Finite Group Databasebeta

← D43×#2444 #25264327

Subgroups — D43×#2444 #25264327

Order 11008.

3546 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D43C211yesmaximal, characteristic
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19138352C211yesmaximal, characteristic, complemented
4#19138351C211yesmaximal, characteristic, complemented
5#19138350C211yesmaximal, characteristic, complemented
6#19138349C211yesmaximal, characteristic, complemented
7#19138348C211yesmaximal, characteristic, complemented
8#19138347C211yesmaximal, characteristic, complemented
9#19138346C211yesmaximal, characteristic, complemented
10#19138345C211yesmaximal, characteristic, complemented
11#19138344C211yesmaximal, characteristic, complemented
12#19138343C211yesmaximal, characteristic, complemented
13#19138342C211yesmaximal, characteristic, complemented
14#19138341C211yesmaximal, characteristic, complemented
15#19138340C211yesmaximal, characteristic, complemented
16#19138339C211yesmaximal, characteristic, complemented
17#19138338C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#397×D43C211yesmaximal, characteristic, complemented
20#397×D43C211yesmaximal, characteristic, complemented
21#394×D43C211yesmaximal, characteristic, complemented
22#388×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#386×D43C211yesmaximal, characteristic, complemented
25#386×D43C211yesmaximal, characteristic, complemented
26#386×D43C211yesmaximal, characteristic, complemented
27#386×D43C211yesmaximal, characteristic, complemented
28#385×D43C211yesmaximal, characteristic, complemented
29#381×D43C211yesmaximal, characteristic, complemented
30C2×#95×D43C211yesmaximal, characteristic, complemented
31C43×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic
37C23×C4×D43C2211yescharacteristic
38C23×C4×D43C2211yescharacteristic
39C2×#13063300C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063297C2211yescharacteristic
44C2×#13063297C2211yescharacteristic
45C2×#13063296C2211yescharacteristic
46#121×D43—28no—
47C2×C4×D172C2211yescharacteristic, complemented
48C2×D4×Dic43C2211yescharacteristic, complemented
49C2×#13063287C2211yescharacteristic, complemented
50C2×C4×C22⋊D43C2211yescharacteristic, complemented
51C2×C4×C22⋊D43C2211yescharacteristic, complemented
52C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
53C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
54C4×D4×D43—28no—
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582840C2211yescharacteristic, complemented
75#14582839C2211yescharacteristic, complemented
76#14582838C2211yescharacteristic, complemented
77#14582837C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582827C2211yescharacteristic, complemented
83#14582827C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582826C2211yescharacteristic, complemented
87#14582826C2211yescharacteristic, complemented
88#14582825C2211yescharacteristic, complemented
89#14582825C2211yescharacteristic, complemented
90#14582824C2211yescharacteristic, complemented
91#14582824C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582814C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic, complemented
98#14582813C2211yescharacteristic, complemented
99#14582793C2211yescharacteristic, complemented
100#14582792C2211yescharacteristic, complemented
101#14582791C2211yescharacteristic, complemented
102#14582790C2211yescharacteristic, complemented
103#14582789C2211yescharacteristic, complemented
104#14582788C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582786C2211yescharacteristic, complemented
107#14582785C2211yescharacteristic, complemented
108#14582784C2211yescharacteristic, complemented
109#14582783C2211yescharacteristic, complemented
110#14582782C2211yescharacteristic, complemented
111#14582781C2211yescharacteristic, complemented
112#14582780C2211yescharacteristic, complemented
113#14582779C2211yescharacteristic, complemented
114#14582779C2211yescharacteristic, complemented
