Finite Group Databasebeta

← D43×#2630 #25262972

Subgroups — D43×#2630 #25262972

Order 11008.

3218 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D43C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19140445C211yesmaximal, characteristic, complemented
4#19140444C211yesmaximal, characteristic, complemented
5#19140443C211yesmaximal, characteristic, complemented
6#19140442C211yesmaximal, characteristic, complemented
7#19140441C211yesmaximal, characteristic, complemented
8#19140440C211yesmaximal, characteristic, complemented
9#19140439C211yesmaximal, characteristic, complemented
10#19140438C211yesmaximal, characteristic, complemented
11#19140437C211yesmaximal, characteristic, complemented
12#19140436C211yesmaximal, characteristic, complemented
13#19140435C211yesmaximal, characteristic, complemented
14#19140434C211yesmaximal, characteristic, complemented
15#19140433C211yesmaximal, characteristic, complemented
16#19140432C211yesmaximal, characteristic, complemented
17#19140431C211yesmaximal, characteristic, complemented
18#398×D43C211yesmaximal, characteristic, complemented
19#397×D43C211yesmaximal, characteristic, complemented
20#396×D43C211yesmaximal, characteristic, complemented
21#396×D43C211yesmaximal, characteristic, complemented
22#394×D43C211yesmaximal, characteristic, complemented
23#394×D43C211yesmaximal, characteristic, complemented
24#394×D43C211yesmaximal, characteristic, complemented
25#392×D43C211yesmaximal, characteristic
26#388×D43C211yesmaximal, characteristic, complemented
27#387×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic, complemented
29#385×D43C211yesmaximal, characteristic, complemented
30#380×D43C211yesmaximal, characteristic, complemented
31C43×#2630C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063310C2211yescharacteristic, complemented
39C2×#13063309C2211yescharacteristic, complemented
40C2×#13063308C2211yescharacteristic, complemented
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063307C2211yescharacteristic, complemented
43C2×#13063306C2211yescharacteristic, complemented
44#123×D43—28no—
45C2×C4×D172C2211yescharacteristic, complemented
46C2×D4×Dic43C2211yescharacteristic, complemented
47C2×#13063287C2211yescharacteristic, complemented
48C2×C4×C22⋊D43C2211yescharacteristic, complemented
49C2×C4×C22⋊D43C2211yescharacteristic, complemented
50C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
52C4×D4×D43—28no—
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C4⋊C4×D43C2211yescharacteristic
60C2×C4⋊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×C22⋊C4×D43C2211yescharacteristic
71C2×C22⋊C4×D43C2211yescharacteristic
72C2×C22⋊C4×D43C2211yescharacteristic
73C2×C22⋊C4×D43C2211yescharacteristic
74C2×C42×D43C2211yescharacteristic
75#14582833C2211yescharacteristic, complemented
76#14582833C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582831C2211yescharacteristic, complemented
80#14582830C2211yescharacteristic, complemented
81#14582829C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582826C2211yescharacteristic, complemented
87#14582825C2211yescharacteristic, complemented
88#14582824C2211yescharacteristic, complemented
89#14582823C2211yescharacteristic, complemented
90#14582823C2211yescharacteristic, complemented
91#14582822C2211yescharacteristic, complemented
92#14582822C2211yescharacteristic, complemented
93#14582822C2211yescharacteristic, complemented
94#14582822C2211yescharacteristic, complemented
95#14582822C2211yescharacteristic, complemented
96#14582822C2211yescharacteristic, complemented
97#14582821C2211yescharacteristic, complemented
98#14582821C2211yescharacteristic, complemented
99#14582821C2211yescharacteristic, complemented
100#14582821C2211yescharacteristic, complemented
