Finite Group Databasebeta

← D13×#3344 #16741458

Subgroups — D13×#3344 #16741458

Order 3328.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D13×#554C211yesmaximal, characteristic
2D13×#552C211yesmaximal, characteristic
3#13127298C211yesmaximal, characteristic, complemented
4#13127297C211yesmaximal, characteristic, complemented
5#13127296C211yesmaximal, characteristic, complemented
6#13127295C211yesmaximal, characteristic, complemented
7#13127294C211yesmaximal, characteristic, complemented
8#13127293C211yesmaximal, characteristic, complemented
9#13127292C211yesmaximal, characteristic, complemented
10#13127291C211yesmaximal, characteristic, complemented
11#13127290C211yesmaximal, characteristic, complemented
12#13127289C211yesmaximal, characteristic, complemented
13#13127288C211yesmaximal, characteristic, complemented
14#13127287C211yesmaximal, characteristic, complemented
15#13127286C211yesmaximal, characteristic, complemented
16#13127285C211yesmaximal, characteristic, complemented
17#13127284C211yesmaximal, characteristic, complemented
18D13×#501C211yesmaximal, characteristic, complemented
19D13×#484C211yesmaximal, characteristic, complemented
20D13×#485C211yesmaximal, characteristic, complemented
21D13×#483C211yesmaximal, characteristic, complemented
22D13×#483C211yesmaximal, characteristic, complemented
23D13×#479C211yesmaximal, characteristic, complemented
24D13×#475C211yesmaximal, characteristic, complemented
25D13×#470C211yesmaximal, characteristic, complemented
26D13×#467C211yesmaximal, characteristic, complemented
27D13×#441C211yesmaximal, characteristic, complemented
28D13×#435C211yesmaximal, characteristic
29D13×#428C211yesmaximal, characteristic, complemented
30C2×D13×#106C211yesmaximal, characteristic, complemented
31C13×#3344C211yesmaximal, characteristic, complemented
32C13×#554C2211yescharacteristic
33C13×#552C2211yescharacteristic
34C2×Q16×D13C2211yescharacteristic
35C2×M16×D13C2211yescharacteristic
36C22×C8×D13C2211yescharacteristic
37#11719435C2211yescharacteristic
38D13×C4⋊Q8C2211yescharacteristic
39#11719413—21no—
40D13×#126—21no—
41#11719399C2211yescharacteristic
42#11719398—21no—
43#11719395—21no—
44D13×#125—21no—
45D13×#125—21no—
46D13×#125C2211yescharacteristic
47D13×#123—21no—
48#11719355—21no—
49#11719347C2211yescharacteristic
50#11719344C2211yescharacteristic
51#11719341—21no—
52#11719341—21no—
53#11719340C2211yescharacteristic
54#11719340C2211yescharacteristic
55D13×C22⋊Q8—21no—
56D13×C22⋊Q8—21no—
57D13×C22⋊Q8C2211yescharacteristic
58D13×C22⋊Q8C2211yescharacteristic
59D13×C22⋊Q8C2211yescharacteristic
60D13×C22⋊Q8C2211yescharacteristic
61#11719286C2211yescharacteristic
62#11719284C2211yescharacteristic
63C4×Q8×D13C2211yescharacteristic
64C4×Q8×D13C2211yescharacteristic
65C4×D4×D13—21no—
66C4×D4×D13C2211yescharacteristic
67#11719248C2211yescharacteristic
68#11719246C2211yescharacteristic
69#11719244—21no—
70#11719236—21no—
71#11719234C2211yescharacteristic
72D13×#117—21no—
73D13×#117C2211yescharacteristic
74#11719218C2211yescharacteristic
75#11719216C2211yescharacteristic
76#11719216C2211yescharacteristic
77C2×C4⋊C4×D13C2211yescharacteristic
78C2×C4⋊C4×D13C2211yescharacteristic
79C2×C4⋊C4×D13C2211yescharacteristic
80C13×#501C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#484C2211yescharacteristic, complemented
83C13×#483C2211yescharacteristic, complemented
84C13×#483C2211yescharacteristic, complemented
85C13×#479C2211yescharacteristic, complemented
86C13×#475C2211yescharacteristic, complemented
87C13×#470C2211yescharacteristic, complemented
88C13×#467C2211yescharacteristic, complemented
89C13×#441C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic
91C13×#428C2211yescharacteristic, complemented
92C2×C13×#106C2211yescharacteristic, complemented
93#11718850C2211yescharacteristic, complemented
94#11718849C2211yescharacteristic, complemented
95#11718845C2211yescharacteristic, complemented
96#11718798C2211yescharacteristic, complemented
97#11718788C2211yescharacteristic
98#11718782C2211yescharacteristic, complemented
99#11718777C2211yescharacteristic, complemented
100#11718772C2211yescharacteristic
101C2×#88057C2211yescharacteristic, complemented
102#11718755C2211yescharacteristic, complemented
103#11718741C2211yescharacteristic, complemented
104#11718726C2211yescharacteristic, complemented
105#11718724C2211yescharacteristic, complemented
106#11718713C2211yescharacteristic, complemented
107#11718713C2211yescharacteristic, complemented
108#11718712C2211yescharacteristic, complemented
109#11718712C2211yescharacteristic, complemented
110#11718706C2211yescharacteristic, complemented
111#11718705C2211yescharacteristic, complemented
112#11718704C2211yescharacteristic, complemented
113#11718704C2211yescharacteristic, complemented
114#11718691C2211yescharacteristic, complemented
115#11718691C2211yescharacteristic, complemented
116#11718683C2211yescharacteristic, complemented
117#11718681C2211yescharacteristic, complemented
118#11718672C2211yescharacteristic
119#11718657C2211yescharacteristic, complemented