115#14582779C2211yescharacteristic, complemented
116#14582779C2211yescharacteristic, complemented
117#14582778C2211yescharacteristic, complemented
118#14582778C2211yescharacteristic, complemented
119#14582778C2211yescharacteristic, complemented
120#14582778C2211yescharacteristic, complemented
121#14582777C2211yescharacteristic, complemented
122#14582777C2211yescharacteristic, complemented
123#14582777C2211yescharacteristic, complemented
124#14582777C2211yescharacteristic, complemented
125#14582777C2211yescharacteristic, complemented
126#14582777C2211yescharacteristic, complemented
127#14582777C2211yescharacteristic, complemented
128#14582777C2211yescharacteristic, complemented
129#14582776C2211yescharacteristic, complemented
130#14582776C2211yescharacteristic, complemented
131#14582776C2211yescharacteristic, complemented
132#14582776C2211yescharacteristic, complemented
133#14582775C2211yescharacteristic, complemented
134#14582775C2211yescharacteristic, complemented
135#14582775C2211yescharacteristic, complemented
136#14582775C2211yescharacteristic, complemented
137#14582775C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic, complemented
141#14582774C2211yescharacteristic, complemented
142#14582773C2211yescharacteristic, complemented
143#14582773C2211yescharacteristic, complemented
144#14582772C2211yescharacteristic, complemented
145#14582771C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic, complemented
147#14582770C2211yescharacteristic, complemented
148#14582762C2211yescharacteristic, complemented
149#14582761C2211yescharacteristic, complemented
150#14582761C2211yescharacteristic, complemented
151#14582761C2211yescharacteristic, complemented
152#14582761C2211yescharacteristic, complemented
153#14582760C2211yescharacteristic, complemented
154#14582760C2211yescharacteristic, complemented
155C2×C43⋊#95C2211yescharacteristic, complemented
156C2×C43⋊#95C2211yescharacteristic, complemented
157C2×C43⋊#95C2211yescharacteristic, complemented
158#95×D43C2211yescharacteristic
159#95×D43C2211yescharacteristic
160#95×D43C2211yescharacteristic
161#95×D43C2211yescharacteristic
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic, complemented
171#95×D43C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C2×D4×D43—24no—
202C2×D4×D43—24no—
203C2×D4×D43—24no—
204C2×D4×D43—24no—
205C2×D4×D43—24no—
206C2×D4×D43—24no—
207C2×D4×D43—24no—
208C2×D4×D43—42no—
209C2×D4×D43D418yes—
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C22×C4×D43—24no—
215C22×C4×D43—24no—
216C22×C4×D43—24no—
217C22×C4×D43—24no—
218C22×C4×D43—24no—
219C22×C4×D43—24no—
220C22×C4×D43—24no—
221C22×C4×D43—42no—
222C22×C4×D43—42no—
223C22×C4×D43—42no—
224C22×C4×D43—42no—
225C22×C4×D43—42no—
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
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
246#13063300—24no—
247#13063299—24no—
248#13063298—24no—
249#13063298—24no—
250#13063297—24no—
251#13063297—24no—
252#13063296—24no—
253C4×D172—24no—
254D4×Dic43—24no—
255#13063287—24no—
256C4×C22⋊D43—24no—
257C4×C22⋊D43—24no—
258(C22⋊D43)⋊C4—24no—
259(C22⋊D43)⋊C4—24no—
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C4⋊C4×D43—24no—
273C4⋊C4×D43—24no—
274C4⋊C4×D43—24no—
275C4⋊C4×D43—42no—
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
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
309C22⋊C4×D43—24no—
310C22⋊C4×D43—24no—
311C22⋊C4×D43—24no—
312C22⋊C4×D43—24no—
313C22⋊C4×D43—24no—
314C22⋊C4×D43—24no—
315C22⋊C4×D43—42no—
316C22⋊C4×D43—42no—
317C22⋊C4×D43—42no—
318C22⋊C4×D43—42no—
319C22⋊C4×D43—42no—
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C42×D43—24no—
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C23×C4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367#121×C43—24no—
368C4×D4×C43—24no—
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C42×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—22no—
413C23×D43—22no—
414C23×D43—22no—
415C23×D43—22no—
416C23×D43—22no—