101#14582821C2211yescharacteristic, complemented
102#14582821C2211yescharacteristic, complemented
103#14582817C2211yescharacteristic, complemented
104#14582817C2211yescharacteristic, complemented
105#14582817C2211yescharacteristic, complemented
106#14582816C2211yescharacteristic, complemented
107#14582816C2211yescharacteristic, complemented
108#14582816C2211yescharacteristic, complemented
109#14582815C2211yescharacteristic, complemented
110#14582815C2211yescharacteristic, complemented
111#14582815C2211yescharacteristic, complemented
112#14582815C2211yescharacteristic, complemented
113#14582815C2211yescharacteristic, complemented
114#14582815C2211yescharacteristic, complemented
115#14582814C2211yescharacteristic, complemented
116#14582814C2211yescharacteristic, complemented
117#14582814C2211yescharacteristic, complemented
118#14582814C2211yescharacteristic, complemented
119#14582814C2211yescharacteristic, complemented
120#14582814C2211yescharacteristic, complemented
121#14582813C2211yescharacteristic, complemented
122#14582813C2211yescharacteristic, complemented
123#14582813C2211yescharacteristic, complemented
124#14582809C2211yescharacteristic
125#14582808C2211yescharacteristic
126#14582808C2211yescharacteristic
127#14582808C2211yescharacteristic
128#14582807C2211yescharacteristic
129#14582807C2211yescharacteristic
130#14582807C2211yescharacteristic
131#14582793C2211yescharacteristic, complemented
132#14582792C2211yescharacteristic, complemented
133#14582791C2211yescharacteristic, complemented
134#14582790C2211yescharacteristic, complemented
135#14582789C2211yescharacteristic, complemented
136#14582788C2211yescharacteristic, complemented
137#14582787C2211yescharacteristic, complemented
138#14582786C2211yescharacteristic, complemented
139#14582785C2211yescharacteristic, complemented
140#14582784C2211yescharacteristic, complemented
141#14582783C2211yescharacteristic, complemented
142#14582782C2211yescharacteristic, complemented
143#14582781C2211yescharacteristic, complemented
144#14582780C2211yescharacteristic, complemented
145#14582779C2211yescharacteristic, complemented
146#14582778C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic, complemented
150#14582775C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic, complemented
152#14582774C2211yescharacteristic, complemented
153#14582773C2211yescharacteristic, complemented
154#14582773C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582771C2211yescharacteristic, complemented
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582759C2211yescharacteristic, complemented
160#14582758C2211yescharacteristic, complemented
161#14582758C2211yescharacteristic, complemented
162#14582757C2211yescharacteristic, complemented
163#14582757C2211yescharacteristic, complemented
164#14582756C2211yescharacteristic, complemented
165#14582756C2211yescharacteristic, complemented
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#123×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic, complemented
176C43×#398C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic, complemented
182C43×#394C2211yescharacteristic, complemented
183C43×#392C2211yescharacteristic
184C43×#388C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, 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—42no—
207C2×D4×D43—42no—
208C2×D4×D43—42no—
209C2×D4×D43—42no—
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43—24no—
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43D418yescomplemented
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234#13063310—24no—
235#13063310—24no—
236#13063309—24no—
237#13063308—24no—
238#13063307—24no—
239#13063307—24no—
240#13063306—24no—
241C4×D172—24no—
242D4×Dic43—24no—
243#13063287—24no—