120#11718656C2211yescharacteristic, complemented
121#11718632C2211yescharacteristic, complemented
122#11718632C2211yescharacteristic, complemented
123#11718631C2211yescharacteristic, complemented
124#11718625C2211yescharacteristic, complemented
125C2×#88048C2211yescharacteristic, complemented
126C2×#88048C2211yescharacteristic, complemented
127#11718549C2211yescharacteristic, complemented
128#11718548C2211yescharacteristic, complemented
129#11718545C2211yescharacteristic, complemented
130#11718545C2211yescharacteristic, complemented
131#11718542C2211yescharacteristic, complemented
132#11718542C2211yescharacteristic, complemented
133D13×#107C2211yescharacteristic
134D13×#107C2211yescharacteristic
135D13×#107C2211yescharacteristic
136#11718538C2211yescharacteristic, complemented
137#11718537C2211yescharacteristic, complemented
138#11718537C2211yescharacteristic, complemented
139#11718529C2211yescharacteristic, complemented
140#11718528C2211yescharacteristic, complemented
141#11718523C2211yescharacteristic, complemented
142#11718523C2211yescharacteristic, complemented
143#11718523C2211yescharacteristic, complemented
144#11718523C2211yescharacteristic, complemented
145#11718522C2211yescharacteristic, complemented
146#11718522C2211yescharacteristic, complemented
147D13×#106C2211yescharacteristic
148D13×#106C2211yescharacteristic
149D13×#106C2211yescharacteristic
150D13×#106C2211yescharacteristic
151D13×#106C2211yescharacteristic
152D13×#106C2211yescharacteristic
153D13×#106C2211yescharacteristic, complemented
154D13×#106C2211yescharacteristic, complemented
155D13×#106C2211yescharacteristic, complemented
156D13×#106C2211yescharacteristic, complemented
157#11718518C2211yescharacteristic, complemented
158#11718517C2211yescharacteristic, complemented
159#11718517C2211yescharacteristic, complemented
160#11718515C2211yescharacteristic, complemented
161#11718515C2211yescharacteristic, complemented
162#11718514C2211yescharacteristic, complemented
163#11718512C2211yescharacteristic, complemented
164#11718497C2211yescharacteristic
165D13×C4⋊C8C2211yescharacteristic
166#11718490C2211yescharacteristic, complemented
167#11718477C2211yescharacteristic, complemented
168#11718477C2211yescharacteristic, complemented
169#11718476C2211yescharacteristic, complemented
170#11718475C2211yescharacteristic, complemented
171#11718474C2211yescharacteristic, complemented
172#11718474C2211yescharacteristic, complemented
173#11718470C2211yescharacteristic, complemented
174#11718470C2211yescharacteristic, complemented
175#11718466C2211yescharacteristic, complemented
176#11718466C2211yescharacteristic, complemented
177#11718466C2211yescharacteristic, complemented
178#11718466C2211yescharacteristic, complemented
179D13×#103C2211yescharacteristic
180D13×#103C2211yescharacteristic
181D13×#103C2211yescharacteristic
182D13×#103C2211yescharacteristic
183D13×#103C2211yescharacteristic
184D13×#103C2211yescharacteristic
185#11718460C2211yescharacteristic, complemented
186#11718457C2211yescharacteristic, complemented
187#11718452C2211yescharacteristic, complemented
188#11718452C2211yescharacteristic, complemented
189#11718450C2211yescharacteristic, complemented
190#11718450C2211yescharacteristic, complemented
191#11718391C2211yescharacteristic
192#11718389C2211yescharacteristic
193D13×C22⋊C8C2211yescharacteristic
194D13×C22⋊C8C2211yescharacteristic
195#11718384C2211yescharacteristic, complemented
196#11718383C2211yescharacteristic, complemented
197#11718382C2211yescharacteristic, complemented
198#11718382C2211yescharacteristic, complemented
199#11718377C2211yescharacteristic, complemented
200#11718367C2211yescharacteristic
201D13×#97C2211yescharacteristic
202#11718363C2211yescharacteristic, complemented
203C2×Q8×D13—21no—
204C2×Q8×D13C2311yescharacteristic
205C2×Q8×D13C2311yescharacteristic
206C2×D4×D13D411yescharacteristic
207C22×C4×D13—21no—
208C22×C4×D13—21no—
209C22×C4×D13—21no—
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C2×C13×Q16C2311yescharacteristic
213C2×C13×M16C2311yescharacteristic
214C22×C8×C13C2311yescharacteristic
215C13×C4⋊Q8C2311yescharacteristic
216C13×#126—21no—
217C13×#125—21no—
218C13×#125—21no—
219C13×#125C2311yescharacteristic
220C13×#123—21no—
221C13×C22⋊Q8—21no—
222C13×C22⋊Q8—21no—
223C13×C22⋊Q8C2311yescharacteristic
224C13×C22⋊Q8C2311yescharacteristic
225C13×C22⋊Q8C2311yescharacteristic
226C13×C22⋊Q8C2311yescharacteristic
227C4×Q8×C13C2311yescharacteristic
228C4×Q8×C13C2311yescharacteristic
229C4×D4×C13—21no—
230C4×D4×C13C2311yescharacteristic
231C13×#117—21no—
232C13×#117C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236#88200—21no—
237#88200—21no—
238#88200C2311yescharacteristic
239#88200C2311yescharacteristic
240#88200C2311yescharacteristic
241#88200C2311yescharacteristic
242Q8×Dic13C2311yescharacteristic
243Q8×Dic13C2311yescharacteristic
244#88198—21no—
245C2×#6107C2311yescharacteristic
246C2×#6107C2311yescharacteristic
247#88189—21no—
248D4×Dic13—21no—
249D4×Dic13D411yescharacteristic
250#88183—21no—
251C4×C22⋊D13—21no—
252C4×C22⋊D13—21no—
253C4×C22⋊D13C2311yescharacteristic