417C23×D43C2×D414yes—
418C23×D43C2×D414yes—
419C23×D43#4114yes—
420C23×D43#4114yes—
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—41no—
433C2×D4×C43C2×D414yes—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43C2×D414yes—
475C2×C22⋊D43C2×D414yes—
476C22×Dic43—22no—
477C22×Dic43—22no—
478C22×Dic43—22no—
479C22×Dic43—22no—
480C22×Dic43—22no—
481C22×Dic43—22no—
482C22×Dic43—22no—
483C22×Dic43—41no—
484C22×Dic43—41no—
485C22×Dic43—41no—
486C22×Dic43—41no—
487C22×Dic43—41no—
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490C22×Dic43C2411yescharacteristic
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2411yescharacteristic
493C22×Dic43C2411yescharacteristic
494C22×Dic43C2411yescharacteristic
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500D4×D43—232no—
501D4×D43—416no—
502D4×D43—416no—
503C2×D172—22no—
504C2×D172—22no—
505C2×D172—22no—
506C2×D172—22no—
507C2×D172—22no—
508C2×D172—22no—
509C2×D172—22no—
510C2×D172—41no—
511C2×D172C2×D414yes—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
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—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—22no—
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—22no—
545C2×C4×D43—22no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—22no—
549C2×C4×D43—22no—
550C2×C4×D43—22no—
551C2×C4×D43—22no—
552C2×C4×D43—22no—
553C2×C4×D43—22no—
554C2×C4×D43—22no—
555C2×C4×D43—22no—
556C2×C4×D43—22no—
557C2×C4×D43—22no—
558C2×C4×D43—22no—
559C2×C4×D43—416no—
560C2×C4×D43—416no—
561C2×C4×D43—416no—
562C2×C4×D43—41no—
563C2×C4×D43—41no—
564C2×C4×D43—41no—
565C2×C4×D43—41no—
566C2×C4×D43—41no—
567C2×C4×D43—41no—
568C2×C4×D43—41no—
569C2×C4×D43—41no—
570C2×C4×D43—41no—
571C2×C4×D43—41no—
572C2×C4×D43—416no—
573C2×C4×D43C2×D414yes—
574C2×C4×D43#4114yes—
575C2×C4×D43#4114yes—
576C4⋊C4×C43—22no—
577C4⋊C4×C43—22no—
578C4⋊C4×C43—22no—
579C4⋊C4×C43—41no—
580C22⋊C4×C43—22no—
581C22⋊C4×C43—22no—
582C22⋊C4×C43—22no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—22no—
585C22⋊C4×C43—22no—
586C22⋊C4×C43—41no—
587C22⋊C4×C43—41no—
588C22⋊C4×C43—41no—
589C22⋊C4×C43—41no—
590C22⋊C4×C43—41no—
591C42×C43—22no—
592C22⋊Dic43—22no—
593C22⋊Dic43—22no—
594C22⋊Dic43—22no—
595C22⋊Dic43—22no—
596C22⋊Dic43—22no—
597C22⋊Dic43—22no—
598C22⋊Dic43—41no—
599C22⋊Dic43—41no—
600C22⋊Dic43—41no—
601C22⋊Dic43—41no—
602C22⋊Dic43—41no—
603(C2×D43)⋊C4—22no—
604(C2×D43)⋊C4—22no—
605(C2×D43)⋊C4—22no—
606(C2×D43)⋊C4—22no—
607(C2×D43)⋊C4—22no—
608(C2×D43)⋊C4—22no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
611(C2×D43)⋊C4—22no—
612(C2×D43)⋊C4—22no—
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—41no—
616(C2×D43)⋊C4—41no—
617(C2×D43)⋊C4—41no—
618(C2×D43)⋊C4—41no—
619(C2×D43)⋊C4—41no—
620(C2×D43)⋊C4—41no—
621(C2×D43)⋊C4—41no—
622(C2×D43)⋊C4—41no—
623(C2×D43)⋊C4—41no—
624(C2×D43)⋊C4—41no—
625C4⋊Dic43—22no—
626C4⋊Dic43—22no—
627C4⋊Dic43—22no—
628C4⋊Dic43—41no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—22no—
633Dic43⋊C4—22no—
634Dic43⋊C4—22no—
635Dic43⋊C4—41no—
636Dic43⋊C4—41no—
637C4×Dic43—22no—
638C4×Dic43—22no—
639C4×Dic43—22no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43C22×D412yes—
658C23×C43C22×D412yes—
659C23×C43C2×#4112yes—
660C23×C43C2×#4112yes—
661C23×C43C2511yescharacteristic
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—28no—
667C22×D43—28no—
668C22×D43—28no—
669C22×D43—28no—
670C22×D43—28no—
671C22×D43—28no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—28no—
679C22×D43—28no—
680C22×D43—28no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—44no—
694C22×D43—44no—
695C22×D43—44no—
696C22×D43—44no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43#123116yes—
700C22×D43C22×D412yes—
701C22×D43C22×D412yes—
702C22×D43C22×D412yes—
703C22×D43C2×#4112yes—
704C22×D43C2×#4112yes—
705C22×D43C2×#4112yes—
706C22×D43C2×#4112yes—
707C22×D43C2×#4112yes—
708C22×D43C2×#4112yes—
709C22×D43H(5,𝔽2)12yes—
710C22×D43H(5,𝔽2)12yes—
711D4×C43—28no—