244C4×C22⋊D43—24no—
245C4×C22⋊D43—24no—
246(C22⋊D43)⋊C4—24no—
247(C22⋊D43)⋊C4—24no—
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
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—24no—
276C4⋊C4×D43—42no—
277C4⋊C4×D43—42no—
278C4⋊C4×D43—42no—
279C4⋊C4×D43—42no—
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
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
319C22⋊C4×D43—24no—
320C22⋊C4×D43—24no—
321C22⋊C4×D43—24no—
322C22⋊C4×D43—24no—
323C22⋊C4×D43—24no—
324C22⋊C4×D43—24no—
325C22⋊C4×D43—24no—
326C22⋊C4×D43—42no—
327C22⋊C4×D43—42no—
328C22⋊C4×D43—42no—
329C22⋊C4×D43—42no—
330C22⋊C4×D43—42no—
331C22⋊C4×D43—42no—
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C42×D43—24no—
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
365#123×C43—24no—
366C4×D4×C43—24no—
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C42×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×D43—22no—
418C23×D43—22no—
419C23×D43C2×D414yes—
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—41no—
431C2×D4×C43—41no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C22×C4×C43—22no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43C2×D414yescomplemented
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C22×Dic43—22no—
471C22×Dic43—41no—
472C22×Dic43—41no—
473C22×Dic43—41no—
474C22×Dic43—41no—
475C22×Dic43C2×D414yescomplemented
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488D4×D43—232no—
489D4×D43—416no—
490D4×D43—416no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
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—416no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—41no—
543C2×C4×D43—41no—
544C2×C4×D43—416no—
545C2×C4×D43C2×D414yes—
546C2×C4×D43C2×D414yes—
547C2×C4×D43C2×D414yescomplemented
548C2×C4×D43C2×D414yescomplemented
549C2×C4×D43#4114yes—
550C4⋊C4×C43—22no—
551C4⋊C4×C43—22no—
552C4⋊C4×C43—22no—
553C4⋊C4×C43—22no—
554C4⋊C4×C43—41no—
555C4⋊C4×C43—41no—
556C4⋊C4×C43—41no—
557C4⋊C4×C43—41no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—22no—
560C22⋊C4×C43—22no—
561C22⋊C4×C43—22no—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43—22no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43—41no—
567C22⋊C4×C43—41no—
568C22⋊C4×C43—41no—
569C22⋊C4×C43—41no—
570C22⋊C4×C43—41no—
571C42×C43—22no—
572C22⋊Dic43—22no—
573C22⋊Dic43—22no—
574C22⋊Dic43—22no—
575C22⋊Dic43—22no—
576C22⋊Dic43—22no—
577C22⋊Dic43—22no—
578C22⋊Dic43—22no—
579C22⋊Dic43—41no—
580C22⋊Dic43—41no—
581C22⋊Dic43—41no—
582C22⋊Dic43—41no—
583C22⋊Dic43—41no—
584C22⋊Dic43—41no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
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—
611C4⋊Dic43—22no—
612C4⋊Dic43—22no—
613C4⋊Dic43—22no—
614C4⋊Dic43—22no—
615C4⋊Dic43—41no—
616C4⋊Dic43—41no—
617C4⋊Dic43—41no—
618C4⋊Dic43—41no—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—22no—
623Dic43⋊C4—22no—
624Dic43⋊C4—22no—
625Dic43⋊C4—22no—
626Dic43⋊C4—22no—
627Dic43⋊C4—41no—
628Dic43⋊C4—41no—
629Dic43⋊C4—41no—
630Dic43⋊C4—41no—
631Dic43⋊C4—41no—
632Dic43⋊C4—41no—
633Dic43⋊C4—41no—
634Dic43⋊C4—41no—
635C4×Dic43—22no—
636C4×Dic43—22no—
637C4×Dic43—22no—
638C23×C43—21no—
639C23×C43—21no—
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×C43C2×#4112yes—
659C23×C43C2511yescharacteristic
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—28no—
673C22×D43—28no—
674C22×D43—28no—
675C22×D43—28no—
676C22×D43—28no—
677C22×D43—28no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—44no—
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—44no—
695C22×D43—44no—
696C22×D43—44no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43—44no—
700C22×D43C22×D412yes—
701C22×D43C22×D412yes—
702C22×D43C2×#4112yes—
703C22×D43C2×#4112yes—
704C22×D43C2×#4112yes—
