2211yescharacteristic, complemented
153#14582777C2211yescharacteristic, complemented
154#14582777C2211yescharacteristic, complemented
155#14582777C2211yescharacteristic, complemented
156#14582777C2211yescharacteristic, complemented
157#14582777C2211yescharacteristic, complemented
158#14582776C2211yescharacteristic
159#14582776C2211yescharacteristic
160#14582776C2211yescharacteristic, complemented
161#14582776C2211yescharacteristic, complemented
162#14582773C2211yescharacteristic, complemented
163#14582773C2211yescharacteristic, complemented
164#14582773C2211yescharacteristic, complemented
165#14582773C2211yescharacteristic, complemented
166#14582773C2211yescharacteristic, complemented
167#14582773C2211yescharacteristic, complemented
168#14582760C2211yescharacteristic, complemented
169#14582760C2211yescharacteristic, complemented
170#14582756C2211yescharacteristic, complemented
171#14582756C2211yescharacteristic, complemented
172#14582754C2211yescharacteristic, complemented
173#14582754C2211yescharacteristic, complemented
174C2×C4×D4×C43C2211yescharacteristic
175C43×#390C2211yescharacteristic
176C43×#390C2211yescharacteristic
177C43×#389C2211yescharacteristic, complemented
178C43×#389C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#381C2211yescharacteristic, complemented
184C43×#381C2211yescharacteristic, complemented
185C43×#380C2211yescharacteristic, complemented
186C43×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, complemented
188C43×#376C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621898—24no—
192C2×#10621898—42no—
193C2×#10621898—42no—
194C22×Dic86C2311yescharacteristic
195C22×Dic86C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×D172C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C23×Dic43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C22×C4×D43—24no—
220C22×C4×D43—42no—
221C22×C4×D43—42no—
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228#13063322—42no—
229#13063320—24no—
230#13063319—24no—
231#13063313—24no—
232#13063313—42no—
233#13063311—24no—
234#13063310—24no—
235#13063310—24no—
236#13063309—42no—
237#13063309—42no—
238#13063308—24no—
239#13063307—24no—
240#13063305—42no—
241#13063303—24no—
242#13063302—24no—
243#13063302—24no—
244#13063300—42no—
245#13063300—42no—
246#13063300—42no—
247#13063299—24no—
248#13063298—24no—
249#13063298—24no—
250#13063297—24no—
251#13063297—24no—
252#13063295—24no—
253#13063295—24no—
254#13063295—42no—
255#13063295—42no—
256#13063295—42no—
257#13063295—42no—
258#13063295—42no—
259#13063295—42no—
260#13063293—24no—
261#13063293—24no—
262C4×D172—24no—
263C4×C22⋊D43—24no—
264C4×C22⋊D43—24no—
265C4×C22⋊D43—24no—
266#13063282—24no—
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
274C2×C4⋊Dic43C2311yescharacteristic
275C2×C4⋊Dic43C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×(C2×D43)⋊C4—24no—
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
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
332C2×(C2×D43)⋊C4C2311yescharacteristic
333C2×(C2×D43)⋊C4C2311yescharacteristic
334C2×(C2×D43)⋊C4C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C4×D4×C43D418yescomplemented
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43C2×D414yes—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43C2×D414yes—
421C22×C4×C43C2×D414yes—
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—41no—
463C22×Dic43—41no—
464C22×Dic43—41no—
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475#10621898—416no—
476C2×D172—22no—
477C2×D172—22no—
478C2×D172—22no—
479C2×D172—22no—
480C2×D172—22no—
481C2×D172—22no—
482C2×D172—22no—
483C2×D172—22no—
484C2×D172—22no—
485C2×D172—22no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172—41no—
514C2×D172—41no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—416no—
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—41no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—41no—
541C4⋊C4×C43—41no—
542C4⋊C4×C43—41no—
543C4⋊C4×C43—41no—
544C4⋊C4×C43—41no—
545C4⋊C4×C43—41no—
546C4⋊C4×C43C2×D414yes—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43C2×D414yes—
556C22⋊C4×C43C2×D414yes—
557C42×C43—41no—
558C42×C43—41no—
559C42×C43—41no—
560C42×C43—41no—
561C42×C43C2×D414yes—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612C4⋊Dic43—22no—
613C4⋊Dic43—22no—
614C4⋊Dic43—22no—
615C4⋊Dic43—41no—
616C4⋊Dic43—41no—
617C4⋊Dic43—41no—
618C4⋊Dic43—41no—
619C4⋊Dic43—41no—
620C4⋊Dic43—41no—
621Dic43⋊C4—22no—
622Dic43⋊C4—22no—
623Dic43⋊C4—22no—
624Dic43⋊C4—22no—
625Dic43⋊C4—22no—
626Dic43⋊C4—22no—