712D4×C43—44no—
713D4×C43—44no—
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—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—44no—
748C2×C4×C43—44no—
749C2×C4×C43—44no—
750C2×C4×C43—44no—
751C2×C4×C43C22×D412yes—
752C2×C4×C43C2×#4112yes—
753C2×C4×C43C2×#4112yes—
754C22⋊D43—28no—
755C22⋊D43—28no—
756C22⋊D43—44no—
757C22⋊D43—44no—
758C22⋊D43—44no—
759C22⋊D43—44no—
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—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—44no—
794C2×Dic43—44no—
795C2×Dic43—44no—
796C2×Dic43—44no—
797C2×Dic43C22×D412yes—
798C2×Dic43C2×#4112yes—
799C2×Dic43C2×#4112yes—
800D172—28no—
801D172—44no—
802D172—44no—
803C4×D43—28no—
804C4×D43—28no—
805C4×D43—28no—
806C4×D43—44no—
807C4×D43—44no—
808C4×D43—44no—
809C4×D43—44no—
810C4×D43—44no—
811C4×D43—44no—
812C4×D43—44no—
813C4×D43—44no—
814C4×D43—44no—
815C4×D43—44no—
816C4×D43—44no—
817C4×D43—44no—
818C4×D43—44no—
819C4×D43—44no—
820C4×D43—44no—
821C4×D43—44no—
822C4×D43—44no—
823C2×#2444—431nomaximal, Sylow
824C22×C43—22no—
825C22×C43—22no—
826C22×C43—22no—
827C22×C43—22no—
828C22×C43—22no—
829C22×C43—22no—
830C22×C43—22no—
831C22×C43—22no—
832C22×C43—22no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43C2×#12314yes—
845C22×C43C23×D411yescharacteristic
846C22×C43C22×#4111yescharacteristic
847C22×C43C22×#4111yescharacteristic
848C22×C43C22×#4111yescharacteristic
849C22×C43C22×#4111yescharacteristic
850C22×C43C2×H(5,𝔽2)11yescharacteristic
851C22×C43C2×H(5,𝔽2)11yescharacteristic
852C2×D43—22no—
853C2×D43—22no—
854C2×D43—22no—
855C2×D43—22no—
856C2×D43—22no—
857C2×D43—22no—
858C2×D43—232no—
859C2×D43—22no—
860C2×D43—22no—
861C2×D43—22no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—416no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—41no—
873C2×D43—41no—
874C2×D43—88no—
875C2×D43C2×#12314yes—
876C2×D43C2×#12314yes—
877C2×D43#52914yes—
878C2×D43#53814yes—
879C2×D43#54614yes—
880C2×D43#54614yes—
881C2×D43#55314yes—
882C2×D43#55314yes—
883C4×C43—22no—
884C4×C43—22no—
885C4×C43—22no—
886C4×C43—41no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895Dic43—22no—
896Dic43—22no—
897Dic43—22no—
898Dic43—41no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907C22×#121—431no—
908C22×C4×D4—431no—
909#2444—431no—
910#2444—431no—
911#2444—431no—
912#2444—431no—
913#2444—431no—
914#2444—431no—
915#2444—431no—
916#2444—431no—
917#2444—431no—
918#2444—431no—
919#2444—431no—
920#2444—431no—
921#2444—431no—
922#2444—431no—
923#2444—431no—
924#2444D4311yescharacteristic, direct product factor
925C2×#400—431no—
926C2×#397—431no—
927C2×#397—431no—
928C2×#394—431no—
929C2×#388—431no—
930C2×#387—431no—
931C2×#386—431no—
932C2×#386—431no—
933C2×#386—431no—
934C2×#386—431no—
935C2×#385—431no—
936C2×#381—431no—
937C22×#95—431no—
938C2×C43—24no—
939C2×C43—42no—
940C2×C43—81no—
941C2×C43C22×#12311yescharacteristic
942C2×C43C2×#52911yescharacteristic
943C2×C43C2×#53811yescharacteristic
944C2×C43C2×#54611yescharacteristic
945C2×C43C2×#54611yescharacteristic
946C2×C43C2×#55311yescharacteristic
947C2×C43C2×#55311yescharacteristic
948D43—24no—
949D43—42no—
950D43—81no—
951D43#244418yesdirect product factor
952C23×D4—431no—
953C23×D4—431no—
954C23×D4—431no—
955C24×C4—431no—
956C24×C4—431no—
957C24×C4—431no—
958C24×C4—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—868no—
967C2×#121C2×D4311yescharacteristic
968C2×C4×D4—431no—
969C2×C4×D4—431no—
970C2×C4×D4—431no—
971C2×C4×D4—431no—
972C2×C4×D4—431no—
973C2×C4×D4—431no—
974C2×C4×D4—431no—
975C2×C4×D4—868no—
976C2×C4×D4C2×D4311yescharacteristic, complemented
977C22×C4⋊C4—431no—
978C22×C4⋊C4—431no—
979C22×C4⋊C4—431no—
980C22×C4⋊C4—431no—
981C22×C22⋊C4—431no—
982C22×C22⋊C4—431no—
983C22×C22⋊C4—431no—
984C22×C22⋊C4—431no—
985C22×C22⋊C4—431no—
986C22×C22⋊C4—431no—
987C22×C22⋊C4—431no—
988C22×C22⋊C4—431no—
989C22×C22⋊C4—431no—
990C22×C22⋊C4—431no—
991C22×C22⋊C4—431no—
992C22×C42—431no—
993#400—431no—
994#400—431no—
995#400—431no—