705C22×D43H(5,𝔽2)12yes—
706C22×D43H(5,𝔽2)12yes—
707C22×D43H(5,𝔽2)12yes—
708C22×D432−1+412yes—
709D4×C43—28no—
710D4×C43—44no—
711D4×C43—44no—
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—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—44no—
746C2×C4×C43—44no—
747C2×C4×C43C22×D412yes—
748C2×C4×C43C22×D412yes—
749C2×C4×C43C2×#4112yes—
750C22⋊D43—28no—
751C22⋊D43—28no—
752C22⋊D43—44no—
753C22⋊D43—44no—
754C22⋊D43—44no—
755C22⋊D43—44no—
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—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—44no—
790C2×Dic43—44no—
791C2×Dic43C22×D412yes—
792C2×Dic43C22×D412yes—
793C2×Dic43C2×#4112yes—
794D172—28no—
795D172—44no—
796D172—44no—
797C4×D43—28no—
798C4×D43—28no—
799C4×D43—28no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—44no—
803C4×D43—44no—
804C4×D43—44no—
805C4×D43—44no—
806C4×D43—44no—
807C4×D43—44no—
808C4×D43—44no—
809C4×D43—44no—
810C4×D43—44no—
811C4×D43—44no—
812C4×D43—44no—
813C2×#2630—431nomaximal, Sylow
814C22×C43—22no—
815C22×C43—22no—
816C22×C43—22no—
817C22×C43—22no—
818C22×C43—22no—
819C22×C43—22no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43C23×D411yescharacteristic
836C22×C43C22×#4111yescharacteristic
837C22×C43C22×#4111yescharacteristic
838C22×C43C2×H(5,𝔽2)11yescharacteristic
839C22×C43C2×H(5,𝔽2)11yescharacteristic
840C22×C43C2×H(5,𝔽2)11yescharacteristic
841C22×C43C2×2−1+411yescharacteristic
842C2×D43—22no—
843C2×D43—22no—
844C2×D43—22no—
845C2×D43—22no—
846C2×D43—22no—
847C2×D43—22no—
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—416no—
857C2×D43—416no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—88no—
866C2×D43#52514yes—
867C2×D43#53414yes—
868C2×D43#53714yes—
869C2×D43#53814yes—
870C2×D43#53914yes—
871C2×D43#54014yes—
872C2×D43#54214yes—
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—
884C4×C43—41no—
885Dic43—22no—
886Dic43—22no—
887Dic43—22no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897C22×#123—431no—
898C22×C4×D4—431no—
899#2630—431no—
900#2630—431no—
901#2630—431no—
902#2630—431no—
903#2630—431no—
904#2630—431no—
905#2630—431no—
906#2630—431no—
907#2630—431no—
908#2630—431no—
909#2630—431no—
910#2630—431no—
911#2630—431no—
912#2630—431no—
913#2630—431no—
914#2630D4311yescharacteristic, direct product factor
915C2×#398—431no—
916C2×#397—431no—
917C2×#396—431no—
918C2×#396—431no—
919C2×#394—431no—
920C2×#394—431no—
921C2×#394—431no—
922C2×#392—431no—
923C2×#388—431no—
924C2×#387—431no—
925C2×#386—431no—
926C2×#385—431no—
927C2×#380—431no—
928C2×C43—42no—
929C2×C43—42no—
930C2×C43—81no—
931C2×C43C2×#52511yescharacteristic
932C2×C43C2×#53411yescharacteristic
933C2×C43C2×#53711yescharacteristic
934C2×C43C2×#53811yescharacteristic
935C2×C43C2×#53911yescharacteristic
936C2×C43C2×#54011yescharacteristic
937C2×C43C2×#54211yescharacteristic
938D43—42no—
939D43—42no—
940D43—81no—
941D43#263018yesdirect product factor
942C23×D4—431no—
943C23×D4—431no—
944C23×D4—431no—
945C24×C4—431no—
946C24×C4—431no—
947C2×#123—431no—
948C2×#123—431no—
949C2×#123—431no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123—868no—
955C2×#123C2×D4311yescharacteristic, complemented
956C2×C4×D4—431no—
957C2×C4×D4—431no—
958C2×C4×D4—431no—
959C2×C4×D4—431no—
960C2×C4×D4—431no—
961C2×C4×D4—431no—
962C2×C4×D4—431no—
963C2×C4×D4—868no—
964C2×C4×D4C2×D4311yescharacteristic, complemented
965C22×C4⋊C4—431no—
966C22×C4⋊C4—431no—
967C22×C4⋊C4—431no—
968C22×C4⋊C4—431no—
969C22×C4⋊C4—431no—
970C22×C4⋊C4—431no—
971C22×C4⋊C4—431no—
972C22×C4⋊C4—431no—
973C22×C22⋊C4—431no—
974C22×C22⋊C4—431no—
975C22×C22⋊C4—431no—
976C22×C22⋊C4—431no—
977C22×C22⋊C4—431no—
978C22×C22⋊C4—431no—
979C22×C22⋊C4—431no—
980C22×C22⋊C4—431no—
981C22×C22⋊C4—431no—
982C22×C22⋊C4—431no—