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629C4×Dic43—22no—
630C4×Dic43—22no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43C22×D412yes—
644C23×C43C22×D412yes—
645C23×C43C2511yescharacteristic
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—44no—
694C22×D43—82no—
695C22×D43—82no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43—82no—
700C22×D43H(5,𝔽2)12yes—
701C22×D43H(5,𝔽2)12yes—
702D4×C43—44no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—44no—
738C2×C4×C43—44no—
739C2×C4×C43C22×D412yes—
740C2×C4×C43C22×D412yes—
741C2×C4×C43C22×D412yes—
742C2×C4×C43C22×D412yes—
743C2×C4×C43C22×D412yes—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—44no—
747C22⋊D43—44no—
748C22⋊D43—44no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—44no—
782C2×Dic43—82no—
783C2×Dic43H(5,𝔽2)12yes—
784D172—44no—
785D172—44no—
786D172—82no—
787D172—82no—
788D172—82no—
789D172—82no—
790D172—82no—
791D172—82no—
792D172—82no—
793D172—82no—
794D172—82no—
795D172—82no—
796D172—82no—
797C4×D43—28no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—82no—
803Dic86—44no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43C23×D411yescharacteristic
821C22×C43C2×H(5,𝔽2)11yescharacteristic
822C22×C43C2×H(5,𝔽2)11yescharacteristic
823C22×C43C2×H(5,𝔽2)11yescharacteristic
824C22×C43#58511yescharacteristic
825C22×C43#58511yescharacteristic
826C22×C43#58511yescharacteristic
827C2×D43—22no—
828C2×D43—22no—
829C2×D43—22no—
830C2×D43—22no—
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—416no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—22no—
875C4×C43—22no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884Dic43—22no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894C2×#538—431no—
895C2×#525—431no—
896#2849—431no—
897#2847—431no—
898#2705—431no—
899#2702—431no—
900#2700—431no—
901#2699—431no—
902#2687—431no—
903#2682—431no—
904#2681—431no—
905#2681—431no—
906#2679—431no—
907#2678—431no—
908#2678—431no—
909#2678—431no—
910#2672—431no—
911#2670—431no—
912#2669—431no—
913#2669—431no—
914#2635—431no—
915#2630—431no—
916#2610—431no—
917#2603—431no—
918#2601—431no—
919#2600—431no—
920#2544—431no—
921#2534—431no—
922#2407—431no—
923#2404—431no—
924#2319D4311yescharacteristic, complemented
925C2×C43—42no—
926C2×C43—42no—
927C2×C43#344911yescharacteristic
928C2×C43#348411yescharacteristic
929C2×C43#348811yescharacteristic
930C2×C43#353311yescharacteristic
931C2×C43#353411yescharacteristic
932C2×C43#354011yescharacteristic
933C2×C43#354211yescharacteristic
934D43—42no—
935D43—42no—
936D43—81no—
937D43—81no—
938D43—81no—
939D43—81no—
940C22×#41—431no—
941C24×C4—431no—
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#124—431no—
947C2×#124—431no—
948C2×#124—431no—
949#525—868no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123—431no—
955C2×#123—431no—
956C2×C22⋊Q8—431no—
957C2×C22⋊Q8—431no—
958C2×C22⋊Q8—431no—
959C2×C22⋊Q8—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×#120—431no—
976C2×#120—431no—
977C2×#120—431no—
978C2×C4×D4—431no—
979C2×C4×D4—431no—
980C2×C4×D4—431no—
981C2×C4×D4—431no—
982C2×C4×D4C2×D4311yescharacteristic
983C2×#117—431no—
984C22×C22⋊C4—431no—
985#400—431no—
986#399—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#395—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394—431no—
1014#394—431no—
1015#394—431no—
1016#394—431no—
1017#394—431no—
1018#394—431no—
1019#393—431no—
1020#393—431no—
1021#393—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#392—431no—
1031#392—431no—
1032#392—431no—
1033#391—431no—
1034#391—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390C2×D4311yescharacteristic
1043#390C2×D4311yescharacteristic
1044#389—431no—
1045#389C2×D4311yescharacteristic, complemented
1046#389C2×D4311yescharacteristic, complemented
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388C2×D4311yescharacteristic, complemented
1058#388C2×D4311yescharacteristic, complemented
1059#388C2×D4311yescharacteristic, complemented
1060#388C2×D4311yescharacteristic, complemented
1061#387—431no—
1062#387—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#385—431no—
1083#385—431no—
1084#385—431no—
1085#381—431no—
1086#381—431no—
1087#381C2×D4311yescharacteristic, complemented
1088#381C2×D4311yescharacteristic, complemented
1089#380—431no—
1090#380—431no—
1091#380C2×D4311yescharacteristic, complemented
1092#380C2×D4311yescharacteristic, complemented
1093#379—431no—
1094#379—431no—
1095C4×C4⋊C4C2×D4311yescharacteristic, complemented
1096#376C2×D4311yescharacteristic, complemented