996#400—431no—
997#400—431no—
998#400—431no—
999#400—431no—
1000#400C2×D4311yescharacteristic, complemented
1001#397—431no—
1002#397—431no—
1003#397—431no—
1004#397—431no—
1005#397—431no—
1006#397—431no—
1007#397—431no—
1008#397—431no—
1009#397—431no—
1010#397—431no—
1011#397—431no—
1012#397—431no—
1013#397—431no—
1014#397—431no—
1015#397C2×D4311yescharacteristic, complemented
1016#397C2×D4311yescharacteristic, complemented
1017#394—431no—
1018#394—431no—
1019#394—431no—
1020#394—431no—
1021#394—431no—
1022#394—431no—
1023#394—431no—
1024#394C2×D4311yescharacteristic, complemented
1025#388—431no—
1026#388—431no—
1027#388—431no—
1028#388—431no—
1029#388—431no—
1030#388—431no—
1031#388—431no—
1032#388C2×D4311yescharacteristic, complemented
1033#387—431no—
1034#387—431no—
1035#387—431no—
1036#387—431no—
1037#387—431no—
1038#387—431no—
1039#387—431no—
1040#387C2×D4311yescharacteristic, complemented
1041#386—431no—
1042#386—431no—
1043#386—431no—
1044#386—431no—
1045#386—431no—
1046#386—431no—
1047#386—431no—
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386C2×D4311yescharacteristic, complemented
1070#386C2×D4311yescharacteristic, complemented
1071#386C2×D4311yescharacteristic, complemented
1072#386C2×D4311yescharacteristic, complemented
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#385C2×D4311yescharacteristic, complemented
1081#381—431no—
1082#381—431no—
1083#381—431no—
1084#381—431no—
1085#381—431no—
1086#381—431no—
1087#381—431no—
1088#381C2×D4311yescharacteristic, complemented
1089C2×#95—431no—
1090C2×#95—431no—
1091C2×#95—431no—
1092C2×#95—431no—
1093C2×#95—431no—
1094C2×#95—431no—
1095C2×#95—431no—
1096C2×#95—431no—
1097C2×#95—431no—
1098C2×#95—431no—
1099C2×#95—431no—
1100C2×#95—431no—
1101C2×#95—431no—
1102C2×#95—431no—
1103C2×#95—431no—
1104C2×#95—431no—
1105C2×#95—431no—
1106C2×#95—431no—
1107C2×#95—431no—
1108C2×#95C2×D4311yescharacteristic, complemented
1109C43C2×#244411yescharacteristic, complemented, Sylow
1110C25—431no—
1111C25—431no—
1112C25—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—438no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4—431no—
1123C22×D4—864no—
1124C22×D4—864no—
1125C22×D4—864no—
1126C22×D4—864no—
1127C22×D4—864no—
1128C22×D4—864no—
1129C22×D4—864no—
1130C22×D4—1722no—
1131C22×D4C22×D4311yescharacteristic
1132C22×D4C22×D4311yescharacteristic
1133C22×D4C22×D4311yescharacteristic
1134C23×C4—431no—
1135C23×C4—431no—
1136C23×C4—431no—
1137C23×C4—431no—
1138C23×C4—431no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—431no—
1142C23×C4—431no—
1143C23×C4—431no—
1144C23×C4—431no—
1145C23×C4—431no—
1146C23×C4—431no—
1147C23×C4—431no—
1148C23×C4—431no—
1149C23×C4—431no—
1150C23×C4—431no—
1151C23×C4—431no—
1152C23×C4—431no—
1153C23×C4—431no—
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—431no—
1157C23×C4—431no—
1158C23×C4—864no—
1159C23×C4—864no—
1160C23×C4—864no—
1161C23×C4—864no—
1162C23×C4—864no—
1163C23×C4—864no—
1164C23×C4—864no—
1165C23×C4—1722no—
1166C23×C4—1722no—
1167C23×C4—1722no—
1168C23×C4—1722no—
1169C23×C4—1722no—
1170C23×C4C22×D4311yescharacteristic
1171C23×C4C22×D4311yescharacteristic
1172C23×C4C22×D4311yescharacteristic
1173C23×C4C22×D4311yescharacteristic
1174#121—24no—
1175#121—864no—
1176#121—864no—
1177#121—864no—
1178#121—864no—
1179#121—864no—
1180#121—864no—
1181#121—864no—
1182C4×D4—24no—
1183C4×D4—864no—
1184C4×D4—864no—
1185C4×D4—864no—
1186C4×D4—864no—
1187C4×D4—864no—
1188C4×D4—864no—
1189C4×D4—864no—
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⋊C4—431no—
1198C2×C4⋊C4—431no—
1199C2×C4⋊C4—431no—
1200C2×C4⋊C4—431no—
1201C2×C4⋊C4—431no—
1202C2×C4⋊C4—864no—
1203C2×C4⋊C4—864no—
1204C2×C4⋊C4—864no—
1205C2×C4⋊C4—1722no—
1206C2×C4⋊C4C22×D4311yescharacteristic
1207C2×C4⋊C4C22×D4311yescharacteristic
1208C2×C4⋊C4C22×D4311yescharacteristic
1209C2×C4⋊C4C22×D4311yescharacteristic
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—864no—
1244C2×C22⋊C4—864no—
1245C2×C22⋊C4—864no—