983C22×C22⋊C4—431no—
984C22×C22⋊C4—431no—
985C22×C22⋊C4—431no—
986C22×C42—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#398—431no—
991#398—431no—
992#398—431no—
993#398—431no—
994#398C2×D4311yescharacteristic, complemented
995#397—431no—
996#397—431no—
997#397—431no—
998#397—431no—
999#397—431no—
1000#397—431no—
1001#397—431no—
1002#397C2×D4311yescharacteristic, complemented
1003#396—431no—
1004#396—431no—
1005#396—431no—
1006#396—431no—
1007#396—431no—
1008#396—431no—
1009#396—431no—
1010#396—431no—
1011#396—431no—
1012#396—431no—
1013#396—431no—
1014#396—431no—
1015#396—431no—
1016#396—431no—
1017#396C2×D4311yescharacteristic, complemented
1018#396C2×D4311yescharacteristic, complemented
1019#394—431no—
1020#394—431no—
1021#394—431no—
1022#394—431no—
1023#394—431no—
1024#394—431no—
1025#394—431no—
1026#394—431no—
1027#394—431no—
1028#394—431no—
1029#394—431no—
1030#394—431no—
1031#394—431no—
1032#394—431no—
1033#394—431no—
1034#394—431no—
1035#394—431no—
1036#394—431no—
1037#394—431no—
1038#394—431no—
1039#394—431no—
1040#394C2×D4311yescharacteristic, complemented
1041#394C2×D4311yescharacteristic, complemented
1042#394C2×D4311yescharacteristic, complemented
1043#392—431no—
1044#392—431no—
1045#392—431no—
1046#392—431no—
1047#392—431no—
1048#392—431no—
1049#392—431no—
1050#392C2×D4311yescharacteristic
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388C2×D4311yescharacteristic, complemented
1059#387—431no—
1060#387—431no—
1061#387—431no—
1062#387—431no—
1063#387—431no—
1064#387—431no—
1065#387—431no—
1066#387C2×D4311yescharacteristic, complemented
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386C2×D4311yescharacteristic, complemented
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#385C2×D4311yescharacteristic, complemented
1083#380—431no—
1084#380—431no—
1085#380—431no—
1086#380—431no—
1087#380—431no—
1088#380—431no—
1089#380—431no—
1090#380C2×D4311yescharacteristic, complemented
1091C2×#95—431no—
1092C2×#95—431no—
1093C2×#95—431no—
1094C2×#95—431no—
1095C2×#95—431no—
1096C2×#95—431no—
1097C2×#95—431no—
1098C2×#95—431no—
1099C43C2×#263011yescharacteristic, complemented, Sylow
1100C25—431no—
1101C25—431no—
1102C25—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—864no—
1113C22×D4—864no—
1114C22×D4—864no—
1115C22×D4—864no—
1116C22×D4—864no—
1117C22×D4—1722no—
1118C22×D4—1722no—
1119C22×D4—1722no—
1120C22×D4—1722no—
1121C22×D4C22×D4311yescharacteristic
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C23×C4—431no—
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—438no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
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—864no—
1144C23×C4—1722no—
1145C23×C4—1722no—
1146C23×C4—1722no—
1147C23×C4—1722no—
1148C23×C4C22×D4311yescharacteristic
1149C23×C4C22×D4311yescharacteristic
1150#123—24no—
1151#123—864no—
1152#123—864no—
1153#123—864no—
1154#123—864no—
1155#123—864no—
1156#123—864no—
1157#123—864no—
1158C4×D4—24no—
1159C4×D4—864no—
1160C4×D4—864no—
1161C4×D4—864no—
1162C4×D4—864no—
1163C4×D4—864no—
1164C4×D4—864no—
1165C4×D4—864no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
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—864no—
1191C2×C4⋊C4—864no—
1192C2×C4⋊C4—864no—
1193C2×C4⋊C4—864no—
1194C2×C4⋊C4—1722no—
1195C2×C4⋊C4—1722no—
1196C2×C4⋊C4—1722no—
1197C2×C4⋊C4—1722no—
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×C4⋊C4C22×D4311yescharacteristic
1205C2×C4⋊C4C22×D4311yescharacteristic
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—864no—
1246C2×C22⋊C4—864no—
1247C2×C22⋊C4—864no—
1248C2×C22⋊C4—864no—
1249C2×C22⋊C4—864no—
1250C2×C22⋊C4—864no—
1251C2×C22⋊C4—864no—
1252C2×C22⋊C4—1722no—
1253C2×C22⋊C4—1722no—
1254C2×C22⋊C4—1722no—
1255C2×C22⋊C4—1722no—