1097C43#3672411yescharacteristic, complemented, Sylow
1098C25—431no—
1099C25—431no—
1100C2×#41—864no—
1101C2×#41—1722no—
1102C2×#41—1722no—
1103C22×Q8—431no—
1104C22×Q8—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4—431no—
1123C22×D4—431no—
1124C22×D4—431no—
1125C22×D4—431no—
1126C22×D4C22×D4311yescharacteristic
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—864no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—864no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—1722no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—864no—
1157#121—864no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—1722no—
1162#121—1722no—
1163#121—1722no—
1164#120—864no—
1165#120—864no—
1166#120—864no—
1167#120—864no—
1168#120—1722no—
1169#120—1722no—
1170#120—1722no—
1171#120—1722no—
1172#120—1722no—
1173#120—1722no—
1174C4×D4—864no—
1175C4×D4—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4D17218yescomplemented
1179#117—864no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—864no—
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4C22×D4311yescharacteristic
1264C2×C22⋊C4C22×D4311yescharacteristic
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42C22×D4311yescharacteristic
1268C2×C42C22×D4311yescharacteristic
1269C2×C42C22×D4311yescharacteristic
1270C2×C42C22×D4311yescharacteristic
1271C2×C42C22×D4311yescharacteristic
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95C22×D4311yescharacteristic
1291#95C22×D4311yescharacteristic
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300C24—431no—
1301C24—431no—
1302C24—431no—
1303C24—431no—
1304C24—431no—
1305C24—431no—
1306C24—862no—
1307C24—862no—
1308C24—862no—
1309C24—862no—
1310C24—1721no—
1311C24—1721no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24—1721no—
1318C24—1721no—
1319C24—1721no—
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—17216no—
1323C2×Q8—862no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×Q8—1721no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4C2×D17214yes—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—1721no—
1423C22×C4—1721no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—17216no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4C2×D17214yes—
1435C22×C4C2×D17214yes—
1436C22×C4C23×D4311yescharacteristic
1437C22×C4C23×D4311yescharacteristic
1438C22×C4C23×D4311yescharacteristic
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—862no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4C2×D17214yes—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—862no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4C2×D17214yes—
1532C22⋊C4C2×D17214yes—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—862no—
1538C42—862no—
1539C42C2×D17214yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—432no—
1553C23—432no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—3442no—
1595C23—3442no—
1596C23—3442no—
1597C23—3442no—
1598C23—3442no—
1599C23—3442no—
1600C23—1724no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23C22×D17212yes—
1609C23C22×D17212yes—
1610C23C24×D4311yescharacteristic
1611Q8—3442no—
1612Q8—1724no—
1613D4—44no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—1724no—
1629D4—1724no—
1630D4—1724no—
1631D4—1724no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—432no—
1672C2×C4—868no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—3442no—
1703C2×C4—3442no—
1704C2×C4—1724no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4C22×D17212yes—
1710C2×C4C22×D17212yes—
1711C2×C4C22×D17212yes—
1712C2×C4C22×D17212yes—
1713C2×C4C22×D17212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—862no—
1729C22—862no—
1730C22—862no—
1731C22—862no—
1732C22—862no—
1733C22—862no—
1734C22—3448no—
1735C22—17216no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22C23×D17211yescharacteristic
1773C22H(5,𝔽2)×D4311yescharacteristic
1774C22H(5,𝔽2)×D4311yescharacteristic
1775C22H(5,𝔽2)×D4311yescharacteristic
1776C22#1458373511yescharacteristic
1777C22#1458373511yescharacteristic
1778C22#1458373611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—862no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C2—42no—
1803C2—42no—
1804C2—3441no—
1805C2—3441no—
1806C2—3441no—
1807C2—3441no—
1808C2—1722no—
1809C2—1722no—
1810C2#1914792811yescharacteristic
1811C2#1914823111yescharacteristic
1812C2#1914826511yescharacteristic
1813C2#1914875811yescharacteristic
1814C2#1914877811yescharacteristic
1815C2#1914886011yescharacteristic