1246C2×C22⋊C4—864no—
1247C2×C22⋊C4—864no—
1248C2×C22⋊C4—864no—
1249C2×C22⋊C4—1722no—
1250C2×C22⋊C4—1722no—
1251C2×C22⋊C4—1722no—
1252C2×C22⋊C4—1722no—
1253C2×C22⋊C4—1722no—
1254C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1268C2×C42—864no—
1269C2×C42C22×D4311yescharacteristic
1270#95—431no—
1271#95—431no—
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#95—431no—
1291#95—431no—
1292#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95—431no—
1297#95—431no—
1298#95—431no—
1299#95—431no—
1300#95—431no—
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95C22×D4311yescharacteristic
1307#95C22×D4311yescharacteristic
1308#95C22×D4311yescharacteristic
1309#95C22×D4311yescharacteristic
1310#95C22×D4311yescharacteristic
1311#95C22×D4311yescharacteristic
1312#95C22×D4311yescharacteristic
1313#95C22×D4311yescharacteristic
1314#95C22×D4311yescharacteristic
1315#95C22×D4311yescharacteristic
1316#95C22×D4311yescharacteristic
1317#95C22×D4311yescharacteristic
1318C24—431no—
1319C24—434no—
1320C24—434no—
1321C24—434no—
1322C24—431no—
1323C24—434no—
1324C24—431no—
1325C24—431no—
1326C24—862no—
1327C24—862no—
1328C24—862no—
1329C24—862no—
1330C24—862no—
1331C24—862no—
1332C24—862no—
1333C24—862no—
1334C24—862no—
1335C24—862no—
1336C24—862no—
1337C24—862no—
1338C24—862no—
1339C24—862no—
1340C24—862no—
1341C24—862no—
1342C24—862no—
1343C24C23×D4311yescharacteristic
1344C24C23×D4311yescharacteristic
1345C24C23×D4311yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—434no—
1355C2×D4—434no—
1356C2×D4—434no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—8632no—
1366C2×D4—862no—
1367C2×D4—862no—
1368C2×D4—862no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—862no—
1372C2×D4—862no—
1373C2×D4—862no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—1721no—
1380C2×D4—17216no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—17216no—
1384C2×D4D4×D4314yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—434no—
1401C22×C4—434no—
1402C22×C4—434no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
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—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—862no—
1426C22×C4—862no—
1427C22×C4—862no—
1428C22×C4—862no—
1429C22×C4—862no—
1430C22×C4—862no—
1431C22×C4—862no—
1432C22×C4—862no—
1433C22×C4—862no—
1434C22×C4—862no—
1435C22×C4—862no—
1436C22×C4—862no—
1437C22×C4—862no—
1438C22×C4—862no—
1439C22×C4—862no—
1440C22×C4—862no—
1441C22×C4—862no—
1442C22×C4—862no—
1443C22×C4—862no—
1444C22×C4—862no—
1445C22×C4—862no—
1446C22×C4—862no—
1447C22×C4—862no—
1448C22×C4—862no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—862no—
1465C22×C4—862no—
1466C22×C4—1721no—
1467C22×C4—1721no—
1468C22×C4—1721no—
1469C22×C4—1721no—
1470C22×C4—1721no—
1471C22×C4—1721no—
1472C22×C4—1721no—
1473C22×C4—1721no—
1474C22×C4—1721no—
1475C22×C4—1721no—
1476C22×C4—17216no—
1477C22×C4—17216no—
1478C22×C4—17216no—
1479C22×C4—17216no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4C23×D4311yescharacteristic
1486C22×C4C23×D4311yescharacteristic
1487C22×C4C23×D4311yescharacteristic
1488C22×C4C23×D4311yescharacteristic
1489C22×C4C23×D4311yescharacteristic
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4311yescharacteristic
1495C22×C4C23×D4311yescharacteristic
1496C22×C4C23×D4311yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—862no—
1502C4⋊C4—862no—
1503C4⋊C4—862no—
1504C4⋊C4—862no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—1721no—
1511C4⋊C4—1721no—
1512C4⋊C4—1721no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—862no—
1525C22⋊C4—862no—
1526C22⋊C4—862no—
1527C22⋊C4—862no—
1528C22⋊C4—862no—
1529C22⋊C4—862no—
1530C22⋊C4—862no—
1531C22⋊C4—862no—
1532C22⋊C4—862no—
1533C22⋊C4—862no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—1721no—
1543C22⋊C4—1721no—
1544C22⋊C4—1721no—
1545C22⋊C4—1721no—
1546C22⋊C4—1721no—
1547C22⋊C4—1721no—
1548C22⋊C4—1721no—
1549C22⋊C4—1721no—
1550C22⋊C4—1721no—
1551C22⋊C4—1721no—