1256C2×C22⋊C4—1722no—
1257C2×C22⋊C4—1722no—
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×C22⋊C4C22×D4311yescharacteristic
1266C2×C22⋊C4C22×D4311yescharacteristic
1267C2×C22⋊C4C22×D4311yescharacteristic
1268C2×C22⋊C4C22×D4311yescharacteristic
1269C2×C22⋊C4C22×D4311yescharacteristic
1270C2×C22⋊C4C22×D4311yescharacteristic
1271C2×C42—431no—
1272C2×C42—431no—
1273C2×C42—431no—
1274C2×C42—864no—
1275C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1301#95C22×D4311yescharacteristic
1302#95C22×D4311yescharacteristic
1303#95C22×D4311yescharacteristic
1304#95C22×D4311yescharacteristic
1305#95C22×D4311yescharacteristic
1306#95C22×D4311yescharacteristic
1307#95C22×D4311yescharacteristic
1308C24—431no—
1309C24—434no—
1310C24—434no—
1311C24—431no—
1312C24—431no—
1313C24—431no—
1314C24—862no—
1315C24—862no—
1316C24—862no—
1317C24—862no—
1318C24—862no—
1319C24—862no—
1320C24—862no—
1321C24—862no—
1322C24—862no—
1323C24—862no—
1324C24—862no—
1325C24—862no—
1326C24—862no—
1327C24—862no—
1328C24—862no—
1329C24—862no—
1330C24—862no—
1331C24—862no—
1332C24—862no—
1333C24C23×D4311yescharacteristic
1334C24C23×D4311yescharacteristic
1335C24C23×D4311yescharacteristic
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—8632no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
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—17216no—
1374C2×D4—17216no—
1375C22×C4—22no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—431no—
1381C22×C4—431no—
1382C22×C4—431no—
1383C22×C4—434no—
1384C22×C4—434no—
1385C22×C4—434no—
1386C22×C4—434no—
1387C22×C4—434no—
1388C22×C4—434no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—862no—
1399C22×C4—862no—
1400C22×C4—862no—
1401C22×C4—862no—
1402C22×C4—862no—
1403C22×C4—862no—
1404C22×C4—862no—
1405C22×C4—862no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
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—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—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4—1721no—
1439C22×C4—1721no—
1440C22×C4—1721no—
1441C22×C4—1721no—
1442C22×C4—17216no—
1443C22×C4—17216no—
1444C22×C4—1721no—
1445C22×C4—1721no—
1446C22×C4—1721no—
1447C22×C4—1721no—
1448C22×C4D4×D4314yescomplemented
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C22×C4C23×D4311yescharacteristic
1454C22×C4C23×D4311yescharacteristic
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458C22×C4C23×D4311yescharacteristic
1459C22×C4C23×D4311yescharacteristic
1460C22×C4C23×D4311yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—862no—
1470C4⋊C4—862no—
1471C4⋊C4—862no—
1472C4⋊C4—862no—
1473C4⋊C4—862no—
1474C4⋊C4—862no—
1475C4⋊C4—862no—
1476C4⋊C4—862no—
1477C4⋊C4—862no—
1478C4⋊C4—862no—
1479C4⋊C4—862no—
1480C4⋊C4—862no—
1481C4⋊C4—1721no—
1482C4⋊C4—1721no—
1483C4⋊C4—1721no—
1484C4⋊C4—1721no—
1485C4⋊C4—1721no—
1486C4⋊C4—1721no—
1487C4⋊C4—1721no—
1488C4⋊C4—1721no—
1489C4⋊C4—1721no—
1490C4⋊C4—1721no—
1491C4⋊C4—1721no—
1492C4⋊C4—1721no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
1509C22⋊C4—862no—
1510C22⋊C4—862no—
1511C22⋊C4—862no—
1512C22⋊C4—862no—
1513C22⋊C4—862no—
1514C22⋊C4—862no—
1515C22⋊C4—862no—
1516C22⋊C4—862no—
1517C22⋊C4—862no—
1518C22⋊C4—862no—
1519C22⋊C4—862no—
1520C22⋊C4—862no—
1521C22⋊C4—862no—
1522C22⋊C4—862no—
1523C22⋊C4—862no—
1524C22⋊C4—862no—
1525C22⋊C4—862no—
1526C22⋊C4—862no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C22⋊C4—1721no—
1534C22⋊C4—1721no—
1535C22⋊C4—1721no—
1536C22⋊C4—1721no—
1537C22⋊C4—1721no—
1538C22⋊C4—1721no—
1539C22⋊C4—1721no—
1540C22⋊C4—1721no—
1541C22⋊C4—1721no—
1542C22⋊C4—1721no—
1543C22⋊C4—1721no—
1544C22⋊C4—1721no—
1545C42—22no—
1546C42—862no—
1547C42—862no—
1548C42—862no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—432no—
1569C23—432no—