1816C2#1914890211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2319C2
hypercenter#2319D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#14583482C2semidirect
2. C2×#14583408C2semidirect
3. #19142888C2semidirect
4. #19142878C2semidirect
5. #19141266C2semidirect
6. #19141221C2semidirect
7. #19141191C2semidirect
8. #19141180C2semidirect
9. #19141014C2semidirect
10. #19140957C2semidirect
11. #19140945C2semidirect
12. #19140942C2semidirect
13. #19140930C2semidirect
14. #19140918C2semidirect
15. #19140915C2semidirect
16. #19140915C2semidirect
17. #19140844C2semidirect
18. #19140819C2semidirect
19. #19140810C2semidirect
20. #19140810C2semidirect
21. #19140482C2semidirect
22. #19140436C2semidirect
23. #19140276C2semidirect
24. #19140222C2semidirect
25. #19140186C2semidirect
26. #19140182C2semidirect
27. #19139566C2semidirect
28. #19139487C2semidirect
29. #19137941C2semidirect
30. #19137916C2semidirect
31. C43×#2319C2semidirect
33. C23×C4×D43C22semidirect
36. C2×#13063320C22semidirect
37. C2×#13063319C22semidirect
38. C2×#13063313C22semidirect
39. C2×#13063313C22semidirect
42. C2×#13063310C22semidirect
43. C2×#13063310C22semidirect
48. C2×#13063305C22semidirect
49. C2×#13063303C22semidirect
50. C2×#13063302C22semidirect
51. C2×#13063302C22semidirect
54. C2×#13063300C22semidirect
64. C2×#13063295C22semidirect
65. C2×#13063295C22semidirect
66. C2×#13063295C22semidirect
67. C2×#13063295C22semidirect
70. C2×C4×D172C22semidirect
72. C2×C4×C22⋊D43C22semidirect
73. C2×C4×C22⋊D43C22semidirect
74. C2×#13063282C22semidirect
75. C22×(C2×D43)⋊C4C22semidirect
76. #14582839C22semidirect
77. #14582836C22semidirect
78. #14582831C22semidirect
79. #14582829C22semidirect
80. #14582829C22semidirect
81. #14582826C22semidirect
82. #14582824C22semidirect
83. #14582824C22semidirect
84. #14582821C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582821C22semidirect
90. #14582820C22semidirect
91. #14582817C22semidirect
92. #14582817C22semidirect
93. #14582817C22semidirect
98. #14582816C22semidirect
99. #14582816C22semidirect
100. #14582816C22semidirect
101. #14582816C22semidirect
106. #14582815C22semidirect
107. #14582815C22semidirect
108. #14582815C22semidirect
109. #14582815C22semidirect
110. #14582812C22semidirect
111. #14582812C22semidirect
112. #14582812C22semidirect
117. #14582809C22semidirect
122. #14582808C22semidirect
123. #14582808C22semidirect
124. #14582805C22semidirect
125. #14582804C22semidirect
129. #14582801C22semidirect
130. #14582801C22semidirect
131. #14582801C22semidirect
132. #14582800C22semidirect
133. #14582797C22semidirect
134. #14582791C22semidirect
135. #14582791C22semidirect
136. #14582791C22semidirect
137. #14582791C22semidirect
138. #14582790C22semidirect
139. #14582790C22semidirect
140. #14582790C22semidirect
141. #14582790C22semidirect
142. #14582790C22semidirect
143. #14582790C22semidirect
144. #14582784C22semidirect
145. #14582784C22semidirect
152. #14582777C22semidirect
153. #14582777C22semidirect
154. #14582777C22semidirect
155. #14582777C22semidirect
156. #14582777C22semidirect
157. #14582777C22semidirect
160. #14582776C22semidirect
161. #14582776C22semidirect
162. #14582773C22semidirect
163. #14582773C22semidirect
164. #14582773C22semidirect
165. #14582773C22semidirect
166. #14582773C22semidirect
167. #14582773C22semidirect
168. #14582760C22semidirect
169. #14582760C22semidirect
170. #14582756C22semidirect
171. #14582756C22semidirect
172. #14582754C22semidirect
173. #14582754C22semidirect
177. C43×#389C22semidirect
178. C43×#389C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#381C22semidirect
184. C43×#381C22semidirect
185. C43×#380C22semidirect
186. C43×#380C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C43×#376C22semidirect
358. C4×D4×C43D4semidirect
924. #2319D43semidirect
1045. #389C2×D43semidirect
1046. #389C2×D43semidirect
1057. #388C2×D43semidirect
1058. #388C2×D43semidirect
1059. #388C2×D43semidirect
1060. #388C2×D43semidirect
1087. #381C2×D43semidirect
1088. #381C2×D43semidirect
1091. #380C2×D43semidirect
1092. #380C2×D43semidirect
1095. C4×C4⋊C4C2×D43semidirect
1096. #376C2×D43semidirect
1097. C43#36724semidirect
1178. C4×D4D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145834822
C2×#145834082
#191428882
#191428782
#191412662
#191412212
#191411912
#191411802
#191410142
#191409572
#191409452
#191409422
#191409302
#191409182
#191409152
#191408442
#191408192
#191408102
#191404822
#191404362
#191402762
#191402222
#191401862
#191401822
#191395662
#191394872
#191379412
#191379162
C43×#23192
#3672443