254C4×C22⋊D13C2311yescharacteristic
255#88180—21no—
256#88180C2311yescharacteristic
257C2×C4⋊Dic13C2311yescharacteristic
258C2×C4⋊Dic13C2311yescharacteristic
259C2×C4⋊Dic13C2311yescharacteristic
260#88178—21no—
261#88178—21no—
262#88178C2311yescharacteristic
263#88178C2311yescharacteristic
264#88178C2311yescharacteristic
265#88178C2311yescharacteristic
266C2×#6101—21no—
267C2×#6101—21no—
268C2×#6101—21no—
269C2×#6099C2311yescharacteristic
270C22×#1055C2311yescharacteristic
271Q16×D13—24no—
272M16×D13—24no—
273C2×Dic52C2311yescharacteristic
274C2×#6094C2311yescharacteristic
275C2×#6094C2311yescharacteristic
276C2×C8×D13—24no—
277C2×C8×D13C2311yescharacteristic
278C2×C8×D13C2311yescharacteristic
279C2×C8×D13C2311yescharacteristic
280C2×C8×D13C2311yescharacteristic
281C2×C8×D13C2311yescharacteristic
282C2×C8×D13C2311yescharacteristic
283#88152—21no—
284#88152—21no—
285#88152—21no—
286#88151—21no—
287#88151—21no—
288#88151C2311yescharacteristic
289#88151C2311yescharacteristic
290#88151C2311yescharacteristic
291#88151C2311yescharacteristic
292#88150—21no—
293#88150—21no—
294#88150—21no—
295#88150—21no—
296#88150—21no—
297#88150—21no—
298#88150—21no—
299#88150—21no—
300#88148—21no—
301#88148—21no—
302#88147—21no—
303#88147D411yescharacteristic
304#88146—21no—
305#88146—21no—
306#88146C2311yescharacteristic
307#88146C2311yescharacteristic
308C4⋊C4×D13—21no—
309C4⋊C4×D13—21no—
310C4⋊C4×D13—21no—
311C4⋊C4×D13—21no—
312C4⋊C4×D13—21no—
313C4⋊C4×D13—21no—
314C4⋊C4×D13—21no—
315C4⋊C4×D13—21no—
316C4⋊C4×D13—21no—
317C4⋊C4×D13—21no—
318C4⋊C4×D13—21no—
319C4⋊C4×D13—21no—
320C4⋊C4×D13—21no—
321C4⋊C4×D13—21no—
322C4⋊C4×D13—21no—
323C4⋊C4×D13D411yescharacteristic
324C4⋊C4×D13C2311yescharacteristic
325C4⋊C4×D13C2311yescharacteristic
326C4⋊C4×D13C2311yescharacteristic
327C4⋊C4×D13C2311yescharacteristic
328C4⋊C4×D13C2311yescharacteristic
329C4⋊C4×D13C2311yescharacteristic
330C4⋊C4×D13C2311yescharacteristic
331C4⋊C4×D13C2311yescharacteristic
332C4⋊C4×D13C2311yescharacteristic
333C4⋊C4×D13C2311yescharacteristic
334C4⋊C4×D13C2311yescharacteristic
335C4⋊C4×D13C2311yescharacteristic
336#88144—21no—
337#88144—21no—
338#88144—21no—
339#88144—21no—
340#88144C2311yescharacteristic
341#88144C2311yescharacteristic
342#88143—21no—
343#88143—21no—
344#88143—21no—
345#88143—21no—
346#88143—21no—
347#88143—21no—
348#88143—21no—
349#88143—21no—
350#88143—21no—
351#88143—21no—
352#88142—21no—
353#88142C2311yescharacteristic
354#88142C2311yescharacteristic
355#88141—21no—
356#88141—21no—
357#88141C2311yescharacteristic
358#88141C2311yescharacteristic
359#88140—21no—
360#88137—21no—
361#88137—21no—
362#88135—21no—
363#88135—21no—
364#88135D411yescharacteristic
365#88135D411yescharacteristic
366C22⋊C4×D13—21no—
367C22⋊C4×D13—21no—
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370C22⋊C4×D13—21no—
371C22⋊C4×D13D411yescharacteristic
372C22⋊C4×D13D411yescharacteristic
373#88133—21no—
374#88133—21no—
375#88133—21no—
376#88132—21no—
377#88132—21no—
378#88132—21no—
379#88132—21no—
380#88132—21no—
381#88132—21no—
382#88132—21no—
383#88132—21no—
384#88131—21no—
385#88131—21no—
386#88131—21no—
387#88130—21no—
388C4×D52—21no—
389C4×D52C2311yescharacteristic
390#88126—21no—
391#88126—21no—
392#88126—21no—
393C42×D13—21no—
394C42×D13—21no—
395C42×D13—21no—
396C42×D13C2311yescharacteristic
397#88124—21no—
398#88124—21no—
399#88124C2311yescharacteristic
400#88123C2311yescharacteristic
401C4×Dic26—21no—
402C4×Dic26—21no—
403C4×Dic26C2311yescharacteristic
404C4×Dic26C2311yescharacteristic
405C13×#107C2311yescharacteristic
406C13×#107C2311yescharacteristic
407C13×#107C2311yescharacteristic
408C13×#106C2311yescharacteristic
409C13×#106C2311yescharacteristic
410C13×#106C2311yescharacteristic
411C13×#106C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#103C2311yescharacteristic
419C13×#103C2311yescharacteristic
420C13×#103C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C13×#97C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88075C2311yescharacteristic
428#88075C2311yescharacteristic
429#88075C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432#88060C2311yescharacteristic
433#88060C2311yescharacteristic
434#88060C2311yescharacteristic
435#88060C2311yescharacteristic
436#88058C2311yescharacteristic
437#88058C2311yescharacteristic
438#88058C2311yescharacteristic
439#88057C2311yescharacteristic
440#88057C2311yescharacteristic
441#88057C2311yescharacteristic
442#88057C2311yescharacteristic
443#88057C2311yescharacteristic
444#88057C2311yescharacteristic
445#88056C2311yescharacteristic
446#88056C2311yescharacteristic
447#88056C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88055C2311yescharacteristic
452#88055C2311yescharacteristic
453#88054C2311yescharacteristic
454#88054C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88050C2311yescharacteristic
459#88050C2311yescharacteristic
460#88050C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88048C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481C2×#3344—131nomaximal, Sylow
482C23×D13C2×D411yescharacteristic