1570C23—432no—
1571C23—432no—
1572C23—432no—
1573C23—432no—
1574C23—432no—
1575C23—432no—
1576C23—432no—
1577C23—868no—
1578C23—868no—
1579C23—868no—
1580C23—868no—
1581C23—868no—
1582C23—868no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—861no—
1597C23—861no—
1598C23—861no—
1599C23—861no—
1600C23—861no—
1601C23—861no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23—1724no—
1609C23—1724no—
1610C23—1724no—
1611C23—1724no—
1612C23—1724no—
1613C23—1724no—
1614C23—1724no—
1615C23—1724no—
1616C23—1724no—
1617C23C2×D4×D4312yes—
1618C23#41×D4312yes—
1619C23C24×D4311yescharacteristic
1620D4—28no—
1621D4—44no—
1622D4—44no—
1623D4—868no—
1624D4—868no—
1625D4—868no—
1626D4—1724no—
1627D4—1724no—
1628D4—1724no—
1629D4—1724no—
1630D4—1724no—
1631D4—1724no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
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—44no—
1666C2×C4—44no—
1667C2×C4—432no—
1668C2×C4—432no—
1669C2×C4—432no—
1670C2×C4—868no—
1671C2×C4—868no—
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—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4—1724no—
1710C2×C4—1724no—
1711C2×C4—1724no—
1712C2×C4—1724no—
1713C2×C4—1724no—
1714C2×C4—1724no—
1715C2×C4—1724no—
1716C2×C4—1724no—
1717C2×C4—1724no—
1718C2×C4—1724no—
1719C2×C4—1724no—
1720C2×C4—1724no—
1721C2×C4C2×D4×D4312yes—
1722C2×C4C2×D4×D4312yes—
1723C2×C4#41×D4312yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—434no—
1746C22—434no—
1747C22—434no—
1748C22—434no—
1749C22—434no—
1750C22—434no—
1751C22—434no—
1752C22—862no—
1753C22—862no—
1754C22—862no—
1755C22—862no—
1756C22—862no—
1757C22—862no—
1758C22—3448no—
1759C22—17216no—
1760C22—17216no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22—1721no—
1773C22—1721no—
1774C22—1721no—
1775C22—1721no—
1776C22C22×D4×D4311yescharacteristic
1777C22C2×#41×D4311yescharacteristic
1778C22C2×#41×D4311yescharacteristic
1779C22H(5,𝔽2)×D4311yescharacteristic
1780C22H(5,𝔽2)×D4311yescharacteristic
1781C22H(5,𝔽2)×D4311yescharacteristic
1782C222−1+4×D4311yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—862no—
1796C4—862no—
1797C4—862no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C4—1721no—
1803C4—1721no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—438no—
1811C2—3441no—
1812C2—1722no—
1813C2—1722no—
1814C2#525×D4311yescharacteristic
1815C2#534×D4311yescharacteristic
1816C2#537×D4311yescharacteristic
1817C2#538×D4311yescharacteristic
1818C2#539×D4311yescharacteristic
1819C2#540×D4311yescharacteristic
1820C2#542×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2630C2
prime radical#392×D43C2
hypercenter#2630D43
hypocenterC43C2×#2630
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#123×D43C2semidirect
2. C2×C4×D4×D43C2semidirect
3. #19140445C2semidirect
4. #19140444C2semidirect
5. #19140443C2semidirect
6. #19140442C2semidirect
7. #19140441C2semidirect
8. #19140440C2semidirect
9. #19140439C2semidirect
10. #19140438C2semidirect
11. #19140437C2semidirect
12. #19140436C2semidirect
13. #19140435C2semidirect
14. #19140434C2semidirect
15. #19140433C2semidirect
16. #19140432C2semidirect
17. #19140431C2semidirect
18. #398×D43C2semidirect
19. #397×D43C2semidirect
20. #396×D43C2semidirect
21. #396×D43C2semidirect
22. #394×D43C2semidirect
23. #394×D43C2semidirect
24. #394×D43C2semidirect
26. #388×D43C2semidirect
27. #387×D43C2semidirect
28. #386×D43C2semidirect
29. #385×D43C2semidirect
30. #380×D43C2semidirect
31. C43×#2630C2semidirect
37. C2×#13063310C22semidirect
38. C2×#13063310C22semidirect
39. C2×#13063309C22semidirect
40. C2×#13063308C22semidirect
41. C2×#13063307C22semidirect
42. C2×#13063307C22semidirect
43. C2×#13063306C22semidirect
45. C2×C4×D172C22semidirect
46. C2×D4×Dic43C22semidirect
47. C2×#13063287C22semidirect