1552C22⋊C4—1721no—
1553C22⋊C4—1721no—
1554C22⋊C4—1721no—
1555C22⋊C4—1721no—
1556C22⋊C4—1721no—
1557C42—22no—
1558C42—862no—
1559C42—862no—
1560C42—862no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—432no—
1579C23—432no—
1580C23—432no—
1581C23—432no—
1582C23—432no—
1583C23—432no—
1584C23—432no—
1585C23—4316no—
1586C23—432no—
1587C23—432no—
1588C23—432no—
1589C23—432no—
1590C23—868no—
1591C23—868no—
1592C23—868no—
1593C23—868no—
1594C23—868no—
1595C23—868no—
1596C23—868no—
1597C23—868no—
1598C23—868no—
1599C23—861no—
1600C23—861no—
1601C23—861no—
1602C23—861no—
1603C23—861no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—861no—
1611C23—861no—
1612C23—861no—
1613C23—861no—
1614C23—861no—
1615C23—861no—
1616C23—1724no—
1617C23—1724no—
1618C23—1724no—
1619C23—1724no—
1620C23—1724no—
1621C23—1724no—
1622C23—1724no—
1623C23—1724no—
1624C23—1724no—
1625C23—1724no—
1626C23—1724no—
1627C23C2×D4×D4312yes—
1628C23C2×D4×D4312yes—
1629C23#41×D4312yes—
1630C23#41×D4312yes—
1631C23C24×D4311yescharacteristic
1632D4—28no—
1633D4—44no—
1634D4—44no—
1635D4—868no—
1636D4—868no—
1637D4—868no—
1638D4—1724no—
1639D4—1724no—
1640D4—1724no—
1641D4—1724no—
1642D4—1724no—
1643D4—1724no—
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—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—432no—
1682C2×C4—432no—
1683C2×C4—432no—
1684C2×C4—868no—
1685C2×C4—868no—
1686C2×C4—868no—
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—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—1724no—
1721C2×C4—1724no—
1722C2×C4—1724no—
1723C2×C4—1724no—
1724C2×C4—1724no—
1725C2×C4—1724no—
1726C2×C4—1724no—
1727C2×C4—1724no—
1728C2×C4—1724no—
1729C2×C4—1724no—
1730C2×C4—1724no—
1731C2×C4—1724no—
1732C2×C4—1724no—
1733C2×C4—1724no—
1734C2×C4—1724no—
1735C2×C4—1724no—
1736C2×C4—1724no—
1737C2×C4—1724no—
1738C2×C4—1724no—
1739C2×C4—1724no—
1740C2×C4—1724no—
1741C2×C4C2×D4×D4312yes—
1742C2×C4#41×D4312yes—
1743C2×C4#41×D4312yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—434no—
1765C22—434no—
1766C22—434no—
1767C22—434no—
1768C22—434no—
1769C22—434no—
1770C22—434no—
1771C22—434no—
1772C22—8632no—
1773C22—862no—
1774C22—862no—
1775C22—862no—
1776C22—862no—
1777C22—862no—
1778C22—862no—
1779C22—862no—
1780C22—862no—
1781C22—862no—
1782C22—3448no—
1783C22—17216no—
1784C22—1721no—
1785C22—1721no—
1786C22—1721no—
1787C22—1721no—
1788C22—1721no—
1789C22—1721no—
1790C22—1721no—
1791C22—1721no—
1792C22—1721no—
1793C22—1721no—
1794C22—1721no—
1795C22#123×D4314yes—
1796C22C22×D4×D4311yescharacteristic
1797C22C2×#41×D4311yescharacteristic
1798C22C2×#41×D4311yescharacteristic
1799C22C2×#41×D4311yescharacteristic
1800C22C2×#41×D4311yescharacteristic
1801C22H(5,𝔽2)×D4311yescharacteristic
1802C22H(5,𝔽2)×D4311yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—862no—
1816C4—862no—
1817C4—862no—
1818C4—1721no—
1819C4—1721no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C2—24no—
1828C2—42no—
1829C2—81no—
1830C2—438no—
1831C2—864no—
1832C2—3441no—
1833C2—1722no—
1834C2C2×#123×D4311yescharacteristic
1835C2#529×D4311yescharacteristic
1836C2#538×D4311yescharacteristic
1837C2#546×D4311yescharacteristic
1838C2#546×D4311yescharacteristic
1839C2#553×D4311yescharacteristic
1840C2#553×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2444C2
prime radicalC2×#121×D43C2
hypercenter#2444D43
hypocenterC43C2×#2444
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D43C2semidirect
3. #19138352C2semidirect
4. #19138351C2semidirect
5. #19138350C2semidirect
6. #19138349C2semidirect
7. #19138348C2semidirect
8. #19138347C2semidirect
9. #19138346C2semidirect
10. #19138345C2semidirect
11. #19138344C2semidirect
12. #19138343C2semidirect
13. #19138342C2semidirect
14. #19138341C2semidirect
15. #19138340C2semidirect
16. #19138339C2semidirect
17. #19138338C2semidirect
18. #400×D43C2semidirect
19. #397×D43C2semidirect
20. #397×D43C2semidirect
21. #394×D43C2semidirect
22. #388×D43C2semidirect
23. #387×D43C2semidirect