483C23×D13C2×D411yescharacteristic
484C2×Q8×C13—21no—
485C2×Q8×C13C2411yescharacteristic
486C2×Q8×C13C2411yescharacteristic
487C2×D4×C13C2×D411yescharacteristic
488C22×C4×C13—21no—
489C22×C4×C13—21no—
490C22×C4×C13—21no—
491C22×C4×C13C2411yescharacteristic
492C22×C4×C13C2411yescharacteristic
493C2×C22⋊D13C2×D411yescharacteristic
494C2×C22⋊D13C2×D411yescharacteristic
495C22×Dic13—21no—
496C22×Dic13—21no—
497C22×Dic13—21no—
498C22×Dic13C2×D411yescharacteristic
499C22×Dic13C2×D411yescharacteristic
500Q8×D13—22no—
501Q8×D13—22no—
502Q8×D13—22no—
503Q8×D13—22no—
504Q8×D13—82no—
505D4×D13—24no—
506C2×D52C2×D411yescharacteristic
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—21no—
512C2×C4×D13—21no—
513C2×C4×D13—21no—
514C2×C4×D13—21no—
515C2×C4×D13—21no—
516C2×C4×D13—21no—
517C2×C4×D13—21no—
518C2×C4×D13—21no—
519C2×C4×D13—21no—
520C2×C4×D13—21no—
521C2×C4×D13—21no—
522C2×C4×D13—21no—
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—44no—
526C2×C4×D13—82no—
527C2×C4×D13—82no—
528C2×C4×D13C2×D411yescharacteristic
529C2×C4×D13C2×D411yescharacteristic
530C2×C4×D13C2×D411yescharacteristic
531C2×C4×D13C2×D411yescharacteristic
532C2×C4×D13C2×D411yescharacteristic
533C2×C4×D13C2×D411yescharacteristic
534C2×C4×D13C2411yescharacteristic
535C2×C4×D13C2411yescharacteristic
536C2×C4×D13C2411yescharacteristic
537C2×Dic26—21no—
538C2×Dic26—21no—
539C2×Dic26—21no—
540C2×Dic26—21no—
541C2×Dic26—21no—
542C2×Dic26C2411yescharacteristic
543C2×Dic26C2411yescharacteristic
544C13×Q16—22no—
545C13×M16—22no—
546C2×C8×C13—22no—
547C2×C8×C13C2411yescharacteristic
548C2×C8×C13C2411yescharacteristic
549C2×C8×C13C2411yescharacteristic
550C2×C8×C13C2411yescharacteristic
551C13×C4⋊C4—21no—
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4C2×D411yescharacteristic
564C13×C4⋊C4C2411yescharacteristic
565C13×C4⋊C4C2411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C22⋊C4—21no—
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4C2×D411yescharacteristic
576C13×C22⋊C4C2×D411yescharacteristic
577C42×C13—21no—
578C42×C13—21no—
579C42×C13—21no—
580C42×C13C2411yescharacteristic
581C22⋊Dic13—21no—
582C22⋊Dic13—21no—
583C22⋊Dic13—21no—
584C22⋊Dic13—21no—
585C22⋊Dic13—21no—
586C22⋊Dic13C2×D411yescharacteristic
587C22⋊Dic13C2×D411yescharacteristic
588#6107—22no—
589#6107—22no—
590#6103—21no—
591#6103—21no—
592#6103—21no—
593#6103—21no—
594#6103—21no—
595#6103—21no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103C2×D411yescharacteristic
601#6103C2×D411yescharacteristic
602#6103C2×D411yescharacteristic
603#6103C2×D411yescharacteristic
604C4⋊Dic13—21no—
605C4⋊Dic13—21no—
606C4⋊Dic13—21no—
607C4⋊Dic13—21no—
608C4⋊Dic13—21no—
609C4⋊Dic13—21no—
610C4⋊Dic13—21no—
611C4⋊Dic13—21no—
612C4⋊Dic13—21no—
613C4⋊Dic13—21no—
614C4⋊Dic13—21no—
615C4⋊Dic13—21no—
616C4⋊Dic13C2×D411yescharacteristic
617C4⋊Dic13C2411yescharacteristic
618C4⋊Dic13C2411yescharacteristic
619C4⋊Dic13C2411yescharacteristic
620C4⋊Dic13C2411yescharacteristic
621C4⋊Dic13C2411yescharacteristic
622C4⋊Dic13C2411yescharacteristic
623#6101—21no—
624#6101—21no—
625#6101—21no—
626#6101—21no—
627#6101—21no—
628#6101—21no—
629#6101—21no—
630#6101—21no—
631#6101—21no—
632#6101—21no—
633#6101—21no—
634#6101—21no—
635#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101C2×D411yescharacteristic
654#6101C2×D411yescharacteristic
655C4×Dic13—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659C4×Dic13—21no—
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13C2×D411yescharacteristic
665C4×Dic13C2×D411yescharacteristic
666C4×Dic13C2411yescharacteristic
667#6099—22no—
668C2×#1055—22no—
669C2×#1055C2411yescharacteristic
670C2×#1055C2411yescharacteristic
671C2×#1055C2411yescharacteristic
672C2×#1055C2411yescharacteristic
673Dic52—22no—
674#6094—22no—
675#6094—22no—
676C8×D13—22no—
677C8×D13—22no—
678C8×D13—22no—
679C8×D13—22no—
680C8×D13—22no—
681C8×D13#4114yes—
682C2×#554—131no—
683C2×#552—131no—
684#3344—131no—
685#3344—131no—
686#3344—131no—
687#3344—131no—
688#3344—131no—
689#3344—131no—
690#3344—131no—
691#3344—131no—
692#3344—131no—
693#3344—131no—
694#3344—131no—
695#3344—131no—
696#3344—131no—
697#3344—131no—
698#3344—131no—
699#3344D1311yescharacteristic, direct product factor
700C2×#501—131no—
701C2×#484—131no—
702C2×#485—131no—
703C2×#483—131no—
704C2×#483—131no—
705C2×#479—131no—
706C2×#475—131no—
707C2×#470—131no—
708C2×#467—131no—
709C2×#441—131no—
710C2×#435—131no—
711C2×#428—131no—
712C22×#106—131no—
713C23×C13C22×D411yescharacteristic
714C23×C13C22×D411yescharacteristic
715C22×D13—22no—
716C22×D13—22no—
717C22×D13—22no—
718C22×D13—22no—
719C22×D13—22no—
720C22×D13#13714yes—
721C22×D13C22×D411yescharacteristic
722C22×D13C22×D411yescharacteristic
723C22×D13C22×D411yescharacteristic
724Q8×C13—21no—
725Q8×C13—21no—
726Q8×C13—21no—
727Q8×C13—21no—
728Q8×C13—81no—
729D4×C13—22no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—42no—
743C2×C4×C13—81no—
744C2×C4×C13—81no—
745C2×C4×C13C22×D411yescharacteristic
746C2×C4×C13C22×D411yescharacteristic
747C2×C4×C13C22×D411yescharacteristic
748C2×C4×C13C22×D411yescharacteristic