48. C2×C4×C22⋊D43C22semidirect
49. C2×C4×C22⋊D43C22semidirect
50. C2×(C22⋊D43)⋊C4C22semidirect
51. C2×(C22⋊D43)⋊C4C22semidirect
75. #14582833C22semidirect
76. #14582833C22semidirect
77. #14582832C22semidirect
78. #14582832C22semidirect
79. #14582831C22semidirect
80. #14582830C22semidirect
81. #14582829C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
86. #14582826C22semidirect
87. #14582825C22semidirect
88. #14582824C22semidirect
89. #14582823C22semidirect
90. #14582823C22semidirect
91. #14582822C22semidirect
92. #14582822C22semidirect
93. #14582822C22semidirect
94. #14582822C22semidirect
95. #14582822C22semidirect
96. #14582822C22semidirect
97. #14582821C22semidirect
98. #14582821C22semidirect
99. #14582821C22semidirect
100. #14582821C22semidirect
101. #14582821C22semidirect
102. #14582821C22semidirect
103. #14582817C22semidirect
104. #14582817C22semidirect
105. #14582817C22semidirect
106. #14582816C22semidirect
107. #14582816C22semidirect
108. #14582816C22semidirect
109. #14582815C22semidirect
110. #14582815C22semidirect
111. #14582815C22semidirect
112. #14582815C22semidirect
113. #14582815C22semidirect
114. #14582815C22semidirect
115. #14582814C22semidirect
116. #14582814C22semidirect
117. #14582814C22semidirect
118. #14582814C22semidirect
119. #14582814C22semidirect
120. #14582814C22semidirect
121. #14582813C22semidirect
122. #14582813C22semidirect
123. #14582813C22semidirect
131. #14582793C22semidirect
132. #14582792C22semidirect
133. #14582791C22semidirect
134. #14582790C22semidirect
135. #14582789C22semidirect
136. #14582788C22semidirect
137. #14582787C22semidirect
138. #14582786C22semidirect
139. #14582785C22semidirect
140. #14582784C22semidirect
141. #14582783C22semidirect
142. #14582782C22semidirect
143. #14582781C22semidirect
144. #14582780C22semidirect
145. #14582779C22semidirect
146. #14582778C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
149. #14582776C22semidirect
150. #14582775C22semidirect
151. #14582775C22semidirect
152. #14582774C22semidirect
153. #14582773C22semidirect
154. #14582773C22semidirect
155. #14582772C22semidirect
156. #14582771C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582759C22semidirect
160. #14582758C22semidirect
161. #14582758C22semidirect
162. #14582757C22semidirect
163. #14582757C22semidirect
164. #14582756C22semidirect
165. #14582756C22semidirect
174. C2×#123×C43C22semidirect
175. C2×C4×D4×C43C22semidirect
176. C43×#398C22semidirect
177. C43×#397C22semidirect
178. C43×#396C22semidirect
179. C43×#396C22semidirect
180. C43×#394C22semidirect
181. C43×#394C22semidirect
182. C43×#394C22semidirect
184. C43×#388C22semidirect
185. C43×#387C22semidirect
186. C43×#386C22semidirect
187. C43×#385C22semidirect
188. C43×#380C22semidirect
217. C22×C4×D43D4semidirect
439. C22×C4×C43C2×D4semidirect
475. C22×Dic43C2×D4semidirect
547. C2×C4×D43C2×D4semidirect
548. C2×C4×D43C2×D4semidirect
914. #2630D43direct (N × H)
941. D43#2630direct (N × H)
955. C2×#123C2×D43semidirect
964. C2×C4×D4C2×D43semidirect
994. #398C2×D43semidirect
1002. #397C2×D43semidirect
1017. #396C2×D43semidirect
1018. #396C2×D43semidirect
1040. #394C2×D43semidirect
1041. #394C2×D43semidirect
1042. #394C2×D43semidirect
1058. #388C2×D43semidirect
1066. #387C2×D43semidirect
1074. #386C2×D43semidirect
1082. #385C2×D43semidirect
1090. #380C2×D43semidirect
1099. C43C2×#2630semidirect
1448. C22×C4D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D432
C2×C4×D4×D432
#191404452
#191404442
#191404432
#191404422
#191404412
#191404402
#191404392
#191404382
#191404372
#191404362
#191404352
#191404342
#191404332
#191404322
#191404312
#398×D432
#397×D432
#396×D432
#394×D432
#392×D432
#388×D432
#387×D432
#386×D432
#385×D432
#380×D432
C43×#26302
C2×#263043