24. #386×D43C2semidirect
25. #386×D43C2semidirect
26. #386×D43C2semidirect
27. #386×D43C2semidirect
28. #385×D43C2semidirect
29. #381×D43C2semidirect
30. C2×#95×D43C2semidirect
31. C43×#2444C2semidirect
47. C2×C4×D172C22semidirect
48. C2×D4×Dic43C22semidirect
49. C2×#13063287C22semidirect
50. C2×C4×C22⋊D43C22semidirect
51. C2×C4×C22⋊D43C22semidirect
52. C2×(C22⋊D43)⋊C4C22semidirect
53. C2×(C22⋊D43)⋊C4C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582839C22semidirect
76. #14582838C22semidirect
77. #14582837C22semidirect
78. #14582828C22semidirect
79. #14582828C22semidirect
80. #14582828C22semidirect
81. #14582828C22semidirect
82. #14582827C22semidirect
83. #14582827C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
86. #14582826C22semidirect
87. #14582826C22semidirect
88. #14582825C22semidirect
89. #14582825C22semidirect
90. #14582824C22semidirect
91. #14582824C22semidirect
92. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582815C22semidirect
95. #14582815C22semidirect
96. #14582814C22semidirect
97. #14582814C22semidirect
98. #14582813C22semidirect
99. #14582793C22semidirect
100. #14582792C22semidirect
101. #14582791C22semidirect
102. #14582790C22semidirect
103. #14582789C22semidirect
104. #14582788C22semidirect
105. #14582787C22semidirect
106. #14582786C22semidirect
107. #14582785C22semidirect
108. #14582784C22semidirect
109. #14582783C22semidirect
110. #14582782C22semidirect
111. #14582781C22semidirect
112. #14582780C22semidirect
113. #14582779C22semidirect
114. #14582779C22semidirect
115. #14582779C22semidirect
116. #14582779C22semidirect
117. #14582778C22semidirect
118. #14582778C22semidirect
119. #14582778C22semidirect
120. #14582778C22semidirect
121. #14582777C22semidirect
122. #14582777C22semidirect
123. #14582777C22semidirect
124. #14582777C22semidirect
125. #14582777C22semidirect
126. #14582777C22semidirect
127. #14582777C22semidirect
128. #14582777C22semidirect
129. #14582776C22semidirect
130. #14582776C22semidirect
131. #14582776C22semidirect
132. #14582776C22semidirect
133. #14582775C22semidirect
134. #14582775C22semidirect
135. #14582775C22semidirect
136. #14582775C22semidirect
137. #14582775C22semidirect
138. #14582775C22semidirect
139. #14582775C22semidirect
140. #14582775C22semidirect
141. #14582774C22semidirect
142. #14582773C22semidirect
143. #14582773C22semidirect
144. #14582772C22semidirect
145. #14582771C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582762C22semidirect
149. #14582761C22semidirect
150. #14582761C22semidirect
151. #14582761C22semidirect
152. #14582761C22semidirect
153. #14582760C22semidirect
154. #14582760C22semidirect
155. C2×C43⋊#95C22semidirect
156. C2×C43⋊#95C22semidirect
157. C2×C43⋊#95C22semidirect
170. #95×D43C22semidirect
171. #95×D43C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
175. C2×C4×D4×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#397C22semidirect
178. C43×#397C22semidirect
179. C43×#394C22semidirect
180. C43×#388C22semidirect
181. C43×#387C22semidirect
182. C43×#386C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
187. C43×#381C22semidirect
188. C2×#95×C43C22semidirect
924. #2444D43direct (N × H)
951. D43#2444direct (N × H)
976. C2×C4×D4C2×D43semidirect
1000. #400C2×D43semidirect
1015. #397C2×D43semidirect
1016. #397C2×D43semidirect
1024. #394C2×D43semidirect
1032. #388C2×D43semidirect
1040. #387C2×D43semidirect
1069. #386C2×D43semidirect
1070. #386C2×D43semidirect
1071. #386C2×D43semidirect
1072. #386C2×D43semidirect
1080. #385C2×D43semidirect
1088. #381C2×D43semidirect
1108. C2×#95C2×D43semidirect
1109. C43C2×#2444semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D432
C2×C4×D4×D432
#191383522
#191383512
#191383502
#191383492
#191383482
#191383472
#191383462
#191383452
#191383442
#191383432
#191383422
#191383412
#191383402
#191383392
#191383382
#400×D432
#397×D432
#394×D432
#388×D432
#387×D432
#386×D432
#385×D432
#381×D432
C2×#95×D432
C43×#24442
C2×#244443