749C2×C4×C13C2511yescharacteristic
750C22⋊D13—22no—
751C22⋊D13—22no—
752C2×Dic13—22no—
753C2×Dic13—22no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—42no—
763C2×Dic13—81no—
764C2×Dic13—81no—
765C2×Dic13C22×D411yescharacteristic
766C2×Dic13C22×D411yescharacteristic
767C2×Dic13C22×D411yescharacteristic
768C2×Dic13C22×D411yescharacteristic
769C2×Dic13C22×D411yescharacteristic
770D52—22no—
771C4×D13—22no—
772C4×D13—22no—
773C4×D13—22no—
774C4×D13—22no—
775C4×D13—21no—
776C4×D13—21no—
777C4×D13—21no—
778C4×D13—21no—
779C4×D13—22no—
780C4×D13—22no—
781C4×D13—42no—
782C4×D13—42no—
783C4×D13—42no—
784C4×D13—42no—
785C4×D13—42no—
786C4×D13—42no—
787C4×D13—42no—
788C4×D13—42no—
789C4×D13—42no—
790C4×D13—42no—
791C4×D13—81no—
792C4×D13—81no—
793C4×D13—81no—
794C4×D13—81no—
795C4×D13C2×#4112yes—
796C4×D132−1+412yes—
797Dic26—21no—
798Dic26—21no—
799Dic26—21no—
800Dic26—21no—
801Dic26—42no—
802Dic26—42no—
803Dic26—81no—
804Dic26—81no—
805Dic26—81no—
806C8×C13—21no—
807C8×C13—21no—
808C8×C13—21no—
809C8×C13C2×#4112yes—
810#1055—21no—
811#1055—21no—
812#1055—21no—
813#1055C2×#4112yes—
814C22×Q16—131no—
815C22×M16—131no—
816C23×C8—131no—
817#554—131no—
818#554—131no—
819#554—131no—
820#554—131no—
821#554—131no—
822#554—131no—
823#554—131no—
824#554—261no—
825#554—261no—
826#554—261no—
827#554—261no—
828#554C2×D1311yescharacteristic
829#552—131no—
830#552—131no—
831#552—131no—
832#552—131no—
833#552—131no—
834#552—131no—
835#552—131no—
836#552—261no—
837#552—261no—
838#552—261no—
839#552—261no—
840#552C2×D1311yescharacteristic
841C2×C4⋊Q8—131no—
842C2×#126—261no—
843C2×#125—131no—
844C2×#125—261no—
845C2×#125—261no—
846C2×#123—261no—
847C2×C22⋊Q8—131no—
848C2×C22⋊Q8—131no—
849C2×C22⋊Q8—131no—
850C2×C22⋊Q8—131no—
851C2×C22⋊Q8—261no—
852C2×C22⋊Q8—261no—
853C2×C4×Q8—131no—
854C2×C4×Q8—131no—
855C2×C4×D4—131no—
856C2×C4×D4—261no—
857C2×#117—131no—
858C2×#117—261no—
859C22×C4⋊C4—131no—
860C22×C4⋊C4—131no—
861C22×C4⋊C4—131no—
862#501—131no—
863#501—131no—
864#501—131no—
865#501—131no—
866#501—131no—
867#501—131no—
868#501—131no—
869#501C2×D1311yescharacteristic, complemented
870#485—131no—
871#485—131no—
872#485—131no—
873#485—131no—
874#485—131no—
875#485—131no—
876#485—131no—
877#485C2×D1311yescharacteristic, complemented
878#484—131no—
879#484—131no—
880#484—131no—
881#484—131no—
882#484—131no—
883#484—131no—
884#484—131no—
885#484C2×D1311yescharacteristic, complemented
886#483—131no—
887#483—131no—
888#483—131no—
889#483—131no—
890#483—131no—
891#483—131no—
892#483—131no—
893#483—131no—
894#483—131no—
895#483—131no—
896#483—131no—
897#483—131no—
898#483—131no—
899#483—131no—
900#483C2×D1311yescharacteristic, complemented
901#483C2×D1311yescharacteristic, complemented
902#479—131no—
903#479—131no—
904#479—131no—
905#479—131no—
906#479—131no—
907#479—131no—
908#479—131no—
909#479C2×D1311yescharacteristic, complemented
910#475—131no—
911#475—131no—
912#475—131no—
913#475—131no—
914#475—131no—
915#475—131no—
916#475—131no—
917#475C2×D1311yescharacteristic, complemented
918#470—131no—
919#470—131no—
920#470—131no—
921#470—131no—
922#470—131no—
923#470—131no—
924#470—131no—
925#470C2×D1311yescharacteristic, complemented
926#467—131no—
927#467—131no—
928#467—131no—
929#467—131no—
930#467—131no—
931#467—131no—
932#467—131no—
933#467C2×D1311yescharacteristic, complemented
934#441—131no—
935#441—131no—
936#441—131no—
937#441—131no—
938#441—131no—
939#441—131no—
940#441—131no—
941#441C2×D1311yescharacteristic, complemented
942#435—131no—
943#435—131no—
944#435—131no—
945#435—131no—
946#435—131no—
947#435—131no—
948#435—131no—
949#435C2×D1311yescharacteristic
950#428—131no—
951#428—131no—
952#428—131no—
953#428—131no—
954#428—131no—
955#428—131no—
956#428—131no—
957#428C2×D1311yescharacteristic, complemented
958C2×#107—131no—
959C2×#107—131no—
960C2×#107—131no—
961C2×#106—131no—
962C2×#106—131no—
963C2×#106—131no—
964C2×#106—131no—
965C2×#106—131no—
966C2×#106—131no—
967C2×#106—131no—
968C2×#106—131no—
969C2×#106—131no—
970C2×#106—131no—
971C2×#106—131no—
972C2×#106—131no—
973C2×#106—131no—
974C2×#106C2×D1311yescharacteristic, complemented
975C2×C4⋊C8—131no—
976C2×#103—131no—
977C2×#103—131no—
978C2×#103—131no—
979C2×#103—131no—
980C2×#103—131no—
981C2×#103—131no—
982C2×C22⋊C8—131no—
983C2×C22⋊C8—131no—
984C2×#97—131no—
985C22×C13—21no—
986C22×C13—21no—
987C22×C13—21no—
988C22×C13—21no—
989C22×C13—21no—
990C22×C13C2×#13712yes—
991C22×C13C23×D411yescharacteristic
992C2×D13—21no—
993C2×D13—21no—
994C2×D13—28no—
995C2×D13—21no—
996C2×D13—21no—
997C2×D13—21no—
998C2×D13—44no—
999C2×D13#54712yes—
1000C2×D13C2×#13712yes—
1001C2×D13C2×#13712yes—
1002C2×D13#57712yes—
1003C4×C13—21no—
1004C4×C13—21no—
1005C4×C13—21no—
1006C4×C13—21no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C4×C13—41no—
1010C4×C13—41no—
1011C4×C13—41no—
1012C4×C13—41no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13C22×#4111yescharacteristic
1016C4×C13C2×2−1+411yescharacteristic
1017Dic13—21no—
1018Dic13—21no—
1019Dic13—21no—
1020Dic13—21no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13#54712yes—
1030C22×Q8—131no—
1031C22×Q8—131no—
1032C22×Q8—261no—
1033C22×D4—131no—
1034C23×C4—131no—
1035C23×C4—131no—
1036C23×C4—261no—
1037C23×C4—261no—
1038C23×C4—261no—
1039C2×Q16—131no—
1040C2×Q16—131no—
1041C2×Q16—131no—
1042C2×Q16—264no—
1043C2×Q16C22×D1311yescharacteristic
1044C2×M16—131no—
1045C2×M16—131no—
1046C2×M16—131no—
1047C2×M16—264no—
1048C2×M16C22×D1311yescharacteristic
1049C22×C8—131no—
1050C22×C8—131no—
1051C22×C8—131no—
1052C22×C8—131no—
1053C22×C8—131no—
1054C22×C8—131no—
1055C22×C8—131no—
1056C22×C8—264no—
1057C22×C8C22×D1311yescharacteristic
1058C4⋊Q8—131no—
1059C4⋊Q8—131no—
1060C4⋊Q8—131no—
1061C4⋊Q8—261no—
1062C4⋊Q8—261no—
1063C4⋊Q8C22×D1311yescharacteristic
1064#126—21no—
1065#126—261no—
1066#126—261no—
1067#126—261no—
1068#126—261no—
1069#126—261no—
1070#126—261no—
1071#126—261no—
1072#125—21no—
1073#125—21no—
1074#125—131no—
1075#125—131no—
1076#125—131no—
1077#125—261no—
1078#125—261no—
1079#125—261no—
1080#125—261no—
1081#125—261no—
1082#125—261no—
1083#125—261no—
1084#125—261no—
1085#125—261no—
1086#125—261no—
1087#125—261no—
1088#125—261no—
1089#125—261no—
1090#125—261no—
1091#125—261no—
1092#125—261no—
1093#125C22×D1311yescharacteristic
1094#123—21no—
1095#123—261no—
1096#123—261no—
1097#123—261no—
1098#123—261no—
1099#123—261no—
1100#123—261no—
1101#123—261no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—131no—
1105C22⋊Q8—131no—
1106C22⋊Q8—131no—
1107C22⋊Q8—131no—
1108C22⋊Q8—131no—
1109C22⋊Q8—131no—
1110C22⋊Q8—131no—
1111C22⋊Q8—131no—
1112C22⋊Q8—131no—
1113C22⋊Q8—131no—
1114C22⋊Q8—131no—
1115C22⋊Q8—131no—
1116C22⋊Q8—261no—
1117C22⋊Q8—261no—
1118C22⋊Q8—261no—
1119C22⋊Q8—261no—
1120C22⋊Q8—261no—
1121C22⋊Q8—261no—
1122C22⋊Q8—261no—
1123C22⋊Q8—261no—
1124C22⋊Q8—261no—
1125C22⋊Q8—261no—
1126C22⋊Q8—261no—
1127C22⋊Q8—261no—
1128C22⋊Q8—261no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133C22⋊Q8—261no—
1134C22⋊Q8—261no—
1135C22⋊Q8—261no—
1136C22⋊Q8—261no—
1137C22⋊Q8—261no—
1138C22⋊Q8C22×D1311yescharacteristic
1139C22⋊Q8C22×D1311yescharacteristic
1140C22⋊Q8C22×D1311yescharacteristic
1141C22⋊Q8C22×D1311yescharacteristic
1142C4×Q8—131no—
1143C4×Q8—131no—
1144C4×Q8—131no—
1145C4×Q8—131no—
1146C4×Q8—131no—
1147C4×Q8—131no—
1148C4×Q8—261no—
1149C4×Q8—261no—
1150C4×Q8—261no—
1151C4×Q8—261no—
1152C4×Q8C22×D1311yescharacteristic
1153C4×Q8C22×D1311yescharacteristic
1154C4×D4—21no—
1155C4×D4—131no—
1156C4×D4—131no—
1157C4×D4—131no—
1158C4×D4—131no—
1159C4×D4—131no—
1160C4×D4—131no—
1161C4×D4—131no—
1162C4×D4—261no—
1163C4×D4—261no—
1164C4×D4—261no—
1165C4×D4—261no—
1166C4×D4—261no—
1167C4×D4—261no—
1168C4×D4—261no—
1169C4×D4C22×D1311yescharacteristic
1170#117—21no—
1171#117—131no—
1172#117—131no—
1173#117—131no—
1174#117—261no—
1175#117—261no—
1176#117—261no—
1177#117—261no—
1178#117—261no—
1179#117—261no—
1180#117—261no—
1181#117—261no—
1182#117—261no—
1183#117C22×D1311yescharacteristic
1184C2×C4⋊C4—131no—
1185C2×C4⋊C4—131no—
1186C2×C4⋊C4—131no—
1187C2×C4⋊C4—131no—
1188C2×C4⋊C4—131no—
1189C2×C4⋊C4—131no—
1190C2×C4⋊C4—131no—
1191C2×C4⋊C4—131no—
1192C2×C4⋊C4—131no—
1193C2×C4⋊C4—131no—
1194C2×C4⋊C4—131no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4—131no—
1200C2×C4⋊C4—261no—
1201C2×C4⋊C4—261no—
1202C2×C4⋊C4—261no—
1203C2×C4⋊C4—261no—
1204C2×C4⋊C4—261no—
1205C2×C4⋊C4—261no—
1206C2×C4⋊C4—261no—
1207C2×C4⋊C4—261no—
1208C2×C4⋊C4—261no—
1209C2×C4⋊C4—261no—
1210C2×C4⋊C4—261no—
1211C2×C4⋊C4—261no—
1212C2×C4⋊C4—261no—
1213C2×C4⋊C4—261no—
1214C2×C4⋊C4—261no—
1215C2×C4⋊C4—261no—
1216C2×C4⋊C4—261no—
1217C2×C4⋊C4—261no—
1218C2×C4⋊C4C22×D1311yescharacteristic
1219C2×C4⋊C4C22×D1311yescharacteristic
1220C2×C4⋊C4C22×D1311yescharacteristic
1221C2×C22⋊C4—131no—
1222C2×C22⋊C4—131no—
1223C2×C22⋊C4—261no—
1224C2×C22⋊C4—261no—
1225C2×C22⋊C4—261no—
1226C2×C22⋊C4—261no—
1227C2×C22⋊C4—261no—
1228C2×C42—131no—
1229C2×C42—261no—
1230C2×C42—261no—
1231C2×C42—261no—
1232#107—131no—
1233#107—131no—
1234#107—131no—
1235#107—131no—
1236#107—131no—
1237#107—131no—
1238#107—131no—
1239#107—131no—
1240#107—131no—
1241#107C22×D1311yescharacteristic
1242#107C22×D1311yescharacteristic
1243#107C22×D1311yescharacteristic
1244#106—131no—
1245#106—131no—
1246#106—131no—
1247#106—131no—
1248#106—131no—
1249#106—131no—
1250#106—131no—
1251#106—131no—
1252#106—131no—
1253#106—131no—
1254#106—131no—
1255#106—131no—
1256#106—131no—
1257#106—131no—
1258#106—131no—
1259#106—131no—
1260#106—131no—
1261#106—131no—
1262#106C22×D1311yescharacteristic
1263#106C22×D1311yescharacteristic
1264#106C22×D1311yescharacteristic
1265#106C22×D1311yescharacteristic
1266#106C22×D1311yescharacteristic
1267#106C22×D1311yescharacteristic
1268C4⋊C8—131no—
1269C4⋊C8—131no—
1270C4⋊C8—131no—
1271C4⋊C8C22×D1311yescharacteristic
1272#103—131no—
1273#103—131no—
1274#103—131no—
1275#103—131no—
1276#103—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#103—131no—
1289#103—131no—
1290#103C22×D1311yescharacteristic
1291#103C22×D1311yescharacteristic
1292#103C22×D1311yescharacteristic
1293#103C22×D1311yescharacteristic
1294#103C22×D1311yescharacteristic
1295#103C22×D1311yescharacteristic
1296C22⋊C8—131no—
1297C22⋊C8—131no—
1298C22⋊C8—131no—
1299C22⋊C8—131no—
1300C22⋊C8—131no—
1301C22⋊C8—131no—
1302C22⋊C8C22×D1311yescharacteristic
1303C22⋊C8C22×D1311yescharacteristic
1304#97—131no—
1305#97—131no—
1306#97—131no—
1307#97C22×D1311yescharacteristic
1308C2×C13—22no—
1309C2×C13—41no—
1310C2×C13C2×#54711yescharacteristic
1311C2×C13C22×#13711yescharacteristic
1312C2×C13C2×#57711yescharacteristic
1313D13—22no—
1314D13—41no—
1315D13#334414yesdirect product factor
1316C24—131no—
1317C24—131no—
1318C2×Q8—21no—
1319C2×Q8—131no—
1320C2×Q8—131no—
1321C2×Q8—261no—
1322C2×Q8—261no—
1323C2×Q8—261no—
1324C2×Q8—261no—
1325C2×Q8—262no—
1326C2×Q8—262no—
1327C2×Q8—262no—
1328C2×Q8—262no—
1329C2×Q8—261no—
1330C2×Q8—1042no—
1331C2×Q8C23×D1311yescharacteristic
1332C2×Q8C23×D1311yescharacteristic
1333C2×D4—131no—
1334C2×D4—131no—
1335C2×D4—131no—
1336C2×D4—264no—
1337C2×D4D4×D1311yescharacteristic
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—131no—
1342C22×C4—131no—
1343C22×C4—131no—
1344C22×C4—131no—
1345C22×C4—131no—
1346C22×C4—131no—
1347C22×C4—131no—
1348C22×C4—131no—
1349C22×C4—131no—
1350C22×C4—131no—
1351C22×C4—131no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—261no—
1357C22×C4—261no—
1358C22×C4—261no—
1359C22×C4—261no—
1360C22×C4—261no—
1361C22×C4—261no—
1362C22×C4—261no—
1363C22×C4—261no—
1364C22×C4—261no—
1365C22×C4—261no—
1366C22×C4—261no—
1367C22×C4—261no—
1368C22×C4—261no—
1369C22×C4—261no—
1370C22×C4—261no—
1371C22×C4—261no—
1372C22×C4—261no—
1373C22×C4—524no—
1374C22×C4—1042no—
1375C22×C4—1042no—
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378Q16—22no—
1379Q16—262no—
1380Q16—262no—
1381Q16—262no—
1382M16—22no—
1383M16—262no—
1384M16—262no—
1385M16—262no—
1386C2×C8—22no—
1387C2×C8—131no—
1388C2×C8—134no—
1389C2×C8—131no—
1390C2×C8—131no—
1391C2×C8—131no—
1392C2×C8—262no—
1393C2×C8—262no—
1394C2×C8—262no—
1395C2×C8—262no—
1396C2×C8—262no—
1397C2×C8—262no—
1398C2×C8C23×D1311yescharacteristic
1399C2×C8C23×D1311yescharacteristic
1400C2×C8C23×D1311yescharacteristic
1401C2×C8C23×D1311yescharacteristic
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—131no—
1415C4⋊C4—131no—
1416C4⋊C4—131no—
1417C4⋊C4—131no—
1418C4⋊C4—131no—
1419C4⋊C4—131no—
1420C4⋊C4—131no—
1421C4⋊C4—131no—
1422C4⋊C4—131no—
1423C4⋊C4—261no—
1424C4⋊C4—261no—
1425C4⋊C4—261no—
1426C4⋊C4—261no—
1427C4⋊C4—261no—
1428C4⋊C4—261no—
1429C4⋊C4—261no—
1430C4⋊C4—261no—
1431C4⋊C4—261no—
1432C4⋊C4—261no—
1433C4⋊C4—261no—
1434C4⋊C4—261no—
1435C4⋊C4—261no—
1436C4⋊C4—261no—
1437C4⋊C4—261no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4—261no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4D4×D1311yescharacteristic
1466C4⋊C4C23×D1311yescharacteristic
1467C4⋊C4C23×D1311yescharacteristic
1468C4⋊C4C23×D1311yescharacteristic
1469C4⋊C4C23×D1311yescharacteristic
1470C4⋊C4C23×D1311yescharacteristic
1471C4⋊C4C23×D1311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—131no—
1478C22⋊C4—131no—
1479C22⋊C4—131no—
1480C22⋊C4—131no—
1481C22⋊C4—131no—
1482C22⋊C4—131no—
1483C22⋊C4—261no—
1484C22⋊C4—261no—
1485C22⋊C4—261no—
1486C22⋊C4—261no—
1487C22⋊C4—261no—
1488C22⋊C4—261no—
1489C22⋊C4—261no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4D4×D1311yescharacteristic
1499C22⋊C4D4×D1311yescharacteristic
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—131no—
1504C42—131no—
1505C42—131no—
1506C42—261no—
1507C42—261no—
1508C42—261no—
1509C42—261no—
1510C42—261no—
1511C42—261no—
1512C42—261no—
1513C42—261no—
1514C42—261no—
1515C42C23×D1311yescharacteristic
1516C13C2×#334411yescharacteristic, complemented, Sylow
1517C23—131no—
1518C23—134no—
1519C23—131no—
1520C23—131no—
1521C23—262no—
1522C23—262no—
1523C23—262no—
1524C23—262no—
1525C23—262no—
1526C23C2×D4×D1311yescharacteristic
1527C23C2×D4×D1311yescharacteristic
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—81no—
1533Q8—261no—
1534Q8—261no—
1535Q8—261no—
1536Q8—261no—
1537Q8—522no—
1538Q8—522no—
1539Q8—1041no—
1540Q8—1041no—
1541Q8—1041no—
1542D4—22no—
1543D4—262no—
1544D4—262no—
1545D4—262no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—42no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—131no—
1562C2×C4—132no—
1563C2×C4—132no—
1564C2×C4—131no—
1565C2×C4—131no—
1566C2×C4—131no—
1567C2×C4—131no—
1568C2×C4—262no—
1569C2×C4—262no—
1570C2×C4—262no—
1571C2×C4—262no—
1572C2×C4—262no—
1573C2×C4—262no—
1574C2×C4—262no—
1575C2×C4—262no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—522no—
1589C2×C4—522no—
1590C2×C4—522no—
1591C2×C4—522no—
1592C2×C4—522no—
1593C2×C4—522no—
1594C2×C4—522no—
1595C2×C4—522no—
1596C2×C4—522no—
1597C2×C4—522no—
1598C2×C4—522no—
1599C2×C4—1041no—
1600C2×C4—1041no—
1601C2×C4—1041no—
1602C2×C4—1041no—
1603C2×C4—1041no—
1604C2×C4—1041no—
1605C2×C4C2×D4×D1311yescharacteristic
1606C2×C4C2×D4×D1311yescharacteristic
1607C2×C4C2×D4×D1311yescharacteristic
1608C2×C4C2×D4×D1311yescharacteristic
1609C2×C4C24×D1311yescharacteristic
1610C8—21no—
1611C8—21no—
1612C8—21no—
1613C8—132no—
1614C8—261no—
1615C8—261no—
1616C8—261no—
1617C8#41×D1312yes—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—132no—
1624C22—132no—
1625C22—132no—
1626C22—132no—
1627C22—268no—
1628C22—261no—
1629C22—261no—
1630C22—261no—
1631C22—261no—
1632C22—261no—
1633C22—524no—
1634C22D13×#13712yes—
1635C22C22×D4×D1311yescharacteristic
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—132no—
1649C4—261no—
1650C4—261no—
1651C4—261no—
1652C4—261no—
1653C4—521no—
1654C4—521no—
1655C4—521no—
1656C4—521no—
1657C4—521no—
1658C4—521no—
1659C4—521no—
1660C4—521no—
1661C4C2×#41×D1311yescharacteristic
1662C4D13×2−1+411yescharacteristic
1663C2—22no—
1664C2—41no—
1665C2—134no—
1666C2—262no—
1667C2—521no—
1668C2D13×#54711yescharacteristic
1669C2C2×D13×#13711yescharacteristic
1670C2D13×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3344C2
socleC22×C13C23×D4
prime radicalC2×D4×D13D4
hypercenter#3344D13
hypocenterC13C2×#3344
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
3. #13127298C2semidirect
4. #13127297C2semidirect
5. #13127296C2semidirect
6. #13127295C2semidirect
7. #13127294C2semidirect
8. #13127293C2semidirect
9. #13127292C2semidirect
10. #13127291C2semidirect
11. #13127290C2semidirect
12. #13127289C2semidirect
13. #13127288C2semidirect
14. #13127287C2semidirect
15. #13127286C2semidirect
16. #13127285C2semidirect
17. #13127284C2semidirect
18. D13×#501C2semidirect
19. D13×#484C2semidirect
20. D13×#485C2semidirect
21. D13×#483C2semidirect
22. D13×#483C2semidirect
23. D13×#479C2semidirect
24. D13×#475C2semidirect
25. D13×#470C2semidirect
26. D13×#467C2semidirect
27. D13×#441C2semidirect
29. D13×#428C2semidirect
30. C2×D13×#106C2semidirect
31. C13×#3344C2semidirect
80. C13×#501C22semidirect
81. C13×#485C22semidirect
82. C13×#484C22semidirect
83. C13×#483C22semidirect
84. C13×#483C22semidirect
85. C13×#479C22semidirect
86. C13×#475C22semidirect
87. C13×#470C22semidirect
88. C13×#467C22semidirect
89. C13×#441C22semidirect
91. C13×#428C22semidirect
92. C2×C13×#106C22semidirect
93. #11718850C22semidirect
94. #11718849C22semidirect
95. #11718845C22semidirect
96. #11718798C22semidirect
98. #11718782C22semidirect
99. #11718777C22semidirect
101. C2×#88057C22semidirect
102. #11718755C22semidirect
103. #11718741C22semidirect
104. #11718726C22semidirect
105. #11718724C22semidirect
106. #11718713C22semidirect
107. #11718713C22semidirect
108. #11718712C22semidirect
109. #11718712C22semidirect
110. #11718706C22semidirect
111. #11718705C22semidirect
112. #11718704C22semidirect
113. #11718704C22semidirect
114. #11718691C22semidirect
115. #11718691C22semidirect
116. #11718683C22semidirect
117. #11718681C22semidirect
119. #11718657C22semidirect
120. #11718656C22semidirect
121. #11718632C22semidirect
122. #11718632C22semidirect
123. #11718631C22semidirect
124. #11718625C22semidirect
125. C2×#88048C22semidirect
126. C2×#88048C22semidirect
127. #11718549C22semidirect
128. #11718548C22semidirect
129. #11718545C22semidirect
130. #11718545C22semidirect
131. #11718542C22semidirect
132. #11718542C22semidirect
136. #11718538C22semidirect
137. #11718537C22semidirect
138. #11718537C22semidirect
139. #11718529C22semidirect
140. #11718528C22semidirect
141. #11718523C22semidirect
142. #11718523C22semidirect
143. #11718523C22semidirect
144. #11718523C22semidirect
145. #11718522C22semidirect
146. #11718522C22semidirect
153. D13×#106C22semidirect
154. D13×#106C22semidirect
155. D13×#106C22semidirect
156. D13×#106C22semidirect
157. #11718518C22semidirect
158. #11718517C22semidirect
159. #11718517C22semidirect
160. #11718515C22semidirect
161. #11718515C22semidirect
162. #11718514C22semidirect
163. #11718512C22semidirect
166. #11718490C22semidirect
167. #11718477C22semidirect
168. #11718477C22semidirect
169. #11718476C22semidirect
170. #11718475C22semidirect
171. #11718474C22semidirect
172. #11718474C22semidirect
173. #11718470C22semidirect
174. #11718470C22semidirect
175. #11718466C22semidirect
176. #11718466C22semidirect
177. #11718466C22semidirect
178. #11718466C22semidirect
185. #11718460C22semidirect
186. #11718457C22semidirect
187. #11718452C22semidirect
188. #11718452C22semidirect
189. #11718450C22semidirect
190. #11718450C22semidirect
195. #11718384C22semidirect
196. #11718383C22semidirect
197. #11718382C22semidirect
198. #11718382C22semidirect
199. #11718377C22semidirect
202. #11718363C22semidirect
699. #3344D13direct (N × H)
869. #501C2×D13semidirect
877. #485C2×D13semidirect
885. #484C2×D13semidirect
900. #483C2×D13semidirect
901. #483C2×D13semidirect
909. #479C2×D13semidirect
917. #475C2×D13semidirect
925. #470C2×D13semidirect
933. #467C2×D13semidirect
941. #441C2×D13semidirect
957. #428C2×D13semidirect
974. C2×#106C2×D13semidirect
1315. D13#3344direct (N × H)
1516. C13C2×#3344semidirect

Maximal subgroups

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

subgroupindex
D13×#5542
D13×#5522
#131272982
#131272972
#131272962
#131272952
#131272942
#131272932
#131272922
#131272912
#131272902
#131272892
#131272882
#131272872
#131272862
#131272852
#131272842
D13×#5012
D13×#4842
D13×#4852
D13×#4832
D13×#4792
D13×#4752
D13×#4702
D13×#4672
D13×#4412
D13×#4352
D13×#4282
C2×D13×#1062
C13×#33442
C2×#334413